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3 years ago

Which number line shows the solution set for StartAbsoluteValue 8 minus 2 p EndAbsoluteValue = 6?

Mathematics

1 answer:

Illusion [34]3 years ago

5 0

Answer:

A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.

Step-by-step explanation:

We have the equation:

|8 - 2*p| = 6

Remember that the equation:

|f(x)| = A

with A > 0

means that:

f(x) = A

f(x) = -A

Then for our case, we can rewrite:

|8 - 2*p| = 6

as:

(8 - 2*p) = 6

(8 - 2*p) = -6

Now we can solve these two equations to find the two possible values of p.

From the first one, we get:

8 - 2*p = 6

8 - 6 = 2*p

2 = 2*p

2/2 = p = 1

so one solution is p = 1

Now from the other equation, we can get the other solution:

(8 -2*p) = -6

8 - 2*p = -6

8 + 6 = 2*p

14 = 2*p

14/2 = p = 7

So the two solutions are p = 1 and p = 7

Then the correct option is:

"A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7."

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The cost of a table is 5 times the chair what is the price of chair if the total is 1050

vampirchik [111]

Answer:

the cost of the chair is 175.

Step-by-step explanation:

<em>if the chair is x, the table will be 5x</em>

now,

the equation formed will be,

5x+x = 1050

on solving,

6x= 1050

x= 1050÷6

x= 175

therefore, the cost of the chair will be x= 175.

and the cost of the table will be 5x= 5×175 = 875.

<h3>hope it helps!!</h3><h3>PLEASE MARK BRAINLIEST ♡</h3>

8 0

2 years ago

Mercedes would like to have an average of 88 in her math class. There are five assignments with the following grades : 85, 100,

vredina [299]

Answer: 80%

Step-by-step explanation:

To find the average, add all the grades and divide by the number of grades

sum of all grades/number of grades

85 + 100 + 88 + 80 + 95 + x/6

She wants to have an 88, so we can set the expression above equal to 88

448 + x/6= 88

Multiply by 6 on both sides

448 + x = 528

Subtract 448 on both sides

x=80

She needs to score at least an 80 to get an 88 average.

Hope this helped!

3 0

3 years ago

Points (2,7) ana (5,10).

Mrrafil [7]

Answer:

Below.

Step-by-step explanation:

3x + 5y = 15

Subtract 3x from both sides:

5y = -3x + 15

Divide through by 5:

y = -3/5 x + 3 <-----------slope-intercept form

4 0

3 years ago

If the angle is in standard position and P(x, y) is a point on the terminal side of , and r is the distance from the origin to P

Ghella [55]

Answer:

x^2 + y^2 = r^2

Step-by-step explanation:

See image. "An angle in standard position" means the vertex (point part) of the angle is at the origin (0,0). And one side of the angle is glued onto the x-axis. The other side of the angle is free to rotate around the axis. That's the terminal side. Then there's a point P (x,y) on that side. See image. And r is labelled there. This set up makes a right triangle. So I put Pythagorean theorem as the answer here, but honestly if you are learning any right triangle theorems or trigonometry, you could use this set up. The leg that lays along the x-axis is x units long and the other leg is y units long. The hypotenuse is r units long.

8 0

2 years ago

Howard bought 3/5 pounds of granola. He divided the granola evenly among 4 friends. How much granola did each friend get?

Alex17521 [72]

Answer:

(0.75) is the amount that each freind has.

Step-by-step explanation:

We see that Howard did NOT purchase not one pound of granola. Its only 60% of a pound. Therefore we'd do 60% divided by 4 and therefore get .75%. Each freind ate .75% of that granola.

6 0

3 years ago