Which represents the solution(s) of the graphed system of equations, y = x2 + x – 2 and y = 2x – 2? (–2, 0) and (0, 1) (0, –2) and (1, 0) (–2, 0) and (1, 0) (0, –2) and (0, 1) Mark this and return

Answers

Answer 1

ANSWER

[tex](0,-2), (1,0)[/tex]

EXPLANATION

The first equation is

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

The second equation is

[tex]y = 2x - 2[/tex]

We equate both equations to get,

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

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

Simplify

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

Factor

[tex]x(x - 1) = 0[/tex]

Either

[tex]x = 0[/tex]

Or

[tex]x - 1 = 0[/tex]

[tex]x = 1[/tex]

Put x=0 or x=1 into the second equation to get,

[tex]y = 2(0) - 2 = - 2[/tex]

Or

[tex]y = 2(1) - 2 = 0[/tex]

Therefore the solutions are;

[tex](0,-2), (1,0)[/tex]

Answer 2

Answer:

(0, -2) (1, 0)

Step-by-step explanation:

I got it right on the test... Have a great day :)


Related Questions

How far did Eddie travel after his break? (The break is the part with only the straight line!)

Answers

The break ended at 4pm when he was at 15 km.

The ride ended at 6pm when he was at 45 km.

From 4 to 6pm he rode 45 - 15 = 30 km.

Answer: it would be 30 kilometer

Step-by-step explanation:

45-15=30

can someone please please help me!!!!!

Answers

Answer:

Diameter = 10

Step-by-step explanation:

If the side of a triangle inscribed in a circle is a diameter, then it is a right triangle.

Use the Pythagorean theorem:

d - diameter

[tex]d^2=8^2+6^2\\\\d^2=64+36\\\\d^2=100\to d=\sqrt{100}\\\\d=10[/tex]

The third term in a sequence is 11.
The term-to-term rule is “take away 4”.
Write an expression, in terms of n, for the nth term of the sequence

Answers

The nth term of the sequence can be expressed as:

[tex]T_n = -4n + 23[/tex]

Given that:The term to term rule is "take away 4"The third term of a sequence = 11

Calculations of first term and of nth term:

Since term to term rule is to take away 4, thus when we go back in sequence, the rule will be to add 4 term to term.

Thus:

Second term = 4 + third term = 4 + 11 = 15

First term = 4 + second term = 15 + 4 = 19

Since the given sequence has a constant difference of -4 between each adjacent terms, thus it is an arithmetic progression with d = -4

The nth term of an arithmetic progression with difference d is given by:

[tex]T_n = T_1 + (n-1) \times d[/tex]

Since d = -4 and first term is 19, thus we have:

[tex]T_n = 19 + (n-1) \times (-4) = -4n + 23\\T_n = -4n + 23[/tex]

Thus, the nth term of the sequence can be expressed as:

[tex]T_n = -4n + 23[/tex]

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Final answer:

The expression for the nth term of the given sequence is 23 - 4n. Starting from the third term which is 11, we find the first term and use the common difference to write the formula.

Explanation:

The student is dealing with a linear sequence and is asked to write an expression for the nth term of the sequence based on the term-to-term rule 'take away 4'. To find the nth term of this arithmetic sequence, we need to use the structure of arithmetic sequences, which follow the pattern a_n = a_1 + (n - 1)d, where a_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference between terms. Because we know that the third term is 11, we can backtrack to find the first term by adding 4 twice (since we have been taking 4 away to move forward in the sequence). Therefore, the first term a_1 is 11 + 4 + 4 = 19. Given the common difference is -4 (since we are taking away 4 each time), our nth term expression is a_n = 19 + (n - 1)(-4) or simplified a_n = 23 - 4n.

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Find the area and circumference of each circle.

Listed in the Item Bank are some important labels for sections of the image below. To find out more information about labels, some have more details available when you click on them. Drag and drop each label to the corresponding area it identifies in the image.

I don't understand this question can someone please tell me the answer? I attached the picture. I will be giving 50 points for this question. Thank you!

