Graph the line with slope of 5/3 and goes through the point (2, 1).

Answer:

y=6x-6

Step-by-step explanation:

find the slope

y2-y1/ x2-x1

then put one of the points in y-y1=m(x-x1)

Answer:

Vertex (4,-1)

Axis Symmetry: x=4

x: 2,3,4,5,6

y: 3,0,-1,0,3

Step-by-step explanation:

The download is the graph

Answer:

508

Step-by-step explanation:

Answer:

Step-by-step explanation:

56x7=392+89=481-45=436+72=508

Time take to read a book that has 218 pages is  196.2

According to the question, given that

Time takes to read 5 pages of a book can be represented equation y equal to 4.5  divided by 5 times

where y represents the total time in minutes and x represents the number of pages read

Time take to read a book that has 218 pages.

x = [tex]218*\frac{4.5}{5}[/tex]

  = [tex]\frac{981}{5}[/tex]

  = 196.2

Therefore, we get time 196.2 to read a book that has 218 pages.

Depending on which values you input into the reading time , you can find out:

- How much time per day should you allocate to finish in x days;

- How much time does it take to read this book

- What the total reading time will be (in hours);

- How many pages you'll be able to read in a given time; and

- How fast you should read to finish this book on time.

To learn more about reading time visit here : brainly.com/question/3631998

#SPJ1

Answer:

Time take to read a book that has 218 pages is  196.2

Step-by-step explanation:

Answer:

first person s correct

Step-by-step explanation:

Given:

a circle of radius = r = 5 inches

We will find the length of the arc subtended by a central angle of 220 degrees

We will use the following formula:

Substitute with r = 5, and θ = 220

So, the langth of the arc will be as follows:

Rounding to the nearest hundredth

So, the answer will be the length of the arc = 19.20 inches

Answer:

20:12 32:50 24:40 3:5 14:40

so the first part is p

the second part is 5p

the third part is p+35

all together, you have 7p + 35 = 385

so 7p = 350, so p = 50.

so the first part is 50, the second part is 250, and the third part is 85. together they make 385!

The constant of proportionality for the smoothie is 0.353.

It should be noted that the constant of proportionality shows the proportional relationship between the variables that are given.

In this case, to make a smoothie you use 12 cup of yogurt for every 34 cup of fruit, the constant of proportionality will be:

y = kx

where y = number of cups of fruit needed

x= number of cups of yogurt needed to make a smoothie.

This will be:

y = kx

12 = 34k

Divide through by 34

k = 12/34

k = 0.353

The constant is 0.353

Learn more about constant of proportionality on:

brainly.com/question/28413384

#SPJ1

The domain and range are [0, 800] and [0, 800], respectively.

Complete question: Carly is traveling to visit family. She drives x miles on the first day and y miles on the second day for a total of 800 miles. What are the domain and range of this relationship?

To learn more about domain, visit :

https://brainly.com/question/28135761

#SPJ1

Using proportions, it is found that:

a) Jana runs faster, due to the higher velocity.

b) Jana's speed is of 47,520 feet per hour.

c) Jana's speed is of 792 feet per minute.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using relations with operations such as multiplication and division.

One example of the application of proportions in this problem is for the relation between velocity, distance and time, as velocity is distance divided by time, that is:

v = d/t.

Hence the velocities in this problem are given as follows:

Due to the higher velocity, Jana runs faster.

Another application of proportions is for conversion of units. Each mile has 5280 feet, hence Jana's speed in feet per hour is given by:

9 x 5280 = 47,520 feet per hour.

Each hour has 60 minutes, hence Jana's speed in feet per minute is given by:

47520/60 = 792 feet per minute.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

no

Step-by-step explanation:

no

when you add the squares of 4.7 and 10.4 you get 130.25

then take the square root of 130.25

it goes to around 11 which isnt 13

so no

Answer:

No

Step-by-step explanation:

Because 4.7, 10.4, and 13 cm make an obtuse scalene triangle.

