What is the slope of the line y=-2x+3?
A. 3
B. -2
C. -3
D. 2

Answers

Answer 1

The first step that we must take before solving a problem is to understand what the problem statement is asking us to do and what is given to us to do so.  Looking at the problem they are asking what the slope of the line is. What is provided to us is an equation which was captured as [tex]y=-2x + 3[/tex].

The next step that we must take is to determine what the slope of the line is. Let us first define what slope is.

Slope ⇒ Slope is the rate of change which can be expressed in an equation.  For example, if a student buys 4 books per semester, the rate of change would be 4 as for every semester the student would add another 4 books.

Slope-Intercept form is a form in which an equation can be expressed in and it follows the y = mx + b format.  M is equal to the slope while b displays the y-intercept of the expression.

The easiest way to determine the slope using slope-intercept form us by looking at the coefficient of the variable x (in this case) which is also known as m.  Looking at our equation, we can see that the coefficient in front of the variable x is -2.

Therefore, the option that would best match the details that we provided would be option B, -2.

Answer 2

Answer:

B. -2

General Formulas and Concepts:
Algebra I

Slope-Intercept Form:
[tex]\displaystyle y = mx + b[/tex]

m - slopeb - y-intercept

Step-by-step explanation:

Step 1: Define

Identify given equation.

[tex]\displaystyle y = -2x + 3[/tex]

Step 2: Find Slope m

Let's compare our given equation to the general equation Slope-Intercept Form to identify our values for slope m and y-intercept b:

Compare:
[tex]\displaystyle\begin{aligned}y & = mx + b \\y & = -2x + 3 \\\end{aligned}[/tex]

We can see that our y-intercept b is equal to 3 and that our slope m is equal to -2.

∴ the slope of the given line is equal to -2 and the answer choice that correlates with this is answer choice B.

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Topic: Algebra I


Related Questions

The ruins of a pyramid has 49 blocks in the bottom row. Each additional row has two less blocks than the first. If there are 15 rows in total:

Answers

There are 18 blocks in the first row

The missing part of the question

Calculate the number of blocks on the first row

How to determine the number of blocks?

The ruin is given as:

Ruin = 49

The common difference is given as:

d = -2

The number of block on each row is then represented as:

Blocks = 48 - 2n

Where n represents the number of rows.

In this case, the first row would have a value of n = 15

So, we have:

Blocks = 48 - 2 * 15

Evaluate

Blocks = 18

Hence, there are 18 blocks in the first row

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Class A has 26 pupils and class B has 14 both classes sit the same maths test . The mean score for class A is 66 the mean score for both classes is 66. What is the mean score in maths test for class B

Answers

Answer:

66

Step-by-step explanation:

this is actually an almost trick question because it wants to confuse you!

Here's the trick

to work out a mean (average) you add all the components together then divide by the amount of groups.

but here they didn't give you components just the mean of the classes...both of them.

the question says "The mean fpor class A is 66, the mean score for BOTH classes is 66"

so this means that Class B's mean score is 66 too

hope this helps

given f(x)=5(4-x) what is the value of f(-7)

Answers

So we replace "x" with the necessary value (-7):

[tex]f( - 7) \: = \: 5(4 \: - \: ( - 7))[/tex]

[tex]f( - 7) \: = \: 5(4 \: + \: 7)[/tex]

[tex]f( - 7) \: = \: 5 \: \times \: 11[/tex]

[tex]f( - 7) \: = \: \boxed{ \bold{55}}[/tex]

Answer:

[tex] \boxed{ \bold{55}}[/tex]

MissSpanish

A square has a perimeter of 64 yd. What is the length of each side?

Answers

[tex]\huge\sf\color{red}{Answer:}[/tex]

Formula:

To get the length of each side just divide it by 4.

Lets solve : )

64 ÷ 4 = 16.

So the answer would be [tex]\large\sf\color{red}{16}[/tex]

Use the diagram to answer the question

Answers

Step-by-step explanation:

cos(a) = 1/2 or 0.5

that means a = 60°

the cosine value is the x coordinate, the sine value the y coordinate.

so, only an answer with 1/2 as x coordinate can be right.

and therefore, the 4th answer (bottom right) is correct.

Lisa kicked a ball against the wall at the indicated angle. what is the measure, in degrees, of <1?

Answers

The measure of angle ∠1 will be 68 degrees.

The missing graph is given below.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The diagram is given below.

Then the measure of angle ∠1 will be

68° + 44° + ∠1 = 180°

                  ∠1 = 68°

The measure of angle ∠1 will be 68 degrees.

