MATHEMATICS HIGH SCHOOL

4/3 x −4 = 5 + x Help me please!A) 0.5
B) 2
C) 18
D) 27

Answers

Answer 1
Answer:

Answer:

The answer is D.

Step-by-step explanation:

4/3 x - 4 = 5 + x

4/3 x = 9 +x

1/3 x = 9

x = 27
Answer 2
Answer: D) 27

4/3(27) - 4 = 32
27 + 5 = 32

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What is the expression in factored form?3x^2 + 18x + 24

a. 3(x+2)(x+4)
b. 3(x-2)(x+4)
c. 3(x-2)(x-4)
d. 3(x+2)(x-4)

Answers

Answer:

Choice a is correct answer.

Step-by-step explanation:

Given expression is :

3x²+18x+24

We have to represent above expression in factored form.

As we have noticed that the expression contains the multiples of 3.

taking 3 as common from given expression,we get

3(x²+6x+8)

Now, spit the middle term of above expression so that the product of two terms should be 8 and their sum be 6.

3(x²+4x+2x+8)

Making two groups and taking two terms as common,we get

3(x(x+4)+2(x+4))

Taking (x+4) as common,we get

3(x+4)(x+2) which is the factored form of 3x²+18x+24.

Answer:

\boxed{a.\:\:3(x+2)(x+4)}

Step-by-step explanation:

The given expression is

3x^2+18x+24


We factor 3 to obtain;

3(x^2+6x+8)


We split the middle term to obtain;

3(x^2+4x+2x+8)


=3[x(x+4)+2(x+4)]

We factor further to get;

=3(x+4)(x+2)

Which question is best modeled with a division expression?How far can you travel using Three-fourths gallon of gas in a car that gets 18 miles per gallon?
How far can you travel in a car driving at an average rate of 52 miles per hour for Three-fourths hour?
How fast are you driving, in miles per hour, if you travel 18 miles in Three-fourths hour?
How fast are you driving if you travel at Three-fourths the speed of a car moving at 52 miles per hour?

Answers

Answer:

How fast are you driving, in miles per hour, if you travel 18 miles in 3/4 hour?

Step-by-step explanation:

I have just taken the quiz and its correct.

Which of the following is true about a nonlinear function?It has a constant rate of change.
It can be curved.
It looks like a straight line.
It must cross the origin.

Answers

it is not straight and does not always pass through 0,0
so A, C, and D are incorrect.

Look up nonlinear function, and it shows a curved line.

The answer is B. It can be curved.

Answer:

All you had to know to get this right is that a Linear Function is a straight line and a Nonlinear Function has a curve to it :)

~Hope this helped.

Let f(x) = 7x - 13. Find f-1(x).

Answers

f(x)=7x-13 \n \n y=7x-13 \ \ \ |+13 \ny+13=7x \ \ \ |/ 7 \nx=(1)/(7)y+(13)/(7) \n \n\boxed{f^(-1)(x)=(1)/(7)x+(13)/(7)}

JoAnne is depositing money into the bank account.After 3 months there is $150 in the account.After 6 months, there is $300 in the account.Find the constant rate of change of the account.

Answers

The constant rate of change for the account is +50.
If JoAnne started off with $150 at three months, she would go up by $50 each month after that to get to 300.
Month 4: 150+50=200
Month 5: 200+50=250
Month 6: 250+50=300

Answer:

I believe that it is 150 per month but im not sure

Step-by-step explanation:

150 * 3 = 300

A motorcycle travels 62 miles in twohours. At this rate, how many miles will
the motorcycle travel in 3 hours?

Answers

Answer:

93

Step-by-step explanation:

62/2=31

31x3=93

Answer:

93 miles

Step-by-step explanation:

62 miles/2 hours= 31 mph

31+62= 93 miles
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