How do you complete the square of h(x)= x^2 + 6x + 7

Answer:

1 point. O (0,0)

Step-by-step explanation:

Hi

Invariant points are those points who remain on the same location after a given transformation.

1.  Plotting OABC we have it below:

2. Whenever we dilate centered, the image O'A'B'C' will be determined by the following points:

[tex]O'(0,0) \:A'(3,0) B'(6,6) \:and\:C'(0,6)[/tex]

Since the Scale factor is (2)

3. Check it out O'A'B'C' below

4. On the perimeter of O'A'B'C' (enlarged OABC) we have left 1 point invariant.

Answer:

The answer would be 2

Answer: 26.46cm

Step-by-step explanation:

The formula of a diagonal of a square is square root 2 a(a is not under the square root though)

So just substitute the a (area) with 350 and solve the equation.

Answer:

26.46cm

Step-by-step explanation:

Because you are dealing with a square, take the square root of the area and then use pythagoras theorem to calculate the diagonal.

Answer:

1. B

2. A

3. A

4. C

Step-by-step explanation:

ask specific questions for explanations of the answers

Answer:

[tex]x=-1/2[/tex]

Step-by-step explanation:

[tex]4^x=1/2[/tex]

Make the bases 2 on both sides of the equation.

[tex]2^{2^x}=2^{-1}[/tex]

Multiply the exponents.

[tex]2^{2x}=2^{-1}[/tex]

Cancel the bases.

[tex]2x=-1[/tex]

Divide 2 into both sides of the equation.

[tex]x=-1/2[/tex]

Answer:

second graph

Step-by-step explanation:

direct variation is recognized as y=mx+b, where b=0

y=0 when x=0

the function has (0,0) point

it appears in the second graph only, so the answer is the second graph

Answer:

6/11

Step-by-step explanation:

Since there are 3 possible outcomes for the game (win,lose and draw) and the total probability for the three outcomes must be equal to 1.

Then;

The probability that the game will be a draw Pd = 1 - (probability that they will lose Pl + probability that they will win Pw)

Pd = 1 - (Pl + Pw) ........1

Given;

Pl = 3/11

Pw = 2/11

Substituting the values into equation 1;

Pd = 1 - (2/11 + 3/11)

Pd = 6/11

The probability that the game will be a draw Pd = 6/11

Answer: 15

Step-by-step explanation:

6 percent of 250 is 15

15/250 = 6%.

Answer:

6% = 6/100 = 0.06

250 x 0.06 = 250 x 6 / 100

250 x 6 = 1500 / 100 = 15

15 tickets are mine

Hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let sharma age be S and Ankit age be A

S = 3a

(s-10) = 5(a-10)

substitute 1 in 2

3a-10 = 5a -50

40 = 2a

a = 20

s = 3 * 20 = 60

Answer:

Step-by-step explanation:

Pat's Potato farm grew 490 pounds of potatoes. If Pat delivered 3/7 of the potatoes to the vegi stand, it means that the number of pounds of potatoes that pat delivered to the vergi store is

3/7 × 490 = 210 pounds

The owner of the vegi stand delivered 2/3 of the potatoes he bought to the grocery store. It means that the amount delivered to the grocery store is

2/3 × 210 = 140

If half of the delivered potatoes was packaged in bags of 5 pounds each, it means that the amount of potatoes packaged in the bags is 140/2 = 70 pounds.

The number of bags of 5 pounds that the grocery store packaged is

70/5 = 14 bags

Answer:

2/5

Step-by-step explanation:

4 blue pairs of pants, 2 black pairs of pants, 1 white pair of pants, and 3 tan pairs of pants = 10 pairs of pants

P( blue) = blue pants / total pants

             = 4/10

             =2/5

Answer:

The range is [-1, ∞).

Step-by-step explanation:

The  points where the graph of this function cut the x axis are at x = 2 and x = 4 ,  it opens upwards and has a minimum  value.

It has a minimum value  when x = (2 + 4) / 2 = 3.

When x = 3,  f(x) =  (3 - 4)(3 - 2) = -1.

So the range is all real values of x >= -1, or [-1, ∞)

Answer:30%

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

Option C would map (1,3) to (-1,4).

