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2 years ago

For what values of x is x2 + 2x = 24 true? –6 and –4 –4 and 6 4 and –6 6 and 4

Mathematics

1 answer:

alexgriva [62]2 years ago

9 0

Answer:

Option C

x²+ 2x -24=0

x²+6x-4x-24= 0

x(x+6) -4(x+6) = 0

(x+6)(x-4) = 0

x= -6 and 4

Therefore, for x = 4 and -6 , the above given equation is true.

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A firm has a revenue function that can be represented by r (x)=700x-0.35x^2, where r (x) is the total revenue (in dollars) and x

Fudgin [204]

Answer:

How many units need to be sold to produce the maximum revenue? 1000 units

How many in dollars is the maximum revenue when the maximum of units are sold? $350,000

Step-by-step explanation:

We get max value of a function if we differentiate it and set it equal to 0.

We need to differentiate r(x) and set it equal to 0 and solve for x.

That would be number of units sold to get max revenue.

Then we take that "x" value and substitute into r(x) to get the max revenue amount.

Before differentiating, we see the rules shown below:

$f(x)=ax^n\\f'(x)=n*ax^{n-1}$

Where

f'(x) is the differentiated function

Now, let's do the process:

$r (x)=700x-0.35x^2\\r(x)=700-2*0.35x\\r(x)=700-0.7x\\0=700-0.7x\\0.7x=700\\x=1000$

So, 1000 units need to be sold for max revenue

Now, substituting, we get:

$r (x)=700x-0.35x^2\\r(1000)=700(1000)-0.35(1000)^2\\r(1000)=350,000$

The max revenue amount is $350,000

5 0

2 years ago

Robin and Evelyn are playing a target game. The object of the game is to get an object as close to the center as possible. Each

Elan Coil [88]

Since the goal of the game is to have as few centimeters away as possible the lowest number 107 or Robin is winning

4 0

2 years ago

Read 2 more answers

PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!!

lorasvet [3.4K]

Answer:

x = 9

Step-by-step explanation:

The trick here is knowing that JKM and MKL are equal, which means MKL is equal to JKL/2. From that knowledge, we can solve.

MKL = JKL/2

5x + 1 = 46

5x = 45

x = 9

5 0

2 years ago

Read 2 more answers

You need to haul a load of patio bricks to a job site. each brick weighs 4 pounds 14 ounces. your truck can carry a 3/4-ton load

liq [111]

To answer this item, we must convert first one unit of measurement to the other to be able to perform some mathematical operation. Each ton is composed of 2000 pounds which means that 3/4 ton will be 1500 pounds. Each pound is 16 ounces. Thus, 4 pounds and 14 ounces is equal to 4.875 lbs. Dividing,
number of bricks = 1500 lbs / 4.875 lbs
= 307.7

Thus, the number of bricks that I need. Thus, the answer is approximatleu

6 0

2 years ago

A realty company looks at a recent sample of houses that have sold On testing the nul hypothesis that 57% of the houses take mor

Murrr4er [49]

Answer:

The correct option is: If 57% of the houses take more than three months to sell, there is a 2 6% chance that a random sample proportion would be as high as or higher than the one they obtained

Step-by-step explanation:

Consider the provided information.

The Null hypotheses is 57%,

$H_0: \mu=0.57\\H_a: \mu>0.57$

P-value is given as 0.026

Here P value represents the probability.

0.026 can be written as: 2.6%

Thus the conclusion is:

If 57% of the houses take more than three months to sell, there is a 2 6% chance that a random sample proportion would be as high as or higher than the one they obtained.

Hence, the correct option is: If 57% of the houses take more than three months to sell, there is a 2 6% chance that a random sample proportion would be as high as or higher than the one they obtained

7 0

2 years ago