PLEASE HELP!!
We used these functions to represent the two sides of the equation:
f(x) = 3x
g(x) = 4x + 1
Graph the functions y = f(x) and y = g(x) on the same coordinate plane.

At which points are the functions y = f(x) and y = g(x) equal? What are the x-values of the solution?

How many solutions are there to the equation f(x) = g(x)? How do you know these are solutions?

Answer:

Output

Step-by-step explanation:

A function takes values of x (the horizontal axis on a plane)and returns the corresponding values of y (the vertical axis on a plane).

Thus, the values we get for y depends on the value of x.

The x's values that we give in a function are called the domain, and the values that the function returns to us are called the range of the function (the y's).

So a word that describes the range of a function well is that the range is the output of the function. Because the range is the set of values that the function returns to us when we plug an x value.

Answer:

-39/8y

Step-by-step explanation:

-4/y(2)+(-7/8y)

Answer:

1 - x - 2 + 2x = 10x - 25 - x

Step-by-step explanation:

We have the expression: 1 - (x+2) + 2x = 5(2x - 5) - x

Applying the distributive property we get:

1 - x - 2 + 2x = 10x - 25 - x

So, the following equation is the result of that step: 1 - x - 2 + 2x = 10x - 25 - x

Answer:

The equation is:

[tex]1-x-2 + 2x = 10x-25-x[/tex]

Step-by-step explanation:

The distributive property says that

[tex]c(a+b) = ac + bc[/tex]

In this case we have the following equation

[tex]1-(x+2) + 2x = 5(2x-5)-x[/tex]

Then apply the distributive property as shown below

[tex]1-1*x-1*2 + 2x = 5*2x-5*5-x[/tex]

Now simplify the expression

[tex]1-x-2 + 2x = 10x-25-x[/tex]

So the equation that results after applying the distributive property is:

[tex]1-x-2 + 2x = 10x-25-x[/tex]

Answer:

[tex]\large\boxed{(f+g)(x)=-8x-6}[/tex]

Step-by-step explanation:

[tex](f+g)(x)=f(x)+g(x)\\\\f(x)=-5x-4,\ g(x)=-3x-2\\\\\text{Substitute:}\\\\(f+g)(x)=(-5x-4)+(-3x-2)\\\\=-5x-4-3x-2\qquad\text{combine like terms}\\\\=(-5x-3x)+(-4-2)\\\\=-8x-6[/tex]

The temperature started at -12 degrees then increases by 8 degrees. This means that you can make an expression to solve this like so...

-12 + 8

When adding a positive number with a negative number you will act as if you are subtracting the two numbers, then take the sign of the largest number. In this case the largest number is 12 and its sign is negative. Your answer will  have a negative sign.

Act as if you are subtracting...

12 - 8 = 4

Take the sign of  the largest number (12)

-4 (third option)<<<This is the temperature now.

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

-4F

Step-by-step explanation:

We start at -12

We rise 8

-12 +8

-4

We will then be at -4

Answer:

The answer is the first one.

Step-by-step explanation:

What helped me figure this out was going to desmos.com which is a great site for graphing. If you put in the equations this should help you find the answer. I hope this helps love! :)

Answer: A. [tex]\dfrac{x^2}{100}+\dfrac{y^2}{64}=1[/tex]

Step-by-step explanation:

The equation of ellipse centered at origin is when the horizontal major axis (2a) and verticel minor axis (2b) is the major axis  :-

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]

From the given picture , [tex]a=10[/tex]

[tex]b=8[/tex]

Now, the equation of the given ellipse :-

[tex]\dfrac{x^2}{(10)^2}+\dfrac{y^2}{(8)^2}=1\\\\\Rightarrow\ \dfrac{x^2}{100}+\dfrac{y^2}{64}=1[/tex]

Answer:

b. 128°

Step-by-step explanation:

arc LJ = 2 (26) = 52°

arc KL = 180° (half circle)

so

arc JK = 360° - (arc LJ + arc KL)

arc JK = 360° - 232°

arc JK = 128°

Answer

b. 128°

Answer:

supplementary

Step-by-step explanation:

Angles 2 and 3 form a straight line.  Straight lines are supplementary

Answer:

Supplementary

Step-by-step explanation:

1 and 2 are vertical along with 3 and 4 they can't be complementary non of them form right angles but supplementary is a straight line making 180 degrees.

