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dybincka [34]
2 years ago
9

Solve the system of equations by using substitution.​

Mathematics
1 answer:
katrin [286]2 years ago
8 0

Answer:

(x,y) = (-1,1)

Step-by-step explanation:

Given the equations

y = 2x + 3

x - y = -2

substitute the value of y in the first equation into the second

x - (2x + 3) = -2

x -2x - 3 = -2

-x - 3 = -2

add 3 to both sides

-x = -2 + 3

- x = 1

Divide both sides by -1

x = -1

Substitute into the first equation

y = 2(-1) + 3

y = -2 + 3

y = 1

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Which is true about the domains and ranges of the functions f(x) = 1/8 (x) and g(x) = 8(x) ?
ivolga24 [154]

Answer:

both have a domain and range of all real numbers

Step-by-step explanation:

4 0
3 years ago
Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4). Include your work in
maw [93]
Firstly, we need to understand the formula of point-slope form:
y1 - y2 =m( x1 - x2)

Where x and y is the coordinates and m is the slope respectively.

To find the slope:
\frac{y1 - y2}{x1 - x2}
In this case:
\frac{5 - 4}{ - 3 - ( - 1)}  \\  =  \frac{1}{ - 3 + 1}  \\  =  -  \frac{1}{2}

We can then put the above slope and the point (-1,4) into the formula:

4-y = -1/2(-1-x)
-y = 1/2+1/2x-4
y = -1/2x+7/2

Alternatively:

y-4=-1/2(x-(-1))
y=-1/2x-1/2+4
y = -1/2x+7/2

Therefore the answer is y = -1/2x+7/2.

Hope it helps!
8 0
3 years ago
Read 2 more answers
(5x 4 – 3x 3 + 6x) – ( 3x 3 + 11x 2 – 8x)
BaLLatris [955]
5x⁴ - 3x³ + 6x) - (3x³ + 11x² - 8x)<span>

</span>Expand the second bracket by multiplying throughout by -1
5x⁴ - 3x³ + 6x - <span>3x³ - 11x² + 8x
</span>
Group like terms and simplify 
5x⁴ - 3x³ - 3x³ - 11x² + 6x <span>+ 8x

</span>5x⁴ - 6x³ - <span>11x² + 14x</span>
6 0
3 years ago
Read 2 more answers
Part 1.] Identify the transformations that describe the graph of an odd function. Select all that apply.
Zarrin [17]
Hello,

1) A odd function has the propriety f(-x)=-f(x)
Answer E

2)
if f(x) is even f(x)=f(-x)
if g(x) is even g(x)=g(-x)

h(x)=f(x)+g(x)=(f+g)(x)
h(-x)=(f+g)(-x)=f(-x)+g(-x)=f(x)+g(x)=(f+g)(x)=h(x)

h(x) is even

3 0
3 years ago
What is the measure of KPN?<br> A. 35°<br> B. 50°<br> C. 60°<br> D.65°<br> E. 70°
luda_lava [24]

Answer:

Option (B)

Step-by-step explanation:

From the picture attached,

NL and KM are the two lines intersecting at a point P.

Therefore, ∠KPN ≅ LPM [Vertical angles]

In ΔPLM,

m∠LPM + m∠PML + m∠PLM = 180° [Property of a triangle]

m∠LPM + 70° + 60° = 180°

m∠LPM + 130° = 180°

m∠LPM = 180° - 130°

m∠LPM = 50°

Therefore, m∠KPN = 50° [vertical angles]

Option (B) will be the correct option.

3 0
3 years ago
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