Mathematics High School

Composite functions
g(d) = 2d - 5
h(d) = -4d +3
Find (hºg)(d)

Answers

Answer 1

Answer:

[tex](h\circ g)(d)=-8d +23[/tex]

Step-by-step explanation:

Composite Function

Given g(d) and h(d) real functions, the composite function named (hog)(d) is defined as:

[tex](h\circ g)(d)=h(g(x))[/tex]

For practical purposes, it can be found by substituting g into h.

The functions g and h are given as:

[tex]g(d) = 2d - 5[/tex]

[tex]h(d) = -4d +3[/tex]

Substituting g into h:

[tex](h\circ g)(d)=-4(2d - 5) +3[/tex]

Operating:

[tex](h\circ g)(d)=-8d +20 +3[/tex]

[tex]\boxed{(h\circ g)(d)=-8d +23}[/tex]

Related Questions

Write an equation of the line that passes through point (−3, 8) and has the slope m=−2.

Answers

Answer:

y=-2x+8

Step-by-step explanation:

slope formula is y=mx+b

slope(m)=-2, and y-value(b)=8

so ya just plug in what ya know to get y=-2x+8

The equation of the line that passes through point (−3, 8) and has the slope m=−2 is [tex]y=-2x+2[/tex]

What Is y = mx + c?The slope-intercept form of the equation of the line is represented by the equation y = mx + c. It requires the line's y-intercept and slope value, "m." We must first comprehend the line's slope m and y-intercept in order to comprehend this equation for the line.Slope: The letter "m" stands for the line's gradient or slope. The slope here could be zero, positive, or negative. With reference to the x-axis, the tangent of this line's angle of inclination can likewise be used to compute the slope.Intercept: The term "intercept" in this equation refers to the value "c," which is the line's starting point. The length of the line's y-axis intersection, measured from the origin, is known as the intercept. It can also be thought of as the line's intersection point at (0, c) on the y-axis.The slope formula can be used to create the equation y = mx + c. Here, we choose a random point (x, y) on the line and a point (0, c) on the y-axis. We try to determine the slope'm' of the line using these two points. The slope of the line is equal to the difference between the two points' y coordinates divided by the difference between their x coordinates.m = (y - c)/(x - 0) mx = y - c and m = (y - c)/xy = mx + c So, using the formula for the slope of a line, we can successfully deduce the slope-intercept form of the equation of a line.

Given, x= -3, y = 8 and m = -2

usiny y =mx+c

we get,

8 = -2*-3+c

8 = 6+c

c = 8-6 = 2

Therefore, The equation of the line that passes through point (−3, 8) and has the slope m=−2 is [tex]y=-2x+2[/tex]

To learn more about slope-intercept, refer to

https://brainly.com/question/25722412

#SPJ2

answer question showing work 6 − 4n <− 1 − 4n

Answers

Answer:

There are no solutions.

Step-by-step explanation:

6−4n<−1−4n

Step 1: Simplify both sides of the inequality.

−4n+6<−4n−1

Step 2: Add 4n to both sides.

−4n+6+4n<−4n−1+4n

6<−1

Step 3: Subtract 6 from both sides.

6−6<−1−6

0<−7

At Joe's Clown Car Rental Agency, renting a car costs $45 plus $0.75 for every mile it is driven. What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

Answers

Answer:

y=0.75m+45

Step-by-step explanation:

when you bought the car it was 45, that doesnt change so its a constant

but every mile you drive, it changes, therefore it becomes the dependent or the rate :)

so we just make it into an equation of

y=0.75m+45

where y= the total amount of money owed

and if you wanted to solve for how far the car drove, plug in the 222.5 in for y, as that was the amount owed and solve!

222.5=0.75m+45

177.5=.75m

now divide by .75

m= 236 2/3 miles

hope this helped :))

What is the value of k?​

Answers

Answer:

10

Step-by-step explanation:

(4k+5) + (6k+10) = 115

10k+15=115

10k=100

k=10

Answer:

Step-by-step explanation:

(4k+5) + (6k+10) = 115

10k + 15 = 115

10k = 100

k = 10

note: the measure of an ext. angle of a triangle is equal to the sum of the two non-adjacent interior angles.

What clockwise rotation will create the same image as 70 degree counterclockwise

Answers

Answer:

Duh , 70

Step-by-step explanation:

Here' a another graph if someone can please help me solve

Answers

Step-by-step explanation:

hye how are you ☺️ plz follow me I don't know this question sorry

There are 13 boys and 17 girls in grade 7.
is the ratio of boys to girls in grade 7​

Answers

Answer: 13:17

Step-by-step explanation: boys:girls

A 4 1/2 pound bag of raisins must be divided equally into 1/4 pound portions for a cooking class. Enter the number of 1/4 pound portions that can be made from 4 1/2 pounds of raisins. ​

Answers

Answer:

18

Step-by-step explanation:

1/4 x 4 1/2 = 18

kkduegvdbdgusjbwvsusokwvrgsubevbeksh

Last year the depth of the river was 4.2 feet deep.

