Need work to be shown as well

You can write such a cubic polynomial in terms of its roots using the factor theorem:

(x - (-1)) (x - 3) (x - (-5)) = (x + 1) (x - 3) (x + 5)

Now just expand this:

(x + 1) (x - 3) (x + 5) = x ³ + (1 - 3 + 5) x ² + (-3 + 5 - 15) x - 15

… = x ³ + 3x ² - 13x - 15

Answer:

x = 7

Step-by-step explanation:

in Josh solution, the steps are correct till

(x-3)² = 16. After this

√(x-3)² = √16

x-3 = 4

x = 4+3 = 7

No, Josh is incorrect the roots of the quadratic equation are 19 & -13.

An equation is quadratic in form if it can be written in the form of ax + bx + c = 0, where a, b, and c are constants and x is the variable.

Given that,

The quadratic equation,

x²  - 6x - 7  = 0

we can calculate the roots of the equation by using the formula:

x   = -b + √(b² - 4ac) / 2a

In the given equation,

a = 1

b = -6

c = -7

x  = -(-6)  + √((-6)² - 4x1x(-7)) / 2

  =    (6 + 8)/ 2

x =   7,  -1

Hence, Josh's solution is not correct.

To know more about quadratic equation check:

https://brainly.com/question/30098550

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Answer:

[tex]4\frac{1}{4}[/tex] hours : 45 minutes

[tex]4\frac{1}{4}[/tex] hours : [tex]\frac{3}{4}[/tex] hours

255 minutes : 45 minutes

Answer:

49 1/4

Step-by-step explanation:

4 1

4

+ 45

=  (4 + 45) + (  

1

4

+ 0 )

=  49 +  

1

4

+ 0 × 4

=  49 +  

1

4

+  

0

4

=  49 +  

1 + 0

4

=  49 +  

1

4

=  

49 1

4

Answer:

<2 and <8

Step-by-step explanation:

Answer:

f(x) = 120+15x

Step-by-step explanation:

the constant is 120 because that is the money that he already has and is an unchanged quantity. for every week he gains $15. that means that he gains 15x after x weeks.

Answer:

54

Step-by-step explanation:

Answer:

Step-by-step explanation:

As,

[tex] {64}^{ \frac{2}{3} } = {(\sqrt[3]{64})}^{2} = \sqrt[3]{ {64}^{2} } [/tex]

Answer:

2 1/2 x 3 1/2 x 7 =  61 1/4

Answer:

B'''(6, -15), C'''(-3, -12)

Step-by-step explanation:

For point B,

[tex]B(1,\,2) \to B'(1,\,-2) \to B''(2,\,-5) \to B'''(6,\,-15)[/tex]

For point C,

[tex]C(-2,\,1) \to C'(-2,\,-1) \to C''(-1,\,-4) \to C'''(-3,\,-12)[/tex]

Reflecting a point across the x-axis:  leave the x-coordinate the same; replace the y-coordinate with its opposite.

<1, -3>  These are translations: add 1 to x, subtract 3 from y.

Dilate k=3:  multiply both x and y by 3.

Answer:

Step-by-step explanation:

Remark

I nearly found the length of a chord PQ. Be careful you don't make the same mistake. It is an arc which is part of the circumference.

Equation

Length of arc PQ = angle/360  * 2* pi * r

Givens

Angle = 110

r = 4 in

Solution

Length of arc PQ = 110/360  * 2 * 3.14 * 4

Length of arc PQ = 0.305555 * 6.28 * 4

Length of arc PQ = 7.67555

Length of arc PQ = 7.68

Answer:

729

Step-by-step explanation:

[tex]\frac{1}{2}log_{2}x=3log_{2}3 \\[/tex]

[tex]log_{2}\sqrt{x} =log_{2}3^{3}[/tex]

[tex]\sqrt{x} =27 \\[/tex]

x=27²=729

Answer:

3

Step-by-step explanation:

Answer:

dont know im sorry

Step-by-step explanation:

Answer:

[tex]12.3[/tex]

Step-by-step explanation:

[tex]\bar{x}=\frac{6+17+15+11+10+9+18}{7}=12.3[/tex]

