Transform each of the following into a quadratic equantion in the form ax +bx + c = 0
x(x+5)=2

Answer:

12 inches.

Step-by-step explanation:

We know that the length of the stamp is 4/3 inches.

Let the width be x inches.

Then the area of the actual stamp is:

[tex]\frac{4}{3}x\text{ inches}^2[/tex]

We know that the rectangular picture of the stamp is 81 times greater than the actual stamp’s area. Therefore, the area of the picture is 81 times the above. So:

[tex]81(\frac{4}{3}x)\text{ inches}^2[/tex]

So, the area of the rectangular picture is the area of the actual stamp multiplied by a scale factor k.

When we use the scale factor to scale area, we need to square it. Hence, the area of the actual stamp times the scale factor squared is equal to the area of the rectangular picture. Therefore:

[tex]\frac{4}{3}x(k^2)=81(\frac{4}{3}x)[/tex]

Let’s solve for the scale factor. Divide both sides by 4/3(x). Hence:

[tex]k^2=81[/tex]

Take the square root of both sides:

[tex]k=9[/tex]

So, the scale factor from the actual stamp to the picture is 9.

So, the actual stamp has a length of 4/3.

Then ThThe length of the stamp’s picture will be:

[tex]\frac{4}{3}k[/tex]

Substitute 9 in for k to get:

[tex]=\frac{4}{3}(9)=12[/tex]

So, the length of the stamp’s picture is 12 inches.

Answer:

(2) A

Step-by-step explanation: easy Math

Answer:

1) Domain: -∞ < x < +∞

2) Range: y > 0

3) y intercept: (0, 200)

4) Asymptote: y = 0

5) The growth rate; r = 0.08

6) The growth factor = 1.08

7) End Behavior: As x → -∞, f(x) → 0

8) End Behavior: As x → +∞, f(x) → +∞

Step-by-step explanation:

1) The domain of the function is given as the x values for which the function is valid which includes from -∞ < x  to +∞

2) The range of the function, are the range of the output values of the function for the given range of the input values

For the function, f(x) = 200·(1.08)ˣ, we have, f(x) = y > 0, for all values of x

3) The y-intercept is the value of y, when x = 0, given as follows;

y intercept = f(0) = 200·(1.08)⁰ = 200 × 1 = 200

4) The asymptote is the line that the function approaches but never reaches

In the question, as x tends to -∞, the function f(x) approaches 0. Therefore, f(x) = y = 0 is the asymptote of the function

5) The growth rate of an exponential function, y = a(1 + r)ˣ is r

Therefore, for the function, 200·(1.08)ˣ, which is equivalent to 200·(1 + 0.08) ˣ, the growth rate = 0.08

6) The growth factor of an exponential function, y = a(1 + r)ˣ is (1 + r)

Therefore, for the function, 200·(1.08)ˣ, which is equivalent to 200·(1 + 0.08) ˣ, the growth factor = (1 + 0.08) = 1.08

7) The end behavior as x tends to -∞, [tex]f(x) = y= 200 \cdot (1.08) ^{-\infty} \rightarrow 0[/tex]

8) The end behavior as x tends to +∞, [tex]f(x) = y= 200 \cdot (1.08) ^{-#+\infty} \rightarrow + \infty[/tex]

The texts that complete the blanks are:

The domain

The domain of an exponential function is all set of real numbers.

So, the domain is: -∞ < x < +∞

The range

The range of an exponential function is always greater than 0.

So, the range is y > 0

The y-intercept

This is when x = 0.

So, we have:

[tex]f(x) = 200(1.08)^x[/tex]

This gives

[tex]f(0) = 200(1.08)^0[/tex]

[tex]f(0) = 200[/tex]

So, the y-intercept is (0,200)

The asymptote

This is the line that is close to the function but is not on the function.

The range is:

y > 0.

