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4 years ago

Solve the system of equations algebraically: 2x - y = -1 3x + y = 6

1 answer:

7 0

Using substitution method
from the first equ
2x+y=-1
y= -1-2x --------(3)
put equ 3 into equ 2
3x -1-2x=6
3x-2x=6+1
x =7
put x+7 into equ 1
2(7) + y = -1
14 + Y =-1
y= -1-14
y=-15
so
x=7 and y=-15<span />

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If r = −6, s = −2, and t = −3 then evaluate –t(r – s).

nekit [7.7K]

3(-6+2)
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8 0

3 years ago

Read 2 more answers

Help<br><br> Determine which equation is parallel to line jk and which is perpendicular to line jk.

alukav5142 [94]

Answer:

5x + 3y = 13 parallel.

6x - 10y = 7 perpendicular.

Step-by-step explanation:

Two lines with slopes $m_1$ and $m_2$ are parallel when $m_1=m_2$ and are perpendicular when $m_1*m_2=-1$

Now determine the slope of all the lines

The line jk passes through the points

(-5,5) and (1,-5) so its slope is

$\frac{-5-5}{1-(-5)}=\frac{-10}{6}=-\frac{5}{3}$

To determine the slope of the lines in the blue rectangles, isolate y from each one and the coefficient of x is the slope

5x-3y = 8 ------> y = (5/3)x + 8/3 ------> slope 5/3

Neither parallel nor perpendicular.

6x+10y = 11 ------> y = (-6/10)x + 11/10 = (-3/5)x + 11/10 ------> slope -3/5

Neither parallel nor perpendicular.

5x + 3y = 13 ------> y = (-5/3)x + 13/3 ------> slope -5/3

This line is parallel

6x - 10y = 7 ------> y = (6/10)x - 7/10 = (3/5)x -7/10 ------> slope 3/5

Since (-5/3)(3/5) = -1 this line is perpendicular.

8 0

3 years ago

Plz i really need help!!!

stich3 [128]

14. A
C=10+12h
I think one time fee is 10, the recurring fee is 12

15.B
c=2*12h=24h
initial value is going to be 0 because no one time fee, rate of change is 24

C=a*h+b(a is rate of change, and b is initial value)

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3 years ago

Given two functions f(x) and g(x): f(x)=4x^2+2, g(x)=3x+2 form a composition g(f(x))

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G(f(x)) = g ( 4x^2+2) = 3 (4x^2+2)+2
= 12x^2+6+2 = 12x^2+8

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3 years ago

On a number line, what is the distance between -29 and 100? A) 29 B) 71 C) 81 D) 129

shusha [124]

-29 is 29 bars away from 0. 100 is 100 bars away from 0.

29 + 100 = 129

So the distance between -29 and 100 is 129. The answer is D.

6 0

3 years ago