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3 years ago

8

Sylvia earns $7 per hour at her afterschool job. One week she worked several hours and received a paycheck for $91. Write and so

lve an equation to find the number of hours in which Sylvia would earn $91.

1 answer:

Olegator [25]3 years ago

3 0

91=7x
X = 13

Let x equal the amount of hours she worked at the job.

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What are the domain and range of f(x)=-37

nikitadnepr [17]

Answer:

Domain:(-∞, ∞)

Range: {−32}

Step-by-step explanation:

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3 years ago

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Slope (m) = y2-y1 / x2-x1
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Find the domain for the rational function f of x equals quantity x plus 1 end quantity divided by quantity x minus 2 end quantit

Elena L [17]

Answer:

$(- \infty, 2), (2, \infty)$

Step-by-step explanation:

Given the function:

$f(x) = \dfrac{x+1}{x-2}$

To find:

Domain of the function.

Solution:

First of all, let us learn about definition of domain of a function.

Domain of a function is the valid input values that can be provided to the function for which output is defined.

OR

Domain of a function $f(x)$ are the values of $x$ for which the output $f(x)$ is a valid value.

i.e. The function does not tend to $\infty$ or does not have $\frac{0}0$ form.

So, we will check for the values of $x$ for which $f(x)$ is not defined.

For value to tend to $\infty$ , denominator will be 0.

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Any other value of x does not have any undefined value for the function $f(x)$ .

Hence, the answer is:

$\bold{(- \infty, 2), (2, \infty)}$ [2 is not included in the domain].

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3 years ago

there are 30 students in the classand 24 of these students pass their english test.what percentage of these students pass their

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Step-by-step explanation:

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2 years ago

Anika [276]

Answer:

The perimeter of triangle is 19.8 units

Step-by-step explanation:

we know that

The perimeter of triangle ABC is

$P=AB+BC+AC$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

we have

$A(-2,3),B(3,0)$

substitute in the formula

$d=\sqrt{(0-3)^{2}+(3+2)^{2}}$

$d=\sqrt{(-3)^{2}+(5)^{2}}$

$d_A_B=\sqrt{34}\ units$

step 2

Find the distance BC

we have

$B(3,0),C (-4,-3)$

substitute in the formula

$d=\sqrt{(-3-0)^{2}+(-4-3)^{2}}$

$d=\sqrt{(-3)^{2}+(-7)^{2}}$

$d_B_C=\sqrt{58}\ units$

step 3

Find the distance AC

we have

$A(-2,3),C (-4,-3)$

substitute in the formula

$d=\sqrt{(-3-3)^{2}+(-4+2)^{2}}$

$d=\sqrt{(-6)^{2}+(-2)^{2}}$

$d_A_C=\sqrt{40}\ units$

step 4

Find the perimeter

$P=AB+BC+AC$

substitute the values

$P=\sqrt{34}+\sqrt{58}+\sqrt{40}$

$P=19.8\ units$

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3 years ago