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Ber [7]
3 years ago
14

Find all of the zeros of f(x) = 5x2 + 40x - 100.

Mathematics
2 answers:
Mama L [17]3 years ago
7 0

Answer:

x_1 = 2

x_2 = -10

Step-by-step explanation:

To find all of the zeros of f(x) = 5x^2 + 40x - 100 we can use the quadratic formula:

x = \frac{-40 \pm \sqrt{40^2 - 4(5)(-100)}}{2(5)}

x = \frac{-40 \pm 60}{10}

x_1 = \frac{-40 + 60}{10}

x_1 = 2

x_2 = \frac{-40 - 60}{10}

x_2 = -10

rjkz [21]3 years ago
3 0
I used the quadratic equation to solve so your answer is X= -10, 2

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4 0
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What is the surface area of this figure in square centimeters?
Mashutka [201]

9514 1404 393

Answer:

  A.  96

Step-by-step explanation:

The surface area is the sum of the areas of the two triangular bases and the areas of the three rectangular lateral faces.

  A = 2(1/2)bh + PH

where b is the base of the triangle, h is its height, P is the perimeter of the triangle, and H is the height of the prism.

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7 0
3 years ago
The cube with side 2 is cut from the corner of rectangular prism with dimensions 4×3×5. Find the volume and total surface area o
True [87]

Answer:

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Surface Area: 94 units.

Step-by-step explanation:

The volume is relatively simple to find. Just subtract the original volume by the 2x2x2 cube's volume. The original volume is 60. The cube's volume is 2x2x2 which is 8. 60-8=52.

The surface area is harder to find. Try to envision the corner of the rectangle being cut out. We see that each side of the cube has a surface area of 2x2 which is 4. In the picture, we see that three sides of the rectangle has been partially removed. But since each side of the cube has an equal surface area, it is safe to minus 3 of the sides that has been partially removed by 3. However, since that it is the corner, the "dent" that the cube made in the rectangle also needed to be counted. As we said, each of the sides of a cube has a surface area of 4, so since that the dent has 3 sides, we see that the surface area of the dent is 4x3 which is 12. Now we need to count the unaffected sides of the rectangle. There are three of them. Just multiply the edges to find the surface area of each side. Add all of the values up: 11+16+12+8+15+12+20=94 units.

5 0
3 years ago
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