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IRINA_888 [86]
3 years ago
6

Please simplify 7-2(3-8x)

Mathematics
2 answers:
aliya0001 [1]3 years ago
4 0

The answer is 1+16x,

:))

almond37 [142]3 years ago
3 0

Answer:

1 +16x

Step-by-step explanation:

7-2(3-8x)

Distribute the 2

7-2*3-2*8x

Multiply

7-6+16x

Combine like terms

1 +16x

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Axis of sym: x =
marta [7]

Answer:

<h2>SEE BELOW</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • quadratic function
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<h3>let's solve:</h3>

vertex:(h,k)

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vertex:(-1,4)

axis of symmetry:x=h

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axis of symmetry:x=-1

  • to find the quadratic equation we need to figure out the vertex form of quadratic equation and then simply it to standard form i.e ax²+bx+c=0

vertex form of quadratic equation:

  • y=a(x-h)²+k

therefore

  • y=a(x-(-1))²+4
  • y=a(x+1)²+4

it's to notice that we don't know what a is

therefore we have to figure it out

the graph crosses y-asix at (0,3) coordinates

so,

3=a(0+1)²+4

simplify parentheses:

3 = a(1 {)}^{2}  + 4

simplify exponent:

3 =  a + 4

therefore

a =  - 1

our vertex form of quadratic equation is

  • y=-(x+1)²+4

let's simplify it to standard form

simplify square:

y =  - ( {x}^{2}  + 2x + 1)  + 4

simplify parentheses:

y =  -  {x}^{2}  - 2x - 1 + 4

simplify addition:

y =  -  {x}^{2}  - 2x + 3

therefore our answer is D)y=-x²-2x+3

the domain of the function

x\in \mathbb{R}

and the range of the function is

y\leqslant 4

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-  {x}^{2}  - 2x + 3 = 0

\sf divide \: both \: sides \: by \:  - 1

{x}^{2}  + 2x - 3 = 0

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factor out x and -1 respectively:

\sf \implies \: x(x + 3)   - 1(x  + 3 )= 0

group:

\implies \: (x - 1)(x + 3) = 0

therefore

\begin{cases} x_{1} = 1 \\  x_{2}  =  - 3\end{cases}

4 0
3 years ago
Leona answered all the questions on a test. She had 90% of them correct. There were 40 questions in all. How many did she have c
KengaRu [80]

Answer:

The answer is 36

Step-by-step explanation:

Let the number be <em>x</em>

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6 0
3 years ago
What is the volume of the solid?
kherson [118]

Answer:

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Step-by-step explanation:

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What is the arc measure of BAD on circle P in degrees?
lianna [129]

Answer:

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Step-by-step explanation:

74+42=116

360-116=244.

5 0
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