Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.

Determine If The Equation Given In Slope-intercept Form Represents The Graph. If The Equation Is Correct

Answers

Answer 1

The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.

The graph is given in the question.

As per the given line, we take two points (0, 4) and (5, 8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 0, y₁ = 4

x₂ = 5, y₂ = 8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 4 = (8 - 4)/(5-0 )[x -0]

⇒ y - 4 = (4/5)x

⇒ y = (4/5)x + 4

The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.

So, the equation of the line would be y = (4/5)x + 4.

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Related Questions

The length x of a rectangle is decreasing at the rate of 5 cm/min and the width y is increasing at the rate of 4 cm/min. When x = 8 cm and y = 6 cm, find the rate of change of

(i) the perimeter.

(ii) area of rectangle.

Answers

Refer to the image attached.

Finding a Mistake in a Subtraction Problem
Jordan wants to solve the problem: 453-254 = ?
He begins by making an estimate.
450-250 = 200
Estimate:.
Then he uses expand-and-trade subtraction to find an exact answer, but his answer is not
close to his estimate. This is his work.

"Oops," says Jordan, "I didn't cross out 400 and write 300."
Explain why not changing 400 to 30 is a mistake.
Hint: Use what you know about place value in your answer.)

Answers

Using the expand and trade subtraction the mistake Jordan made was not crossing 400 to 300

1 is carried form 4 to 5 then to 3 to get 13

How to do the subtraction in a correct way

The expanded form of subtraction makes is easier to conceptualize the subtraction, however it has some techniques that should be in mind in other to handle the techniques correctly

The numbers used in the subtraction is examined

453 and 254

the ones have it that 3 in "453" is less than 4 in "254" and hence will require 1 form 5.

When this happens, in the tens, 5 in "453" will turn to 4 and will be less than the 5 in "254" and will requires 1 from 4 in "453" in hundreds

At this point 4 in "453" is in hundreds and will turn to 300

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7 x (n + 3) = (7 x 2) + (7 x 3)

Answers

Answer:

N = 2

Step-by-step explanation:

We must solve for N.

Solve inside the parenthesis if needed, otherwise open them

7n + 21 = (14) + (21)

Now solve, then simplify

7n + 21 = 35

7n = 35 - 21

7n = 14

N = 2

Find the measure of angle A,

Answers

B. Is the answer for sure

<
Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a translation.
←++
-7-6-5-4-3/2
A translation by
up/down
7-
6+
6543
У
5-
3-
24
2345
-3-
Determine the translation.
Use non-negative numbers.
-5+
-6-
D'
A
34 9/7
B
2
units to the right/left ✓
and
units

Answers

Answer:

1 unit to the left, 3 units down

Step-by-step explanation:

Take any point: I will take D. In order to get to D', you need to travel 1 unit along the x-axis towards the left, then 3 until along the y-axis downwards. The same applies for any other point.

find a number such that 30% of it is 1260

Answers

well, that number is "x", which oddly enough is the 100%, now, we also know that 30% of that is 1260, so hmmmm

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 1260& 30 \end{array} \implies \cfrac{x}{1260}~~=~~\cfrac{100}{30} \\\\\\ \cfrac{ x }{ 1260 } ~~=~~ \cfrac{ 10 }{ 3 }\implies 3x=12600\implies x=\cfrac{12600}{3}\implies x=4200[/tex]

What is the value of X in the triangle below?

Answers

Answer:

x=29

Step-by-step explanation:

(2x-2)+(x+5)+90= 180 (sum of angles in a triangle)

2x-2+x+5=90

3x+3=90

3x=87

x=29

Consider the function f (x) = x.What effect does subtracting 2 from the input have on the graph of the function?​

Answers

The effect of subtracting 2 from the input on the graph of the function is a translation of 2 units to the right.

What effect does subtracting 2 from the input?

For any function f(x), we define a horizontal translation of N units as:

g(x) = f(x + N)

And what this does, is translate the graph N units horizontally.

if N > 0, then the translation is to the left.

if N < 0, then the translation is to the right.

Here we want to subtract 2 from the input, so we will get:

f(x - 2)

By using the definition above, we know that we will have a translation of 2 units to the right.

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1000(9x-10)=50(976+100x)

Answers

1,000(9x - 10) = 50 (976 + 100x)
9,000x - 10,000 = 48800 + 5,000x
-5,000x - 5,000x
4,000x - 10,000= 48800
+10,000 +10,000
4,000x = 58800
—————————
4,000 4,000

x = 14.7

A growing amusement park is able to
sell 7 times as many tickets each year
as it did the year before. If you list the
number of tickets sold over time, what
kind of sequence will you see?

