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3 years ago

Graph the functions on the same coordinate plane.

Mathematics

2 answers:

Lelu [443]3 years ago

7 0

Answer:

Solutions to the equation f(x)=g(x) are:

-2

-1

Step-by-step explanation:

We graph the functions:

f(x)=x²+6x+8

and g(x)= −x²+4

The solutions of f(x)=g(x) are the x-coordinate of the points where f(x) and g(x) meet.

Hence, solutions to the equation f(x)=g(x) are:

-2

-1

Airida [17]3 years ago

3 0

Answer:

x^2+6x+8=-x^2+4

2x^2+6x+4=0

(2x+4)(x+1)=0

2x+4=0 and x+1=0

x=-2 and x=-1

Hope I helped!

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You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=−6x+330, where

Anastasy [175]

Answer:

Step-by-step explanation:

Given the elevation h (in feet) of the balloon modeled by the function h(x)=−6x+330, we can calculate the time it takes the balloon to reach the ground. The hot air balloon hits the ground at h(x) = 0.

Substitute h(x) = 0 into the modeled expression and find x as shown;

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3 years ago

Maggie volunteered to bake a cake she decided to double the recipe if the original recipe calls for 3/4 cup brown sugar how much

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3/2

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3 years ago

A line has a slope of 1/2 and contains the points (3, y) and (5, 7). The value of y is:

Nat2105 [25]

I think the anwser is 3

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3 years ago

Solve the following system of equations by graphing and select the correct answer below:

JulijaS [17]

Answer: option c

Step-by-step explanation:

Find the x-intercept and y-intercept of each line.

To find the x-intercept, substitute $y=0$ into the equation and solve for "x".

To find the y-intercept, substitute $x=0$ into the equation and solve for "y".

- For the first equation:

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$4x + 3y = 29\\\\4x + 3(0)= 29\\\\4x=29\\\\x=\frac{29}{4}\\\\x=7.25$

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Graph a line that passes through the points (7.25, 0) and (0, 9.66)

- For the second equation:

x-intercept

$2x - 3y = 1 \\\\2x - 3(0) = 1 \\\\2x=1\\\\x=0.5$

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Graph a line that passes through the points (0.5, 0) and (0, -0.33)

Observe the graph attached. You can see that point of intersection of the lines is (5,3); then this is the solution of the system. Therefore:

$x=5\\y=3$

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4 years ago

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