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nordsb [41]
3 years ago
10

What is the equation of a line passing through (-6, 5) and having a slope of 1/3 ? A. B. C. D. y = 3x + 7

Mathematics
2 answers:
Karolina [17]3 years ago
8 0

Answer:

Equation of the line is,

y = x/3 + 7

Step-by-step explanation:

It is given that,a line passing through (-6, 5) and having a slope of 1/3

Points to remember

The equation of a line passing through the point (x₁, y₁) with slope m is given by

(y - y1)/(x - x₁) = m

<u>To find the equation of line</u>

here x₁ = -6, y₁ = 5 and m = 1/3

(y - y1)/(x - x₁) = m

(y - 5)/(x - - 6) = 1/3

(y - 5)/(x + 6) =1/3

y = x/3 + 7

viva [34]3 years ago
3 0

Answer:

y = 1/3 x + 7

Step-by-step explanation:

Given; the line is passing through, (-6,5) and the slope is 1/3

We can get its equation;

We would take, a point (x,y) and the given point (-6,5)

Therefore; Since slope = Δy/Δx

Then;

(5-y)/ (-6-x) = 1/3

3(5-y) = -6 -x

15 - 3y = -6 - x

we get;

3y = 6 + x + 15

3y = x + 21

Therefore;

<u>y = 1/3 x + 7</u>

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vaieri [72.5K]

Answer:

0.7938

Step-by-step explanation:

z1 = (125-100)/15 = 1.667

P( < 125) = 0.9522

z2 = (85-100)/15 = -1

P( > 85) = 0.8413

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4 0
3 years ago
Paul deposited $95,000 in a savings account that pays 4% interest compounded daily. What is his balance at the end of six months
Arada [10]

Answer:

\$96,919.02  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=6/12=0.5\ years\\ P=\$95,000\\ r=4\%=4/100=0.04\\n=365  

substitute in the formula above  

A=95,000(1+\frac{0.04}{365})^{365*0.5}  

A=95,000(1+\frac{0.04}{365})^{182.5}=\$96,919.02  

5 0
3 years ago
Help! William earns $13,644.80 per hear, and has his federal taxes withheld from each weekly check. In addition, a total of $53.
leva [86]
So 52 weeks in a year so

13,644.8/52=262.4 per week

53.8 is deducted from 262.4

so the deduction is 53.8 then the answer is
262.4-53.8=208.6

the 10% and 15% part is of the yearly income and 53.8 is 15% of 262.4 so that part doesn't matter

the answer of net pay is 208.6 dollars
8 0
3 years ago
125+25x = 50 I need a answer quickly ​
antoniya [11.8K]

Answer:

-3

Step-by-step explanation:

Subtract 25x             125=-25x+50

Subtract 50                125-50= -25x

Simplify                       75= -25x

Divided 75 by negatrive 25

8 0
3 years ago
I need the answer for #4 please :)
ioda

no it would be 5600 i think

5 0
3 years ago
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