Answer: [tex]G(F(x)) = x^3-21x^2+147x-343\\\\[/tex]
===================================================
Work Shown:
[tex]G(x) = x^3\\\\G(F(x)) = \left(F(x)\right)^3\\\\G(F(x)) = \left(x-7\right)^3\\\\G(F(x)) = \left(x-7\right)\left(x-7\right)^2\\\\G(F(x)) = \left(x-7\right)\left(x^2-14x+49\right)\\\\G(F(x)) = x\left(x^2-14x+49\right)-7\left(x^2-14x+49\right)\\\\G(F(x)) = x^3-14x^2+49x-7x^2+98x-343\\\\G(F(x)) = x^3-21x^2+147x-343\\\\[/tex]
1) State the area of the given trapezoid.
5m
5m
8m
4m
A) 20 square meters
B) 26 square meters
C) 32 square meters
D) 40 square meters
Answer:
B
Step-by-step explanation:
5m+5m8m+4m=24m2 of the primeter
What is the measure of angle xyz
Answer:
Step-by-step explanation:
LET:
∠XYW=Y
X,Y and W are the angles of triangle so:
X + Y + W=180
3x+11+Y+5x+1=180
Y=180-12-8x
Y=168-8x
Now ∠XYW and ∠XYZ are the angles of a straight line:
∠XYW+∠XYZ=180
168-8x+12x-20=180
4x+148=180
4x=180-148
4x=32
x=32/4
x=8
Now substitute value of x in Y:
∠(12x-20)=12(8)-20
∠Y=76
What is a derivative.
Kendra saw a calculator on sale for $68.25. The original price of the calculator was $89.99.
What is the approximate discount on the calculator?
20%
25%
30%
35%
The approximate percentage discount is equal to 25%.
Given the following data:
Sales price = $68.25.Original price = 89.99To calculate the approximate discount on the calculator:
First of all, we would determine the discount on the calculator by using the following mathematical expression:
[tex]Discount = Original\;price -Sales\;price[/tex]
[tex]Discount = 89.99 -68.25[/tex]
Discount = $21.74
Now, we can calculate the approximate percentage discount:
[tex]Percent\;discount = \frac{21.74}{89.99} \times 100\\\\Percent\;discount = \frac{2174}{89.99}\\\\Percent\;discount = 24.16[/tex]
Percent discount = 25%
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If x=5 and y=3 find the value of x+2y
Answer:
x=5
y=3
then ,
x+2y= 5+2 *3
= 5+6
= 10
help me!!! Luis wants to buy a skateboard that usually sells for $79.19. All merchandise is discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state sales tax of 7.25%. Round your intermediate calculations and answer to the nearest cent.Luis wants to buy a skateboard that usually sells for $79.19. All merchandise is discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state sales tax of 7.25%. Round your intermediate calculations and answer to the nearest cent.
Calculate the average rate of change of the function f(x) = mx + b over the interval 2 ≤ x ≤ 13.
A) 1
B)
11
C) m
D) b
Answer:
m
Step-by-step explanation:
The slope of a line is constant. This means no matter the two points on the line that you use to calculate the slope you will get the same number for the slope. Your equation is in slope-intercept form, y=mx+b where m is slope and b is y-intercept. So your equation is in that exact form with the same use of constant numbers m and b where m is slope and b is y-intercept.
So the answer is m.
However, we could use slope formula = change in y divided by change in x.
Change in y from x=2 to x=13 is [(m(13)+b)-m(2)+b)]=13m+b-2m-b=13m-2m+b-b=11m+0=11m.
Change in x is 13-2=11.
So the slope is 11m/11=m.
Α. y- 2 = 2(x- 3)
Β. y- 3 = 2(x- 2)
C. y- 1 = 2(x- 9)
D. y- 9 = 2(x-1)
Answer:
c.
Step-by-step explanation:
The ratios of boys to girls in a class is 6:9. If there are 39 girls in the class, how many boys would be in the class?
Answer:
6.5
Step-by-step explanation:
6 to 9 so 39 divided by 6 and you get 6.5
Answer:
6:9 in-simplified is 23:39
Step-by-step explanation:
So 6:9 written in lowest terms is 23:39, this is known as reducing fractions.
If there is 1/4 ounces of yeast in every 2 and 1/4 teaspoons and you need 2 teaspoons how many ounces of yeast is needed
Answer:
It's probably 1/4
Step-by-step explanation:
wuts x uwu plssss 10 points
−2/9x+2.7=4
Answer:
x = -5.85
Step-by-step explanation:
Solve the equation
1) [tex]-\frac{2}{9} x + 2.7 = 4[/tex]
Subtract -2.7 on both sides by doing the inverse operation.
