Jill converted the equation of the line 15x-4y=-2 into slope-intercept form and found the slope and y-intercept of
the line as follows.
15x-4y=-2
15x-4y-15x--2-15x
-4y=-2-15x
-4y -2-15x
-4
22
-4
y-2--16x
y-1-15x
y=-15x+12/2
15
4
slope =

Answers

Answer 1

Answer: She got the sign of the slope wrong

Step-by-step explanation:

She did  -4y         -2 - 15x

                -4      =       -4

and turned that into ,

 -2         -     -15x  

 -4    (minus)  -4

which is wrong, because she did the negative twice. Therefore, she mixed up the sign of the slope.

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Related Questions

Determine which integer will make the inequality 5x + 12 > 2x + 6 false.

S:{−3}
S:{3}
S:{−1}
S:{1}

Answers

The integer is x>-2

5 x+12>2 x+6

Subtract 12 from both sides

5 x+12-12>2 x+6-12

Simplify

5 x>2 x-6

Subtract 2x from both sides

5 x-2 x>2 x-6-2 x

Simplify

3 x>-6

Divide both sides by 3

[tex]\frac{3 x}{3} > \frac{-6}{3}$$[/tex]

Simplify

x>-2

Positive, negative, and zero are all examples of integers. The Latin word "integer" signifies "whole" or "intact." As a result, fractions and decimals are not included in integers.

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero. A few examples of integers are: -5, 0, 1, 5, 8, 97, and 3,043.

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pls help me with aswell pls

Answers

Outward journey Speed = 20 km/hr , James stopped for  45  Mins  ,Average speed homewars 15 km/hr

What is speed, for instance?

A measure of speed is the rate at which something is happening, moving, or moving swiftly. The speed of a car being driven at 45 mph serves as an illustration. A person cleaning a room in 10 minutes is an illustration of speed.

From graph  Journey Started at 2PM

on 3PM  James covered 20 km

Hence Speed =  (20 - 0)/(3 -2) = 20 km/hr

outward journey Speed = 20 km/hr

Now outward Distance = 45 km

Time taken = 45/20 = 2 hr 15 min

Hence reached at 4 : 15 PM

Started home at 5 PM

James stopped for  45  Mins  (3/4 hrs)

Reached back at 8PM

time taken = 8 - 5 = 3 Hrs

Distance = 45 km

Average speed homeward = 45/3 = 15 km/hr

Average speed homeward =  15 km/hr

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f(x)= -4x^2+12x-9

What is the value of the discriminant of f?How many x-intercepts does the graph of f have?

Answers

Answer:

discriminant =b^2 -4ac

= (12)^2 -4(-4)(-9)

=0

f(n) = 3 to the power of n
f(-1) =

Answers

The answer to the function as provided that f(n) = 3 to the power of n can thus, solving the linear function as n for -1 we get the answer.

What is a function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

A statement, rule, or law that establishes a relationship between an independent variable and a dependent variable in mathematics (the dependent variable) is said as a function.

f[n]= [tex]3^n[/tex]

And find f(-1)

So put -1 in place of n

thus f[-1] = [tex]3^{-1[/tex]

=1/3

=0.33

In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

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WILL GIVE BRAINLIEST! Please help and explain, thank you! All that is needed is to find the unknown side.

Answers

Answer: 2

Step-by-step explanation: 12 divided by 3 is 4 so 6 divided by 3 would be 2

⇒I will use the similarity theorem which works by proportion of sides in similar shapes.

⇒The side with magnitude 12 in the bigger triangle is proportional with the  side with magnitude 4 in the  smaller triangle

⇒The side with magnitude 6 in the bigger triangle is proportional with the side with magnitude x in the smaller triangle. The proportionality theorem allows us to equalize the proportions of the sides

⇒HOW? HERE it is the solution

[tex]\frac{12}{4} =\frac{6}{x} \\[/tex]

⇒[tex]12(x)=4(6)\\12x=24\\\frac{1x}{12} =\frac{24}{12} \\x=2[/tex]

⇒I used cross multiplication

Use the power reducing fabulous rewrite the identity in terms of the first power of cosine

Answers

The power reducing formula for the fourth power of the cosine function is:

[tex]\cos ^4\theta=\frac{3}{8}+\frac{1}{2}\cos (2\theta)+\frac{1}{8}\cos (4\theta)[/tex]

Replace θ=3x to find the expression for cos⁴(3x) in terms of the first power of the cosine function:

[tex]\begin{gathered} \cos ^4(3x)=\frac{3}{8}+\frac{1}{2}\cos (2\cdot3x)+\frac{1}{8}\cos (4\cdot3x) \\ \frac{3}{8}+\frac{1}{2}\cos (6x)+\frac{1}{8}\cos (12x) \end{gathered}[/tex]

Therefore, the answer is:

[tex]\cos ^4(3x)=\frac{3}{8}+\frac{1}{2}\cos (6x)+\frac{1}{8}\cos (12x)[/tex]

Use the second option to write this expression as input.

