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Mice21 [21]
3 years ago
13

Factor the trinomial x^2- 5x- 36 Which of the following is one of the factors?

Mathematics
2 answers:
JulijaS [17]3 years ago
5 0

Answer:

Final factor is (x-9)(x+4)

Step-by-step explanation:

Given expression is x^2- 5x- 36.

Now we need to factor that expression

x^2- 5x- 36

Find two numbers whose product is -36 and sum is -5.

Two such numbers oare -9 and +4. So we get:

=x^2- 9x+4x- 36

=x(x-9)+4(x-9)

=(x-9)(x+4)

Hence final factor is (x-9)(x+4)

bekas [8.4K]3 years ago
3 0

Answer:

(x-9) (x+4)

Step-by-step explanation:

x^2- 5x- 36

What two numbers multiply to -36 and add to -5

-9*4 = -36

-9+4 = -5

(x-9) (x+4)

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The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000
valina [46]

Answer: 61,750 miles

Step-by-step explanation:

Given : The p-value of the tires to outlast the warranty = 0.96

The probability that corresponds to 0.96 from a Normal distribution table is 1.75.

Mean : \mu=60,000\text{ miles}

Standard deviation : \sigma=1000\text{ miles}

The formula for z-score is given by  : -

z=\dfrac{x-\mu}{\sigma}\\\\\Rightarrow\ 1.75=\dfrac{x-60000}{1000}\\\\\Rightarrow\ x-60000=1750\\\\\Rightarrow\ x=61750

Hence, the tread life of tire should be 61,750 miles if they want 96% of the tires to outlast the warranty.

3 0
3 years ago
A: 1/2 inch <br> B: 1 inch <br> C: 2 inches<br> D: 1/32 inch
mote1985 [20]
The expression of the height is

a_n=8\cdot (\frac{1}{2})^{n-1}

the index "n" is the numbers of times that the ball is down, to n=1 the height is 8 inches, to n=2 the height is 4 inches.

An when n=5, the height is

a_5=8\cdot (\frac{1}{2})^{5-1}=8\cdot (\frac{1}{2})^4=\frac{1}{2} =0.5

the anwers is 0.5 inches
4 0
3 years ago
Find the solution by graphing the equations pls help
lilavasa [31]

Answer:

graph these
y = 2x + 2
y = 2x - 3

Step-by-step explanation:

2x - y = -2
2x - y = 3

convert to y intercept form
first
2x - y = -2
-y = -2x - 2
y = 2x + 2
second
2x - y = 3
-y = -2x + 3
y = 2x - 3

you are left with
y = 2x + 2
y = 2x - 3
i cannot graph these for you, but i assume you know how, there is no solution because the lines are parallel

4 0
2 years ago
Please help me if you can​
Mekhanik [1.2K]

Answer:

1)-9x^5 + 7x^2 + 3    2)  -2x2 • (x - 7)      3)  -23v^2 + 7v + 4    4) is just 7x

7 0
3 years ago
If a car traveling at 75 mph west, changes its direction to east, does it accelerate?
antiseptic1488 [7]

Answer:

Yes, that's right, a change in the direction of motion results in an acceleration even if the moving object neither sped up nor slowed down. That's because acceleration depends on the change in velocity and velocity is a vector quantity — one with both magnitude and direction.

Step-by-step explanation:

8 0
3 years ago
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