Explain EACH step you would take to solve the following system using substitution.
y = 3x - 5
x = 2

Answers

Answer 1

Answer:

y=1

Step-by-step explanation:

y=(3)(2)−5

y=6-5

y=1

Answer 2

Answer:

-3

Step-by-step explanation:

Use the slope-intercept form to find the slope and y-intercept.  

The slope-intercept form is  y = m x + b , where  m  is the slope and  b  is the y intercept.

y = m x + b

Find the values of  m  and  b  using the form  y = m x + b .

m =− 5 3 b = 2

The slope of the line is the value of  m , and the y-intercept is the value of  b .

Slope:  

− 5 3

y-intercept:  2

Any line can be graphed using two points. Select two  x  values, and plug them into the equation to find the corresponding  y  values.

Choose  0  to substitute in for  x  to find the ordered pair.

Replace the variable  x  with  0  in the expression.

f ( 0 ) = − 5 ( 0 ) 3 + 2

Simplify the result.

Simplify each term.

Cancel the common factor of  0  and  3 .

Factor  3  out of  5 ( 0 ) .

f ( 0 ) = − 3 ( 5 ⋅ ( 0 ) ) 3 + 2

Cancel the common factors.

Factor  3  out of  3 .

f ( 0 ) = − 3 ( 5 ⋅ ( 0 ) ) 3 ( 1 ) + 2

Cancel the common factor.

f ( 0 ) = − 3 ( 5 ⋅ ( 0 ) ) 3 ⋅ 1 + 2

Rewrite the expression.

f ( 0 ) = − 5 ⋅ ( 0 ) 1 + 2

Divide  5 ⋅ ( 0 )  by  1 .

f ( 0 ) = − ( 5 ⋅ ( 0 ) ) + 2

Multiply  5  by  0 .

f ( 0 ) = − 0 + 2

Multiply  − 1  by  0 .

f ( 0 ) = 0 + 2

Add  0  and  2 .

f ( 0 ) = 2

The final answer is  2 .

2

The  y  value at  x = 0  is  2 .

y = 2

Choose  3  to substitute in for  x  to find the ordered pair.  

Replace the variable  x  with  3  in the expression.

f ( 3 ) = − 5 ( 3 ) 3 + 2

Simplify the result.

Simplify each term.

Cancel the common factor of  3 .

Cancel the common factor.

f ( 3 ) = − 5 ⋅ 3 3 + 2

Divide  5  by  1 .

f ( 3 ) = − 1 ⋅ 5 + 2

Multiply  − 1  by  5 .

f ( 3 ) = -5 +2

Add  − 5  and  2 .

f ( 3 ) = − 3

The final answer is  − 3 .

− 3

The  y  value at  x = 3  is  − 3 .

y = − 3

Create a table of the  x  and  y  values.

x-   0,  3

y- 2, -3

Graph the line using the slope and the y-intercept, or the points.

Slope:   − 5 /3

y-intercept:  2

x- 0, 3

y- 2, -3


Related Questions

please help! all answers are appreciated​

Answers

I think it would be 1,200ml or 800 try 1,200ml first

Answer:

Its A. 600 ml.

Step-by-step explanation:

1st. Find the ml of milk for one pancake. So 400 divided by 10, it equals 40ml. So to find how many ml for 15 pancakes...you multiply 15 and 40 ml, and that will give you 600ml needed.

Name the property. 7xy = 7yx

Answers

Commutative property of multiplication

Naomi recorded the total weight of different numbers of apples. Her results are shown by using the scatterplot and the trend line shown below. Apples A graph has number of apples on the x-axis, and total weight (pounds) on the y-axis. Points are between (4, 5) and (15, 14). For which number of apples is the prediction of the total weight an extrapolation?
1. 6
2. 12
3. 15
4. 18

Answers

Answer:

The answer is D. 18

Step-by-step explanation:

Im on a unit test review rn just saying

The required number of apples is 18 for which the prediction of the total weight is an extrapolation.

Data has been given, for apples as weight and number of apples, for the number of apples is the prediction of the total weight an extrapolation is to determine.


What is extrapolation?

Extrapolation is defined as the estimation of an unspecified value established on extending a known series of values or realities. Extrapolating is to assume something not directly stated from existing data. Alter of extrapolation is Interpolation, it is the accomplishment of calculating a value between two comprehended values that exist between a sequence of values.

Since among the options number of apples for extrapolation is supposed to be the one that is beyond the given range, So for the following number of apples is 18.

Thus, The required number of apples is 18 for which the prediction of the total weight is an extrapolation.

