The graph shows the relationship between the time (in seconds) and number of gallons of water in a sink. The sink starts out with 8 gallons and drains at a constant rate of 35 gallons per second.


Which function represents the situation?
A f(x) = 3/5x+8
B f(x)= 3/5x-8
C f(x)= -3/5x+8
D f(x)= -3/5x-8

Answer:

[tex]x =3[/tex] or [tex]x = 7[/tex]

Step-by-step explanation:

Given

[tex]x^2 - 10x = -21[/tex]

Required

Solve by factoring & quadratic formula

By Factoring:

[tex]x^2 - 10x = -21[/tex]

Equate to 0

[tex]x^2 - 10x +21 = 0[/tex]

Expand:

[tex]x^2 - 7x -3x+21 = 0[/tex]

Factorize:

[tex]x(x-7)-3(x-7) = 0[/tex]

[tex](x-3)(x-7) = 0[/tex]

[tex]x -3 = 0[/tex] or [tex]x - 7 = 0[/tex]

[tex]x =3[/tex] or [tex]x = 7[/tex]

By quadratic

[tex]x^2 - 10x = -21[/tex]

Equate to 0

[tex]x^2 - 10x +21 = 0[/tex]

For

[tex]ax^2 + bx + c = 0[/tex]

x is solved using:

[tex]x = \frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]

where

[tex]a = 1[/tex]; [tex]b = -10[/tex]; [tex]c = 21[/tex]

So:

[tex]x = \frac{-(-10)\±\sqrt{(-10)^2-4*1*21}}{2*1}[/tex]

[tex]x = \frac{10\±\sqrt{100-84}}{2}[/tex]

[tex]x = \frac{10\±\sqrt{16}}{2}[/tex]

[tex]x = \frac{10\±4}{2}[/tex]

Split

[tex]x = \frac{10+4}{2}[/tex] or [tex]x = \frac{10-4}{2}[/tex]

[tex]x = \frac{14}{2}[/tex] or [tex]x = \frac{6}{2}[/tex]

[tex]x = 7[/tex] or [tex]x =3[/tex]

Answer:

mmmmmmmmm sus

Step-by-step explanation:

Answer:

they ate 3/4 part of pizza

Step-by-step explanation:

=1/2+1/4

=1×2/2×2 + 1/4

=2/4+1/4

=3/4

Answer:

B) 1/4 because if the pizzas have 8 slices then 1/4=2 slices and 1/2=4 slices    4-2=2 and 2 slices equal 1/4 of the pizza.

Step-by-step explanation:

Hope it helps!

Have a good day/night :)

Brainliest pls?

Answer:

x=-3

Step-by-step explanation:

Solve for x:

5x+2=4x−1

Move all terms containing x to the left side of the equation.

x+2=−1

Move all terms not containing x to the right side of the equation.

x=−3

Answer:

B. No, Hannah should have used the ratio [tex] \frac{adjacent}{opposite} [/tex]

Step-by-step explanation:

✍️The formula for calculating cotangent of an angle is given as:

[tex] cot = \frac{adjacent}{opposite} [/tex].

The ratio, [tex] \frac{opposite}{adjacent} [/tex], used by Hannah is the formula for calculating tangent of an angle.

Therefore, Hannah did not calculate the cotangent of the angle correctly.

She should have used, the ratio, [tex] \frac{adjacent}{opposite} [/tex] instead.

Answer:

To find the quotient, you must start by dividing 25 into 1,658.

Step-by-step explanation:

Given :

There are 36 tickets sold for a raffle for the Student Art Auction, and there are two prizes to be awarded.

Dionte buys two tickets.

To Find :

The probability that he will win both price.

Solution :

Number of prizes available, p = 2

Probability of getting price from first draw :

[tex]P_1=\dfrac{2}{36}\\\\P_1=\dfrac{1}{18}[/tex]

Probability of getting price from second draw if he won first prize :

[tex]P_2=\dfrac{2-1}{36-1}\\\\P_2=\dfrac{1}{35}[/tex]

So, probability of winning both prize :

[tex]P=P_1\times P_2\\\\P=\dfrac{2}{36}\times \dfrac{1}{35}\\\\P=0.00159[/tex]

Therefore, probability of winning both prize is 0.00159 .

Hence, this is the required solution.