Answer:

Step-by-step explanation:

Moving a coordinate left will subtract from the x coordinate (left 3 means subtract 3 from x coordinate)

Moving a coordinate right will add to the x coordinate (right 3 means add 3 to x coordinate)

Moving a coordinate down will subtract from the y coordinate (down 3 means subtract 3 from y coordinate)

Moving a coordinate up will add to the y coordinate (up 3 means add 3 to y coordinate)

Reflect means flip the sign of the corresponding coordinate

reflect over x axis flip the sign of x coordinate

reflect over y axis flip the sign of y coordinate

Answer:

It is important because it allows you to calculate the surface area of a trapezoidal prism

Step-by-step explanation:

Answer:

I think 1

Step-by-step explanation:

Maybe not 100% $ure

Answer:3

because yeah that the answear and stuff

Answer: 5982

Step-by-step explanation:

The area of the rectangle is L*w so 100*50= 5000

the area of the semi-circle on top is

[tex]\frac{1}{2} \pi r^{2} \\\frac{1}{2} \pi 2^{2} \\\frac{1}{2} \pi 625\\\frac{1}{2} (1963.50)\\= 981.75[/tex]

Total area is 5000+981.75= 5981.75

round up to 5982

Answer:

The value of x is 15.

Step-by-step explanation:

Since the base is 40 inches long, and the two triangles are congruent - both are right triangles and have sides x and their bases equal - you know that each base of a triangle is 20 inches long. Using the Pythagorean Theorem, you can get that [tex]x^2+20^2=25^2[/tex]. Solve for x by isolating the variable on one side: [tex]x^{2} =25^{2} - 20^{2}[/tex] ⇒ [tex]x^{2} = 625 - 400[/tex] ⇒ [tex]x^{2} = 225[/tex] ⇒ [tex]x^{2} =225[/tex] ⇒ [tex]x=\sqrt{225}[/tex] ⇒ [tex]x=15[/tex] inches.

Answer:

G. 10.5 pounds

Step-by-step explanation:

96 oz + 72 oz = 168 oz

There are 16 oz in one pound

168 oz / 16 oz = 10.5 pounds.

Please be sure to mark this as brainliest if it helpd you!

Answer:

Step-by-step explanation:

Total ounces = 96 + 72 = 168 ounces

1 ounce =

0.0625 pound

168 ounces = 10.5 pound

Option G is the correct answer

Answer:

28

Step-by-step explanation:

22÷1.50=14.6

=14

14×2=28

Answer:

Step-by-step explanation:

I have no clue I just need 5 pionts

Answer:

Footsteps is the answer.

Hope it helps!!!

Answer:

If I was you I can go

for A because the function name is one to many

Answer:

130.5ft²

Step-by-step explanation:

Hello There!

The figure shown is a composite figure ( so we can't find the area of it using one formula )

That being said we want to break the irregular figure into regular figures in which the area can simply be found using a formula

The figure would be broken in to the following shapes

A rectangle with a width of 4 ft and a length of 9 ft

A rectangle with a width of 8 ft and a length of 9 ft

A triangle with a height of 5 ft and a base of 9 ft

Now that we have broken the irregular figure into regular shapes we want to find the area of each individual shape

For the smaller rectangle:

The area of a rectangle can simply be calculated by multiplying the width and length

So A = 9 * 4

9 * 4 = 36

so the area of the smaller rectangle is 36ft²

For the larger rectangle

Once again the area can simply be found by multiplying the width and length

A = 8 * 9

8 * 9 = 72

so the area of the larger rectangle is 72ft²

For the triangle

To find the area of a triangle we want to use this formula

[tex]A = \frac{bh}{2}[/tex]

where b = base and h = height

We have already identified the base and height so all we have to do is plug in the values into the formula

[tex]A=\frac{5*9}{2} \\5*9=45\\\frac{45}{2} =22.5[/tex]

so the area of the triangle is 22.5ft²

Finally we add the areas of each regular figure

22.5 + 72 + 36 = 130.5

so we can conclude that the area of the composite figure is 130.5ft²