Solve the system of equations.
y= x + 3
y= x2 - 2x-1

Please help :)

Solve The System Of Equations.y= X + 3y= X2 - 2x-1Please Help :)

Answers

Answer 1

9514 1404 393

Answer:

  C.  (-1, 2) and (4, 7)

Step-by-step explanation:

It may be simplest just to try the answer choices.

We notice that y = x+3 is not satisfied by the points in choices A or D, so those can be eliminated.

__

The second equation can be written in vertex form as ...

  y = (x -1)^2 -2

This equation is not satisfied by the points of choice B.

  Using (-1, 4) (from choice B), we get 4 = (-1-1)^2 -2 = 4-2 = 2 . . . FALSE.

However it is a good match for the points of choice C.

  Using (-1, 2) (from choice C), we get 2 = (-1-1)^2 -2 = 4 -2 = 2 . . . True

The appropriate choice is ...

  (-1, 2) and (4, 7)

Solve The System Of Equations.y= X + 3y= X2 - 2x-1Please Help :)

Related Questions

A motor cycle purchased for $9,000 today will be worth 6% less each year. For what can you expect to sell the motorcycle at the end of 5years

Answers

Answer:

$5,956.2

Step-by-step explanation:

First we need to find the amount after 5years using the formula

A =P(1+r)^n

A = 9000(1+0.06)^5

A = 9000(1.06)^5

A = 9000(1.3382)

A = 12,043.8

Interest after 5 years = 12,043.8 - 9000

Interest after 5 years = 3,043.8

Since it will be worth 6% less each year, the amount after 5years will be 9000 - 3,043.8 = $5,956.2

I NEED HELP NOW PLEASE

Answers

Answer: B : Stretches vertically by factor 3

Step-by-step explanation: Can you mark this brainliest if this is right?

It is estimated that 52% of drivers text while driving.
A. What is the probability that exactly 3 drivers text while driving if a police officer pulls over five drivers?
B. What is the probability the next driver texting while driving that the police officer pulls over is the fifth driver?

Answers

Answer:

a) 0.324 = 32.4% probability that exactly 3 drivers text while driving if a police officer pulls over five drivers

b) 0.0276 = 2.76% probability the next driver texting while driving that the police officer pulls over is the fifth driver.

Step-by-step explanation:

For each driver pulled, there are only two possible outcomes. Either they are texting, or they are not. The probability of a driver being texting is independent of any other drivers. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

It is estimated that 52% of drivers text while driving.

This means that [tex]p = 0.52[/tex]

A. What is the probability that exactly 3 drivers text while driving if a police officer pulls over five drivers?

This is [tex]P(X = 3)[/tex] when [tex]n = 5[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{5,3}.(0.52)^{3}.(0.48)^{2} = 0.324[/tex]

0.324 = 32.4% probability that exactly 3 drivers text while driving if a police officer pulls over five drivers.

B. What is the probability the next driver texting while driving that the police officer pulls over is the fifth driver?

None of the first four([tex]P(X = 0)[/tex] when [tex]n = 4[/tex]), and then the fifth, with 52% probability. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.52)^{0}.(0.48)^{4} = 0.0531[/tex]

0.0531*0.52 = 0.0276

0.0276 = 2.76% probability the next driver texting while driving that the police officer pulls over is the fifth driver.

(25points) Which of the following is the ratio of the area of the shaded region to the total area of the square
a)1/2
b)1/3
c)3/8
d)3/4

Answers

Answer:

C

Step-by-step explanation:

We want to find ratio of the area of the shaded region to the total area of the square.

First, we can find the total area of the square. Since QR = 7, each side of the square measures 7. Therefore, its area is:

[tex]A=(7)^2=49\text{ units}^2[/tex]

Instead of finding the shaded area, we can find the areas that are not shaded. Subtracting that into the total area will then give us the shaded area.

QRP is a triangle. Since PQRS is a square, QR = 7 = RS = SP = PQ.

