The degree and terms of the polynomial are explained and an example is also discussed.
What are polynomials?
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. It is a mathematical expression made up of exponents, constants, and variables that are mixed using addition, subtraction, multiplication, and division (No division operation by a variable).
The expression's components that are divided up by the operators "+" or "-" are referred to as polynomial terms. In polynomials, like terms are ones that share the same variable and power. Unlike terms are those that have dissimilar variables and/or dissimilar powers.
The degree of a polynomial is the highest or biggest exponent of the variable in the polynomial. A polynomial equation's maximum number of solutions can be calculated using the degree.
The different types of polynomials based on terms are:
Monomial - Single termBinomial - Two termsTrinomial - Three termsThe different types of polynomials based on the degree are:
Constant polynomial - Zero degreeLinear polynomial - Degree is oneQuadratic polynomial - Degree is twoCubic polynomial - Degree is 3Example,
Consider a polynomial 3x² + 5x + 4
Number of terms = 3 (Trinomial)
Degree = 2 (Quadratic polynomial)
Therefore the degree and terms of the polynomial are explained and an example is also discussed.
To learn more about polynomials, follow the link.
https://brainly.com/question/2833285
#SPJ1
The answer is:
⇨ belowWork/explanation:
Here's how we classify polynomials based on the number of terms:
monomial - has only one term
binomial - has two terms
trinomial - has three terms
polynomial - has four terms or more
As for degrees, those are the highest exponents the polynomial.
Example: Classify [tex]\bf{2p^2+p}[/tex].
It has 2 terms so it's a binomial.
Its highest exponent is 2 so it's a second degree binomial.
Hence, that's how we classify polynomials.FIND THE VALUE OR EXPRESSION FOR 0
Answer options
28
62
90 - y
55
35
The trigonometric ratios of sine and cosines indicates that we get;
θ = 35 degreesθ = 62 degreesθ = 90 - yWhat are trigonometric ratios?Trigonometric ratios specify the relationship between two sides of a right triangle and the acute angle in the right triangle.
The specified equations are presented as follows;
1. sin(55) = cos(θ)
The sine of an angle is the ratio of the opposite side to the angle in a right to the hypotenuse side of the right triangle
The trigonometric ratio of the cosine of an angle is the ratio of the adjacent side to the angle to the hypotenuse side in a right triangle
The acute angles in a right triangle are complementary
Let A and B represent the acute angles of a right triangle, we get;
The adjacent side to the angle A is the opposite side to the angle B
The hypotenuse side remains the same, therefore;
cos(A) = sin(B), and sin(A) = cos(A)
Which indicates; sin(55) = cos(90 - 55) = cos(35)
sin(55) = cos(θ) = cos(35)
θ = 352. cos (28) = sin(90 - 28) = sin(62)
cos(28) = sin(62)
sin(θ) = sin(62) = cos(28)
θ = 623. cos(y) = sin(θ)
cos(y) = sin(90 - y)
cos(y) = sin(90 - y) = sin(θ)
90 - y = θLearn more trigonometric ratios here: https://brainly.com/question/30247445
#SPJ1
PLEASE HELP I NEED THIS DUE FIR TMRRRRRRRRRRRR
find and explain the error in the work below. multiply: (2x-3)(6x+2)
2x(6x)+2x(2)-3(6x)+3(2)
12x^2+4x-18x+6
12x^2-14x+6
find and explain the error in the work for the given problem.
Step-by-step explanation:
the error happened in line 2 :
(2x - 3)(6x + 2)
= 2x6x + 2×2x - 3×6x - 3×2 (instead of +3×2)
the error was using the wrong sign for the term 3×2. it was created by -3 multiplied by +2 = -3×2.
A jar contains 54 coins consisting of quarters and dimes. The total value of the coins is $16.85. Which system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the
jar?
Answer:
Let q be the number of quarters in the jar and d be the number of dimes in the jar.
