f(x) = 2(x – 1)– 5 and g(x) = – 2x + 1 , determine the x-values of the points of intersection.

Answers

Answer 1

Answer:

             x = 2

Step-by-step explanation:

These are equations of lines with different slopes, so there is only one point of their intersect.

The point of intersect is where f(x) = g(x).

2(x - 1) - 5 = - 2x + 1

 +2x            +2x

2x - 2 - 5 + 2x = 1

       +7               +7

          4x = 8

        ÷4     ÷4

          x = 2

Answer 2

Answer: x = 2

Explanation:

From the way you were referring to the x-values as plural, I assumed there were multiple x-values and multiple points of intersection, but these are linear equations, so one x-value it is!

Simply f(x)=2(x-1)-5 into f(x)=2x-7. Just plug in 2x-7, in order to make it equal to -2x+1. That would make the equation 2x-7=-2x+1. Add 7 to both sides to make it 2x=-2x+8. Add 2x to both sides to make it 4x=8. Divide 4 to both sides and that results with x=2.


Related Questions

Last month Maria worked 150 hours. Her friend, Sara, suggested that this month Maria should work 15% more hours than she did last month so she can save for Christmas gifts. If Maria takes Sara’s advice, how many hours will Maria work this month?

Answers

Answer:

Step-by-step explanation:

So, ahem if I am even close to giving you an accurate answer then the logical part of me in my brain is still working. If she worked 150 hours and she were to take Sarah's advice to work 15% more. We first need to know what 15% of 150 is to find that we can do 10 percent of 150 which we put 150. and we move that decimal over one place to the opposite of the side right. What do we get well we get 15.0 and we let that be. Then since we still need to find the other 5% of 150 we can take the 15.0 and divide by 2. We can do 14÷2=7 we can add that to the 15.0, and get 22, now we put that aside then we can do the 1÷2=.5. We can then do 22+.5=22.5. then we have to do 150+22.5=172.5

since it is 15% more than 150. Sorry if this is not very understandable,

incorrect, and confusing I tried. I hope that I helped with something. I try to trick you a bit I hope that you catch on. :)

Anybody can help me with this one?

Answers

The point would be (9,1)

Answer:

look pic

Step-by-step explanation:

the -1/4 is the slope and 5 is where you start

-3/10h = 15, what is h?

Answers

Multiply both sides by 10h
-3/10h * 10h = 15 * 10h
-3 = 150h
h = -1/50

Answer:

-50

Step-by-step explanation:

A sequence starts 10, 20, ...
A) Find the next two terms if it is arithmetic. Show/explain your process!
B) Find the next two terms if it is geometric. Show/explain your process!

Answers

Answer:

B Find the next two terms If it is geometric

PLZ ANSWER WILL MARK BRAINLIEST​

Answers

Answer:

I think the answer is C Angle-Angle-Side im not sure if im accurate but i hope it helps

Step-by-step explanation:

Answer - side side side

PLEASEEEEE HELP ME IF YOU GET THIS QUESTION!!

Answers

Answer:

one and a quarter mile

please can i have brainliest

A car travels 30 1/5 miles in 2/3 of an hour. What is the average speed of the cat in mph?

Answers

Answer:

45.3 miles/h

let 'x' be the speed of the car. Hope this will helps:)

Step-by-step explanation:

It’s gonna be 45.3 mph your welcome

Show me the steps to solving this equation. 3x + 2 = 14

Answers

Answer:

4

Step-by-step explanation:

multiply 3 by 4 to get 12 and add 12 to 2 and you get 14

what is the slope of the line shown in graph
A. -2
B. -1
C. 1/-2
D. 1/2​

Answers

Answer:

-1/2

Step-by-step explanation:

using rise over run its 1/-2 which is just -1/2

Find the domain and range of the relation of 6,5, -13, 1, -4,2, -5, 23, -10, -5

Answers

Answer:

[tex]Range = \{5,1,2,23,-5\}[/tex]

[tex]Domain = \{6,-13,-4,-5,-10\}[/tex]

Step-by-step explanation:

Given

[tex](6,5)\ (-13, 1)\ (-4,2)\ (-5, 23)\ (-10, -5)[/tex]

Required

Determine the domain and range

A relation has the following format:

[tex]\{(x_1,y_1),(x_2,y_2),(x_3,y_3),(x_4,y_4)........(x_n,y_n)\}[/tex]

The range of the relation are:

[tex]\{y_1,y_2,y_3,y_4........y_n\}[/tex]

While the domain are:

[tex]\{x_1,x_2,x_3,x_4........x_n\}[/tex]

Using this analysis, the domain of the relation is:

[tex]Domain = \{6,-13,-4,-5,-10\}[/tex]

and the Range is

[tex]Range = \{5,1,2,23,-5\}[/tex]

A ratio of 3 erasers and 6 pencils could be expressed as 3:6. If the number of erasers is represented by white circles and the number of pencils is represented by black circles, which is a correct representation of the ratio?

