Shyryia read a book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 402 out of the total 480 pages left to read. Let y represent the number of pages left to read after x hours.

Complete the equation for the relationship between the number of pages left and number of hours.

Answers

Answer 1

Answer:

[tex]y=-52x+480[/tex]

Step-by-step explanation:

Linear Modeling

Some events can be modeled as linear functions. If there is a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

[tex]y=mx+b[/tex]

The event into consideration is the number of pages of a book left to read by Shyryia.

We know that for x=1.5 hours, she had y=402 out of the total 480 pages left to read. This is the point ( 1.5, 402 ). The other point is not obvious but can be inferred by context. If she hasn't used any time to read (x=0), then she would have y=480 pages left to read. This is the point (0,480).

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Substituting the given points:

[tex]\displaystyle y-402=\frac{402-480}{1.5-0}(x-1.5)[/tex]

[tex]\displaystyle y-402=\frac{-78}{1.5}(x-1.5)[/tex]

Operating:

[tex]y-402=-52(x-1.5)[/tex]

[tex]\mathbf{y=-52x+480}[/tex]

Answer 2

Answer:

-52x+480.

Step-by-step explanation:

I took the test, definitely correct


Related Questions


Find the value of k, if y=3.
2y+k=6

Answers

Answer:

k=1

If y=3

2(3)+k=6

5+k=6

-5     -5

k=6-5

k=1

Now to check

2(3)+1=6

5+1=6

6=6

6=6 is a correct statement! which means k=1.

Have a beautiful day! v(⌒o⌒)v♪

Ms sherman had 36 guests at her house for a party. Each guest brought 1 item
•One-third of the guests brought cupcakes
•one-half of the guests brought chips
•The rest brought drinks
How many guests brought drinks

Answers

Answer: 216?

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

one third of 36 is 12

one half of 36 is 18

and

12+18=30

36-30= 6

please help , what’s the value of x?

Answers

Answer:

x = 34

Step-by-step explanation:

[tex]x=34[/tex]

Benito wants to buy a car. He is considering two different models. Model A is 6 7/8 feet wide. Model B is 75 inches wide. Express the width of each car using feet using a decimal. Which car is bigger?

Answers

Model A is the bigger car.

Using coupons you spell $91 grocery shopping this is 65% of the total retail price of groceries how much would you have spent if you had not use the coupons

Answers

$140 because

$91 divided by 65 is 1.4
1.4 times 100 is 140

Tyler incorrectly says that the constant term of (x + 4)(x - 4) is zero.
a. What is the correct constant term?
b. What is Tyler's mistake? Explain your reasoning.

Answers

Answer:

a. -16 is the constant

b.if you expand the equation it would be x^2-16, and the constant is -16

Solving the expression (x + 4)(x - 4) ; the constant term in the expression is - 16 and not 0

To solve, we need to expand the expression : (x+4)(x-4)

Expanding the expression :

(x + 4)(x - 4)

Opening the bracket :

x² - 4x + 4x - 16

x² - 16

The constant term in the expression, is - 16 as it is the value without a variable.

Therefore, Tyler's mistake is incorrectly stating that the constant value is 0 instead of - 16

Learn more :https://brainly.com/question/18109354

What is 0.74 + (-3/5)

Answers

The answer is 0.14!!!

Answer:

It equals 0.14

Step-by-step explanation:

What is the quotient?

Answers

Answer:

-0.4

I am pretty sure

Step-by-step explanation:

Use the table to find the residual points. A 4-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries negative 0.7, 2.3, 4.1, 7.2, 8. The third column is labeled predicted value with entries negative 0.28, 1.95, 4.18, 6.41, 8.64. The fourth column is labeled residual value with all entries blank. Which residual plot is the correct one for the data? A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph. A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph. A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph. A graph shows the horizontal axis numbered negative 1 to positive 7 and the vertical axis numbered negative 1.5 to positive 1.5. Points are scattered all over the graph.

