Evaluate the composite function, where g(x) = x^2 – 7x and h(x) = 7 - 4x^2.
(hºg)(0)

Answers

Answer 1

Answer:

7

Step-by-step explanation:

Find (h°g)(0) can also be expressed as h(g(0)).  Begin by calculating g(0).  To evaluate the function g at 0, replace each x with 0.  g(0) = (0)²-7(0).  (0)²-7(0) is equal to 0 so now 0 becomes the input for h.  Evaluate h(0) by replacing each x with 0 in the h function.  h(0) = 7 - 4 (0)² = 7 - 0 = 7.


Related Questions


1) Which expressions can be used to find 1/4
of 12?

Answers

Answer:

Multiplication

Step-by-step explanation:

1/4 of 12 can also equal :

[tex] \frac{1}{4} \times 12[/tex]

Further explanation :

[tex] \frac{1}{4} \times \frac{12}{1} = \frac{12}{4} \\ = 3[/tex]

Anna and Hannah have \$80$80dollar sign, 80 each. Their friend offered to invest their money, promising to return a sum rrr times as great as what they invested. Anna was suspicious, so she invested \$20$20dollar sign, 20 only, but Hannah invested her entire \$80$80dollar sign, 80. Fortunately, the friend did indeed return a sum rrr times as great to each.
They decided to make another investment. This time, Hannah invested all of the money returned to her, and Anna invested the money returned to her and the remaining \$60$60dollar sign, 60. Again, they got a sum rrr times as great as what they invested. In the end, Hannah had twice the amount Anna had.
Write an equation in terms of rrr that models the situation.

Answers

9514 1404 393

Answer:

  2r(20r +60) = 80r^2

Step-by-step explanation:

Anna's first investment:

  20

Anna's first return:

  20r

Anna's second investment:

  20r +60

Anna's second return:

  r(20r +60)

__

Hannah's first investment:

  80

Hannah's first return, and her second investment:

  80r

Hannah's second return:

  80r^2

__

Twice Anna's return was equal to Hannah's return:

  2r(20r +60) = 80r^2

What is 3 1/2 - 7 1/10

Answers

Answer: -3 6/10 = 3 3/5

Step-by-step explanation: Rewriting our equation with parts separated

=3+12−7−110

=

3

+

1

2

7

1

10

Solving the whole number parts

3−7=−4

3

7

=

4

Solving the fraction parts

12−110=?

1

2

1

10

=

?

Find the LCD of 1/2 and 1/10 and rewrite to solve with the equivalent fractions.

LCD = 10

510−110=410

5

10

1

10

=

4

10

Reducing the fraction part, 4/10,

410=25

4

10

=

2

5

Combining the whole and fraction parts

−4+25=−335

Graph line with the equation y=x+6. (Can you explain how to do this overall)

Answers

Answer:

First using y = Mx + b with m = slope and b = y intercept so 1/3 = slope and (0,6) is y intercept next plot (0,6) the plot slope from that point with rise/run or from point (0,6) go up +1 point and over +3 and make a point then go up +1 and over +3 or from (0,6) use slope = -1/-3 since they equal the same thing. So from point (0,6) go down -1 and to the left -3. Then draw your line.

Step-by-step explanation:

what is the decimal as a fraction 7/11

Answers

Answer:

0.63

Step-by-step explanation:

Hey there!

[tex]\huge\boxed{\mathsf{\dfrac{7}{11}}}\\\\\\\huge\boxed{\mathsf{= 7\div 11}}\\\\\\\huge\boxed{\mathsf{= 0.636364}}\\\\\huge\boxed{\textsf{Therefore, your answer is: 0.636364}}\huge\checkmark[/tex]

Good luck on your assignment and enjoy your day!

~[tex]\frak{Amphitrite1040:)}[/tex]

PLSSS HELPPP ITS 7TH GRADE FRACTIONS

Answers

Answer:

Option C.

