Ahmed wrote an expression as 12x + 24, find all the equivalent expressions using the distributive property.

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

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:

1 1/2 pinyt

Step-by-step explanation:

Answer:

Step-by-step explanation:

I have no clue I just need 5 pionts

C. X > -1

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

−2x + 5 < 7

Step 2: Subtract 5 from both sides.

−2x + 5 − 5 < 7 − 5

−2x<2

Step 3: Divide both sides by -2.

−2x/−2 < 2/−2

x > −1

9514 1404 393

Answer:

  37°

Step-by-step explanation:

The diagonals of a rhombus are angle bisectors. Angle 1 matches the other half of angle L.

  ∠1 = 37°

__

Angle 2 is the complement, 53°, and angle 3 is the same as angle 2, 53°.

The diagonals of a rhombus are perpendicular bisectors of each other, so angle 4 is 90°.

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

#SPJ3

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

Answer:

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

Step-by-step explanation:

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:

I think 1

Step-by-step explanation:

Maybe not 100% $ure

Answer:3

because yeah that the answear and stuff

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:

1/8 = 0.125

1/9 = 0.1

2/3 = 0.6

4/7 = 0. 571428

3/10 = 0.3

5/3 = 1.6

9/5 = 1.8

5/6 = 0.83

Answer:

2 1/2 x 3 1/2 x 7 =  61 1/4

Answer:

28

Step-by-step explanation:

22÷1.50=14.6

=14

14×2=28

Answer:

Step-by-step explanation:

1895 x 7895 + 6575 - 1.753

14961025 + 6575 - 1.753

14967600 - 1.753

14,967,598.247

Answer:

Footsteps is the answer.

Hope it helps!!!

Answer:

54

Step-by-step explanation:

Answer:

<2 and <8

Step-by-step explanation:

Answer:

2oz are 1/4 cup

done easy.

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: 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:

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:

15000000.00 mcg

Step-by-step explanation:

Answer:

The answer to this question is 13

Answer:

i believe the answer is y =5

(13)^2 = (12)^2 +( y)^2

169= 144 + y^2

169-144= y^2

25= y^2

5 = y

Answer:

-1.5, -(-2), 2.5, 8/3

Step-by-step explanation:

pretty sure this is right