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Find the value that completes the proportion. 27/90 = 3/?

a. 10
b. 27
c. 9
d. 3

Answers

Answer:

a. 10.

Step-by-step explanation:

27 / 3 = 9

90/10 = 9

So it's 10.

A. The graph is translated 2units down.
B. The graph is translated 2 units left.
C. The graph is translated 2 units right.
D. The graph is translated 2 units up.

Answers

Answer:

c

Step-by-step explanation:

the -2 causes a shift 2 units right

what is 6÷2(1+2)

someone help ​

Answers

Hopes this helps:

Answer: 9

1. Simplify 1 + 2 to 3.

6 divided by 2 times 3


2. Simplify 6 divided by 2 to 3.

3 times 3


3. Simplify.

9

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{6\div2(1 + 2)}[/tex]

[tex]\mathsf{= \dfrac{6}{2}(1 + 2)}[/tex]

[tex]\mathsf{= \dfrac{6}{2}\times(1 + 2)}[/tex]

[tex]\mathsf{= \dfrac{6}{2}\times \bf 3}[/tex]

[tex]\mathsf{= \bold{3}\times3}[/tex]

[tex]\mathsf{= \bf 9}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{9}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Question meant for only the smartest. Please help would be much appreciated!

Answers

Answer:

the length of DE is 1/2*9 = 4.5

Does the order in which the two transformations in a composite transformation affect the final
answer? provide an example to illustrate your answer.

Answers

The order in which the two transformations in a composite transformation affect the final answer

How to determine the composite transformation?

To determine if order matters or not, I will use the following example and illustration.

Let the coordinate of point A be:

A = (2, 5)

Perform the following transformations:

Translate by (x, y + 1)Dilate by a scale factor of 2

First order: Translation before dilation

The translation by (x, y + 1) would give:

A' = (2, 5 + 1)

A' = (2,6)

The dilation by a scale factor of 2 would give

A" = 2 * (2,6)

A" = (4,12)

Second order: Dilation before translation

The dilation by a scale factor of 2 would give

A' = 2 * (2,5)

A' = (4,10)

The translation by (x, y + 1) would give:

A'' = (4, 10 + 1)

A'' = (4,11)

See that the final coordinates in both orders are not the same.

Hence, the order in which the two transformations in a composite transformation affect the final answer

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Which statements correctly describe the fraction bar diagram shown at left? Check all that apply.

A fraction bar labeled 1 whole divided into 7 parts. 1 part is shaded.
The unshaded portion of the fraction bar represents a unit fraction.
Each part of the whole fraction bar is equal to one-seventh.
The shaded portion of the fraction bar represents a unit fraction.
The shaded portion of the fraction bar represents .
Each part represents a unit fraction.

Answers

The statements that describe the fraction bar diagram shown are:

B. Each part of the whole fraction bar is equal to one-seventh.

C. The shaded portion of the fraction bar represents a unit fraction.

E. Each part represents a unit fraction.

What is a fraction bar?

A fraction bar is a visual representation of fractions that helps in comparing fractions and carrying out operations with fractions.

Here,  each part of the whole fraction bar is equal to one-seventh, the shaded portion of the fraction bar represents a unit fraction, and each part represents a unit fraction.

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Mallory took out a loan for $1500. She paid the loan back in 1 year with 7% simple interest. How much did Mallory pay in total?

Answers

Answer:

$1605

Step-by-step explanation:

Because this is simple interest, you can convert the 7% into a decimal

Because she payed an EXTRA 7% she payed 107% total

107% is the equivalent to 1.07

By multiplying 1500 x 1.07 = 1605

Christian owns a small business selling bagels. He knows that in the last week 10 customers paid cash, 14 customers used a debit card, and 38 customers used a credit card. Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.

Answers

Answer: 61.29%

Explanation:
10 cash + 14 debit + 38 credit = 62 overall
38/62 = 61.29%

The probability that the next customer will pay with a credit card is 0.61.

What is probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.

Given that Cristian's customers pay using, cash, debit cards and credit cards,

He knows that in the last week 10 customers paid cash, 14 customers used a debit card, and 38 customers used a credit card.

We need to find the probability that the next customer will pay with a credit card,

Therefore,

The favorable outcomes = 38

Total outcomes = 38+10+14 = 62

Therefore,

P(credit cards) = 38/62 = 0.61

Hence the probability that the next customer will pay with a credit card is 0.61.

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can someone help me with this problem? thank you!

Answers

Answer:

When 6x - 4 = 8, x = 2.

Step-by-step explanation:

6x - 4 = 8

Add 4 to both sides.

6x = 12

Divide both sides by 6.

x = 2

Proof:

6x - 4 = 8

Substitute variable.