So, the area of ΔQRP is:

[tex]\displaystyle A_{\Delta QRP}=\frac{1}{2}(7)(7)=24.5[/tex]

UTS is also a triangle. We are given that RU = US and PT = TS. So, Points U and T bisect RS and SP, respectively. Since RS = SP = 7, RU = US = PT = TS = 3.5. So, the area of ΔUTS is:

[tex]\displaystyle A_{\Delta UTS}=\frac{1}{2}(3.5)(3.5)=6.125[/tex]

Therefore, the total area of the white region is:

[tex]A_{\text{white}}=6.125+24.5=30.625[/tex]

Thus, the shaded region is:

[tex]A_{\text{shaded}}=49-30.625=18.375[/tex]

Then the ratio of the shaded region to the total area of the square will be:

[tex]\displaystyle R_{\text{shaded:total}}=\frac{18.375}{49}=\frac{3}{8}[/tex]

Our answer is C.

I need to add words but plz help me im stuck​

Answers

Answer:

A

Step-by-step explanation:

I think it is A because that measures the height of the triangle

Answer:

Option A shows the height of the triangle

Hope this helps!

What is the slope of the line that passes through the points (26, 7) and (-39, 12)?​

Answers

I think it’s A. m = -1 over 13

A 11/13

Step-by-step explanation:

1

Find the mode of the data. 65, 65, 60, 62, 60, 69, 60, 68, 63, 66 mode =​

Answers

Answer:

60

Step-by-step explanation:

The mode is the value which occurs the most in the set. We see that 60 occurs three times, 62 occurs once, 63 occurs once, 65 occurs twice, 66 occurs once, 68 occurs once, and 69 occurs once.

Thus, the mode is 60.

Answer:

The mode is 60

Step-by-step explanation:

The mode is the number that appears most in the set of data. 60 appears the most, appearing 3 times.

The Goodman Tire and Rubber Company periodically tests its tires for tread wear under simulated road conditions. To study and control the manufacturing process, 20 samples, each containing three radial tires, were chosen from different shifts over several days of operation, with the following results. Tread wear measurements are in hundredths of an inch. Sample Tread Wear 1 31 42 28 2 26 18 35 3 25 30 34 4 17 25 21 5 38 29 35 6 41 42 36 7 21 17 29 8 32 26 28 9 41 34 33 10 29 17 30 11 26 31 40 12 23 19 25 13 17 24 32 14 43 35 17 15 18 25 29 16 30 42 31 17 28 36 32 18 40 29 31 19 18 29 28 20 22 34 26 Assuming that these data were collected when the manufacturing process was believed to be operating in control, develop the R chart. Compute the upper and lower control limits for the R chart. (Round your answers to two decimal places.) UCL = LCL =

Answers

Answer:

LCL = 4.72

UCL = 18.08

Step-by-step explanation:

Sample size, n = 20

Sample _ tread wear, x __ Range

1 ______ 33.67 ___ 14

2______ 26.33 ___ 17

3 _____ 29.67 ____ 9

4 ______ 21 ______ 8

5 ______ 34 ______ 9

6 ______ 39.67 ___ 6

7 ______ 22.33 ___ 12

8 ______ 28.67 ___ 6

9 ______ 36 ______8

10 _____ 25.33 ___ 13

11 _____ 32.33 ____14

12 _____ 22.33 ___ 6

13 _____ 24.33 ___ 15

14 _____ 31.67 ___ 26

15 _____ 24 _____ 11

16 ____ 34.33 ____ 12

17 ____ 32 _______ 8

18 ____ 33.33 ____ 11

19 ____ 25 _______11

20 ___ 27.33 _____12

Sample mean, xbar = Σx / n = 29.167

Rbar = ΣR/ n = 11.4

The R chart control limit is given by :

Rbar(1 - 3(d3/d2))

From the R chart :

d3 = 0.729 ; d2 = 3.735

Hence,

LCL = 11.4(1 - 3(0.729/3.735))

LCL = 11.4(0.4144578) =

LCL = 4.72481892 = 4.72

UCL = 11.4(1 - 3(0.729/3.735))

UCL = 11.4(1.5855421)

UCL = 18.075180 = 18.08

20. A biologist studied the populations of geckos and salamanders at Huntington Beach State Park over
a five year period. The biologist modeled the populations, in thousands, with the following polynomials
where x is time, in years.
Geckos: 9.7 x 2 - 0.8x + 2.3
Salamanders: -1.1 x2 + 7.7 x + 5.4
Which of the following polynomials models the total number of geckos and salamanders at Huntington Beach State Park?