Answers

Area = πr^2

Circumference = 2πr

Blue:

Area = 5^2 = 25π

Circumference = 2 * 5 * π = 10π

Pink:

Area = 6^2 = 36π

Circumference = 2 *6*π = 12π

White:

r = 3

Area = 3^2 = 9π

Circumference = 2 *3 = 6π

Red:

Area = 7^2 = 49π

Circumference = 2 *7 = 14π

Blue: Area - 25

Circumference - 10

Pink: Area - 36

Circumference - 12

White: Area - 9

Circumference - 6

Red: Area - 49

Circumference - 14

Hope it helped

Which transformation of Figure A results in Figure A'?




a reflection across the y-axis

a reflection across the x-axis

a clockwise rotation of 270° about the origin

a translation of 4 units right

Answers

Answer:

A

Step-by-step explanation:

Since we can see that the figure is congruent but just flipped over x = 0, we are just reflecting it across the y=axis.

Answer:

A

Reflection across the y-axis.

give the numerical coefficient of the term -x

Answers

the coefficient is the number before x

in this case the coefficient is -1.

On a map the scale is 1 inch :150 miles. If the map distance is 3 inches, find the actual distance

Answers

Answer: 450 miles

Step-by-step explanation:

3 inches / 1 inch = 3 times 150 miles = 450 miles

What is the quotient?

Answers

Answer:

1/5^9

Step-by-step explanation:

X^n / X^m = (X)^n-m

5^(-6-3)

5^-9

1/5^9

Best regards

For this case we have that by definition of power properties:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

Then, we have the following expression:

[tex]\frac {5 ^ {- 6}} {5 ^ 3}[/tex]

It can be rewritten as:

[tex]\frac {1} {5 ^ 6 * 5 ^ 3}[/tex]

By definition of power properties we have:

[tex]a ^ m * a ^ n = a ^ {m + n}[/tex]

So:

[tex]\frac {1} {5 ^ 6 * 5 ^ 3} = \frac {1} {5 ^ 9}[/tex]

Answer:

Option A

PERFORM MULITIPLICATION FFAAAASSSSTTTTT!
(b–2)(b+2)(b^2+4)

Answers

Answer: =b^4 -16

Step-by-step explanation:

* Hopefully the work below helps:)!!! Mark me the brainliest:)!!!

∞ 234483279c20∞

Tasha used the pattern in the table to find the value of

Answers

Answer:

Tasha made a mistake in Step 4

Step-by-step explanation:

She made a mistake in step 4

When rewriting the value for  4^(-4)

She needed to write

(1/256) =   4^(-4)

Instead, she wrote

(1/256) =   -1/4^(-4)

-1/4^(-4) = -256 ≠ (1/256)

Is 16 gallons equal, less, or more than 64 quarts?

Answers

Answer:

less 13 gallons equals 52 quarts

Step-by-step explanation:

Equal to. There are 4 quarts in 1 gallon. So 16x4=64

WILL MARK BRAINLIEST!! THANKS!!! 10PT!!

Answers

Answer:

line d

Step-by-step explanation:

Convert the equation to the slope-intercept form (y = mx + b):

[tex]2x+5y=-10[/tex]        subtract 2x from both sides

[tex]5y=-2x-10[/tex]       divide both sides by 5

[tex]y=\-\dfrac{2}{5}x-2[/tex]

Put x = 0 to the equation of a line:

[tex]y=-\dfrac{2}{5}(0)-2=-0-2=-2\to(0,\ -2)[/tex]

The lines c and d passes through that's point.

Put x = 5 to the equation of a line:

[tex]y=-\dfrac{2}{5}(5)-2=-2-2=-4\to(5,\ -4)[/tex]

The line d passes through that point.

Use factoring to solve for all the solutions of the quadratic equation. x^2 + 25=0
x=5i
x=-5i
x=+/-5
x=+/-5i

Answers

Answer:

[tex]\large\boxed{x=\pm5i}[/tex]

Step-by-step explanation:

[tex]i=\sqrt{-1}\to i^2=-1\\==========================\\\\x^2+25=0\qquad\text{subtract 25 from both sides}\\\\x^2=-25\to x=\pm\sqrt{-25}\\\\x=\pm\sqrt{(-1)(25)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x=\pm\sqrt{-1}\cdot\sqrt{25}\\\\x=\pm i\cdot5\\\\x=\pm5i[/tex]

Answer: Answer is D

Find the equation of the line with m = 2 and passes through the point ( 4 , − 5 ) . Write your answer in standard form A x + B y = C .

