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Gwar [14]
3 years ago
6

Write an equation in slope-intercept form of the line that passes throught the point and given slope: (12, 5) ; m = -3

Mathematics
1 answer:
Nonamiya [84]3 years ago
4 0
Slope intercept form: 
y=mx+b
m=slope
b=y-intercept

y=-3x+b

Plug in the given coordinate and solve for b (12,5) 
5=-3(12)+b
5=-36+b 
41=b 

Final answer: 
<span>y=-3x+41<span>
</span></span>
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Greeley [361]

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7 0
1 year ago
Solve y = x + 6 for x.
Anni [7]

Y = x + 6

Subtract 6 from each side:

Y - 6 = X

6 0
3 years ago
Write the linear function f with the values f(1) = 1 and f(-3) = 17. (Note: Use f(x) instead of y.) Show work to get full credit
Ilya [14]

Given:

f(1) = 1 and f(-3) = 17

To find:

The lines function f.

Solution:

If f(a) = b, it means the function f passes through (a,b).

Here, f(1) = 1, it means the function f passes through (1,1).

f(-3) = 17, it means the function f passes through (-3,17).

If a linear function passes through two point (x_1,y_1)\text{ and }(x_2,y_2), then the equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The linear function f passes through (1,1) amd (-3,17). So, the equation of linear function is

y-1=\dfrac{17-1}{-3-1}(x-1)

y-1=\dfrac{16}{-4}(x-1)

y-1=-4(x-1)

y-1=-4x+4

Add 1 on both sides.

y-1+1=-4x+4+1

y=-4x+5

Put y=f(x), to write in function notation.

f(x)=-4x+5

Therefore, required lines function is f(x)=-4x+5.

4 0
2 years ago
What is 160% of what is 32
belka [17]

Answer:

51.2

Step-by-step explanation:

160% is the same as saying 1.6 as a decimal. So 160% of 32 would be 32 × 1.6 = 51.2

7 0
3 years ago
Read 2 more answers
Pay as you go Pay only $6 each time you work out Regular Deal Pay $50 a month and $2 each time you work out All-in-one price! Pa
Cloud [144]

Answer:

Regular Deal

Step-by-step explanation:

<em>Pay as you go</em>

Pay only $6 each time you work out

<em>Regular Deal</em>

Pay $50 a month and $2 each time you work out

<em>All-in-one price! </em>

Pay just $100 per month for unlimited use of our great facilities

1. Carlo thinks he will go to the gym about 20 times a month. Which of these options is the least expensive for Carlo? Show how you determined your answer.​

For 20 visits to the gym:

<em></em>

<em>Pay as you go:</em>

20 × $6 = $120

<em>Regular Deal</em>

$50 + 20 × $2 = $50 + $40 = $90

<em>All-in-one price! </em>

$100

<u><em>Answer:</em></u>

The best deal is for 20 visits per month is: <em>Regular Deal</em>

7 0
1 year ago
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