If P = 3x2 – x + 2 and Q = x2 + 5x – 6, then P + Q =
Question 3 options:

A)

4x2 – 4x + 4


B)

4x2 + 4x + 4


C)

4x2 + 4x – 4

D)

4x2 – 4x – 4

Answer:

Option B: 4

Step-by-step explanation:

From the image, the correct function is;

f(x) = x³ -5x² - 8x + 48

Now, the x-intercept occurs when y = 0.

Thus;

x³ - 5x² - 8x + 48 = 0

So we are looking for values of x that will make y = 0.

Let's try the options;

Let's try x = -4;

(-4)³ - 5(-4)² - 8(-4) + 48 = -64 - 80 + 32 + 48 = -64 ≠ 0

So, x = -4 is not an x - intercept

Let's try x = 4;

(4)³ - 5(4)² - 8(4) + 48 = 64 - 80 - 32 + 48 = 0

So,x = 4 is an x-intercept

Let's try x = - 2;

(-2)³ - 5(-2)² - 8(-2) + 48 = -8 - 20 + 16 + 48 = 36 ≠ 0.

So, x = -2 is not an x-intercept.

Let's try x = 2;

(2)³ - 5(2)² - 8(2) + 48 = 8 - 20 - 16 + 48 = 20 ≠ 0

So, x = 2 is not an x-intercept

Answer:

A. $56,182

Step-by-step explanation:

$3131 x 14= $43834

$882 x 14= $12348

$43834 + $12348= $56,182

$56,182 x 1=  $56,182

Answer:

A. m<R, m<S, m<Q

Step-by-step explanation:

In a triangle, the length of each side determines the size of the angle opposite it. Thus, the longer the side, the bigger the size of the angle opposite it. The shorter the side, the smaller the size of the angle opposite it.

In ∆QRS, we have the following:

✔️The longest side is RS = 16. <Q is opposite to RS, therefore <Q is the largest angle.

✔️The medium side is QR = 15. <S is opposite to QR, therefore <S is the medium angle.

✔️The shortest side is SQ = 9. <R is opposite to SQ, therefore <R is the smallest angle.

From smallest to the largest we would have:

m<R, m<S, m<Q

Answer:

the slope is 4,3 and the y intercept is 2

Answer:

Niiger

Step-by-step explanation:

9514 1404 393

Answer:

  3/7 acres per hour

Step-by-step explanation:

To find acres mowed per hour, divide acres mowed by hours:

  (3/4 ac)/(1 3/4 h) = (3/4)/(7/4) ac/h = 3/7 ac/h

Ginger's unit rate is 3/7 acres per hour.

Answer: 3/7!

Step-by-step explanation:

Answer:

9.75

Step-by-step explanation:

Answer:

Closer to 1/2

Step-by-step explanation:

Half of 9 is 4.5 and 5 is .5 away from half and to make this 1 it needs to be 9/9 which is 4 away.

Answer:

1/2

Step-by-step explanation:

Half of 9 is 4.5/9, and 5/9 is closer to 4.5/9 than 9/9(or 1)

Answer: CHAA

Step-by-step explanation:

Answer:

Step-by-step explanation:

27. the sum of 2 complementary angles=90

8x-17+5x-10=90

13x=90+27

13x=117            x=9

28. the sum of supplementary angles=180

17x-12+3x-48=180

20x=180+60

20x=240

x=120

Answer: The radius is 12.54 feet, and the diameter is 25.08 feet.

Explanation: By applying the circumference into the equation r = [tex]\frac{C}{2\pi }[/tex], we get r = [tex]\frac{78.8}{2\pi }[/tex]which simplifies the radius. And since radius is half of diameter, we multiply by 2 to get the diameter as well to solve the other blank in the problem.

Hope this helps! :D

Answer:

84

Step-by-step explanation:

Let x = the test

(x + x + ( x - 6))/3=82

((3x - 6)/3) • 3= 82 • 3

3x - 6 + 6 = 246 + 6

3x = 252

3        3

x = 84

Answer:

28.91×10^48

hope it helps.

Because they both have the same exponent, just add the numbers together:

5.9 + 4.9 = 10.8

So now you have:

5.9 x 10^24 + 4.9 x 10^24 = 10.8 x 10^24

A scientific number can only have 1 number to the left of the decimal, so you need to move the decimal one place to the left. When you move the decimal to the left you add to the exponent.

The answer is: 1.08 x 10^25

Answer:

76 feet

Step-by-step explanation:

let 'd' = distance from bottom of cliff and ship

sin 37 = sin 53

    d           100

0.61 = 0.8

  d         100

cross-multiply:    61 = .8d

                            d = 76

I assumed the bottom of the cliff and the shore formed a 90 degree angle - which leaves the 37° angle and a 53° angle

Answer: 829 3/4 or 829 75/100

Step-by-step explanation:

Answer:

24x – 18

6(4x-3)is required factor.

Answer:

10.8

Step-by-step explanation:

8+14+18+6+8=54

54/5=10.8

Answer:

18

Step-by-step explanation:

The maximum number of push-ups that Justin did in a day this week was 18.

I also literally just did it

So I don't know why the guy above me has it correct, I mean someone said tysm so I guess he's correct ;/

Answer:

26-m I think hopefully this is correct

Answer: 990 lb

Step-by-step explanation:

t = (4 x 180) + (3 x 90)

t = 720 + 270 = 990

Answer:

Mean= 8.3

Standard deviation=7.8

Step-by-step explanation:

Answer:

10 (3 x - 1)

Step-by-step explanation:

Answer:

6 is equivalent as well as option 3

Step-by-step explanation:

HERE,

as,it is a right angle triangle,

x=[tex]\tt{\sqrt{8^2+6^2} }[/tex]

[tex]\tt{ x=\sqrt{64+36} }[/tex]

[tex]\tt{ x=\sqrt{100} }[/tex]

[tex]\tt{x=10km. }[/tex]

Answer:

yes this is correct

Step-by-step explanation:

Also so, the answer to this is; The volume of the prism is less than 72 cubic units.

Why is this the answer?

The actually cubic units for that is actually 54 cube units which if you think is;        54 < 72

Answer:

The volume of the prism is less than 72 cubic units.

Here's what I did:

6x3x3

Which is length x height x width or it can be the other way around it really doesn't matter I think

Answer:

Assuming that each coin is fair and is equally likely to land heads or​ tails, the probability is 3/4.

Answer:

-24

Step-by-step explanation:

You add -5

Hope this helps you :)

Answer:

67.2% or if your rounding to a whole number it’s 67%

Step-by-step explanation:

Move the dot (decimal) over 2 digits to the right —>