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Norma-Jean [14]
3 years ago
9

Given ​ f(x)=x2+14x+40 ​. Enter the quadratic function in vertex form in the box.

Mathematics
1 answer:
sammy [17]3 years ago
8 0
Please indicate exponentiation using " ^ "   Thanks.

f(x)=x2+14x+40 => <span>f(x)=x^2+14x+40

Next, complete the square:

</span>f(x)=x^2+14x+ 49 - 49 +40 = (x+7)^2 - 9 

Write this in the form y = (x+7)^2 - 9  or y + 9 = (x+7)^2
Comparing this result to y = a(x-h)^2 + k, we see that h = -7 and k=-9

In vertex form, the equation is y + 9 = (x+7)^2 and the vertex is at (-7, -9).
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A cell phone company charges $20 for a customer to open a new account and $35 for each month of phone service.
lorasvet [3.4K]

Answer:

y=4/5 x-3

Step-by-step explanation:

6 0
2 years ago
Please help with this, i tried to solve for x, and it didnt give me any of those answers
Firdavs [7]
I hope this helps you




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3 0
3 years ago
What kind of triangle is this!!! Please Help!!!
Arisa [49]

Answer:

Right Isosceles

Step-by-step explanation:

First, let's see if this triangle is Acute, Obtuse or Right.

We see that PB and QB are perpendicular lines, meaning that they form a right angle.  Therefore, triangle PQB is a right triangle.

Next, let's see if this triangle is equilateral, isosceles or scalene. PB and QB are congruent side lengths but PQ is not congruent to either PB or QB. Therefore, because two of the side lengths are congruent to each other and one is not, then triangle PQB is a isosceles triangle.

In conclusion, triangle PQB can be categorized as a right isosceles triangle.

Hope this helps!

3 0
3 years ago
The box plots show the math scores of students in two different classes. Based on the box plots, which statement is correct?
Allisa [31]

Based on the box plots, the statement which is correct is that: A. The median score of Class A is greater than the median score of Class B.

<h3>What is a box and whisker plot?</h3>

In Mathematics, a box plot is also referred to as box and whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Additionally, the five-number summary of any box plot (box and whisker plot) include the following:

  1. Minimum
  2. First quartile
  3. Median
  4. Third quartile
  5. Maximum

By critically observing the box plot (box and whisker plot) which represent the math scores of students in in two different classes, we can reasonably and logically deduce the following median scores;

Median score of class A = 80

Median score of class B = 75

Therefore, a median score of 80 in Class A is greater than the median score of 75 in Class B.

Read more on box plots here: brainly.com/question/14277132

#SPJ1

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1 year ago
If two 12-sided dice are rolled, what is the probability that both numbers will be even?
geniusboy [140]
1/4 I think, I’m not sure
7 0
3 years ago
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