Graph the equation y = x2 + 10x + 24 on the accompanying set of axes. You must
plot 5 points including the roots and the vertex.
GIVE ME THE POINTS!!

Given:

The table of values of an exponential function.

To find:

The missing values in the exponential function.

Solution:

The general exponential function is defined as:

[tex]y=a(b)^x[/tex]              ...(i)

Where, a is the initial value and b is the growth factor.

First point from the given table is (1,10). It means, the equation (i) must be true for (1,10).

[tex]10=a(b)^1[/tex]             ...(ii)

Second point from the given table is (2,20). It means, the equation (i) must be true for (2,20).

[tex]20=a(b)^2[/tex]             ...(iii)

Dividing (iii) by (ii), we get

[tex]\dfrac{20}{10}=\dfrac{a(b)^2}{ab}[/tex]

[tex]2=b[/tex]

Putting [tex]b=2[/tex] in (ii), we get

[tex]10=a(2)^1[/tex]

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

[tex]5=a[/tex]

Putting [tex]a=5,b=2[/tex] in (i), we get

[tex]y=5(2)^x[/tex]

The required exponential function for the given table of values is [tex]y=5(2)^x[/tex]. So, the missing values are 2 and x, where 2 is in the base and x is in the power.

Answer:no, The lines are skew

Step-by-step explanation:

I took the test

Answer: That is right

Step-by-step explanation:

Answer:

Step-by-step explanation:

This appears to be a scalene triangle. Therefore, it is a triangle, not regular. This is because scalene triangles have measures that are different on all sides and angles. Therefore, it is irregular.

Answer:

Plate Area = PI * radius^2

Plate Area = 3.14159 * 6 * 6

Plate Area = 113.09724  square inches

Plate Area = 113.1 square inches (rounded)

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

I'm pretty sure its just the same

Answer:

Total number of pupils who received the prize = 10

Step-by-step explanation:

Number of boys in the Math Quiz Competition = 40

Number of girls = 20

Percentage of girls who received the prize = 20%

Therefore, number of girls who received prize = 20% of 20

                                                                             = [tex]20\times \frac{20}{100}[/tex]

                                                                             = 4

Percentage of boys who received the prize = 15%

Therefore, number of boys who received the prize = [tex]40\times \frac{15}{100}[/tex]

                                                                                     = 6

Total number of pupils who received the prize = 4 + 6 = 10

Answer:36

Step-by-step explanation:

Given:

[tex]\cos A=\dfrac{4}{\sqrt{65}}[/tex]

[tex]\sin B=\dfrac{1}{\sqrt{2}}[/tex]

A and B both lies in I quadrant.

To find:

The value of [tex]\sin (A+B)[/tex].

Solution:

We know that, all trigonometric ratios are positive in first quadrant.

[tex]sin^2\theta +\cos^2\theta =1[/tex]

Using this we get

[tex]\sin^2A +\cos^2A =1[/tex]

[tex]\sin^2A +\left(\dfrac{4}{\sqrt{65}}\right)^2 =1[/tex]

[tex]\sin^2A +\dfrac{16}{65}=1[/tex]

[tex]\sin^2A =1-\dfrac{16}{65}[/tex]

Taking square root on both sides, we get

[tex]\sin A =\sqrt{\dfrac{65-16}{65}}[/tex]         [Only positive because A lies in I quadrant]

[tex]\sin A =\sqrt{\dfrac{49}{65}}[/tex]

[tex]\sin A =\dfrac{7}{\sqrt{65}}[/tex]

Similarly,

[tex]\sin^2B +\cos^2B =1[/tex]

[tex]\left(\dfrac{1}{\sqrt{2}}\right)^2 +\cos^2B =1[/tex]

[tex]\dfrac{1}{2}+\cos^2B =1[/tex]

[tex]\cos^2B =1-\dfrac{1}{2}[/tex]

