Given that f(x)=x-5 g(x)=5x and h(x)=-f(x+1)-3g(x-1), then what is the value of h(3)?

please show step by step answer.

Answers

Answer 1

Answer:

Step-by-step explanation:

f(x) = x - 5 and g(x) = 5x

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

- 3g(x - 1 ) = - 3 [ 5 (x - 1)] = 15 - 15x

h(x) = 4 - x + 15 - 15x = 19 - 16x

h(3) = 19 - 16(3) = - 29


Related Questions

If the population of Centertown is currently 4,600 and it grows by 200 people each year, when will the population double?​

Answers

After 23 years

hope this is helpful!

There is 1 man and 9 women running a race. What is the ratio of the number of female runners to the total number of runners?

Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.

Answers

Answer:

9/1

Step-by-step explanation:

For every 9 women, there is 1 man

The water level in a tank measures 15 inches and is decreasing 0.5 inches every
minute.
How many minutes, x, will it take for the water level to measure 9 inches deep?

Answers

Answer:

The answer is 12 minutes

Step-by-step explanation:

This is because if you're seeing how long it takes to get from 15 inches to 9 inches, that is a difference of 6 inches.

6 / 0.5 inches per minute = 12 minutes

The tank would take time of 12 minutes for the water level to measure 9 inches deep.

What is the two-step problem?

A two-step problem is a word problem that must be addressed in two steps. While many of these questions have only one step, a two-step word problem requires the solution of two separate equations.

Two separate operations (like multiplication and addition) or two of the same operation may be utilized in the two-step word problem (like subtraction and subtraction).

Given a tank measurement of 15 inches, it shrinks by 0.5 inches per minute.

We must calculate the minute when the water level reaches 9 inches deep.

The difference in inches is 6 inches.

15 inches - 6 inches = 9 inches

Calculating for minutes,

⇒ 6 / 0.5

⇒ 12 minute

Therefore, the tank would take time of 12 minutes for the water level to measure 9 inches deep.

To learn more about the two-step problem click here :

brainly.com/question/26119747

#SPJ5

Kelsey went to the donut shop before work. The ratio of chocolate donuts to sprinkled donuts that she bought is 3 to 4. If Kelsey bought a total of 21 donuts, how many of the donuts were sprinkled

Answers

Answer:

she'd have 16 sprinkled donuts

Which is a solution to the following system of inequalities?

A. (6,6)
B. (7,8)
C. (8,7)
D. (9,7)

Answers

Answer: the answer is D

Step-by-step explanation: - 2 *9 + 3* 7 = 3

-5 *9 + 6 * 7 = - 3

And 3>1

-3<1

please help i need this rn!! ( please tell me how much boxes I color)

Answers

There is nothing that I see that I can tall you the answer

PLEASE HELP ME (third times the charm)!!!!!!!

Answers

Answer:

the first option i think

the graph of linear function g is shown on the grid

what is the zero of g

-6
-9
0
-5

Answers

Answer:

Option A, - 6

Step-by-step explanation:

The zero of a function is the value on the x-axis when y is 0

Answer:

the answer is -9

Step-by-step explanation:

the answer is -9 becaise

A. (7)
Write an equation of a line that is perpendicular to y = 2/3 X + 8 and has a y-intercept of
2.
Answer in slope-intercept form
B. and write the following equation in slope intercept form y + 21 = x - 15

Answers

Described high mining link mph log no bugs bugs

if the two coffee shops combine their supplies, how many stirrers will they have for tousday?

Answers

Answer:

50?

Step-by-step explanation:

it's 50 20+25i don't even know if this is the correct answee

I need help ASAP …………….

Answers

Answer:

for me the answer is y=0.17x+2

not sure

correct me if im wrong

love ya

Step-by-step explanation:

#brainly

HELP!! Scaler multiplication of vectors in component form

Answers

Answers:

<-6,8> <-3,3> <12,12> <21,4> <18,22> <17,30> <-36,-38> <16,20>

===========================================================

Work Shown:

Problem 1

u = <-3,4>

2u = 2*<-3,4>

2u = <2(-3), 2(4)>

2u = <-6,8>

Effectively, we multiplied each coordinate by 2.

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

Problem 2

g = <-1,1>

3g = 3*<-1,1>

3g = <3(-1),3(1)>

3g = <-3,3>

Same idea as problem 1, but we tripled each coordinate.

