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PtichkaEL [24]
3 years ago
10

What is the slope and y- intercept of the line passing through (11,-3) and (7,9)

Mathematics
1 answer:
Misha Larkins [42]3 years ago
7 0

Answer:

Slope is -3, y-intercept is 30

Step-by-step explanation:

You take the two points (11,-3) and (7,9), plug them into the formula y2-y1/x2-x2=m. Now, you have 9-(-3)/7-11 which gives you 12/-4, 12/-4 can be simplified into -3 which is your slope. To find y-intercept you must use the formula y=mx+b. Plug -3, your slope, into m, and any of the coordinates on your line into the y and x; I used (7,9). You solve for b from 9=-3*7+b. -3*7 gives you -21, now you have 9=-21+b, to get b by itself, you add 21 to both sides, 30=b. B is your y-intercept.

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He invested $345.00 each account

7 0
3 years ago
F (x) = 5x + 3<br> What is the value of x when f(x) = 6?
lapo4ka [179]

Answer:

The value of x when f(x) equals 6 is 3/5.

Step-by-step explanation:

In order to solve this problem, we shall start by inputting what we know.

Since the problem provides you with the value of f(x), we will input the value in the given equation.

Original Equation: f(x) = 5x + 3

New Equation: 6 = 5x + 3

Now that all known values of variables have been added to the equation, we will begin to solve.

Start by subtracting both sides of the equation by 3. This step is necessary to isolate x in order to find it's value.

6 = 5x + 3

6 - 3 = 5x + 3 - 3

3 = 5x

Next, we shall divide both side of the equation by 5. This step will allow us to isolate x and finally solve its value.

3 = 5x

3/5 = 5x/5

3/5 = x

Thus, the value of x in f(x) = 5x + 3 is 3/5.

---

To be sure your answer is correct, insert the values of both f(x) and x into the equation provided and solve like so...

f(x) = 5x + 3

6 = 5(3/5) + 3

6 = 3 + 3

6 = 6 ✅

6 0
3 years ago
Jen solved the equation to determine the number of questions, x, she answered incorrectly on a test. She began by subtracting 10
fgiga [73]
Answer is Correct. She could have also subtracted 100 from both sides, then divided by .
8 0
3 years ago
Read 2 more answers
Please help me i know this might take a while but plz my teacher be buggin <br> Due today
trasher [3.6K]

Answer:

5) Part A: The rate of change, also known as the slope, is the "0.6x" part of the equation. It means that for every week the puppy is alive, x, that number is multiplied by 0.6 pounds.

Part B: The y-intercept is 4 pounds, which represents a puppy being 4 pounds at birth.

Part C: y = 0.6x + 4

y = 0.6(8)+4

y = 8.8

At 8 weeks, a puppy is estimated to be 8.8 pounds.

Part D: y = 0.6x + 4

22 = 0.6 + 4

-4              -4

18 = 0.6x

18/0.6 = 0.6x/0.6

30 = x

It would take a puppy 30 weeks to reach 22 pounds.

8 0
2 years ago
You want to put $2,500 in a simple interest account. It has a 4% annual interest rate. How long will it take you to earn $200 in
Nadya [2.5K]
The formula is
I=prt
I interest earned 200
P principle 2500
R interest rate 0.04
T time ?
We need to solve for t
T=I÷pr
T=200÷(2,500×0.04)
T=2years

Hope it helps
6 0
3 years ago
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