Which statement is true about the equation f(x)=g(x) given f(x)=2x+3 and g(x)=x^2? please help

Answers

Answer 1

Answer:

x=3 and x=-1

Step-by-step explanation:

If f(x)=g(x), then 2x+3=x^2:

x^2-2x-3=0

(x-3)(x+1)=0

x=3 and x=-1

Answer 2

We can conclude that the statement:

There are values of x for which f(x) = g(x)" is true.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To determine which statement is true about the equation f(x) = g(x) given f(x) = 2x + 3 and g(x) = x²,

We can substitute the expressions for f(x) and g(x) into the equation and simplify:

f(x) = g(x)

2x + 3 = x^2

Now we have a quadratic equation.

We can rearrange it to standard form and solve for x using the quadratic formula:

x² - 2x - 3 = 0

a = 1, b = -2, c = -3

x = (-b ± √(b² - 4ac)) / 2a

x = (2 ± √(16)) / 2

x = (2 ± 4) / 2

x = -1 or x = 3

Therefore,

The equation f(x) = g(x) is true for some values of x, namely x = -1 and x = 3.

Thus,

Based on this, we can conclude that the statement "There are values of x for which f(x) = g(x)" is true.

Learn more about functions here:

https://brainly.com/question/28533782

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Related Questions

Find the value of x so that the ratios are equivalent.

9:x and 54:8

Answers

Answer:

1 and 1/3.

Step-by-step explanation:

Just ask!

Hope this helps...(sorry if I'm wrong.)

(✿◡‿◡) HAPPY HOLIDAYS!!!

Jeremy brought a sandwich and a drink that cost him $7. His drink cost $1.75. Solve the equation 7=s + 1.75 to find s, the cost of Jeremy’s sandwich.

Answers

Answer:

the answer is 5.25

Step-by-step explanation:

subtract the amount from the drink and should give you the cost of the sandwich

Question 1(Multiple Choice Worth 2 points)
Convert 0.00001 to a power of 10.

104
10−4
105
10−5

Answers

Answer:

Hello! Your answer here is 10−5.

Step-by-step explanation:

To convert 0.00001 to a power of 10, we use scientific notation. Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

In this problem, the given decimal number is 0.00001. We must move the decimal 5 places to the right, which gives us 1.0.

Then, we multiply 1.0 by 10 raised to the negative of the number of places we have moved the decimal point - so we multiply 1.0 by 10−5, which gives us our answer:

10−5

x/2 = y/3
find value of x, y if x+y =30

Answers

Answer:

x=12, y=18

Step-by-step explanation:

PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL

A 14 cm cube is built from small cubes, each 2 cm on an edge. Compare the edge lengths of the two cubes.
9:1
7:1
8:1
10:1

Answers

Answer:

7:1

Step-by-step explanation:

Your brother is 15 your age. Your sister is 7 years older than your brother. Your sister is 11 years old. Write and solve an equation to find your age a.

Answers

Answer:

a = 19a = 15 + b

Step-by-step explanation:

Given:

a = b + 15 (a = my age; b = my brother's age)s = b + 7 (a = my age; s = my sister's age)s = 11 (s = my sister's age)

s = b + 7

=> 11 = b + 7

=> b = 4

a = 15 + b

=> a = 15 + 4

=> a = 19

Therefore, the equation is 'a = 15 + 4' and the answer is 'a = 19'.

Hoped this helped.

I apologize if this was incorrect or un-helpful.

My age be xBrothers age is y+15Sister's age be z

So

z=y+7

As z=11

[tex]\\ \rm\Rrightarrow y+7=11[/tex]

[tex]\\ \rm\Rrightarrow y=4[/tex]

My age=

x=y+15x=4+15=19years

How would four billion, nineteen million, three hundred thirty-seven thousand, two be written in standard form?

Answers

4,019,337,002 is the answer

Does anyone know or understand how to do this?

Answers

Answer:

32 degrees

Step-by-step explanation:

lets assume a point K on top of M and giving the the measure of <KMN  = 90 degree.

let LMP be x

KML = 90 - 79 = 11

x =  90-11-47 = 32

thus, <LMP is 32 degrees

What is 2872+919=? It’s simple here
2872+919=3791
Was this helpful?