[tex](x,y)\rightarrow(x-2,y+1)[/tex]

[tex](1,3)\rightarrow(1-2,3+1)\rightarrow(-1,4)[/tex]

1 - 2 = -1

3 + 1 = 4

Option C should be the  correct answer.

Answer: 3rd option (x-2, y+1)

Step-by-step explanation:

1-2 = -1

3+1 = 4

Answer:

penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis penis

Answer:

The last answer choice is the correct answer

Step-by-step explanation:

im hoping this helped, if not im sorry.

Answer: x= -1/2 y=3/4

Step-by-step explanation:

Answer:

x = -4y + 5/2

Step-by-step explanation:

step 1: 2x +8y + -8y = 5 + -8y

2x = -8y+ 5

step 2: divide both sides by 2

2x /2 = -8y+5/2

x= -4 + 5/2

Answer:

A

Step-by-step explanation:

If u want to find nathan’s Age then 4f equals to Nathan

If u want to find fred’s age then nathan’s Age plus 27

Hope this helps

Answer:

1). Other line is, y = [tex]\frac{1}{3}x+5[/tex]

2). Solution of the system is (3, 6)

Step-by-step explanation:

From the table (1),

Let the equation of the line from the given table is,

y - y' = m(x - x')

Where m = slope of the line

(x', y') is a point lying on the line.

Choose two points from the table which lie on the line.

Let the points are (0, 5) and (3, 6)

Slope = m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

                 = [tex]\frac{5-6}{0-3}[/tex]

                 = [tex]\frac{1}{3}[/tex]

Therefore, equation of the will be,

y - 5 = [tex]\frac{1}{3}(x-0)[/tex]

y = [tex]\frac{1}{3}x+5[/tex] -------(1)

Let the other line from the table (2) is,

y - y" = m'(x - x")

Two points taken from this table are (0, 7) and (3, 6)

m' = [tex]\frac{7-6}{0-3}[/tex]

    = [tex]-\frac{1}{3}[/tex]

Equation of the line will be,

y - 7 = [tex]-\frac{1}{3}(x-0)[/tex]

y = [tex]-\frac{1}{3}x+7[/tex] -------(2)

Therefore, equation of the other line will be, y = [tex]\frac{1}{3}x+5[/tex]

By adding equations (1) and (2),

y + y = [tex]-\frac{1}{3}x+\frac{1}{3}x+5+7[/tex]

2y = 12

y = 6

From equation (1),

6 = [tex]\frac{1}{3}x+5[/tex]

[tex]\frac{1}{3}x=7-6[/tex]

x = 3

Therefore, solution of the system is (3, 6).

Answer:

The first line is 1/3x and 5. For the second line the answer is (3,6).

Answer:

0.42

Step-by-step explanation:

The original price of the old hardcover books was sold for b dollars. But the manager markdown the hardcover books by 42%.

The expression of the markdown using a decimal can be represented below.

Recall the markdown is 42 %. If you want to convert from percentage to a decimal, you have to move the decimal point two places to the left . The percentage sign is removed at this stage and the value is represent in decimal.  Or you can just divide the percentage value by 100.

In our case the percentage value can be solved as 42/100 = 0.42 in decimal or by just simply moving the decimal points two places to the left which is 0.42.

Answer:

8.50x [tex]\geq[/tex] 348.50

41 hours

Step-by-step explanation:

x= amount of hours

Answer:

D. [tex] \frac{4 \sqrt{33} }{33} [/tex]

Step-by-step explanation:

[tex] \tan \alpha = \frac{4}{ \sqrt{33} } \\ = \frac{4}{ \sqrt{33} } \times \frac{ \sqrt{33} }{ \sqrt{33} } \\ \\ = \frac{4 \sqrt{33} }{ {( \sqrt{33)} }^{2} } \\ \\ \tan \alpha = \frac{4 \sqrt{33} }{33} [/tex]

Answer:

325 adults

Step-by-step explanation:

x=#adults

y=#children

x+y=937

2x+0.75y=1109

2x+2y=1874

-2x-0.75y=1109

1.25y=765

y=612

x=937-612

x=325

Answer:

-40

At -40, the value on both scales are the same.

