Help!! Ill give 100 points!

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

We can conclude that the statement:

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

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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Answer: [tex]\frac{17}3}[/tex] or 17:3

Step-by-step explanation:

Since Lydia got 17 out of 20 questions correct, that means she got 3 out of 20 incorrect. To get the ratio of correct (17) to incorrect (3) answers, we can simply divide the two numbers as follows:

[tex]\frac{17}3}[/tex] or 17:3

Since this ratio is already in simplest terms, this is the final answer.

Answer:

The error is that 2 should have been added to both sides, 7 = x

Step-by-step explanation:

Answer:

3. Option No. 2:  

6x + 2y = 22

3x + 3y = 18

4. Option No. 2:

$2.50

Step by step explanation:

4. 6x + 2y = 22  

 (3x + 3y = 18) * 2

- Negate

6x + 2y = 22

6x + 6y = 36

2y - 6y = 22 - 36

-4y = -14

y = -14/-4

y = 3.5

An order of onion rings = $3.50

- Substitute to find for x

6x + 2(3.5) = 22

6x + 7 = 22

6x = 22 - 7

6x = 15

x = 15/6

x = 2.5

An order of French fries = $2.50

Answer:

Step-by-step explanation:

8➗2=4

since 1/2 is divinding

Step-by-step explanation:

x/5 - 74 = 26

x/5 = 26 + 74

x/5 = 100

x = 100 x 5

x = 500

Answer:

-

Step-by-step explanation:

Answer:

u can use the scientific calculator to answer this question easily.

Step-by-step explanation:

Answer:

1. 4x = 15

2. 4(n - 3) = 24

3. 2n + 5 = 13

4. (3/4)n = 9

5. 6x - 4 = 8

Step-by-step explanation:

this should be correct. hope this helps!

Answer:

Step-by-step explanation:

New equation equals   - 5y = - 35

Step 2. y = 7

Step 3. 5x - 4( 7 ) = - 23

Step 4. ( 1 , 7 )

Answer:

27$

Step-by-step explanation:

I do not know what you mean by tt hours, but I can create an equation for the problem

Y=3x+12

Essentially, every X hours he spends in the lot you add 3$, but you start off with 12$. Please mark this brainliest or thank it.

[tex](5^6)^0 \\\\=5^0\\\\=1[/tex]

Hello there, there are multiple ways of solving this problem, let me show you.

[tex]{\huge{\boxed{\mathbb{QUESTION}}}}}[/tex]

A Freight Train Travels 144 miles in 6 hours. How Far will it travel in 15 hours?

_________________

For this problem I will show you 2 methods.

[tex]{\huge{\boxed{\mathbb{METHOD\:ONE}}[/tex]

Cross multiplication, cross multiplication involves algebra to use.

Let x be our answer for this problem. Here is our it would look like

[tex]\frac{6}{144}=\frac{15}{x}[/tex], now we will cross multiply, here is what it'd look like now.

[tex]6x=2160[/tex], then do simple algebra and divide both sides by 6. and then we get [tex]x=360[/tex] miles in 15 hours.

_________________

[tex]{\huge{\boxed{\mathbb{METHOD\:TWO}}[/tex]

For method two we can look for the unit rate. Also known as our rate for one.

divide 144 by 6 and we get 24, then multiply it by 15 and we get 360.

_________________

[tex]{\huge{\boxed{\mathbb{EXACT\:ANSWER}}[/tex]

360 miles in 15 hours.

Answer:

142.55

Step-by-step explanation:

Answer:

15:40

Step-by-step explanation:

Answer:

hi friends I need help with the following me

Answer:

10/4 per day (2.5 words simplified)

10/3 days he wrote so far (around 3 days simplified)

so in order to find out how much he wrote in total multiply the two numbers together

2.5 x 3 = around 7.5 or 8 words

Answer:

-12z + 2

Step-by-step explanation:

yeah-ya........ right???

Answer:

The graph of a straight line through the origin with a slope equal to the unit rate.

What Pic or Figure Lol

Answer:

3/16

Step-by-step explanation:

So Derrick is sharing pizza with 3 friend, so in total, there are 4 people.

There is 6/8 pizza in current total pizza.

[tex]\frac{\frac{6}{8}}{4} =6/32=3/16[/tex]

Answer:

2/8

Step-by-step explanation:

each person would get 2/8

Answer:

d. n≤5

Step-by-step explanation:

This is the answer

Answer:

D) n≤5

Step-by-step explanation:

No more than 5 means that the number cannot exceed 5, but it's ok to have any number less than 5 or equal to 5. So, this means that D is correct.

Answer:

  Y = 62°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  W + X + Y = 180°

  (4n -9°) + (7n -16°) +(6n -16°) = 180°

  17n -41° = 180° . . . . . . . . . . simplify

  17n = 221° . . . . . . . . . . add 41°

  n = 13° . . . . . . . . . . divide by 17

Then the measure of Y is ...

  Y = 6n -16° = 6(13°) -16° = 78° -16°

  Y = 62°

_____

The other angles are W = 43°, X = 75°.

Angles of a triangle adds to 180° .

=> W + X + Y = 180°

=> (4n-9°) + (7n-16°) + (6n-16°) = 180°

=> 17n-41° = 180°

=> 17n = 180° + 41°

=> 17n = 221°

=> n = 221/17

=> n = 13°

=> 6n-16° = 6(13°) -16° = 62°

Y = 62°

Answer:

x = 5

Step-by-step explanation:

3/2x is same as 15/10x

6/5x is same as 12/10x

3/10x = 3/2

cross-multiply:

6x = 30

x = 5

Answer:

None of the answer choices show the correct answer.

The actual answer is 140 miles.

Step-by-step explanation:

Since Cooper drove 60 miles per hour for 2 hours, that means that he drove 120 miles for the first 2 hours.

60 * 2 = 120

Cooper then drove for another 30 minutes at a speed of 40 miles per hour.

30 minutes is half of and hour so we need to divide the 40 miles by 2.

40 / 2 = 20

Now we just have to add them together.

120 + 20 = 140

So the answer is 140 miles.

Hope this helps! :)

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