Answers

If you list the number of tickets sold over time, the kind of sequence will you see is a geometric sequence.

What is a geometric sequence?

A geometric progression sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Here,

We assume that the variable x represents the number of tickets sold previously (initial year) and it sold 7 times as many tickets each year as it did the year before, a mathematical expression that models this situation is given by geometric sequence:

x, 7x, 49x, 343x, .....

Verification:

7/1 = 49/7 = 343/49 = 7

Hence, this is a geometric sequence.

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What is the circumference of this circle? Use π = 3.14

Answers

The circumference of this circle is equal to 50.24 centimeters.

What is a circle?

In Mathematics, a circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Additionally, a circle simply refers to the set of all data points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).

How to calculate the circumference of a circle?

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

C represents the circumference of a circle.D represents the diameter of a circle.r represents the radius of a circle.

Based on the image of this circle (See attachment), we can logically deduce that its radius is equal to 8 centimeters.

Substituting the given parameters into the circumference of a circle formula, we have;

Circumference of circle, C = 2 × 3.14 × 8

Circumference of circle, C = 50.24 centimeters.

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A measurement of 50.8 centimeters is equivalent to how many inches? A. 25 B. 12 C.20 D. 10

Answers

Answer: C. 20

Step-by-step explanation:

1 inch is equal to 2.54 cm.

So we have to divide the amount of centimeters given by how many centimeters are in an inch to find how many inches.

50.8 ÷ 2.54 = 20

Hope this helps!!! :)

For problems 1-3, use the information in the diagram to find the angle measure of in radians. Round your answer to the nearest ten-thousandth, if necessary.

Answers

Answer:

4.25 radians2.4 radians0.625 radians

Step-by-step explanation:

You want the angles associated with different arc lengths and radii.

Angle

The length of an arc is given by the formula ...

  s = rθ . . . . . θ is the angle in radians, r is the radius

Solving for θ gives ...

  θ = s/r

1.

For s=17 in, r=4 in, ...

  θ = (17 in)/(4 in) = 4.25 . . . . radians

2.

For s=12 ft, r=5 ft, ...

  θ = (12 ft)/(5 ft) = 2.4 . . . . radians

3.

For s=8.5 mm, r = 13.6 mm, ...

  θ = (8.5 mm)/(13.6 mm) = 0.625 . . . . radians

What is the domain of this function?
F(x)=3 square root x-2
x-2>0= x>2

Answers

The domain of the function F(x) = 3 [tex]\sqrt{x-2}[/tex] is {x : x ≥ 2 and x is a real number}.

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given function is,

F(x) = 3 [tex]\sqrt{x-2}[/tex]

Domain of this function is all the values of x for which the function is defined.

The expression [tex]\sqrt{x-2}[/tex] is defined only when the value of x - 2 is positive.

x - 2 > 0 ⇒ x > 2

So the function will be defined for all x > 2.

Hence the domain of the function is the set of all x such that x > 2.

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PLEASE HELP
y = 2x + 1/3

Answers

Answer:

incorrect

Step-by-step explanation:

y= 1/3x+2 because the slope(m) going up by 1 takes up 3 spaces going out and u it in rise/run form rise being up and run being out and the y intercept(b) is where the y axis and the slope meet (basically it starts at the 2)

Given the example below, determine the property displayed.

7+3=3+7

Answers

Answer:

commutative property of addition

Step-by-step explanation:

commutative property of addition

The commutative property of addition allows you to change the order of the numbers in an addition.

For example, 1 + 2 = 2 + 1

Katrina buys a 76-ft roll of fencing to make a rectangular play area for her dogs. Use
2({+w) = 76 to write a function for the length, given the width. Graph the function.
What is a reasonable domain for the situation? Explain.

Answers

Therefore , As a result 5, 10, and 15 make up the reasonable domain for the function 2 (l + w) = 64..

The definition of function

A connection between a group of sources and one output for each input is referred to as a function. A function is, to put it simply, a collection of equation  connected to a single, unique output. In mathematics, a function is a statement, rule, or law that describes the connection between two variables (the dependent variable). One input leads to one output when a rule of this type is used. by Alex Federspiel, the photographer. This statement gives an example of y=x2. There is just one output for y from any input for x. According to our definition, y is a function of x since x is the input value.

Here,

We have the following for the rectangle's perimeter:

2 ( l + w ) = 64

Here,

W = width, and L = length.