-40 °C = -40 ° F

Step-by-step explanation:

Given that;

F = temperature in Fahrenheit

C = temperature in Celsius

And;

F=(9C+160)/5 .........1

For temperature to be the same on both scale;

Temperature in Fahrenheit mist be equal to the temperature in Celsius

F = C

Substituting F = C into the equation 1;

C = (9C +160)/5

Multiply both sides by 5

5C = (9C+160)

Collecting the like terms.

5C -9C = 160

-4C = 160

C = -160/4

C = -40

F = C = -40

At -40, the value on both scales are the same.

That means;

-40 °C = -40 ° F

Answer:

300%

Step-by-step explanation:

Let the length of the carpet be L.

Let the width of the carpet be W.

The original area of the carpet is:

A = L * W = LW

The length and width are enlarged by 60%.

The new length is:

L + (L * 60/100) = L + 0.6L = 1.6L

The new width is:

W + (W * 60/100) = W + 0.6W = 1.6W

The length and width are then reduced by 25%.

The new length is:

1.6L + (1.6L * 25/100) = 1.6L + 0.4L = 2L

The new width is:

1.6W + (1.6W * 25/100) = 1.6W + 0.4W = 2W

The new area will be:

A = 2L * 2W = 4LW

To find the percentage increase in the area, we subtract the original area from the new area and divide by the original area:

4LW - LW = 3LW

% increase is:

[tex]\frac{3LW}{LW} * 100[/tex] = 300%

The area of the final item is 300% greater than the original item.

Answer:

44%

Step-by-step explanation:

;)

Answer:

Option (B)

Step-by-step explanation:

If A = [tex]\begin{bmatrix}1 & 3\\ -2 & 5\end{bmatrix}[/tex] and B = [tex]\begin{bmatrix}-2 & 1\\ 3 & 4\end{bmatrix}[/tex]

Multiplication of these matrices,

A.B = [tex]\begin{bmatrix}1 & 3\\ -2 & 5\end{bmatrix}\times \begin{bmatrix}-2 & 1\\ 3 & 4\end{bmatrix}[/tex]

      = [tex]\begin{bmatrix}(1(-2)+3(3) & 1(1)+3(4)\\ (-2)(-2)+5(3) & 1(-2)+5(4)\end{bmatrix}[/tex]

      = [tex]\begin{bmatrix}7 & 13\\ 19 & 18\end{bmatrix}[/tex]

Therefore, Option (B) will be the answer.

Answer:

Alex will be able to earn $60 for that 4-week period.

Step-by-step explanation:

It is given that

Income to Alex each week by babysitting and running errands:

$20.

To find the 4-week period earning, we need to add the value $20 for 4 times:

20 + 20 + 20 + 20 = $80

OR

In other words, 4 week period earning = 4 [tex]\times[/tex] 20 = $80

But, Alex was sick at one of the weekends, so $20 would be earned less.

Hence, during that 4-week period, total earning = $80 - $20

[tex]\Rightarrow[/tex] $60

So, Alex will be able to earn $60 for that 4-week period.

Answer:

[tex]1538.6mm^{3}[/tex]

Step-by-step explanation:

[tex]V=\pi r^{2} h[/tex]

[tex]V=3.14*7^{2} *10[/tex]

[tex]V=31.4*49=1538.6[/tex]

Answer:

Option B.

Step-by-step explanation:

If the value of function is 0 at x=c, then c is a root or zero of the function. It means the graph of function intersect x-axis at its zeroes.

From the given table it is clear that the value of function are

x  |  f(x) | Sign

2.0 |  2.8  | Positive  

2.5 |  1.1    | Positive

3.0 | –0.8 | Negative

3.5 | –1.2  | Negative

4.0 | –0.3 | Negative

4.5 |  0.7  | Positive

The sign of values of function changes in interval 2.5-3.0 and 4.0-4.5.

It means, the graph of function must intersect x-axis in interval 2.5-3.0 and 4.0-4.5. So, the zeros of the function lie between 2.5 and 3.0 and between 4.0 and 4.5.

Therefore, the correct option is B.

Answer:

between 2.5 and 3.0 and between 4.0 and 4.5

Step-by-step explanation:

B on my computer but always double check!

This is a [tex]90^\circ[/tex] sector of a circle of radius 8, or one-fourth of the circle, so the area is [tex]\frac{\pi(8)^2}{4}=\boxed{16\pi}.[/tex]

Answer: 50.2656

Step-by-step explanation: