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2 years ago

What are the values of x in the equation 4x2 + 4x - 3 = 0?

Mathematics

1 answer:

9966 [12]2 years ago

5 0

Answer:

x= 0.5

or x= -1.5

Step-by-step explanation:

Let's solve your equation step-by-step.

4x2+4x−3=0

Step 1: Factor left side of equation.

(2x−1)(2x+3)=0

Step 2: Set factors equal to 0.

2x−1=0 or 2x+3=0

x= 1/2 or x= −3/2

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What is the unit rate of the proprrional relationship represented by the equation y=3x

NeX [460]

The unit rate of the proportional relationship y = 3x is 3

<h3>How to determine the unit rate?</h3>

The proportional relationship is given as:

y = 3x

Divide both sides by x

y/x = 3

For a proportional relationship y/x = k;

The unit rate is 3

This means that the unit rate of the proportional relationship y = 3x is 3

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1 year ago

Lucy has 4 more than 1/3 the number of pairs of socks as her sister. Lucy has at most 9 pairs of socks. How many pairs of socks

Volgvan

Answer: at most 15 pairs of socks

Step-by-step explanation:

Let the number of pair of socks of her sister be $x$ , and let the number of pairs Lucy has be $y$ .

Since , Lucy has 4 more than 1/3 the number of pairs of socks as her sister, this means that

$\frac{1}{3}x + 4 = y$ .............................. equation 1

Also , Lucy has at most 9 pairs of socks , this means that

$y\leq 9$ ....................................... equation 2

Equating the two equations , we have

$\frac{1}{3}x + 4 \leq 9$

multiply through by 3

$x + 12\leq 27$

subtract 12 from both sides

$x\leq 15$

Therefore , the sister has at most 15 pairs of socks

4 0

2 years ago

Find the 12th term of the arithmetic sequence given a3=116 and a7=180<br>

SOVA2 [1]

Answer:

Step-by-step explanation:

nth term = a +(n-1)d

a3 = 116 ; a + 2d = 116 ---------(i)

a7 = 180; a + 6d = 180 -------(ii)

multiply (ii) by -1. so a will be eliminated

a + 2d = 116 ---------(i)

(ii)*-1 <u>-a - 6d = -180</u> -------(ii) { Now add the two equations}

- 4d = -64

d = -64/-4

d = 16

Plug in the value of d in equation (i),

a + 2*16 = 116

a + 32 = 116

a = 116 - 32

a = 84

12th term = 84 + 11* 16 = 84 + 176 = 260

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2 years ago

Write the equation of a line in slope intercept form of a line that has a slope of 5 and a y

xenn [34]

Answer: y=5x-8

Step-by-step explanation: slope intercept form is y=mx+b. M stands for the slope and B stands for the y-intercept. You just need to input what the question is telling you.

8 0

2 years ago

Emilio asked his aunt for $20 to buy supplies for his lemonade stand. Once his stand opened he made $40 a day

FrozenT [24]

The equation that represents profit is $40x - $20.

The profit after 5 days in business is $180.

The profit after 10 days in business is $380.

The profit after 10 days in business if revenue is $45 is $430.

<h3>What is profit? </h3>

Profit is total revenue less total cost.

Profit = total revenue - total cost

Profit = $40x - $20

Where:

x = number of days

<h3>What is the total profit after 5 days and 10 days? </h3>

$40(5) - $20

= $200 - $20

= $180

$40(10) - $20

$400 - $20

$380

<h3>What is total profit if revenue is $45? </h3>

$45(10) - $20

= $450 - $20

= $430

To learn more about profit, please check: brainly.com/question/26181966

8 0

1 year ago