Which of the binomials below is a factor of this trinomial?
x² - 4x - 12

Answer:

10(3)^x

Step-by-step explanation:

The function contains the points (2,90) and (4,810). Use the general form y=abx to write two equations:

90=ab^2 and 810=ab^4

Solve each equation for a:

a=90/b^2 and a=810/b^4

Since a=a, set the other sides of the equations equal and solve for b.

90/b2=810/b4

Cross multiply, then divide and simplify as follows:

90b^4=810b^2

b^4/b^2=810/90

b^2=90

b^3

Now, use the value of b and the point (2,90) to find the value of a.

90=a(3^2)

a=10

So, substitute answers in original equation for a final answer of f(x)=10(3)^x.

Answer:

Table 1

Step-by-step explanation:

Constant of proportionality is simply the ratio of y to x. In each of the given tables, the second column is y and the first is x.

Table 1:

4       32/5

10      16

11       88/5

Let's find the constant of proportionality for each row:

R1: (32/5) / 4 = 8/5

R2: 16/10 = 8/5

R3: (88/5) / 11 = 8/5

Thus, since this matches the requirements and all three rows have the same constant, Table 1 is the answer.

If you check the other two tables in the same way, you'll see that neither has a constant of proportionality of 8/5.

Hope this helps!

Answer:

Table 1

Step-by-step explanation:

y = (8/5)x

32/5 = 8/5 × 4

32/5 = 32/5

16 = 32/5 × 10

16 = 16

88/5 = 8/5 × 11

88/5 = 88/5

Answer:

Therefore the constant of proportional is r=7.

Step-by-step explanation:

The quantities x and y are proportional.

      x                y

i)     2              14

ii)    6               42

iii)   11               77

Since x and y are proportional.

y= rx

(i)

Now plug y= 14 and x=2

14=r.2

[tex]\Rightarrow r=\frac{14}{2}[/tex]

[tex]\Rightarrow r=7[/tex]

(ii)

Now plug y= 42 and x=6

42=r.6

[tex]\Rightarrow r=\frac{42}{6}[/tex]

[tex]\Rightarrow r=7[/tex]

(iii)

Now plug y=11 and x=77

77=r.11

[tex]\Rightarrow r=\frac{77}{11}[/tex]

[tex]\Rightarrow r=7[/tex]    

Therefore the constant of proportional is r=7.

Answer:

square inches

Step-by-step explanation:

like u can do

square yards

square miles

but it has to have a "square"

so it is square inches

Answer:

square inches

Step-by-step explanation:

Did quiz

Answer:

A.) ∆KHM ≅ ∆KJM

Step-by-step explanation:

In triangle KHJ, KM is the bisector of base HJ..(given)

[tex] \therefore \: HM \cong \: JM...(1) \\ In\: \triangle KHM \:\& \: \triangle KJM\\

KH\cong KJ... (given) \\

KM \cong KM.. (common\: side) \\

HM \cong JM... [From\: equation \: (1)]\\

\therefore \triangle KHM \cong\triangle KJM\\.. (By\:SSS\: Postulate) \\ [/tex]

Answer:

KHM = KJM or A.)

Step-by-step explanation:

YURTTTTT

Answer:

1/5

Step-by-step explanation:

2/10 simplified = 1/5

Answer:

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

12(3x - 2) = 32(x + 1) ← distribute both sides

36x - 24 = 32x + 32 ( subtract 32x from both sides )

4x - 24 = 32 ( add 24 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

The value of x given that JKL ~ MKN is; x= 14.

According to the question;

Based on ratios; We can conclude that;

[tex] \frac{12}{x + 1} = \frac{32}{3x - 2} [/tex]

By cross product, we have;

x = 14.

Ultimately, the value of x given that JKL ~ MKN is; 14.

Read more on congruent triangles:

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Answer:

What is the radius of the cone?

5ft

What is the area of the base of the cone?

25ft

What is the volume of the cone?

75ft

Step-by-step explanation:

1) Radius of the cone = 5ft

2) Area of the base of the cone =  78.5 square feet

3) Volume of the cone = 235.5 cubic feet

A cone is a distinctive three-dimensional geometric figure that has a flat surface and a curved surface, pointed towards the top. The pointed end of the cone is called the vertex, whereas the flat surface is called the base.