Answers

Answer:

3791

Step-by-step explanation:

Answer:

3791

Step-by-step explanation:

2872+919=3791

2872 + 919 = 3791

2872+919=3791

2872+919=3791

7. (6 points) Sam can paint a house in 3 hours. When Sam and Jordan work together, they can paint
2 houses in 5 hours. If Jordan works alone, how long will it take for Jordan to paint one house? Show
all work, and write your final answer as a fraction with units.

Answers

Answer:

1/3 +1/5 per hour

Step-by-step explanation:

hope i helped sorry if i didn't

I'm confused, please help me, I'm unsure about what is the difference from multiplication and division. could someone maybe explain please?

Answers

Answer:

Step-by-step explanation:

Multiplication is a see also of division. Division is a see also of multiplication.

As nouns the difference between division and multiplication is that division is (uncountable) the act or process of dividing anything while multiplication is (uncountable|mathematics) the process of computing the sum of a number with itself a specified number of times, or any other analogous binary operation that combines other mathematical objects

28 divided my someing =4

Answers

Question :- 28 divided my something =4

Answer:- let something be x

[tex] \frac{28}{x} = 4 \\ \frac{28}{4} = x \\ 7 = x \: \: ans[/tex]

Answer:

7

Step-by-step explanation:

28 divided by 7 would give you 4.

(It's easier to solve this problem if you count by 4's: 4, 18, 12, 16, 20, 24, 28)

hope this helped!

what is the exact circumference of the circle? A. 10 FT B. 20 FT C. 40 FT D. 60 FT

Answers

Answer:

D. 60 Ft

Step-by-step explanation:

circumference = πd

π 20

60ft

Answer:

Hopefully others can use mine and get it correct!

Step-by-step explanation:

I just took this and got it wrong by listening to the other and went with 60 FT nope its 20FT

so tell me how many assignments are you missing?

Answers

I have like 27 missing assignments

please help!!! Anyone know this? Thanks!!!!!!!

Answers

Answer:

[tex]i\sqrt4 ~ \text{and} ~ 2i[/tex]

Step-by-step explanation:

[tex]\sqrt{-4}\\\\=\sqrt{-1} \sqrt4\\\\=i\sqrt4\\\\=2i[/tex]

PLEASE HELP!! I need someone who know probability and statistics please.
A store manager claims that 60% of shoppers who enter her store make a purchase. To investigate this claim, she selects a random sample of 40 customers and finds that 40% of them make a purchase. She wants to know if the data provide convincing evidence that the true proportion of all customers who enter her store that will make a purchase differs from 60%. The P-value of this test is 0.0098. Interpret the P-value.

A. Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.

B. Assuming the true population proportion of shoppers who will make a purchase differs from 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.

C. Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic as extreme as or more extreme than 0.40 in a random sample of 40 customers is 0.0098.

D. Assuming the true population proportion of shoppers who will make a purchase is different from 0.60, the probability of obtaining a sample statistic as extreme as or more extreme than 0.40 in a random sample of 40 customers is 0.0098.

Answers

D because I should make more since

What is the slope of the line containing the point (34,-27) and (14, 37)

Answers

The slope of the line is 64/-24. That reduces to 8/-3.

Use the formula, Y2-Y1/X2-X1.

Step-by-step explanation:

where slope is equal to y2-y1/x2-x1

someone solve asap whats the answer for this

Answers

Answer: The answer is in the 1st image.

Explanation: The explanation is in the 2nd image.

This is a really quick question and I need your help

Answers

Step-by-step explanation:

To find the slope, calculate rise and run. The formula is as follows...

[tex]\frac{Rise}{Run} =\frac{y2-y1}{x2-x1}[/tex]

1 point
4.) Tom's goal is to save an average of $55 a week for six weeks. For the
first five weeks he saved 45, 60, 25, 50, 55. What is the smallest amount he
can save in week 6 to meet his goal?
80
55
95
65

Answers

The answer to the question is $95

I'VE ASKED THIS 4 TIMES ALREADY. DOUBLE POINTS PLEASE HELP!!!

