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REY [17]
2 years ago
7

Write an equation of the parabola in vertex form. No LINKS!!!! ​

Mathematics
1 answer:
marissa [1.9K]2 years ago
8 0

9514 1404 393

Answer:

  y = -16x² +180

Step-by-step explanation:

The vertex appears to be the high point of the graph, (0, 180). Then the vertex form equation is ...

  y = a(x -0)² +180

The value of 'a' can be found using the other given point. Substituting for x and y, we have ...

  164 = a(1 -0)² +180

  -16 = a

Then the complete simplified vertex form equation is ...

  y = -16x² +180

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What is the sale price to the nearest cent? $239 television; 10% discount
miv72 [106K]

Answer:

The sale price will be:  $215.10

Step-by-step explanation:

We know that:

Sale price = Regular price × (100% - Discount %)

                 = Regular price × (100% - 10%)

                 = 239 × 90%

                 = 239 × 0.9

                 = 215. 10 $

Therefore, the sale price will be:  $215. 10        

3 0
3 years ago
hi i'm really struggling with this and its due later today! If someone could show the work of how to do it and the answer that w
GuDViN [60]

Answer:

\frac{-5 \pm \sqrt{13} }{6}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\frac{-5 \pm \sqrt{5^2-4(3)(1)} }{2(3)}<u />

<u />

<u>Step 2: Evaluate</u>

  1. Evaluate Exponents:                    \frac{-5 \pm \sqrt{25-4(3)(1)} }{2(3)}
  2. Evaluate Multiplication:               \frac{-5 \pm \sqrt{25-12} }{6}
  3. Evaluate Subtraction:                  \frac{-5 \pm \sqrt{13} }{6}
8 0
3 years ago
Find the difference
kati45 [8]

Answer:

\frac{x}{x+1}

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Write three fractions equivalent to the quotient 50 dived (-17) Using only the numbers -50,-17,17,50 then explain why the quotie
natali 33 [55]

Answer:

Step-by-step explanation:

Fractions equivalent to expression: 50/-17 , -50/17, -(50/17)

Explain: The quotient is a rational number because when we divided p by q, q was not equal to zero.

8 0
2 years ago
A fireplace arch is to be constructed in the form of a semiellipse. The opening is to have a height of 3 feet at the center and
USPshnik [31]

Answer:

Step-by-step explanation:

Given

Fireplace is in the form of semi-ellipse  with height of 3 ft from center

Length of base=8 ft

if the arch is in the form of ellipse then it can be considered as horizontal ellipse with 2 a and 2 b be length of major and minor axis

2 a =8

a=4 ft

If contractor cover the whole base

then total length of string=2a =8 ft

(b)String should be nailed at focus

focus of ellipse is a e

where e=eccentricity

e=\sqrt{1-(\frac{b}{a})^2}

e=\sqrt{1-(\frac{3}{4})^2}=\frac{\sqrt{7}}{4}

Focus =ae =\sqrt{7}

Thus string should be nailed at 2.64 m from center

8 0
3 years ago
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