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nata0808 [166]
3 years ago
13

Which inequality has the solution set shown in the graph below?

Mathematics
1 answer:
lianna [129]3 years ago
7 0

Answer:

-7x≥-21

Solution:

-7x ≥ -21

÷-7    ÷-7

flip the sign when we divide by a negative number

x ≤ 3

≥ and ≤ mean closed dot

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If<br> f(x) = 13x + 1, then<br> f-1(x) =
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Answer:

(x-1)/13

Step-by-step explanation:

y = 13x+1

To find the inverse, exchange x and y

x = 13y+1

Solve for y

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x-1 =13y+1-1

x-1 = 13y

Divide each side by 13

(x-1)/13 = y

The inverse is (x-1)/13

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Step-by-step explanation:

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Ivan purchased stock in a company at an initial price of $8 per share. The share value reached $18 after 10 days and then began
Butoxors [25]

The quadratic equation that best represents his model of the relationship between stock value and time is given by:

y = -0.0976(x - 10)^2 + 18, x \geq 0

The graph is given at the end of the answer.

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The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)^2 + k

In which a is the leading coefficient.

In this problem, the maximum value was a share value of $18 after 10 days, hence the vertex is:

(h,k) = (10,18).

Thus:

y = a(x - 10)^2 + 18

Since the initial price was of $8 per share, we have that:

8 = a(0 - 10)^2 + 18

-82a = 8

a = -\frac{8}{82}

a = -0.0976

Hence the equation is:

y = -0.0976(x - 10)^2 + 18, x \geq 0

At the end of the answer, the sketch of the graph is given.

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