Please help! Write an equation of the line passing through the point (6,-4) that is perpendicular to the line y=1/3x-9

Answers

Answer:

y=-3x-14

Step-by-step explanation:

y=mx +c

m= 1/3

perp m= -3

goes through point (6,-4)

sub numbers

What is the slope from the equation: 2x + 9

Answers

Answer:

If you want a angle the angle is positive and the answer is M=2

Step-by-step explanation:

The answer is M=2

Anand's garden is 70m long. If it is a square type and he has to fence with barbed wire of 3 rounds. What is the total length of the wire?

please give a valid and step by step explanation and answer this will give u an extra 5 points

Answers

Answer:

If her garden is 70m long, and it's a square type, wouldn't that suggest that her garden is 280m long?(70m X 4) And if this is the case, her garden would be 280 X 3=840 since there are 3 rounds?

Step-by-step explanation:

Answer: 840m

HELP ME PLEASE>>>>>>

Answers

Answer:

I think d is the answer......

I think it’s B !!!! If not sorry

Even after that large purchase at Best Buy, you decide to go to Target to grab a few things that you missed. You purchase WWE 2K21 for $49.99, Starbucks Vanilla Coffee for $13.99, the new Keurig K550 for $179.99, and a pair of jeans for $17.99. The state sales tax is 6%.

What is the total selling price before tax?

How much is sales tax did you pay?

What was your total cost?

Answers

The total selling price before tax is $261.96.

The sales tax paid is $15.72.

The total cost is  $277.68.

The total selling price before tax is the sum of the prices of the WWE 2K21, Starbucks Vanilla Coffee,  new Keurig K550 and the jeans

$49.99 + $13.99 + $179.99 + $17.99 = $261.96.

Sales tax is the amount of money levied when a good or service is purchased. It is a percentage of the price of an item

Sales tax = tax rate x cost

6% x $261.96 = $15.72

The total price paid is the sum of the sales tax and the  total selling price.

$15.72 +  $261.96 = $277.68

To learn more about taxes, please check: https://brainly.com/question/25311567

a ball bounces 124 feet off the ground. each time it bounces it bounces half of its original height. How much tell the total is 500 feet

Answers

The answer is 250,112.5,56.25,28.125,14.0625, 7.03125

which one is a function quick

Answers

Answer: Neither are functions, so option D

On both tables, one of the inputs has 2 outputs, so no function

Miles bought 3.75 acres of land in 1993. In 1997, he bought enough land to double his property. Then in 2001, Mis was forced to sell 2.9 acres of land. In 2005, he gave 25% of his remaining land to his daughter. If he did not buy or sell and more land, how much land does miles have now.

A. 2.6 acres C. 7.8 acres
B. 3.45 acres D. 1.15 acres

Answers

Answer: B: 3.45

Step-by-step explanation: First, we take 3.75 and double it, or multiply it by 2 giving us 7.5, then, we subtract 2.9 from 7.5, giving us 4.6. then we take away 25% of 4.6, or 1.15, giving us *3.45*.

Convert the binary number 10101 to its base 10 equivalent.
12
21
22
31

Answers

The answer for the binary number 10101 is 21

[tex]\\ \sf\Rrightarrow (10101)_2[/tex]

[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]

[tex]\\ \sf\Rrightarrow 1+4+16[/tex]

[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]

Done!

Eli is now one quarter of his father’s age. In 5 years’ time his age will be one third of
his father’s age. How old is Eli now?

Answers

Answer:

10

Step-by-step explanation:

This is because 10×4=40

10+5=15

40+5=45

45/15=3

Answer:

Step-by-step explanation:

Let E and F represent Eli and his Father's current ages.

We are told that E = (1/4)F.  ["Eli is now one quarter of his father’s age"]

But in 5 years, that will be:

(E+5) = (1/3)(F+5)       ["In 5 years’ time his age will be one third of

his father’s age"]

-------------

We have two equations and two unknowns.  Find a way to eliminate one of the two variables and then solve for the remaining variable.

E = (1/4)F

(E+5) = (1/3)(F+5)

It seems to me the easiest would be to use the first equation's definition of E [=(1/4)F] in the second equation:

(E+5) = (1/3)(F+5)

((1/4)F+5) = (1/3)(F+5)

(1/4)F - (1/3)F = (1/3)*5 - 5

F - (4/3)F = (4/3)*5 - 20

-(1/3)F = (20/3) - (60/3)

-(1/3)F = (-40/3)

F = (120/3)

F = 40 years

E = 10 years  (based on E = (1/4)F)

====

In five years:  F is 45 and E is 15, which would make Eli  1/3 of his father's age in 5 years.

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