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Romashka [77]
3 years ago
13

H(x) = -(x + 11)2 +1 what is the vertex

Mathematics
1 answer:
Ganezh [65]3 years ago
4 0

Answer:

with (-11, 1) as the vertex

Step-by-step explanation:

The vertex form of a parabola is given by

y = a (x-h) ^2 +k

where (h,k) is the vertex

h(x) = -(x + 11)^2 +1

is written in vertex form

h(x) = -(x  -  -11)^2 +1

  with (-11, 1) as the vertex

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What expression is equivalent to 1/3x + 1/4 - 2/3x <br> Show work please
ivolga24 [154]

Answer:

1/12 * (-4x+3)

Step-by-step explanation:

1/3x + 1/4 - 2/3x

1/12 * (4x+3-8x)

1/12 * (-4x+3)

6 0
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In May, Liam and Charlie had the same amount of money in their savings accounts. In June, Liam deposited $140 into his account.
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Let's say both had an original amount of "a".

then Liam deposited 140, so it became a + 140.

then Charlie added 5% of "a" to "a", well, 5% of anything is just (5/100)*anything, so 5% of "a" is just (5/100) *a or 0.05a.

then they checked their amounts and both were equal, what the?  let's check.

\bf \stackrel{\textit{Liam}}{a+140}=\stackrel{\textit{Charlie}}{a+0.05a}\implies a+140=1.05a\implies 140=1.05a-a&#10;\\\\\\&#10;140=0.05a\implies \cfrac{140}{0.05}=a\implies \boxed{2800=a}
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Find the derivative of f(x) = 6x + 2 at x = 1.
earnstyle [38]
f'(x_0)=\lim\limits_{x\to x_0}\dfrac{f(x)-f(x_0)}{x-x_0}\\\\f(x)=6x+2;\ x_0=1\\\\f'(1)=\lim\limits_{x\to x_0}\dfrac{(6x+2)-(6\cdot1+2)}{x-1}=\lim\limits_{x\to x_0}\dfrac{6x+2-8}{x-1}\\\\=\lim\limits_{x\to x_0}\dfrac{6x-6}{x-1}=\lim\limits_{x\to x_0}\dfrac{6(x-1)}{x-1}=\lim\limits_{x\to x_0}6=6\\\\\\Answer:\boxed{f'(1)=6}
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The slope for the equation is 1/4
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Express the number 78.263 using ones, tenths, and thousandths.
ira [324]

The number 78.263 using ones, tenths, and thousandths means

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<h3>Place value</h3>

This is the value of each digits based on its position in a number.

It is divided into whole number part and fractional part.

Whole number part:

  • Hundred thousand
  • Ten thousand
  • Thousand
  • Hundred
  • Tens
  • Ones

Fractional part:

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  • Ten thousandths
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78.263

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Learn more about place value:

brainly.com/question/2041524

#SPJ1

7 0
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