Answers

Answer:

2x - y = 13

Step-by-step explanation:

To write the equation of a line use the formula [tex]y - y_1 = m(x-x_1)[/tex].

Substitute m = 2 and (4,-5).

[tex]y --5 = 2(x-4)\\y + 5 = 2(x - 4)\\y + 5 = 2x - 8\\y = 2x -13\\-2x + y = -13\\2x - y = 13[/tex]

what is in (e^A)? A, A+1, ln A + ln e, 1 + ln A

Answers

Answer:

[tex]\large\boxed{\ln e^A=A}[/tex]

Step-by-step explanation:

[tex]Use\\\\\log_ab^n=n\log_ab\\\\\log_aa=1\\\\\ln a=\log_e a\to\ln e=1\\====================================\\\\\ln e^A=A\ln e=A(1)=A[/tex][/tex]

The vertices of a rectangle are given in the columns of the matrix (picture 1).

If (picture 2) is found to perform a transformation, what are the coordinates of the transformed rectangle?

(0, 0), (0, 18), (18, 18), (18, 0)
(0, 0), (18, 0), (18, –18), (0, –18)
(0, 0), (–18, 0), (–18, –18), (0, –18)
(0, 0), (18, 0), (18, 18), (0, 18)

Answers

Answer:

(0 , 0) , (18 , 0) , (18 , -18) , (0 , -18) ⇒ the second answer

Step-by-step explanation:

∵ The vertices of the rectangles are:

  (0 , 0) , (0 , 6) , (6 , 6) , (6 , 0)

∵ 3 × [tex]\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right][/tex] × R

∴ That is mean The rectangle rotate 270° around the origin

  (270° anti-clockwise or 90° clockwise)

  and enlargement by scale factor 3

Answer:

(0 , 0) , (18 , 0) , (18 , -18) , (0 , -18) ⇒ the second answer

Step-by-step explanation:

Mathhhh

One fifth of a number is subtracted from four fifth of the same number. If the result is 9, what is the number. ​

Answers

Let x be the unknown number. One fifth of this number is x/5, one fourth of this number is x/4. So, we have

[tex]\dfrac{x}{4}-\dfrac{x}{5} = \dfrac{5x-4x}{20} = \dfrac{x}{20}[/tex]

We know that this difference equals 9, so we have

[tex]\dfrac{x}{20}=9[/tex]

Multiply both sides by 20 to get

[tex]x=180[/tex]

Rewrite the formula for area of a circle to find the radius of a circle.
The area of a circle (A) is given by the formula where r is the circle's radius. The formula to find r is . If and , r is centimeters.

Answers

Final answer:

The formula to find the radius of a circle, given the area, is r = √(A/π). This comes from rearranging the formula for the area of a circle, A = πr², to solve for r.

Explanation:

The area of a circle (A) is traditionally calculated with the formula A = πr², where A represents the circle's area, and r represents the circle's radius. If we want to rewrite this formula to solve for the circle's radius (r), we would divide both sides of the equation by π and then take the square root. This gives us the formula r = √(A/π). So, if we know the area of the circle and want to find out its radius, we can use this formula.

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The formula to find the radius  r  is: [tex]\[ r = \sqrt{\frac{A}{\pi}} \][/tex]

The area of a circle (A) is given by the formula [tex]A = \pi r^2[/tex], where r is the circle's radius. To find the radius r from the area A, you can rewrite the formula as follows:

Start with the area formula:

[tex]\[ A = \pi r^2 \][/tex]

To solve for r, divide both sides by [tex]\pi[/tex]:

[tex]\[ \frac{A}{\pi} = r^2 \][/tex]

Finally, take the square root of both sides:

[tex]\[ r = \sqrt{\frac{A}{\pi}} \][/tex]

In a fish tank, the number of orange fish is 1 1/4 times the number of blue fish. Drag blue fish to represent the number of blue fish in the tank for every 5 orange fish

Answers

Final answer:

For every 5 orange fish in the fish tank, there are 4 blue fish since the number of orange fish is 1 1/4 times the number of blue fish.

