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krek1111 [17]
3 years ago
8

Please help 60 points for a 4 part question

Mathematics
2 answers:
topjm [15]3 years ago
4 0

Answer:

a) x = -6, 2 b) y = -12, c) minimum at y=-16

Step-by-step explanation:

y = x² + 4x - 12

The x intercepts are where the graph crosses the x-axis (y=0):

0 = x² + 4x - 12

0 = (x + 6) (x - 2)

x = -6, x = 2

The y intercept is where the graph crosses the y-axis (x=0):

y = (0)² + 4(0) - 12

y = -12

The max or min is at the vertex of the parabola, which happens at x = -b / (2a):

x = -4 / (2*1)

x = -2

At x=-2:

y = (-2)² + 4(-2) - 12

y = -16

Since the leading coefficient is positive (+1 x²), this is an upwards parabola, so the vertex is the minimum.

Ksivusya [100]3 years ago
3 0

Answer:

a) The x-intercepts are (-6,0) and (2,0)

b) The y-intercept is (0,-12)

c) the minimum value is -16 and the ordered pair is (-2,-16)

Step-by-step explanation:

We can find the x-intercepts by factoring the equation

x^2+4x-12=0\\\\(x+6)(x-2)=0\\\\x=-6,2

We can find the y-intercept by plugging in x=0 into the equation

x^2+4x-12\\\\0^2+4(0)-12\\\\-12

We can find the max/min value by finding the vertex of this Parabola.

The equation that allows us to find its x value is

x=\frac{-b}{2a}

For this equation,

a=1

b=4

c=-12

This means that the equation would look like this

x=\frac{-4}{2} \\\\x=-2

Then we can plug x=-2 into the equation in order to find the ordered pair for the vertex.

x^2+4x-12\\\\(-2)^2+4(-2)-12\\\\4-8-12\\\\-16

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Please help out :)) and give a explanation
wolverine [178]

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Answer:

  y = 3x

Step-by-step explanation:

A proportional relation has the equation ...

  y = kx

To write the desired equation, you need to know the value of k. That can be found from the given information:

  for x = 2, y = 6

  6 = k·2

  3 = k . . . . divide by 2

Now, we know the equation can be written ...

  y = 3x

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2 years ago
Find f(4) for the function below. <br><br> f(x) = |x-7| + 3
Anastaziya [24]

Step-by-step explanation:

f(x) = |x-7| + 3

when x is equal to 4, then

f(4) = |4-7| + 3

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6 0
2 years ago
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N76 [4]
The answer is D.10 at least
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2 years ago
What is the perimeter of an equilateral triangle pose area is 4 square root 3
Greeley [361]
P≈9.12
area 4                                               

.......................................................................








6 0
2 years ago
Read 2 more answers
A parallelogram has sides 10m and 12m and an angle of 45°. Find the distance between the 12m-sides.
stich3 [128]

Answer:

The distance between 12m-sides is 5\sqrt{2}m.

Step-by-step explanation:

It is given that the parallelogram has sides 10m and 12m and an angle of 45°.

Draw an altitude from one 12m side to another 12 m side as shown in below figure.

The opposite angles of parallelogram are same. Two angles are obtuse angles and two are acute angle.

Since angle C is acute angle therefore it must be 45 degree.

\sin\theta=\frac{perpendicular}{hypotenuse}

\sin C=\frac{BE}{BC}

\sin(45^{\circ})=\frac{d}{10}

\frac{1}{\sqrt{2}}=\frac{d}{10}

\frac{10}{\sqrt{2}}=d

\frac{10}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}=d

\frac{10\sqrt{2}}{2}=d

5\sqrt{2}=d

Therefore the distance between 12m-sides is 5\sqrt{2}m.

4 0
3 years ago
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