MATHEMATICS HIGH SCHOOL

Which of the following equations represents the graph shown?o f(x) = -x + 2
o f(x) = -x-2
o f(x) = x + 2
Which of the following equations represents the graph shown? o - 1

Answers

Answer 1
Answer:

Answer:

It's the first one. -x+2

Step-by-step explanation:

The slope is negative and the line intersects the y-intercept at positive 2.
Answer 2
Answer: He’s correct .yay ya

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It takes Tom 1 hour to lay 30 bricks. He has to lay 180 bricks.
Tom starts to lay the bricks at 9 a.m
He has half an hour break at 11 a.m
He has another half an hour break at 1 p.m

What time should Tom finish laying the 180 bricks?

Answers

he should finish laying the bricks at 3:00pm

A guitar factory has a cost of production C(x) = 100x + 56000 , where is the number of guitars produced . If the company needs to break even after 150 units sold, at what price should they sell each guitar ? Use the variable p to represent the price Round up to the nearest dollar .

Answers

Answer:

Step-by-step explanation:

If the company wants to just break even, that means that the cost to produce 150 guitars is equal to the price they charge to make a 0 profit. The cost of 150 guitars is

C(150) = 100(150) + 56000 and

C(150) = 71000. That's how much it costs to produce 150 guitars. If they want to make nothing at all, they have to sell the 150 guitars for

p(x) = 71000/150 so

p(x) = 473.33 or 474

Answer:

473.33 units

Step-by-step explanation:

The breakeven point is the level of production at which the costs of production equal the revenues for a product. So, considering P the price of a guitar unit, we have that:

C(150) = 150.P

P = C(150)/150

P = (100.150 + 56000) / 150

P = (15000 + 56000) / 150

P = 71000/150

P ~ 473.33 units of currency per guitar

9. Nick has desigied a diamond-shaped kite as shown below. The measures of so me sides of the kite, are marked in thefigure. Find the value of x (JUSTIFY)

Answers

Answer:

x=(10√(6))/(7)\ in

Step-by-step explanation:

step 1

In the right triangle DOC

Find the measure of side DO

Applying the Pythagoras Theorem

DC^(2)=DO^(2)+OC^(2)

substitute the given values

7^(2)=DO^(2)+5^(2)

DO^(2)=7^(2)-5^(2)

DO^(2)=49-25

DO^(2)=24

DO=2√(6)\ in

step 2

In the right triangle DOC

Find the sine of angle ∠ODC

sin(∠ODC)=OC/DC

substitute

sin(ODC)=5/7 -----> equation A

step 3

In the right triangle DOP

Find the sine of angle ∠ODP

sin(∠ODP)=OP/DO

substitute

sin(ODP)=x/2√(6) -----> equation B

step 4

Find the value of x

In this problem

∠ODC=∠ODP

so

equate equation A and equation B

5/7=x/2√(6)

x=(10√(6))/(7)\ in

Chromium-51 has a half-life of 28 days. If Georgia leaves a bottle of 10,000-milligram capsules in her medicine cabinet for a year, what will be the strength in milligrams of each capsule? Round to the nearest milligram

Answers

For finding the strength of the capsules after one year, we will use half-life formula. The formula is:

A = A₀ ((1)/(2))^(t)/(h)

where, A= Final amount

A₀ = Initial amount

t= time elapsed

h= half-life

Here, in this problem A₀ = 10000 milligram, t= 1 year or 365 days

and h= 28 days

So, A = 10000 ((1)/(2) )^(365)/(28)

⇒ A = 10000 ((1)/(2))^1^3^.^0^4

⇒ A = 1.187

So, the strength of the capsules after one year will be 1.187 milligrams.

NEED HELP ASAP
Solve 4 – x = –8.

Answers

Answer:

i think it is 12 positive

Step-by-step explanation:

i think

Help me out plssss!!!!

Answers

Answer: m=6.2t, 148.8 miles

Step-by-step explanation:

to figure out the equation we do 93/15=6.2 and we make it into a equation which is m=6.2t. since we know the butterfly travels 6.2 per hour we do 6.2 x 24 = 148.8

sorry if it's wrong
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