According to the given problem,

Diameter of the cone = 10 feet

Radius of the cone = [tex]\frac{diameter}{2}[/tex]

                                = 5 feet

Area of the base of the cone = [tex]\pi[/tex]r²

                                                 = [tex]\pi[/tex] × (5)²

                                                 = 78.5 square feet

Volume of the cube = [tex]\pi[/tex]r²[tex](\frac{height}{3})[/tex]

                                  = 235.5 cubic feet

Hence, we can conclude that the cone shown in figure has a radius of 5 feet , base area of 78.5 feet and a volume of 235.5 cubic feet.

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Answer:

a₄ = - 37

Step-by-step explanation:

To find the 4 th term using the recursive formula and a₁ = - 2

a₂ = 2a₁ - 3 = 2(- 2) - 3 = - 4 - 3 = - 7

a₃ = 2a₂ - 3 = 2(- 7) - 3 = - 14 - 3 = - 17

a₄ = 2a₃ - 3 = 2(- 17) - 3 = - 34 - 3 = - 37

Answer:

41°

Step-by-step explanation:

∡ABC = (DE+AC)/2 = 39°

AC = 39*2-DE = 78° - 37° = 41°

Answer:

Radical Form is 1/√9

Step-by-step explanation:

Also, the decimal version is 0.3 repeating

Answer:

[tex]\sqrt[2]{9}[/tex]

Step-by-step explanation:

To find radical form with fractions , put the whole number (i.e 9) inside the square root, the denomination in the top of the square root (i.e 2) and the numerator is the power of the number inside the square root (in this case it is one so you would not put it there.)

Answer:1

Step-by-step explanation: yea

Answer:

[tex]\frac{1}{4x^2\left(x+1\right)}[/tex]

Step-by-step explanation:

[tex]\frac{2x-16}{8x^3+56x^2}\cdot \frac{x+7}{x^2-7x-8}[/tex]

You first factor things out.

[tex]\frac{x-8}{4x^2\left(x+7\right)}\cdot \frac{x+7}{x^2-7x-8}[/tex]

You then multiply. (Cancel common factor, X+7)

[tex]\frac{x-8}{4x^2\left(x^2-7x-8\right)}[/tex]

You factor again.

[tex]\frac{x-8}{4x^2\left(x+1\right)\left(x-8\right)}[/tex]

Then cancel out common fact x-8.

So therefore, you get the final answer,

[tex]\frac{1}{4x^2\left(x+1\right)}[/tex]

Answer: $41.64

Step-by-step explanation: $17.37/5=3.47, so 3.47 x 12 = $41.64

Answer:

y = 3x+2

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

   = (23-20)/(7-6)

    =3/1

We know the slope is 3

Using the slope intercept form of a line

y= mx+b where is the slope and b is the y intercept

y = 3x+b

Using a point (1,5)

5 = 3(1)+b

Subtract 3 from each side

5-3= 3-3+b

2 = b

y = 3x+2

Answer:

B) y = 3x + 2

Step-by-step explanation:

Slope: (8 - 5)/(2 - 1)

= 3/1 = 3

y = 3x + c

5 = 3(1) + c

c = 5 - 3

c = 2

y = 3x + 2

Answer:

Period is 4, Amplitude is 3.5

Step-by-step explanation:

The Period is how far in the x direction for a function to repeat. This function repeats at (1,5), (5,5), etc. 5-1 = 4 difference between points which is the period.

The Amplitude is defined as the vertical distance from the center. The maximum vertical distance is 5 and the minimum is -2. 5-(-2) = 7. 7/2 = 3.5. 3.5 is the average which is the amp.

The solution is :Period is 4, Amplitude is 3.5, of the function.

The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.

The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.

here, we have,

The Period is how far in the x direction for a function to repeat.

This function repeats at (1,5), (5,5), etc.

5-1 = 4 difference between points which is the period.

we have,

The Amplitude is defined as the vertical distance from the center.

The maximum vertical distance is 5 and the minimum is -2.

5-(-2) = 7.

7/2 = 3.5.

3.5 is the average which is the amp.

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Answer: B) 10cm Just count the squares but 2 halves = 1 full

Answer:

the person above me is correct!

the answer is 288:)

Step-by-step explanation:

The volume of the sphere in terms of π is,

⇒ 288π inch³

Multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Radius of sphere = 6 inch

Now, We know that;

Volume of sphere = 4/3πr³

Hence, We can formulate;

⇒ V = 4/3 × π × 6³

⇒ V = 288π inch³

Thus, The volume of the sphere in terms of π is,

⇒ 288π inch³

Learn more about the multiplication visit:

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Complete question is shown in attached image.

