#1 p(x)=(x-3)*(x-5)*(x-1)=x3-9x2+23x-15
You try the next one...a fractional root would look like (x-3/2)
Using the Factor Theorem, it is found that an example of a polynomial of degree at least 3 where one or more of the roots are fractions is given by:
[tex]f(x) = x^3 - \frac{7}{2}x^2 + \frac{1}{2}x - 1[/tex]Factor Theorem: The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.In this problem:
A polynomial of degree 3 will be built, hence it will have 3 roots.A leading coefficient of a = 1 is supposed.Two non-fractional roots, which are x = 1 and x = 2, hence [tex]x_1 = 1, x_2 = 2[/tex].The fractional root is [tex]x_3 = \frac{1}{2}[/tex].Hence:
[tex]f(x) = (x - x_1)(x - x_2)(x - x_3)[/tex]
[tex]f(x) = (x - 1)(x - 2)\left(x - \frac{1}{2}\right)[/tex]
[tex]f(x) = (x^2 - 3x + 2)\left(x - \frac{1}{2}\right)[/tex]
[tex]f(x) = x^3 - \frac{7}{2}x^2 + \frac{1}{2}x - 1[/tex]
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what is 5+6? Show your work
Answer:
11
Step-by-step explanation:
2+2+1(5)+3+3(6) =11
toni had 5 1/2 kilograms of sugar.how many cakes can he bake if he ise 1/4 hilogram of sugar per cake?
pls i need the answer
Answer:
22 cakes
Step-by-step explanation:
5 1/2kg = 11/2 = 22/4
22/4 is what you have in sugar while you only need 1/4 per cake, so you can make 22 cakes
Answer:
He can makec 22 cakes
Step-by-step explanation:
He use,
[tex] \frac{1}{4} kg = 1 \: \: cake \\ [/tex]
Let's find how many caked will he make from 5 1/2kg
Let the unknown number of cakes be x
[tex] \frac{1}{4} = 1 \\ 5 \frac{1}{2} = x[/tex]
[tex] \frac{1x}{4} = 5 \frac{1}{2} \\ \frac{1}{4} x = \frac{11}{2} [/tex]
Use cross multiplication
[tex]2 \times 1x = 11 \times 4 \\ 2 x= 44 \\ \frac{2x}{2} = \frac{44}{2} \\ x = 22[/tex]
Hope this helps you
Let me know if you have any other questions :-):-)
What is the solution to the system -3×+4y+2z=-3 2×-4y-z=0 y=3x-13
Answer:
x=5, y=2, z=2
Step-by-step explanation:
y=3x-13
-3x+4y+2z = -3x + 4(3x-13) + 2z = 9x+2z-52 = -3
9x + 2z = 49 ... (1)
2x-4y-z = 2x-4(3x-13)-z = -10x-z+52 = 0
10x + z = 52 ... (2)
(2)*2-(1): 11x = 55 x = 5
y = 3x-13 = 15-13 = 2 y=2
z = (49-9x) / 2 = 2 z = 2
Examine the following sequence 1, 4, 9, 16, 25.... Why is 36 the next number in the sequence? Because the pattern
is:
a. Add the next even number
Cube the number of the term, n
b. Square the number of the term, n
d. Add 2 + the number of the term, n
C.
Please select the best answer from the choices provided
А
B
ОООО
Save and Exit
Next
Submit
Mark this and return
Answer:
b
Step-by-step explanation:
1,4,9,16,25,36,...
we see every number is square of numbers .
every number can be represented by n²
1²=1
2²=4
3²=9
4²=16
5²=25
6²=36
First correct answer gets Brainliest
Answer:
37.6
Step-by-step explanation:
......... . .. .................
How many tenths are there in ⅘
Answer:
8
Step-by-step explanation:
4/5 = ?/10
4/5 * (2/2) = ?/10
8/10 = ?/10
Answer:
8
Step-by-step explanation:
multiply the denominator and numerator, you get 8/10
The value of an asset, currently priced at $100 000, is expected to increase by 20% a
year.