Step-by-step explanation:

Remaining lemonade aftet pouring 1/4 into thermos= 1¹/2- 1/4

2/5 of remaining lemonade= (1¹/2- 1/4)x 2/5

Melanie has pieces of train track that are 8 inches long that she is connecting together to form a track that her train can travel on. Martin is also trying to construct a track for his train but is using track pieces that are 20 inches long. How long will the shortest track be if the track that Melanie builds ends up being the same length as Martin's track?

Answers

Answer:

40 inches long

Step-by-step explanation:

In order to find the shortest possible track that they can both have but still be equal in length, we need to find the least common multiple of their train track pieces. In order to do so, we simply write out the multiplication table of each of their pieces' length until we find a common number, like so

8*1 = 8                  20*1 = 20

8*2 = 16                20*2 = 40

8*3 = 24

8*4 = 32

8*5 = 40

Now we have found the first common multiple which is a value of 40 meaning that the shortest train track that they can build with the same length would be a track that is 40 inches long

Ella and Jake love to skateboard. They created a frame for the ramp and then covered it with wood.

How much wood did it take to cover the ramp, including the bottom?

Answers

The answer is 144 for

Answer:

13.68

Step-by-step explanation:



To win a trivia game, Nevan must score 90 points.

Each correct answer is worth 1 and 3/4 points, and each incorrect answer is worth −14 points.

If he gets 58 questions correct and 22 questions incorrect, does Nevan win? How many points does he score?

Answers

Answer:

Step-by-step explanation:

For correct questions

1 correct questions = 1 3/4 points

1 correct question = 7/4 points

Since he got 58correct questions, tgw total points he earned will be;

58 × 7/4

= 406/4

= 101.5points

For incorrect questions

1 incorrect question = -14points

22 incorrect = -14×22

22incorreft = -308points

Total points gained/lost =-308+101.5

Total points lost = -206.5

Since Nevan has a negative point of -206.5, this means that he lost.

He scored -206.5points

∠A and ∠B are complementary. m∠A = 46°. Find m∠B.

Answers

Answer:

angle B will be 44°

____________________when two angle are complementary when the added up to 90°so. angle B = 90°-46°=44°

Answer:

90-46=54

Step-by-step explanation:

Ben wants to buy 2 blue sweaters for $116 each and 3 brown sweaters for $42 each.

How much will Ben spend on the five sweaters?

Ben will spend $
on the five sweaters.

Answers

Ben will spend 468 dollars on the 5 sweaters
Blue: 116+116=232 ( two sweaters

Brown: 42+42+42=126 (3 brown sweaters

ANSWER : He will spend 358$ on 5 sweaters



HOPE THIS HELPED!!

Zachary is planning to send a video game to each of his two brothers. If he buys the same game for both brothers and pays $2.75 to ship each game, how much can he spend on each game without spending more than $100? Enter and solve an inequality for this situation. Let v be the cost of one video game

Answers

Given that,

He buys the same game for both brothers and pays $2.75 to ship each game, how much can he spend on each game without spending more than $100.

We need to solve the inequality for this situation.

Let he spent $x on each of the video game. ATQ,

[tex]2x+2\times 2.75\le 100\\\\2x+5.5\le 100\\\\2x\le 100-5.5\\\\2x\le 94.5\\\\x\le \$47.25[/tex]

So, he can spend less than or equal to $47.25 on each game.

4 of 10
Jim was thinking of a number. Jim adds 20 to it, then doubles it and gets an answer of 99.2.
What was the original number?

Answers

You take 99.2 and subtract 20

Answer:

x =29.6

Step-by-step explanation:

Let x be the number

x+20

2(x+20) = 99.2

Divide each side by 2

x+20 = 99.2/2

x+20 = 49.6

Subtract 20

x = 49.6-20

x =29.6

le
What is the simplified expression for the expression below?
7(x - 4) – 3(x + 5)
0 4x - 43
O4x + 1
0 4x - 13
O 4X-9

Answers

Answer:

4x - 43

Step-by-step explanation:

7x - 28 - 3x - 15

7x - 3x - 28 - 15

4x - 43

The simplified expression is 4x - 43.

The correct option is A.

What is an expression?

