please help me with this

Please Help Me With This

Answers

Answer 1

Answer:

Option c

Step-by-step explanation:

A system of equations are given to us. And we need to solve them . The given system is

[tex]\begin{cases} y = 2x - 3\dots 1 \\ y = x^2 - 3\dots 2 \end{cases}[/tex]

We numbered the equations here . Now put the value of equation 1 in equation 2 that is substituting y = 2x - 3 in eq. 2 .

[tex]\implies y = x^2 - 3 \\\\\implies 2x - 3 = x^2 - 3 \\\\\implies x^2 - 2x = 0 \\\\\implies x(x-2) = 0 \\\\\implies\red{ x = 0 , 2 } [/tex]

We got two values of x as 0 & 2 . Alternatively substituting these values we have ,

[tex]\implies y = 2 x - 3 \\\\\implies y = 2(0)-3 \qquad or \qquad y = 2(2)-3 \\\\\implies y = 0-3 \qquad or \qquad 4 - 3 \\\\\implies \red{ y = -3 , 1 } [/tex]

Thefore the required answer is ,

[tex]\red{Option\:c} \begin{cases} (0,-3) \\ (2,1) \end{cases}[/tex]

Answer 2

Answer:

C

Step-by-step explanation:

Given the 2 equations

y = 2x - 3 → (1)

y = x² - 3 → (2)

Substitute y = x² - 3 into (1)

x² - 3 = 2x - 3 ( subtract 2x - 3 from both sides )

x² - 2x = 0 ← factor out x from each term

x(x - 2) = 0

Equate each factor to zero and solve for x

x = 0

x - 2 = 0 ⇒ x = 2

Substitute these values into (1) for corresponding values of y

x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )

x = 2 : y = 2(2) - 3 = 4 - 3 = 1 ⇒ (2, 1 )


Related Questions

Please I need someone to help me with this math problem!!

Answers

= 2x² + 7/x

Step-by-step explanation:

2x³ + 7/x

= 2 • x • x • x + 7/x

= 2 • x • x • x/x + 7/x

= 2 • x • x + 7/x

= 2x² + 7/x

-TheUnknownScientist

Answer:

2x^2 + 7/x................

WILL GIVE BRAINLIEST

Describe the end behavior of the following function:
F(x) = 2x² + x²
A. The graph of the function starts high and ends low.
B. The graph of the function starts low and ends high.
O C. The graph of the function starts high and ends high.
O D. The graph of the function starts low and ends low.

Answers

Answer:

C

Step-by-step explanation:

Solve the following polynomial equation. Identify all solutions.

x^(3)+54x^(2)+53x=0

Brainlest + Thanks :)
help asap

Answers

x(x+1)(x+53)
With factoring!

Hope this helps!

Find the distance between (-1,4) and (-1,12)

Answers

Answer:

8 units

Step-by-step explanation:

Since both are on the same place in terms of the x-axis, this makes it much easier. Just go from (-1,4) and move upwards upon the graph until your at (-1,12). You counted 8 units. *mic drop*

Answer:

Step-by-step explanation:

8 because [tex]\sqrt{(-1+1)^{2}+{(12-4)^{2}}[/tex] = sqrt(8^2), which equal 8

math question pls help

Answers

it’s either yellow or red i think, sorry i’m not 100% sure

Find the area of the object

Answers

I cut the figure into two different rectangles

5 times 9=45
6 times 3=18
The area of the shape would be 63

What is the median of the data?

11,16,12,7,23,9,5,5

Answers

Answer:

5,5,7,*9,11,*12,16,23

Step-by-step explanation:

Since, the data has an even amount of numbers once, you put your numbers in order you place your pointer fingers from the 1st to last number & continue to move closer. There is an even amount of numbers so you would have to add the 2 numbers up & then divide them by 2.

9+11=20 divided by 2=10

a side of a square is 83/2 inches. using the formula A=s^2 determine the area of a square

Answers

Answer:

47

Step-by-step explanation:

Tai sailed east from the marina for 48 miles and then sailed south for 14 miles, as shown in the diagram. 220x56 What is the shortest distance Tai can sail to return to the marina? A 62 mi B 82 mi C 50 mi D 34 mi

Answers

Answer:

C 50 mi

Step by step explanation:

The shortest distance Tai can sail to return to the marina is 50 miles.

What is Pythagoras Theorem?

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Here, base = 48 miles

         perp. = 14 miles

By Pythagoras Theorem,

(Hypo.)² = (Perp.)² + (Base)²

H² = 14² + 48²

H² = 196 + 2304

 H² = 2500

 H = 50 miles

Thus, the shortest distance Tai can sail to return to the marina is 50 miles.

