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3 years ago

Which is a factor of x2 + 5x − 24?

Mathematics

2 answers:

Alex Ar [27]3 years ago

7 0

The factor is x-3 x+8 at

Ad libitum [116K]3 years ago

3 0

Answer:

(x−3)(x+8)

Step-by-step explanation:

The middle number is 5 and the last number is -24.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 5

Multiply together to get -24

Can you think of the two numbers?

Try -3 and 8:

-3+8 = 5

-3*8 = -24

Fill in the blanks in

(x+_)(x+_)

with -3 and 8 to get...

(x-3)(x+8)

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Write the equation of the line perpendicular to y=5/6x+2/3 that passes through the point (-3,5)

Anton [14]

Answer:

y=-6/5x+7/5

Step-by-step explanation:

1. Take opposite reciprocal of slope from 5/6 -> to -6/5

2. Plug in points with the new slope into point slope form and solve for slope intercept form. y=-6/5x+7/5

5 0

3 years ago

Suppose y varies directly as x, and y=14 when x=4. What is the value of y when x=9

Katena32 [7]

Given :-

y varies directly as x, and y=14 when x=4.

To Find :-

the value of y when x=9 .

Solution :-

According to Question ,

y = kx ( k is constant )

When y = 14 and x = 4 ,

14 = k(4)
k = 14/4
k = 7/2

When x = 9 ,

y = 7/2*9
y = 63/2
y = 31.5

8 0

3 years ago

A box stall is a square or rectangular enclosure that can house one or more animals. Derek wants to construct a square box stall

stepladder [879]

Your answer is 550000!!!

Hope this helped!!!XD

Also can I get brainiest?XD

4 0

3 years ago

ABC is an isosceles AB= 3x-4 and BC= 5x-10 what is AB?

kakasveta [241]

3x-4=5x-10
Subtract 3x from both sides
-4=2x-10
Add 10 to both sides
6= 2x
X= 3
3 times 3-4
AB=5

3 0

3 years ago

Read 2 more answers

Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 60 provided a sample mean of 19.5. The population stand

viva [34]

Answer:

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, $\bar{x}$ = 19.5

Sample size, n = 60

Alpha, α = 0.05

Population standard deviation, σ = 1.8

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 20\\H_A: \mu < 20$

We use One-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{19.5 - 20}{\frac{1.8}{\sqrt{60}} } = -2.151$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

5 0

4 years ago