Line / is a straight line.

Jesse and her brothers nick and owen are saving money over the summer each week, jesse saves twice as much as owen. Owen saves $

Harrizon [31]

If how much owen saves is x, 2x=y (jessie's amount of saved money) and
x-5=nick's amount of money =z

Since x+y+z=220, we plug 2x in for y and x-5 in for z, getting x+2x+x-5=220. Adding 5 to both sides, we get 4x=225 and by dividing by 4 we get x=225/4=61.25 dollars. 61.25-5=56.25=z=nick's money, and 61.25*2=122.5=jessie's saved money

7 0

4 years ago

Six less than four times a number is 26. What is the number?

statuscvo [17]

Okay, lets see here. So since we know that 26 is six less than the actual answer, we'll add 6 to 26 which gives us 32. Then we'll do 32 divided by 4, which is 8.

5 0

3 years ago

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Find all solutions of each equation on the interval 0 ≤ x<2π.

Aleksandr [31]

Answer:

$x = 0 \: or \:x = \pi$

Step-by-step explanation:

The given equation is

$\tan^{2} (x) \sec^{2} (x) + \sec^{2} (x) - \tan^{2} (x) = 2$

Subtract 2 from both sides and factor by grouping to get:

$\sec^{2} (x)(\tan^{2} (x) + 2) -1( \tan^{2} (x) + 2)$

$(\tan^{2} (x) + 2) (\sec^{2} (x) - 1) = 0$

By the zero product principle:

$(\tan^{2} (x) + 2) = 0 \: or \: (\sec^{2} (x) - 1) = 0$

$(\tan^{2} (x) = - 2 \: or \: \sec^{2} (x) = 1$

When

$\sec^{2} (x) = 1 \implies\cos^{2} (x) = 1$

$\implies \: \cos(x) = \pm1$

This implies

$x = 0 \: or \:x = \pi$

When

${ \tan }^{2} (x) = - 2$

We have

$\tan(x) = \pm \sqrt{ - 2}$

hence x is not defined for all real numbers

6 0

3 years ago

Read 2 more answers

How do i solve (2b - 10d) - (-4b)

lisov135 [29]

Answer:

this is all I got for u look at my attachment

8 0

3 years ago

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Please help explanation if possible

stira [4]

Answer:

$y = 2x + 7$

Step-by-step explanation:

Use Point Slope Form since we are given the slope and coordinates. Why is the slope 2x?

 In Depth: Parallel lines never touch so they are Lines that have same slope but different y intercept. An example is a square. A square has four parallel sides. The upper and lower sides will never touch because they are the same slope and they both have a finite distance vertically between them.

Back to the question, let use the Point Slope Form,