A term is a single mathematical phrase. It might consist of only one variable—a letter—one number—positive or negative—or several variables multiplied but never added or subtracted. A number is placed in front of some nouns that have variables. Coefficients are numbers that come before phrases.

As per the information provided, it is given that,

7(x - 4) - 3(x + 5)

Expanding the brackets and simplifying, we get:

7(x - 4) - 3(x + 5)  = 7x - 28 - 3x - 15

7(x - 4) - 3(x + 5)  = 4x - 43

Therefore, the expression is 4x - 43.

To learn more about the expression;

brainly.com/question/24242989  

#SPJ7


Determine the slope of each line, if any. Identify which of the lines is vertical or horizontal.
1. f(x)=2x-5
2. f(x)= -3x + 7
3. f(x) = x + 6
4. f(x) = 1/4x -8
5. f(x)= 1/4x-1/2​

Answers

Answers:

slope = 2slope = -3slope = 1slope = 1/4slope = 1/4

None of the five lines are horizontal or vertical

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

Explanation:

Something like f(x) = 2x-5 is the same as y = 2x-5. This is because y = f(x).

Compare y = 2x-5 with y = mx+b. We see that m = 2 is the slope in this case.

The other four questions are handled the same way.

A horizontal line occurs when the slope is 0. Since none of the slopes are zero, none of the lines are horizontal.

A vertical line equation is of the form x = k, where k is any real number. The y variable is not involved. It is not possible to write a vertical line equation in the form y = mx+b because the slope m is undefined. So none of the given five equations are vertical lines.

Side note: something like y = x+6 is the same as y = 1x+6

8⁴x8²=8 to the power of ____​

Answers

I think it’s to the power of 6 because when you multiply powers you add them together

Answer: yeah I got it right Tyson

Step-by-step explanation:

The table below contains values of x and y that satisfy the equation of a line. What is the equation of a line that contains all the points in the table of values.

Answers

Answer:

d

Step-by-step explanation:

Add. Write your answer as a decimal.

10.9+(−15.6)+2.1

Answers

Answer:

−2.6

Step-by-step explanation:

it would be -2.6 because 10.9 + -15.6 = -4.7 + 2.1 = -2.6

which multiplication expressions is equal to 5/6÷1/2?

Answers

Answer:

1 2/3

Step-by-step explanation:

Express XCVI to Hindu Arabic
numerals.​

Answers

Answer:

XCVI in Hindu Arabic  numerals.​ is 96 (100-10+5+1)

Help with this question plzzzzzz

Answers

Answer:

C) 145 degrees

Step-by-step explanation:

angles 2 and 5 are same side interior angles, which means they're supplementary. (they add together to make 180)

using that, you can make the following equation:

(x is angle 2 to avoid confusion)

35 + x = 180

subtract 35 from both sides

x = 180 - 35

x = 145

I think it’s 145 because if 1,3,5, and 7 are the same (35) than since 1 and 3 are 35 35 plus 35 is 70 and 360 minus 70 is 290 and since 2 and 4 are the same than you would divide 290 and 2 which gives you 145 and 145 plus 145 plus 35 plus 35 equals 360

Peter bought 8 lemons for $ 6. Each lemon was the same price.
What was the cost for 1 lemon?

Answers

Answer:

$0.75

Step-by-step explanation:

the total was 6 dollars, and there were 8 lemons. so 6/8 = 3/4 = 0.75

hope this helps!! :)

Answer:

.75 cents each

Step-by-step explanation:

if you divided the 6 dollars by the 8 lemons then you get 0.75

what is the midpoint of the segment with endpoints (17,1) and (-9,3)

Answers

Answer:

(4,2)

Step-by-step explanation:

[tex](x_{m} ,y_m) = \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}[/tex]

(17,1) & (-9,3)

x₁ = 17, x₂ = -9

y₁ = 1, y₂ = 3

1). [tex]\frac{17+(-9)}{2}[/tex], [tex]\frac{1+3}{2}[/tex]

2). (4, 2)

what’s 5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13

Answers

Answer: Infinitely many solutions.

plz mark brainliest

An air tank that is 500 mL is 80% oxygen
and 20% nitrogen. What is the amount of
oxygen in milliliters in a 200 ml air tank
that contains the same ratio?

