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wlad13 [49]
3 years ago
8

What effect does adding a constant have on a exponential function?

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
6 0
For any rational function, when you add a constant term, assuming it's x

Then your function will be shifted up by x units. 

Notice, if x is negative, then shifted up by negative number means shifted down by the absolute value
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2 less than the product of 5 and n
Deffense [45]

The product of 5 and n is written as 5n.

Two less than this product is 5n-2

7 0
3 years ago
Which expressions are equivalent to g + h + (j + k)? Check all that apply.
Paha777 [63]

Answer:

3.

{ \tt{g + h + (j + k)}} \\  = (g + h) + j + k

5 0
2 years ago
Read 2 more answers
12. Determine the slope of the line having the equation 2x + y = 12
Virty [35]

Answer:

b. -2

Step-by-step explanation:

Note the slope-intercept form: y = mx + b

Note that:

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

First, isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Subtract 2x from both sides of the equation:

2x (-2x) + y = (-2x) + 12

y = -2x + 12

Remember, m is the variable for the term that stands for the slope (directly next to the x variable). In this case, your answer will be -2

b. -2 is your answer.

~

4 0
3 years ago
Read 2 more answers
The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 6363 ​st
attashe74 [19]

Answer:

  • 1 bus, 72 vans
  • $6960 is the minimum cost

Step-by-step explanation:

A bus costs over $19 per student; a van costs less than $12 per student. The required number of students could be transported by 81 vans, but that requires 81 chaperones.

Since there are only 80, and a bus requires fewer chaperones per student, we can reduce the number of required chaperones to an acceptable level by employing one bus. 1 bus replaces 9 vans, and requires 1 less chaperone than 9 vans.

The minimum cost is 1 bus and 72 vans. That cost is $1200 +72×$80 = $6960.

3 0
3 years ago
Vance wants to determine if an old photo frame is still rectangular. The height of the frame is
sveticcg [70]

Answer:

<em>The old photo frame is still rectangular</em>

Step-by-step explanation:

<u>Rectangles</u>

The rectangle shape can be identified because it has 4 internal angles of 90° each. The diagonal forms with two adjacent sides a right triangle where the Pythagora's Theorem must stand. Being a and b the length of the sides of the rectangle and d the diagonal, then:

d^2=a^2+b^2

Vince's photo frame has dimensions of 8 inches and 6 inches, with a diagonal of 10 inches. If the above condition is met, then the frame is still rectangular.

Calculating:

10^2=6^2+8^2

100=36+64

100=100

Since the condition is met, the old photo frame is still rectangular

4 0
3 years ago
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