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joja [24]
3 years ago
14

Solve the equation for the y-value and choose whether it is a direct variation or inverse variation.

Mathematics
1 answer:
muminat3 years ago
5 0

Answer:

B

Step-by-step explanation:

the equation representing direct variation is

y = kx ← k is the constant of variation

The equation representing inverse variation is

y = \frac{k}{x} ← k is the constant of variation

Given

3y = x ( divide both sides by 3 )

y = \frac{1}{3} x ← equation representing direct variation

with k = \frac{1}{3}

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Using the completing-the-square method, rewrite f(x) = x2 + 10x + 7 in vertex form
mr Goodwill [35]

Answer:

f(x) = (x - (-5))^2 + (-18)

Step-by-step explanation:

Given:

f(x) = x^2 + 10x + 7

Rewrite f(x) in vertex form

Solution:

f(x) = ax^2 + bx + c is a quadratic function.

The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.

=> f(x) = x^2 + 10x + 7

          = x^2 + 10x + 25 - 18

          = (x + 5)^ - 18

          = (x - (-5))^2 + (-18)

=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18

6 0
3 years ago
The wheels on Noah's bike have a circumference of about 5 feet. How far does the bike travel as the wheels makes 15 complete rot
grin007 [14]

Answer:

75 feet

Step-by-step explanation:

If the circumference of the wheels is 5 feet, every full rotation the bike will travel 5 feet. Therefore, after 15 full rotations the bike will travel 15 * 5 = 75 feet.

8 0
3 years ago
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Anybody know how to solve for Y
Anon25 [30]

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Step-by-step explanation:

7 0
3 years ago
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NikAS [45]
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8 0
3 years ago
2^n-5×5^n-4=5
Papessa [141]

\huge{\fbox{\sf{n=5 }}}

Step 1:

⇒ {2}^{n - 5}   \times  {5}^{n - 4}  = 5

Step 2:

⇒{2}^{n - 5}  \times  {5}^{n - 4}  =  {5}^{1}  \times  {2}^{0}

On comparing values we get:

Taking:

{2}^{n - 5}  =  {2}^{0}

n-5=0

n=5✓

or

Taking:

{5}^{n - 4}  =  {5}^{1}

n-4=1

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3 0
3 years ago
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