So, the asymptote is y = 0

The growth rate and the growth factor

The function is given as:

[tex]f(x) = 200(1.08)^x[/tex]

The growth factor is 1.08, while the growth rate (r) is calculated as:

[tex]r = 1.08 - 1[/tex]

[tex]r = 0.08[/tex]

Hence, the growth rate is 0.08, and the growth factor is 1.08

The end behavior

The end behavior of an exponential growth function is:

a x → -∞, f(x) → 0 and as x → +∞, f(x) → +∞

Read more about exponential function at:

https://brainly.com/question/11464095

Answer:

Alternate interior angles

Answer:

its B

cos X= 12/15= 0.80

Step-by-step explanation:

i just took the test

Answer:

61 tickets

Step-by-step explanation:

It is given that,

The total profit from the Spanish club fund-raiser varies directly with the number of dinner tickets sold.

If the sale of 22 tickets results in a profit of $253.

Profit in 1 ticket = [tex]\dfrac{253}{22}=\$11.5[/tex]

Let x tickets are sold in order to reach the fund-raising goal of $700.

[tex]x=\dfrac{22}{253}\cdot700\\\\=\$60.86[/tex]

or

= 61 tickets

Hence, 61 tickets must be sold to reach the fund-raising goal of $700.

Complete question :

In one year, the population of Douglas, the former copper mining town on the U.S.-Mexico border, shrunk by 200. Over the last ten years, the town’s population is going down at an average rate of 1.16% per year. Douglas’ current population in November 2020 is 15,140. a. Write an equation to model the population decay of Douglas using the data given. b. If the town’s population loss continues to occur at this rate, what will the population of Douglas in 6 months from now? Round your answer to the nearest integer. c. If the town’s population loss continues to occur at this rate, what will the population of Douglas in one year? Round your answer to the nearest integer. d. If the town’s population loss continues to occur at this rate, what will the population of Douglas in November 2027? Round your answer to the nearest integer.

Answer:

15052 ; 14,964 ; 13953

Step-by-step explanation:

Given that:

Rate of population decline = 1.16% annually

Population in November 2020 = 15140

A = I(1 - r)^t

Where ;

A = final population

I = initial population

r = rate of decline

t = number of years

Population in 6 months

t = 6 months = 0.5 year, r = 1.16% = 0.0116

A = 15140(1 - 0.0116)^0.5

A = 15140(0.9884)^0.5

A = 15051.931

A = 15052 ( nearest integer)

Population after 1 year :

A = 15140(1 - 0.0116)^1

A = 15140(0.9884)^1

A = 14964.376

A = 14964 ( nearest integer)

Population in 2027:

t = 2027 - 2020

A = 15140(1 - 0.0116)^7

A = 15140(0.9884)^7

A = 13952.596

A = 13953 ( nearest integer)

Answer: C. Sesame oil freezes at a lower temperature than peanut oil because −6.2 °C < 3.1 °C

Step-by-step explanation:

Given that:

Freezing point of sesame oil = - 6.2°C

Freezing point of peanut oil = 3.1°C

Comparing the two temperatures :

Freezing(when a substance turns to solid) usually occurs at low temperatures. The temperature of sesame oil(-6 2°C) is lower than that of peanut oil(3.1°C).

Hence, it can be concluded that Sesame oil freezes at lower temperature than peanut oil.

Mathematically,

-6.2°C < 3.1°C

Answer:

Answer: C. Sesame oil freezes at a lower temperature than peanut oil because −6.2 °C < 3.1 °C

Step-by-step explanation:

Answer:

answer and explanation in pics above

if u have any questions , pls list them in comments

Answer:

Y= 3

Step-by-step explanation:

To do this u can subtract -4 on each side. Whatever u do to one side of the equal sign u have to do to the other.

+4 and -4 cancel each other out

-11 + -4 = -15

The next step is to divide -5y on each side.

-5y divide by negative -5y cancel each other out leaving the y isolated.

-15 divided by -5 gives u positive 3.

So the answer is y=3

Answer:

9

Step-by-step explanation:

The blank is 9. You are just multiplying 3 times 3 which gives 9 because 3 squared is just multiplying it with itsself.