Answers

Answer:

It'd be C.

There are 3 erasers shown and 6 pencils and to simplify the given ratio it would be 1:2

So the third representation would be the one that made the most sense.

Answer:

Option 3

Step-by-step explanation:

Ratios can be written as fractions, so 3:6=3/6. That can be simplified to 1/2, 1:2. That mesns for every eraser, there are two pencils. If white circles are erasers and black circles pencils, the correct answer will be the answer with one white circle and two black circle in each group. So the correct answer will be the third one.

What are the x and y intercept.

Answers

Answer:

x-intercept is 6 y-intercept is -3

Step-by-step explanation:

It's really simple to graph it especially if you have something that does it for you however when you graph it-it's pretty clear which ones it is so I suggest graphing it.

HELP HELP HELP PLEASSSEEEE!!!!!!! THIS IS MAKING MY MIND GO NUTS!

Answers

Answer:

2.5 hours

Step-by-step explanation:

They are 22.5 miles apart. Chase is going 6 mph and Jada is going 3 mph.

6 × 2 = 12

6 × 0.5 = 3

12 + 3 = 15 miles

3 × 2 = 6

3 × 0.5 = 1.5

6 + 1.5 = 7.5 miles

15 + 7.5 = 22.5 miles

It would take them 2.5 hours to reach each other.

Hope that helps.

The expression 2x + 3.4 is equal to ? for x =1.6.

Answers

Answer:

6.6

Step-by-step explanation:

Point-slope form of the line that passes through (-8,2) and is perpendicular to a line with a slope of -8

Answers

Answer:

y-2=1/8(x+5)

Step-by-step explanation:

1. Perpendicular lines have opposite slopes. To get the new slope, take the slope of the first line and turn it to make it the opposite reciprocal.

Since it's -8, the opposite of it is 1/8.

2. Now, use point slope: y-y1=m(x-x1). Plug in the values of the ordered pair and the slope into the equation.

y-2=1/8(x+8)

And that's your answer

A one story house is 2,200 square feet. 40% of the house has a basement. How many square feet is the basement?

Answers

Answer:

880 ft²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

2,200 ft²

40% (0.4) of the house is basement

Step 2: Evaluate

Set up:                    2200(0.4)Multiply:                  880

Here we see that 880 ft² out of the 2200 ft² would represent the allocated space for the basement.

Answer:

880 square feet

Step-by-step explanation:

Full story = 2200 square feet

Basement = 40% of the story

Basement is:

2200*0.4 = 880 square feet

Alonso paid for repairs on his car, and 3
5
of the bill was for labor costs. How much was the total bill if the cost of the labor was $79.50? Let b = the amount of the total bill.

Which equation and solution is correct?
Five-thirds b = 79.50, and the total bill was $47.70.
Three-fifths (79.50) = b, and the total bill was $127.20.
Five-thirds b = 79.50, and the total bill was $212.00.
Three-fifths (b) = 79.50, and the total bill was $132.50.

Answers

Answer:

The answer to you question is D or the last one.

Step-by-step explanation:

I took the test on Edg

The equation that represent this situation is (3/5) * b = 79.50

Equation

An equation is an expression that shows the relationship between two or more numbers and variables.

Let b represent the amount of the total bill. Given that 3.5 of the total bill was for labor cost.

For a labor of $79.50

(3/5) * b = 79.50

The equation that represent this situation is (3/5) * b = 79.50

Find out more on Equation at: https://brainly.com/question/13763238

Find the solution set of the inequality
- 4x + 35 > 2

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x < 33/4

Interval Notation:

(− ∞, 33/4)

3. If Ted is making monthly payments of $77 on a loan of $4,000 for 5 years;
approximately what percent interest is he paying?
$

Answers

answer: about 1.93%
hope this helps

The percent of interest is he paying is,

⇒ R = 4.62%

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

We have to given that;

Ted is making monthly payments of $77 on a loan of $4,000 for 5 years.

