Answer: The polynomial has 3 terms and a degree of 10.
Step-by-step explanation:
The given polynomial: [tex]5s^6t^2 + 6st^9 - 8s^6t^2 - 6t^7[/tex]
Here, two terms [tex]5s^6t^2[/tex] and [tex]8s^6t^2[/tex] have same power for s and t i.e. they are like terms.
Combine like terms , we get
[tex]6st^9 - 3s^6t^2 - 6t^7.[/tex] i.e. there are 3 terms.
Degree of [tex]6st^9[/tex] is 1+9=10;
Degree of [tex]- 3s^6t^2[/tex] is 6+2=8;
Degree of [tex]- 6t^7[/tex] is 7.
Since degree of the polynomial = highest degree i.e. 10
Hence, the polynomial has 3 terms and a degree of 10.
The statement which is true about the polynomial 5s⁶t² + 6st⁹ – 8s⁶t² – 6t⁷ is; It has 4 terms and a degree of 10.
Discussion:
By counting the number of terms in the polynomial;
We can conclude that the polynomial has 4 terms and hence can be called a tetranomial.Additionally, the degree of the polynomial is 10.
This is from the term with the highest degree which is; 6st⁹; where s has degree 1 and t has degree 9; total of which is; 10.
Read more on polynomial degree;
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What happens when the multiplicity of a real root is odd?
Answer:
A: the graph will cross the x-axis
Answer:
A: the graph will cross the x-axis
Step-by-step explanation:
Please Help the question is below!!!
Answer:
A is right its acute angle
Step-by-step explanation:
because supplementary is 180
therefore A +B = 180
since we know A
B = 180- A
B = 73
which is an acute angle as its less than 90
pls mark me brainliest pls
Answer:
Step-by-step explanation:
(a) Acute
A=107 deg
B=?
given A+B=180
=> B=180-A
= 180-107
= 73
SO, B is an acute angle.
Which is the factored form of 64p3 + 125?
Select one:
O a. (4p + 5)2
O b. (4p + 5)(16p? + 20p + 25)
O c. (4p - 5)(16p² – 20p + 25)
O d. (4p + 5)(16p– 20p + 25)
Answer:
q .no d
Step-by-step explanation:
64p^3+125
4p^3+ 5^3
(4p+ 5 ) ( 4p^2- 4p *5 + 5^2)
(4p+5) (16p- 20p+ 25)
Answer:
The answer is
(4p + 5)( 16p² - 20p + 25)Step-by-step explanation:
64p³ + 125
Write the number in exponential form of 3
That's
4³p³ + 5³
Multiply the terms
That's
(4p)³ + 5³
Using the formula
a³ + b³ = ( a + b)(a² - ab + b²)Factor the expression
That's
( 4p + 5 )[ (4p)² - 4p(5) + 5²) ]
Solve the terms in the bracket
We have the final answer as
(4p + 5)( 16p² - 20p + 25)Hope this helps you
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!
Answer:
2. x = -16 y = -10.5
3. x = 4
4. x = 3 y = 2/9 or 0.2222222222222...
Step-by-step explanation:
2.
in my stategy, you plus -5x + 8y = -4 with 6x - 8y = -12
+8y and -8y could delete each other, then y will be gone.
-5x + 6y = 1x = x because -5 + 6 = 1
so then you could got x = (-4) + (-12) which means x = -16
if x = -16 that will then means
(-5) x (-16) + 8y = -4
80 + 8y = -4
8y = -4 - 80
8y = -84
y = -10.5
3.
This question has already given you that y = -5
that means, 3x + 6 × (-5) = -18
3x + -30 = -18
3x = -18 - (-30)
3x = 12
x = 4
4.
Like the 2. qestion, you first plus the 2 equation together,
+9y + -9y = 0
-7x + 4x = -3x
-19 + 10 = -9
than means
-3x = -9
x = 3
then put the x = 3 in one of the equation.
4 x 3 - 9y = 10
12 - 9y = 10
-9y = 10 - 12
-9y = -2
-7 x 3 + 9y = -19
-21 + 9y = -19
9y = -19 + 21
9y = 2
y = 2/9 or 0.2222222222...
Wish this could help you!
Answer:
Step-by-step explanation:
FIRST ,
ADD BOTH EQUATIONS
THEREFORE X=-16 , Y =-21/2
SECOND,
SUBSTITUTE Y=-5 IN EQN.1
THEREFORE X= 4 , Y=-5
THIRD ,
ADD BOTH EQUATIONS
THEREFORE X= 3 , Y= 2/9
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Suppose that 24 inches of wire costs 72 cents. At the same rate, how much (in cents) will 38 inches of wire cost?
