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love history [14]
2 years ago
14

Find the point of intersection for the two functions through substitution. Show

Mathematics
1 answer:
Alex777 [14]2 years ago
4 0
<h3>Answer:  (-1, 11)</h3>

This means x = -1 and y = 11 pair up together.

================================================

Work Shown:

Set the two functions equal to one another. Solve for x.

f(x) = g(x)

-4x+7 = 2x+13

7 = 2x+13+4x ... adding 4x to both sides

7 = 6x+13

7-13 = 6x .... subtract 13 from both sides

-6 = 6x

6x = -6

x = -6/6 ... divide both sides by 6

x = -1

Use this x value in either function

f(x) = -4x+7

f(-1) = -4(-1)+7

f(-1) = 11

or

g(x) = 2x+13

g(-1) = 2(-1)+13

g(-1) = 11

Whichever function you pick, the input x = -1 leads to the output y = 11.

The point of intersection is (x,y) = (-1, 11)

Visual confirmation is shown below.

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Two boats leave the same harbor in Hawaii at the same time. Boat A is traveling due west at a speed of 45mph. Boat B is travelin
Andrew [12]
I quickly did this on paper and here is my answer I’m not 100% sure I’m correct but here it is

In 1 hour the boats will be 15 miles apart. In 3 hours the boats will be 45 miles apart.

Hope this helps :D
7 0
3 years ago
Read 2 more answers
marsha waide borrows 5,000 and agrees to pay it back in 2 years . if the simple interst rate is 13% ,find the total amount she p
Dmitry_Shevchenko [17]

Answer:

You want to calculate the interest on $5000 at 13% interest per year after 2 year(s).

The formula we'll use for this is the simple interest formula.

Where:

P is the principal amount, $5000.00.

r is the interest rate, 13% per year, or in decimal form, 13/100=0.13.

t is the time involved, 2....year(s) time periods.

So, t is 2....year time periods.

To find the simple interest, we multiply 5000 × 0.13 × 2 to get that:

The interest is: $1300.00

Usually now, the interest is added onto the principal to figure some new amount after 2 year(s),

or 5000.00 + 1300.00 = 6300.00. For example:

If you borrowed the $5000.00, you would now owe $6300.00

8 0
3 years ago
) Kayden is given this question
jarptica [38.1K]

Answer:

36,000,000

Step-by-step explanation:

12000 x 3000 = 36,000,000

Kayden's previous answer is wrong and also written in scientific notation. The above answer written in scientific notation is 3.6 x 10^7.

5 0
3 years ago
Read 2 more answers
Can you please help me
Xelga [282]

Step-by-step explanation:

there is the answers for this one

5 0
2 years ago
Can I please get help on numbers 28,32, and 38
Bezzdna [24]

28). 2400-1800= 600

600/2400×100= 25%

32). 3264/272000×100

= 1.2%

38). 2000×5%= 100

3500-2000= 1500

1500×7%= 105

100+105= $205

btw just had a try

8 0
3 years ago
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