solve the system of equations y=2x-3 and y=x^2-3

Answers

Answer 1

I have attached some answers in the photos below hope you find them useful

Solve The System Of Equations Y=2x-3 And Y=x^2-3
Solve The System Of Equations Y=2x-3 And Y=x^2-3
Solve The System Of Equations Y=2x-3 And Y=x^2-3
Answer 2

Answer:

0 and 1

Step-by-step explanation:

Given :

[tex]y= 2x-3\\y=2x^{2} -3[/tex]

Now equate the both equation :

[tex]2x-3=2x^{2} -3[/tex]

2x=2[tex]x^{2}[/tex]

x-[tex]x^{2}[/tex]=0

x(1-x)=0

x=0

1-x=0

x=1

Therefore, x=0,1


Related Questions

does anyone know how to solve this?

Answers

Answer:

[tex] { \boxed{ \tt{f(x) = 5 \cos3x \degree}}} \\ { \green{f(x) = f(60) : x = 60}}\\ f(60) = 5 \cos(3 \times 60) \degree \\ f(60) = 5 \cos(180 \degree) \\ but \: \cos(180 \degree) = - 1\\ { \boxed{ \bf{answer : f(60) = - 5}}} \\ \\ { \underline{ \blue{becker \: jnr}}}[/tex]

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures cell phones can be modeled by the polynomial 2x2 + 55x + 10. The cost, in dollars, of producing the cell phones can be modeled by 2x2 – 15x – 40. The variable x represents the number of cell phones sold.

What expression represents the profit, and what is the profit if 240 cell phones are sold?

40x – 30; $2,400
40x – 30; $9,570
70x + 50; $16, 850
70x + 50; $28,800

Answers

Answer:

C

Step-by-step explanation:

Given that the equation of the revenue is R=2x2+55x+10 and the equation of the cost is C=2x2 – 15x – 40, you will get the profit by subtracting the revenue from the cost: R-C=P. Therefore, P=(2x2+55x+10)-(2x2 – 15x – 40). You will get P=70x+50 where x is is the number of cellphones sold. If 240 cellphones are sold, then the profit is 16850 dollars.

The profit, if 240 cell phones are sold, is $16,850.

Profit = 70x + 50

Option C is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The profit, in dollars, can be found by subtracting the cost from the revenue:

Profit = Revenue - Cost

= (2x² + 55x + 10) - (2x² - 15x - 40)

= 70x + 50

The expression for profit is 70x + 50.

To find the profit if 240 cell phones are sold, we substitute x = 240 into the expression for profit:

Profit = 70x + 50

= 70(240) + 50

= 16,850

Therefore,

The profit, if 240 cell phones are sold, is $16,850.

Learn more about expressions here:

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Name the angle relationship between a and b

Answers

Answer:

∠a=∠b

Step-by-step explanation:

Alternate exterior angles are congruent

angle a is equal to angle b

contrast how to graph x=2 and y=-4

Answers

Answer:

First of all, the x axis goes left to right while the y axis goes up to down.

Step-by-step explanation:

On a coordinate plane, triangle A B C has points (negative 2, negative 1), (negative 2, negative 3), (negative 5, negative 1). Triangle ABC is translated 6 units to the right and 1 units up. What are the coordinates of C'? C'(4, –2) C'(4, –0) C'(4, 2) C'(1, 2)

Answers

Answer:

The answer is A

Step-by-step explanation:

C’(4, –2)

The coordinates of C' are (1, 0)

What is translation?

A translation moves a shape up, down or from side to side, but it does not change its appearance in any other way.

Given that, On a coordinate plane, triangle A B C has points (-2, -1), (-2, -3), (-5, -1).

When Triangle ABC is translated 6 units to the right and 1 units up.

We know that rule for translating b unit up and a unit right is

(x, y) → (x+a, y+b)

Hence, the coordinates for C' =

(-5, -1) = (-5+6, -1+1) = (1, 0)

Hence, the coordinates of C' are (1, 0)

For more references on translation, click;

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In MNO, The Measure of <0= 90°, NM = 17, MO= 15, and ON= 8. What ratio represents the tangent of

Answers

Answer:

Step-by-step explanation:

tanN = MO/ON = 15/8

N = about 61,9 it’s 62 degree

Answer: 15/8

Step-by-step explanation:

Determine the area of the blue triangle below. Round your answer to
the nearest tenth.

