What is the 15th term of the sequence an =
-3n+50
D. 95

The solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).

We have a graphical representation of two functions f(x) and g(x) and where they intersect.

We have to solve the equation f(x) = g(x)

The total number of solutions can be calculated by counting the points at which these curves intersect each other. Hence, the total number of possible solutions are 3.

In the question given - We have a straight line and a parabola -

Now, we just have to look at the points at which these two graphs intersect each other. It can be seen that - both the graphs cut each other at coordinates - (4, 8) and (-2, 2).

Hence, the solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).

Alternative Method -

The general equation of straight line is : y = mx + c and that of parabola is : y = [tex]\sqrt{4ax}[/tex]

The solution can be calculated by equating both of the above expressions and solving them.

mx + c = [tex]\sqrt{4ax}[/tex]

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Answer:

9?

Step-by-step explanation:

Answer:

sorry dont understaand

Step-by-step explanation:

Answer:

Option C is the only correct answer.

Step-by-step explanation:

We can see from the number line that a is to the left of zero, so it is negative. This means option A is incorrect.

Since b is to the left of zero, b is also negative. This means that -b is positive. Since c is to the left of zero, c is negative. Therefore, option B is incorrect: a negative number can never be greater than a positive number.

We see from the number line that a is less than c. Since both a and c are negative, this implies that -a > -c. Therefore, option C is correct.

Answer:

-5 is the y intercept

Step-by-step explanation:

Answer:

its gonna be whatever the y value is when x is 22

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

5(2) + 2(4 + 3)

5 x 2 + 2 x 7

10 + 14 = 24

Here you go! :D

Answer:

B:9

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

To give the same amount of stamps to each student you would divide 67 by 8. Dividing would give each students 8 stamps because you can only equally divide it to 64 (EX, 64/8=8). This leaves you with 3 stamps leftover, because we only used 64 equally and 67-64=3.

Answer:

He can give each of his students 8 stamps.

With 3 stamps left over.

Step-by-step explanation:

Hope this helps!

Answer:

B

Step-by-step explanation:

To make the perfect square the first step is  Subtract 40 from both sides option (A) is correct.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

The complete question is:

Which is the best first step to solve 5x²+12x = 40 by completing the square?

We have a quadratic equation:

5x²+12x = 40

To make the perfect square:

First, subtract 40 from both sides.

5x²+12x - 40 = 40 - 40

5x²+12x - 40 = 0

Thus, to make the perfect square the first step is  Subtract 40 from both sides option (A) is correct.

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Answer:

Letter D

Step-by-step explanation:

D KO PO SURE SORRY PO KUNG MALI ✌

Answer:

The answer for the length of the rectangle in terms of x is 2x+1=26

Step-by-step explanation:

Answer:

17, 20, 23, 26, 29, 32,

Step-by-step explanation:

Answer:

17, 20, 23, 26, 29, 32, 35....

Step-by-step explanation:

cause that's how math was made

"don't have a good day, have a great day"

-Guy

Answer:

25

Step-by-step explanation:

maybe this will help you

Answer:

C. 125 cm^3

Step-by-step explanation:

Hope this helps!! Brainliest please :)

Answer:

[tex]R= 2.6[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 40e^{.06t[/tex]

[tex][a,b] = [0,3][/tex]

Required

Determine the average rate of change (R)

This is calculated as follows:

[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex]a = 0[/tex] and [tex]b = 3[/tex]

Substitute 0 for a and 3 for b

[tex]R = \frac{f(3) - f(0)}{3 - 0}[/tex]

[tex]R = \frac{f(3) - f(0)}{3}[/tex]

[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]

Calculate f(3)

[tex]f(x) = 40e^{.06t[/tex]

[tex]f(3) = 40e^{.06*3}[/tex]

[tex]f(3) = 40e^{0.18}[/tex]

[tex]f(3) = 40 * 1.197[/tex]

[tex]f(3) = 47.88[/tex]

Calculate f(0)

[tex]f(x) = 40e^{.06t[/tex]

[tex]f(0) = 40e^{.06*0}[/tex]

[tex]f(0) = 40e^{0}[/tex]

[tex]f(0) = 40*1[/tex]

[tex]f(0) = 40[/tex]

So, the expression:

[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]

[tex]R= \frac{1}{3}[47.88 - 40][/tex]

[tex]R= \frac{1}{3}[7.88][/tex]

[tex]R= 2.62666666667[/tex]

[tex]R= 2.6[/tex]

Hence, the average rate of change is approximately 2.6

Answer:

A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.

Speed = distance / time

Distance = speed × time

Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be

4 × 63 = 252 kilometers.

if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be

Time = distance / speed

= 252/56 = 4.5 hours

The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.

Let speed = s and let time = t

s varies inversely with t

Introducing constant of inverse variation k, it becomes

s = k/t

When s = 56, t = 4.5

56 = k/4.5

k = 4.5 × 56 =252

This is the distance

Step-by-step explanation:

Answer:

6 movies = 1st plan

7 movies = 1st plan

8 movies = Either is fine. (They're the same price)

9 movies = 2nd plan

10 movies = 2nd plan

Step-by-step explanation:

6 movies (1st plan) = 20 + 5 × 6

                               = 50 (less than 60 so it is cheaper)

7 movies (1st plan) = 20 + 5 × 7

                               = 55 (less than 60 so it is cheaper)

8 movies (1st plan) = 20 + 5 × 8

                               = 60 (same as 2nd plan so either is fine)

9 movies (1st plan) = 20 + 5 × 9

                               = 65 (more than 60 so 2nd plan is better)

10 movies (1st plan) = 20 + 5 × 10

                               = 70 (more than 60 so 2nd plan is better)

Answer:

I think the answer is A

Step-by-step explanation:

makes sense

Answer:

the answer is B. $36 for working 4 hours

Step-by-step explanation:

took the test.

