What is the vertex of the quadratic function below?
y = x2 + 12x - 7

Answer:

tan(9pi/12) = 0.041146549

Step-by-step explanation:

Answer:

Symmetric Property of Equality

Step-by-step explanation:

The symmetric property of equality is a simple property that says we can interchange the sides of an equation without changing the truth-value of the equation. That is, if a = b, then b = a. Each side of the equation can be thought of as the mirror image of the other side.

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Answer:

1/3 fraction of whole paint is used by mark

Step-by-step explanation:

Mark used  1/2 out of 3/2 cans.

[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{3}{2} = \frac{1}{2}*\frac{2}{3}=\frac{1}{3}[/tex]

Answer:

[tex]2(a + 8) \\ if \: a = 7 \\ 2 \times (7 + 8) \\ 2 \times 15 \\ = 30 \\ [/tex]

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Answer:

[see below]

Step-by-step explanation:

There are 100 cm in a meter.

9.56/100 = 0.0956

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Answer:

so both tables are proportional

1. in the green table

y divided by x =

1/5 for each row

2. in the blue table

y divided by x =

2/5 for each row

Step-by-step explanation:

/ means divided by

divide y by x

for both tables

in each table

if y divided by x

show the same number

for every row

then its proportional

1. in the green table

y divided by x =

1/5 for each row

2. in the blue table

y divided by x =

2/5 for each row

so both tables are proportional

Answer:

abcdefghijklmnopqrstuvwxyz

Answer:

yes

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3 and c = - 4 , then

y = - 3x - 4 ← is the equation of the line

To determine if (- 2, 2) lies on the line, substitute x = - 2 into the equation and if y equals 2 then the point lies on the line.

y = - 3(- 2) - 4 = 6 - 4 = 2 ← true

Then the line passes through (- 2, 2 )

Explanation:

The "given the customer ordered a cold drink" means we only focus on the bottom row of values. There are B = 8+12+5 = 25 people who ordered a cold drink. Of that total, A = 5 people ordered a cold large drink.

The probability we want is A/B = 5/25 = 1/5 = 0.20 = 20%

Answer:

[tex] \boxed{y = 2x\: – \: 5} [/tex]

Answer:

x = 5 and y = 3

Step-by-step explanation:

5x - 3y = 16

3x - y = 12 multiply second equation by (-3)

(-3)*(3x-y) = 12*(-3) (remember we need to multiply both sides of the equation)

-9x + 3y = -36 now subtract this from the first equation

5x - 3y -9x + 3y = 16 - 36 (-3y will eliminate +3y)

-4x = -20 and 4x = 20 divide both sides by 4

x = 5 if 3x - y = 12 then 3*5 - y = 12

15 - y = 12

-y = -3 and y = 3

[tex] \sf Q) \: 19^{2} + 21^{2} = {?}[/tex]

[tex] \sf \to 19^{2} + 21^{2} [/tex]

[tex] \sf \to 361 + 441[/tex]

[tex] \sf \to 802[/tex] is the solution.

Answer:

A.

Step-by-step explanation:

A.-6r+6

Step-by-step explanation:

your answer will be ( 2m-3n)(2m-n)

Explanation is in the attachment

hope it is helpful to you

hope it is helpful to you

Step-by-step explanation:

[tex]4 {m}^{2} - 8mn + 3 {n}^{2} \\ 4 {m}^{2} - (2 + 6)mn + 3 {n}^{2} \\ 4 {m}^{2} - 2mn + 6mn + 3 {n}^{2} \\ 2m(2m - n) - 3n(2m - n) \\( 2m - 3n) \: (2m - n)[/tex]

Answer:

Get all the values of the histogram and put them in order:

For example 2,5,7,1,7,3  becomes 1,2,3,5,7,7 and then you get the middle number, which is in this case (3+5)/2=3.5

Then see which of the readings lie on 3.5.

Step-by-step explanation:

9514 1404 393

Explanation:

The histogram will have a count associated with each class. You may have to read the count from the vertical scale of the graph. If it is a histogram of relative frequencies, each class will have a fraction or percentage instead of a count.

Find the total of all counts. Determine what half that number is. If the total is odd, then round up to the nearest integer. This is the index number of the median value.

Add up the counts in the classes starting at one side of the graph, working toward the other side. (Left-to-right is the usual direction for doing this.) When you find the class that increases the total to a value equal or greater than the index number, this is the class that contains the median.