Answers

Answer:

68.9 in^2

Step-by-step explanation:

first lets find the height of the blue triangle

hypotenuse = 15 in

one side is 12 in whereas other has to be find.

take 50 degree as reference angle

using sin rule

sin 50 = opposite/hypotenuse

0.76 = opposite/15

0.766*15 = opposite

11.49 = opposite

area of triangle = base*height/2

=12*11.49/2

=136.88/2

=68.94

=68.9 in^2

Answer:

A = 68.9 in²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] ab sinC ( a, b are 2 sides and C the angle between them )

Here a = 12, b = 15 and C = 50° , then

A = [tex]\frac{1}{2}[/tex] × 12 × 15 × sin50°

   = 6 × 15 × sin50°

   = 90 × sin50° ≈ 68.9 in² ( to the nearest tenth )

Which is the solution to the inaquality y+15<3

Answers

Answer:

y < - 12

Step-by-step explanation:

Given

y + 15 < 3 ( subtract 15 from both sides )

y < - 12

What is the Order of Magnitude of the number of pennies equivalent to a quarter?​

Answers

Answer:

It is mainly used while doing scientific notation. If two numbers differ by one order of magnitude, one is about ten times larger than the other. If they differ by two orders of magnitude, they differ by a factor of about 100.A quarter is 0.25 dollars so the ratio between 1 dollar and a quarter is 1/0.25(it means the dollar and the quarter which is 0.25 dollars) and that equals =4

Identifying integers
Which of the following are true statements? Select all that apply

Answers

Answer:

what are the options...

Step-by-step explanation:

I Need Help Finding The Answer To m

Answers

Answer:

164.4

Step-by-step explanation:

m<ABC = m<ABK + m<KBC

17x + 8 = 42 + 12x - 4

17x - 12x = 42 - 4 + 8 add like terms

5x = 46 divide both sides by 5

x = 9.2 now replace x with 9.2 in 17x + 8

17*9.2 + 8 = 164.4

i need help lol
thanks and bye

Answers

Answer: I think a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

pls help
me with this plsssssssssssssssssssssssssssssssssss

Answers

Step-by-step explanation:

take the picture and attach with this file

Choose an equation of a line through the point (1,-1) parallel to y=−3x+4.

Answers

Answer:

y=-3x-1(4+1) I hoped this helped if not I am sorry I did the BPEMDAS

A scientist determines that an antibiotic reduces a population of 20,000 bacteria to 5,000 in 24 hours. Find
the rate of decline caused by the antibiotic.

Answers

Answer:

5.8%

Step-by-step explanation:

H= 1/r (in P - in A)

H=24

P=2000

A=5000

24= 1/r (in2000 - in5000)

24r = in 2000 - in 5000

r = in 2000 - in 5000

_________________

24 r

= 05 .7762265

= 5.8 %

A train covers a dictance of 820KM in 8 hours. How much distance will ir cover in 1 hour?​

Answers

Answer:

102.5 km

Step-by-step explanation:

820km/8 hours=102.5 km

Solve for x and state the measure of the angles with an x in them

Answers

Answer:

x = 83

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360

75+x+97+105 = 360

Combine like terms

x+277=360

Subtract 277 from each side

x+277-277=360-277

x = 83

GUYS PLEASE HELP ME, PLEASE SHOW WORK AND I WILL MARK BRAINLEST!

Answers

Answer: I believe the answer is (2) 49

Explanation: The given ratio is 5:245
When simplified(245/5), it gives you 1:49!

You are told to make a new image with a scale factor of 1 or 100%. How would the new image look
compared to the original?

Answers

Answer:

the size would remain the same

Step-by-step explanation:

100% of something means nothing has decreased or increased, no changes to original

lf R(x) = x2 – 3x – 1, find R(-2).

a.9
b.-9
c.-3
d.-11

Answers

Answer:

A.

Step-by-step explanation:

If R(-2), then x = -2. Just plug in -2 for x. -2^2 - 3(-2) - 1 = 4 + 6 - 1 = 10 - 1 = 9. The answer is 9.

Solve these


[tex] {x}^{2} - 5x + 6[/tex]
[tex] {x}^{2} - 11x + 28[/tex]

Answers

Answer:

hope this will help you more

Answer:

[tex]x^2-5x+6[/tex]

x = 3, x = 2

[tex]x^2-11x+28[/tex]

x = 7, x = 4

Step-by-step explanation:

One is asked to solve two quadratic equations. Both of these quadratic equations are in standard form. This means that the two equations follow the following general format;

[tex]ax^2+bx+c[/tex]

The quadratic formula is a method of solving a quadratic equation using the coefficients of the terms in the equation. The quadratic equation is the following,

[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]

Substitute in each of the terms and solve for the roots in each equation;

[tex]x^2-5x+6[/tex]