The total number of coins in the jar is given as 54, so we can write:
q + d = 54
The total value of the coins is $16.85. We can express this as the sum of the values of the quarters and the dimes in the jar:
0.25q + 0.10d = 16.85
Therefore, the system of equations that can be used to determine the number of quarters and dimes in the jar is:
q + d = 54
0.25q + 0.10d = 16.85
consider the system obtained from the following augmented matrix
1 2 -1 4
0 -1 1 3
0 0 k^2-2k -3 k-3
for which values of k will the corresponding system be inconsistent
The values of k that make the system inconsistent are k = 0 and k = 2.
The system obtained from the given augmented matrix is:
```
1 2 -1 | 4
0 -1 1 | 3
0 0 k^2-2k | -3k-3
```
For the system to be inconsistent, the last equation must be a contradiction, meaning that the coefficients of the variables are all zero but the constant term is nonzero. In other words, we need `k^2-2k = 0` and `-3k-3 ≠ 0`.
Solving for k in the first equation, we get:
```
k^2-2k = 0
k(k-2) = 0
```
So k = 0 or k = 2.
However, we also need `-3k-3 ≠ 0`, which means that k ≠ -1. Therefore, the values of k that make the system inconsistent are k = 0 and k = 2.
Learn more about contradiction
brainly.com/question/11987447
#SPJ11
If there are 16 cups in one gallon how many cups are there in three gallons
Answer:
48 cups
Step-by-step explanation:
‐-------------------
9 = ? − 30..................................................................................................
Answer: 39
Step-by-step explanation: 9 = ? - 30, add 30 on both sides you get 39=?
plssssssss help, Geometry
Answer:
2 tangents
with common points p and O touching both the circles only 2 tangets can be drawn
216,777777 to 2 decimal places
The round-off of the number 216,777777 to 2 decimal places is 216.78.
What is the rounding off to the number?When a number is rounded off, its value is preserved while it is moved closer to the next number. simplifying the number. It is done for whole numbers as well as decimals at different places of hundreds, tens, tenths, and so on.
A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. If the number after it is between 5 and 9, it will be rounded up to its higher value.
To round 216,777777 to 2 decimal places, we look at the third decimal place, which is 7. Since 7 is greater than or equal to 5, we round up the second decimal place, which is 7. Therefore, 216,777777 rounded to 2 decimal places is 216,78.
To know more about rounding off numbers follow
brainly.com/question/10340128
#SPJ1
I need your help with dis math
Answer: C. 1/2
Step-by-step explanation:
The coefficient is the number being multiplied by q. The sum is the additive total. To add fractions, they need a common denominator.
2/3 = 4/6
Adding a negative is the same as subtracting.
4/6 + (-1/6) = 4/6 - 1/6 = 3/6 = 1/2
Hope this helps!
help plsssss brother im dyinggg
Answer:
mAngle EFG = 139°
mAngle IFH = 49°
Step-by-step explanation:
First, just look at the top half of the diagram. Straight across D, F, G is a straight line. That's 180° We can write an equation with the two marked angles added up, equal to 180° to solve for x and to solve for those two angles. See image.
Then look for two crossing lines that makes a giant x (not a variable, on the image) That's EH and DG. The angles that are across from each other are called Vertical angles and they are equal to each other. See image.
Last, see the bottom part of the image where an angle is marked with a little tiny square. That means its a right angle and is 90°. We can subtract to find the second angle that we're being asked to find. See image.
Find out what X and Y equal.
x =
y =
The measures of the two interior angles are:
x = 62°
y = 118°
How to find the values of x and y?We can see a cuadrilateral, if the sides are parallel like in this case, opposite interior angles have the same measure, then:
x = 62°
And we know that adjacent angles should add up to 180°, then:
y+ 62° = 180°
y = 180° - 62° = 118°
These are the measures of the two interior angles.