Answers

Answer:

B

Step-by-step explanation:

residual is the given - predicted

residual 1: -0.42

residual 2: 0.35

so on and so forth

B matches up with the first two coordinates

The residuals are 0.42, 0.35, -0.08, 0.79, and -0.65 because residuals are the difference between the actual and predicted.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

The residual = actual—predicted

We have given:

X         Given     Predicted     Residual value

1            0.7           0.28             0.42

2           2.3           1.95              0.35

3            4.1            4.18             -0.08

4           7.2           6.41              0.79

5            8             8.65            -0.65

Thus, the residuals are 0.42, 0.35, -0.08, 0.79, and -0.65 because residuals are the difference between the actual and predicted.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ2

Find h(3)
please help me

Answers

Answer:

h(3) = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 2

g(x) = -x² + 2x

h(x) = |5x - 17|

h(3) is x = 3 for h(x)

Step 2: Evaluate

Substitute:                     h(3) = |5(3) - 17|Multiply:                         h(3) = |15 - 17|Subtract:                        h(3) = |-2|Evaluate:                        h(3) = 2

There are 25 servings in a 16.8 ounce bottle of
cooking oil. How many ounces
are in a serving?

Answers

0.672 is the correct answer

please help a polynomial of degree 4 has 3-2i and 1+i as zeros. Are there any x-intercepts? Explain why?​

Answers

Answer:

Answer:I can't read or see it

Step-by-step eAnswer:I can't read or see itxplanation:

Can somebody plz help me with this question!

Answers

Answer:

y= -4/5x - 2

Step-by-step explanation:

y=mx+b thats all i can think of to put here lol

have a good day lovely =)

Which inequality represents the range of the relation graphed below?

Answers

Answer: I think it’s d

Step-by-step explanation:

Find each percent increase. Round to the nearest percent.

From 5 miles to 16 miles

Answers

love the saiki k pfp, also the answer to your question is...

answer: 11 since its from 5 to 16

Answer:

220%

Step-by-step explanation:

Amount of change= Greater value- Lesser value

= 16-5

=11

Find the percent increase. Round to the nearest percent.

Percent change= Amount of change

                             Original Amount

=11/5

=2.2

=220%

Hope this helped  

- A rectangular pool has an area of 140 square feet. If the length of the
pool is 16 feet, what is its width?

Answers

Answer:

8.75 feet

Step-by-step explanation:

Use the area formula, A = lw, where l is the length and w is the width

Plug in the area and length, and solve for w:

A = lw

140 = 16w

8.75 = w

So, the width is 8.75 feet

Answer:

8.75 ft

Step-by-step explanation:

Use the area formula, A = lw, where l is the length and w is the width

Plug in the area and length, and solve for w:

A = lw

140 = 16w

8.75 = w

So, the width is 8.75 feet

Consider 8x2 - 48x = -104.

Answers

Answer:

2.5

Step-by-step explanation:

plz mark brainliest

Answer:

a=1: x2 + -6      x=-13

Step-by-step explanation:

Complete the square:

x2 – 6x + 9  =–13 + 9

Factor the trinomial and simplify:

(x + -3 )²= -4

Use the square root property of equality to solve

(x  – 3)2 = –4.

The solutions are

3 ± 2i

Please help also please explain

Answers

Step-by-step explanation:

By AA, the two triangles in the figure are similar.

therefore, 10/15 = x/18

180 = 15x

x = 12

Topic: congruence and similarity

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

16+x/13=18 What Is the Steps

Answers

Answer:

x=26

Step-by-step explanation:

Simplify both sides of the equation.

16+

x

13

=18

16+

1

13

x=18

1

13

x+16=18

Step 2: Subtract 16 from both sides.

1

13

x+16−16=18−16

1

13

x=2

Step 3: Multiply both sides by 13.

13*(

1

13

x)=(13)*(2)

x=26

Find all the missing elements

Answers

Answer:

[tex] b = 5.5 [/tex]

[tex] c = 11.2 [/tex]

Step-by-step explanation:

Given:

A = 96°

B = 25°

C = 59°

a = 13

Required:

b and c

SOLUTION:

Use Sine Rule to find the measure of a and b, respectively.

✍️Thus, to find b, use,

[tex] \frac{a}{sin(A)} = \frac{b}{sin(B)} [/tex]

Plug in the values

[tex] \frac{13}{sin(96)} = \frac{b}{sin(25)} [/tex]

Multiply both sides by sin(25)

[tex] \frac{13}{sin(96)} \times sin(25) = \frac{b}{sin(25)} \times sin(25) [/tex]

[tex] \frac{13 \times sin(25)}{sin(96)} = b [/tex]

[tex] b = 5.5 [/tex] (nearest tenth)

✍️To find c, use,

[tex] \frac{a}{sin(A)} = \frac{c}{sin(C)} [/tex]

Plug in the values

[tex] \frac{13}{sin(96)} = \frac{c}{sin(59)} [/tex]

Multiply both sides by sin(59)

[tex] \frac{13}{sin(96)} \times sin(59) = \frac{c}{sin(25)} \times sin(59) [/tex]

[tex] \frac{13 \times sin(59)}{sin(96)} = c [/tex]

[tex] c = 11.2 [/tex] (nearest tenth)

PLEEAAASEEEE can anyone explain how I do this? Or does anyone have the answer??

