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svp [43]
4 years ago
6

If f(x)=3x^2-9 and g(x)=x^2+1 find (f+g)(x)

Mathematics
1 answer:
givi [52]4 years ago
5 0

Answer:

4x^2 -8

Step-by-step explanation:

f(x)=3x^2-9

g(x)=x^2+1

(f+g)(x)=3x^2-9 +x^2+1

Combine like terms

           = 4x^2 -8

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How many triangles exist with the given angle measures? 45 45 90
WARRIOR [948]

Answer:

Infinitely many

Step-by-step explanation:

for example,

a triangle of 1 - 1 - \sqrt{2} is  45 - 45 - 90 based on the 45-45-90 triangle theorem

if I multiply the three side lengths listed above by the same number, I will still have a 45 -45 -90 because of the definition of similar triangles

8 0
3 years ago
Read 2 more answers
PLEASE HELP ME ASAP! ANYONE THATS WILLING TO GIVE THE RIGHT ANSWER.
pantera1 [17]

Answer:

<em>The perimeter of the bedroom floor is 44 ft</em>

Step-by-step explanation:

<u>The Perimeter of a Rectangle</u>

Given a rectangle of width W and length L, the perimeter is the sum of all four sides:

P = 2W + 2L

We know a rug of dimensions 6 ft x 10 ft is located at the center of a bedroom floor and there are 1.5 ft exposed on all four sides of the bedroom.

Adding this length to each side, we have the dimensions of the bedroom as:

6 + 1.5 + 1.5 = 9 ft

10 + 1.5 + 1.5 = 13 ft

Thus, the perimeter of the bedroom floor is:

P = 2*9 + 2*13 = 44 ft

The perimeter of the bedroom floor is 44 ft

6 0
3 years ago
What is the interquartile range of 45,60,40,90,60,50,75,120,90
puteri [66]
IQR = 40

1) Put the numbers in order: 40, 45, 50, 60, 60, 75, 90, 90, 120
2) Find the median: Median is 60 (the 2nd one)
3) Place parentheses around the numbers above and below the median. For easy identification of Q1 and Q3. (40, 45, 50, 60,) 60, (75, 90, 90, 120)
4) Find the Q1 and Q3. Q1 = median of the lower half of the data; Q3 = median of the higher half of the data. Q1 and Q3 have even sets so its median cannot be defined.
5) Had both sets contain odd sets, the median of Q1 is subtracted from the median of Q3 to get the IQR.

We can then use the Alternative definition of IQR.
IQR is the difference between the largest and smallest values in the middle 50% of a set data.

40, 45, 50, 60, 60, 75, 90, 90, 120

Middle 50% is 50, 60, 60, 75, 90; IQR = Largest value - smallest value;

IQR = 90 - 50 = 40



5 0
3 years ago
Is 5 1/4 / 3 1/2 the same as 3 1/2 / 5 1/4? Explain.
yan [13]

No it is not the same because you can not reverse division problems the same way you can with multiplication.

5 1/4 / 3 1/2 is asking how many times 3 1/2 can go into 5 1/4. The answer to this would be 1.5

3 1/2 / 5 1/4 is asking how many times 5 1/4 can go into 3 1/2. The answer to this would be .667

3 0
4 years ago
Solve the following system of linear equations algebraically.<br> 3x + y = 5<br> 5x – 4y = -3
Korvikt [17]

3x+y=5 & 5x-4y=-3

3x+5x=8x+y-4y=-3

           8x+y-4y=-3

     8x+3y=-3

         -3     -3

8x=-6

3 0
2 years ago
Read 2 more answers
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