Hence, Yearly payments to pay is,

⇒ 12 × 77

⇒ $924

Hence, We get;

⇒ Interest = PRT/ 100

⇒ 924 = 4000 × R × 5 / 100

⇒ 92400 / 20,000 = R

⇒ R = 4.62%

Thus, The percent of interest is he paying is,

⇒ R = 4.62%

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

Which expression shows the prime factorization of 30?
2 x 3 x 5

3 x 5 x 7

3 x 5 x 5

2 x 2 x 3

Answers

A: 2 x 3 x 5
Hope I helped :)

Answer:

A

Step-by-step explanation:

because 2x3 equals 6

then 6x5 equals 30

( i did the math for the other ones and its a;)

A manager in a call center needs to determine how many agents to schedule next week.
Based on previous data, she expects to get 7,940 calls next week. The following conditions
apply:
• On average, call center agents can handle seven calls an hour.
• The call center is open for 10 hours, 5 days a week.
Full-time agents work 40 hours per week, but are only on calls for 35 hours a week.
Part-time agents work 20 hours a week, but are only on calls 17 hours per week.

Answers

Answer:

Number of calls expected in next week by manager = 7940

Average Number of calls that call center agent will attend in an hour =7 calls

It is also given that, Call center remain open for 10 hours 5 days a week.

Also, it is given that, full time agents work 40 hours a week but are only on call for 35 hours per week  ,Part time agents work 20 hours a week but are only on calls 17 hours per week .

⇒Number of hours worked by full time agents × Number of calls attended in an hour × Number of full time agents + Number of hours worked by Part time agents × Number of calls attended in an hour × Number of Part time agents ≤ 7940

⇒35 × 7×Number of full time agents +17 × 7 ×Number of Part time agents ≤ 7940

Option A

⇒35×15×7+17×7×15

= 3675+1785

= 5460

Option B

⇒35 ×7×20+17×7×7

=4900 +833

= 5733

Option C

⇒35×20×7 +17×20×7

=4900+2380

=7280

Option D

⇒25 × 35×7+17×7×5

=6125 +595

=6720

Option E

⇒28×35×7+17×7×10

=6860+1190

=8050

Option E, ⇒ 28 full time agents and 10 part time agents , is best to meet the scheduling needs is most appropriate, that is nearer to 7940 calls.

What does x = if x multiplied by 7/3 = 1

Answers

Answer:

Step-by-step explanation:

X×7/3 =1

X=3/7

If the height of a falling object after a certain amount of time is given by the equation ​, which of the following is​ true?
A.) t must be greater than or equal to 16.
B.) t must be greater than or equal to 0.
C.) h must be greater than or equal to 500.
D.) h must be less than or equal to 0.

Answers

Answer:

B

Step-by-step explanation:

Time can't go backwards

which list shows the numbers in order from least to greatest?
-2,-3-0-2-3
0,-3-2,2,3
-3-2,0,2,3
0,-2-3,2,3​

Answers

Choice 3

Step-by-step explanation:

-3 is the smallest and 3 is the biggest number

whats in improper fraction equal to 9 and 3/5

Answers

Answer:

48/5

Step-by-step explanation:

Answer: 48/5

9 multiplied by 5 is 45. Add three to get 48

I need help with this question pleaseeee

Answers

Answer: 639

Step-by-step explanation:

i might be wrong but that's how i was taught! :)

Jack borrowed $1.50 from his friend Jenna every day for five days last week. What rational number represents how much Jack owed his friend last week?

Answers

Answer:

$7.50

Step-by-step explanation:

set up an equation: $ x days = total owed

1.50 x 5 = 7.50

The solution to the system of equations shown is (2, 0).3x − 2y = 6x + 4y = 2When the first equation is multiplied by 2, the sum of the two equations is equivalent to 7x = 14.Which system of equations will also have a solution of (2, 0)?6x - 4y = 6x + 4y = 26x − 4y = 62x + 8y = 2x + 4y = 27x = 146x − 4y = 67x = 14

Answers

the answer is c i got it on edge 2020

Answer:

c

Step-by-step explanation:

A 30 foot ladder is placed against a vertical wall so that the base of the ladder is 10 feet from the base of the wall. How far up the wall does the ladder reach?

Answers

Answer:

the answer is approximately 28.28

Step-by-step explanation:

you use the pythagorean theorem to find the last length. I could explain it further, but you can take my word for it, its correct. I double checked.

6 − 3.98 what is the answerrrrr

Answers

Answer:

2.02

Step-by-step explanation:

also you can do these on just a calculator :D

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