Answers

Answer:

I am fairly certain is y=8x

Step-by-step explanation:

The only definitive points are (0,0) and (10,80)

So using the slope formula rise/run i got 8

what is 2+6
alia akkes

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

6+2

Help me pls thank you!!

Answers

C.

is the answer because it states that you can use three sixes in order to make 18

Which of these equations correctly identify factors of 15? Check all that apply.

15 ÷ 1 = 15
15 ÷ 2 = 7
15 ÷ 3 = 5
15 ÷ 5 = 3
15 ÷ 10 = 5

Answers

Answer:

15÷1=15

15÷3=5

15÷5=3

Step-by-step explanation:

Answer:

15 divided by 1 = 15

15 divided by 3 = 5

15 divided by 5 = 3

Step-by-step explanation:

lg(5x+10)+2lg3=1+lg(4x+12)
need them fast with steps

Answers

Answer:

x=6

Step-by-step explanation:

log(5x+10)-log(4x+12)=1-2log(3)

log(5x+10/4x+12)=1-2log(3)

log(5x+10/4x+12)=log(10)+log(3^-2)

log(5x+10/4x+12)=log(10×3^-2)

log(5x+10/4x+12)=log(10×1/9)

log(5x+10/4x+12)=log(10/9)

5x+10/4x+12=10/9

9(5x+10)=(4x+12)10

45x+90=40x+120

5x=30

x=6

if you like my answer. Please mark me as brainliest

Is 4 a solution to the compound inequality “x > 0 ​AND​ x < 7”

Answers

Answer:

Yes

Step-by-step explanation:

4 is greater than 0, and 4 is less than 7

Answer:

yes

Step-by-step explanation:

x is greater than 0 and also less than 7 in this case.

(hi again furydrill! i just answered one of your questions a minute ago!)

The constants a, b, and c are positive. Solve the inequality for x.

ax-b is less than c

Answers

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[tex]ax - b < c[/tex]

Add sides b

[tex]ax - b + b < c + b[/tex]

Simplification

[tex]ax < b + c[/tex]

Divide sides by a

[tex] \frac{a}{a} x < \frac{b + c}{a} \\ [/tex]

[tex]x < \frac{b + c}{a} \\ [/tex]

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What is f(x)= 3x+ 13(17x-7) if x equals 4?

Answers

The answer to this is 805

Answer:

805

Given:

x=4

Step-by-step explanation:

f(x) = 3x + 13(17x-7)

f(x) = 3 × 4 + 13(17 × 4 - 7)

f(x) = 12 + 13(68 - 7)

f(x) = 12 + 13 × 68 - 13 × 7

f(x) = 12 + 884 - 91

f(x) = 12 + 793

f(x) = 805

hope you understood❤❤

plz help its pass due

Answers

The third one

x,y —>-x,-y

Because 2,-1–>-2,1

Answer:

C

Step-by-step explanation:

The coordinates went from (4,1) to (-4,-1). This means it went from (x,y) to (-x,-y)

General admission to Paul’s Pumpkin Patch is $8.00. For children to ride the various rides, they must use tickets that cost $1.00 each. The number of tickets needed for each ride varies. The function for this situation is P(x) = x + 8, where P(x) represents total cost as a function of the number of tickets, x. What is the domain for visiting and riding rides at Paul’s Pumpkin Patch?
A. P(x) ≥ $8.00
B. x is all real numbers
C. x ≥ 0, where x is non-negative
D. x ≥ 0, x is an integer

Answers

Given:

Total cost P(x) as a function of the number of tickets, x is

[tex]P(x)=x+8[/tex]

To find:

The domain for visiting and riding rides at Paul’s Pumpkin Patch.

Solution:

Domain is the set of input values.

Here, domain is x and it represents the number of tickets.

We know that, number of tickets cannot be negative or decimal or fraction vales. So, x must be non-negative and integer value.

Domain = x ≥ 0, x is an integer

Therefore, the correct option is D.

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