(a) Find its value in 10 years’ time.
(b) After how many years will it be worth $1 million?
Answer:
A) it will become 300,000 in the next 10 years.
0.04 kL to g
What is the answer to this
Answer:
40g
Step-by-step explanation:
The answer is 40 gallons
Is (3,-10) a solution to the function y = - 4x + 2? Answer "yes" or "no". Then explain why it is or
is not a solution
Need ASAP
Answer:
Yes
Step-by-step explanation:
( x, y ) = ( 3, - 10 )
Here,
x = 3
y = - 10
y = - 4x + 2
- 10 = - 4 ( 3 ) + 2
- 10 = - 12 + 2
- 10 = - 10
LHS = RHS
Therefore,
( 3, - 10 ) a solution to the function y = - 4x + 2.
Anya drove 2 hours to get to the train
station. Then she rode the train for 14
hours. She drove about 55 miles per
hour. The train traveled at about 80
miles per hour. How many miles did
Anya travel altogether?
Question is in picture. Please help
Answer:
Step-by-step explanation:
441 km in 45s does
215 km in 25s doesnt
649 km in 110s doesnt
standard form of 1.23 * 10 to the 11th power
1. Convert to decimal notation
The exponent is 11, making it 10 to the power of 11. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 11 time(s):
[tex]1.23 -> 123000000000[/tex]A dolphin swims 15 feet below sea level, and then jumps 4 feet above sea level. How far did the dolphin rise?
Answer:
19 feet
Step-by-step explanation:
The dolphin goes from 15 feet below then he goes above the ocean by 4. So add 15 + 4 to get 19 feet.
Convert 34.6 centimeters to inches. Use 1 in=2.54 cm.
What is the value of this expression when a = 7 and b = -4
Answer:
[tex] \longmapsto\frac{ |2a| - b }{3} \\ = \frac{ 2|a| - b }{3} \\ = \frac{2 |7| - ( - 4) }{3} \\ = \frac{2(7) + 4}{3} \\ = \frac{14 + 4}{3} \\ = \frac{18}{3} \\ = \boxed6[/tex]
D. 6 is the right answer.Formule una propiedad algebraica basica del sistema de numeros reales para justificar cada uno de los siguientes enunciados, donde Y y Z representan numeros reales. a) (y + 2)z+3=(yz+2z)+3 b) (4+7)y=y(4+7) C) (1+4)+3=4+(1+3)
Answer:
Nose :>
Step-by-step explanation:
.
The algebraic properties that can be applied in this case are: distributive property, commutative property, associative property.
What properties can we apply in this situation?a) Distributive Property: (y + 2)z + 3 = yz + 2z + 3. The distributive property establishes that multiplication is distributed over addition or subtraction, allowing us to simplify the original expression by adding the product of y and z to 2z and then adding 3.b) Commutative property: 4y + 7y = y(4 + 7). The Commutative Property of Multiplication states that the order of the factors does not affect the result. Here, 4y and 7y can be rearranged as y(4) and y(7) respectively, keeping the same result.c) Associative Property: (1 + 4) + 3 = 4 + (1 + 3). The Associative Property of Addition states that numbers can be grouped in different ways without changing the sum total. Both sides of the equation group the numbers the same way.Note: The question is in Spanish. Here is the question in English:
Formulate a basic algebraic property of the real number system to justify each of the following statements, where Y and Z represent real numbers. a) (y + 2)z + 3 = (yz + 2z) + 3
b) (4 + 7)y = y (4 + 7)
c) (1 + 4) + 3 = 4 + (1 + 3)
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A furniture store purchased a dining room table and marked it up 150% from the original cost
of $456. A week later, the store placed the dining room table on sale for 30% off. What was
the discount price?