Answer:

y = -3/5x + 8

Step-by-step explanation:

Step 1:

Plot your point and then use your slope to find another point on the graph.

Step 2:

Draw a line through the points

Step 3:

Find your y-int

y = mx + b where x and y are variables, m is the slope and b is the y-int

y = -3/5x + 8

Answer:

y= 8 + (-3/5)x is the equation of the line

Answer: A, B, D

Step-by-step explanation:

1) Find all expressions that will result in 3c + 1.50

A) 1.50 + 3c

= 3c + 1.50

Yes!

B) (0.50+c)3

=1.5+3c

= 3c + 1.50

Yes!

C) 3.50c + 1

No!

D) 3(c+0.5)

=3c+1.50

Yes!

E) 4.50c

No!

Answer:

Step-by-step explanation: A,B,D

The correct option is (1.)

i.e., (-9/4 . 3/2) . (6/3 . 5/7) = -9/4 . (3/2 . 6/3) .5/7

Associative Property of Multiplication:

Associative property is defined as, when more than two numbers are added or multiplied, the result remains the same, irrespective of how they are grouped.

To find the which equation applies the associative property of multiplication?

Now, According to the question:

1. (-9/4 . 3/2) . (6/3 . 5/7) = -9/4 . (3/2 . 6/3) .5/7

Identity Property used

Associative Property of Multiplication

2. -6/5 (5/3 - 1/4) = (-6/5 - 5/3) - 1/4

Identity Property used

No Property.

3. (-1/2 . 4/7) + (-1/2 . 2/3) = -1/2 . (4/7 + 2/3)

Identity Property used

No Property

4.   8/9 . 7/4 (-5/8) = 8/9 . (-5/8) . 7/4

Identity Property used

Commutative Property of Multiplication.

Hence, The correct option is (1.)

i.e., (-9/4 . 3/2) . (6/3 . 5/7) = -9/4 . (3/2 . 6/3) .5/7

Learn more about Associative Property at:

https://brainly.com/question/5637942

#SPJ1

Answer:

T(2,-1)

Q(3,1)

S(0,-2)

R(3,-3)

The required number of calories burned at the 4 miles of running is 160 calories. Option A is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The rate of the calorie burning per mile  = 40 calorie/mile,
For the running of the 4 miles,
Calorie burned at 4 mile of running = 40 (4) = 160 calories,

Thus, the required number of calories burned at the 4 miles of running is 160 calories.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2

The value of x is 15.

The isosceles triangle theorem asserts that if two sides of an isosceles triangle are equal, then the angles opposite the equal sides will likewise be equal.

Given:

The given angles are:

∠WYX = (4x - 2)°

∠WXY = 62°

The length of side WX = 8

The length of side WY = 8

So, WX = WY = 8, hence it is an isosceles triangle.

By Isosceles Triangle Theorem,

∠WYX = ∠WXY

(4x - 2)°= 62°

4x = 62° - 2°

x = 60/4

x = 15

Therefore, the value of x is 15.

To know more about Isosceles Triangle Theorem visit:

https://brainly.com/question/10618745

#SPJ13

ANSWER: 150

EXPLANATION

Based on the given conditions, formulate: 1500 divided 10

Cross out the common factor: 150

get the result: 150

Answer: 150

your welcome

Answer:

It allows us to disregard the shape of the population when n is large.

Step-by-step explanation:

When the sample size is large it gets close to a normal distribution regardless of the actual distribution shape of the population.

The graph of y is vertically compressed by an factor of √8 which is the transformation of the function.

The important technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of the various algebraic equations which is a particular  kind of algebraic problem.

The base or parent function is y=√8x³+1.

Here the transformed function is y= x³+1.

Therefore the graph is vertically transformed by the factor of √8 .