Substitute, and solve

[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(6)}}{2(1)}\\\\=\frac{5(+-)\sqrt{25-25}}{2}[/tex]

[tex]=\frac{5+1}{2}[/tex]          [tex]=\frac{5-1}{2}[/tex]

[tex]=3[/tex]               [tex]=2[/tex]

[tex]x^2-11x+28[/tex]

Substitute, and solve

[tex]\frac{-(-11)(+-)\sqrt{(-11)^2-4(1)(28)}}{2(1)}\\=\frac{11(+-)\sqrt{121-112}}{2}[/tex]

[tex]=\frac{11+\sqrt{9}}{2}[/tex]           [tex]=\frac{11-\sqrt{9}}{2}[/tex]

[tex]=\frac{11+3}{2}[/tex]              [tex]=\frac{11-3}{2}[/tex]

[tex]=7[/tex]                     [tex]=4[/tex]

which type of conic section is represented by the equation y = (x-10)^2 - 5?

Answers

Answer:

That's a parabola

explanation:

HELP ASAP PLEASE!! :]

Answers

Answer:

36 sq units

Step-by-step explanation:

the area of shaded part =

(½×12×12) - (6×6)

= 72-36

= 36 sq units

Please can someone solve some questions on similar triangles ASAP. ​

Answers

Answer:

post the question i can do it

Step-by-step explanation:

HELP WOULD BE MUCH APPRECIATED

Answers

Answer:

the trapezoid will go on the side where it states "will have no pair of parallel sides"

Answer:

A trapezoid has at least one pair of parallel sides.

Step-by-step explanation:

At a local restaurant, the amount of time that customers have to wait for their food is
normally distributed with a mean of 34 minutes and a standard deviation of 2
minutes. If you visit that restaurant 26 times this year, what is the expected number
of times that you would expect to wait longer than 38 minutes, to the nearest whole
number?

Answers

Hold on, I’m confused.

The function y = log (x) is translated 1 unit right and 2 units down. Which is the graph of the translated function?

Answers

Answer:

whichever one looks like the screenshot i have of the graph-

Answer:

Graph B

Step-by-step explanation:

Took the test and got it right on EDGE22

Simplify -|-7 + 4|. please helppppp

Answers

Answer: -3

Step-by-step explanation:

-l-7+4l = -l-3l = - 3

ll means anything inside there is positive, so for example if -3 was in there, l-3l = 3

Answer:

- 3

Step-by-step explanation:

-|-7 + 4|

Simplify inside the absolute values first( like parentheses)

-|-3|

Take the nonnegative value for the absolute value

- 3

Eli will photograph a wedding for a flat fee of ​$1560 or for an hourly rate of ​$180. For what lengths of time would the hourly rate be less​ expensive?
The hourly rate would be less expensive if the wedding was less than
? hours long.
​(Simplify your​ answer.)

Answers

Answer:

The hourly rate is better between 1 and 8 hours.

Step-by-step explanation:

There are two options

A fixed amount of $1560.

Or an hourly rate of $180 the hour.

So for the first option, the cost equation as a function of time, t, is:

f(t) = $1560

(it does not depend on t)

While for the second option, the equation would be:

g(t) = $180*t

First, we want to answer:

We can expect that for smaller values of t the second option is better but let's see that:

or what lengths of time would the hourly rate be less​ expensive?

Then we need to solve:

f(t) = g(t)

for t, this is:

$1560 = $180*t

$1560/$180 = t = 8.66

So, for t = 8.66, the cost is the same in both options.

For t < 8.66

(between 1 and 8 hours) the second option is better. (here the hourly rate is better)

for t > 8.66

(9 hours or more) is better the first option, as the hourly (here the flat fee is better)

Think of 5 positive integers that have a mode of 4, a median of 6, a mean of 7 and a range of 10.

Answers

Answer:

6 6 6 6 11

Step-by-step explanation:

The median is the middle number

the mode is the number of items, usually the number that are the same.

the mean is the average

the range is the number between the smallest and the largest.

So the information you have makes 4 of the 5 numbers the same.

The middle number is 6. This is an interesting fact because it means that 4 of the five numbers are 6

x 6 6 6 6  or  6 6 6 6 x  is what you know so far.

The range is a bit of a devil. And so is the mean. We need the mean to be related to  5*7 = 35. So the sum of the five numbers equals 35. The range would have to be 5, I think. (35 - 4*6) = 11

The difference between 11 and 6 = 5

So 11 works for everything but the range.

If the range must be ten, then x = 16 but then the mean = 8 and 7  is incorrect

So I can get 3 out of 4, but not them all.

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