Which scatterplot would have a trend line with a negative slope?
On a graph, points are scattered all over the graph.
On a graph, points are grouped together and decrease.
On a graph, points are grouped together and increase.

Answers

Answer: B, the middle graph - "On a graph, points are grouped together and decrease."

Step-by-step explanation:

         A negative slope means the x-value is going down as the y-value increases. The only option that consistently meets this criteria is B, "On a graph, points are grouped together and decrease."

Answer:

The 2nd Graph aka B

Step-by-step explanation:

got it right on edge

A baker uses 20 cups of flour to make bread. She uses 2 1/2 cups of flour to make each loaf. The baker sells 3/4 of the loaves of bread that she makes. How many loaves of bread does the baker sell?

Answers

First you need to see how much bread the baker makes if she uses 20 cups then you have to divide by 2 1/2 to see how much bread she made and all once you do that you get the answer ate the bacon made eight loaves of bread in cells 3/4 of the loads then you have to multiply 3/4 by eight to see how many loaves of bread baker sold once you do that you’re left with the answer 6 THE ANSWER TO YOUR QUESTION IS 6

there is a linear relationship between the distance that a car drives and the amount of gas left in the tank of the car. the value of r2 for this linear relationship is 98.01%. what is the value of r?

Answers

A linear relationship between the distance that a car drives and the amount of gas left in the tank of the car is negative, and the value of r is -0.99

A linear relationship between the distance that a car drives and the amount of gas left in the tank of the car are negative because when a car travels a distance, it consumes fuel, and so fuel decrease with distance

Calculating the value of r

Given, r^2=98.01%

r^2=0.9801

r=±√0.9801

r=±0.99

Since r should be negative, so we pick the negative value and reject the positive value

r=-0.99

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please help me with this homework question!!!

Answers

Answer:

51.06 degree

Step-by-step explanation:

x=sin^(-1)(7/9)

= 51.06 degree

I do not need a whole explanation just make the answer clear, please.

Answers

Answer - A.) Myriah: "The only mistake is in changing the mixed number to an improper fraction."

Can you help me help my sister we are both confused.

Answers

Answer:

A: Common multiple of 4 and 6 is 24

B: They would both be common multiples but they are two different multiples of 4 and 6.

C: 3/4= 18/24    1/6= 4/24

Step-by-step explanation:

A common multiple is a number that two numbers can be multiplied to. Something that both 4 and 6 can be multiplied to is 24, but there are many other multiples of 4 and 6  as well.

I need help! Anyone who takes time out of there day to help me thank you so much!

Answers

Answer:

Step-by-step explanation:

Write an expression that is equivalent to 3/4a + 2/3 - 1/2a - 1/3 + 1/2a

Answers

3/4a +1/3. Combine like terms

Time Elapsed: HieAttempt due: Jun 20 a40 Minutes, 30 SeGiven: 21 and 23 are supplementaryProve: line m || linenComplete the proof. Number your reasons in the textbox below.Reasons1.2.Statements21 and 23 are supplementary21 + 23 = 18022 = 23Z1 + Z2 = 180°21 and 22 are supplementaryline m || linen3.4.5.6.

Answers

Statements and reasons.

1) ∠1 and ∠3 are supplementary

Reason: This is true because it is stated in the question.

2) ∠1 + ∠3 = 180º

Reason: By statement 1, ∠1 and ∠3 are supplementary, and by definition, supplementary angles sum up 180º.

3) ∠2 = ∠3

Reason: From the picture we see that ∠2 and ∠3 are opposite congruent angles, so they are equal.

4) ∠1 + ∠2 = 180º

Reason: from statement 2 we have ∠1 + ∠3 = 180º, and from statement 3 we have ∠2 = ∠3, so we have ∠1 + ∠2 = 180º.

5) ∠1 and ∠2 are supplementary

Reason: from statement 4 we have that ∠1 sum up ∠2, so by definition ∠1 and ∠2 are supplementary.

6) line m || line n

Reason: from the picture we see that ∠1 and ∠2 are internal collateral angles of the lines m and n, and from statement 5 we know that ∠1 and ∠2 are supplementary, so we have that the angle between line m and line n is 180°, and by definition, they are parallel lines.

Summary of the reasons

1) It is stated in the question

2) By statement 1 and by definition of supplementary angles.

