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GREYUIT [131]
3 years ago
11

Expand and simplify the following expression:

){3}" alt="(a-2b){3}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
bazaltina [42]3 years ago
7 0
(x-y)^3=x^3-3x^2y+3xy^2-y^3\\--------------------------\\(a-2b)^3=a^3-3a^2\cdot2b+3a\cdot(2b)^2-(2b)^3\\\\=a^3-6a^2b+12ab^2-8b^3
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The vertex of the graph of y = -4(x + 3)² + 2 is<br> DONE
wariber [46]

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The vertex of the parabola will lie at (-3,2).

<h3>What is the Equation of a parabola?</h3>

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.

y = a(x-h)² + k

where,

(h, k) are the coordinates of the vertex of the parabola in the form (x, y);

a defines how narrower is the parabola, and the "-" or "+" that the parabola will open up or down.

Comparing the given equation with the equation of a parabola, we will get,

y =  a(x -h)² + k

y = -4(x+3)² + 2

Hence, the vertex of the parabola will lie at (-3,2).

Learn more about Parabola:

brainly.com/question/8495268

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5 0
2 years ago
8x+12=4(3+2x)<br><br> Show your work please
marysya [2.9K]

Answer:

8x + 12 = 12 + 8x

0 = 0

Step-by-step explanation:

Distribute then simplify

7 0
3 years ago
Read 2 more answers
Determine which of the following formulas hold for all invertible n×n matrices A and B.
garik1379 [7]

Answer:

1 hold

2 hold

3 does not hold

4 hold

5 hold

6 hold

7 does not hold

8 does not hold

9 Does not hold

10 Hold

Step-by-step explanation:

The detailed step by step verification is as shown in the attachment

4 0
4 years ago
Pls pls pls pls help e out with this
Mice21 [21]

Answer:

3(n+7)-6=2n+10+n

Step-by-step explanation:

5 0
3 years ago
A store is having a sale on trail mix and jelly beans. For 7 pounds of trail mix and 9 pounds of jelly beans, the total cost is
Vlad [161]

Answer:

The cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.

Step-by-step explanation:

Let each pound of trail mix cost x dollars and each pound of jelly beans cost y dollars.

Given:

7 pounds of trail mix and 9 pounds of jelly beans cost $ 37.

So, 7x+9y=37--------------- 1

Also, 5 pounds of trail mix and 3 pounds of jelly beans cost $ 17.

So, 5x +3y=17--------------- 2

Multiplying equation 2 by -3, we get

(5x +3y=17)\times -3\\-15x-9y=-51-------- 3

Now, adding equations 1 and 3, we get

7x+9y-15x-9y=37-51\\7x-15x=-14\\-8x=-14\\x=\frac{-14}{-8}=\$1.75

Now, plug in x=1.75 in equation 1 and solve for y.

7(1.75)+9y=37\\12.25+9y=37\\9y=37-12.25\\9y=24.75\\y=\frac{24.75}{9}\\ y=\$2.75

Therefore, the cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.

7 0
4 years ago
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