This year it dropped 8%.

Find the depth of the river this year
HELP ME PLSS !!!

Answers

Answer:

should be around 3.9 exact answer is 3.864

Step-by-step explanation: subtract the percentage from the original depth

Which point in the graph represents the y-intercept?

Answers

(0,2) represents the y intercept on the graph cause at that point it crosses the y axis

63.7786879082 rounded to the nearest tenth

Answers

Answer:

63.8

Step-by-step explanation:

63.77 so you look at the hundredths 5 or higher round up

63.8 is the required answer

The given number is 63.7786879082, we have to round to the nearest tenth

How to round nearest 10th?

To round the decimal number to its nearest tenth, look at the hundredth number. If that number is greater than 5, add 1 to the tenth value.

63.7786879082

We can see that 100th number i. e 7 is greater than 5, so add 1 to the tenth value

So we get 63.8

To learn more about rounding problems visit the link https://brainly.com/question/19288016

#SPJ2

22x+52=22x+89 no solution indefinitely many solutions one solutions

Answers

Answer:

No solution.

Step-by-step explanation:

22x+52=22x+89  Get rid of the variable first (this makes solving easier).

-22x      -22x

52=89                   The answer comes out as 52=89, but 52 is not equal to 89.

When this happens, there is no solution.

Hope this helps!! Have a great day :D

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Evaluate the following expression.

6 -1

Answers

Answer:

If I am not mistaken that looks like 6-1 which is 5 but I could be so let my know if I am correct

Step-by-step explanation:

Subtracting fractions with unlike denominators 9/8-4/10

Answers

Answer:

29/40

Step-by-step explanation:

Answer:

29/40

Step-by-step explanation:

Hope it helps

-20xp + 15m -35p
Could someone help me

Answers

Answer:

5(-4xp+3m-7p)

Step-by-step explanation:

If the question is to factor the expression as much as possible, that's the answer.

what is the awnser to r(−2)= ?

Answers

Answer:

r=2 i think

Step-by-step explanation:

Answer:

Hi there!

If there was supposed to be an attached problem to fill -2 into, PLEASE ATTACH IT!

If not, x= -2 in r(-2)

Jordan gave out a survey to some students in his school about their favorite color. Students could choose between purple and blue. 96 of those surveyed said their favorite color was purple. 76% of the students surveyed said their favorite color was blue. How many students were surveyed in total?​

Answers

Answer:

169

Step-by-step explanation:

i hope this helps

Answer:

398

Step-by-step explanation:

100%-76%= 24% which should be the 96 percent that chose purple

94÷24%= 3.91(4 because it's rounded) students per percentage

4×76%=304 that chose blue if rounded

94+304=398 total

Helppp I need help ASAP

Answers

Answer:

it would be B

Step-by-step explanation:

the ratio of tomatoes to cheese slices is 18:4 1/2 so that would be 25% of tomatoes.

What two integers gives a product of -10?

Answers

Answer:

Here's how to solve it.

Step-by-step explanation:

Ok so, a negative integer and positive ALWAYS equals a negative.

Negative and negative equals positive because it cancels out.

Positive and Positive equals positive.

So to answer your question What negative number times by a positive equals -10?

Well 5 * 2 = 10 Right?

So -5 * 2 = -10

Hope this Helps.

What is | -5 | ?5


thank you

Answers

Answer:

5

Step-by-step explanation:

the absolute value of every single number known to mankind is the distance from zero and that number. So the absolute value will no matter what always be that number, positive.

Anyone know how to do this?

Answers

Answer:

20°

Step-by-step explanation:

Step 1:

3x - 10 = x + 30       Alternate Interior ∠'s

Step 2:

2x - 10 = 30      Subtract x on both sides

Step 3:

2x = 40       Add 10 on both sides

Step 4:

x = 40 ÷ 2     Divide

Answer:

x = 20°

Hope This Helps :)

Justine paid 35.70 for a lego set that was on sale. The original price of the set was $42.00 what is the percentage discount for the cost of the lego set?

Answers

Answer: The lego set is 15% off

Which points on the number line represent the quotients of these expressions?


12 devided by (-6)
-15 devided by (-3)

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

it has 2 or 3 numbers as the answers
plz answer correctly...

Answers

Answer:

-25

Step-by-step explanation:

Expressions given and solved

12/ (-6) = - 2 -15 / (-3)  = 5

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

-7 -6 -5 -4 -3  |-2|-1 0 1 2 3 4 |5| 6 7

Can someone please help me on this?

