All categories

3 years ago

Solve the system by substitution. y=x2 – 2x+1 y= 2x+1

Mathematics

1 answer:

mafiozo [28]3 years ago

6 0

Answer:

(0 , 1), (4, 9).

Step-by-step explanation:

y = x2 – 2x+1

y = 2x+1

Substitute y = 2x + 1 into the first equation.

2x + 1 = x^2 - 2x + 1

x^2 - 2x - 2x = 0

x^2 - 4x = 0

x(x - 4) = 0

x = 0, 4.

When x = 0, y = 1.

When x = 4, y = 8 + 1 = 9.

You might be interested in

Solve.

adoni [48]

6+(-2)+2•(-8)•42=6-2+(-16)•42=4+(-672)=4-672=-668

5 0

3 years ago

Find the slope, Y-intercept, and equation (make sure there is no decimals if there is a decimal make it into a fraction)!

adelina 88 [10]

Answer:

Slope is 5/3

y-intercept = -3

y = 5/3x - 3

Step-by-step explanation:

To find the slope, take to coordinates and use the equation below

$m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}$

7-2 = 5

6-3= 3

Now you have your slope which is 5/3

Then take the slope and input it into point slope form to get your y-intercept.

y-y₁=m(x-x₁)

y-2 = 5/3(x-3)

y-2=5/3x-5

add two to both sides to get Y by itself

y = 5/3x - 3

now you have your y-intercept, which is -3

Then check your answer by inputing two different coordinates for X and Y

7 = 5/3(6)-3

7=7

12= 5/3(9)-3

12=12

6 0

2 years ago

The mean salary of 5 employees is $33700. The median is $34600. The mode is $35600. If the median paid employee gets a $3500 rai

fgiga [73]

Step-by-step explanation:

Given:

Mean = 33700

Median = 34600

Mode = 35600

The mean is the average, the median is the middle number, and the mode is the most common number.

First, we need to find the new mean (average) if one of the employees gets a 3500 raise. The average is the total salary divided by number of employees:

(5 × 33700 + 3500) / 5 = 34400

The mode is the most common number in a set. Since there are only five employees, and the mode is different than the median, then the two highest earners must have the same salary. The salaries from smallest to largest is therefore:

?, ?, 34600, 35600, 35600

When the median gets the 3500 raise, the set becomes:

?, ?, 35600, 35600, 38100

So the new median is 35600.

The most common number is still 35600. So the mode hasn't changed: 35600.

4 0

3 years ago

Is this the correct answer?

Llana [10]

Answer: Choice A) An economic theory that is shared by the discipline of Psychology

Through the research I've found so far, the articles mention that economic choices have a psychological link. This is because economics is basically the study of human psychology (more or less) in terms of how to allocate resources and how best to use them. The law of diminishing marginal utility is basically the idea where the concept "more is always better" is simply not true. An example would be that you are at a restaurant and there's an endless buffet. The food isn't infinite and neither is the capacity of your stomach. After a certain point, you'll find that eating another burger isn't as satisfying as eating the first few burgers. You can think of it as a graph where the curve may start with a sharp increase, but eventually it levels off.

Side note: The term "affective habituation" may be used in psychology textbooks as something very similar to the law of diminishing marginal utility.

4 0

3 years ago

Solve the following equations for x : <br> g = c - x

ZanzabumX [31]

Answer:

$\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}$