Answer:

B

Step-by-step explanation:

the first person was right i also got it on the test

Answer:

1/3 of chance

The probability that you will roll doubles will be 1/36.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that you have two six-sided dice where each side is equally likely to land face up when rolled.

The favourable outcomes are {2,2} = 1.

Total outcomes = 36

The probability will be calculated as,

Probability = 1 / 36

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Answer:

2 (2 x - 3)

Step-by-step explanation:

Simplify the following:

2 (4 x - 3) - 3×3 x + 5 x

-3×3 = -9:

2 (4 x - 3) + -9 x + 5 x

Grouping like terms, 2 (4 x - 3) - 9 x + 5 x = 2 (4 x - 3) + (5 x - 9 x):

2 (4 x - 3) + (5 x - 9 x)

5 x - 9 x = -4 x:

2 (4 x - 3) + -4 x

2 (4 x - 3) = 8 x - 6:

8 x - 6 - 4 x

Grouping like terms, 8 x - 4 x - 6 = (8 x - 4 x) - 6:

(8 x - 4 x) - 6

8 x - 4 x = 4 x:

4 x - 6

Factor 2 out of 4 x - 6:

Answer: 2 (2 x - 3)

Answer:

(3, 60) (5, 100) (8, 160) (9, 180) (12, 240)

Step-by-step explanation:

Answer:

The answer is: 37

Step-by-step explanation:

The reason its this answer because first thing you have to do is the order operations Please Excuse My Dear Aunt Sally, since there is no parenthesis, or exponents we cross those out. Since, there is multiply we put in -14 where is x.

-3x-5=-3(-14)=5

Next, we multiply -3 and -14 and we get:

42, there reason its not a negative because two negatives equal to a positive.

There is Division or Addition, those are out. The only thing that is left Subtraction... So we are going to subtract 42-5 which equals;

37

I hope my answer helps!!

Answer:

r=144

Step-by-step explanation:

Cross multiply:

12 * 60 = r * 5

Simplifying

12 * 60 = r * 5

Multiply 12 * 60

720 = r * 5

Reorder the terms for easier multiplication:

720 = 5r

Solving

720 = 5r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-5r' to each side of the equation.

720 + -5r = 5r + -5r

Combine like terms: 5r + -5r = 0

720 + -5r = 0

Add '-720' to each side of the equation.

720 + -720 + -5r = 0 + -720

Combine like terms: 720 + -720 = 0

0 + -5r = 0 + -720

-5r = 0 + -720

Combine like terms: 0 + -720 = -720

-5r = -720

Divide each side by '-5'.

r = 144

Simplifying

r = 144

Answer:

r=144

Step-by-step explanation:

We need to find r. To do that me must make the top numbers the same.

We'll multiply

[tex] \frac{12}{r} \times \frac{5}{5 } = \frac{60}{5r} [/tex]

[tex] \frac{5}{60} \times \frac{12}{12} = \frac{60}{720} [/tex]

Since the top numbers are equal that means the bottoms are too.

So we can create the equation:

[tex]5r = 720[/tex]

Divide each side by 5

r=144

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

the second one

Step-by-step explanation:

Answer:

2nd

Step-by-step explanation:

The 2nd one is the correct one because it is true and that is the best way to get your solution.

Hope this helps:)

Pls mark brainly

Answer:

10.80

Step-by-step explanation:

12% of $9 dollars is $1.08 rounded is 1.080

btw if this was a real job id quit even though im in 6th

The minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

You are going to attend night classes for 4 months. You have to earn an additional $987 for tuition within this time.

You decide to take a second job that pays $9 dollars an hour.

Taxes are 12% of your earnings, and you are able to save the rest.

Let x be the minimum number of hours you will need to work in order to save enough money for your tuition alone.

From the data given, we can frame a linear equation in one variable.

987 = 9x - 12% of 9x

987 = 9x - (0.12)(9)x

987 = 9x - 1.08x

7.92x = 987

x = 987/7.92

x = 124.62 ≈ 125 hours

Thus, the minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.

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Answer:

2

Step-by-step explanation:

the two sides are 3 and its equal to 8..its 2

Answer: no solution

Hope this helps and good luck :)

Step-by-step explanation:

Answer:

2 rows of 41

Step-by-step explanation:

....... i think

I have the same question, and I have nothing in my brain....-_-''

Answer:

400 ; 720

Step-by-step explanation:

Given that :

My score = 5 point for every 9 points scored by my friend ; hence my score is always 4 points less than my friend's score.

Let number of shot = x

Also my score x is 320 less than my friend's score

Hence after x shots

My score = friend's score - 320

5x = 9x - 320

5x - 9x = - 320

-4x = - 320

x = 80

Hence ;

My score = 5x = 5* 80 = 400

My &friend's score = 9 * 80 = 720

Answer:

zeros of the function are −2 and 3

Step-by-step explanation:

there is no -2 so H.3