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beks73 [17]
1 year ago
6

Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the s

ame solutions as the one shown. 8x + 7y = 39 4x – 14y = –68
Mathematics
1 answer:
telo118 [61]1 year ago
3 0

Answer:

(1/2, 5)

Step-by-step explanation:

8x + 7y = 39

-2(4x - 14y = -68)

-8x + 28y = 136

8x + 7y = 39

add the two equations together

35y = 175

y = 5

8x + 7(5) = 39

8x = 4

x = 1/2

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What is the following product? RootIndex 3 StartRoot 16 x Superscript 7 Baseline EndRoot times RootIndex 3 StartRoot 12 x Supers
Nadya [2.5K]

Answer:

4x^5\sqrt[3]{3x}

Step-by-step explanation:

I'm not sure I understand the problem, but I think it's this:

\sqrt[3]{16x^7} \times \sqrt[3]{12x^9} =

= \sqrt[3]{16 \times 12 \times x^{16}}

= \sqrt[3]{192 \times x^{15} \times x}

= \sqrt[3]{64 \times 3 \times (x^5)^3 \times x}

= \sqrt[3]{4^3 \times 3 \times (x^5)^3 \times x}

= 4x^5\sqrt[3]{3x}

8 0
1 year ago
Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average
lutik1710 [3]
Let the distance of the first part of the race be x, and that of the second part, 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
5x + 30 - 2x = 45
3x = 45 - 30 = 15
x = 15/3 = 5

Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes
The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.
4 0
1 year ago
Read 2 more answers
What type of polygon would a slice of a hexahedron at a vertex create? Explain. What type of polygon would a slice of an icosahe
harina [27]

Answer:

  • hexahedron: triangle or quadrilateral or pentagon
  • icosahedron: quadrilateral or pentagon

Step-by-step explanation:

<u>Hexahedron</u>

A hexahedron has 6 faces. A <em>regular</em> hexahedron is a cube. 3 square faces meet at each vertex.

If the hexahedron is not regular, depending on how those faces are arranged, a slice near a vertex may intersect 3, 4, or 5 faces. The first attachment shows 3- and 4-edges meeting at a vertex. If those two vertices were merged, then there would be 5 edges meeting at the vertex of the resulting pentagonal pyramid.

A slice near a vertex may create a triangle, quadrilateral, or pentagon.

<u>Icosahedron</u>

An icosahedron has 20 faces. The faces of a <em>regular</em> icosahedron are all equilateral triangles. 5 triangles meet at each vertex.

If the icosahedron is not regular, depending on how the faces are arranged, a slice near the vertex may intersect from 3 to 19 faces.

A slice near a vertex may create a polygon of 3 to 19 sides..

3 0
2 years ago
Antawn Jamison is shooting free throws. Making or missing free throws doesn't change the probability that
scoray [572]

Answer: 0.73^9

Step-by-step explanation: Khan

5 0
2 years ago
A function f(x) has x intercepts of -3 and -5. What is the constant term in the function?
Anon25 [30]

Answer:

The constant term in the function is 5

Step-by-step explanation:

we have

f(x)=x^{2}+8x+b

where

b is the y-intercept or the constant term of the function

Remember that

The x-intercept is the value of x when the value of the function is equal to zero

so

For x=-3 ----> f(x)=0

For x=-5 ----> f(x)=0

substitute any of the intercepts in the function

For x=-3

0=(-3)^{2}+8(-3)+b

0=9-24+b

0=-15+b

b=15

f(x)=x^{2}+8x+15

Verify with the other intercept

For x=-5

0=(-5)^{2}+8(-5)+15

0=25-40+15

0=0 ---> is true

therefore

The constant term in the function is 5

3 0
2 years ago
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