To learn more about transformation visit:

https://brainly.com/question/11709244

#SPJ1

The product expression (5ab) x (- 2a²b)³ has a value of -40a⁷b⁴, when evaluated

The expressions are given as

(5ab) and (- 2a^2 b)^3

This means that

The product expression is the product of (5ab) and (- 2a²b)³

Rewrite the expression as:

(5ab) x (- 2a²b)³

Open the brackets in the above expression

So, we have

(5ab) x (- 2a²b)³ =  5ab x (-2)³ x (a²)³ * (b)³

Evaluate the exponents

So, we have

(5ab) x (- 2a²b)³ =  5ab x (-8) x a⁶ * b³

Evaluate the products of the variables

This gives

(5ab) x (- 2a²b)³ =  5a⁷b⁴ x (-8)

Evaluate the other products

This gives

(5ab) x (- 2a²b)³ =  -40a⁷b⁴

Hence, the value of the product expression is -40a⁷b⁴

Read more about product expression at:

https://brainly.com/question/7037150

#SPJ1

The set of possible values of k is (-17/8, ∞).

What are the conditions for a quadratic equation not to have real roots?
A quadratic function has no actual roots and the parabola it represents does not intersect the x-axis if its discriminant is less than zero.
What is the discriminant of a quadratic equation?
A polynomial's discriminant is a function of its coefficients and is denoted by a capital "D" or the symbol for the delta (Δ). In any quadratic equation where a, b, and c are rational numbers, it demonstrates the nature of the roots. With a quadratic equation, the real roots or the number of x-intercepts are easily demonstrated. This equation is used to determine if the quadratic equation's roots are real or imaginary.
For a quadratic equation as ax² + bx + c = 0, the discriminant is
Δ = b² - 4ac

Given, the quadratic equation is 2x² + (-3)x + (-1 - k) = 0
Comparing this to the standard form of quadratic equation, the value of the discriminant is: Δ = b² - 4ac = (-3)² - 4(2)(-1 -k) = 9 + 8(k + 1) = 17 + 8k
Following the condition established in the literature above, Δ<0
Therefore, 17 + 8k < 0 ⇒ 17 < -8k ⇒ k > (-17/8)
Thus, the set of possible values of k is (-17/8, ∞)

To learn more about this, tap on the link below:
https://brainly.com/question/24881469

#SPJ9

If Natasha is taking out a three week payday loan for $400. He will be charged with $70 interest for a 3 week loan. the APR (annual percentage rate) is $304.2

Using this formula to determine the annual percentage rate
APR = [(( interest/principal)/number  of days )×365]×100

Principal = $400

Interest = $70

Number of days = 3 weeks = 21 days

Let plug in the formula

APR  = [(( 70 / 400)/ 21) ×365 ] ×100

APR  = 0.008333 x 365 × 100

APR =  304.166

APR = 304 .2 (Approximately)

Therefore the APR is $304.2.

Learn more about annual percentage rate here: https://brainly.com/question/11396835

#SPJ1

Answer:

3w + 2

Step-by-step explanation:

Explanation:

x = some unknown number

"A number less than 12" translates to x < 12

This number x is also more than -16, so x > -16 which is the same as -16 < x

Combine -16 < x with x < 12 to end up with -16 < x < 12

x is between -16 and 12, excluding both endpoints.

A number line diagram might help picture what is going on.

Answer:

-16<x< 12

Step-by-step explanation:

it's simple algebra. -16 is less than x which x is less than 12. X is more than -16 but less than 12

Answer:

22/7, _/32/3, 3.3, _/11

Step-by-step explanation:

Simple interest is the interest calculated on the principal at a given rate for a time period.

The equation used to solve for the rate of interest r is r = (A/P - 1) / t.

It is the interest calculated on the principal at a given rate for a time period.

We have,

A = P + Prt ______(1)

A = amount

P = principal

r = rate

t = time in years

To find the rate of interest we will have to solve (1).

A = P + Prt

A = P (1 + rt)

A/P = 1 + rt

Subtract 1 on both sides.

A/P - 1 = rt

Divide t on both sides.

(A/P - 1) / t = r

r = (A/P - 1) / t

Thus,

The equation used to solve for the rate of interest r is r = (A/P - 1) / t.

Learn more about simple interests here:

https://brainly.com/question/25845758

#SPJ1