Learn more about interior angles at
https://brainly.com/question/24966296
#SPJ1
Lester paid $31.00 for 5 pens and 4 books altogether . A book cost $1.00 more than a pen .Stephan bought 6 pens and 3 books at the same price . How much will Stephan pay
Your friend, Tomato Head paid $17 for a shirt. This amount was 85% of the total amount
Tomato Head spent while shopping. How much money did Tomato Head spend?
What is the absolute deviant of 18, 13, 20, 14, 12, 6, 11, 5, 15, 10
The question is in the screenshot:
Answer:
13
Step-by-step explanation:
First drop the line.
How many units is it from Point [tex]r[/tex] to the x axis?
12.
How many units is it from Point [tex]r[/tex] to the y axis?
5.
Now we can use the Pythagorean Theorem.
[tex]12^5+5^2=c^2[/tex]
[tex]144+25=c^2[/tex]
[tex]c^2=169[/tex]
[tex]c=13[/tex]
7. Solve the radical equations: (a)x2+3=x+4(b)2x−1−x−4=2
a. The equation "(a) x2+3=x+4" gives the solution as x = 1.
b. The equation "(b) 2x-1-x-4=2" gives the solution as x = -1.
To solve these radical equations, we will need to isolate the radical on one side of the equation and then square both sides to get rid of the radical. After that, we can solve for x using standard algebraic methods.
(a) x2+3=x+4
First, we will isolate the radical on one side of the equation:
x2+3=x+4
x2=x+4-3
x2=x+1
Now, we will square both sides of the equation to get rid of the radical:
(x2)2=(x+1)2
x4=x2+2x+1
Next, we will rearrange the equation and set it equal to zero:
x4-x2-2x-1=0
Now, we can use the quadratic formula to solve for x:
x=(-(-2)±√((-2)2-4(1)(-1)))/(2(1))
x=(2±√(4+4))/(2)
x=(2±√8)/(2)
x=(2±2√2)/(2)
x=1±√2
So, the solutions for x are 1+√2 and 1-√2.
(b) 2x−1−x−4=2
First, we will isolate the radical on one side of the equation:
2x−1=x−4+2
2x−1=x−2
Now, we will square both sides of the equation to get rid of the radical:
(2x−1)2=(x−2)2
4x2-4x+1=x2-4x+4
Next, we will rearrange the equation and set it equal to zero:
3x2=3
Now, we can solve for x by dividing both sides of the equation by 3 and taking the square root:
x2=1
x=±√1
x=±1
So, the solutions for x are 1 and -1.
You can learn more about radical equations at
https://brainly.com/question/2292715
#SPJ11
I’ll give brainlyyyyy
Answer:
CD = 22
Step-by-step explanation:
You would double the side lengths given since this is a rectangle and set them equal to 80 cause that is the perimeter. So the equation would be 6z + 6 + 8z + 4 = 80. You would use the PEDMAS rule and subtract 6 from both sides which gives you:
6z + 8z +4 = 74
Subtract 4 from both sides
6z + 8z = 70
Add 6z + 8z
14z = 70
Divide 70 and 14z
z = 5.
AB and CD is equal in length so all you have to do is plug in 5 to z in the AB equation.
4(5) + 2
= 22
The deepest lake in the world is Lake Baikal, in Russia. It has a depth of 5369 ft.
Canada’s deepest lake is Great Slave Lake, named after the Slavey (Dene Tha) peoples
who live there. It is located in the Northwest Territories and has a depth of 2015 ft.
Quesnel Lake, south of Prince George, BC, is the deepest fjord lake in the world. It has
a depth of 506 m.
Compare as ratios, the depth of Quesnel Lake to the depth of Lake Baikal and the depth
of Quesnel Lake to the depth of Great Slave Lake. Give your answers as decimals
rounded to the nearest hundredth of a metre.
