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enyata [817]
3 years ago
12

What are the coordinates of the vertex of y = x2 – 2x – 7?

Mathematics
1 answer:
Elza [17]3 years ago
6 0
Rearrange  to vertex form:-

y = x^2 - 2x - 7
y = (x - 1)^2 - 1 - 7
y = (x - 1)^2 - 8

The vertex is at the coordinates (1, -8)
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(<span>θ0</span>−<span>Z<span>α/2 </span></span><span>σ/√n</span>, <span>θ0</span>+<span>Z<span>α/2 </span></span><span>σ/√n</span>)

</span><span>θ0</span> is the measured statistic, <span>Z<span>α/2</span></span> is the cutoff/critical value, and <span>σ/<span>√n</span></span> is the standard error. σ is the population standard deviation (if known) or can be estimated by a sample standard deviation. n is the sample size. The cutoff value depends on the test you wish to use, and <span>θ0</span><span> depends on the statistic you wish to estimate.</span>
7 0
3 years ago
How to solve this problem step by step. Make brainliest answer if its done. Please
sladkih [1.3K]

D is halfway between A and B

so the coordinates of D are (2,2)

E is halfway between A and C so the coordinates of E are (-1,1)

now you need to find the gradient/slope of DE and BC using the formula:

\frac{y2 - y1}{x2 - x1}

<h3><u>G</u><u>r</u><u>a</u><u>d</u><u>i</u><u>e</u><u>n</u><u>t</u><u> </u><u>o</u><u>f</u><u> </u><u>D</u><u>E</u><u>:</u><u> </u></h3>

SUB IN COORDINATES OF D AND E

\frac{1 - 2}{ - 1 - 2}

therefore the gradient of DE is 1/3.

<h3><u>G</u><u>r</u><u>a</u><u>d</u><u>i</u><u>e</u><u>n</u><u>t</u><u> </u><u>o</u><u>f</u><u> </u><u>B</u><u>C</u><u>:</u></h3>

<em>S</em><em>U</em><em>B</em><em> </em><em>I</em><em>N</em><em> </em><em>C</em><em>O</em><em>O</em><em>R</em><em>D</em><em>I</em><em>N</em><em>A</em><em>T</em><em>E</em><em>S</em><em> </em><em>O</em><em>F</em><em> </em><em>B</em><em> </em><em>A</em><em>N</em><em>D</em><em> </em><em>C</em>

<em>\frac{ - 2 - 0}{ - 3 - 3}</em>

therefore the gradient of BC is -2/-6 which simplifies to 1/3.

<h3>therefore, BC and DE are parallel as they both have a gradient/slope of 1/3 and parallel lines have the same gradient</h3>

6 0
3 years ago
You are planning a trip to Yellowstone National Park, and know that you can save money by driving
svp [43]

Answer:

the  number of miles that you would drive to go the yellowstone is 814 miles

Step-by-step explanation:

The computation of the number of miles that you would drive to go the yellowstone is shown below:

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3 years ago
Jenna starts with $50 and she sells her homemade cookies for $2 each. Elijah starts with $32 and he sells his homemade cookies f
GuDViN [60]

Answer:

if Jenna sold none, Elijah would sell 6... C=6

Step-by-step explanation:

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6 0
2 years ago
What is the quotient of 5 7 ÷ 5 14 ?
KatRina [158]

Answer:

<h2><u>=</u> <u>   57 / 514  </u>    <u>(Decimal: 0.110895)</u></h2>

Step-by-step explanation:

57 / 514

<u>=   57 / 514 </u>

<u>(Decimal: 0.110895)</u>

<u></u>

<u></u>

<u></u>

<u></u>

<u></u>

<u></u>

<u></u>

<u></u>

<u></u>

<h2><u>And if that is not what you are looking for here: </u></h2><h2><u></u></h2>

Rewrite the equation as  

x /14 =  5/ 7 .  x/ 14 =  5/ 7

Multiply both sides of the equation by  

14.14  ⋅  x /14 =  14 ⋅ 5 /7

Simplify both sides of the equation.

Tap for fewer steps...

Cancel the common factor of  14 .  

Cancel the common factor.

14 ⋅  x /14 =  14 ⋅ 5 /7

Rewrite the expression.

x = 14 ⋅ 5 /7

Simplify  14 ⋅  5/ 7 .

Cancel the common factor of  7 .

Factor  7  out of  14 .

x = 7 ( 2 ) ⋅ 5/ 7

Cancel the common factor.

x = 7 ⋅  2 ⋅  5/ 7

Rewrite the expression.

x  = 2 ⋅ 5

Multiply  2  by  5 .

<u>x = 10</u>

3 0
2 years ago
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