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Sedbober [7]
2 years ago
9

Which is the graph of the function f(x) = 1/2x2 + 2x - 6?

Mathematics
1 answer:
Morgarella [4.7K]2 years ago
6 0

Answer:

1/2 x^2 + 2x - 6 = 0

(1/2 x - 1)(x + 6) = 0

zeroes are 2 and -6

so the graph intersects x axis at -6 and 2

The only one to do that is diagram A

Step-by-step explanation:

You might be interested in
a line passed through the point (8,9) and has a slope of -3/4. write an equation in slope intercept form.
bagirrra123 [75]

Answer:

y = -3/4x + 3

Step-by-step explanation:

y - 9 = -3/4 (x-8)

y-9 = -3/4x -6

y = -3/4x - 6 + 9

y = -3/4x + 3

8 0
3 years ago
How do I solve -(x+7)-5=4(x+3)-6x
sasho [114]

Answer:

x = 24

Step-by-step explanation:

I checked and made sure the answer was correct.

Hope this helps!

Please Mark Brainliest!

4 0
3 years ago
Which expression is equivalent to (x^2 -8) - (-2x^2+4)?​
Phoenix [80]

Answer:

D) 3x^2 - 12

Step-by-step explanation:

Using PEMDAS;

There is no need to evaluate the part of the equation (x^2 - 8) because is no need to, as it is already in its simplest form.

We must evaluate the part of the equation continuing with, "- (-2x^2+4)," as it is not in its simplest form.

Evaluating "- (-2x^2+4)":

Step 1: Distributing the negative

Once distributing the negative symbol amongst the values within the parenthesis according to PEMDAS, we get "2x^2 - 4" as the product.

Step 2: Consider the rest of the equation to evaluate

Since the part of the equation is still in play here as it is a part of the original equation to be solved, we must evaluate it as a whole to get the final answer.

Thus,

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

*we can remove the parenthesis as it has no purpose, since it makes no difference.

Evaluating for the answer, we get,

x^2+2x^2 + (-8 - 4) = 3x^2 - 12

Hence, the answer is D) 3x^2 - 12.

3 0
3 years ago
40 POINTS!!!
maria [59]

Answer:

470 cm³

Step-by-step explanation:

Volume of rectangular prism = width × length × height

⇒ Volume of whole rectangular prism = 9 cm × 10 cm × 8 cm

                                                                = 720 cm³

Side lengths of the missing piece:

  • width  = 5 cm
  • length = 10 cm
  • height = 8 cm - 3 cm = 5 cm

⇒ Volume of the missing piece = 5 cm × 10 cm × 5 cm

                                                    = 250 cm³

⇒ Volume of irregular figure = 720 cm³ - 250 cm³

                                                = 470 cm³

4 0
2 years ago
In a triangle the measure of the first angle is 24 degrees more than the second angle. the measure of the third angle is four ti
Leona [35]

The greatest angle in the given triangle is 104 degrees.

<h3>What is a triangle?</h3>
  • The polygon with 3 sides, three vertices, and three angles is known as a triangle.
  • A triangle's overall number of degrees is always 180 degrees.

Given:

  • Let, the second angle has a measurement of x degrees.
  • The first angle's measurement is 24 degrees greater than the second angle's measurement.
  • As a result, the first angle is (24+x) degrees.
  • The third angle is four times as large as the second.
  • As a result, the third angle has a measure of 4x.

So,

  • (24 + x) + x + 4x = 180
  • 6x = 124 - 48
  • 6x = 156
  • x = 156/6
  • x = 26

As a result, the second angle has a measurement of 26 degrees.

The first angle's measurement is now 24 degrees greater than the second angle's measurement.

Now,

  • = 24 + 26
  • = 50

As a result, the first angle has a measure of 50 degrees.

The third angle is now four times the size of the second angle.

So,

  • 4 × 26 = 104

Therefore, the greatest angle in the given triangle is 104 degrees.

Know more about triangles here:

brainly.com/question/17335144

#SPJ4

7 0
2 years ago
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