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Andrej [43]
3 years ago
12

Find f(-2) for f(x)= 5 times 3^x

Mathematics
1 answer:
kati45 [8]3 years ago
3 0

f ( - 2 ) = 5 × 3^( - 2 )

f ( - 2 ) = 5 × ( 1 / 3^2 )

f ( - 2 ) = 5 × ( 1 / 9 )

f ( - 2 ) = 5 / 9

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Novay_Z [31]
What is confusing???
7 0
3 years ago
An automobile went 84 miles on 6.5 gallons of gasoline. At this rate, how many gallons would be needed to travel 126 miles
luda_lava [24]

Answer:

10 gallons

Step-by-step explanation:

84 ÷ 6.5 =12.9(The unit rate.)

Seeing as one gallon can get you 12.9 miles;

126÷12.9=9.7

So the answers 9.7 gallons, but if you need to round, then 10 to get a whole number.

4 0
3 years ago
Read 2 more answers
Katie is buying souvenir.gifts for her big family back home. She wants to buy everyone either a key chain or a magnet. The magne
NikAS [45]
The total number of gifts = x+y.
The inequality is:
x+y  \geq 24

Key chains cost $1, Magnets $0.50
Total Cost = x + 0.5y
Inequality is:
x+0.5y  \leq 20

Without graphing you can solve system by using substitution:
y = 24 - x  \\  \\ x + 0.5(24-x) = 20   \\  \\ 0.5x +12 = 20  \\  \\ x = 16 \\  \\ y = 24-16 = 8

This is one solution where the maximum x value is given.
So the most keychains that can be purchased is 16. However, because magnets are cheaper, more can be purchased as long as cost remains under 20.

If you solve both inequalities for "y", you get the upper and lower bounds for how many magnets can be purchased given a quantity of keychains.

24-x  \leq y  \leq 40 -2x \\  \\ x \leq 16

This is complete solution which gives all possible combinations.
(Graph is Attached)

6 0
3 years ago
Determine whether the function below is an even function, an odd function, both, or neither.
kari74 [83]
All of the powers of x here are even, so the function f(x) is even.  Note that 19 = 19x^0 = 19(1) = 19

6 0
3 years ago
I need help finding the y-intercept of these, I am no good with slope and tables. ;-;
zubka84 [21]

Answer:

1. -4

2. 6

3. -6

(i hope this is right •_•)

Step-by-step explanation:

<u>First table</u>

When the x coordinate is 0, that point is your y intercept. For the first one, your y intercept is -4.

<u>Second table</u>

For the second one, we need to do a bit of counting. We can see the x coordinates go before and after zero, but the table does not show us 0. So, we're going to have to calculate the slope. Bear with me here, I'm a little tired and this might be rambling ;-;

So, the formula for calculating slope is \frac{y_{2} -y_{1}}{x_{2}-x_{1}}. I'm going to use those first two points to get my slope. We're going to say the first point is point 1 and the second point is point 2 (genius, i know lol). So, let's substitute in the x and y values.

\frac{9-12}{-3-(-6)}

And simplify...

\frac{-3}{3}

So, your slope is -1. We can use that. We just have to count down.

If the x is -2, the y is 8. If the x is -1, the y is 7. And if the x is 0....(drumroll please) the y is 6! So, your y intercept is 6.

<u>Third table</u>

Now, this table isn't very nice either and doesn't have an x as 0 for us. Hmpf. But we can still do what we did above. I'll just skip the explanation and you can observe my steps.

\frac{-3-(-5)}{9-3}

\frac{2}{6}

\frac{1}{3}

Let's count down....

If x = 3, y = -5

If x = 2, y = -5 1/3

If x = 1, y = -5 2/3

If x = 0, y = -6

8 0
3 years ago
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