Step #1: Determine the ratio of Quesnel Lake : Lake Baikal. *Careful with units!*
Step #2: Determine the ratio of Quesnel Lake : Great Slake Lake. *Careful with units*
The response to the given question would be that As a result, when equation comparing their depths, Quesnel Lake is substantially shallower than Lake Baikal yet deeper than Great Slave Lake.
What is equation?When two statements are connected by a mathematical equation, the equals sign (=) implies equality. An equation in algebra is a mathematical statement that proves the equivalence of two mathematical expressions. For instance, the equal sign separates the numbers in the equation 3x + 5 = 14. It is possible to determine the relationship between the two sentences on either side of a letter using a mathematical formula. The logo for the particular piece of software is frequently the same. as 2x - 4 = 2, for instance.
From Quesnel Lake to Lake Baikal, the distance is 506 metres.
Lake Baikal is 5369 ft (or 1637.74 m) deep (one foot is equal to 0.3048 m).
Ratio of depths is 506 / 1637.74 0.31 (Depth of Quesnel Lake/Deep of Lake Baikal).
Around 31% of Lake Baikal's depth is in Quesnel Lake.
Great Slave Lake to Quesnel Lake: Quesnel Lake is 506 metres deep.
Great Slave Lake's depth is 2015 feet, or 614.18 metres (1 foot = 0.3048 m).
Ratio of depths is 506 / 614.18 0.82 (Depth of Quesnel Lake / Depth of Great Slave Lake).
Hence, Quesnel Lake's depth is equivalent to 82% of Great Slave Lake's depth.
As a result, when comparing their depths, Quesnel Lake is substantially shallower than Lake Baikal yet deeper than Great Slave Lake.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Let x be the smallest number which when added to 2000 makes the resulting number divisible by 12,16,18 and 21 the sum of the digits of x is
The sum of the digits of the number which when added to 2000 makes the resulting number divisible by 12,16,18 and 21 is 7
The smallest number which when added to 2000 makes the resulting number divisible by 12, 16, 18, and 21 is 312. The sum of the digits of x is 3 + 1 + 2 = 6.
To find the smallest number x that can be added to 2000 to make the resulting number divisible by 12, 16, 18, and 21, we need to find the least common multiple (LCM) of these numbers.
The LCM of 12, 16, 18, and 21 is 1008. Then we need to find the smallest multiple of 1008 that is greater than 2000. This is 1008 * 3 = 3024. The difference between 3024 and 2000 is 1024, so x = 1024.The sum of the digits of x is 1 + 0 + 2 + 4 = 7. Therefore, the sum of the digits of x is 7.
To know more about LCM refer here:
https://brainly.com/question/20410677#
#SPJ11
the polynomial in factored form as a produ f(x)=12x^(5)+5x^(4)-39x^(3)+9x^(2)+19x-6
The polynomial in factored form as a product can be found by using the factor theorem and synthetic division. The factor theorem states that if f(a) = 0, then (x-a) is a factor of f(x). We can use synthetic division to find the factors of f(x)=12x^(5)+5x^(4)-39x^(3)+9x^(2)+19x-6.
First, we need to find a value of x that makes f(x) = 0. We can use the rational root theorem to find possible rational roots. The possible rational roots are ±1, ±2, ±3, ±6. We can use synthetic division to test these possible roots.
Using synthetic division with x = 1, we get a remainder of -1, so x = 1 is not a root. Using synthetic division with x = -1, we get a remainder of 0, so x = -1 is a root and (x+1) is a factor of f(x).
Now we can divide f(x) by (x+1) using synthetic division to get the quotient 12x^(4)-7x^(3)-32x^(2)+41x-6. We can repeat the process of finding possible rational roots and using synthetic division to find the factors of this quotient.
The possible rational roots of the quotient are ±1, ±2, ±3, ±6. Using synthetic division with x = 1, we get a remainder of 8, so x = 1 is not a root. Using synthetic division with x = -1, we get a remainder of 0, so x = -1 is a root and (x+1) is a factor of the quotient.