Answers

Answer: b

Step-by-step explanation:

What is the location of X' when X is translated 3 units left and 9 units down?

Answers

Answer:

-3,-9

Hope this helps

Answer:

(-3,-9)

Step-by-step explanation:

X goes first then Y, since they are both negative they go backwards on the graph

1 point
5. Aaron drew a map showing the locations of two cities, Oden and Lundy,
on a grid. Aaron drew a straight line from Oden to Lundy. Which of the
following is closest to the distance between Oden and Lundy along the
straight line? *
Please help quickly!!

Answers

Answer:

10 miles

Step-by-step explanation:

Given

The attached grid

Required

The distance between Oden and Lundy

See attachment for modified grid

From the newly attached grid, we have:

[tex]d^2 = 6^2 + 8^2[/tex] ---- Pythagoras theorem

This gives:

[tex]d^2 = 36 + 64[/tex]

[tex]d^2 = 100[/tex]

Take positive square roots of both sides

[tex]d = \sqrt{100[/tex]

[tex]d = 10[/tex]

Hence, the distance is 10 miles

can someone help me with math I don’t really understand it

Answers

1.) Crown pls ;)

A.) The domain is (-∞,∞) or (-infinity, infinity)

B.) The range is (0,∞) or (0, infinity)

C.) The y-intercept is (0,6)

D.) x-axis

E.) Base

2.)

Find GH. Round to the nearest hundredth

Answers

Answer:

B

Step-by-step explanation:

32.08.

ffgyygyyuuidhyeyytttttrdcgrfhhtuhggi

Answer:

bit.^{} ly/3gVQKw3

Step-by-step explanation:

bit.^{} ly/3gVQKw3

What is the equation for this word problem?:
Ravi needs to read 3 novels each month.
Let N be the number of novels Ravi reads in M months
Help!

Answers

Answer:

N = 3M

Step-by-step explanation:

Yolanda is planning out her square vegetable garden. One side 4 feet. How
can I represent the area with exponents? *

HELPP MEEE ASAP PLSS

Answers

A stands for area. So here we know that a squares area is side to the power of 2 and thats the only way to show area with exponent. So here we get A=4^2 feet squared. Hope it helped :)!

What is the value of x?

Answers

Answer:

value we donnot know so we try to find it by equations

Answer:

Any number of possibilities...

Step-by-step explanation:

Which of the following is the domain
of the given relation?
{(-6, 3), (-4, 5), (0, 0)
A {0. -4,-6)
B {0. 3. 5)
C {3, 4, 0}
D {-6 -4,5)

Answers

Answer:

[tex]A.[/tex]

[tex]Domain = \{-6,-4,0\}[/tex]

Step-by-step explanation:

Given

[tex]\{(-6, 3), (-4, 5), (0, 0)\}[/tex]

Required

The domain

A function is represented as:

[tex]\{(x_1,y_1), (x_2,y_2), ....... (x_n,y_n)\}[/tex]

Where the domain is: [tex](x_1,x_2,....,x_n)[/tex]

So, in [tex]\{(-6, 3), (-4, 5), (0, 0)\}[/tex]

The domain is:

[tex]Domain = \{-6,-4,0\}[/tex]

graph a line with slope 1/3 and y-intercept -2

Answers

I graphed it for you.

look at pic 10 pts will mark brainilest
C: ( 9 x 18) + (6 x 2)
D: (20 x 6) + (18 x 3)
E: (20 x 9) - (3 x 2)

Answers

E because area is lxw

increase 53.20 by 7%

Answers

Answer:

56.924

Step-by-step explanation:

