Write a rule relating to the minutes, x, to the number of pages, y. Then find the number of pages when the minutes equal 72.

Answer:

a) [tex]y=\frac{1}{3} \sqrt{x+4}[/tex]

b) [tex]y=4 \sqrt{x}+3[/tex]

c) [tex]y=\sqrt{2x}-6[/tex]

Step-by-step explanation:

Part a is the green curve

Part b is the purple curve

Part c is the red curve

The black curve is the equation of the graph [tex]y=\sqrt{x}[/tex]

just for reference

Answer:

scamming outta points

Step-by-step explanation:

Answer:

[tex]x^2-10x+8=0[/tex]

Step-by-step explanation:

[tex]\frac{1}{x} +\frac{1}{x-2}=\frac{1}{4} \\\\\frac{x-2+x}{x(x-2)} = \frac{1}{4} \\\\\frac{2x-2}{x(x-2)}=\frac{1}{4} \\\\4(2x-2)=x(x-2)\\8x-8=x^2-2x\\0=x^2-2x-8x+8\\0=x^2-10x+8\\x^2-10x+8=0\\[/tex]

Using the least common denominator in simplifying the rational equation, the result of in standard form is: [tex]\mathbf{x^2 -10x + 8 = 0}[/tex]

Given:

[tex]\frac{1}{x} + \frac{1}{x - 2} = \frac{1}{4}[/tex]

The least common denominator of the two fractions on the left side of the equation is x(x - 2).

Thus:

[tex]\frac{1(x - 2) + x(1)}{x(x - 2)} = \frac{1}{4}\\\\\frac{x - 2 + x}{x(x - 2)} = \frac{1}{4}\\\\\frac{2x - 2}{x^2 - 2x)} = \frac{1}{4}[/tex]

[tex]4(2x + 2) = 1(x^2 - 2x)\\\\8x + 8 = x^2 - 2x\\\\[/tex]

[tex]0 = x^2 - 2x - 8x + 8\\\\0 = x^2 -10x + 8\\\\\mathbf{x^2 -10x + 8 = 0}[/tex]

Learn more about least common denominator on:

https://brainly.com/question/542317

Answer:

Option C: 24 is the correct answer.

Step-by-step explanation:

Given that:

Jason used 0.5 cup of kernels to make 16 cups of popcorn

Ratio of cup of kernel to cups of popcorn = 0.5 : 16

Let,

x be the cups of popcorn made from 0.75 cups of kernel

Ratio of cups of kernel to cups of popcorn = 0.75 : x

This is a direct proportion as the cups of kernel is increasing.

0.5 : 16 :: 0.75 : x

Product of mean = Product of extreme

16*0.75 = 0.5x

12=0.5x

0.5x=12

Dividing both sides by 0.5

[tex]\frac{0.5x}{0.5}=\frac{12}{0.5}\\x=24[/tex]

Jason can make 24 cups of popcorn from 0.75 cups of kernel.

Hence,

Option C: 24 is the correct answer.

Answer:

Here you go!

Step-by-step explanation:

Hope this helped!

Answer: a=7

d=2

Step-by-step explanation:

Answer:

b 7

Step-by-step explanation:

open the bracket and the power gets cancelled because it will be 5/5

then answer will be 7 to the power 1 which is equals to 7

Answer:

Step-by-step explanation:

Domain of a function is a set of x-values (input values) for which the function is defined.

Range of a function is a set of y-values (output values) for the given set of input values.

7). Domain → (-∞, ∞)

    Range → (-∞, ∞)

8). Domain → (-∞, ∞)

    Range → [-2, ∞)

9). Domain → [-2, 2]

    Range → [-3, 3]

10). Domain → (-∞, ∞)

    Range → [-1, 1]

Answer:

someone plz help this person

Answer:

C.

Step-by-step explanation:

A. Is false because citizens do not lose their citizenship if they fail to pay taxes.

B. Is false because not every tax paying citizen receives government assistance gets benifits like food stamps.

D. Is false because taxes don't go directly back to the people as cash payouts.

Answer:

The real answer is c.

Step-by-step explanation:

Taxes that we pay goes tords goverment things such as school. Smiles have a good day!