We can divide the quotient by (x+1) using synthetic division to get the new quotient 12x^(3)-19x^(2)-13x+6. We can repeat the process of finding possible rational roots and using synthetic division to find the factors of this new quotient.
The possible rational roots of the new quotient are ±1, ±2, ±3, ±6. Using synthetic division with x = 1, we get a remainder of -14, so x = 1 is not a root. Using synthetic division with x = -1, we get a remainder of 0, so x = -1 is a root and (x+1) is a factor of the new quotient.
We can divide the new quotient by (x+1) using synthetic division to get the new quotient 12x^(2)-31x+6. We can repeat the process of finding possible rational roots and using synthetic division to find the factors of this new quotient.
The possible rational roots of the new quotient are ±1, ±2, ±3, ±6. Using synthetic division with x = 1, we get a remainder of -13, so x = 1 is not a root. Using synthetic division with x = -1, we get a remainder of 49, so x = -1 is not a root. Using synthetic division with x = 2, we get a remainder of 0, so x = 2 is a root and (x-2) is a factor of the new quotient.
We can divide the new quotient by (x-2) using synthetic division to get the new quotient 12x-3. This quotient cannot be factored further, so the factors of f(x) are (x+1)(x+1)(x+1)(x-2)(12x-3).
Therefore, the polynomial in factored form as a product is f(x) = (x+1)(x+1)(x+1)(x-2)(12x-3).
Learn more about factor theorem
brainly.com/question/13547729
#SPJ11
Identify the coefficient and the degree of each term of the polynomial. Then find t polynomial. 80x^(9)y^(2)-6x^(4)yz-8
The coefficient of the first term is 80, and the degree is 9; the coefficient of the second term is -6, and the degree is 4; the coefficient of the third term is -8, and the degree is 0. The polynomial is 80x^(9)y^(2)-6x^(4)yz-8.
The coefficient of a term in a polynomial is the number that is multiplied by the variable(s) in the term. The degree of a term is the sum of the exponents of the variables in the term.
In the first term, 80x^(9)y^(2), the coefficient is 80 and the degree is 9 + 2 = 11.
In the second term, -6x^(4)yz, the coefficient is -6 and the degree is 4 + 1 + 1 = 6.
In the third term, -8, the coefficient is -8 and the degree is 0 since there are no variables.
The polynomial is already in standard form, so there is no need to find the polynomial. It is simply 80x^(9)y^(2)-6x^(4)yz-8.
For more such questions on Polynomial.
https://brainly.com/question/20630027#
#SPJ11
HELP ASAP
The hypotenuse of a right triangle measures 2√15 centimeters and its shorter leg measures 2√6
centimeters. What is the measure of the larger acute angle of the triangle? Round your answer to the nearest tenth of a degree.
Answer: Let's use the trigonometric ratio of sine to find the measure of the larger acute angle of the right triangle. We have:
sin(theta) = opposite / hypotenuse
where theta is the measure of the larger acute angle, and opposite is the length of the shorter leg of the right triangle. Substituting the given values, we get:
sin(theta) = 2sqrt(6) / 2sqrt(15)
= sqrt(2/5)
Using a calculator, we can find the value of theta to the nearest tenth of a degree:
theta = arcsin(sqrt(2/5))
≈ 38.2°
Therefore, the measure of the larger acute angle of the right triangle is approximately 38.2 degrees.
Step-by-step explanation:
Please help!! Math inequalities. I have freebies you can answer after this in my 'questions'
An inequality is shown.
Select the statement(s) and number line(s) that can represent the inequality. Click all that apply.
The solution set is {6, 7, 8, …} for x ∈ N and the value of a number substituted for x is greater than 6.
What is inequality?An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
Here, we have
Given: Inequality:
12+11/6x ≤ 5+3x
We have to determine the statement(s) and number line(s) that can represent the inequality.