Answer:
114
Step-by-step explanation:
if,
24inches=72cents
38inches=?
we cross multiplication,
38times72=2736 divide with 24=114
The answer is114
Answer:
114............
Step-by-step explanation:
Suppose Tom has 18 coins totaling $3.00. If he has only dimes and quarters how many of each type does he have
Answer:
8 dimes and 10 quarters
Step-by-step explanation:
Answer:
8 quarters and 10 dimes
Step-by-step explanation:
8 quarters = $2 + 10 dimes = $1 = 18 coins and $3
For the following right triangle, find the side length x, Round your answer to the nearest hundredth.
Answer:
x ≈ 15.59
Step-by-step explanation:
We need to use the Pythagorean Theorem to solve for x. The equation for that is a^2 + b^2 = c^2. Side a is 9. Side b is x. Side c is 18 and 18 is also the hypotenuse. Let's solve for x(side b):
a^2 + b^2 = c^2
9^2 + x^2 = 18^2
81 + x^2 = 324
Subtract 81 from both sides to get x^2 alone on one side.
x^2 = 243
Square root both sides to isolate x.
x = 9sqrt3)
x ≈ 15.59
Here are the shopping times in minutes) of a sample of 19 shoppers at a local grocery store.
45, 22, 34, 30, 28, 27, 33, 35, 40, 26, 41, 29, 42, 44, 25, 46, 32, 38, 36
Draw the histogram for these data.
Frequency
Х
6
?
6-
5-
4
3
0
0
0
0
0
0-
22-26
37-41
42-46
27-31 32-36
Times (in minutes)
Answer:
22-26: frequency = 3
27-31: frequency = 4
32-36: frequency = 5
37-41: frequency = 3
42-46: frequency = 4
The hypotenuse of an isosceles right triangle is 4sqrt(2) units. How many square units are in the area of the triangle?
Answer:
8sqrt(2)
Step-by-step explanation:
An isosceles is a triangle with 2 45 degree angles and one 90 degree angle.
if the hypotenuse side=4sqrt(2) than that means the other 2 sides have to be just 4 units.
the formula for a triangle is than (base×height)÷2
4×4sqrt(2)=16sqrt(2)
(16sqrt(2))/2=8sqrt(2)
Answer:
19.595 units²
Step-by-step explanation:
Find length of other sides:
An isosceles triangle has 2 sides equal. It has two 45 degrees angles and one 90 degrees angle. We can use Pythagorean theorem.
[tex](4\sqrt{2} )^2 =a^2 +a^2[/tex]
[tex]32 =2a^2[/tex]
[tex]16=a^2[/tex]
[tex]4=a[/tex]
The 2 equal sides measure 4 units.
Find area:
base × height × 1/2
The height can be found by Pythagorean theorem.
height² = 4² + 4sqrt(2)²
height² = 16 + 32
height² = 48
height = 6.928
base is given
4sqrt(2) × 6.928 × 1/2
= 19.595343
please help me immediately
Step-by-step explanation:
[tex]diameter \: = \sqrt{ { 24}^{2} + {7}^{2} } = 25 [/tex]
[tex]shaded \: area \: = circle - tringle[/tex]
[tex]shaded \: area = ( \frac{\pi}{4} \times {25}^{2} ) - ( \frac{1}{2} \times 7 \times 24)[/tex]
[tex]shaded \: area \: = (490.6) - (84) = 406.6 \: = 407 \: {cm}^{2} [/tex]
How many houses are on Prince Street?
Answer:
25 houses on prince street
Step-by-step explanation:
add them up and bam
Answer:
25 houses
Step-by-step explanation:
You need to add up all the houses and u will get the ans..
Have a good day !!
Hope this helps..
Pls mark my ans as branliest :)If u mark my ans as brainliest then u are the "bestestest " person in the world :)Translate the following into an algebraic expression: A number is 30% of 20% of the number x.
Answer:
.06x
Step-by-step explanation:
So 20 percent of x has to first be represented. So would do .2x. So then we have to find 30% of that number. So we multiply .2x*.3 and we get 0.06x.
