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3 years ago

What are the solutions of 4x2 + x = -3? (5 points) and x2 - 7x = -12 (5 points)

Mathematics

2 answers:

Yuki888 [10]3 years ago

7 0

4x^2 + x + 3 = 0

x = [-1 +/- sqrt (1^2 - 4 * 4 * 3)] / 8 = - 1 +/- sqrt ( --47) / 8

= ( - 1 +/- sqrt47i) / 8 = -0.125 + 0.857i , -0.125 - 0.857i

rosijanka [135]3 years ago

4 0

Hello there :)

Check the picture below for the answer.

Let me know if you have questions about my answer.

Best of luck!

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Carmen has $30 in store bucks and a 25% discount coupon for a local department store. What maximum dollar amount can Carmen purc

hram777 [196]

The maximum amount can Carmen purchase so that after her store bucks and discount are applied is $\boxed{\$ 110}.$

Further Explanation:

Given:

Carmen has $\$ 30$ in store bucks.

A $25\%$ discount coupon for a local department store.

The total amount should be less than $\$ 60$ before sales tax.

Explanation:

Consider the amount of the purchase as A.

The Carmen has $\$ 30$ in store bucks.

The new amount will be $\left( {A - 30} \right).$

There is a $25\%$ discount coupon for a local department store.

The amount after discount can be calculated as follows,

$\begin{aligned}{\text{Amount}} &= \left( {1 - 0.25} \right) \times \left( {A - 30} \right) \\&= 0.75\left( {A - 30} \right) \\\end{alignedd}$

The total amount should be less than $\$ 60$ before sales tax.

The maximum amount can Carmen purchases so that after her store bucks and discount are applied can be calculated as follows,

$\begin{aligned}0.75\left( {A - 30} \right) &\leqslant 60 \\\frac{{0.75\left( {A - 30} \right)}}{{0.75}} &\leqslant \frac{{60}}{{0.75}} \\ A - 30 &\leqslant 80 \\A - 30 + 30 &\leqslant 80 + 30 \\A &\leqslant 110 \\\end{aligned}$

The maximum amount can Carmen purchase so that after her store bucks and discount are applied is $\boxed{\$ 110}.$

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequality

Keywords: Tax, returns, filed, tax return, Carmen, store bucks, department store, maximum, dollar, amount, Carmen purchase, discount, 25% discount coupon, coupon, sales tax.

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