Hope this helped! :)

Answer:

Do 01 to x/21 and then it will get 0–238

Step-by-step explanation:

5

Responder:

x = 1100

y = 2350

z = 6550

Explicación paso a paso:

Dejemos que los 3 números = x, y, z (dispuestos en orden ascendente)

Diferencia entre los dos más pequeños:

y - x = 1250

y - 1250 = x - - - (1)

Diferencia entre los dos más grandes:

z - y = 4200

z = 4200 + y - - - (2)

x + y + z = 10000 - - - (3)

Sustituya (1) y (2) en (3)

y - 1250 + y + 4200 + y = 10000

3 años + 2950 = 10000

3 años = 7050

y = 2350

x = 2350-1250

x = 1100

z = 4200 + 2350

z = 6550

Answer:

4 divided by 5 is equal to 0.8. This decimal can also be written as a fraction. 0.8 = eight tenths or 8/10 (4/5 in its reduced form).

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

4 groups of 0.8=5?

(I didn't fully understand the question, but this is the answer that I would put)

Answer:

no not me sorry I wish I could help.

Answer:

3

Step-by-step explanation:

8+(-5) = 8-5 (One plus and one minus makes one minus)

         = 3

Answer:

3

Step-by-step explanation:

First put 8 in the calculator and then you press + and then you click 5 and then negative.

Answer:

I don't really know if i have enough information to solve this problem, but if you call the schools desk fund x and the amount of money a desk costs y then you can make an equation. x is the total value of money you have to spend. X-y is how much money is left after one desk is purchased. Sorry if this wasn't any help, I cannot really understand this question!

Answer:

110$

Step-by-step explanation:

Answer: 40%

Step-by-step explanation:

It shows 4/10 which is 40%

Answer:

k=−15

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(3k−10)+1=8( 3 /2 k+2)

(3)(3k)+(3)(−10)+1=(8)( 3 /2 k)+(8)(2)(Distribute)

9k+−30+1=12k+16

(9k)+(−30+1)=12k+16(Combine Like Terms)

9k+−29=12k+16

9k−29=12k+16

Step 2: Subtract 12k from both sides.

9k−29−12k=12k+16−12k

−3k−29=16

Step 3: Add 29 to both sides.

−3k−29+29=16+29

−3k=45

Step 4: Divide both sides by -3.

−3k /−3 = 45 /−3

k=−15

Answer:

8

Step-by-step explanation:

Answer:

x> -14/-3

Step-by-step explanation:

You start with the question -3x+4<-10

this you subtract 4 from both sides, now you have -3x<-14

now you need to isolait x by dividing both by -3x now you have x > -14/-3

I really hope this helps

Answer:

Second Option

Third Option

Step-by-step explanation:

Remember a integer is a number that isn't a fraction nor a decimal so the first option and the fourth option isn't a integer. Leaving the second and third option or "2, and 0" because integers are whole numbers that can be negatives, positives or even just a zero.

Hope this helps.

Answer:

freepoints freepoints freepoints freepointsfreepoints freepointsfreepoints freepointsfreepoints freepointsfreepoints freepointsfreepoints freepointsfreepoints freepointsfreepoints freepoints

Answer:

The second table I promise

Step-by-step explanation:

Because:

1x4 is 4 and 3x4 is 12

1x5 is 5 and 3x5 is 15

1x7 is 7 and 3x7 is 21

1x11 is 11 and 3x11 is 33

Answer: b) [tex]1+\frac{1}{2} +\frac{1}{4} +\frac{1}{8}+...[/tex]

Step-by-step explanation:

Converges means it gets smaller or the ratio has an absolute value of less than 1. The bottom 2 you can see that their ratios are greater than 1, and the top one you can see that it progressively gets bigger.

So option B is correct.

Answer: option B

Step-by-step explanation:

Answer:

B SIR

Step-by-step explanation:

Answer:

Alfred ate 24 hot dogs.

Step-by-step explanation:

Let the number of hot dog ate by Olafs be represented by b.

Since Olafs eats five fewer than triple the hot dogs Alfred eats, and Alfred ate a hot dogs. This can be expressed in a mathematical equation as follows;

b = 3a - 5

But Olafs eats 67 hot dogs, so that b = 67. Thus;

b = 3a - 5

67  = 3a - 5

67 + 5 = 3a

3a = 72

divide both sides by 3 to have;

a = [tex]\frac{72}{3}[/tex]

a = 24

Alfred ate 24 hot dogs.

Answer:OMG I THINK WE HAVE A SAMME CLASS TOGATHER

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

the number sequence is upside down