Answers

In 500 mL
80% oxygen: 400 mL oxygen
20% nitrogen: 100 mL nitrogen

In 200 mL
80% oxygen: 160 mL oxygen
20% nitrogen: 40 mL nitrogen

!!!HELP ASAP!!!Lindsey is practicing her downhill skiing. Slope A descends 15 vertical feel for every 24 horizontal feet. Slope B descends 12 vertical feet for every 16 horizontal feet. If Lindsey prefers to ski on a steeper hill, which should she chose, and why?

Answers

Answer:

Slope b it would be faster

Step-by-step explanation:

12 for every 16 is better than 15 for every 24 used simple math to get the answer

Hope this helped :)

a number that can be expressed as a fraction is a ___
( fill in the blank ) will give brainliest !

Answers

Answer:

rational numbers?

Step-by-step explanation:

A number that can be expressed as a fraction is a rational number.

Step-by-step explanation:

Rational numbers aren’t whole numbers they are fractions And whole numbers can be expressed as a fraction if you put 5 like 5/1

Name all of the angle(s) that are adjacent and congruent to angle BDC​

Answers

Answer:

im not sure if im entirely correct, so i apologize in advance

<HDF

<BDG (i think)

<CDE

Step-by-step explanation:

The angles that are adjacent and congruent to ∠ BDC​ are ∠ HDF , ∠EDH and ∠CDE.

A figure is given in the question.

We have to tell about angles which are congruent to ∠ BDC.

What are the adjacent angles ?

The two angles are said to be adjacent angles when they share the common vertex and side.

As per the definition of adjacent angles ;

we can check for the adjacent angles from the figure.

Here ;

∠ BDC =  ∠ HDF.

∠ BDC =  ∠ EDH.

∠ BDC = ∠ CDE.

To check , if these are congruent too ; we must know that two angles are congruent when they have the same angle measurement, i.e., they’re equal.

if we compare from the figure ; we found that these angles are also congruent to each other.

Thus , the angles that are adjacent and congruent to ∠ BDC​ are ∠HDF , ∠EDH and ∠CDE.

To learn more about congruency of angles click here ;

https://brainly.com/question/24307954

#SPJ2

Which pair of angles is not congruent?

Answers

Answer:

A

Step-by-step explanation:

Answer:I’m gonna say 4 and 6

Step-by-step explanation:

Because they are not congruent because if they where congruent it would have been 1/7

PLZ I NEED THIS RN
The distance, y, in centimeters, of an ant from a hole in the tree for a certain amount of time, x, in seconds, is shown in the graph:

A graph titled Motion of Ant is shown. The graph shows time in seconds on the x-axis and the Distance from Hole in centimeters on the y-axis. The scale on the x-axis is shown from 0 to 6 at increments of 1, and the scale on the y-axis is shown from 0 to 12 at increments of 2. The graph has 3 straight lines. The first line is labeled P and joins ordered pairs 0, 0 and 2, 6. The second line is labeled Q and joins ordered pairs 2, 6 and 3, 6. The third line is labeled R and joins ordered pairs 3, 6 and 5, 0.
Part A: Is the graph linear or nonlinear? Explain your answer. (2 points)
Part B: In which segments is the graph increasing, decreasing, and constant? (3 points)
Part C: In your own words, describe the motion of the ant, as shown on the graph. (5 points)

Answers

Answer:

A: Nonlinear

B: Constant=0, Decreasing=M, Increasing=K

C: 2-3-3

Step-by-step explanation:

1. Linear graph - one with a line that has the same slope all the way through

The line doesn't have the same slope the whole way through because at one part it flattens and also decreases

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

2. Remember: Increase (up), decrease (down), constant (constant)

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

3. In my words, I don't know if they're asking the pattern or technical, but you can add on to the 2 mins walk, 3 mins stop, then 2 mins walk again.

Hope it helps

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