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Daniel [21]
3 years ago
12

How many x-intercepts does the graph of each quadratic equation have? Show your work.

Mathematics
1 answer:
Alex73 [517]3 years ago
4 0

Answer:

Step-by-step explanation:

In each case we find the discriminant b^2 - 4ac.

If the discriminant is negative, we have two unequal, complex roots.

If the discriminant is zero. we have two equal, real roots.

If the discriminant is positive, we  have two unequal real roots.

#51:  8v^2 - 12v + 9:  the discriminant is (-12)^2 - 4(8)(9) = -144.  we have two unequal, complex roots

#52:  (-11)^2 - 4(4)(-14) = 121 + 224 = 345.  we  have two unequal real roots.

#53:  (-5)^2 - 4(7)(6) = 25 - 168 (negative).  we have two unequal, complex roots.

#54:  (4)^2 - 16 = 0.  We have two equal, real roots.

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Points A, B, and C are collinear. Point B is between A and C. BC=8x+709. AB=487+5x. AC=91. Find BC.
Zolol [24]

Answer:

<h3>            BC = 29</h3>

Step-by-step explanation:

Point B is between A and C and the points A, B, and C are collinear so:

AB + BC = AC

487 + 5x + 8x + 709 = 91

  13x + 1196 = 91

       - 1196      - 1196

   13x  =  - 1105

     ÷13     ÷13

    x = - 85

BC =  8x + 709 = 8(-85) + 709 = - 680 + 709 = 29

7 0
3 years ago
I NEED HELP ASAP! PLEASEEEE​<br><br>I will give you 5 stars rate
nlexa [21]
The first one is 5
Second 3
Third -7
Fourth is 9
And fifth is 10
7 0
3 years ago
Bert's bike shop has a $400 bicycle marked with a sign that says take a 35% discount what is the sale price
Inessa [10]

Answer:

$260

Step-by-step explanation:

Turn the percentage into a decimal.

35% -> 0.35

Multiply.

400 * 0.35 = 140

Subtract.

400 - 140 = $260

Best of Luck!

7 0
3 years ago
Read 2 more answers
F(x+h) = (x+h)² + 3(x+h)^3<br><br> How would I distribute this?
Leno4ka [110]

Answer:

f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Distributive Property
  • Expand by FOIL (First Outside Inside Last)
  • Combining like terms

Step-by-step explanation:

<u>Step 1: Define function</u>

f(x) = x² + 3x³

f(x + h) is x = x + h

<u>Step 2: Simplify</u>

  1. Substitute:                              f(x + h) = (x + h)² + 3(x + h)³
  2. Expand by FOILing:               f(x + h) = (x² + 2hx + h²) + 3(x + h)³
  3. Rewrite:                                  f(x + h) = (x² + 2hx + h²) + 3(x + h)²(x + h)
  4. Expand by FOILing:               f(x + h) = (x²+2hx+h²) + 3(x² + 2hx + h²)(x+h)
  5. Distribute/Expand:                 f(x + h) = (x²+2hx+h²) + 3(x³+3hx²+3h²x+h³)
  6. Distribute 3:                            f(x + h) = (x²+2hx+h²)+(3x³+9hx²+9h²x+3h³)
  7. Combine like terms:               f(x + h) = 3x³+x²+9h²x+3h³+h²+9hx²+2hx
3 0
3 years ago
HELPPP PLASSSS BRAINLIEST
Svetach [21]

Answer:

5

Step-by-step explanation:

If the parallelogram is being rotated the side length will stay the same as it is in the current state.

6 0
3 years ago
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