Taking square root on both sides, we get

[tex]\cos B =\sqrt{\dfrac{2-1}{2}}[/tex]         [Only positive because B lies in I quadrant]

[tex]\cos B =\sqrt{\dfrac{1}{2}}[/tex]

[tex]\cos B =\dfrac{1}{\sqrt{2}}[/tex]

Now,

[tex]\sin (A+B)=\sin A\cos B+\cos A\sin B[/tex]

[tex]\sin (A+B)=\dfrac{7}{\sqrt{65}}\times \dfrac{1}{\sqrt{2}}+\dfrac{4}{\sqrt{65}}\times \dfrac{1}{\sqrt{2}}[/tex]

[tex]\sin (A+B)=\dfrac{7}{\sqrt{130}}+\dfrac{4}{\sqrt{130}}[/tex]

[tex]\sin (A+B)=\dfrac{11}{\sqrt{130}}[/tex]

Therefore, the exact value of [tex]\sin (A+B)[/tex] is [tex]\dfrac{11}{\sqrt{130}}[/tex].

Answer:

V = 9.75 cubic inches.

Step-by-step explanation:

Given the following data;

Length = 2 inches

Width = 3¼ inches

Height = 1½ inches

To find the volume of rectangular prism;

Volume of rectangular prism = length * width * height

V = 2 * 3¼ * 1½

V = 2 * 13/4 * 3/2

V = 2 * 39/8

V = 2 * 4.875

V = 9.75 cubic inches

Answer:

a

Step-by-step explanation:

Answer: 3

Step-by-step explanation: Start off by solving the right side of the equation: 4 x 2 is 8 and 6 - 3 is 3, and then you must do 8 x 3 which is 24. Now, the equation should look like this: 24 = 4 x _ x 2. Next, you should go a step further with the left side of the equation by multiplying 4 and 2. Now, the equation should look like this: 24 = 8 x _. For the final step, you must divide 8 on both sides to solve for the missing number. Since 24 divided by 8 is 3, your answer is 3.

Answer and Step-by-step explanation:

Expressions that represent the total area are:

6(m + n)

6n + 6m

(n + m)6

That is because to find the area of these rectangles, we multiply the length by the width. We would get 6m and 6n, which is one of those options.

Now, if we take out the 6 from each of the values, we get 6(m + n), or (n + m)6.

#teamtrees #PAW (Plant And Water)

Answer:

The answer is $2.52.

Step-by-step explanation:

56 x .045= $2.52

Answer:

area of trapezium = 20 in^2

Step-by-step explanation:

here's your solution

==> area of trapezium = 1/2*(sum of parrel side)*distance between them

==> length of parrel sides = 6 in and 2 in

==> height = 5 in.

==> area of trapezium = 1/2(6 + 2) * 5

==> area of trapezium = 20 in^2

hope it helps

Step-by-step explanation:

sorry for this

"i try so can you rate"

Answer: 4.44

HOPE THIS HELPS

I'll do the first four problems to get you started

====================================================

Problem 15

-----------------

Explanation:

The price dropped by $60, since 150-90 = 60. This is the discount, which is the amount you save. Divide this over the original price ($150) and we get 60/150 = 0.40 = 40%

Therefore, the price has been reduced by 40%. If we take 40% of 150, then 0.40*150 = 60 showing that 40% of $150 is 60 dollars. This matches up with the discount value mentioned earlier. So it helps verify the answer.

====================================================

Problem 16

-----------------

Explanation:

The pay raised by 12-10 = 2 dollars. So the percent increase is 2/10 = 0.20 = 20%

Note how 20% of 10 = 0.20*10 = 2 is the pay raise amount; meaning that 2 is 20% of 10.

====================================================

Problem 17

-----------------

Explanation:

I'll use a formula this time, but we could follow the same idea as the previous problems. This is to give another approach.