2) [tex]-\frac{2}{9}x = 1.3\\[/tex]
Multiply both sides by -9/2 to cancel out -2/9x, so that you can isolate "x" by itself.
3)[tex]x = -5.85[/tex]
Home Schoology
d. 42
3. The museum has 35 molecule models. They need
to be packaged 4 to a box. After 8 boxes are
filled, how many models will be left?
a. 3
b. 2
c. 1
d. 0
Which one is the answer
Step-by-step explanation:
there are 35 in total.
4 go into one box.
so, how many in 8 boxes ?
well, 4×8 = 32
what is the difference between 32 and 35 ?
35 - 32 = 3
so, 3 models are still left.
m = – 3; (2, 2) help pls
Answer:
try maltpling 3 *2*2
Step-by-step explanation:
Find the perimeter of the rectangle
Answer:
Perimeter: 4x+14
Step-by-step explanation:
The Formula for perimeter is P = 2L + 2W
So apply it:
L = x+7
W = x
[tex]P=2x+2\left(x+7\right)[/tex]
[tex]P=4x+14[/tex]
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.The measure of angle ABC is °.The measure of angle BAC is °.The measure of angle ACB is °.
Answer:
Angle B is the linear pairs with 60°, so the size is 180-60=120°
Angle ABC is the linear pair with 120°, so the size is 180-120-60°
Angle A corresponds to angle 60°, so they are equal
Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°
Angle ACB is 180-(50+60) = 70°
Step-by-step explanation:
The solution is:
The measure of angle ABC is 60°.
The measure of angle BAC is 50°.
The measure of angle ACB is 70°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Angle B is the linear pairs with 60°,
so the size is 180-60=120°
Angle ABC is the linear pair with 120°,
so the size is 180-120 =60°
Angle A corresponds to angle 60°,
so they are equal
Angle BAC is the linear pair with angle A and angle 70°,
so 180-(60+70) =50°
and, we have,
Angle ACB is 180-(50+60) = 70°
Hence, The solution is:
The measure of angle ABC is 60°.
The measure of angle BAC is 50°.
The measure of angle ACB is 70°.
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Which expression has a positive product? 0 4.(-2).0.(-3) 2.(-5). ( 4)( 1) 6. (2).8.(3) 5- (6)-( 3). (3)
Answer:
(4)(1)6
Step-by-step explanation: It only has all positives and the rest all have one negative so that affects the whole problem and turns them negative.
Can someone pls help me
Solve for x
Please show ur work
Answer:
9=x
Step-by-step explanation:
80º=(8x+8)º
80=8x+8
Subtract 8 from both sides of the equation.
72=8x
Divide 8 from both sides of the equation.
9=x
Hope this helps :)
Tom buys 120 eggs. (s. 25% of them are cracked how may cogs are craket many eggs
Answer:
30 eggs.
Step-by-step explanation:
Cracked eggs: 120 x 25/100
=> 120 x 1/4
=> 30 eggs.
Therefore, 30 eggs are cracked.
Hoped this helped.
The age structure of a population is often represented by a pyramid. What does an age structure pyramid with a broad base and a narrow top indicate about a population
Answer:
The shape of the pyramid does not provide information on population growth
Hi can u help me with my hw
Answer:
c) difficult
Step-by-step explanation:
1) w = 14/3
Steps:
1) Multiply the numbers
5w - 8/3 = 4w + 2
2) Add 8/3 to both sides of the equation
5w - 8/3 + 8/3 = 4w + 2 + 8/3
3) Simplify
A. Add the numbers
5w = 4w + 2 + 8/3
B. Add the numbers
5w = 4w + 14/3
4) Subtract 4w from both sides of the equation
5w - 4w = 4w +14/3 - 4w
5) Simplify
A. Combine like terms
1w = 4w + 14/3 - 4w
B. Multiply by 1
w = 4w + 14/3 - 4w
C. Combine like terms
w = 14/3
2) ( x - 7 ) ( x + 7 )
Steps:
1) Use the sum-product pattern
x² + 7x - 7x - 49
2) Common factor from the two pairs
x (x + 7) = 7 (x + 7)
3) Rewrite in factored form
(x-7) (x+7)
3) [tex]3x^{4} y^{\frac{3}{2} }[/tex]
Steps:
[tex]9^{\frac{1}{2} }( x^{8} )^{\frac{1}{2} (y^{3} )\frac{1}{2}[/tex]
The density of silver is 9 g/ cm3ale members of a sports club is 7 : 3. The total number of members of the group is 250. How many members are female? How many members are male?
