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ElenaW [278]
4 years ago
8

The function f is defined by f(x)=3x+2. Find f(a-4).

Mathematics
2 answers:
Solnce55 [7]4 years ago
7 0

Answer:

3a-10

Step-by-step explanation:

<h2>MAYBE IT HELPS</h2>
Rufina [12.5K]4 years ago
5 0

Answer:

<em>f(a - 4) = 3a - 10</em>

Step-by-step explanation:

As given, we have here, an original equation: f(x) = 3x + 2.

To work out f(a - 4), we substitute x = a - 4 into original equation.

f(a - 4) = 3(a - 4) + 2

We apply the distributive property to keep going.

f(a - 4) = 3a - 3*4 + 2

We perform the multiplication of 3 and 4.

f(a - 4) = 3a - 12 + 2

We perform the addition of (-12) and 2 to finalize the answer.

f(a - 4) = 3a - 10

This is the final answer

I hope this helps!

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Janet is three years older than her sister julie. Janet’s brother is eight years younger than their sister Julie. The sum of all
SOVA2 [1]

Answer:

Julie is 20

Janet is 23

Their brother is 12

Step-by-step explanation:

20+23+12=43+12=55

8 0
3 years ago
Given the system of equations, what is the y-coordinate of the solution?5x - 4y = 7x = 5 - y
sveticcg [70]
5x - 4y = 7
x = 5 - y

5(5 - y) - 4y = 7
25 - 5y - 4y = 7
-5y - 4y = 7 - 25
-9y = - 18
y = -18/-9
y = 2 <== y coordinate is 2

6 0
3 years ago
kaitlyn read 24 pages of a book, logan reads 3 times as many pages as kaitlyn. Which equation can be used to find the total numb
tia_tia [17]

Kaitlyn: 24

Logan: 24*3

Equation: 24*3=x

Simplify: x=72

Answer: 72 pages

8 0
3 years ago
Read 2 more answers
the surface area of a sphere is 1,017.36 square inches.what is the volume of the sphere? use 3.14 for pi
emmasim [6.3K]

Answer:

<em>Area = 254.34 inches ³</em>

Step-by-step explanation:

The formula to find the surface area of a sphere is:

SA = 4\pi r^{2}

To find the volume of the sphere, we first need to figure out the radius (r) of the sphere. We can accomplish this by reversing the formula that was used to find the surface area. (1017.36 in^{2})

SA = 4\pi r^{2}

1017.36 = 4\pi r^{2}

Divide both sides by pi (3.14).

1017.36 = 4\pi r^{2}

324 = 4 r^{2}

Divide both sides by 4.

324 = 4 r^{2}

81 = r^{2}\\

Find the square root of both sides.

81 = r^{2}\\

\sqrt{81} = r

<em>radius = 9</em>

<em />

Insert the value of the radius into the formula for finding the volume of a sphere. (A=\pi r^{2})

(A=\pi r^{2})

A=\pi (9)^{2}

A=\pi (81)

A = 254.34

<em>Area = 254.34 inches ³</em>

<em />

~Hope this helps!~

4 0
3 years ago
Can someone please explain how the answer is D
Kitty [74]

Step-by-step explanation:

Because the length of ST is calculated using pythagorean theorem:

{c}^{2}  =  {a}^{2}  +  {b}^{2}

Where the square of the hypotenuse is equal to the sum of squares of the other two sides of a right triangle. In this case, the hypotenuse is ST and the other two sides are distances between S and T over the X and Y axis. Those are easily calculated:

x =  |sx - tx|  \\ y =  |sy - ty|

Where x is the distance between S and T over X axis and Y distance over Y axis, sx and tx are X coordinates of S and T, sy and ty are Y coordinates of S and T.

Using that formula, you get that y = 17 and x = 8.

Back to the pythagorean theorem, if we put those number in the formula of the pythagorean theorem, we get something like this:

{c}^{2}  =  {x}^{2}  +  {y}^{2} \\  {c}^{2}  =  {8}^{2}  +  {17}^{2} = 64 + 289  \\  {c}^{2}  = 353 \\ c =  \sqrt{353}

And finally, the correct answer is in fact 353.

3 0
3 years ago
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