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3 years ago

Given that f(x) = 6x + 2 and g(x) =2x+4 over 5 solve for g(f(1))

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

6 0

F(1)=6(1)+2
= 6+2
=8

g(f(1))= 2x/5 +4/5
= 2(8)/5 +4/5
= 16/5 +4/5
= 20/5
=4

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What is the equation of the line perpendicular to 6x-2y=3

andriy [413]

An answer to this would be y=- 1 over 3 x

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3 years ago

X^2 - y^2 = 100

luda_lava [24]

Answer:

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

$x+y=5$

Subtract y from both sides:

$x=5-y$

Now, substitute "5-y" for "x" in the first equation:

$(5-y)^2-y^2=100$

Note that:

$(a-b)^2=a^2-2ab+b^2$

$25-10y+y^2-y^2=100$

Cancel out like terms:

$25-10y=100$

Subtract 25 from both sides:

$-10y=75$

Divide both sides by -10

$y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}$

Now, substitute this value back into either of the equations to solve for x.

$x+y=5\\x-\frac{15}{2}=5\\$

Add 15/2 to both sides:

$x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}$

Now, find the difference:

$x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20$

8 0

2 years ago

Cost to store: $140

MrRa [10]

Answer:

175

Step-by-step explanation:

140

140/4=35

140+35=175

8 0

2 years ago

Find the area of the composite shape below<br> help me

Ivenika [448]

Answer:

743.13

Step-by-step explanation:

area of the rectangle is 33x11 which is 363 and there are two equal half circles so we can just pretend they are connected so the radius is 11 A=pi times $radius^{2}$ which is 380.13 then add both of them and you get 743.13

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2 years ago

Deangelo has $7 worth of dimes and quarters in a jar. He has 7 more quarters than dimes.

svlad2 [7]

D=number of dimes
q=number of quarters

let's count everything in cents
dimes are worth 10 cents
quarters are worth 25 cents

10d+25q=700
divide both sides by 5
2d+5q=140

he has 7 more quarters than dimes
q=7+d
subsitute 7+d for q in other equation

2d+5q=140
2d+5(7+d)=140
2d+35+5d=140
7d+35=140
minus 35 both sides
7d=105
divide both sides by 7
d=15

sub back

q=7+d
q=7+15
q=22

22 quarters and 15 dimes

3 0

3 years ago

Read 2 more answers