Explanation:

In the fish tank scenario where the number of orange fish is 1 1/4 times the number of blue fish, for every 5 orange fish, we need to determine the corresponding number of blue fish. To find this, we can set up a ratio where the number of blue fish (let's call it B) multiplied by 1 1/4 must equal 5 (since 1 1/4 times B is the number of orange fish). So, B * 1 1/4 = 5. This equation can be simplified to B * 5/4 = 5, and by further simplification, we find B = 5 / (5/4) which is equal to B = 4. Therefore, for every 5 orange fish, there would be 4 blue fish in the tank. Hence, if you drag blue fish to represent the number of blue fish, there should be 4 of them for every 5 orange fish.

The number of fish in a lake decreased by 25% between last year and this year last year there were 60 fish in the lake what is the population this year? If you get stuck consider drawing a diagram

Answers

Answer:

45

Step-by-step explanation:

Decreasing by 25% means that there is 25% less of last years amount or 0.25x less. It also means that this year there is only 75% of what was last year actually in the lake or 0.75x. Since last year, there were 60 fish, this means this year there is 0.75(60) = 45. This year has 45 fish.

Answer:

45

Step-by-step explanation:

On a line graph, time is usually represented by which of the following?

vertical axis
y-intercept
slope
horizontal axis

Answers

Answer:

Horizontal axis

Step-by-step explanation:

we know that

In a line graph, vertical axis usually represented the dependent variable and   horizontal axis usually represented the independent variable. The time is usually represented in the horizontal axis because is a independent variable

Answer:

Horazontal Axis

Which is smaller: an angle showing a turn through 1/8 of a circle or an angle showing a turn through 1/3 of a circle? Explain your answer.

Answers

Answer:

An angle showing a turn through 1/8 of a circle is smaller

Step-by-step explanation:

we know that

A complete circle represent 360°

so

An angle showing a turn through 1/8 of a circle is

[tex](360\°)*(\frac{1}{8})=45\°[/tex]

An angle showing a turn through 1/3 of a circle is

[tex](360\°)*(\frac{1}{3})=120\°[/tex]

therefore

An angle showing a turn through 1/8 of a circle is smaller

Answer:

1/8 is smaller because it equals 45 degrees

1/3 is bigger because it equals 120 degees

find the length of AB. leave your answer in terms of pi. Please please help!!!!

Answers

Answer:

3 pi

Step-by-step explanation:

The length of the arc AB is equal to the circumference times the fraction of the circle

AB = 2*pi*r * (degrees/360)

AB = 2 * pi* (27) * (20/360)

    = 54 * pi * (1/18)

    = 3 pi

We are asked to leave the answer in terms of pi

Actually, the answer should be 1/9 π. To convert from degrees to radians, you use the conversion π/180°. This is what you do: 20°/1 times π/180°. This let's you cancel out the degrees so you are left in terms of pi. That gets you 20π/180 which simplifies to 1/9 π or 0.11π if you need it as a rounded decimal.

y = |x| translated half a unit downward Answer:

Answers

Answer:

y=|x|-0.5

Step-by-step explanation:

downward is represented outside of the abolsute value.

Answer:

|x|-0.5

Step-by-step explanation:

its correct

Please can someone help me? also please explain it step by step:) ty

Answers

Answer:

The answer is D

Step-by-step explanation:

We know that a triangle adds up to 180 degrees.

Solve for x:

Combine like terms.

2x + 3x - 10 + 50 = 180

Subtract 40 on both sides.

5x + 40 = 180

      -40    -40

Divide both sides by 5.

5x = 140

----    ----

5        5

And you get a solution of:

x = 28

Check:

Substitute 28 into x and multiply 28 by the number outside of the parentheses.

2(28) + 3(28) - 10 + 50 = 180

Add/Subtract from left to right.

56 + 84 - 10 + 50 = 180

Add them together.

140 + 40 = 180

And you get 180!

