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STatiana [176]
2 years ago
15

The points (3, 10) and (0, 3) fall on a particular line. What is its equation in slope- intercept form? ) Write your answer usin

g integers, proper fractions, and improper fractions in simplest form.​
Mathematics
1 answer:
Mashutka [201]2 years ago
6 0

Answer:

y = \frac{7}{3}x +3

Step-by-step explanation:

Slope-intercept formula: \frac{y_2-y_2}{x_2-x_1}

\frac{y_2-y_2}{x_2-x_1}\\\\\frac{3-10}{0-3}\\\\\frac{-7}{-3}\\\\\frac{7}{3}

y = mx + b

y = \frac{7}{3}x +b

y = \frac{7}{3}x +b

3 = \frac{7}{3}(0)+b

3 =0+b

3 =b

y = \frac{7}{3}x +3

Hope this helps!

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K(x) = 6x+100 k(-5) =
kkurt [141]

Answer:

k(-5)=70

Step-by-step explanation:

The given function is

k(x)=6x+100

To find k(-5), we put x=-5 into the given function to get;

k(-5)=6(-5)+100

Multiply out to obtain;

k(-5)=-30+100

This is the same as;

k(-5)=100-30

This simplifies to

k(-5)=70

3 0
3 years ago
Solve the system using elimination.<br><br> 2x + 3y = 17<br> x + 5y = 19
ale4655 [162]

\left\{\begin{array}{ccc}2x+3y=17\\x+5y=19&|\text{multiply both sides by (-2)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+3y=17\\-2x-10y=-38\end{array}\right}\qquad\text{add both sides of equations}\\.\qquad\qquad-7y=-21\qquad\text{divide both sides by (-7)}\\.\qquad\qquad \boxed{y=3}\\\\\\\text{Substitute the value of y to the second equation}\\\\x+5(3)=19\\\\x=15=19\qquad\text{subtract 15 from both sides}\\\\\boxed{x=4}\\\\Answer:\ x=4\ and\ y=3.

5 0
3 years ago
F(-2) if f (x) = -3x+7
katrin [286]
1 is the awnser to this problem
4 0
2 years ago
Solve for x : log(3x) + log(x + 4) = log(15).<br><br>Please explain it to me.​
zlopas [31]

Answer:

x = 1

Explanation:

\sf \rightarrow log(3x) + log(x + 4) = log(15)

Rule: log(a) + log(b) = log(ab)

\sf \rightarrow log(3x(x + 4)) =  log(15)

cancel out log on both sides

\sf \rightarrow 3x(x + 4) = 15

relocate constant variable

\sf \rightarrow 3x^2 + 12x -15 = 0

take 3 as a common factor

\sf \rightarrow 3(x^2 + 4x -5) = 0

divide both sides by 3

\sf \rightarrow x^2 + 4x -5 = 0

middle term split

\sf \rightarrow x^2 + 5x -x-5 = 0

factor common terms

\sf \rightarrow x(x  + 5) -1(x+5)= 0

collect into groups

\sf \rightarrow (x-1)(x+5)= 0

set to zero

\sf \rightarrow x-1 = 0 , \ x+5= 0

relocate variables

\sf \rightarrow x = 1,  \ x = -5

There must be a positive solution for log, so the solution is only x = 1

3 0
2 years ago
Read 2 more answers
PLEASE HELP ME WILL MARK AS BRINIEST.
Arisa [49]

Answer:

-14w²-7w+1

Step-by-step explanation:

(–7w2 – 2w – 1) – (–5w2 + 3w – 2)

-14w²-2w-2w-1 +10w²-3w+2

combine the like terms

-14w² + 10w² - 2w-2w-3w+2-1

-4w²-7w+1

4 0
3 years ago
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