12+11/6x ≤ 5+3x
12(6x) + 11 ≤ 6x(5+3x)
72x +132 ≤ 30x + 18x²
42x + 132 ≤ 18x²
7x + 22x ≤ 3x²
we concluded that the value of a number substituted for x is greater than 6.; b. The solution set is {6, 7, 8, …} for x ∈ N." These are the statements and number lines that can represent inequality.
Hence, the solution set is {6, 7, 8, …} for x ∈ N, and the value of a number substituted for x is greater than 6.
To learn more about inequality from the given link
https://brainly.com/question/25944814
#SPJ1
PLEASEEEEE HELPPPP PLEASEEE
Minimum - 2
First Quartile - 4
Median - 8
Third Quartile - 13
Maximum - 15
Find the second smallest number that has 1, 2, 3, 4, and 5 as factors...
The second smallest number that has 1, 2, 3, 4, and 5 as factors is 360.
What is factorization?
A number or other mathematical object is factorization or factored when it is written as the product of numerous factors, often smaller or simpler things of the same sort.
To find the smallest number that has 1, 2, 3, 4, and 5 as factors, we can simply multiply these numbers together, since they are all factors of their product:
1 × 2 × 3 × 4 × 5 = 120
Now we need to find the second smallest number with these factors. One way to approach this is to list out the multiples of 120 until we find a number that also has the factors 1, 2, 3, 4, and 5, and is larger than 120.
Multiplying 120 by 2, 3, 4, 5, and 6 gives us the multiples:
240, 360, 480, 600, 720
Checking each of these multiples, we see that only 360 has all the factors 1, 2, 3, 4, and 5. Therefore, the second smallest number that has 1, 2, 3, 4, and 5 as factors is 360.
To know more about factorization visit,
https://brainly.com/question/25829061
#SPJ1
A warehouse contains 3,500 boxes of office supplies. Boxes are added to the warehouse at a rate of 7 boxes per day. Which function can be used to find b, the total number of boxes in the warehouse after d days?
The following function can be used to find b:
b= 7d
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
7 boxes per day
=> For d days , the number boxes will be 7d
total number of boxes
b= 7d
when b= 3,500 ,
3500= 7d
=> d= 3500/7 = 500 days
The following function can be used to find b:
b= 7d
To learn more about the equation from the given link
https://brainly.com/question/28218072
#SPJ1
QUESTION 4 4.1 Calculate the difference between the interest of the following two investmen A and B. A. R5 500 Simple interest 8% for 4 years Grade 9 B. R5 500 Compound interest 7,5% for 3 years
The difference in interest earned between the twο investments is R5 118.08.
Describe Interest?There are twο main types οf interest: simple interest and cοmpοund interest. Simple interest is calculated οnly οn the principal amοunt, while cοmpοund interest is calculated οn bοth the principal amοunt and any accumulated interest frοm previοus periοds.
Interest rates can be fixed οr variable. A fixed interest rate remains the same thrοughοut the lοan οr investment periοd, while a variable interest rate can change οver time depending οn market cοnditiοns.
Interest is an impοrtant cοncept in finance and ecοnοmics, and it plays a key rοle in bοrrοwing and lending, investments, and savings.
Investment A:
Simple interest = P × r × t
Where P = R5 500, r = 8% = 0.08 and t = 4 years
Simple interest = 5500 × 0.08 × 4
Simple interest = 1760
Investment B:
Cοmpοund interest = [tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]
Where P = R5 500, r = 7.5% = 0.075, n = 1 (as it is cοmpοunded annually) and t = 3 years
Cοmpοund interest = [tex]$5500 \times (1 + \frac{0.075}{1} )^{(1 \times 3)} - 5500[/tex]
Cοmpοund interest = 1332.63
The difference between the interest earned οn the twο investments is:
Difference = Investment A - Investment B
Difference = 1760 - 1332.63
Difference = 427.37
Therefοre, the difference in interest earned between the twο investments is R5 118.08.
