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shusha [124]
3 years ago
11

Let f(x) = x2 - 1 and g(x) = 2x - 3. Find the new function and write it in simplest form

Mathematics
1 answer:
yawa3891 [41]3 years ago
3 0

Answer:

Option C is the correct answer

{x}^{2}  + 2x - 4

Step-by-step explanation:

f(x) =  {x}^{2}  - 1 \\ g(x) = 2x - 3 \\ (f + g)(x) = f(x) + g(x) \\ (f + g)(x) = {x}^{2}  - 1 +  2x - 3 \\ \purple{ \boxed{ \bold{ (f + g)(x) =  {x}^{2}  + 2x - 4}}}

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At the time she had $237 ,the cost of a lesson rose to &19.how many lesson can she pay for with remaining &237
ad-work [718]
12.5, just divide 237 by 19
8 0
3 years ago
Find the area of the shape shown below.​
Tamiku [17]

Answer:

28 square units.

Step-by-step explanation:

Let us divide the shape into two rectangles and a right triangle. The resulting composite figure is attached.

As we see in the figure the area A_T of the triangle is

A_T= \frac{1}{2} (2)(4)=4\: units^2.

The area A_{r1} of the bigger rectangle is (it's actually a square )

A_{r1}=4*4=16\:units^2,

and the area of the smaller rectangle is

4*2 =8\:units^2.

Therefore, the total area A_{tot} of the shape is

A_{tot}= A_T+A_{r1}+A_{r2}

A_{tot}= 4\:units^2+16\:units^2+8\:units^2

\boxed{A_{tot}=28 \:units^2}

5 0
3 years ago
Read 2 more answers
Please what’s the answer?… I really need help
AfilCa [17]

\sqrt[3]{x + 1}  = 2

Let us cube both sides.

=  >  (\sqrt[3]{x + 1} ) ^{3}  =  {2}^{3}

Now, it will be only x + 1.

=  > x + 1 = 8

Transpose 1 to the Right Hand Side.

=  > x = 8 - 1

Now, subtract.

=  > x = 7

<u>Answer</u><u>:</u>

x = 7

Hope you could understand.

If you have any query, feel free to ask.

3 0
2 years ago
Jenna had 45 yards of yarn. She used 1/5 of it for a kitting project. How much yarn did she use
erastovalidia [21]
You want to divide 45 by 5.

45/5= 9

She used 9 yards of yarn for her knitting project.

I hope this helps!
~kaikers
5 0
3 years ago
Read 2 more answers
What is the exact value? (Picture provided)
creativ13 [48]

Answer:

b.  (√15)/4

Step-by-step explanation:

Since Sin Ф = (opposite side)/Hypotenuse, we have 2 sides of a right triangle.  

Use Pythagorean theorem to solve for the missing leg (the adjacent side)

 1² + b² = 4²

    1 + b² = 16

            b² = 15

                 b = √15

So the adjacent side is √15, so Cos Ф = (√15)/4

6 0
3 years ago
Read 2 more answers
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