Answer:

92.93378 kg

Step-by-step explanation:

Given that:

Volume of Batch = 93 L

= 93 × 1000     (since 1 L = 1000 mL)

= 93000 mL  

Specific gravity = [tex]\dfrac{density \ of \ solution}{density \ of \ water}[/tex]

where;

density of water = 1 g/ml

specific gravity = 1.01 g/mL

Density of solution = (1.01 × 1) g/mL

Density of solution = 1.01 g/mL

[tex]Density \ of \ solution = \dfrac{mass \ of \ batch }{volume \ of \ batch}[/tex]

mass of batch = 1..01 g/mL × 93000 mL

mass of batch = 93930 g

Now, the mass of additional water = mass of (batch - Ropivaciance - sodium chloride)

= 93930 g - 196.42 g - 799.8 g

= 92933.78  g

Since 1kg = 1000 g

The weight of the water to be added to the QS solution is:

[tex]=\dfrac{92933.78}{1000}[/tex]

= 92.93378 kg

Answer:

*3rd option*

y intercept (0, 2)

x intercept (-1/2 , 0)

Step-by-step explanation:

First, rearrange the equation so y is on one side, the rest of the terms on the other.

y+2 = 4x + 4

y = 4x+2

The y intercept is 2 because x=0, y = 2

rearrange where x is on one side

4x = -y + 2

x = -1/4y - 1/2

The x intercept is -1/2 because when y=0, x=-1/2

please give thanks :)

and brainliest :)

hope this helps

Answer:

#2

Both functions have the same slope.

#3

The origin is the y-intercept for the function expressed in the table.

#5

The table and the graph express an equivalent function.

Answer:

B, C, E

Step-by-step explanation:

I got it right on edge

Answer:

The sum of a number and ten

A number plus ten

Ten more than a number

Step-by-step explanation:

edg

Answer:

the probability is 5/12  or 0.416 or 41%

Step-by-step explanation:

Hope I helped!

Answer:

6

Step-by-step explanation:

What you need to do is 38 ÷ 8. The answer would be 4 with a remainder of 6, so there are six apples left

Answer:

4.69

Step-by-step explanation:

13.76/4 +1.25

Step-by-step explanation:

The approximate tip is - 12.30$

Because bill is 81.79$

and tip - 15%

therefore bill amount divided by 15/100

==> 81.79* 15% is 12.30$

Answer:

search it up

Step-by-step explanation:

Step-by-step explanation:

The equation of the line is y = -1.5x + 3.

Use a similar strategy as in your other question, [19925664].

3x² + 4x + 12 = 3 (x - r ) (x - s)

3x² + 4x + 12 = 3 (x² - (r + s) x + rs)

3x² + 4x + 12 = 3x² - 3 (r + s) x + 3rs

so that

r + s = -4/3

rs = 12/3 = 4

Recall that

(r + s)² = r² + 2rs + s²

so that

r² + s² = -2rs = -2(4) = -8

Answer:

1. -13x9= -117 Negative

2. 4x14= 65 Positive

3. -6x(-31)= 186 Positive

4. -18x(54)= 4374 Positive

5. 55x7= 385 Positive

Step-by-step explanation:

Answer:

It will cover 4.5 miles in 30 seconds.

Step-by-step explanation:

An airplane is flying from nyc to la.

The distance it travels in miles,d, is related to the to the time in seconds, t, by the equation :

d=0.15t ...(1)

Let us assume we need to find the distance at t = 30 s.

Put t = 30 s in equation (1).

d=0.15 × 30

d = 4.5 miles

Hence, it will cover 4.5 miles in 30 seconds.

Answer:

3 no solution

Step-by-step explanation:

I'm a smart man I would know trust me

I have my masters degree

Answer:

The Mean Decreases.

Step-by-step explanation:

Answer:

the answer is Cindy and i dont understand what your trying to say but if your saying witch one is closer to  Jackson then yeah Cindy

Answer:

30

Step-by-step explanation:

3 multiply 5 =15

so:

6 multiply 5=30

Answer:

The answer is A choice.

Explanation:

By looking at the graph, we notice that at the left side, the domain/x-value stops at -5 and 5.

Thus, the domain is at the left end side to the right end side.

The domain stops at -5 on the left side and 5 on the right side. Thus the answer is

-5 < x < 5.

The A choice.

Understanding

The domain of a function is basically all the values where x is defined, and by defined, it means it has a y value corresponding to it. In this graph, x is defined from -5 to 5. If you look outside this range of numbers (from -5 to 5 on the x-axis) you will not find any y values for them. We can easily say the solution is A.

Solution:

[A] [tex]-5<x<5[/tex]

Note: From what I see from the picture -5 and 5 are included in the domain, either the question is incorrectly written, or the picture isn't clear enough. If so, the answer should be [tex]-5\leq x\leq 5[/tex].

Answer:

1. y=-4/3x+9

2. y=-4x+6

Step-by-step explanation:

1.y=-4/3x+b

put in 3,5 into equation

5=-4/3(3)+b

5=-4+b

9=b

so y=-4/3x+9

2. y=4x+b

2=4(-1) +b

2=-4+b

6=b

y=-4x+6