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2 years ago

I need help the correct answer please

Mathematics

2 answers:

natita [175]2 years ago

8 0

3 would be correct. That took a bit to figure oht

madam [21]2 years ago

5 0

7x^4y^6 - Selection 3 is correct!

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Which are solutions of x2 + 5x = 2? Check all that apply.

ANEK [815]

we have

$x^{2} +5x=2$

Complete the square. Remember to balance the equation by adding the same constants to each side

$x^{2} +5x+2.5^{2}=2+2.5^{2}$

$x^{2} +5x+6.25=2+6.25$

$x^{2} +5x+6.25=8.25$

Rewrite as perfect squares

$(x+2.5)^{2}=8.25$

Square Root both sides

$(x+2.5)=(+/-)\sqrt{8.25}$

$x=(+/-)\sqrt{8.25}-2.5$

$\sqrt{8.25}=\frac{\sqrt{33}}{2}$

substitute

$x=(+/-)\frac{\sqrt{33}}{2}-2.5$

therefore

the answer is

the solutions are

$x1=-2.5+\frac{\sqrt{33}}{2}$ or $x1=\frac{-5+\sqrt{33}}{2}$

$x2=-2.5-\frac{\sqrt{33}}{2}$ or $x2=\frac{-5-\sqrt{33}}{2}$

7 0

3 years ago

Read 2 more answers

A factory makes an oil mixture by mixing oils of grades A and B as follows. For every 2.3 liters of grade A oil, 1.2 liters of g

lozanna [386]

To produce 1000L of mixture the factory will need 657 liters of grade A and 343 liters of grade B. To determine this you have to figure out the percentage of each grade in the mixture. The ratio is 2.3 liters to 1.2 liters. Therefor in this scenario the unit equaling 100% is 3.5 liters. To find the percentage of grade A you divide the amount used by the total amount of the unit 100%: 2.3 divided by 3.5 = .657 (multiply the answer by 100 to get 65.7%). To find the percentage of grade B you divide the amount used by the total amount of the unit 100%: 1.2 divided by 3.5 = .343 (multiply the answer by 100 to get 34.3%) To test your answer make sure both percentages add up to 100%: 65.75 plus 34.35 = 100% To determine how much of grade A and grade B is needed for a set amount of liters you multiply the percentage by the liters needed. For this situation you multiply 65.7% (when multiplying percentages you need to multiply in decimal form). For grade A you multiply .657 (65.7%) by 1000 liters = 657 liters For grade B you multiply .343 (34.3%) by 1000 liters = 343 liters To test your answer you can use the same addition as you did to test the percentages: 657 liters plus 343 liters = 1000 liters

4 0

3 years ago

Read 2 more answers

write an equation in point-slope form and slope-intercept form for a line that passes through point(4,-1) and has a slope of -3

melamori03 [73]

Answer:

Point Slope: $(y-(-1)=3(x-4)$

Step-by-step explanation:

$y-y1=m(x-x1) Point Slope Form\\plug in:\\y-(-1)=3(x-4)\\$

$Slope Intercept is y=mx+b\\Find Y Int (b):\\b=-13\\Plug in;\\y=3x-13$

3 0

3 years ago

Mnenie [13.5K]

Answer: n = 75; p = 30

Explanation: (a) 5p + 4n = 450 where p is for pen and n is for notebook.

(b) 10p + 3n = 525

We can use the elimination method to solve these two equations.

1. Multiply the first equation by 2 so that 10p will cancel out:

2(5p + 4n = 450)

- 10p + 3p = 525

10p + 8n = 900

- 10 p + 3n = 525

5n = 375

2. Divide by 5 to get n alone: n = 75

3. Plug 75 into the first equation: 5p + 4(75) = 450

5p + 300 = 450

4. Subtract 300 from 450: 5p = 150

5. Divide by 5 to get p alone: p = 30

We can test if this is correct by plugging our answers into the second equation:

10(30) + 3(75) = 525

300 + 225 = 525

525 = 525

This is a true statement, which means that our answers are correct.

6 0

3 years ago

-3x - 5(-x + 3) = -25

Rainbow [258]

Answer:

Step-by-step explanation:

5 0

2 years ago