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Travka [436]
4 years ago
13

Solve the equation 3x - 4y equals 16 for x​

Mathematics
1 answer:
kari74 [83]4 years ago
8 0

Answer:

x = 4/3y +16/3

Step-by-step explanation:

3x-4y = 16

Solve for x

Add 4y to each side

3x-4y+4y = 16 +4y

3x = 4y+16

Divide by 3

3x/3 = 4y/3 +16/3

x = 4/3y +16/3

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3 years ago
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the spoke of wheel reaches from the center of the wheel to its rim. If the circumference of the wheel is 42 inches, how long is
xz_007 [3.2K]
If each spoke reaches from the center of the wheel to its rim, then that means that each spoke is as long as the radius.

To calculate radius:

C=2πr

π=3.14
C=42 inches

42=2(3.14)r
2*3.14=6.28
42=6.28r

Divide 42 by 6.28

42/6.28=6.68

length of each spoke is 6.68 inches.
3 0
3 years ago
What is the area of the shaded region?<br><br> Answer: _____ mm^2
Deffense [45]
First we would find the area of the entire thing,

A=1/2(base)(height)
so A = 1/2(5)(12) = 30 mm^2

next we find the area of the smaller triangle,
A = 1/2(4)(3) = 6 mm^2

Then we subtract the area of the smaller triangle from the area of the larger one

30-6 = 24 mm^2
3 0
3 years ago
Express the function H in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions forf(x) and
wolverine [178]

Answer:

We know that:

H(x) = |1 - x^3|

and:

We want to write H(x) as  f( g(x) ) , such that for two functions:

So we want to find two functions f(x) and g(x) such that:

f( g(x) ) = |1 - x^3|

Where neither of these functions can be an identity function.

Let's define g(x) as:

g(x) = x^3 + 2

And f(x) as:

f(x) = | A - x|

Where A can be a real number, we need to find the value of A.

Then:

f(g(x)) = |A - g(x)|

and remember that g(x) = x^3 + 2

then:

f(g(x)) = |A - g(x)| = |A - x^3 - 2|

And this must be equal to:

|A - x^3 - 2| =  |1 - x^3|

Then:

A = 3

The functions are then:

f(x) = | 3 - x|

g(x) = x^3 + 2

And H(x) =  f( g(x) )

6 0
3 years ago
Write a linear equation that gives the rule for this table.
klio [65]

Answer:

y=24x

Step-by-step explanation:

(48-24)/(2-1)=24/1

24=24(1)+b

24=24+b

b=0

5 0
4 years ago
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