Answer:
648
Step-by-step explanation:
2=2
What is the answer to 3) 1 + 4x = −5 + 7x
Answer:
x = 2
Step-by-step explanation:
solve pls brainliest
Answer:
C.
Step-by-step explanation:
It multiplies by 2
Hope I could help!
Which of the following is the additive inverse of 4/31 ?
A. 4/31
B. - 4/31
C. 31/4
D. - 31/4
( Thanks In Advance )
Answer:
c 31b4
Step-by-step explanation:
BRAINLIEST
Please help only three questions
Answer:
5. x=21.9 units
6. x=14 units
7. x=31.7 units
Step-by-step explanation:
5. Assuming that the line through the middle of the triangle in 5, we can split the 18 units side into 9 and 9. Using pythagorean theorem (a^2+b^2+c^2), we can find that x is equal to [tex]\sqrt{81+400}[/tex] making x [tex]\sqrt{481}[/tex]. Rounding to the nearest tenth, we get x is about 21.9 units
6. By doing pyth. th. on one of the triangles, we get sqrt(361-289) which is sqrt(72), which is about 8.5 units. Subtracting 8.5*2 from 31, we get 14 for x
7. by doing pyth th on the smaller triangle, we get sqrt 228 and now we can do pyth th again with 28 (44-16) and sqrt228, which turns out to be sqrt (784+228) which is sqrt (1002), which when rounded the nearest tenth is 31.7
Good Luck!
Answer:
Step-by-step explanation:
5.
So 18 is cut in half and forms 2 simmetrical right-triangles, yes? Yes.
So, if 20 is one of the collared, 9 will be the other collared and x will be the hypotenusa right? right.
x² = 20² + 9²
x² = 400 + 81
x² = 481
x = [tex]\sqrt{481}[/tex]
x =~ 21.93
x = 21.9
6.
Here we can se a square and 2 simmetrical triangles and if the hypo of one of them is 19 the other will also be etc. So for the small triangles:
y² = 19² - 17²
y² = 361 - 289
y² = 72
y = [tex]\sqrt{72}[/tex]
y =~ 8.48
x = 31 - (2 * 8.48)
x = 31 - 16,96
x = ~14,04
x = 14.0
The volume of a rectangular prism is 550 cubic meters.
The length of the rectangular prism is 8 meters,
the width is x - 2, and the height is x + 5.
Find the value of x, and the dimensions of the rectangular prism.
Enter your answer as an integer or decimal.
V = lwh
X=
Width=
Meters
Height=
The value of x and the dimensions of the rectangular prism are as follows;
x = 7.5 m
length = 8 m
width = 5.5m
height = 12.5 m
volume of a rectangular prism = lwh
volume = 550 m³
l = 8
w = x - 2
h = x + 5
Therefore,
v = lwh
550 = (x + 5)(x - 2)8
550 = (x² - 2x + 5x - 10)8
550 = (x² + 3x - 10)8
550 = 8x² + 24x - 80
8x² + 24x - 80 - 550 = 0
8x² + 24x - 630 = 0
4x² + 12x - 315 = 0
using quadratic formula,
where
a = 4
b = 12
c = -315
-b ± √b² - 4ac / 2a
Therefore,
x = -10.5 or 7.5
x cannot be negative .
so, x = 7.5
x = 7.5 m
length = 8 m
width = 7.5 - 2 = 5.5 m
height = 7.5 + 5 = 12.5 m
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Please help I don’t understand this
Answer:
The area is 24
Step-by-step explanation:
Divide the quadrilateral into 4 triangles (two identical at the top and two identical at the bottom).
Then find the area of each triangle and add it all together
Area of Triangle= (base x height)/2
(3 x 3)/2 + (3 x 3)/2 + (5 x 3)/2 + (5 x 3)/2
this equation gives us 24 as the area
the quotient of a number and 12 - 3 is -4
Answer:
-36
Step-by-step explanation:
12 - 3 = 9, so if the quotient of a number (let's call it x) and 9 is -4, we can create the following equation:
x ÷ 9 = -4
So, if we multiply both sides by 9, we get:
x = 9 * -4 which is -36.
Tyrone has already typed 100 words for an essay and can type 35 words per minute. Vanessa has already typed 120 words and can type 30 words per minute. In how many minutes will Tyrone and Vanessa have typed the same number of words?
Answer:
cant help you, but thanks for the points
Translate sum of 4 and the quotient of n and 9
Step-by-step explanation:
The quotient of n and 9:
n / 9Sum of 4 and the quotient:
4 + (n/9)