Learn more about extrapolation here:
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WILL MARK BRILLIANT
5.
Find the midrange of the data set.
31.2 48.6 54.8 47.6 51.5 35.8 37.3 42.8

• 44.1
• 43.7
• 43.0
• 45.2

Answers

Answer:

43 is your answer......

The numbers in this number set are _______ their absolute values. Answer choices: Smaller than, the same, and larger than. Numbers larger than 1: Zero: Negative Numbers: Positive Proper fractions Non- negative numbers:

Answers

Answer:

Smaller than

Positive numbers

Step-by-step explanation:

The absolute value of a number is the distance from the zero. This can be positive or negative forming the absolute number. The distance is negative when the number is positive. The absolute numbers are used in the equations for the solutions. The numbers greater than zero are positive numbers.

How do I solve this equation?

Answers

Answer:

x = 132

Step-by-step explanation:

Solve by raising both sides to the multiplicative inverse of the exponent.

[tex]((x-7)^{\frac{2}{3} } )^{\frac{3}{2} } =25^{\frac{3}{2} }[/tex]

x - 7 = 125

x = 132

5th grade math. Correct answer will be marked brainliest. What goes in the blank box?

Answers

Answer:

The answer is 1.97 meters per second

Step-by-step explanation:

Plz give brainliest thanks :) Let me explain you how you do this Housefly is 1.967

The 7 is the tenth and the 6 is the hunderth

1.967 round to 1.96 from the hunderths because the last number is greater than 5 so you round up!

Answer:

1.97

Step-by-step explanation:

REMEMBER: 5 or higher, round up, 4 or lower, round down

Since 7 is above 5, we round it up, turning 1.967 to 1.97

Select the number line model that matches the expression 4 - 1

Answers

Answer:

c. None of the above

Step-by-step explanation:

Given the expression, |4 - 1|, the value of the expression would give us 3. Meaning that the distance between coordinate 4 and 1 is 3 units.

None of the graphs given models the expression, |4 - 1|.

Option A, would match |-4 -1| = 5 units

Option B, would match |-1 - 4| = 5 units.

Therefore, the answer is c. None of the above

What is the main idea of the White House

Answers

Answer:

The White House is the solemn residence and the workplace of the President in the United States Of America. The president can also have his family there.

Step-by-step explanation:

The main motto or goal of the white house is to give and protect the fundamental rights of United States citizens

The ven diagram below is used for showing odd numbers and prime numbers place the numbers 1,2,3,4 and 5 in the ven diagram

Answers

It is right I made this in venn diagram . sorry for poor picture quality

Consider these functions: f(x)= -2x - 1 g(x)= -1/2x + 1/2 Which statements, if any, are true about these functions? I. The function f(g(x)) = x for all real x. II. The function g(f(x)) = x for all real x. III. Functions f and g are inverse functions. A. I only B. II only C. I, II, and III D. None of the statements are true.

Answers

Answer:

A. I only

Step-by-step explanation:

Given the functions

h(x)= -2x - 1 g(x)= -1/2x + 1/2

h(g(x) =h( -1/2x + 1/2)

=f((-x+1)/2)

We are to replace x in h(x) with -x+1/2

h((-x+1)/2) = -2(-x+1)/2 + 1

h((-x+1)/2) = -(-x+1)+1

h((-x+1)/2)= x-1+1

h((-x+1)/2) = x

h(g(x) = x

Also for g(h(x))

g(h(x)) = g(-2x-1)

Since g(x) = -x+1/2

g(-2x-1) = -(-2x-1)+1/2

g(-2x-1) =2x+1+1/2

g(-2x-1) = 2x+2/2

g(-2x-1) = 2(x+1)/2

g(-2x-1) = x+1

Sine g(h(x)) ≠ h(g(x)), hence both functions are not inverses of each other

Hence I. The function h(g(x)) = x is the only correct option. Option A is correct

The correct option is: A. I only

We have functions:

[tex]h(x)= -2x - 1 \\g(x)= -\frac{1}{2} x +\frac{1}{2} \\h(g(x)) =h(-\frac{1}{2} x +\frac{1}{2}) \\h(g(x))=f(\frac{-x+1}{2} )[/tex]

Now, replace x in h(x) by [tex]\frac{-x+1}{2}[/tex]

So,

[tex]h(\frac{-x+1}{2} ) = -2(\frac{-x+1}{2}) + 1\\h(\frac{-x+1}{2} ) = -(\frac{-x+1}{2}) + 1\\h(\frac{-x+1}{2} )= x-1+1\\h(\frac{-x+1}{2} )=x\\h(g(x)) = x[/tex]

Now, g(h(x))

g(h(x)) = g(-2x-1)

Since [tex]g(x) = \frac{-x+1}{2}[/tex]

[tex]g(-2x-1) = \frac{-(-2x-1)+1}{2} \\g(-2x-1) =\frac{2x+1+1}{2}\\g(-2x-1) =\frac{2x+2}{2}\\g(-2x-1) = x+1[/tex]

As g(h(x)) ≠ h(g(x)),

Therefore, both functions are not inverses of each other.