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

Problem 3

z = <-3,-3>

-4z = -4*<-3,-3>

-4z = <-4(-3),-4(-3)>

-4z = <12,12>

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

Problem 4

v = <6,8>

2v = <12,16> .... double both coordinates

u = <-3,4>

3u = <-9,12> .... triple both coordinates

2v-3u = <12,16>-<-9,12>

2v-3u = <12-(-9),16-12>

2v-3u = <12+9,16-12>

2v-3u = <21,4>

I subtracted the corresponding coordinates.

The general rule is <a,b>-<c,d> = <a-c,b-d>

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

Problem 5

y = <1,1>

6y = <6,6> .... multiply each coordinate by 6

v = <6,8>

2v = <12,16>

6y+2v = <6,6>+<12,16> = <6+12,6+16> = <18,22>

This time we add the corresponding coordinates after scaling up the given vectors.

The general rule is <a,b>+<c,d> = <a+c,b+d>

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

Problem 6

u = <-3,4>

v = <6,8>

3v = <18,24>

y = <1,1>

2y = <2,2>

u+3v+2y = <-3,4>+<18,24>+<2,2>

u+3v+2y = <-3+18+2,4+24+2>

u+3v+2y = <17,30>

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

Problem 7

g = <-1,1>

4g = <-4,4>

y = <1,1>

A = 4g+y = <-4,4>+<1,1> = <-4+1,4+1> = <-3,5>

z = <-3,-3>

v = <6,8>

5v = <30,40>

B = z-5v = <-3,-3> - <30,40> = <-3-30,-3-40> = <-33,-43>

A+B = <-3,5>+<-33,-43> = <-36,-38>

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

Problem 8

u = <-3,4>

v = <6,8>

2v = <12,16>

A = u+2v = <-3,4>+<12,16> = <-3+12,4+16> = <9,20>

w = <8,-1>

g = <-1,1>

B = w+g = <8,-1>+<-1,1> = <8+(-1),-1+1> = <7,0>

A+B = <9,20>+<7,0> = <9+7,20+0> = <16,20>

Solve for a
1/12 a +21 = 25

Answers

Hope This Helped!

Step-by-step explanation:

First off we need to take the whole equation and multiply it so that we can get rid of the fractioned exponent. The number we would use is 12, giving us the new equation: a + 252 = 300. We then can subtract 252 from both sides of the equation, to get the exponent by itself and intentionally create an answer. This would be: a + 252 = 300,-252=48 or a = 48

We are left with A being equal to 48.

[tex]\dfrac 1{12} \cdot a +21 = 25\\\\\\\implies \dfrac a{12} = 25-21\\\\\\\implies \dfrac a{12} =4 \\\\\\\implies a = (12)(4) = 48[/tex]

Find the m, b, and write the equation for the following graph:

Answers

Answer:

y = 3, m=0, b=3

Step-by-step explanation:

Hi there! If you look at the graph, we have a horizontal like crossing through y=3. your m value will be 0 as there is no slope. For your b value, it will be 3 as the y-intercept is 3.

I hope this helps!

find the ratio of : 800 ml to 4.8 litres​

Answers

Answer:

The ratio is [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

We have

[tex]\frac{800mL}{4.8L} \\\\\frac{0.8L}{4.8L}\\\\\frac{1}{6}[/tex]

Find the area between f(x) = 3x and f(x) = x2 on the interval (0,3]

Answers

Answer:

[tex]A=4.5[/tex]

Step-by-step explanation:

The area between two curves over the interval [tex][a,b][/tex] is [tex]A=\int\limits^b_a {f(x)-g(x)} \, dx[/tex] where [tex]f(x)[/tex] is the upper function and [tex]g(x)[/tex] is the lower function.

Therefore:

[tex]A=\int\limits^3_0 {3x-x^2} \, dx[/tex]

[tex]A=\frac{3}{2}x^2-\frac{x^3}{3}\Big|_0^3[/tex]

[tex]A=[\frac{3}{2}(3)^2-\frac{(3)^3}{3}]-[\frac{3}{2}(0)^2-\frac{(0)^3}{3}][/tex]

[tex]A=\frac{3}{2}(9)-\frac{27}{3}[/tex]

[tex]A=\frac{27}{2}-\frac{27}{3}[/tex]

[tex]A=\frac{9}{2}[/tex]

[tex]A=4.5[/tex]

So, the area between [tex]f(x)=3x[/tex] and [tex]g(x)=x^2[/tex] on the interval [tex](0,3][/tex] is [tex]4.5[/tex] square units.

Can some help me i don't understand how to do this math!!

