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jekas [21]
3 years ago
14

What is the vertex of the absolute value function defined by ƒ(x) = |x + 5| + 7?

Mathematics
1 answer:
Temka [501]3 years ago
7 0
To answer this, you need to know the general form of an absolute value function. the equation for this is f(x<span>) = </span>a|x<span> - </span>h<span>| + </span>k, and in this equation, the vertex is (h, k).

with that information, you can see that your vertex will be (-5, 7). you must take the negative for 5 because the general equation states that your h value is usually subtracted from x. to check your vertex, try plugging it into your general equation:
f(x) = a|x - (-5)| + 7
f(x) = a|x + 5| + 7 ... you see that this matches your given equation. this last part here was just to show why your 5 must be negative; your answer is bolded.
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Question 3<br> Find 250% of 4.4
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Step-by-step explanation:

\to \sf \: \: 250\% \: of \: 4.4  \\  \sf \to \frac{250}{100}  \times  \frac{44}{100}  \\   \sf \to \:  \frac{11 \cancel{000}}{10 \cancel{000}}  \\  \sf \to \:  \frac{11}{10}  \\  \sf \to \: 1.1 \: ans.

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3 years ago
In circle O, what is m∠MAJ?
ira [324]

we know that

The measure of the interior angle is the half-sum of the arcs comprising it and its opposite.

so

<u>Find the measure of the angle LAM</u>

m∠LAM is equal to

\frac{1}{2}*[arc\ KJ+arc\ LM]= \frac{1}{2}*[170+80]\\\\=125\ degrees

<u>Find the measure of the angle MAJ</u>

we know that

m∠LAM+m∠MAJ=180° ------> by supplementary angles

m∠MAJ=(180-125)

m∠MAJ=55°

therefore

<u>the answer is</u>

The measure of the angle MAJ is 55\ degrees

6 0
3 years ago
Read 2 more answers
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Whitepunk [10]

Answer:

x=333.33%

Step-by-step explanation:

hello

you can resolve this by using the rule of 3,let´s see

75 oranges =100%

250 oranges = x%?

75 oranges* x%=250 oranges *100%

x=\frac{250*100}{75}

x=333.33%

Have a great day.

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3 years ago
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