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2 years ago

What is the vertex of the quadratic function y=x2-8x+1

Mathematics

1 answer:

Nuetrik [128]2 years ago

8 0

The vertex to y = x2 - 8x + 1 =

(4,-15)

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There is less gravity on the planet Trang then on earth. In fact, you could jump about 2 2/3 times as high on Trang as planet ea

nasty-shy [4]

1/4 times 2 2/3 = 2/3

Change from a mixed number to improper fraction: 1/4 times 8/3

Multiply across so 1x8/4x3 to get 8/12

Simplify to 2/3

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2 years ago

Which expression is equivalent to the following complex fraction?

Virty [35]

Answer:

$\dfrac{-4x+7}{2(x-2)}$

Step-by-step explanation:

Write the terms of numerator and denominator using a common denominator.

$\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}=\dfrac{\left(\dfrac{3-4(x-1)}{x-1}\right)}{\left(\dfrac{2(x-1)-2}{x-1}\right)}}=\boxed{\dfrac{-4x+7}{2(x-2)}}$

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2 years ago

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Which of the following is the equation for the graph shown?a. x^2/144+y^2/95=1b. x^2/144-y^2/95=1c. x^2/95+y^2/144=1d. x^2/95-y^

Andrews [41]

e follSOLUTION

Given the question in the image, the following are the solution steps to answer the question

STEP 1: Write the general equation of an ellipse

$\frac{\mleft(x-h\mright)^2}{a^2}+\frac{(y-h)^2}{b^2^{}}=1$

STEP 2: Identify the parameters

the length of the major axis is 2a

the length of the minor axis is 2b

$\begin{gathered} 2a=24,a=\frac{24}{2}=12 \\ 2b=20,b=\frac{20}{2}=10 \end{gathered}$

STEP 3: Get the equation of the ellipse

$\begin{gathered} By\text{ substitution,} \\ \frac{(x-h)^2}{a^2}+\frac{(y-h)^2}{b^2}=1 \\ \frac{(x-0)^2}{12^2}+\frac{(y-0)^2}{10^2}=1=\frac{x^2}{144}+\frac{y^2}{100}=1 \end{gathered}$

STEP 4: Pick the nearest equation from the options,

Hence, the equation of the ellipse in the image is given as:

$\frac{x^2}{144}+\frac{y^2}{95}=1$

OPTION A

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11 months ago

Aaron drew the figure below for a school art project. What is the total area of the figure. Use the drop down menus to complete

Feliz [49]

Answer:

The trapezoid has a height of 3 inches, a shorter base measuring 2.75 inches, and a longer base measuring 4.25 inches. The total area of the entire figure is 33 square inches.

Step-by-step explanation:

I took the iready diagnostic :)

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2 years ago

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Which is an equation?

liq [111]

Answer:

Step-by-step explanation:

because it has an equal sign

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2 years ago

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