Answer:

1. D

2.B

3.A

4.C

Step-by-step explanation:

You find where the line meets right on the “corner of the boxes” then count to the side then down or up to find the slope

Answer:

Hi There the correct answer to this is C) 132 cm2

Step-by-step explanation:

All you really need to do is 1 base = 8 × 6 = 48

2 sides = 2(5 × 6) = 60

2 triangles = 2(8 × 32) = 24

SA = 48 + 60 + 24 = 132 cm2

So Hope That Helps!

Answer:

132 cm^2

Step-by-step explanation:

Answer:

i think its 1/4 up 5 times

Step-by-step explanation:

Answer:

x<24

Step-by-step explanation:

3(x-2)<2(x+9)

Distribute

3x - 6 < 2x+18

Subtract 2x from each side

3x-2x -6 < 2x-2x+18

x - 6 < 18

Add 6 to each side

x-6+6 <18+6

x<24

Final answer:

The value of cos(150°) is -0.866.

Explanation:

The value of cos(150°) can be determined using the unit circle or trigonometric ratios. Since 150° is in the second quadrant, the cosine value is negative. In the second quadrant, the reference angle is 180° - 150° = 30°. The reference angle corresponds to the angle on the unit circle with the same cosine value.

In the first quadrant, the cosine value is positive. The cosine of 30° is 0.866 (approximately). Since the angle is in the second quadrant, the cosine value will be the same but negative. Therefore, the value of cos(150°) is -0.866.

Answer:

≈ 1347 mi²

Step-by-step explanation:

The shaded area is the difference between the outer area and the inner area

shaded area = outer - inner

                     = πr₁² - πr₂²

where r₁ = 14 + 11 = 25 and r₂ = 14, thus

A = π × 25² - π × 14² = 625π - 196π = 429π = 429 × 3.14 ≈ 1347 mi²

Answer:

Step-by-step explanation:

Area of the shaded region = Area of the Outer circle - Area of the inner circle

Outer circle:

r = 14+11 = 25 mi

Area = πr² = π*25²

Inner Circle:

r = 14 mi

Area = πr² = π*14²

Area of shaded region = π*25² - π*14²= π(25² - 14²)

= 3.14*(625 - 196)

=3.14*429

= 1347.06 mi²

Answer: D

Hope this helps!

sorry about the first answer

Answer:

f(3)=63

Step-by-step explanation:

We want to find out what y is, when x is equal to 3.

f(x)=19x+6

To solve for f(3) substitute 3 in for x.

f(3)=19(3)+6

Multiply

f(3)=57+6

Add

f(3)=63

Answer:

The number of buyers on the first day was approximately 324.

Step-by-step explanation:

In this case we have a initial number of shoppers "C" that we want to know and this grows at a steady rate of 20% per day, like a compound interest, we also know the total number of shoppers after 4 days, so we have the final amount of shoppers. We can use the formula for compound interest in order to calculate the number of shoppers in the first day as shown bellow:

M = C*(1 +i)^(t)

Where M is the total amount of shoppers, i is the growth rate and t is the time elapsed.

671 = C*(1 + 0.2)^(4)

671 = C*(1.2)^4

671 = C*2.0736

C = 671/2.0736 = 323.5918

Since there can't be a 0.59 buyer, we will round the number to 324.

Answer:

125 shoppers

Step-by-step explanation:

answer for kahn

Answer:

Two solutions were found :

w = 1

w = -4

Step-by-step explanation:

w =(-3+√25)/2=(-3+5)/2= 1.000

or:

w =(-3-√25)/2=(-3-5)/2= -4.000

Answer: w^4+3w^3+11w^2+6w+18

Step-by-step explanation:

answer:

c =

[tex]2\pi r[/tex]

or

[tex]\pi \: d[/tex]

Answer:

To find the radius with just the circumference is with this formula:

R = C ÷ (2 × π)

Or  just divide the circumference by 2 times pi.

Here's an example:

The circumference is 26

R = C ÷ (2 × π)

R = 26 ÷ (2 × 3.14)

R = 26 ÷ 6.28

R = 4.140127388535032‬ or 4.1

Hope this helped

Answer:£1 = 100 pence

Step-by-step explanation:

£1 = 100 pence because you divide the pence by 100 to get the amount of pounds you have.

Answer:

- 2

Step-by-step explanation:

The average rate of change of h(x) in the closed interval [a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [a, b ] = [1, 8 ], thus

f(b) = f(8) = - 8² + 7(8) + 14 = - 64 + 56 + 14 = 6

f(a) = f(1) = - 1² + 7(1) + 14 = - 1 + 7 + 14 = 20

average rate of change = [tex]\frac{6-20}{8-1}[/tex] = [tex]\frac{-14}{7}[/tex] = - 2