We must determine the length and breadth values necessary to make the rectangle's perimeter 64.

Now,

2 ( l + w ) = 64

l + w = 32

Thus, the sum of the length and breadth measurements must equal 32.

The possible widths are 5, 10, 15, 20, and 25.

Now,

l + 5 = 32

l = 27

l + 10 = 32

l = 22

l + 15 = 32

l = 17

l + 20 = 32

l = 12

l + 25 = 32

l = 7

We think about

The domain has widths of 5, 10, 15, 20, and 25.

The range for length is: 27, 22, 17, 12, and 7.

Values for width and length are used as the x- and y-axes, respectively.

Below is a graph of the data.

The following is the reasonable domain for the aforementioned situation:

5, 10, 15, 20, and 25

Below is a graph of the function 2 (l + w) = 64.

Therefore , As a result, 5, 10, and 15 make up the reasonable domain for the function 2 (l + w) = 64.

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How much did the population change between 1970 and 1980? population change between 1990 and 1995? What was the average annual change for that period?
Hint: Calculate the changes, then calculate the mean, or average, by dividing by the number of years. State the units clearly. The units are listed on the chart.

Answers

The population change for each period is given as follows:

1970 to 1980: 0.748 billion.1990 to 1995: 0.407 billion.

Hence the average annual change for the period between 1970 and 1995 is given as follows:

7,932,000 people a year.

How to obtain the population change?

The population change over a period is given by the subtraction of the population at the end of the period by the population at the beginning of the period.

The population data for each year is given by the table on the image presented at the end of the answer.

Hence the changes are obtained as follows:

1970 to 1980: 4.456 - 3.708 = 0.748 billion.1990 to 1995: 5.691 - 5.284 = 0.407 billion.

The change between 1970 and 1995 is of:

5.691 - 3.708 = 1.983 billion.

This period is composed by 25 years, hence the average annual change is of:

1.983/25 = 0.07932 billion people a year = 7,932,000 people a year.

Missing Information

The chart is given by the image presented at the end of the answer.

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Identify two segments that are marked congruent to each other on the
diagram below. (Diagram is not to scale.)

Answers

The two congruent segments in the figure are LJ and LI.

What is congruency?

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

An included angle is found between two sides that are under consideration.

Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.

In the figure, the two segments marked are LI and LJ these two segments are congruent to each other.

Congruency means the shape and the size of the segments will be equal to each other.

Hence, the two congruent segments in the figure are LJ and LI.

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i need help right freaking now

Answers

Answer:

a. x^4 - 12x^3 + 2x^2 - 2x + 4

Degree: 4

b. x^4 - 2x^2 - 2x - 4

Degree: 4

Step-by-step explanation:

For part a, all you are doing is adding the polynomials together. They already set up the boxes in standard form, so all you need to do is add each like term as I wrote out in the answer. The degree is then going to be the first exponent that you see once the polynomial is in standard form, which is 4.

For part b, you are now subtracting the polynomials. Again, it is set up for you in standard form. There is no x^3 terms because they cancel out, but you basically subtract each like term from another, and remember to distribute the subtraction sign (it acts as a -1) across the parenthesis. The degree is the first exponent you see, and that is 4.

What is a triangle with 2 congruent sides and an obtuse angle

Answers

Answer:What is a triangle with 2 congruent sides and an obtuse angle

Step-by-step explanation:

(Linear Relationships LC)

Which of the following tables represents a linear relationship that is also proportional?


x y
0 3
3 6
6 9

x y
0 4
2 6
4 8

x y
0 0
6 3
12 6

x y
0 3
5 5
10 7
PLEASE I NEED HELP ASAP

Answers

All the table show the linear relationship, but none of the table show the proportional relationship.

What is proportional relationship?

A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.

Given:

A). x → y

0 → 3

3 → 6

6 → 9

To show the linear relationship:

We have to find the constant first difference.

That means,

6-3 = 3

And 9 - 6 = 3

The values of this table show the linear relationship.

To show the proportional relationship:

Let x/y = k (k is constant)

We have to find the k:

0/3 = 0,

3/6 = 1/2,

6/9 = 2/3.

The values of this table do not show the proportional relationship.

B). x → y

0 → 4

2 → 6

4 → 8

To show the linear relationship:

We have to find the constant first difference.

That means,

6-4 = 2

And 8 - 6 = 2

The values of this table show the linear relationship.

To show the proportional relationship:

Let x/y = k (k is constant)

We have to find the k:

0/4 = 4,

2/6 = 1/3,

4/8 = 1/2.