Answer:

[tex]P =4.83\%[/tex]

Step-by-step explanation:

First we calculate the number of possible ways to select 2 cards an ace and a card of 10 points.

There are 4 ace in the deck

There are 16 cards of 10 points in the deck

To make this calculation we use the formula of combinations

[tex]nCr=\frac{n!}{r!(n-r)!}[/tex]

Where n is the total number of letters and r are chosen from them

The number of ways to choose 1 As is:

[tex]4C1 = 4[/tex]

The number of ways to choose a 10-point letter is:

[tex]16C1 = 16[/tex]

Therefore, the number of ways to choose an Ace and a 10-point card is:

[tex]4C1 * 16C1 = 4 * 16 = 64[/tex]

Now the number of ways to choose any 2 cards from a deck of 52 cards is:

[tex]52C2 =\frac{52!}{2!(52-2)!}[/tex]

[tex]52C2 = 1326[/tex]

Therefore, the probability of obtaining an "blackjack" is:

[tex]P = \frac{4C1 * 16C1}{52C2}[/tex]

[tex]P = \frac{64}{1326}[/tex]

[tex]P = \frac{32}{663}[/tex]

[tex]P =0.0483[/tex]

[tex]P =4.83\%[/tex]

Answer:

Probability = 0.0483

Percentage = 4.83%

Step-by-step explanation:

We know that a blackjack hand played with one deck consists of:

1 of the 4 aces = [tex]\frac{4}{52}[/tex]

So 1 out of the 16 cards worth 10 points will be equal to = [tex]\frac{16}{52}[/tex]

Finding the probability of getting a blackjack hand assuming that the cards were not replaced:

P (blackjack hand) =  P(1st ace) × P(2nd 10 point card) +  P(1st 10 point card) × P(2nd ace)

P (blackjack hand) = [tex]\frac{4}{52} \times \frac{16}{51} + \frac{16}{52} \times \frac{4}{51}[/tex] = 0.04827

Percentage of getting blackjack hand = 4.83%

Answer:

Similarity cannot be determined ⇒ answer D

Step-by-step explanation:

* Lets revise the cases of similarity

1) AAA similarity : two triangles are similar if all three angles in the first

  triangle equal the corresponding angle in the second triangle

- Example : In ΔABC and ΔDEF, m∠A = m∠D, m∠B = m∠E and

 m∠C= m∠F then ΔABC ≈ ΔDEF by AAA

2) AA similarity : If two angles of one triangle are equal to the

   corresponding angles of the other triangle, then the two triangles

   are similar.

- Example : In ΔPQR and ΔDEF, m∠P = m∠D, m∠R = m∠F then

  ΔPQR ≈ ΔDEF by AA

3) SSS similarity : If the corresponding sides of two triangles are

   proportional, then the two triangles are similar.

- Example : In ΔXYZ and ΔLMN, if [tex]\frac{XY}{LM}=\frac{YZ}{MN}=\frac{XZ}{LN}[/tex]

  then the two triangles are similar by SSS

4) SAS similarity : In two triangles, if two sets of corresponding sides

   are proportional and the included angles are equal then the two

   triangles are similar.

- Example : In triangle ABC and DEF, if m∠A = m∠D and [tex]\frac{BA}{ED}=\frac{CA}{FD}[/tex]

  then the two triangles are similar by SAS

* Now lets solve the problem

- In the triangles ABC and DEF

∵ m∠B = m∠E = 105°

∵ AB/DE = 16/4 = 4

∵ AC/DF = 36/9 = 4

∴ AB/DE = AC/DF = 4

∴ The two pairs of sides are proportion

∵ ∠B and ∠E are not the including angles between the sides AB , AC

  and DE , DF

∵ We could not find the including angles from the information of the

  problem

∴ We cannot prove the similarity

* Similarity cannot be determined

Answer:

D- can't be determined

Step-by-step explanation:

a p e x work

Answer:

1698

Step-by-step explanation:

Answer:

They would need 1698 dominoes to complete the chain.

Step-by-step explanation:

all you would do is subtract 2,505 by 807 and you would get the same answer.

Hi there! My name is Zalgo and I am here to help you out today. When you multiply (x2-5x) (2x+x-3), you will get 3x^3-18x^2+15x.