6(2) - 4 = 8

Multiply 6 and 2.

12 - 4 = 8

Subtract 4 from 12.

8 = 8

Answer:

x is 2

Step-by-step explanation:

Simplify equation

What happens to one side must happen to the other

Add 4 to both sides

This tells us 6x is 12

Divide both sides by 6

X is 2

The mean percent of childhood asthma prevalence in 43 cities is 2.25​%. A random sample of 31 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.7​%? Interpret this probability. Assume that σ= 1.27​%.

The probability is
(Round to four decimal place)

Answers

The Probability that the mean childhood asthma prevalence for the sample is greater than 2.7% is 0.0357.

What is Probability ?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

For a Normal Distribution, the z-score formula

[tex]z = \dfrac{X-\mu}{\sigma}[/tex]

Here X is the mean and sigma is the standard deviation.

Mean of 2.25​% = 2.25​

The standard deviation of 1.27%, sigma = 1.27

For Sample 31 the value of the standard deviation is

s = 1.27/√31

s = 0.2442

Substituting the values

Z = ( 2.25 -1.27)/0.2442

Z = 1.8

the p-value from the graph of z and p = 0.9643

To determine value of probability greater than X is 1 - 0.9643 = 0.0357

The Probability that the mean childhood asthma prevalence for the sample is greater than 2.7% is 0.0357.

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What is the percent increase of going from 40 to 60

Answers

Answer: 50%

Step-by-Step Explanation:

Initial => 40
Final => 60
Increase = 60 - 40 => 20

Increase % = Increase/Initial * 100

Therefore,
=> Increase/Initial * 100
= 20/40 * 100
= 20/4 * 10
= 200/4
=> 50

Hence, Increase % = 50%

The percent increase of going from 40 to 60 is 50%.

We have the Formula

Percent Increase = (New Value - Original Value) / Original Value x 100

As, the values changes from 40 to 60.

So, Percent Increase = (60 - 40) / 40 * 100

Percent Increase = 20 / 40 * 100

Percent Increase = 0.5 * 100

Percent Increase = 50%

Therefore, going from 40 to 60 represents a percent increase of 50%.

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Create a cylinder with a height of 14 cm and a radius of 10 cm. what can be concluded about the cylinder’s volume when the radius is halved? the volume is one-fourthof the original. the volume is one-thirdof the original. the volume is one-halfof the original. the volume is twice the original.

Answers

The conclusion about the cylinder volume when the radius is half is that the volume is one-fourth of the original

How to find the volume of a cylinder?

The volume of a cylinder can be represented as follows;

volume = πr²h

volume = π × 10² × 14

volume = 1400π cm³

Let's half the radius as follows:

radius = 10 / 2 = 5 cm

volume = π × 5² × 14

volume = 350π cm³

Therefore, the new volume is one fourth of the original when the radius is halved.

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Answer:

a

Step-by-step explanation:


Where is the other endpoint located if the midpoint is at (0,-5) and one of the endpoints is (-3,-2)?

Answers

Answer:

3,-8

Step-by-step explanation:

x: from -3 to 0   is  +3    add +3 more     3

y: from -2 to -5 is   -3     add -3 more    -8

How do I simplify this expression?

Answers

Answer:

[tex]a=1\\\\b=7[/tex]

Step-by-step explanation:

[tex]\dfrac{x^2 (y^3)^4}{xy^5}\\\\\\=x^{2 -1} \cdot \dfrac{y^{3 \times 4}}{y^5}\\\\\\=x^1 \cdot \dfrac{y^{12}}{y^5}\\\\\\=x^1 \cdot y^{12-5}\\\\\\=x^1 \cdot y^7\\\\\text{Hence a = 1, b = 7}[/tex]

the surface area of a cylinder is 140 pie square feet, and its height is 9 feet. find its radius

Answers

Answer:

the radius is 2.02

Step-by-step explanation:

use the formula to solve the radius of a cylinder

Maria is on a hike. If she hikes to the scenic lookout on the following map first, she will have to hike farther than if she
went straight to the end of the hike.
Y
end
scenic lookout
5 6 7
1
765
4
6+
5+
432
23
-2+
-3+
-4+
-5+
67
7-6-5-4-3-2
Maria
Coordinate values on the map are in kilometers.
1
1
N
HE

Answers

Based on the distance to the end of the hike and the distance to the scenic lookout, we can calculate that the straight route is 2 km shorter than the scenic lookout route.

Which route is shorter for Maria?

If Maria took the straight route to the end of the Hike from the coordinates, (4, -4) to (-5, 5), she would have to walk 13 km.