The values of this table do not show the proportional relationship.

C). x → y

0 → 0

6 → 3

12 → 6

To show the linear relationship:

We have to find the constant first difference.

That means,

3-0 = 3

And 6 - 3 = 3

The values of this table show the linear relationship.

To show the proportional relationship:

Let x/y = k (k is constant)

We have to find the k:

0/0 = undefined,

6/3 = 2,

12/6 = 2.

The values of this table do not show the proportional relationship.

D). x → y

0 → 3

5 → 5

10 → 7

To show the linear relationship:

We have to find the constant first difference.

That means,

5 - 3 = 2

And 7 - 5= 2

The values of this table show the linear relationship.

To show the proportional relationship:

Let x/y = k (k is constant)

We have to find the k:

0/3 = 0,

5/5 = 1,

10/7 = 10/7.

The values of this table do not show the proportional relationship.

Therefore, none of the table show the proportional relationship.

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I just need help appreciate it and have a great day

Answers

On solving the provided question, we can say that - by doing the fraction we have 3/12 = 1/4

what is fraction?

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

balloons is 12

blew up is  1/3

friend blew up is  5

1/3*12 = 4

4+5 = 9

3/12 = 1/4

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The solution set of the equation x² + 5x = 0 is:

A. {0}
B. {5}
C. {-5}
D. {0, -5}​

Answers

Answer:

D

Step-by-step explanation:

x²+5x=0

by factorizing;

x(x+5)=0

x=0 or x+5=0

Therefore, x= 0 or x=-5 ---> {0, -5}

SAVINGS Natalie has $250 in her savings account, into which she deposits $10 of her allowance each week. The balance of her savings account can be modeled by the function f(w)=250+10w, where w represents the number of weeks. Which function g(w) represents the balance of Natalie’s savings account if she withdraws $40 to purchase a new pair of shoes? Describe the translation of f(w) that results in g(w).

Answers

Answer:

Answer:Step-by-step explanation:GivenRequiredDetermine g(w)First, we'll write an expression for g(w)From the question, we understand that she withdrew $40 from her account balance in w weeks.This implies that:Where f(w) is the account balance in w weeks and $40 is the withdrawn amountSubstitute 250 + 10w for f(w)Collect Like TermsRecall that:This means that function f(w) when shifter by 40 units downward, gives g(w)

Step-by-step explanation:

What is the sum of 15 and the product of 5 and v

Answers

Answer:

15+5=v

Step-by-step explanation:

Solve

1. Add the numbers

15+5 = v

20 = v

2. Move the variable to the left

20 = v

v = 20

3. Solution

   v = 20

The altitude of the hypotenuse of a right triangle divides the hypotenuse into two segments. If the ratio of lengths of the segments is 1:9 and the length of the altitude is 6 meters, find the lengths of the two segments?

Answers

Answer:

2 m18 m

Step-by-step explanation:

You want the lengths of the segments of the hypotenuse of a right triangle when an altitude of 6 m divides the hypotenuse into parts with the ratio 1:9.

Geometric mean

The altitude to the hypotenuse of a right triangle is the geometric mean of the parts it divides the hypotenuse into. If the shorter part is x, then the longer part is 9x, and their geometric mean is ...

  6 = √(x(9x)) = 3√x² = 3x

  x = 2 . . . . . . . divide by 3

The length of the shorter segment is 2 m; the longer one, 18 m.

could u please help me

Answers

Answer:

there is not enough info but i think it would be (5,11)

Step-by-step explanation:

divide

Answer:

[tex]y=\dfrac{11}{4}x[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}[/tex]

Choose two (x, y) points from the given table:

Let (x₁, y₁) = (4, 11)Let (x₂, y₂) = (8, 22)

Substitute them into the slope formula:

[tex]\implies \dfrac{22-11}{8-4}=\dfrac{11}{4}[/tex]

[tex]\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}[/tex]

Substitute point (4, 11) and the found slope into the point-slope formula and rearrange to slope-intercept form:

[tex]\implies y-11=\dfrac{11}{4}(x-4)[/tex]

[tex]\implies y-11=\dfrac{11}{4}x-11[/tex]

[tex]\implies y=\dfrac{11}{4}x[/tex]

Find the value of g(f(-1))

Answers

Answer: I say 13

Step-by-step explanation:

Calculate the volume of this cylinder, giving your answer to 1 decimal place.
14 cm ( diameter )
12 cm ( height )

Answers

22/7×14×14×12

the answer is 7392

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