Learn more about Pythagoras theorem from:

https://brainly.com/question/343682

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If the effective annual interest rate of a loan is 14.6%, what is the nominal annual interest rate, correct to one decimal
place, if interest compounds monthly?

Answers

Answer:

13.7%

Step-by-step explanation:

Nominal interest rate = [tex](\sqrt[m]{1 + effective annual interest rate} - 1 \ ) m[/tex]  

where m = number of compounding = 12

([tex]\sqrt[12]{1.146}[/tex] - 1 ) x 12 = 0.137054 = 13.7%

To round to one decimal place means that there should be only one figure after the decimal place.

What is value of A=sin -1(2/10 rounded to three decimal places

Answers

Answer:

If you meant: A = sin-1(2/10), A = 0.201

If you meant: A = sin(-12/10), A = -0.932

Step-by-step explanation:

Pls HELP I don’t understand:(

Answers

Answer:

Step-by-step explanation:

This problem consists a very special right triangle: 30, 60, and 90 degree right triangle.

The 60 degree angle represents the opposite side, which in this case is 12. 12 = n[tex]\sqrt{3}[/tex] n = 4[tex]\sqrt{3}[/tex]

y = 2n, so it is 8[tex]\sqrt{3}[/tex]

Use a graphical method to find estimates for the solutions of the simultaneous equations x^2 + y^2=2.25 y-x=1
NEED ASAP WILL MARK AS BRAINLIEST

Answers

Answer:

A) which graph represents the equation x^2 + y^2 = 2.25?

First, the general equation for a circle can be written as:

(x - a)^2 + (y - b)^2 = R^2

This is a circle of radius R centered in the point (a, b).

Then we can rewrite our equation as:

(x - 0)^2 + (y - 0)^2 = (√2.25)^2 = (1.5)^2

Then we have a circle centered at the point (0, 0) and with a radius equal to 1.5

Then we can see that the correct one is graph C.

b) Now we want to solve the system:

x^2 + y^2 = 2.25

y - x = 1

graphically.

To do it we need to graph both equations and see in which points do they intersect.

We already have the first equation graphed, so we only need to also graph the linear equation:

y - x = 1

y = 1 + x

An example of this can be seen in the graph below:

There we can estimate one of the intersections as (0.4, 1.4) and the other as (-1.4, -0.4)

The point (- 3, 6) is on a circle with a center at (2, 3) What is the equation of the circle?

Answers

Answer:

[tex](x - 2)^{2} + (y - 3)^{2} = 36[/tex] is the equation of the circle

Step-by-step explanation:

[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]   where (h, k) is the center and r is the radius

In this case h = 2 and k = 3 and r = 6 (see below)

r adius =

[tex]\sqrt{(2 + 3)^{2} + (3 - 6)^{2} } \\= \sqrt{5^{2} + (-3)^{2} } \\= \sqrt{25 + 9\\}\\ = \sqrt{36} = 6[/tex]

Therefore,  [tex](x - 2)^{2} + (y - 3)^{2} = 36[/tex] is the equation of the circle

The point (- 3, 6) is on a circle with a center at (2, 3) So, the equation of the circle will be (x-2)^{2} +(y-3)^{2}= 6^{2}.

What is the general equation of a circle?

The general equation of a circle of radius represents all the points that lie on the circumference of the given circle.

The general equation of a circle is:

[tex]\rm (x-h)^{2} +(y-k)^{2}= r^{2}[/tex]

where (h, k) is the center and r is the radius

The point (- 3, 6) is on a circle with a center at (2, 3).

here, h = 2 and k = 3

[tex]\sqrt{(2+3)^{2} +(3-6)^{2}} \\\\\sqrt{5^2+3^2} \\\\\sqrt{36} \\\\6[/tex]

therefore, the radius is 6 units.

Now, the equation of a circle is:

[tex]\rm (x-h)^{2} +(y-k)^{2}= r^{2}[/tex]

[tex]\rm (x-2)^{2} +(y-3)^{2}= 6^{2}[/tex]

Learn more about the equation of a circle;

https://brainly.com/question/10618691

What is 8/9 - (2/3)² ?​

Answers

Answer:

4 over 9, 4/9

Step-by-step explanation:

have a good day:)

i think it’s 4/9 sorry it’s wrong

the probability that two cards are selected at random from a deck of cards containing a face card and diamond without replacement

Answers

Answer:

6/2652 could possibly be the answer?

it really depends on the amount

Step-by-step explanation:

Plz chooses one more question because I already answered one

Answers

Answer:

C and E

sorry for the late answer

Hope it helps!Hope it helps!:)

Convert 1.25% into fraction

Answers

Answer:

5/4

Step-by-step explanation:

-2x+6y=12 x-3y=3 graph the equations

Answers

Answer:

here ya go bruv:

Step-by-step explanation:

:3

Answer:

The graph, with the answers, is in the picture below.