If she went the scenic lookout route, she would have to first go to (2,3) before going to (-5,5) which is 15 km.

The difference is:

= 15 - 13

= 2 km

A more readable version of the question is:
Maria is on a hike. If she hikes to the scenic lookout on the following map first, she will have to hike farther than if she went straight to the end of the hike.

3 connected points on a coordinate plane. The point labeled, "Maria," is at 4, -4. The point labeled, "end," is at -5, 5.

A solid line connect the points "Maria" and "end." The point labeled, "scenic lookout," is at 2, 3. Dashed lines connect "Maria" to "scenic lookout" and connect "scenic lookout" to "end."

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Answer:

2KM

Step-by-step explanation:

Please answer
i need this for my mathhhh

Answers

The two column proof for the given angle addition has been carried out below.

How to Carry out two column proof?

1) m∠CZE = m∠1 + m∠2

Reason: Angle Addition Property

2) m∠FXH = m∠3 + m∠4

Reason: Angle Addition Property

3) m∠CZE = m∠FXH

Reason: Given

4) m∠1 + m∠2 = m∠3 + m∠4

Reason: Substitution Property

5) m∠1 = m∠3

Reason: Subtraction Property

6) m∠3 + m∠2 = m∠3 + m∠4

Reason: Substitution Property

7) m∠2 = m∠4

Reason: Subtraction Property

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What is the Product?

Answers

The given,matrix is [1  -4  5  -7] Thus, the correct option is A [3  -12  15  -21].

What is the fundamental principle of multiplication?

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

The given, a matrix is

[1  -4  5  -7]

The product will be

3. [1  -4  5  -7]

[3  -12  15  -21]

Thus, the correct option is A [3  -12  15  -21].

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2x + 5y = -16 solve for Y

Answers

Answer:

y = -(2x+16) / 5

Step-by-step explanation:

2x + 5y = -16

5y = -2x - 16

y = (-2x - 16) / 5

y = -(2x+16) / 5

In multiplication, what is the inverse
of this number?
Give your answer in lowest terms.
1000
450

Answers

The multiplicative inverse of 1000/450 is 9/20

How to determine the inverse of the number?

The multiplicative inverse of a number x is:

Inverse = 1/x

The number is given as: 1000/450.

So, we have:

Inverse = 1/(1000/450)

Evaluate the expression

Inverse = 450/1000

Simplify

Inverse = 9/20

Hence, the multiplicative inverse of 1000/450 is 9/20

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Omar keeps track of the number of people inside a music hall to attend a concert by
looking at the number of scanned tickets. He plotted the data on the graph below,
where z 0 represents the time at 6 p.m., then drew a line of best fit. If we extended
the line, what would the value of y tell us when x= 3

Answers

Answer:

Lamar wants to predict the number of customers who may be interested in going to a music festival when a ticket to the festival costs $25. Using survey data, Lamar drew a line of best fit to make his prediction. Which should Lamar predict to be the number of customers interested in attending the music festival when the ticket price is $25?/

hat is the slope of the linear relationship shown in this table of values?

x y
-4 11
2 -1
5 -7

Answers

By using any two of the points in the table, we will see that the slope is -2.

How to get the slope for the linear relationship?

A general linear relationship is:

y = a*x + b

Where a is the slope and b is the y-intercept.

Remember that if the line passes through (x₁, y₁) and (x₂, y₂), the slope is:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Here we can use the first two points on the table:

(-4, 11) and (2, -1), so the slope is:

[tex]a = \frac{11 - (-1)}{-4 - 2} = 12/-6 = -2[/tex]

Then the slope of the line is -2.

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If Q, DE=FG. Which must be true? Select all that apply.

Answers

Answer:

A and E

Step-by-step explanation:

A is already given by the basic fact that DE = FG. this makes the 2 lines automatically also congruent.

but this does not tell us anything about EF.

E and F could be very close together or far apart, and still DE = FG can be true in either case.

and that is why B, C and D could be true, but they are not in all cases true, and therefore these statements are in general false.

Find the sum of the following series.


PLEASE SOMEONE HELP!!!

Answers

The given sum for n = 1 to n = 15 is equal to 255, so the correct option is B.

How to find the sum of the given series?

We want to find the sum of the series whose elements are of the form:

(2n + 1)

From n = 1 to n = 15.

Then our sum will be:

(2*1 + 1) + (2*2 + 1) + ... + (2*15 + 1).

3 + 5 + ... + 31

This is the sum of all odd numbers in the interval [3, 31]

Which gives:

[tex]S = 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31 = 255[/tex]

So the correct option is B.

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