What are the solutions to the quadratic function. f(x) = x^2+4x-12

Answer:

5*3*7+7=112

Step-by-step explanation:

5*3*7=105+7=112

Answer: 112

Step-by-step explanation:

5 x 3 x 7 + 7

5 x 3 = 15

15 x 7 = 105

105 + 7 = 112

Answer is 112

Answer:

300 km in 5 hours is the rate

unit rate is how much in one unit

in this case the unit is one hour

60km / hour

The project in her Geometric class is an illustration of equivalent ratios

The approximated height of the flagpole is 13.19 meters

The given parameters are:

Distance from flagpole (D) = 14.25

Distance to the other side of the mirror (d) = 1.35

Kylie's height (h) = 1.25

To calculate the height (H) of the flagpole, we make use of the following equivalent ratios

[tex]\mathbf{D :d = H :h}[/tex]

Substitute known values

[tex]\mathbf{14.25 :1.35 = H :1.25}[/tex]

Express as fraction

[tex]\mathbf{\frac{14.25 }{1.35 }= \frac{H }{1.25}}[/tex]

Multiply both sides by 1.25

[tex]\mathbf{H = 1.25 \times \frac{14.25 }{1.35 }}[/tex]

Multiply

[tex]\mathbf{H = 13.19 }[/tex]

Hence, the approximated height of the flagpole is 13.19 meters

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the answer to the question is 11/4

Answer A is correct.

Step-by-step explanation:

Negative one is less than one.

Answer:

The probability that a costumer will be seated at a round table are 44/60 and the probability that he will be seated by the window is 13/60

The probability that a customer will be seated at a round table is  [tex]\frac{19}{30}[/tex]  and  by the window is [tex]\frac{13}{60}[/tex].

Probability is a ratio of the number of favorable outcomes to the number of possible outcomes of the experiment.

Probability [tex]=\frac{Number \ of\ outcomes}{Number\ of\ possible\ outcome}[/tex]

We have,

Total number of tables [tex]=60[/tex]

Number of round tables [tex]=38[/tex]

Number of tables located by the window [tex]=13[/tex]

Number of round tables located by the window [tex]=6[/tex]

Now,

Number of possible outcomes customer will be seated at a round table [tex]=38[/tex]

So,

Probability of seated at a round table [tex]=\frac{Number \ of\ outcomes}{Number\ of\ possible\ outcome}[/tex]

                                                                [tex]=\frac{38}{60}=\frac{19}{30}[/tex]

Now,

Number of possible outcomes customer will be seated by the window [tex]=13[/tex]

Probability  of seated by the window[tex]=\frac{Number \ of\ outcomes}{Number\ of\ possible\ outcome}[/tex]

                                                               [tex]=\frac{13}{60}[/tex]

So, probability that a customer will be seated at a round table is  [tex]\frac{19}{30}[/tex]  and  by the window is [tex]\frac{13}{60}[/tex].

Hence, we can say that the probability that a customer will be seated at a round table is  [tex]\frac{19}{30}[/tex]  and  by the window is [tex]\frac{13}{60}[/tex].

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Answer:

339,006 that's the answer

Answer:

glucose, sunlight and oxygen on the left (they go in the cell)

water and carbon dioxide on the right (they go out of the cell)

Answer:

D) y= 4x - 1

Step-by-step explanation:

We are basically trying to see which of the equations provided are true on both sides of the equal sign when you plug in the x and y values.

Let's start!

Choice A:

  plug in 0 for x and -1 for y

-1 = 4(0)

And you are left with...

-1 = 0

This equation is false! Therefore it does not match the function in the table

Choice B:

   plug in the values again

-1 = 0 + 1

-1 = 1

False!

Choice C:

-1 = 0 + 5

-1 = 5

False!

Lastly...Choice D:

-1 = 4(0) -1

Multiply 4 and 0 which is 0, so you are left with...

-1 = -1

This equation is true!!

So your answer is D

Hope this helps :D

Answer:

I will what is the question?

Answer:

What is the question lol

Step-by-step explanation:

I can try to help!

Answer:

no solution

Step-by-step explanation:

U=5t+2

5t=u+3

5t=5t+5

t=t+1

0=1

No solution

Answer:

I sorry but I don't get this question

The area of the pool is the amount of space it occupies

The expression for the area and the perimeter are [tex]\mathbf{A = 15x + x^2}[/tex] and  [tex]\mathbf{P = 4x +30}[/tex], respectively

Let the dimension of the pool be x and y, where x represents width and y represents length.

