answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fgiga [73]
2 years ago
12

Which represents the solution(s) of the system of equations, y = x2 – x + 1 and y = x? Determine the solution set by graphing.

Mathematics
1 answer:
Reil [10]2 years ago
7 0

Answer:

(1 , 1)

Step-by-step explanation:

Given in the question two equations

Equation 1

y = x² – x + 1

Equation 2

y = x

Equate both equations

x² – x + 1 = x

0 = x² – x + 1 - x

x² – 2x + 1 = 0

x² - x - x + 1 = 0

x(x - 1) -1(x - 1) = 0

(x - 1)(x - 1) = 0

(x-1)² = 0

x - 1 = 0

x = 1

Plug x = 1 in first equation

y = 1² – 1 + 1

y = 1

You might be interested in
A certain small factory employs 98 workers of these 10 recieve a wage of 150 dollars per day and the rest recieve 85.50 dollars
cricket20 [7]
10 × $150 = $1500
88 × $85.50 = $7524
1500 + 7524 = $9024 a day.
9024 × 6 = $54,144 (the answer)
Hope this helps!
4 0
2 years ago
Read 2 more answers
Harold measures the heights in inches of the new plants that are growing in his greenhouse. He records the lengths shown below a
viva [34]

Answer:

The least value plotted on the line plot is 18.0

The greatest value plotted on the line plot is 22.0

The height of inches occurs the most often is 19.5 with 3 times

Step-by-step explanation:

A line plot is a graph that shows frequency (the number of times the data value occur) of data along a number line.

The line plot has dots plotted on it over each value of the number line.

8 0
2 years ago
When dividing with polynomials, the goal is to determine how many times the dividend divides evenly into the?
kkurt [141]
Whether dividing constant terms or polynomials, we always have definitive terms when it comes to division. Suppose we say, 10x divided by 2. The dividend is the 10x and the divisor is the 2. In other words, the dividend is the number to be divided by the divisor, to obtain the answer called the quotient.

When dividing polynomials, your main goal is to be able to divide the dividend evenly into the <em>divisor</em>. For example, we divide x²+2x+1 by x+1. The first thing you're going to focus is, what term will completely divide the first term of the polynomial? That would be x. Why? Because when you multiply x with x+1, the product is x²+x. When you subtract this from the polynomial, the x² will cancel out. All you have to do is subtract x from 2x, yielding x. Then, you carry down the last term of the equation: +1. You do the steps again. The term that will completely divide x+1 by x+1 is 1. When you subtract the two, you will come up with zero. That means there is no remainder. The polynomial is divisible by the divisor. 
                          x + 1
                        ------------------------------------
                  x+1| x²+2x+1
                        - x²+x
                         ----------------------
                                 x +1
                               - x + 
                             ------------
                                    0
5 0
2 years ago
A factor for (f/g, i, n) could be obtained by multiplying the (p/g, i, n) factor by the _______________ factor.
Ede4ka [16]
Nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
4 0
2 years ago
Read 2 more answers
Which two equations can you use to find the adult and child admission fees for a puppet show? Let a represent the fee for adults
vlabodo [156]

45a + 30c = 315 \\ 50a + 40c = 370
The answers are C and E

Hope this helps. - M
3 0
2 years ago
Read 2 more answers
Other questions:
  • A plane that carries mail makes a round trip each day from Chicago to New York. It makes 2 intermediate stops on the way to New
    15·2 answers
  • maria was preparing the oven to bake brownies. the recipe's direction was to pre-heat the oven to 350 F but her oven thermometer
    7·1 answer
  • A lottery sells 1000 tickets at $1 apiece. There is one winner who receives $100, and 5 second place winners who receive $50 eac
    8·1 answer
  • If it takes 2 nurses 2 minutes to measure the blood pressure of 2 patients, how long would it take 200 nurses to measure the blo
    11·1 answer
  • You have volunteered to be tested for psychic powers. There are 8 cards, 2 of which have a square on them, 2 of which have a tri
    5·1 answer
  • The sample data below shows the number of hours spent by five students over the weekend to prepare for Monday's Business Statist
    15·1 answer
  • A certain college classifies students according to credits earned. A studentwith less than 7 credits is a Freshman. At least 7 c
    13·1 answer
  • Kate had 70 brooms; Alisa had 20 more brooms than Kate. What was the ratio of Kate’s brooms to Alisa’s brooms?
    9·1 answer
  • At Moby’s Movies grand opening, every 8th customer will receive a free drink and every 10th customer will receive a free movie r
    10·1 answer
  • In ΔIJK, i = 340 cm, ∠I=120° and ∠J=59°. Find the area of ΔIJK, to the nearest 10th of a square centimeter.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!