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LiRa [457]
4 years ago
12

Given that f(x)=3x+5 and g(x)=x^3, find (f ° g)(-2)

Mathematics
1 answer:
grin007 [14]4 years ago
3 0
Equal f(g(-2))
=f(-8)
= -19
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3x - 5y = 15<br> x - 4y = 12<br> Substitution method
Scorpion4ik [409]

Answer:

x=0,y=-3

Step-by-step explanation:

3x-5y=15 - equation(1)

x-4y=12 => x=12+4y -equation (2)

Replace equation (2) in equation (1)

3(12+4y)-5y=15

36+12y-5y=15

7y=15-36

7y= -21

y = -21/7

y=-3

If y=-3,then replace in equation (1) ; 3x -5(-3)=15

3x+15=15

3x=0

x=0

4 0
3 years ago
John received $9,000 in student loans. Part of the money he was able to borrow at 7% simple interest, but on the rest of the mon
lidiya [134]
He borrowed "a" at 7% and "b" at 8.25%

now, whatever "a" and "b" are, we know, his student loan was 9000, thus
a+b = 9000

now, he owes 7% or 7/100 for "a", what's 7% of a? well, 7/100 * a or 0.07a

he owes 8.25% of "b", how much is 8.25% of b? well, 8.25/100 * b or 0.0825b

now, we know, at the end of the year, he owed for both loans, 706.25 in interest
thus we know that 0.07a + 0.0825b = 706.25

thus   \bf \begin{cases}&#10;a+b=9000\implies \boxed{b}=9000-a\\&#10;0.07a+0.0825b=706.25\\&#10;----------\\&#10;0.07a+0.0825\left(\boxed{9000-a}  \right)=706.25&#10;\end{cases}

solve for "a", to see how much he borrowed at 7%

what about "b"? well, b = 9000-a
6 0
3 years ago
Graph the equation y= 1/2x +3
PolarNik [594]
Find some graphing paper and graph away..
i.e. Sub in x = 0 and find what y = ?
y = 1/2(0) + 3
y = 3
So we know the coordinate (0,3)

When x = 4 , y = ?
y = 1/2(4) + 3
y = 4/2 + 3
y = 2 + 3
y = 5
So we know another coordinate (4, 5)

When x = -4, y = ?
y = 1/2(-4) + 3
y = -4/2 + 3
y = -2 + 3
y = 1
So we know another coordinate (-4, 1)

Putting it all together, the coordinates: (-4, 1) , (0, 3) and (4, 5) should be plenty sufficient to graph and then draw a line of best fit connecting them.
4 0
3 years ago
1. A student invests $500 in a savings account that earns 4% interest per
bixtya [17]

Answer:

The equation can be used to determine the amount of money S(t)  that her savings account has after t years is S(t)=500(1.04)^t

Step-by-step explanation:

A student invests $500 in a savings account

Principal = $500

Rate of interest = 4% = 0.04

We are supposed to find equation can be used to determine the amount of money S(t)  that her savings account has after t years

Formula : A=P(1+r)^t

Where A is the amount after t years =S(t)

t = time

r = rate of interest in decimals =0.04

P = Principal=500

Substitute the value in the formula :

So, S(t)=500(1+0.04)^t

S(t)=500(1.04)^t

Hence The equation can be used to determine the amount of money S(t)  that her savings account has after t years is S(t)=500(1.04)^t

6 0
3 years ago
You are making a flower arrangement. There will be 32 flowers in the arrangement. Roses cost $2 each and carnations are $1 each.
Debora [2.8K]
I think there are 25 roses and 7 carnations.

4 0
3 years ago
Read 2 more answers
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