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MA_775_DIABLO [31]
2 years ago
11

The trip from Carville to Planesborough takes 4 1/2 hours when traveling at a constant speed of 70 miles per hour. How long, in

hours, does the trip take when traveling at a constant speed of 60 miles per hour?
Mathematics
2 answers:
gregori [183]2 years ago
5 0

Answer:

5h 15 min

Step-by-step explanation:

70 mph * 4,5 = 315 miles

315 / 60 = 5,25h

5,25h = 5 1/4h = 5h 15 min

Liula [17]2 years ago
3 0

Answer:

6.8

Step-by-step explanation:

i hope tis helps

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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
6) 2/3 is this a integer, whole number, or a rational number.​
AlekseyPX

Answer:

rational number

Step-by-step explanation:

8 0
3 years ago
Find the area of the polygon. Figure ABCDE is shown. A is at 6, 0. B is at negative 4, 5. C is at 2, 5. D is at 2, 9. E is at 6,
kondaur [170]

This question is incomplete. The attached image was obtained online

Answer:

41 square units

Step-by-step explanation:

Looking at diagram that was attached, we can see that the Polygon s the combination of a square and a triangle.

In square CDEF we have:

The lengths of the side of the square= 4 units

Hence, the area of square is: length ²

Area of square= 4²

=16 square units

Also, in ΔBFA we have:

The base of the triangle is calculated as

=6 + 4= 10 units

height of the triangle is: FA= 5 units

The formula for Area of a triangle = 1/2 × Base × Height

Hence, we have area of ΔBFA as:

= 1/2 × 10 × 5

Area= 25 square units

The Area of the Polygon = Area of the square + Area of the triangle

16 square units + 25 square units

= 41 square units

7 0
3 years ago
To be able to do the problem 5(10 + 4) mentally, Zack does 50 + 20 instead of 5(14).
Eddi Din [679]

Answer:

1. Distributive

Step-by-step explanation:

This is because you multiply the number outside the parentheses into the numbers inside the parentheses.

Hope it helped.

8 0
3 years ago
Read 2 more answers
Find x<br><br> show steps too please<br><br> will give brainliest
9966 [12]

Hello from MrBillDoesMath!

Answer:   x = 7/10

Discussion:

To eliminate fractions multiply each side by 10:

10 ( 9/5x - 2/5 )  = 10 * ( 8x +3)/10      or

10 * ( 9/5)x - 10 *(2/5)  =   8x + 3  or

9 *2 x - 2*2 = 8x +3   or

18x - 4 = 8x + 3.  Subtract 8x for each side:

18x - 8x - 4 = (8x - 8x) + 3 or

10x -4 =  0x + 3 or

10x -4 = 3 or

10x = 7

x = 7/10




Thank you,

MrB

7 0
3 years ago
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