A = old value = 8

B = new value = 12

C = percent change

C = [ (B-A)/A ] * 100%

C = [ (12-8)/8 ] * 100%

C = (4/8)*100%

C = 0.50*100%

C = 50%

50% is the same as half of the value. Note how half of 8 is 4, ie 50% of 8 = 0.50*8 = 4. So this is the amount of increase when going from 8 to 12.

Side note: The "B-A" portion in the numerator represents the change in value. We divide this change over the original amount "A" and then multiply by 100% to get the percent change we're after.

====================================================

Problem 18

-----------------

Explanation:

I'll use the formula again

A = old value = 3.00

B = new value = 2.28

C = percent change

C = [ (B-A)/A ] * 100%

C = [ (2.28-3.00)/3.00 ] * 100%

C = (-0.72/3.00)*100%

C = -0.24*100

C = -24%

The negative percent change means we have a percent decrease. So we have a 24% decrease. Since your teacher is asking about how much the percent reduction is, we'll write the positive version of this percentage.

Problems 19 through 22 will follow the same ideas as shown in the previous problems.

Answer:

The amount is $1346.86 and the interest is $346.86.

Step-by-step explanation:

To start, use the formula A = P(1+[tex]\frac{r}{n}[/tex])ⁿ°ᵇ [In this case b = time in years]

So, P =  $1000, r = 6$, n = 4 and B = 5 years

After plugging it in you get,

                                                  A = 1000(1+[tex]\frac{.06}{4}[/tex])⁴°⁵

                                                  A = 1000 x 1.015^20

                                                  A = 1000 x 1.346855

                                                  A = 1346.86

To find the interest, use the formula A= P + I; Since A = 1346.86 and P = 1000 you get:

                                                  1346.86 = 1000 + I

                                                  I = 1346.86 - 1000

                                                  I = 346.86

Then you're finished! Hope this helped!

Brainliest would be appreciated! :)

Answer:

Hello Answer: V = 20

Step-by-step explanation:

Hope this helps!

9514 1404 393

Answer:

  v = 20 ft

Step-by-step explanation:

The similarity statement tells you the proportional sides:

  IH/IK = IG/IJ

  v/(10 ft) = (16 ft)/(8 ft)

  v = 10 ft × (16 ft)/(8 ft) = 10 ft × 2

  v = 20 ft

Answer:

The correct answer is this graph

Step-by-step explanation:

I just took the test #plato

Answer:  the answer is C, but make sure the C has the the line crossing on 0 and -1

Step-by-step explanation:

Took Test om Plato.

Answer:

3,826,679

Step-by-step explanation:

Answer:3,826,679

Step-by-step explanation:

Answer:

17.3 ft

Step-by-step explanation:

To find the second leg, use the following: √c² - a². Substitute c for 28, and a for 22.

b = √28² - 22² {Square 28 to get 784, and square 22 to get 484.}

b = √784 - 484 {Subtract 484 from 784 to get 300.}

b = √300 {Find the square root of 300.}

b = 17.32051 {Round to the nearest tenth.}

b = 17.3 ft.

The bottom of the ladder will be 17.3 ft from the bottom of the building.

I hope this helps! ^w^

Answer:

2 hours

Step-by-step explanation:

2,4,6,8,10,&12

1, 2,3, 4, 5, &6

Hope this helps :)

Answer:

37

Step-by-step explanation:

37

Answer:

115.3333

Step-by-step explanation:

346/3

Hope this helps. :)

Answer:

answer:

[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]

[tex] \frac{29}{8} - \frac{17}{8} [/tex]

[tex] \frac{29-17}{8} [/tex]

[tex] \frac{12}{8} [/tex]

[tex] \frac{3}{2} [/tex]

[tex] 1\frac{1}{2} [/tex]

is your answer.

Answer:

d i think

Step-by-step explanation:

Answer:

its 23.5

Step-by-step explanation:

Answer:

d 26

Step-by-step explanation:

AC=24

AB=AC/2=12

AD²=AB²+BD²

AD²=5²+12²=25+144=169

AD=√169=13

AE=2*13=26