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cricket20 [7]
3 years ago
9

Two functions, f and g, are represented by these function machines.

Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0

Answer:

x = -2

Step-by-step explanation:

Since we know they will have the same output, we can set them equal to each other in an equation. We'll use x to represent the input.

3x + 6 = 8(x + 2) (Given)

3x + 6 = 8x + 16 (Distributed the 8)

6 = 5x + 16 (Subtracted 3x on both sides)

-10 = 5x (Subtracted 16 on both sides)

-2 = x (Divided 5 on both sides)

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Julie wants to buy tulip bulbs to plant. Each bulb costs $0.50 plus a one-time $4.50 shipping cost. She has $22 to spend.
kumpel [21]

Answer:

0.50 x 4.50 = 69.42.00 and 22 = 47.420.00

Step-by-step explanation:

47.420.00

7 0
2 years ago
How is the sum expressed in sigma notation? <br> 1/64+1/16+1/4 + 1 + 4
shusha [124]

9514 1404 393

Answer:

  sum = ∑[n=1,5] 4^(n-4)

Step-by-step explanation:

First of all, you need to be able to describe the n-th term.

Here, we  have ...

  term #: 1, 2, 3, 4, 5

  value: 4^-3, 4^-2, 4^-1, 4^0, 4^1

That is, the exponent of 4 is 4 less than the term number. So, the n-th term is 4^(n-4). The sum of the 5 terms shown is then ...

  \displaystyle sum=\sum_{n=1}^5{4^{n-4}}

5 0
3 years ago
Where is (0,19) located? Quadrant I Quadrant II Quadrant III Quadrant IV X-axis Y-axis
12345 [234]
Let P(a, b) be a point on the coordinate plane. Then the following hold:


i) If a>0, b>0 then P is in the I.Quadrant.

ii) If a<0, b>0 then P is in the II.Quadrant.

iii) If a<0, b<0 then P is in the III.Quadrant.

iv) If a>0, b<0 then P is in the IV.Quadrant.

v) If a=0 and b is positive or negative, then P is on the y-axis.

vi) If b=0 and a is positive or negative, then P is on the x-axis.


Since we have: a=0, and 19 positive, then this point is on the y-axis.


Answer: y-axis
5 0
3 years ago
When an exponent is a negative number, we can think of it as taking the...?
STALIN [3.7K]

Answer:

We can think of it as the zeros after the decimal point.

Step-by-step explanation:

Negative exponents always move the number to the right putting the decimal in front of it.

5 0
3 years ago
What is the volume of a cylinder with base radius 333 and height 888?
ozzi

Answer:

V≈3.09×108

Step-by-step explanation:

Shape: Cylinder

Solved for volume

Radius: 333

Height: 888

Formula: Radius, Height

Exact answer: V≈3.09×108

<u><em>Hope this helps.</em></u>

4 0
3 years ago
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