Hence A. I only

The function h(g(x)) = x is the only correct option.

So, option A is correct.

Learn more:https://brainly.com/question/10572318

WILL GIVE BRAINLEST! Is this relationship proportional why or why not?​

Answers

Yes it is because it passes the line and made at exact point on 12. :)) ^^ give them brainly though

what is the missing part​

Answers

do 24 times 25 and then divide that in half

i just need the answers, u dont have to show ur work if u dont want

Answers

Answer:The answer is 10

Step By Step Explination:

from point (0,-7) and (-6,1) it is 10 spaces from eachother in a graph

what is 10+2p=12+1.5p
p=

Answers

Answer:

p=4

Step-by-step explanation:

One of every four doctors recommended Tylenol. If there are 2250 doctors, approximately how many recommended the medicine ?

A. 225
B.560
C.850
D.10,000

Answers

Answer:

Step-by-step explanation:

C

At attorney charges, a fixed fee of $250 for an initial meeting and $150 per hour for all hours worked after that. Find the slope and y-intercept for the data.
slope:
y-intercepy:

Answers

Answer:

slope: 150

y-intercept: 250

y= 150x+250

Step-by-step explanation:

jamie reads 15 pages in 25 minutes and wants to know how many pages she can read in 65 minutes

Answers

Answer:

39

Step-by-step explanation:

15/25 = 0.6 - She can read 0.6 pages in 1 minute.

0.6 X 65 = 39

There are 39 pages she can read in 65 minutes.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

Jamie reads 15 pages in 25 minutes

And, wants to know how many pages she can read in 65 minutes

Now, Let number of pages read in 65 minutes = x

Hence, We can formulate;

x / 65 = 15 / 25

x = 15 x 65 / 25

x = 39

Thus, There are 39 pages she can read in 65 minutes.

Learn more about the proportion visit:

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What is the greatest common factor of 10 and 75?

Answers

Answer:

the greatest common factor of 10 and 70 is 10

Answer:

5

Step-by-step explanation:

have a good day

5 (2x – 1) –7 = 2 (x – 3)

Answers

Answer:

x−3=x−3

Step-by-step explanation:

Evaluate (2x−1)−7, then set it equal to 2.

Subtract 7 from −1 = 2x−8

Solve 2x−8=2.

Move all terms not containing x to the right side of the equation.

Add 8 to both sides of the equation=2x=2+8

Add 2 and 8=2x=10

Divide each term by 2 and simplify.

Divide each term in 2x=10 by 2=2x/2=10/2

Cancel the common factor of 2

Cancel the common factor=10/2

Divide x by 1=x=10/2

Divide 10 by 2=x=5

Remove parentheses=x−3

List all of the solutions.

5=

(2x−1)−7=2=x=5

x−3=x−3

i need help to solve please

Answers

Answer:

x = 52

Step-by-step explanation:

Known:

What to find = x

Exterior angle = 142

Right angle = 90

Unknown:

what unknown value is = ?

Interior angle = ?

1. Find the angle of the interior angles.

180 - 142 = 38

2. Add the two known angles

38 + 90 = 128

3. Subtract from 180

180 - 128 = 52

x = 52 is the answer.

Hope this helped,  

Kavitha Banarjee

Brandi earned $140 from a summer job to buy new clothes for school. She found several items she would like to buy, but is trying to decide if she has enough money to buy all the items she likes. She found two pairs of shorts for $25 each and four shirts with an average cost of $19 per shirt. She will have to pay 7.5% sales tax.

Answers

Answer:

She will pay a tax of $9.45

Step-by-step explanation:

The question doesn't seem complete, but since we are given her tax rate, then they would surely ask for the amount of tax she paid. So let's work on this.

We are told that she bought two pairs of shorts and one short goes for $25 each, this implies that she will get the two for:

= $25 × 2

= $50

We are also told that she got four shirts that have an average cost of $19 per shirt. This implies that she will get the four shirt for:

= $19 × 4

= $76

Since she will have to pay a tax of 7.5%, then we will calculate it as:

= 7.5% × ($50 + $76)

= 0.075 × $126

= $9.45

Answer:

A. $9.45

B. Total cost = $135.45

Step-by-step explanation:

PART A: If she buys all of the items, how much sales tax will she have to pay?

The sales tax for Brandi's purchase will be $(insert answer here)

PART B: What is the total cost of her purchase including sales tax?