Answers

Answer:

Step-by-step explanation:

[tex]\frac{x}{(x-2)^{2} } -\frac{x}{(x-2)(x-1)} = \frac{x^{2}-x-x^{2} +2x }{(x-2)^{2}(x-1) }[/tex]

? = 2x -x = x

can someone plz help me I need the answer asap ​

Answers

Answer:

no. c is the correct answer

simplify √20 x √5

10
4√5
√10

Answers

10
20*5=100
Root of 100 is 10

How do you write an equation of a line given y-intercept -8 and slope 3/4

Answers

Answer:

[tex]y = \frac{3}{4} x-8[/tex]

Step-by-step explanation:

You can us the equation y = m x + c to answer this question.

In ,

y = m x + c

m = slope

c = y - intercept

So, they have already given in the question that,

m = 3/4

c = (-8)

Therefore, you can simply put 3/4 and (-8) instead of m and c respectively like this.

y = m x + c

y = 3/4x - 8

Hope this helps you.

Let me know if you have any other questions :-)

Which of the following is a square root of -18 ?

Answers

Answer:

It should be [tex]3\sqrt{2} i[/tex]

Step-by-step explanation:

Answer:

4.242.....

Step-by-step explanation:

Hope this helped!

Please help me with this math problem!! I will give brainliest!! NO LINKS PLEASE!! :)

Answers

Answer:

  (-4, 0)

Step-by-step explanation:

The midpoint M of segment AB is found by averaging the coordinates of the end points:

  M = (A +B)/2

Solving this for point B, we find ...

  2M = A +B

  2M -A = B

Then the other end point is ...

  2(2, -4) -(8, -8) = (4 -8, -8 -(-8)) = (-4, 0)

The other end point is (-4, 0).

Jameson Middle School gives bottles of water to teachers and students who are going on a field trip. The school orders 500 bottles of water. They plan to give 35 bottles of water to teachers. They ordered at least 2 bottles of water for each student. How many students could be going on the field trip? Show your work.

Answers

Answer:

up to 232

Step-by-step explanation:

Let x = number of students

The number of bottles for the students is 2x since they give 2 bottles per student.

2x + 35 = 500

2x = 465

x = 232.5

Answer: 232

Take the greatest possible factor out of the square root.
Square root of 80

Answers

Answer:

4.

Step-by-step explanation:

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. Furthermore, the greatest perfect square on this list is 16 and the square root of 16 is 4.

The greatest factor of 80 is

We have to determine, the greatest possible factor out of the square root of 80.

According to the question

The square root of the greatest perfect square from the list of all factors of 80.

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.

The greatest perfect square on this list is 16 and the square root of 16 is 4.

To determine the greatest square root of 80 following all the steps given below.

The square root of 80,

[tex]\rm = \sqrt{80} \\\\= \sqrt{2\times 2\times 2 \times 2\times 2\times 5} \\\\= 2 \times 2\times \sqrt{5} \\\\= 4\sqrt{5}[/tex]

Hence, The greatest factor of 80 is 4.

For more details refer to the link given below.

https://brainly.com/question/20354909

what is .9 repeating as a fraction

Answers

There is no answer to this because:

Any digit repeating like that would usually be ?/9

Example: 0.1 repeating = 1/9

                0.2 repeating = 2/9

                0.8 repeating = 8/9

But 0.9 repeating? There should not be a fraction for that.

If you want to round up to 1, you can.

Please help! If you do tysm!!

Answers

Answer:

32 days

Step-by-step explanation:

5 divided by 2 is 2.5, which means 2.5 gallons will leak per day. 80 divided by 2.5 is 32 which means it will take 32 days for the bucket to completely leak out.

hope that's right <3

Find the area of each figure

Answers

Answer:

18

Step-by-step explanation:

6*6/2

ok sooo um another post again hahahaha
but anyways, to the question.

Explain the meaning of the inequality statement in terms of distance from a starting point in a real world setting.

20.2 miles > 17.6 miles​

Answers

Answer:

Enter a value for a so that the system of equations shown has infinitely many solutions.

y = −5x + 9y =    ax + 9

Step-by-step explanation:

Complete the sentence below.
If 8^x= 8^3, then x =

Answers

[tex]8^x = 8^3\\\\\implies \ln(8^x) = \ln(8^3)\\\\\implies x \ln(8) = 3 \ln (8)\\\\\implies x = 3\\\\[/tex]

How here we get 2 x 22 x 10

And how we multiply the formula of pi with any number

Answers

Answer:

The formula of pi is approximately 3.14 2×3.14

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