To know more about Investment visit:
brainly.com/question/14019511
#SPJ9
Evaluate each expression. See Example 4. 45. \( \sin ^{2} 120^{\circ}+\cos ^{2} 120^{\circ} \) 46. \( \sin ^{2} 225^{\circ}+\cos ^{2} 225^{\circ} \) 47. \( 2 \tan ^{2} 120^{\circ}+3 \sin ^{2} 150^{\ci
The final answers are:
Example 4. 45: 1
46: 1
47: \( \frac{17}{12} \)
To evaluate each expression, we can use the identities for sine and cosine, and then simplify.
For example 4. 45, we have:
\( \sin ^{2} 120^{\circ}+\cos ^{2} 120^{\circ} \)
= \( (\frac{\sqrt{3}}{2})^{2}+(-\frac{1}{2})^{2} \)
= \( \frac{3}{4}+\frac{1}{4} \)
= 1
For 46. \( \sin ^{2} 225^{\circ}+\cos ^{2} 225^{\circ} \), we have:
= \( (-\frac{\sqrt{2}}{2})^{2}+(-\frac{\sqrt{2}}{2})^{2} \)
= \( \frac{2}{4}+\frac{2}{4} \)
= 1
For 47. \( 2 \tan ^{2} 120^{\circ}+3 \sin ^{2} 150^{\circ} \), we have:
= \( 2(\frac{\sqrt{3}}{3})^{2}+3(\frac{1}{2})^{2} \)
= \( 2(\frac{1}{3})+3(\frac{1}{4}) \)
= \( \frac{2}{3}+\frac{3}{4} \)
= \( \frac{8}{12}+\frac{9}{12} \)
= \( \frac{17}{12} \)
So the final answers are:
Example 4. 45: 1
46: 1
47: \( \frac{17}{12} \)
Learn more about sine and cosine
brainly.com/question/13813821
#SPJ11
Select the correct answer. Which graph represents this equation? A. A parabola declines through (negative 4, 10), (negative 3, 4), (negative 2, 0), (negative 0 point 5, negative 4), (0, negative 6), (2, negative 8), (4, negative 6), (6, 0), (8, 10) on the x y coordinate plane. B. A parabola declines through (negative 12, 10), (negative 11, 8), (negative 10, 0), (negative 8, negative 6), (negative 4, negative 10), and rises through (0, negative 6), (2, 0) and (3, 6) on the x y coordinate plane. C. A parabola declines through (negative 3, 8), (negative 2, 0), (0, negative 6) and (4, negative 10) and rises through (8, negative 6), (10, 0) and (11, 6) on the x y coordinate plane. D. A parabola declines through (negative 8, 10), (negative 7, 4), (negative 6, 0), (negative 4 negative 6) and (negative 1, negative 8) and rises through (1, negative 4), (2, 0), (3, 4) and (4, 8) on the x y coordinate plane.
The graph of the quadratic function y = 1.5x² + 4x - 2 is given by the image shown at the end of the answer.
How to obtain a graph of a quadratic function?The function for this given problem is defined as follows:
y = 1.5x² + 4x - 2.
a 1.5, b 4, c -2.
By Solving the equation we get these values,
x = -3.09, hence function passes through the point (-3.09, 0).
x = 0.43, hence function passes through the point (0.43, 0).
The y-intercept of this function is given by coefficient c = -2, hence the function also passes through the point (0, -2).
The x-coordinate vertex is given as follows:
x = -b/2a = -4/3 = -1.33.
Hence the y-coordinate vertex is of:
y = 1.5(-1.33)² + 4(-1.33) - 2 = -4.67.
Missing Information
The problem asks for the graph of the following function is given below:
y = 1.5x² + 4x - 2.
To learn more about graph, visit :
https://brainly.com/question/11803331
#SPJ1