I hope that this info helps! :)

"Stay Brainly and stay proud!" - Zalgo

(By the way, can you mark me Brainliest? I'd greatly appreciate it! Thank you! XP)

Answer:

9

Step-by-step explanation:

(9*3) = 27 which is 20 more than 7

Answer: 9

Step-by-step explanation:

Answer:

The quotient is 3x-8

Step-by-step explanation:

(6x^2-x-40)÷ (5 + 2x)

The above equation can be written as

(6x^2-x-40)÷ (2x + 5)

The division is shown in the figure below.

The quotient is 3x-8

Answer:

(6x^2-x-40)÷ (5 + 2x)

The above equation can be written as

(6x^2-x-40)÷ (2x + 5)

The division is shown in the figure below.

The quotient is 3x-8

Step-by-step explanation:

Answer: Yes A is correct

Step-by-step explanation:

Multiply the first equation by 3...

2x+3y=k+1 needs to be subtracted by 3x+3y=3k

which equals -x=-2k-1

Then you can multiply the equation by -1 to make them all positive. Resulting in x=2k+1

The correct option is c.

To solve the given simultaneous linear equations x + y = k and 2x + 3y = k + 1 using the elimination method, multiply the equations by suitable constants to eliminate one variable. The values of x and y in terms of k are x = 2k - 1 and y = 1 - k.

To solve the given simultaneous linear equations x + y = k and 2x + 3y = k + 1 using the elimination method, we can eliminate one variable by multiplying the equations by suitable constants. Let's multiply the first equation by 2 and the second equation by -1 to eliminate x.

2x + 2y = 2k

-2x - 3y = -k - 1

Adding these equations together, we get:

2y - 3y = 2k - (k + 1)

-y = k - 1

Multiplying both sides by -1:

y = 1 - k

Substituting this value of y back into the first equation:

x + (1 - k) = k

x = 2k - 1

So, the values of x and y in terms of k are x = 2k - 1 and y = 1 - k.

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Answer:

8.1 ft

Step-by-step explanation:

hyp² = side² + side²

hyp² = 7² + 4²

hyp² = 49 + 16

hyp² = 65

hyp = sqrt of 65

hyp = 8.1 ft

PLEASE DO MARK ME AS BRAINLIEST UWU

Answer:

[tex]\large\boxed{\sqrt{65}\ ft}[/tex]

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have

[tex]leg=4ft,\ leg=7ft,\ hypotenuse=AB[/tex]

Substitute:

[tex]AB^2=4^2+7^2\\\\AB^2=16+49\\\\AB^2=65\to AB=\sqrt{65}[/tex]

Despite different rental costs, the rental costs for company A and company B will be the same, after 50 miles.

To solve this, we need to set up an equation based on their pricing structures and solve for the number of miles.

Let m represent the number of miles driven. The cost for company A would be $40 + $0.30m, and the cost for company B would be $20 + $0.70m.

We set these two expressions equal to each other to find the breakeven point:

$40 + $0.30m = $20 + $0.70m

Subtracting $0.30m from both sides gives us:

$40 = $20 + $0.40m

Next, we subtract $20 from both sides:

$20 = $0.40m

Dividing both sides by $0.40, we get:

m = 50

Answer:

C. f(x)=3(1/2)^x

Step-by-step explanation:

standard form of a function is f(x)=ab^x

a should be 3, or the y value where the x value is 0

the b value is 1/2 because that's the rate of change

Answer:

The scale factor is 2

Step-by-step explanation:

AB -->A'B' : enlargement , scale factor is greater than 1

From QA to QA' : 1.25 to 2.5 so the ratio is 1:2

The scale factor is 2

Answer:

5.87

Step-by-step explanation:

29.35/x=100/20

(29.35/x)*x=(100/20)*x       - we multiply both sides of the equation by x

29.35=5*x       - we divide both sides of the equation by (5) to get x

29.35/5=x

5.87=x

x=5.87

Answer:

$5.87

Step-by-step explanation:

20% = 20/100 = 1/5

hence 20% tip,

= 20% of the total cost

= 1/5 x $29.35

= $5.87

Answer:

A=280in^2

Step-by-step explanation:

3*3=9

A=2LW+2WH+2LH

A=2(8*4)+2(4*9)+2(8*9)

A=2(32)+2(36)+2(72)

A=64+72+144

A=280in^2

Answer:

a negative multiplied or divided by negative is positive. if its adding or subtracting it takes sign of the bigger number. and it dividing so the number is not going to get bigger. so its positive 7

[tex]\text{Hey there!}[/tex]

[tex]\text{Since, both of your terms (-42 and -6) are negative, we know that your answer}[/tex] [tex]\text{will most likely be a POSITIVE number}[/tex]

[tex]\text{Because. negative \& negative makes positive!}[/tex]

[tex]\text{-42}\div\text{(-6)}=\dfrac{-42}{(-6)}=42\div6=7[/tex]

[tex]\boxed{\boxed{\text{Answer: C. 7}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

6w + 7

Step-by-step explanation:

There is nothing to simplify. Just remove the parentheses.

