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11 months ago

1 Select the correct answer. Multiply the binomials: (3x + 4)(5x - 2) A.15x2 + 20x-8b. 15x2 + 14x-8 c. 15x2- 14x-8 D. 15x2+ 14x8

Mathematics

1 answer:

leonid [27]11 months ago

3 0

Multiply the binomials:

(3x + 4)(5x - 2)

$\begin{gathered} =3x(5x\text{ - 2) + 4(5x - 2)} \\ =15x^2\text{ - 6x + 20x - 8} \\ =15x^2\text{ + 14x - 8} \end{gathered}$

Final answer

Option B is the final answer

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I really need help i will rate you branliest

AlexFokin [52]

<h3>Answer: $14,137.30</h3>

Work Shown:

A = P*(1+r)^t

A = 21450*(1+(-0.08))^5

A = 21450*(1-0.08)^5

A = 21450*(0.92)^5

A = 21450*0.6590815232

A = 14137.29867264

A = 14,137.30

Notice how I used a negative r value to indicate depreciation rather than growth.

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3 years ago

I need help on the fraction part

8_murik_8 [283]

Answer:

3 1/7 units

Step-by-step explanation:

(im assuming that 22/7 is what it's being converted here lol) basically what you would do is turn this in to a mixed fraction. You look at how many sevens can go into 22. In this case, three "sevens" would go into 22 (7x3=21). Since we have one left over, it would go over the 7! So that final answer would be 3 1/7!

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2 years ago

I have the 2nd and last one not sure of the 1st or 3rd

r-ruslan [8.4K]

Given:

• Length of base(cube) = 6 ft

• Height of square prism = 20 ft

• Height of pyramid =4 ft

Since it is a composite figure, the surface of some sides will not be included in the surface area.

Let's solve for the following:

• (a). The surface area of the pyramid.

To find the surface area of the pyramid, apply the formula:

$SA=A+\frac{1}{2}ps$

Where:

A is the area of the base

p is the perimeter of the base

s is the slant height.

To find the slant height, apply Pythagorean theorem:

$\begin{gathered} s=\sqrt{(4)^2+(\frac{6}{2})^2} \\ \\ s=\sqrt{16+9}=\sqrt{25}=5\text{ ft} \end{gathered}$

We have:

$\begin{gathered} SA=(6*6)+\frac{1}{2}(6*4)*5 \\ \\ SA=36+\frac{1}{2}(24)*5 \\ \\ SA=36+60 \\ \\ SA=96\text{ ft}^2 \end{gathered}$

The surface area of the pyramid is 96 ft².

• (b). Surface area of the square prism.

Apply the formula:

$\begin{gathered} SA=3ah \\ \\ SA=4(6)(20) \\ \\ SA=480\text{ ft}^2 \end{gathered}$

The surface area of the square prism is 480 ft².

• (c). Surface area of the cube.

To find the surface area of the cube, we have:

$\begin{gathered} SA=6a^2 \\ \\ SA=6(6)^2 \\ \\ SA=216\text{ ft}^2 \end{gathered}$

The surface area of the cube is 216 ft²

The total surface area will be:

T = Surface area of pyramid + surface area of prism + surface area of cube - area of base

T = 96 + 480 + 216 - 36

T = 756 ft²

ANSWER:

Surface area of the pyramid is 96 ft².

Surface area of the square prism is 480 ft².

Surface area of the cube is 216 ft²

Total surface area is 756 ft²

8 0

1 year ago

There are 7 blue , 3 pink , 4 yellow , and 2 red markers in the tray . What is the probability that you will pick a yellow marke

Sonja [21]

Answer:

1/4

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Help Math All the Points i have

d1i1m1o1n [39]

Hey there!
We'll be writing them in slope-intercept form. Slope intercept form is defined as:
y = mx + b
With m being the slope and b as the y-intercept. Now, we can just plug them in.

1)
y = -3x - 2
Slope = -3
Y intercept = -2

2) y = 5x + 7
Slope = 5
Y intercept = 7

3) y = -3/4x + 3
Slope = -3/4
Y intercept = 3

4) y = 5/2x - 6
Intercept = -6
Slope = -5/2

Hope this helps!

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2 years ago