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4 years ago

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:

f(a - 4) = 3a - 10

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:

Area = 254.34 inches ³

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.

$81 = r^{2}\\$

$\sqrt{81} = r$

radius = 9

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

$(A=\pi r^{2})$

$A=\pi (9)^{2}$

$A=\pi (81)$

$A = 254.34$

Area = 254.34 inches ³

~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