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2 years ago

What is the solution set of the equation X squared + 3x-4=6?

Mathematics

2 answers:

timama [110]2 years ago

8 0

Answer:x=2

Step-by-step explanation:

x^2+3x-4=6

2x+3x-4=6

add 2x and 3x and you get 5x

5x-4=6

add 4 to both sides 6 plus 4 is 10

5x=10

know divide 5 from both sides and you get 2

x=2

Inessa05 [86]2 years ago

4 0

Answer:

x = 2 or x = -5

Step-by-step explanation:

x² + 3x - 4 = 6

x² + 3x -4 - 6 = 0

x² + 3x - 10 = 0 (Here you find two numbers that have a sum of 3 and a product of -10. These two numbers would be 5 and -2. 5 - 2=3 and 5×-2 =-10.)

x² + 5x - 2x -10 = 0 (They you replace 3x by 5x and -2x)

(x² + 5x) (-2x -10) =0 - (You find common terms)

x(x + 5) -2(x + 5) = 0

(x - 2) (x + 5) = 0

x - 2 = 0 or x + 5 = 0

x =2 x = -5

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In this figure a || b Find the measure of each angle using either of the given angle measures. Identify the reason for each answ

geniusboy [140]

Answer:

$m$

Step-by-step explanation:

Part 1) Find the measure of angle 1

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$m$ -----> by supplementary angles

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Part 2) Find the measure of angle 2

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$m$ -----> by alternate exterior angles

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$m$ -----> by vertical angles

Part 4) Find the measure of angle 4

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$m$ ------> by corresponding angles

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$m$ -----> by supplementary angles

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$m$

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3 0

3 years ago

The sum of two integers is 54 and the difference is 10. Fin the integers

Setler [38]

Answer:x + y = 54

x - y = 10

Add them to get: 2x = 64

x = 32

and plugging in x = 32 to either equation: y = 22

Ans: the numbers are 22 and 32

Step-by-step explanation:

4 0

4 years ago

The owner of a restaurant is reviewing customer complaints. In a random sample of 227 complaints, 57 complaints were about the s

iragen [17]

Answer:

$0.1375$ to $0.3624$

Step-by-step explanation:

Given :The owner of a restaurant is reviewing customer complaints. In a random sample of 227 complaints, 57 complaints were about the slow speed of the service.

To Find :Create a 95% confidence interval for the proportion of complaints that were about the slow speed of the service.

Solution:

n = 227

x = 57

Formula of confidence for proportion: $\widecap{p}-z_{\frac{\alpha}{2}}\sqrt{\frac{\widecap{p}\widecap{q}}{n}}$ to $\widecap{p}+z_{\frac{\alpha}{2}}\sqrt{\frac{\widecap{p}\widecap{q}}{n}}$

$\widecap{p}=\frac{x}{n}$

$\widecap{p}=\frac{57}{227}$

$\widecap{p}=0.25$

$\widecap{q}=1-\widecap{p}$

$\widecap{q}=1-0.25$

$\widecap{q}=0.75$

z at 95% is 1.96

Substitute the values in the formula :

Confidence for proportion: $0.25-1.96\sqrt{\frac{0.25 \times 0.75}{57}}$ to $0.25+1.96\sqrt{\frac{0.25 \times 0.75}{57}}$

Confidence for proportion: $0.1375$ to $0.3624$

Hence 95% confidence interval for the proportion of complaints that were about the slow speed of the service is $0.1375$ to $0.3624$

6 0

3 years ago

Read 2 more answers

A square has a diagonal that is 26 feet long.<br> What is the perimeter of this square?

Bond [772]

answer:

52 $\sqrt{2}$

step-by-step explanation:

we can use the 45-45-90 triangle theorem for this: x, x, x $\sqrt{2}$

this is because this is a square

squares have two sides of the same length, and the diagonal is different
the x's stand for the sides, whereas the x $\sqrt{2}$ stands for the diagonal

x $\sqrt{2}$ = 26

x = 13 $\sqrt{2}$

now multiply this by 4 because this is the length of one of the sides of the square. in order to find the perimeter we have to either add this four times or multiply by 4

13 $\sqrt{2}$ X 4 = 52 $\sqrt{2}$

5 0

3 years ago

HEY HERE IS THE NEXT QUESTION

mezya [45]

Answer:

5x-0=25

Step-by-step explanation:

5x-0=25

5x=25

x=5

I hope I did this right :/

8 0

3 years ago

Read 2 more answers