Answer:
Step-by-step explanation:
Identify what you are asked to find. What is the sales tax?
Choose a variable to represent it. Let t = sales tax.
Write a sentence that gives the information to find it. The sales tax is 6.5% of the purchase price.
Translate into an equation. (Remember to change the percent to a decimal).
Simplify. t = 25.48
Check: Is this answer reasonable? Yes, because the sales tax amount is less than 10% of the purchase price.
Write a complete sentence that answers the question. The sales tax is $25.48.
(b)
Identify what you are asked to find. What is the total cost of the bicycle?
Choose a variable to represent it. Let c = total cost of bicycle.
Write a sentence that gives the information to find it. The total cost is the purchase price plus the sales tax.
Translate into an equation. (Remember to change the percent to a decimal).
Simplify. c = 417.48
Check: Is this answer reasonable? Yes, because the total cost is a little more than the purchase price.
Write a complete sentence that answers the question. The total cost of the bicycle is $417.48.
Exercise 6.3.1 :
Find (a) the sales tax and (b) the total cost: Alexandra bought a television set for $724 in Boston, where the sales tax rate was 6.25% of the purchase price.
Answer a
Answer b
Exercise 6.3.2 :
Find (a) the sales tax and (b) the total cost: Kim bought a winter coat for $250 in St. Louis, where the sales tax rate was 8.2% of the purchase price.
Answer a
Answer b
Example 6.3.2 :
Evelyn bought a new smartphone for $499 plus tax. She was surprised when she got the receipt and saw that the tax was $42.42. What was the sales tax rate for this purchase?
Solution
Identify what you are asked to find. What is the sales tax rate?
Choose a variable to represent it. Let r = sales tax.
Write a sentence that gives the information to find it. What percent of the price is the sales tax?
Translate into an equation.
Divide.
499r499=42.42499(6.3.1)
Simplify r = 0.085
Check. Is this answer reasonable? Yes, because 8.5% is close to 10%. 10% of $500 is $50, which is close to $42.42.
Write a complete sentence that answers the question. The sales tax rate is 8.5%.
Exercise 6.3.3 :
Diego bought a new car for $26,525. He was surprised that the dealer then added $2,387.25. What was the sales tax rate for this purchase?
Answer
Exercise 6.3.4 :
What is the sales tax rate if a $7,594 purchase will have $569.55 of sales tax added to it?
You can use the method of calculating the percentage of an amount to find out the discount amount.
The discount price for the given condition was $205.2
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is [tex]\dfrac{a}{100} \times b[/tex]
How to find the discount price?First we will find the marked price since the discount price was calculated on the marked price.
Since marked price was 150% of the cost price $456, thus,
[tex]\text{Marked price} = \dfrac{456}{100} \times 150 = \$684[/tex]
Thus, the marked price of the furniture was $684
Now, since the discount offered on the price was 30%, thus,
[tex]Discount = \dfrac{\text{Marked price}}{100} \times \text{Discount percent} =\dfrac{684}{100} \times 30\\\\Discount = \$205.2[/tex]
Thus,
The discount price for the given condition was $205.2
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plz help me I'm about to cry
Answer:
yyy i will help....... dont cry
Evaluate.
-11.9
-1
Enter your answer in the box.
-11.9 -1 = -12.9
Your answer is negative 12.9
Answer:
-12.9
Step-by-step explanation:
Hope this helps you! :)
2.5% of 2 2/5
is what number?
Answer:
The number is 0.06, or 6 hundredths.
Step-by-step explanation:
If we convert 2 2/5 to a decimal, we get 2.4
Then, we can convert our percentage to a decimal by moving our digits two units down, giving us .025.