Answer:

[tex] a_1 = -2;~a_n = -2a_{n - 1}, ~n \ge 2 [/tex]

Step-by-step explanation:

The first number in the sequence, [tex] a_1 [/tex], is -2.

Each number after that is the previous number multiplied by -2.

[tex] a_1 = -2 [/tex]

[tex] a_2 = a_1 \times (-2) = -2 \times (-2) = 4 [/tex]

[tex] a_3 = a_2 \times (-2) = 4 \times (-2) = -8 [/tex]

etc.

[tex] a_n = -2a_{n - 1} [/tex]

We start by stating that [tex] a_1 = -2 [/tex].

Now we need to show that for all n greater than or equal to 2, each number in the sequence is the previous number multiplied by -2.

[tex] a_n = -2a_{n - 1} [/tex]

Answer:

[tex] a_1 = -2;~a_n = -2a_{n - 1}, ~n \ge 2 [/tex]

A recursive formula represents the relationship between each term and the ones before it. In the given geometric sequence (-2, 4, -8, 16,...), each term is -2 times the preceding term, hence the recursive formula is [tex]a_{n} = -2a_{n-1}[/tex] for n>1.

The given sequence is -2, 4, -8, 16, ..., which is an example of a geometric sequence. In a geometric sequence, each term after the first is found by multiplying the previous term by a fixed, non-zero number called the 'common ratio'.

Looking at the pattern, we notice that each term is -2 multiplied by the prior term. Therefore, the recursive formula for this sequence is [tex]a_{n} = -2a_{n-1}[/tex] where 'an' represents the nth term and 'an-1' represents the previous term, and n > 1.

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Answer:

B. y=-2+x and 2y-2x=-2

Step-by-step explanation:

Two lines are parallel if they have the same slope.

The equation 0of a line is tipically written as y=mx + b, where 'm' represents the slope and 'b' the y-intercept.

Let's evaluate each of the options:

A. y=4x+1 and y+4x=5

Writing the equations in the slope-intercept form, we get:

y=4x+1 → m=4

y=5-4x → m=-4

Given that they have different slopes, they are not parallel.

B. y=-2+x and 2y-2x=-2

Writing the equations in the slope-intercept form, we get:

y=-2+x → m=1

y=-1 + x → m=1

Given that the equations have the same slope, they are parallel.

C. y=1/4x + 2 and y-2=1/2x

Writing the equations in the slope-intercept form, we get:

y=1/4x + 2  → m=1/4

y=1/2x+2 → m=1/2

Given that they have different slopes, they are not parallel.

D. y=1/5x+1 and 5y+x= 10

Writing the equations in the slope-intercept form, we get:

y=1/5x+1 → m=1/5

5y+x= 10 → y=2 - 1/5x → m=-1/5

Given that they have different slopes, they are not parallel.

Answer:

The inequality [tex]5x-3y >15[/tex] have a dashed line

Step-by-step explanation:

we have

[tex]5x-3y >15[/tex]

The solution of this inequality is the shaded area below the dashed line

The equation of the dashed line is [tex]5x-3y=15[/tex]

The slope of the dashed line is positive

The y-intercept of the dashed line is -5 ---> point (0,-5)

The x-intercept of the dashed line is x=3 ----> point (3,0)

Graph the solution

see the attached figure

For this case we have the following equation:

[tex]2x-1 = 3[/tex]

If we add 1 to both sides of the equation we have:

[tex]2x = 3 + 1\\2x = 4[/tex]

Dividing between 2 on both sides of the equation we have:

[tex]x = \frac {4} {2}\\x = 2[/tex]

The graph of the solution is shown in the attached figure.

Answer:

See attached image

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

we have

[tex]3x-\frac{1}{9}y=18[/tex]

Substitute the value of y=27 in the equation and find the value of x

so

[tex]3x-\frac{1}{9}(27)=18[/tex]

[tex]3x-3=18[/tex]

[tex]3x=18+3[/tex]

[tex]3x=21[/tex]

[tex]x=7[/tex]