Step-by-step explanation:

−2x + 6y = 12

Slope:  [tex]\frac{1}{3}[/tex]    y-intercept: (0, 2)

LINE COLOR: RED

x − 3y = 3  

Slope:  [tex]\frac{1}{3}[/tex]   y-intercept: (0, −1)

LINE COLOR: BLUE

The stem and leaf plot shows the number of points scored each game during his 15 game season how many games did the team score 70 points

Answers

Answer:

the answer is 8 edge 2020

Step-by-step explanation:

can i get brainlist to

how do I do this please give a explanation
No links please ​

Answers

Answer: 1/2a-4b

Step-by-step explanation:

When combining like terms you can only combine numbers with the same variables.

So we subtract 3/4a-1/4a=1/2a

And then we subtract the b values

2b-6b=-4b

1/2a-4b

Negative five times two

Answers

Answer = -10

(A negative multiplied by a positive is negative. 5 times 2 is 10; therefore, the answer is -10.

Answer:

-10

Step-by-step explanation:

When multiplying a negative number by a positive number, you multiply the numbers normally and then add on a negative sign. When dealing with signs in multiplication/division, two positives make a positive, two negatives make a positive, and one negative and one positive make a negative.

Translate the sentence into an inequality.
The quotient of b and 3 is less than or equal to 18.

Answers

Answer:

b/3 <= 18

I hope this helps you!

And congratulations on your first question!

You start at (-4, 1). You move down 5 units. Where do you end?​

Answers

Answer:

You end will up at (4+1, 5), which is (5,5).

Work out
5 1/4+ 1/2 x2/3
Give your answer as a mixed number

Answers

Answer:

5 10/12

Step-by-step explanation:

using BODMAS

1/2×2/3=1/3

THEN; 5 1/4+1/3

Change 5 1/4 to 21/4 then add to 1/3

you get 70/12

divide 70÷12

answer 5 10/12

hope it helped

Colton is going to invest in an account paying in interest rate of 6.3% compounded continuously how much wood coating need to invest to the nearest dollar for the value of the account to reach 22,700 in 16 years

Answers

Answer:

8284

Step-by-step explanation: I had the same question


The owner of Paul's Pizza Place recorded how many pizzas the restaurant sold each day for a
month.
Pizzas sold
0
50
100
150
200
250
What was the fewest pizzas sold in a day?
pizzas
(PLEASE DO NOT SEND ME A FILE! SEND ME THE ACTUAL ANSWER!)

Answers

Answer:55

Step-by-step explanation:well in this question it said what is the lowest number of pizza they sold so that how you find the answer

The requried, given data shows that the fewest pizzas sold in a day were 55.

What is a box plot?

A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value. Horizontal lines on both sides of the rectangle show the lower and upper quartiles.

The owner of Paul's Pizza Place recorded the number of pizzas sold each day for a month, and according to the data provided, the minimum number of pizzas sold in a day was 55

It is important to note that the data provided only shows the number of pizzas sold on six days out of the entire month,  based on the given box plot, we can say that the fewest pizzas sold in a day during the recorded period were 55.

Learn more about box plots here:

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please help i need to know asap!

Answers

Answer:

QR because its is more responsible than PR

Please fill in the missing cells and describe the rule

Answers

Answer:

The OUT for -3 is 6, and the OUT for 1 is 2.

Step-by-step explanation:

The rule is for any x, OUT(x) = IN(x) * (x+1)

Below is showing the rule:

IN=2: 2*3=6

IN=4: 4*5=20

IN=10: 10*11=110

etc.

If I helped, a brainliest would be greatly appreciated!

find the inverse f(x) = 3х^2 - |

Answers

Answer:

[tex]f^{-1}[/tex]=[tex]\frac{\sqrt{3(x+1)} }{3}[/tex]

Step-by-step explanation:

f(x) = 3[tex]x^{2}[/tex] - |

Let y= 3[tex]x^{2}[/tex]-1

Both side -1

y+1=3[tex]x^{2}[/tex]  

[tex]x^{2}[/tex]=    [tex]\frac{\sqrt{3(y+1)} }{3}[/tex]

x=  [tex]\frac{\sqrt{3(y+1)} }{3}[/tex]

[tex]f^{-1}[/tex]=[tex]\frac{\sqrt{3(x+1)} }{3}[/tex]

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