Answer:

y=20x

Step-by-step explanation:

do do I intercept a zero, so you don't have a "b"

The slope is 20. that's pretty self-explanatory

Answer:

the sale tax is 19.60

Step-by-step explanation:

245*0.08=19.60

Answer:

19.6

Step-by-step explanation:

8 percent *245 =

(8:100)*245 =

(8*245):100 =

1960:100 = 19.6

Answer:

t = 4

Step-by-step explanation:

1. 2*t = 2t

2. 2*1 = 2

3. 2t+2 = 10

4. 10-2 = 8

5. 2t = 8

6. 8/2 = 4

7. t = 4

Answer:

t = 4

Step-by-step explanation:

2(t + 1) = 10

2t + 2 = 10

2t = 10 - 2

2t = 8

t = 8 ÷ 2

t = 4

-TheUnknownScientist

The picture is really blurry for me. I can't read it...

Answer:

62

Step-by-step explanation:

How many times can 16 go into 992.

16*10 = 160

16*50 = 800

Now you have 960

16*2 = 32

Now you have 996

Hope this helps ya!!

Answer:

The answer is 5^-4.

Hope this helps and if you could mark this as brainliest. Thanks!

Answer:

[tex]\frac{1}{5^{4}}[/tex]

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=\frac{1}{a^{n-m}},[/tex]   if n >m

[tex]\frac{5^{3}}{5^{7}} = \frac{1}{5^{7-3}}=\frac{1}{5^{4}}[/tex]

Answer:

hehehe

Step-by-step explanation:

hehehe

Answer:12 lessons

Steps in image below:

The number of lessons that take for the cost to be the same with and without a membership will be 12.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The equation is given below.

186 + 10x = 25.5x

Simplify the equation, then we have

25.5x - 10x = 186

15.5x = 186

x = 186 / 15.5

x = 12

The number of lessons that take for the cost to be the same with and without a membership will be 12.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

X=20 3x=60

Step-by-step explanation:

a straight line is 180

180-100=80

4x=80

x=20

We can create a equation to solve for x here.

We will use the following equation:

How to solve it step-by-step

[tex]100 + 3x + x = 180\\\\100 + 4x = 180\\\\4x = 80\\\\x = 20[/tex]

Answer:

y=4, y=2

Step-by-step explanation:

Answer:

Just subtract 11 from 7.

Answer:

-4

Step-by-step explanation:

Answer:

After solving the compound inequality [tex]1.5x-1>6.5 \ or \ 7x+3<-25[/tex] we get [tex]\mathbf{x>5 \ or \ x<-4}[/tex]

Option B is correct.

Step-by-step explanation:

We are given compound inequality: [tex]1.5x-1>6.5 \ or \ 7x+3<-25[/tex]

We will first solve the inequalities to find the value of x, then will draw the graph.

[tex]1.5x-1>6.5 \ or \ 7x+3<-25\\1.5x-1+1>6.5+1 \ or \ 7x+3-3<-25-3\\1.5x>7.5 \ or \ 7x<-28\\x>\frac{7.5}{1.5} \ or \ x<\frac{-28}{7}\\x>5 \ or \ x< -4[/tex]

So, after solving the compound inequality [tex]1.5x-1>6.5 \ or \ 7x+3<-25[/tex] we get [tex]\mathbf{x>5 \ or \ x<-4}[/tex]

Now, the number line will be as shown in figure.

The description as given in options is:

A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded from negative 4 toward negative 10. The number line is also shaded from positive 5 toward positive 10.

so, Option B is correct.

Answer:

the answer is b

Step-by-step explanation:

2020 edge

Answer:

its c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i got it right

Answer:

2 miles in 30 minutes

1 miles in 15 minutes

7 miles in 105 minutes

Thank you and please rate me as brainliest as it will help me to level up

Answer:

Step-by-step explanation:

$&+!8

Answer:

hello! I am pretty sure the missing number is 25!

Step-by-step explanation:

Here is why I think so, I believe that because it seems to me that you are multiplying 7 by 5 so I think that you should multiply 5 by 5 and if you do that it is 25. Hope this helps!

Answer:

Step-by-step explanation:

7h+3=7(2+h)-11

7h+3=14+7h-11

7h+3=7h+3

The answer is 0 or no solution since they cancel each other out.

Step-by-step explanation:

A slope of 0.47 means that, for every 100 feet of horizontal change, the vertical rise = 47 feet

We can use a proportion here

0.47 / 1 = 1 / x

Cross-multiply

0.47x = 1*1

0.47x = 1

Divide both sides by 0.47

x = about 2.13 units

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Ratio and Proportion.

C.) The cost of purchasing apples for $1.75 per pound plus a shipping fee of $0.16 per pound.

is the Correct answer.

Option C.)

Answer:

D.) The cost of purchasing peaches for $7.00 per box of peaches with a delivery charge of $3.00

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

Answer:The slope of a line measures the steepness of the line. Most of you are probably familiar with associating slope with "rise over run". Rise means how many units you move up or down from point to point. Run means how far left or right you move from point to point. On the graph, that would mean a change of x values.

Step-by-step explanation: