MATHEMATICS HIGH SCHOOL

Please explain as best as you can :)

Answers

Answer 1

Answer:

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept → (0, b).

Read two points from the graph.

y-intercept = (0, 2) → b = 2

x-intercept = (-5, 0)

The formula of a slope:

$m=(y_2-y_1)/(x_2-x_1)$

Substitute:

$m=(0-2)/(-5-0)=(-2)/(-5)=(2)/(5)$

Therefore your answer is

$\boxed{C.\ y=(2)/(5)x+2}$

Answer 2

Answer:

Answer:

The best answer is C. y = 2/5x + 2

Step-by-step explanation:

You would start at point 2 then rise 2 units then run 5 units. (i got something else) but i went to desmos to make sure and it matched

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Solve the word problem below.Jane took out $135 from her checking account. If Jane now has a balance of $650 in her account, how much did Jane have in the account before she took out any money? Step 1: If x represents the variable in the word problem above, explain what the variable should represent. Step 2: Write an equation to model the situation. Step 3: Solve the equation and write your answer in sentence form. Show your work.
Estimate the angle of elevation from the trailhead to the summit.

Which is greater 11/16 or 3/4

Answers

To compare fractions, we need to have the same denominator
The least common multiple is 16
$(11)/(16)$
to change $(3)/(4)$ , we should multiply the numerator and denominator by 4
$(3*4)/(4*4)$ = $(12)/(16)$

$(11)/(16)$ < $(12)/(16)$

so basically, $(12)/(16)$ is greater than $(11)/(16)$
which means $(3)/(4)$ is greater

$(3)/(4)$ is greater

What is a rational number between the two given numbers?
8/13 and 7/10.

Answers

to find the rational number inbetween those 2 numbers you have to find the average, so 8/13 plus 7/10= 1.315384615384615, than divide that by 2 which equals 0.657692307692308 (0.658 rounded)

0.648 is the rational number inbetween 8/13 and 7/10

Sally needs to have some drywall and insulation work done in her house. She has received a quote from a professional drywall contractor to complete her repairs for $1,200. Her neighbor Steve says he can complete the same job for $800. Sally could use a credit card to pay the contractor, but Steve can only accept cash. Sally’s credit card has a 14% APR for credit purchases and a 32% interest rate for cash advances. Expecting to pay $50 of the principle plus appropriate interest each month, Sally estimates that it would take her 24 months to pay off the contractor balance and 16 months to pay off the cash advance balance. In the end, would it be cheaper for Sally to hire the contractor or her neighbor to complete the repairs?

Answers

Answer:

Sally can chose Steve to work with.

Step-by-step explanation:

We will calculate EMI for both the contractor and Steve.

Contractor:

EMI formula = $(p*r*(1+r)^(n) )/((1+r)^(n)-1 )$

p = 1200

r = 14/12/100=0.0116

n = 24

Putting values in formula we get,

$(1200*0.0116*(1.0116)^(24) )/((1.0116)^(24)-1 )$

= $57.62

So, for $1200 at 14% for 24 months, Sally would have to pay $57.62 per month, or 57.62*24 = $1382.88 after 24 months.

Steve:

Similarly putting these values : (p=800, r=32/12/100= 0.0266 and n=16) in above formula we get, $62.08 per month or 62.08*16= $993.28 after 16 months.

Hence, even with the higher interest rate, Sally would pay:

1382.88-993.28 = $389.60 less if she chooses to work with Steve.

Though the monthly payments are almost same for the given timelines, still Sally can chose Steve.

It said the correct answer was the contractor

You have a long-distance calling card with a remaining balance of $12.00. It costs $4.25 for the first 5 minutes and then an additional $0.40 for each additional minute. How many minutes do you have remaining on the card? Round your answer to the nearest whole number. A. 10 B. 16 C. 22 D. 17 E. 24

Answers

Final answer:

After subtracting the initial 5-minute cost from the total balance and dividing by the cost of additional minutes, you would have about 24 minutes remaining on your long-distance calling card when rounding to the nearest whole number.

Explanation:

To solve how many minutes you have remaining on your long-distance calling card, you'll first need to subtract the cost of the first 5-minute period from your total balance, which gives you $12.00 - $4.25 = $7.75.

Next, you would divide this amount by the cost of each additional minute which is $0.40. This calculation ( $7.75 / $0.40 ) results in a total of approximately 19.375 minutes.

Therefore, since you already have 5 minutes from the initial payment, you would add these two values together (5 + 19 = 24 minutes). But, according to the task you need to round your answer to the nearest whole number. As such, you can say you have approximately 24 minutes left on your card.

Learn more about long-distance calling card here:

brainly.com/question/31316357

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Final answer:

To determine the number of minutes remaining on the calling card, subtract the cost of the first 5 minutes from the remaining balance and divide by the additional cost per minute. You have approximately 19 minutes remaining on the calling card.

Explanation:

To determine the number of minutes remaining on the calling card, we need to subtract the cost of the first 5 minutes from the remaining balance and then divide the result by the additional cost per minute.

Subtract the cost of the first 5 minutes ($4.25) from the remaining balance ($12.00): $12.00 - $4.25 = $7.75.
Divide the result by the additional cost per minute ($0.40): $7.75 ÷ $0.40 ≈ 19.38 minutes.
Round the result to the nearest whole number: 19.38 ≈ 19 minutes.

Therefore, you have approximately 19 minutes remaining on the calling card.

Learn more about Calculating remaining minutes here:

brainly.com/question/33374760

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A coin is to be tossed until a head appears twice in a row. What is the sample space for this experiment? If the coin is fair, what is the probability that it will be tossed exactly four times?

Answers

Answer: $(2)/(16)$

Step-by-step explanation:

if the coin is tossed four times then the possible sample space is formed

$S=\left \{ HH, THH, HTHH, TTHH, HTTHH, THTHH, TTTHH, ...\right \}$

For the probability that the coin is tossed only four times is when

For tossing four times sample space is

S=( HHHH HHHT HHTH HHTT

HTHH HTHT HTTH HTTT

THHH THHT THTH THTT

TTHH TTHT TTTH TTTT )

out of the above required ones are HTHH,TTHH

so the probability is $(2)/(16)$

Find the equation of this line.

Answers

Answer:

9, 10, 7, 5

Step-by-step explanation:

(-4,5) and (6,4)

y2 - y1 / x2 - x1

4 - - 5/ 6 - - 4

4 + 5/ 6 + 4

y = 9/10x - 3/2

-3/2 or - 1.5 is the point where the line crossed the y-axis