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seraphim [82]
3 years ago
12

Identify the x-intercept and y-intercept of the line 4x-2y=-12

Mathematics
1 answer:
Alex73 [517]3 years ago
7 0
To find x-intercept, put the Y value = 0;

4x - 2y = -12

-> 4x -2.0 = -12
-> 4x = -12
-> x = -12/4
-> x = -3

X-intercept: (-3,0)

Now do the reverse to find the y-intercept, X = 0;

4x - 2y = -12

-> 4.0 - 2y = -12
-> -2y = -12 x(-1)
-> 2y = 12
-> y = 12/2
-> y = 6

Y-intercept: (0, 6)
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aleksley [76]
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3 0
3 years ago
F(x) x^2-2x+3= -2x+ 28
Aleksandr-060686 [28]

Answer:

x₁ = - 5, x₂ = 5

Step-by-step explanation:

x^2 + 3 = 28

x^2 = 28 - 3

x^2 = 25

x = ± 5

x = - 5

x = 5

6 0
2 years ago
Bobby catches 8 passes in 3 football games. At this rate how many passes dose he catch in 15 games?expine
stepan [7]

Answer: 40

Step-by-step explanation:

I can see the answer is 40, but let's try to figure out how to do it.

I like to use the rule of 3. Let's put the number of passes on the left side and the number of games on the right side.

\frac{8}{x}=\frac{3}{15}

''x'' represents the number of passes in 15 games.

Solve for x;

x=\frac{15*8}{3}\\ x=\frac{120}{3}\\ x=40

8 0
3 years ago
You are considering renting a car from two different rental companies. Proxy car rental company charges. $0.32 per mile plus an
mash [69]
Let y = total charge for a car rental and x = miles driven
Proxy car equation: y = 0.32x + 18
YourPal equation: y = 0.36x + 12

Set equations right sides equal to each other... meaning their cost, y, are equal
0.32x + 18 = 0.36x + 12
18 = 0.04x + 12  (subtract 0.32x from both sides of the equation)
6 = 0.04x            (subtract 12 from both sides of the equation)
150 = x               (divide both sides of the equation by 0.04)
ANSWER: 150 miles
6 0
3 years ago
Choose the system of inequalities that best matches the graph below.
lapo4ka [179]

Answer:

D) y\:, y\:>\:-x

Step-by-step explanation:

The blue boundary line has a y-intercept of 2 and a slope of  2.

It has equation : y=2x+2

Since the boundary line is not solid and the lower half plane of this line is shaded, its inequality is

y\:

The blue boundary line passes through the origin and has slope -1.

Its equation is y=-x.

Since the boundary line is not solid and the right half-plane is shaded, its inequality is y\:>\:-x

The correct choice is D.

4 0
3 years ago
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