Answers

I think 5 and 2 are linear pairs, 3 and 4 are complementary angles, 1 and 2 are vertical angles, and 5 and 2 are also supplementary angles
I could be wrong but I’m pretty sure!!

The model represents an equation. What value of x makes the equation true?

Answers

Answer:

i'm pretty sure the answer is x=3

Step-by-step explanation:

Answer: I think it’s x=2

PLz Help! ASAP I will mark you brainliest!

Answers

Answer:

#1 A

#3 D

#4 C

GOOD LUCK

HELP HAVING BAD DAY
Jasmine drives every morning to her office that is 12 miles from her home.
b
If Jasmine's average driving speed is s mph, how many minutes does it take her to reach the office?

Answers

Step-by-step explanation:

Hey there!

Speed (s) = m/hr

Distance = 12 miles

Time = ?

We have,

[tex]t = \frac{d}{s} [/tex]

[tex]t = \frac{12}{1} [/tex]

Therefore, time = 12 hr.

[Note: The speed is 1miles/hr. So, we got time same as the distance]

Hope it helps...

Answer:

12/s

Step-by-step explanation:

Seth has $10,000 in a savings account that earns 1.5 % annually. How much will he have total after 1 year?

Answers

Answer: $11,500

.............................

Answer:120,000

Step-by-step explanation:

10,000 is how much she make times that by how many months are in a year its 12 months and you get your out come.

6. A group of students was given the following to simplify: 3x+7. Brian believes that this expression simplifies to 10x because you add the 3 and 7 together and bring the x. Lindanes believes that this expression simplifies to 10 because you add the 3 and 7 and drop the x. Marcos believes that this expression simplifies to 3x+7 because you cannot combine the two terms. Jasmine believes that this expression simplifies to 21x because you multiply 3 and 7 and bring the x. Which student is correct?

Answers

Marcos is correct because 3x is not a like term to 7, since you cannot add them it’s already in its most simplified form and stays as 3x + 7.

Will give brainliest!

Answers

Answer:

C

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Line is going uphill so the slope is positive tiv. Then you do rise over run and get 2/3. Hope that helps.

Other Questions
Nakisa spent 328 on a total of CDs and DvDs. If Cds coat 12.00 and DVDs coat 16.00 each, how many CDs did Nakisa buy? If you have 15% withheld for federal taxes, 10% for state taxes, and FICA is a 7.65%, howmuch are your involuntary withholdings in all if your gross pay is $1,575.00 and your netincome is $925.00?OS514.24O $302.01O $120.49O $70.76 explain how the digit 5 in the number 484.5 and 635.82 are different Which of these is a good way to use visuals to retell the text?a.storyboardsc.sidebarsb.captionsd.dialogue boxesPlease select the best answer from the choices providedABCD what should you do if you catch C O V I D 19A stay home and wear a real mask when in publicB be a Karen and trash a store because they got mad at you for not wearing a mask C go out with friends D visit your grandparents ******************* IMPORTANT****************what is 1+4+6+0(3-2)?? Identify a like that the rectangle could be reflected over to result in a rectangle that has the same vertices as the original. Geometry. Please Help!! How many times dose 32fit into 249??? What is 100 times greater than 62.7 Uncle Buck's beach house is being taken by the Navy to build a naval base. In this case, personal desire and interest are subordinated tothe public good. What gives the government the right to do this? BIOLOGY HELP, 1 QUESTION as part of a summer job, you stack crates. the crates have the same length and width but have heights of 1 or 2 feet. using a forklift, you can stack the crates 8 feet high. if you stacked 3 of the 2-foot crates how many of the 1-foot crates were in the stack? Given f(x) = 4x + 10 find f(2).1) f(2) = -22) f(2) = 33) f(2) = 184) f(2) = 2 Chose ALL the choices that are true about exponential growth: a Rapid (fast) period of growth b Has carrying capacity c "S" curve d "J" curve e Takes place when there are lots of resources ex: food, space f Takes place when there are limited resources ex: food, space Environmental scientists studies the impact of a newly discovered bacteria on oil. If the bacteria ingests oil they can possible be utilized to clean up oil spills. What is the depended variable? Anyone know this thing 3) 92 students were surveyed about their elective classes for the first semester. Thefollowing were the results of the survey:50 students take art35 students take music40 students take drama20 students take music and art24 students take drama and music, 19 studentstake art and drama, 17 students take all three classesHow many students are not in any of the 3 classes?PLS HELP I HAVE TRIED THREE TIMES. GEOMETRY SOLVE WITH A VENN DIAGRAM Which of the following is a similarity between the Articles of Confederation and the United States Constitution?A.both abolished slaveryB.both provided a system of federalismC.both provided for federal control of commerce between the statesD.both provided federal power to impose and collect taxes Please help I do not understand it is a painting on a plank wood or multiple planks joined together?