3) Because they are opposite congruent angles, so they are equal.

4) By statement 2 and 3.

5) By statement 4, and by definition of supplementary angles.

6) By picture ∠1 and ∠2 are internal collateral angles of the lines m and n, and by statement 5 they are supplementary so they are parallel lines.

Use the graph to estimate the roots of the equation.

Answers

The roots of a function are the points where the graph crosses the x-axis.

Thus, in the following graph, we can see that the function has 2 roots. These are in:

[tex]\begin{gathered} x=-2 \\ \text{and} \\ x=2 \end{gathered}[/tex]

Answer:

x = -2

x = 2

8% of us adults have blood type b-positive. suppose we take a random sample of 38 us adults. let x represent the number of adults (out of the sample of 38) with blood type b- positive. this situation can be modeled with a binomial random variable x. 4. calculate the mean of x. show all work and round your answer to two decimal places.

Answers

Mean of the number of adults (out of the sample of 38) with blood type b- positive (x) is 3.04

Let x be the number of adults out of 38 with blood type b-positive

Probability, p of adults with blood type b-positive=8%=0.08

Sample size, n=38

Using binomial random variable x binomial(n=38, p=0.08)

p(X=x)=[tex]\left \ ({{n} \atop {x}}) \right. p^{x} q^{n-x}[/tex], where x=0,1,2,3,.....n

Mean of x:

Mean of x=(probability of adults with blood type b-positive*sample size)

So, mean of x=p*n, where n=38, p=0.08

                    =0.08*38

                    =3.04

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Help help help help please Heldon 30 Points

Answers

Answer:Rotation then a translation

Step-by-step explanation: rotate 90 degrees clockwise around center J. Then translate 3 to the right, 2 down

Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options. 18 x minus 15 = 72 50 x minus 25 = 72 18 x minus 9 = 72 3 (6 x minus 3) = 72 x = 4.5

Answers

The equations with same value of x as (3/5)(30x - 15) = 72 is 18x - 9 = 72, 3(6x - 3) = 72 and x = 4.5

How to solve an equation?

An equation shows the relationship between two or more numbers and variables.

Given the equation:

(3/5)(30x - 15) = 72

Opening the parenthesis:

18x - 9 = 72

Factorizing the equation:

3(6x - 3) = 72

Dividing through by 3:

6x - 3 = 24

6x = 27

Dividing through by 6:

x = 4.5

The solution to the equation (3/5)(30x - 15) = 72 yields x = 4.5

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Rewrite the following numbers as rational numbers in the form of p/q (where P and Q are integers and Q≠O) in there lowest terms:
a). 0.75
b). 0.12
c). 0.80
d).1.25​

Answers

The numbers in the rational form ( in there lowest form) of p/q are

(a) 0.75 = 3/4

(b) 0.12 = 3/25

(c) 0.80 = 4/5

(d) 1.25 = 5/4

In the question ,

number in the decimal form are given , and we have to express them in the rational form that is p/q .

So ,the expressions in rational form and lowest form are

(a) 0.75 [tex]=[/tex] 75/100 = 3/4

(b) 0.12 [tex]=[/tex] 12/100 = 6/50 = 3/25

(c) 0.80 [tex]=[/tex] 80/100 = 8/10 = 4/5

(d) 1.25 [tex]=[/tex] 125/100 = 5/4

Therefore , The numbers in the form of p/q are  (a) 0.75 = 3/4 , (b) 0.12 = 3/25 , (c) 0.80 = 4/5  , (d) 1.25 = 5/4   .

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155% as a mixed or whole number

Answers

Answer:

[tex]1\frac{11}{20}[/tex]

Step-by-step explanation:

155% = 155 / 100 = 1.55

1.55 =155/1 × 100 / 100 = 155 / 100

155 / 100 = 31 / 20

31 / 20 = 1 11/20

Complete the tables of values for x+2y =7

Answers

Answers for the chart left to right
(-2, 4 1/2) (-1, 4) (0, 3 1/2) (1, 3) (2, 2 1/2) (3, 2)

Step by step
First I put our equation into y intercept form

2y = -1x + 7

Divide both sides by 2 to isolate y

2/2 y = -1/2x + 7/2

y = -1/2x + 3 1/2

Now we fill in your chart

From this we see the y intercept is at 3 1/2, so at (0, 3 1/2) is our coordinate on the y axis.
Enter this on your chart at 0x.