Now, we can multiply 2.4 and .025, which gives us 0.06
Estimate 25.65 + 13.23 + 6.35 by rounding each number to the nearest tenth.
a. 26 + 13 + 6 = 45
b. 25.7 + 13.2 + 6.4 = 45.3
c. 25.6 + 13.2 + 6.3 = 45.1
d. 25.7 + 13.3 + 6.4 = 45.4
Answer:
b. 25.7 + 13.2 + 6.4 = 45.3Step-by-step explanation:
25.65 ≈ 25.7, 13.23 ≈ 13.2, 6.35 ≈ 6.4
25.65 + 13.23 + 6.35 =25.7 + 13.2 + 6.4 = 45.3Correct choice is b.
Someone help its multiple choice im so confused
Lashonda exercises at least 50 minutes per day. Use t to represent Lashonda's amount of exercise (in minutes per day).
The question is an illustration of inequalities.
The inequality that represents Lashonda's amount of exercise is: [tex]\mathbf{t \ge 50}[/tex]
The given parameter is:
[tex]\mathbf{Minutes = At\ least\ 50}[/tex]
In inequality, at least means greater than or equal to.
So, the above equation becomes:
[tex]\mathbf{Minutes \ge 50}[/tex]
From the question, we understand that the number of minutes should be represented with t.
So, we have:
[tex]\mathbf{t \ge 50}[/tex]
Hence, the inequality is: [tex]\mathbf{t \ge 50}[/tex]
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I NEED HELP VERY BADLY
Tracy has a savings account which earns interest at a rate of 8% each year. Let t
represent the amount of interest Tracy earns.
George earns the same amount of interest as Tracy. Let g represent the amount of interest George earns.
Peter does not earn the amount of interest as Tracy. Let p represent the amount of interest Peter earns.
Which statement is true?
A.
g ≠ p
B.
t ≠ g
C.
t = g
D.
p = t
Answer:
A
Step-by-step explanation:
Which of the following is the simplified form of m +5m16.
m-2
A
m24
m-3
C.
+3
T+2
B.
D. (m+3)(m-2)
m-2
Answer:
sorry but I don't know
Step-by-step explanation:
pa follow pa follow
Find the Measure of The missing angles
Answer:
∆K = 98°
∆M = 82°
∆G = 118°
∆H = 62°
Step-by-step explanation:
∆K & ∆G is by corresponding angle
and
∆M & ∆H is by linear pairs
-11/16*(-4/33) van you please help me answer this question?
Answer:
1/12
Step-by-step explanation:
[tex] - \frac{11}{16} \times - \frac{4}{33} [/tex]
if you know how to cancel, you can cancel the 4 and 16. The 4 becomes a 1 and 16 becomes a 4. Next cancel the 11 and 33. the 11 becomes a 1 and the 33 becomes a 3.
[tex] - \frac{1}{4} \times - \frac{1}{3} [/tex]
multiply, two negatives make a positive
[tex] \frac{1}{12} [/tex]
What is the equation of the line that passes through the point (-7,-7) and has a slope of 11?
Answer:
y = 7 is the equation of the line that passes through the point ( -2, 7 ) and has a slope of zero.
Step-by-step explanation:
Given:
Let,
A ≡ ( x1 , y1 ) ≡ ( -2, 7 )
Slope = m = 0
To Find :
Equation of Line:
Solution:
Formula for , equation of a line passing through a point ( x1 , y1 ) and having a slope m is given by
Now substituting the values of x1 = -2 and y1 = 7 and slope m = 0 we get,
Which is the required equation of a line passing through the point ( -2, 7 ) and slope zero
Step-by-step explanation:
Answer:
y = 11x + 70
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 11 , then
y = 11x + c ← is the partial equation
To find c substitute (- 7, - 7 ) into the partial equation
- 7 = - 77 + c ⇒ c = - 7 + 77 = 70
y = 11x + 70 ← equation of line
Definition of Linear relationship
Answer:
Résultat de recherche d'images pour "Definition of Linear relationship"
A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b
Step-by-step explanation:
Please answer as soon as possible HURRY! Please I need help
2. Write a Linear equation for the function represented by the table
Step-by-step explanation:
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