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3 years ago

Distributive 8(4x+9)

Mathematics

1 answer:

Mariulka [41]3 years ago

3 0

Answer: 32x + 72

Step-by-step explanation:

8*4x +8*9

32x +72

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Instructions:Drag the tiles to the correct boxes to complete the pairs. Match each polynomial function with one of its factors.

Svetach [21]

We have the following functions:
f (x) = x3 - 3x2 - 13x + 15
f (x) = x4 + 3x3 - 8x2 + 5x - 25
f (x) = x3 - 2x2 - x + 2
f (x) = -x3 + 13x - 12
Factoring we have:
f (x) = x3 - 3x2 - 13x + 15 -------> x + 3
f (x) = x4 + 3x3 - 8x2 + 5x - 25 -> x + 5
f (x) = x3 - 2x2 - x + 2 ------------> x - 2
f (x) = -x3 + 13x - 12 -------------> x + 4

3 0

4 years ago

Read 2 more answers

Solve the logarithmic equation for x.

aev [14]

Answer:

x = 2 or x = 4

Step-by-step explanation:

Solve: 2 log x = log 2 + log(3x - 4)

log (x^2) = log 2 + log (3x - 4)

log (x^2) = log [2*(3x - 4)]

x^2 = 2*(3x - 4)

x^2 = 6x - 8

x^2 - 6x + 8 = 0

factor:

(x - 2 )(x - 4) = 0

x = 2 or x = 4

4 0

3 years ago

Help 80 points A concrete planter is formed from a square-based pyramid that was inverted and placed

Rufina [12.5K]

Answer:

The slant height of the pyramid refers to the height of a face of the pyramid.

Notice that each slant height forms a right triangle like the image attached shows, where the hypothenuse is the slant height. Additionally, the bottom leg is 1 yard, because is half of the base side, and the other leg is 2 yard. Using Pythagorean's Theorem, we have

$h^{2} =1^{2} +2^{2} \\h=\sqrt{1+4}=\sqrt{5}$

Therefore, the slant height is the square root of 5 yard.

The surface area of the composite figure is the sum of the surface area of both volumes.

<h3>Surface area of the cube.</h3>

$S_{cube}=5(2yd)^{2} =20 yd^{2}$

Notice that we only included 5 faces of the cube, that is because the sixth is the base of the pyramid, so if we include it here, we would have the wrong total surface area.

<h3>Surface area of the pyramid.</h3>

$S_{pyramid}=\frac{1}{2}pl$

Where $p$ is the perimeter of the base and $l$ is the slant height.

$S_{pyramid}=\frac{1}{2}(8yd)(\sqrt{5}yd )=4\sqrt{5}yd ^{2}$

Therefore, the surface od the composite figure is

$S_{total}=20yd^{2} +4\sqrt{5} yd^{2} \approx 29.94 yd^{2}$

To find the cubic yards of concrete, we need to subtract the volume of the figures, because the concrete would be inside the space between the cube and the pyramid.

$V_{concrete}=V_{cube} -V_{pyramid}=l^{3}- \frac{1}{3}l^{2}h$

Where $l=2yd$ and $h=2yd$

$V_{concrete}=2^{3}-\frac{1}{3}(2)^{2} (2)=8-\frac{8}{3} \approx 5.33 yd^{3}$

Therefore, it would be needed 5.33 cubic yards of concrete to make the planter.

8 0

3 years ago

F(x) = -1/3x find the average rate of change of f from -2 to 2

Bas_tet [7]

Average rate=(change in y)/(change in x)

if f(x)=-x/3

r=( f(2)-f(-2) )/(2--2)

r=(-2/3-2/3)/(2+2)

r=(-4/3)/4

r=-4/12

r=-1/3

For a line, this is always true, since all lines have a constant velocity, the average velocity over any interval is equal to the slope.

8 0

3 years ago

The prime factorization of two numbers are shown. 2 510 3 8 ×5×7×41 12 How do you know that 35 is a common factor?

andrew-mc [135]

Answer:

25038x65

Step-by-step explanation:

I practic buy Using the common factor of this problem.

6 0

3 years ago