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kati45 [8]
3 years ago
15

Write the following quadratic expression in vertex form x^2+4x+10

Mathematics
1 answer:
AysviL [449]3 years ago
7 0

9514 1404 393

Answer:

  (x +2)^2 +6

Step-by-step explanation:

We can add and subtract the square of half the x-coefficient.

  x^2 +4x +10 = (x^2 +4x +2^2) +10 -2^2

  = (x +2)^2 +6

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The graph shows the average price of homes in the United States from 2009 to 2014.
Leya [2.2K]

Answer:

Rising home prices in recent years means that more people will need to take out mortgages.

Explanation:

We can see in the graph that there is an upward trend; that is, the average price of homes in the US is rising.  While there was a slight decrease from 2010 to 2012, overall the average is still increasing.

Since the prices are increasing, more people will need to take out mortgages, as it will e harder to have the cash saved up to purchase the home.

4 0
4 years ago
Read 2 more answers
PLEASE HELP WILL MARK BRAINLIEST
zalisa [80]

Answer:

The probability of being older than 25 years and having a hemoglobin level above 11 is 19.58%. Since the question is referring to persons older than 25 years, we'll include all the data above 25 years.

So under 25-35 years old is 44 and under 35 years old is 40.

  44 + 40 = 84

  84 / 429 = 0.1958 or 19.58%

The probability of having a hemoglobin level above 11 is 35.66%. We would just get the ratio of 153 people who have hemoglobin level above 11 over the population of 429. 153 / 429 = 0.356643 or 35.66%

Being older than 25 years and having a hemoglobin level above 11 is not dependent on each other. Since the data is inversely proportional. The older the person gets, the lesser the number of people having hemoglobin level above 11 (A) 19.58%.

I hope this helps!

8 0
3 years ago
A house’s was valued at 269,00. After several years, the value increased by 18%. By how much did it increase in dollars? What is
Aneli [31]

Answer:

31742

Step-by-step explanation:

26900 \times  \frac{100 + 18}{100 }  = 31742

5 0
2 years ago
Draw a square with one vertex on the origin (-3, 5) and a perimeter of 20.
vampirchik [111]

Answer:

Coordinates:

(-3, 5)

(2, 5)

(-3, 10)

(2, 10)

Step-by-step explanation:

Perimeter formula:

length + width + length + width

Insert known value(s):

l + w + l + w = 20

Squares must have the same value for all 4 sides, so what number × 4 will equal 20? 5.

5 + 5 + 5 + 5 = 20

This means coordinates will be 5 units apart:

(-3 + 5, 5) = (2, 5)

(-3, 5 + 5) = (-3, 10)

Mark these coordinates on your grid as you go to double check the shape turns becomes a square:

(2, 5 + 5) = (2, 10)

Counting between them should equal 5 units for each side: I checked using the desmos graphing calculator online.

5 0
3 years ago
Simplify the expression. Use the variables, numbers, and symbols that are shown. Drag them to the appropriate box in the polynom
lord [1]
= 2x²+3x+x²-7x+12
= 3x²-4x+12
3 0
3 years ago
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