I believe this is correct but tell me if I'm wrong
Answer:
0.06x
Step-by-step explanation:
.2x*.3=0.06x
f(x) = 3x + 21; solve for f(3) and f(7)
Answer:
Step-by-step explanation:
Given that f(x) = 3x + 21
Plug in 3 for x
F(3)= 3(3) +21
F(3) = 9+21
f(3) = 30
Plug in 7 for x
F(7)= 3(7) +21
F(7) = 21+21
f(7) = 42
What is the slope of the line shown on the graph? A)3 B)1/3 C)−3 D)−1/3
Answer:
1/3
Step-by-step explanation:
The slope of the line is found by
m = (y2-y1)/(x2-x1)
we have two point ( 0,0) and ( 3,1)
= ( 1-0)/( 3-0)
= 1/3
Please help and explain!! I really don't get this
kindly help me with this
evaluate the integral
[tex] \gamma \binom{2}{1} \frac{2x}{{x}^{2} + 1} dx[/tex]
Answer: ln5 - ln2 ≈ 0.919
Step-by-step explanation:
[tex]\int\limits^2_1 {\dfrac{2x}{x^2+1}} \, dx\qquad \qquad =\int\limits^2_1 {(x^2+1)^{-1}} \, 2xdx[/tex]
Let u = x² + 1 → du = 2x
[tex]\text{Then we have:}\quad \int\limits^2_1 {u^{-1}} \, du \qquad =ln|u|\bigg|^2_1[/tex]
Substitute u = x² + 1
[tex]ln|x^2+1|\bigg|^2_1\quad =ln|2^2+1|-ln|1^2+1|\quad = ln|5|-ln|2|[/tex]
Tim wants to build a rectangular fence around his yard. He has feet of fencing. If he wants the length to be twice the width, what is the largest possible length? Write an equation and solve.
Answer:
how many feet of fencing does he have?
\
Step-by-step explanation:
plz help me plz if u get it correct i will mark brainlist if i can
(SAT Prep) Find the value of x.
Answer: 40 degrees
Step-by-step explanation:
Since the rectangle is 90 degrees and we know that the line is 180 degrees if u add 90 and 50 it becomes 140. Now u subtract from 180 to get 40 hope that helps and is a correct answer :)
A lion can eat a sheep in 2 hours, a wolf can eat a sheep in 3 hours, and a dog can eat the sheep in 6 hours. How long would it take a lion, a wolf, and a dog all together to eat the poor sheep?
Answer:
1 hour
Step-by-step explanation:
The lion's speed is 1 sheep / 2 hours = ½ sheep/hour.
The wolf's speed is 1 sheep / 3 hours = ⅓ sheep/hour.
The dog's speed is 1 sheep / 6 hours = ⅙ sheep/hour.
Their combined speed is ½ + ⅓ + ⅙ = 1 sheep/hour.
So working together, it will take them 1 hour to eat 1 sheep.
Answer:
1 hour
Step-by-step explanation:
1/2 + 1/3 + 1/6 = 1
The coefficients of the first three terms in the expansion of (x – y) 4 are PLESE HELP! a) 1, –4, –6 b) 1, –4, 6 c) 1, 4, 6 d) 1, 3, 5
Answer:
the answer is C
Step-by-step explanation
I am guessing you mean (x-y)^4 and this expanded is [tex]x^4+4x^3y+6x^2y^2+4xy^3+y^4\\[/tex] and the first three coefficients are 1,4,6
The required first three coefficients of the expression (x - y)⁴ is 1, -4, 6. Option b is correct.
Given that,
To determine the coefficients of the first three terms in the expansion of (x – y)⁴.
The coefficient is defined as the number present former to any variable is called a coefficient.
Here,
[tex]\left(x-y\right)^4=\quad x^4-4x^3y+6x^2y^2-4xy^3+y^4[/tex]
First three coefficients from the above equation,
= 1, -4 and 6
Thus, the required first three coefficients of the expression (x - y)⁴ is 1, -4, 6. Option b is correct.
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Jamila wrote the numbers 1-100 and placed them in a bag. If she selects a number without looking, what is the probability that the number is divisible by 5? Input your answer as a decimal or fraction.
100 total numbers.
20 Numbers divisiblae by 5: 5, 10, 15, 20, 25, 30, 35,40,45,50,55,60,65,70,75,80,85,90,95,100
Probability = 20/100 = 2/10
Answer:
1/5
Step-by-step explanation:
There are total 100 numbers.
Numbers divisible by 5 through 1-100 are:
5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100
There are 20 numbers that are divisible by 5.
20/100 = 1/5
1. What is the value of x? Show all of your work.
Answer:
9 cm
Step-by-step explanation:
Pythagorean's Theorem: a^2+b^2=c^2
x^2+6^2=117 (the square root of 117, squared)
X^2+36=117
x^2=117-36
x^2=81
x=9
Answer:
x = 9 cm
Step-by-step explanation:
Use the Pythagorean Theorem to find the length of the missing side.
a² + b² = c²
a² + (6)² = (√117)²
a² + 36 = 117
a² = 81
a = √81
a = 9
X is equal to 9 cm.
Hope this helps.
Find the critical numbers for f(x)=cos(x)+sin^2(x) on the interval [0,2pi]
Answer:
Step-by-step explanation:
Rad [0,2[tex]\pi[/tex]]
f(x)=cos(x)+sin²(x)=cos(x)+1-cos²(x)
--[cos(x)-1/2]²+5/4=f(x)
when cos(x)=1/2,the f(x) has Max=5/4
cos(x)=1/2,x=[tex]\pi[/tex]/3(Rad) or 60°(Deg)
Please I need help!