So, the relationship between the width and the length is given as:

[tex]\mathbf{y = 15 + x}[/tex]

The area of the pool would be:

[tex]\mathbf{A = xy}[/tex]

Substitute 15 + x for y

[tex]\mathbf{A = x(15 + x)}[/tex]

Open bracket

[tex]\mathbf{A = 15x + x^2}[/tex]

And the perimeter of the pool would be

[tex]\mathbf{P = 2(x + y)}[/tex]

Substitute 15 + x for y

[tex]\mathbf{P = 2(x +15 + x)}[/tex]

[tex]\mathbf{P = 2(2x +15)}[/tex]

Open brackets

[tex]\mathbf{P = 4x +30}[/tex]

Hence, the expression for the area and the perimeter are [tex]\mathbf{A = 15x + x^2}[/tex] and  [tex]\mathbf{P = 4x +30}[/tex], respectively

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Answer:

s = 250

a = 225

Step-by-step explanation:

Because they both earned a total of 475 dollars, the total amount of the two is 475. Because a represents Alto's earnings, and s represents Sheryl's earnings, we have [tex]a+s=475[/tex]

Sheryl also earned 25 more dollars than Alto, so the value of s is 25 larger than a: [tex]s=a+25[/tex]

By graphing, we can let s = y and a = x, so we have the following equations:

[tex]x + y=475\\y=x+25[/tex]

Plugging this into Desmos, we have this: (look at screenshot uploaded)

We see that y, or Sheryl's amount is around 250, and x, or Alto's amount is in the middle of 200 and 250, roughly about 225.

Now, we can solve for a and s. Because the value of s is equal to a + 25, we can represent s as a + 25 in the first equation: [tex]a + (a + 25) = 475[/tex]. Combining like terms, we have [tex]2a+25=475[/tex], and [tex]2a = 450[/tex]. Dividing, we have [tex]a = 225[/tex], and since s is 25 more than 225, we have [tex]s = 250[/tex]

The amount we estimated was around what we solved for. We found that the solution, or the value where both cases are true is around 250 and 225 for Sheryl and Alto's earnings.

Answer:

78.333333333

Step-by-step explanation:

Answer:

21, and 23

Step-by-step explanation:

divide 44 by 2 to find the integer that spits it up perfectly into two. Then just add 1 to one 22 and minus 1 to the other. Then its 21 and 23.

Answer:

15 years old

Step-by-step explanation:

You would have to create a equation. 2x+3=33, 2x=30, x=15.

Answer:

48

I hope it helps.

Answer:

$12,845.80

Step-by-step explanation:

take the first number and go +7%. repeat four times

hope this helps :-)

Answer:

part a: If  x  represents the number of pounds of cabbage and  y  represents the price in dollars, then  (5, 2)  means that  5  pounds of cabbage costs  $2.00.  If that is true, then  1  pound of cabbage will cost  $0.40. (divide both values by 5)

The ordered pair  (10, 4)  means that  10  pounds of cabbage cost  $4.00.

explanation: sorry its late but hope it helps

Answer:

Step-by-step explanation:

slope of y = x - 18

slope: 1

y-intercept: y = x - 18

y= 0 - 18= -18

y-int: (0, -18)

Hello! :)

√99=9.95...

π²=9.9

9.8888...

So I think the numbers should be written like this:

9.8888, √99, π²

Hope it helps!

~Just a determined gal

[tex]MysteriousNature[/tex]

Answer:

540°

Step-by-step explanation:

inter angle vertex = 135°

135 + 135 + 135 + 135 = 540°

Answer:

Step-by-step explanation:

The exponent of 1 can be ignored. This means we're simplifying ...

  [tex]\left(\left(\dfrac{3}{4}\right)^{-2}+\dfrac{1}{\left(\dfrac{3}{4}\right)}\right)^{3/4}=\left(\dfrac{16}{9}+\dfrac{4}{3}\right)^{3/4}=\left(\dfrac{28}{9}\right)^{3/4}\\\\=\left(\dfrac{28\cdot9}{3^4}\right)^{3/4}=\boxed{\dfrac{252^{3/4}}{27}}\qquad\text{rational exponent form}\\\\=\boxed{\dfrac{\sqrt[4]{252^3}}{27}=\dfrac{\sqrt[4]{16003008}}{27}}\qquad\text{radical form}[/tex]

Answer:

2.5 sq. inches

Step-by-step explanation:

Explanation is given in the pic attached.

