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Help me please I will mark brainliest if it will let me ‼️To attend Pennsylvania state university the cost per credit is $157 an

Snowcat [4.5K]

The yearly cost for a student who took 32 credits is $5242

Step-by-step explanation:

To attend Pennsylvania state university you must pay

$157 the cost per credit
$218 the yearly fees

We need to find the yearly cost for a student who took 32 credits

Assume that the number of credits is x

∵ The cost per credit = $157

∵ The number of credits = x

∵ The yearly fees = $218

- Put them in a linear equation

∴ The yearly cost = 157 x + 218

∵ The number of credits = 32

∴ x = 32

- Substitute the value of x in the equation below

∵ The yearly cost = 157 x + 218

∴ The yearly cost = 157(32) + 218

∴ The yearly cost = 5024 + 218

∴ The yearly cost = $5242

The yearly cost for a student who took 32 credits is $5242

Learn more;

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

6 0

3 years ago

Simplify the following expression:

Salsk061 [2.6K]

Simplification form of the provided expression is -x⁴-2x³+2x+5 option (B) is correct.

<h3>What is an expression?</h3>

It is defined as the combination of constants and variables with mathematical operators.

The options are:

A) -x⁴ - 2x - x + 2

B) -x⁴ - 2x³ + 2x + 5

C) -2x³ + 1

D) -x - 2x² + 2x + 5

We have an expression:

= (x + 3) - [(x + 2)(x³ - 1)]

$\rm =x+3-\left(x+2\right)\left(x^3-1\right)$

$\rm =x+3-x^4+x-2x^3+2$

$\rm =-x^4-2x^3+2x+3+2$

$\rm =-x^4-2x^3+2x+5$

Thus, simplification form of the provided expression is -x⁴-2x³+2x+5 option (B) is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

5 0

2 years ago

Which of the ordered pairs satisfy the equation below?

sveticcg [70]

A c d f Plug the x values in and see if you get the y value.

7 0

3 years ago

Read 2 more answers

The volume of the right prism is 360 cm. What is the surface area of the prism, in square centimeters? Record your answer on the

MissTica

Answer:

135 cm

Step-by-step explanation:

7 0

3 years ago

Write an equation of the line that passes through (18, 2) and is parallel to the line 3y−x=−12

miskamm [114]

keeping in mind that parallel lines have the same exact slope, hmmmm what's the slope of the line above anyway?

$\bf 3y-x=-12\implies 3y=x-12\implies y=\cfrac{x-12}{3}\implies y = \cfrac{x}{3}-\cfrac{12}{3} \\\\\\ y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{3}}x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so we're really looking for the equation of a line whose slope is 1/3 and runs through (18,2)

$\bf (\stackrel{x_1}{18}~,~\stackrel{y_1}{2})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{18}) \\\\\\ y-2=\cfrac{1}{3}x-6\implies y=\cfrac{1}{3}x-4$

3 0

3 years ago