Brandi will spend $(insert answer here) on her purchases, including sales tax.

A.

Total amount earned = $140

Two pairs of shorts = $25 each

Total cost of 2 shorts = 2 shorts × $25 each

= $50

Four shirts = $19 each

Total cost of 4 shirts = 4 × $19

= $76

Amount of Sales tax = 7.5% of Total cost of 2 shorts + Total cost of 4 shirts

= 7.5% ($50 + $76)

= 0.075 × 126

= $9.45

Total cost = Total cost of 2 shorts + Total cost of 4 shirts + Amount of Sales tax

= $50 + $76 + $9.45

= $135.45

Therefore, she has enough money to buy all the items she likes

Find the rate of change from the given table.

Answers

Answer the answer is 2:)

Step-by-step explanation:

Answer:

D. 8

Step-by-step explanation:

To find rate of change

m=y2-y1

    ------

    x2-x1

I'm gonna use coordinates (7,56) and (9,72)

m= 72-56

    ---------

     9-7

m=    16

        ---

         2

m=8

A store pays $840 for an oil painting. The store marks up the price by 46%. What is the amount of the mark-up? please help!!!! IXL is driving me crazy

Answers

Answer:

A store pays $840 for an oil painting. The store marks up the price by 46%. What is the amount of the mark-up?

=

$386.40

what would be 6 yd = feet​

Answers

Answer:

18

Step-by-step explanation:

6 yards is equal to 18 feet

Felicia drew a triangle with side lengths that measured 15 cm, 18 cm and 27 cm. To determine if Felicia drew a right triangle, she can use the equations. Group of answer choices 15‾‾‾√+18‾‾‾√=27‾‾‾√ 15 + 18 = 27 15‾‾‾√+18‾‾‾√=27‾‾‾√ 15 + 18 = 27 152+272=182 15 2 + 27 2 = 18 2 152+272=182 15 2 + 27 2 = 18 2 15+18=27 15 + 18 = 27 15+18=27 15 + 18 = 27 182+152=272

Answers

Answer: 18² + 15² = 27²

Step-by-step explanation:

The side lengths of the triangle are 15cm, 18cm and 27cm. To know if it's a right angle triangle, the square of the length of the longest side which is the hypothenuse must be equal to the square of the two other sides. This will be:

18² + 15² = 27²

324 + 225 = 729

549 = 729

Since the answers gotten isn't equal, it is not a right angle triangle.

8. What's the GCF of *
(1 Point)
4x2 - 6x + 8

Answers

Answer:2

Step-by-step explanation:

When converting rational exponents to radical notation, which of the following are correct? Choose all that apply:
1. Numerator of the rational exponent becomes index of the radical notation
2. Negative exponent of the rational exponent makes the radical notation a negative value
3. Denominator of the radical exponent becomes the power of the radicand in the radical notation
4. Denominator of the rational exponent becomes the index of the radical notation
5. Numerator of the rational exponent becomes power of the radicand in the radical notation

Answers

Given:

Converting rational exponents to radical notation.

To find:

The correct statements.

Solution:

According to the property of exponents, conversion of rational exponents to radical notation is

[tex]x^{\frac{a}{b}}=\sqrt[b]{x^a}[/tex]

In [tex]x^\frac{a}{b},[/tex] x is base, a is numerator of the rational exponent and b is denominator of the rational exponent.

In [tex]\sqrt[b]{x^a}[/tex], x is radicand, a is power of radicand and b is index of radical notation.

Denominator of the rational exponent becomes the index of the radical notation.

Numerator of the rational exponent becomes power of the radicand in the radical notation.

Therefore, the correct options are 4 and 5.

Using the conversion of rational exponents to radical notation, it is found that the correct options are:

4. Denominator of the rational exponent becomes the index of the radical notation

5. Numerator of the rational exponent becomes power of the radicand in the radical notation

The conversion of rational exponents to radical notation is modeled by:

[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]

That is:

The numerator becomes the power of the radicand, hence item 5 is correct.The denominator becomes the index of the radical notation, hence item 4 is correct.

A negative exponent just is represented by a fraction, as [tex]a^{-\frac{n}{m}} = \frac{1}{a^{\frac{n}{m}}}[/tex], hence the radical is not negative, and item 2 is incorrect.

A similar problem is given at https://brainly.com/question/13133871

will mark BRAINLIEST

Answers

Answer:

(2, - 1 )

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (2, - 1 ) ← solution

Answer:

the answer is C

Step-by-step explanation:

I think pls dont come at me if i am wrong

Simplify the expression 288 · 1318 − 288 · 1316.

Answers

Answer:

576

Step-by-step explanation:

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