Area of triangle= 1/2* base* height

Hope this helps!

The area of the flag when the base is 2 inches and the height is 2.5 inches is 2.5 square inches

From the question, we understand that the area (A) of the flag varies jointly with the base (B) and the height (H)

This variation is represented as:

[tex]\mathbf{A\ \alpha\ B \times H}[/tex]

So, we have:

[tex]\mathbf{A\ \alpha\ BH}[/tex]

Express as an equation

[tex]\mathbf{A\ =k BH}[/tex]

When the area is 1.5 square inches, the base is 1.5 inches and the height is 2 inches, we have:

[tex]\mathbf{A\ =k BH}[/tex]

This gives

[tex]\mathbf{1.5\ =k \times 1.5 \times 2}[/tex]

[tex]\mathbf{1.5\ =k \times 3}[/tex]

Divide both sides by 3

[tex]\mathbf{\frac 12 =k }[/tex]

Rewrite as:

[tex]\mathbf{k = \frac 12}[/tex]

When the base is 2 inches and the height is 2.5 inches, we have:

[tex]\mathbf{A\ =k BH}[/tex]

This gives

[tex]\mathbf{A = \frac 12 \times 2 \times 2.5}[/tex]

[tex]\mathbf{A = 2.5}[/tex]

Hence, the area of the flag is 2.5 square inches

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how many pounds does he feed his dogs for each meal?

9514 1404 393

Answer:

  a. 12, 16, 20, 24; t(n)=4n

  b. 16, 32, 64, 128; t(n)=2·2^n

Step-by-step explanation:

a. The difference of the given terms is 8-4=4, so the arithmetic sequence has a first term of 4 and a common difference of 4. The general term has the formula ...

  t(n) = t(1) +d(n -1)

  t(n) = 4 +4(n -1) . . . . . with t(1) and d filled in

  t(n) = 4n . . . . . . . . . . simplified

This formula can be considered to be the generator of the sequence. For values of n from 3 to 6, the next four terms are ...

  t(3) = 12; t(4) =16; t(5) = 20, t(6) = 24

A table and graph are shown in the first attachment.

__

b. The ratio of the given terms is 8/4 = 2, so the geometric sequence has a first term of 4 and a common ratio of 2. The general term has the formula ...

  t(n) = t(1)·r^(n-1)

  t(n) = 4·2^(n-1) . . . . . . . with t(1) and r filled in

  t(n) = 2·2^n . . . . . . . . simplified

This formula can be considered to be the generator of the sequence. For values of n from 3 to 6, the next four terms are ...

  t(3) = 16; t(4) = 32; t(5) = 64; t(6) = 128

A table and graph are shown in the second attachment.

Answer:

chances are 10.5

Step-by-step explanation:

It takes 14.4 minutes for the radiator fluid temperature to reach 60 degrees Fahrenheit

A function is said to be linear if it is a straight line graph and it can be represented by the equation:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the temperature in Fahrenheit of the radiator after t minutes.

Stanley’s car is Negative 18 degrees Fahrenheit. Hence b = -18. The  temperature of the fluid goes up 5.4 degrees Fahrenheit per minute. hence m = 5.4. The equation becomes:

y = 5.4x - 18

For the radiator fluid temperature to reach 60 degrees Fahrenheit:

60 = 5.4x - 18

5.4x = 78

x = 14.4 minutes

It takes 14.4 minutes for the radiator fluid temperature to reach 60 degrees Fahrenheit

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If the area each person covered using x tiles. Bruce's tiles cover the most area per tile.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the tiles that Bruce used were each 1/4 of a square foot in the area and a table shows as,

Number of tiles(y)    6   12   18

Area covered (x)      1     2     3

Felicia tile's relationship between the number of tiles and the area covered is,

(1/6) =(12/2)=(18/3)

y=(1/6)x

The equation of a line to represent y, the area each person covered using x tiles for Bruce is,

y =(1/4)x.

Thus, if the area each person covered using x tiles. Bruce's tiles cover the most area per tile.

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