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3 years ago

What is the y-intercept of f–1(x)?

Mathematics

1 answer:

wolverine [178]3 years ago

8 0

Answer:

-16

Step-by-step explanation:

The given linear function is ; $f(x)=\frac{3}{4}x+12$

Let $y=\frac{3}{4}x+12$ .

We interchange x and y.

$x=\frac{3}{4}y+12$ .

We solve for y.

$x-12=\frac{3}{4}y$ .

We now multiply through by $\frac{4}{3}$ to get:

$\frac{4}{3}x-12\times\frac{4}{3}=y$ .

This simplifies to;

$y=\frac{4}{3}x-16$ .

Hence $f^{-1}(x)=\frac{4}{3}x-16$ .

The y-intercept is -16

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sergejj [24]

Take the whole and multiply it by the percentage

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660 * .4 = 264

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3 years ago

Miss Johnson gave a $1.50 tip to a waitress for serving a meal costing $10.00. What percent of the bill was her tip? PLZ ANSWER

nataly862011 [7]

Answer:

it's 15 percent

Step-by-step explanation:

1% = 0.10

2% = 0.20 and so on

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3 years ago

single die is rolled twice. Find the probability of rolling an oddodd number the first time and a number greater than 33 the sec

givi [52]

Answer:

$\frac{1}{4}$

Step-by-step explanation:

A single die is rolled twice, we have to find the probability of rolling an odd number in first throw and a number greater than 3 in the second throw.

a) Rolling an Odd number in first throw

A die has total 6 possible outcomes, out of which 3 are odd numbers i.e. 1,3 and 5

So, total number of possible outcomes = 6

Total Favorable outcomes (Odd numbers) = 3

Probability is defined as the ratio of favorable outcomes to total number of outcomes. So,

The probability of rolling an odd number would be = $\frac{3}{6} = \frac{1}{2}$

b) Rolling a number greater than 3 in second throw

Here again total possible outcomes = 6

Favorable outcomes (Numbers greater than 3 are 4, 5 and 6) = 3

So,

The probability of rolling a number greater than 3 = $\frac{3}{6} = \frac{1}{2}$

These two events(rolls) are independent of each other, so the overall probability of both events occurring would be the product of individual probabilities.

So,

Probability of rolling an odd number the first time and a number greater than 3 the second time = $\frac{1}{2} \times \frac{1}{2} = \frac{1}{4}$

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2 years ago

Find the quadratic function y=f(x) whose graph has a vertex (−3,4) and passes through the point (−7,0). Write the function

olganol [36]

Answer:

Step-by-step explanation:

This is a parabola since a quadratic is a parabola. The standard form for a parabola is y = ax² + bx + c

but before we do that, we will use the vertex form, since it will make our work easier at the beginning.

First and foremost, when we plot the vertex and the given point, the vertex is higher up than is the point; that means that this parabola opens upside down, and its vertex form will be

y=-|a|(x - h)² + k

The absolute value is out in front of the a, so we know that the value of a is positive, but the quadratic itself is negative (upside down) and we will find that math takes care of that negative that needs to be out front. So we need to solve for a by filling in the x, y, h, and k values from the point and the vertex: x = -7, y = 0, h = -3, k = 4

0 = a(-7 - (-3))² + 4 and

0 = a(-7 + 3)² + 4 and

0 = a(-4)² + 4 and

0 = a(16) + 4 and

0 = 16a + 4 and

-4 = 16a so

$a=-\frac{1}{4}$