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3 years ago

7

Peter used a $5.00 gift certificate to help pay for his lunch. After adding a 15% tip to the cost of his meal, Peter stil had to

pay $2.36 in cash. How much did Peter's meal cost?

1 answer:

pochemuha3 years ago

5 0

He paid 2.71 because a 15% tip of $2.36 bill is 35 cent

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Compare and Contrast Graph y = 2x + 5 and y=-13x+5. Describe how these lines are alike and how they are different. *

krek1111 [17]

Here are a couple I found:

<u>Similarities</u>:

They have the same y-intercept of (0,5).
They are both in slope-intercept form.

<u>Differences</u>:

The line of y = -13x + 5 "falls" from left to right. The line of y = 2x + 5 "rises" from left to right.
They have different x-intercepts. (y = 2x + 5 intersects (- $\frac{5}{2}$ , 0) while y = -13x + 5 intersects at ( $\frac{5}{13}$ , 0)

<u></u>

<u>Explanation</u>:

Slope-intercept form is y = mx + b, and by looking at the equations, they both already fit that format, with m as their slope and b as their y-intercept. Also, since they both have a 5 as that "b," their y-intercepts are the same: (0,5).

As for differences, we can see that the coefficient in place of that "m" is positive in y = <u>2x</u> + 5 and negative in y = <u>-13x</u> + 5. Therefore, one line would rise due to their slope being positive and one would fall due to their slope being negative. They also have two different x-intercepts, which we can calculate by substituting 0 in place of the y, then isolating x.

4 0

3 years ago

BRAINLIESTTT ASAP! PLEASE HELP ME :)

GrogVix [38]

Answer:

<u>1. Type of function</u>: absolute value function

<u>2. The three transformations from the parent function f(x) = |x| are</u>:

Translation 3 units to the left
Vertical stretch with a scale factor of 2
Translation 5 units downward

Explanation:

<u>1. Type of function</u>

The parent function |x| is the absolute value function. It returns the positive value of the argument (x).

Thus the function f(x) = 2|x + 3| - 5 is also an absolute value function.

It returns the positive value of x + 3, then multiplyes it by 2, and finally subtract 5.

This is a piecewise function.

For the values of x ≥ - 3, the output is 2(x +3) - 5 = 2x + 6 - 5 = 2x + 1.

For the values of x < - 3, the output is 2 (-x - 3) - 5 = -2x - 6 - 5 = -2x - 11.

The vertex of this function is at x = - 3: 2 (- 3 + 3) - 5 = 2(0) - 5 = 0 - 5 = 5.

Thus the vertex is (-3, 5).

<u>2. Transformations from the parent function f(x) = |x|</u>.

When you know the parent function and the daughter function you can know the transformations done of the former to get the later by some simple rules.

a)<u> Translation in the horizontal direction</u>.

When you add a positive value to the argument the function is translated to the left.

Thus, when you add 3 to x, |x| becomes |x + 3| and it is a translation 3 units to the left.

b) <u>Vertical stretch</u>

When you multiply the argument by a constant, the function stretches vertically.

Thus, when you multiply |x + 3| by 2, to get 2|x + 3|, the function is vertically stretched by a scale factor of 2.

c) <u>Vertical translation</u>

When you subtract a constant value from the function, you translate it downward.

Thus, when you subtract 5 from 2|x + 3| - 5, you translate the function 5 units downward.

6 0

3 years ago

I need help! This is Geometry lesson 8-3 ! Please help me asap!!!!

gulaghasi [49]

If you learned about the 45-45-90 triangle (which is isosceles), then the faster way is to know that the hypotenuse (side opposite of right angle) is √2 times either one of the sides.
3√2 = (√2)x
x = 3

But if you didn't learn the 45-45-90 triangle yet, that's ok.
Recall the trigonometric ratios for right triangles: sine (sin), cosine (cos), tangent (tan).

If your angle is x, then
sin(x) = opposite side / hypotenuse
cos(x) = adjacent side / hypotenuse
tan(x) = opposite side / adjacent side

Remember the hypotenuse is the side opposite and across from the right angle (3√2 in this case).
An acronym to remember this is SohCahToa.

In this problem, the angle given is 45°, and you need to find the length of the adjacent side x. The hypotenuse is also given as 3√2.

Because we have the adjacent side and the hypotenuse, we use cosine to relate those two sides
cos(45°) = x / (3√2)
x = (3√2)cos45°
If you plug this into your calculator (in degree mode), then
x = 3

8 0

3 years ago

The number 20 is less than the diffence of 4 times 8

valina [46]

Answer:

12

Step-by-step explanation:

4 times 8 =32, 32 - 20= 12

8 0

3 years ago

The scale factor rounded to the nearest tenth.

mrs_skeptik [129]

Hey there! :)

In the big square, the side length is 3, and in the small one, it's 1

Big to Small = 1/3

1/3 = 0.3333 = 0.3

Your answer is 0.3

Hope this helps :)

5 0

3 years ago