__

If the histogram is a relative frequency histogram, the class that brings the total to 50% is the one containing the median.

__

There may be cases where the total count is even, and the total of all of the classes up to a point is exactly equal to the index number you're looking for. In that case, the median is between that class and the next. Here's an example:

  class 1: count 3

  class 2: count 5

  class 3: count 4

  class 4: count 4

Total count: 3+5+4+4 = 16. Median index = 16/2 = 8

Total of classes 1 and 2 = 3+5 = 8. This means exactly half of the represented values are in class 2 or below, and half are in class 3 or above. If you had access to the actual data values, you would find the median as the average of the 8th and 9th data values (when they are sorted into increasing order). Here, the median might be estimated as the value halfway between the upper bound of class 2 and the lower bound of class 3.

__

2nd example

Consider the same histogram as above, but with a count of 3 in class 4. This brings the total count to 15, and the index of the median is 15/2 = 7.5, rounds to 8. Again, the 8th data value (median) is in class 2. There is no ambiguity in this case.

Given:

In quadrilateral EFGH, [tex]FG\parallel EH,\angleE\cong \angle H,EF=4n-4,FG=3n+3, GH=2n+6[/tex]

To find:

The length of segment GH.

Solution:

Draw a figure according to the given information as shown below.

In quadrilateral EFGH, [tex]FG\parallel EH,\angleE\cong \angle H[/tex], it means the quadrilateral EFGH is an isosceles quadrilateral because base angles are equal.

Now, quadrilateral EFGH is an isosceles quadrilateral, so the sides EF and GH are equal.

[tex]EF=GH[/tex]

[tex]4n-4=2n+6[/tex]

[tex]4n-2n=4+6[/tex]

[tex]2n=10[/tex]

Divide both sides by 2.

[tex]n=\dfrac{10}{2}[/tex]

[tex]n=5[/tex]

Now,

[tex]GH=2n+6[/tex]

[tex]GH=2(5)+6[/tex]

[tex]GH=10+6[/tex]

[tex]GH=16[/tex]

Therefore, the correct option is C.

Answer:

the answer is C

Step-by-step explanation:

:]

Answer:

Step-by-step explanation:

-x/8=12+11=23

-x=23*8=184

x=-184

x=-184Answer:

Step-by-step explanation:

Answer: 24 square cm.

8*6=48

48/2=24

Answer:

24 cm^2

Step-by-step explanation:

(w*h)/2

3(1/2x +4) = 2x +2

Use distributive property by multiply 3 by each term on the left side:

3/2x + 12 = 2x + 2

Subtract 12 from both sides:

3/2x = 2x -10

Subtract 2x from both sides:

-1/2x = -10

Multiply both sides by -2:

x = 20

Answer: x = 20

Answer:

8

Step-by-step explanation:

[tex] \frac{23}{2} = 11.5[/tex]

[tex]92 \div 11.5 = 8[/tex]

Answer:

2/12

Step-by-step explanation:

The answer is 2/12 because there are two dice, each with 6 sides and the probability on each dice is one sixth

Answer:

There is an infinite amount, but let say that x is 10, then:

5*10

y=50

A point(10, 50)

Answer:

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

7x-12<7x-7

-13<-7

no solution

Answer: i need the formula to help i promise i will but i need the formula for the slanted f

Step-by-step explanation:

Answer:

is 34

Step-by-step explanation:

^<- this is the square sing

f(1)+f(-2) for f(x)=4x^2+7

f(1)=4(1)^2+7

=4+7

f(1) =11

f(-2)=4(-2)^2+7

if you square -2 there will not be no -

-2 the whole square is 4

=4(4)+7

f(-2)=23

f(1)+f(-2)=11+23=34

:. The answer is 34

Hello!

14.8 = n - 0.3

n - 0.3 = 14.8

n = 14.8 + 0.3

n = 15.1 → value of n

Good luck! :)

Answer:

D: n = 15.1

Step-by-step explanation:

14.8 = n minus 0.3

14.8= n - 0.3

14.8    - is +
+
0.3
=
15.1
:D if u need help with more just ask!
I love this kind of math.

Answer:

hello!

where are you from ?

Step-by-step explanation:

option 4 is correct ...there is no constant ratio.

[tex]\displaystyle\ a(n)=-3(2)^ {n-1}\Longrightarrow a(10)=-3(2)^{10-1}=2^9\cdot -3=\boxed{-1536}[/tex]