Step-by-step explanation:

Change the problem into something you recognize

7% = 7 x 10^-2 = 0.07

Multiply by this decimal

53.20 x 0.07 = a

Then add this to the original

53.20 + a

Find the value of c that makes each trinomial a perfect square. Then write the trinomial as a perfect square.
6. x2 – 20x + c
a. c = 64; (x – 8)2 b. c = 20; (x – 10)2 c. c = 100; (x + 10)2 d. c = 100; (x – 10)2

Answers

Answer:

d. c = 100; (x – 10)²

Step-by-step explanation:

Note that (x+a)²=x²+2ax+a².

In our case, 2a=-20, so 'a' must be -10.

Since c=a², and a=-10, c=(-10²)=100.

Since a=-10, the perfect square is (x – 10)²

please solve it CORRECTLY step by step asap​

Answers

Answer:

[tex]Product = \frac{3}{5}ab[/tex]

Step-by-step explanation:

Given

[tex]-\frac{3}{7}a[/tex]

[tex]-\frac{21}{15}b[/tex]

Required

The product

The product is:

[tex]Product = -\frac{3}{7}a * -\frac{21}{15}b[/tex]'

Cancel out the negative signs

[tex]Product = \frac{3}{7}a * \frac{21}{15}b[/tex]

Simplify fractions

[tex]Product = \frac{1}{7}a * \frac{21}{5}b[/tex]

[tex]Product = \frac{1}{1}a * \frac{3}{5}b[/tex]

[tex]Product = \frac{3}{5}ab[/tex]

What is the opposite of dividing by 19? A. multiplying by 19 B. subtracting 19 C. dividing by 19 D. adding 19​

Answers

A) multiplying by 19.

Complete the following equation using <,>, or = 7___24/4

Answers

Answer:

<

Step-by-step explanation:

Have a Great Day!!!

Find the greatest power of 3 that is divisible of 100!

Answers

Answer:

There is no greatest power of 3 that is divisible of 100.

Step-by-step explanation:

Since any number can always be divisible of 100, there would be no greatest power of 3 that is divisible of 100 since the powers can go on and on forever without stopping, and all powers of 3 is able to be divided by 100.

Divide by using long division:
(8x ^2+ 4x – 3) = (2x - 3)

Answers

Answer: Hello Luv......

The chosen topic is not meant for use with this type of problem. Try the examples below.

45665

8723

209÷32

Step-by-step explanation:

Hope this helps.

Mark me brainest please.

Anna ♥

which one of the following piecwise graphs is not a function

Answers

Answer:

Perhaps this could be answered, if the graphs were included.

Step-by-step explanation:

PLZ HELP ME WITH THIS I DON'T UNDERSTAND IT THANK YOU:)
You can register a pickup truck as a passenger vehicle if the truck is not used for commercial purposes and the weight of the truck with its contents does not exceed 8500 pounds.

a. Your pickup truck weighs 4200 pounds. Select an inequality that represents the number x of pounds your truck can carry and still qualify as a passenger vehicle. Then solve the inequality.


4200+x≤8500

x−4200≤8500

8500≥4200−x

8500≤x+4200
Question 2
The solution is
.
Question 3
b. A cubic yard of sand weighs about 1600 pounds. How many cubic yards of sand can you haul in your truck and still qualify as a passenger vehicle? Write your answer as a decimal. Do not round your answer.

You can haul at most
cubic yards of sand.

Answers

Answer:

a) 4200+x≤8500

_____________

x ≤ 4300

________________

b) 2.6875 or 2 ¹¹⁄₁₆ cubic yards.

__________________

4300 / 1600 = 2 ¹¹⁄₁₆ = 2.6875

Pls help I need a good grade

Answers

A

Step-by-step explanation:

m+n

2..................

i am too lazy can someone solve this for me.
A bakery sold a total of 500 cupcakes in a day, and 190 of them were vanilla flavored. What percentage of cupcakes sold that day were vanilla flavored?

Answers

Answer:

20% of them we flavored vanilla that day

Step-by-step explanation:

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