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musickatia [10]
3 years ago
8

Write a quadratic function that represents a parabola that opens upward and has x-intercepts (-8,0) and (-1,0)

Mathematics
1 answer:
GuDViN [60]3 years ago
4 0
The x intercepts give a clue to find the equation. We know that factored quadratic equations are written in the form (x+n)(x+n)=0, where n is a positive or negative number. This means that when you solve for x, you must handle each bracket individually, like this:
x+n=0
x=-n
This gives us the x intercept of (-n, 0)
Using this example, we notice that the coordinate of x on the x intercept is the opposite of the number in the parentheses. So, the factored form of an equation going through the x intercepts (-8,0) and (-1,0) is (x+8)(x+1). Now, we just expand the brackets to give us the full equation:
{x}^{2}  + 9x + 8
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Jill is inviting friends for
Free_Kalibri [48]

Answer:

13.

Step-by-step explanation:

If each of the first 12 guests happens to be born in a different month, the 13th person will have to be born in the same month as one of the first 12.

3 0
3 years ago
Help me on question 24 please and explain it thanks
Papessa [141]
You know that the sum of the interior angles in a triangle is 180
we will add all the angles,
(x+8)+(2x-8)+(3x-12)=180
x+8+2x-8+3x-12=180    8 and -8 cancel out 
6x-12=180
6x=180+12
6x=192
x=192/6=32
x=32

8 0
3 years ago
Triangle ABC is congruent to triangle DEF. If DE = 41, EF = 23, DF = 36, and AC = 5x - 9, what is x? Round to the nearest tenth.
Aloiza [94]

Similar shapes may or may not be congruent.

The value of x is (a) 9.0

The corresponding sides are:

  • AB and DE
  • BC and EF
  • AC and DF

The side lengths are:

\mathbf{DE = 41}

\mathbf{EF = 23}

\mathbf{DF = 36}

\mathbf{AC = 5x - 9}

Because the shapes are congruent, and AC corresponds to DF.

This means that:

\mathbf{AC = DF}

So, we have:

\mathbf{5x - 9 = 36}

Collect like terms

\mathbf{5x = 9 + 36}

\mathbf{5x = 45}

Divide both sides by 5

\mathbf{x = 9.0}

<em>Hence, the correct option is (a) 9.0</em>

Read more about congruent triangles at:

brainly.com/question/12413243

5 0
2 years ago
Please help me. Thank you. 20 points. Show all work.
kramer
Yes it is D. 
<span>L/(22π)=108/360; L≈20.73</span>
4 0
3 years ago
Graph the given function and identify the domain and range<br>f(x)=2/3 |x-1|-5
Brilliant_brown [7]
Ok here is a graph
Hope this helps and don’t forget to mark as brainliest if you thought it was most helpful :)

3 0
3 years ago
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