From here, we see our slope or rate of change is - 1/2 for every x value. So moving to the right from 0
3 1/2 + -1/2 = 3, (1, 3)
3 + -1/2 = 2 1/2 (2, 2 1/2)
2 1/2 + -1/2= 2 (3, 2)

Moving left from 0
3 1/2 - -1/2 = 4 (-1, 4)
4 - -1/2 = 4 1/2 (-2, 4 1/2)

Now you can graph your points
I did a graph for you as an example in the attachment

Can anybody help me on this please? Does anyone see my question?

Answers

The slope of the line is represented by the word m which is obtained as 0.5.

What is the slope?

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

To determine a line's inclination or steepness, use the slope formula. Calculating the ratio of the change in the y-axis to the change in the x-axis may be used to calculate the slope of any line.

From the graph, the data is observed as,

(x₁,y₁)=(0,1)

(x₂,y₂) = (-2,0)

The slope of the line is found as,

[tex]\rm m =\dfrac{0-1}{-2-0} \\\\ m = 0.5[/tex]

Thus, the slope of the line is represented by the word m which is obtained as 0.5.

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Question 3 options:
Premises:

If you have a cat, then it will chase mice.

You have a cat.

Conclusion:

Your cat will chase mice.

The Law of

Answers

The law of mathematical logic that was used to derive the given conclusion is; Law of Syllogism

What is the Law of Syllogism?

The law of syllogism is defined as a type of logical argument using deductive reasoning.

Now, In mathematical logic, the Law of Syllogism states that if the following two statements are true:

(1) If d , then e .

(2) If e , then f .

Then we can derive a third true statement:

(3) If d , then f .

Now, applying that law to our question, we see that;

1) If you have a cat, then it will chase mice.

2) You have a cat.

Then we can derive a third true statement:

3)  Your cat will chase mice.

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Someone please do this. due soon!! 30 points given as well as marked brainliest!!

Answers

All answers based on the Angles Properties.

Given,

From the figure,

Point P is on the bisector of ∠ABC

Fill the table in the given question.

Now, According to the question:

Statement                                                Reason

1. BP is the bisector                                     Given

2.  ∠ABP ≅ ∠CBP                            The definition of angular bisector

3. ∠BXP and ∠BYP are                                Given

     right angles.

4.  m ∠BXP ≅ m ∠BYP                         All right angles are congruent

5.   BP ≅ BP                                                 Reflexive Property

6. ΔBXP ≅ ΔBYP                                                 AAS

7.  PX ≅ PY                                                         CPCTC

8. Point p is equidistant                             Definition of equidistant.

   from the sides of ∠ABC

Hence, All answers in the table .

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Can someone please help me with this 20 points!

Answers

LJN is the correct answer

Please help 20 points

I don't understand how I'm supposed to solve this I divided both sides and then multiplied but it says my answer is wrong

My teacher said to put 1 under 12

Answers

Answer: 16

Step-by-step explanation: Solve for x

by simplifying both sides of the equation, then isolating the variable.

Answer:

x= 1/3

Step-by-step explanation:

1. Combine multiplied terms into a single fraction

2. Multiply all terms by the same value to eliminate fraction denominators

3. Cancel multiplied terms that are in the denominator

4. Divide both sides by the same factor

5. Simplify

2x+3x+4x=180 what’s x

Answers

[tex](2x + 3x + 4x) = 180 \\ 9x = 18 \\ \frac{9x}{9} = \frac{180}{9} \\ x = 20[/tex]

ATTACHED IS THE SOLUTION with the steps.

2x+3x+4x=180
x=20

Hope this helped!

Can someone help me please

Answers

"Subtract to eliminate x" is correct option that is option C for the given set of equations -3x+2y=-15 and -3x-6y=9. equation defines "A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Y = mx + c represents the equation of a straight line with gradient m and intercept c on the y-axis".

What is  equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

-3x+2y=-15

-3x-6y=9

subtract to eliminate x

8y=-24

For the given set of equations, -3x+2y=-15 and -3x-6y=9, option C, "Subtract to eliminate x," is the correct option. Equation explains "The general equation of a straight line is y = mx + c, where m stands for the gradient and y = c for the point where the line crosses the y-axis. This value c is referred to as the intercept on the y-axis. The equation of a straight line with gradient m and intercept c on the y-axis is represented by Y = mx + c ".

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I need to know what is the missing reason for line 7 in this proof

Answers

Similarity Theorems

Triangles ABG and DCB are similar by the AA similarity postulate

"If two angles in one triangle are congruent to two angles in another triangle, then the two triangles are similar"

The steps previous to statement 7 prove angles C and B are congruent because they are formed by two parallel lines that intersect a common line.

On the other side, angles DBC and AGB are congruent also because they are both right angles.

With two corresponding congruent angles, the AA similarity postulate is satisfied and the triangles are similar.

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