180 = 180

A red die is tossed and then a green die is tossed. what is the probability that the red die shows a six or the green die shows a six

Answers

Answer:

1/12 or 1/6

Step-by-step explanation:

I need a multiple choice to help but if you get 2 attempts it one of these answers.

1/6 or 1/12

Step-by-step explanation: i cannot help you i need a visual representation

7x=3y+45
4x+5y=19 what’s the answer and show work

Answers

Answer:

x = 6, y = -1.

Step-by-step explanation:

7x = 3y + 45

4x + 5y = 19.... (1)  

Rearranging the first equation:

7x - 3y = 45-----(2)

Multiply equation (1) by  3 and equation (2) by 5:

12x + 15y = 57

35x - 15y =  225

Adding :

47x  + 0 = 282

x = 282 / 47 = 6.

To find the value of y  substitute x = 6 into equation (2):

7(6) -3y = 45

-3y = 45 - 42 = 3

y = 3/-3 = -1.

Answer:

x = 6 and y = -1

Step-by-step explanation:

It is given two equations,

7x = 3y + 45

⇒ 7x - 3y = 45    -------(1)

4x + 5y=19

⇒  4x + 5y = 19    --------(2)

To solve these equations

eq (1) * 4  ⇒   28x - 12y =180  ----(3)

eq (2) * 7 ⇒    28x + 35y = 133   ----(4)

eq(3) - eq(4) ⇒   0x - 47y = 47

y = -47/47 = -1

eq(1) ⇒ = 7x - 3*-1 = 45

7x + 3 = 45

7x = 45 - 3 = 42

x = 42/7 = 6

Therefore x = 6 and y = -1

Suppose segment PQ has one endpoint at P (0,0). If T (6,3) is a point 3/10 of the way from P to Q, find the coordinates of Q.

Answers

Answer:

Q(20,10)

Step-by-step explanation:

If point T (6,3) is a point 3/10 of the way from P(0,0) to Q(x,y), then

[tex]\overrightarrow {PT}=\dfrac{3}{10}\overrightarrow {PQ}.[/tex]

Find the coordinates of the vectors [tex]\overrightarrow {PT},\ \overrightarrow {PQ}:[/tex]

[tex]\overrightarrow {PT}=(6-0,3-0)=(6,3);\\ \\\overrightarrow {PQ}=(x-0,y-0)=(x,y).[/tex]

Thus,

[tex](6,3)=\dfrac{3}{10}(x,y),\\ \\(x,y)=\dfrac{10}{3}(6,3)=(20,10).[/tex]

Identify the vertex of the graph. Tell whether it is whether it is a minimum or maximum.
A. (2,-4); maximum
B. (-4,3); maximum
C. (2,-4); minimum
D. (-4,2); minimum

Answers

Answer:

(2,-4)

Step-by-step explanation:

it is a minimum because as you can see the lowest is at the point of (2,-4)

Answer:

(2,-4)

Step-by-step explanation:

need geometry help ASAP please!

Answers

Answer:

1. 121 π  unit²

2. 143°

3. 151 unit²

Step-by-step explanation:

1.

Area of a circle is given by the formula  A = πr²

where

A is the area,

r is the radius of the circle

From the given diagram, we can see that the radius is 11, hence the area will be:

[tex]A=\pi r^2\\A=\pi (11)^2\\A=121\pi[/tex]

The answer is  [tex]121\pi[/tex] units^2

2.

The unshaded secctor and the shaded sector equals the circle. We know that circle is 360°. The unshaded sector has an angle of 217°. So the shaded part will be 360 - 217 = 143°

The measure of the central angle of the shaded sector is 143°

3.

Area of a sector is given by the formula  [tex]A=\frac{\theta}{360}*\pi r^2[/tex]

Where

[tex]\theta[/tex] is the central angle of the sector (in our case it is 143°)

r is the radius (which is 11)

Plugging in all the info into the formula we have:

[tex]A=\frac{\theta}{360}*\pi r^2\\A=\frac{143}{360}*\pi (11)^2\\A=150.99[/tex]

rounding to the nearest whole number, it is 151 units^2

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