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Nostrana [21]
3 years ago
10

The vertex form of the equation of

Mathematics
1 answer:
Ivan3 years ago
4 0

Answer:

The standard form of the equation is y = 2x^2 + 16x + 25

Step-by-step explanation:

To find the standard form, first square the parenthesis.

y = 2(x + 4)^2 - 7

y = 2(x^2 + -8x + 16) - 7

Now distribute the 2

y = 2(x^2 + 8x + 16) - 7

y = 2x^2 + 16x + 32 - 7

Now combine like terms

y = 2x^2 + 16x + 32 - 7

y = 2x^2 + 16x + 25

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Based on the data set shown, which of the following is a true statement?
timama [110]

Answer:

mean = mode

Step-by-step explanation:

To make this easier, let's find the mean, median, and mode.

Mean: Sum of a set of numbers divided by number of terms

Median: Middle number of data when data is in numerical order

Mode: Number that occurs most often in data

To find the mean, add all the values together. -1 - 1 + 0 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 = 11. Now, divide by the number of terms, which is 11. 11/11 = 1. The mean is 1.

To find the median, look at the number in the middle of the data. -1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3. The median is 1.

To find the mode, look at the number that occurs most often. There are 4 1's, so the mode is 1.

Since all numbers are equal, the only possible answer is the first option.

3 0
3 years ago
The measure of one of the small angles of a right triangle is 14 more than 3 times the measure of the other small angle. Find th
anzhelika [568]

Step-by-step explanation:

Lets assume that angle of right angle trangles are <a,<b and <c

here one of the angle is 90°

so, <a=90°

now,

By the question

<c=3×<b+14

again,

<a+<b+<c=180° (being sum of interior angles of trangles)

90°+<b+(3×<b+14)=180° ( including the value of <a and <c)

90°+<b+3<b+14=180°

4<b=180-90-14

<b=86/4

<b=19°

<c=3×<b+14

=3×19+14

<c=71

smallest angle is 19°

and another small angle is 71°

3 0
3 years ago
Mark has no basketballs. cat has eight basketballs and Sophia has six balls how many do they have all together?
Aleks04 [339]

14 because Mark has none, Cat has 8 and Sophia has 6 so 8+6=14.

4 0
3 years ago
SOMEONE HELP ASAP PLEASE
zavuch27 [327]
If the temperature drops, then you must have subtract amount of drop from initial temperature.
                       -12,3^o-6,8^o=-(12,3^o+6,8^o)=-19,1^o

The correct answer is the first one.
8 0
3 years ago
What is the answer to <br> 7y + 5 + (3 - y)?
Nataliya [291]
Answer with factoring: 2(3y+4)

Answer with simplifying: 6y+8
4 0
3 years ago
Read 2 more answers
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