The following graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k: What is the value of h?
a.4
b.2
c.−2
d.−4

Answers

Answer 1

Answer: has been shifted into the form is 4

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Select the correct difference. 5d 2 + 4d - 3 less 3d 2 - 2d + 4 2d2 + 2d + 1 2d2 + 6d - 7 2d2 + 6d + 7 -2d2 - 6d + 1
2. When a person is selected at random from a very large population, the probability that the selected person is righthanded is 0.82. If three people are selected at random, what is the probability thata. They are all right-handed?b. None of them is right-handed?
25% of all college students major in stem (science, technology, engineering, and math). if 30 college students are randomly selected, find the probability that
What is the value of X in this proportion? (image of the proportion included)
Find the student’s error in solving the following inequality.2 < –3x –4 < 5 6 < –3x < 5 –2 > x > –5/3 a.The student should have added 4 to all parts (left, middle, and right) to get 6 < –3x < 9. b.The student divided 6/–3 incorrectly. c.The student should not have switched the direction of the sign in the final step.

Wich expression defines the given series for seven terms? 8+13+18+.......

Answers

Answer: a+6d will defines the series for seven terms i.e. 38.

Step-by-step explanation:

Since we have given that

$8+13+18+......$

Here, a = first term = 8

d = common difference is given by

$a_2-a_1\n\n=13-8\n\n=5$

So, we need to find the seven terms:

So, here n = 7

So, it becomes,

$a_7=a+(n-1)d\n\na_7=8+(7-1)5\n\na_7=8+6* 5\n\na_7=8+30\n\na_7=38$

Hence, a+6d will defines the series for seven terms i.e. 38.

you're just adding 5
example
8+5= 13
13+5=18
18+5=23
23+5=28
28+5=33
and so on :)

Simplify the rational expressions into lowest forms. (x²-5x)/(2x-10)

Answers

Answer: $(x)/(2)$

Step-by-step explanation:

In order to simplify, I want to see if there is anything we can factor out.

$(x^2-5x)/(2x-10)$ [factor out x in numerator and factor out 2 in denominator]

$(x(x-5))/(2(x-5))$ [notice that there is (x-5) in numerator and denominator, these divide to equal 1]

Therefore the remaining expression is $(x)/(2)$ .

Final answer:

The question involves simplifying a rational expression. This is done by factoring the numerator and denominator, then cancelling out common factors. The simplified form of (x²-5x)/(2x-10) is x/2.

Explanation:

The process of simplifying rational expression such as (x²-5x)/(2x-10) involves factoring both the numerator and the denominator and cancelling out any common factors. Therefore, in this case:

Factor the numerator: x² - 5x = x(x - 5)
Factor the denominator: 2x - 10 = 2(x - 5)
Next, as both expressions have a common factor of (x - 5), cancel these out.

So, the simplified expression is x/2.

Learn more about Simplifying Rational Expressions

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1. Use a compass to draw a large circle.2. Without changing the compass setting, place the point of the compass on the circle and make a mark that intersects the circle.

3. Move the point of the compass to the mark you made and make another mark that intersects the circle.

4. Continue in this way around the circle until you come back to the first mark.

(Hint: The last mark might not coincide precisely with the first mark, but your drawing should look something like the sketch.)

5. Select one of the marks on the circle and use a straightedge to draw line segments connecting that mark to all the marks that are not next to it.

6. Repeat the process for each mark on the circle.

With the design you created in the previous question. Select a pair of adjacent compass marks on the circle. Then follow these instructions and answer the question. 1. Make a crease by folding the paper so that the two marks coincide with each other. When you open the paper, the crease will show you the midpoint along the circle between the two marks. 2. Repeat the process to find the midpoint between each pair of marks on the circle. 3. Use a straightedge to draw line segments connecting each midpoint to the midpoint that is next to it. What type of figure did you create?

Answers

So, the first shape is a pentagon, and the second figure, the one asked for, is a decagon (ten sided polygon), because each 'midpoint line' had two ends, which were factored in and doubled the amount of sides.

What percent of 40.4 is 50.5

Answers

The solution of expression is, 125%

We have to given that,

To find what percent of 40.4 is 50.5.

Let us take,

x percent of 40.4 is 50.5.

Hence, We can write as,

x% of 40.4= 50.5

x/100 × 40.4 = 50.5

40.4x = 5050

x = 5050 / 40.4

x = 125

Therefore, The solution of expression is, 125%

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50,5-100%
40,4-х%
x=(40,4*100)\50,5=80%
Answer:80%

How to factor out xsquared+6x-27

Answers

x^2 + 6x - 27
(x - 3)(x + 9)

The answer is: (x - 3)(x + 9).

Answer:

${x}^(2) + 6x - 27 \n {x}^(2) - 3x + 9x - 27 \n x(x - 3) + 9(x - 3) \n (x - 3)(x + 9)$

Michael is 4 times as old as Brandon and is also 27 years older than Brandon. how old is Brandon

Answers

let's represent Brandon's age by x and Michael is 4 times as old as Brandon so 4x andx+ 27. The equation is
4x=x+27 Therefore Brandon is 9 years old.
4x-x=x-x+27 4x=4*9=36
3x=27 x+27=9+27=36
3x/3=27/3
x=9

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