MATHEMATICS HIGH SCHOOL

Find the slope and the y-intercept of the graph of y + 1 = x.​
Find the slope and the y-intercept of the graph of - 1

Answers

Answer 1
Answer:

Answer: The slope is 4/3

Step-by-step explanation:

Whatever number is attatched to the "x" is the slope.
Answer 2
Answer:

Answer:

Slope: M = 4/3

Y-Intercept: : (0,−1)

Step-by-step explanation:

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Find the value of x that makes this a true statement (1/27)^x=3

Solve the following equations graphically. Verify the solution sets using the original equations.a. |x| = x2

Answers

Answer: x = 0 or x = 1

Step-by-step explanation:

The graphic solution is attached.

Verifying the solution

|x| = x²

x = -x²                                 or   x = x²

x does not exist                       x = 1 or x = 0

because x² is always +

A soft drink manufacturer produces 3120 cans in an 8 hour day. Cans are packaged 24 to a case. How many cases are produced each week? Each month? (Assume one week is 40 hours and one month is four weeks )

Answers

Week:  3120 x 5 = 15,600 cans ÷ 24 = 650 cases

Month: 650 x 4 = 2,600 cases

What best describes the solution 0=15?

Answers

no solution because 0 cant be equal to 15
0=15 is an absurd, what means that do not exist solutions for the equation

The following table shows the expressions that represent the sales of 4 companies:Company A B C D

Sales 340(1.03)x 275(0.89)x 180(1.23)x 260(1.90)x


Rank the company sales by smallest to largest percent of increase and select the correct answer below.

A, B, C, D

A, D, B, C

B, A, C, D

C, B, D, A

Answers

Answer:

The correct option is C.

Step-by-step explanation:

A general exponential function is defined as

y=a(1+r)^x

Where, a is initial value and r is growth rate.

The sales of company A is

y=340(1.03)^x

It can be written as

y=340(1+0.03)^x

Therefore the initial sales of company A is 340 and percent of increase is 3%.

The sales of company B is

y=275(0.89)^x

It can be written as

y=275(1-0.11)^x

Therefore the initial sales of company B is 275 and percent of increase is -0.11%. It means sales decrease by 11%.

The sales of company C is

y=180(1.23)^x

It can be written as

y=180(1+0.23)^x

Therefore the initial sales of company C is 180 and percent of increase is 23%.

The sales of company D is

y=260(1.90)^x

It can be written as

y=260(1+0.90)^x

Therefore the initial sales of company D is 260 and percent of increase is 90%.

We have to rank the company sales by smallest to largest percent of increase.

-11\%<3\%<23\%<90\%

B<A<C<D

Therefore the correct option is C.
I think it might be (B), not for sure but it has to be (B)

What are the first three terms of the sequence a1 = 3 and an = 2(an-1)^2? I thought the answer was 3,18,32 but that's not an option! help????

Answers

Answer:

3,18,648

Step-by-step explanation:

We are asked to find out the first three terms of the sequence.

Recurring formula is given as

a_(n) =2(a_(n-1) ^2)

Since I term = 3

a_(2) =2(a_(1))^2=2(3^2)=18

Applying the same rule,

third term

=a_(3) =2(a_(2))^2\n=2(18^2)\n=648

Like this we can find out any number of terms using this recursive formula
a1=3
a2=2(3^2)=18
a3=2(18^2)=648

how do I figure out the weight loss of tina? she lost 3 pounds on the first week of her diet. she gained a pound on the second week, and then lost 2 pounds a week during every week afterwards. she has been dieting for a total of 13 weeks. how many pounds has tina lost in all?

Answers

1st week - Lost 3 pounds = +3 
2nd week - Gained 1 pound = -1    
3+13 = + 22       

So 22+3 = 25                 25-1 = 24 

So Tina lost 24 pounds in 13 weeks. 
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