Write the equation of the line that passes through the points (7, -4) and ( 1, 3), first in point-slope form, and then in
slope intercept form
The slope of the line is
When the point (7, -4) is used, the point-stope form of the line is
The slope intercept form of the line is
Answer:
1)
[tex]\text{ Slope = -3}[/tex]
2)
[tex]y+4=-\frac{7}{8}(x-7)[/tex]
3)
[tex]y=-\frac{7}{8}x+\frac{17}{8}[/tex]
Step-by-step explanation:
We want to write the equation of the line that passes through the points (7, -4) and (-1, 3) first in point-slope form and then in slope-intercept form.
1)
First and foremost, we will need to find the slope of the line. So, we can use the slope-formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (7, -4) be (x₁, y₁) and let (-1, 3) be (x₂, y₂). Substitute them into our slope formula. This yields:
[tex]m=\frac{3-(-4)}{-1-7}[/tex]
Subtract. So, our slope is:
[tex]m=\frac{7}{-8}=-7/8[/tex]
2)
Now, let's use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
We will substitute -7/8 for our slope m. We will also use the point (7, -4) and this will be our (x₁, y₁). So, substituting these values yield:
[tex]y-(-4)=-\frac{7}{8}(x-7)[/tex]
Simplify. So, our point-slope equation is:
[tex]y+4=-\frac{7}{8}(x-7)[/tex]
3)
Finally, we want to convert this into slope-intercept form. So, let's solve for our y.
On the right, distribute:
[tex]y+4=-\frac{7}{8}x+\frac{49}{8}[/tex]
Subtract 4 from both sides. Note that we can write 4 using a common denominator of 8, so 4 is 32/8. This yields:
[tex]y=-\frac{7}{8}x+\frac{49}{8}-\frac{32}{8}[/tex]
Subtract. So, our slope-intercept equation is:
[tex]y=-\frac{7}{8}x+\frac{17}{8}[/tex]
And we're done!
Answer: Shown Below
Step-by-step explanation:
1. -7/8
2. y+4= (-7/8)(x-7)
3. y=(-7/8)x+ (17/8)
Just did it
How can you decompose the composite figure to determine its area?
Answer:Área y perímetro de figuras compuestas
por Luz | Dic 5, 2014 | Geometría, Matematicas | 39 Comentarios
Obtener el área o perímetro es de las habilidades más fáciles y básicas en geometría. Sin embargo, al momento de combinar varias figuras planas se forma figuras compuestas, que pueden incluir: cuadrados, círculos, triángulos, rectángulos, trapecio, etc.
Answer: D
Step-by-step explanation:
There’s a trapezoid a rectangle and two squares at the bottom
The function ƒ(x) = 6x is vertically shrunk by a factor of ½ and translated 9 units in the negative y- direction. Select the correct graph of the resulting function. Question 9 options: A) image B) image C) image D) image
Answer:
A
Step-by-step explanation:
Find the exact value of the following. The distance traveled by a car going 65 miles per hour for 3.5 hours is ____ miles.
Answer:
227.5
Step-by-step explanation:
D=ST so X= 65 x 3.5 = 227.5 miles
D=Distance = x
S=Speed = 65
T=Time = 3.5
lands on a field. The height of the ball, in meters, is modeled by the function shown in the graph. What's the average rate of change of the height of the ball from the point when John throws it to its maximum height? Question 10 options: A) 2 meters per second B) –1∕2 meters per second C) –2 meters per second D) 1∕2 meters per second
Answer:
A) 2 m/s
Step-by-step explanation:
The ball increases from its thrown height of 3 meters to its maximum height of 7 meters in 2 seconds. That's an average rate of increase of ...
(4 m)/(2 s) = 2 m/s
The average rate of change of height is 2 meters per second.
Answer: 2m/sec
Step-by-step explanation: From the graph we see that the ball went from 3 meters to 7 meters, a difference of 4m. It took 2 seconds to reach that height.
The average is found by dividing 4m/2sec
The result is 4m/sec
is the square root of 34 rational or irrational
Answer:
irrational
Step-by-step explanation:
If a square root is not a perfect square, then it is considered an irrational number.
The square root of the number 34 is not a rational number
How to determine the type of the numberFrom the question, we have the following parameters that can be used in our computation:
The square root of the number 34
When evaluated, we have
The square root of the number 34 = √34
So, we have
The square root of the number 34 = 5.83.....
The above number cannot be represented by the quotient of 2 integers
Using the above as a guide, we have the following:
We can conclude that the number is an irrational number
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