Answer:
[tex](g\circ f)(-1)=36[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=-x+5\text{ and } g(x)=x^2[/tex]
And we want to find:
[tex](g\circ f)(-1)[/tex]
This is equivalent to:
[tex]=g(f(-1))[/tex]
So, evaluating f(-1) first, we acquire:
[tex]f(-1)=-(-1)+5=6[/tex]
Then by substitution:
[tex]=g(6)[/tex]
So:
[tex]=(6)^2=36[/tex]
Therefore:
[tex](g\circ f)(-1)=36[/tex]
Your answer is indeed correct.
Answer:
please refer to the above attachment.
36 is the right answer.1 of 5
© Angad and Nick win some money and share it in the ratio 5:1. Angad gets £60 more than Nick.
How much did Nick get?
Answer:
£15
Step-by-step explanation:
Angad : Nick = 5 : 1
Let
Nick share = x
Angad share = x + £60
Angad : Nick
5 : 1 = x + £60 : x
5/1 = x + 60 / x
Cross product
5 * x = 1 * x + 60
5x = x + 60
5x - x = 60
4x = 60
x = 60/4
x = 15
Nick get £15
Help. What is the length of EF in the right triangle below.
Answer:
A
Step-by-step explanation:
Since the triangle is right use Pythagoras' identity to find EF
The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is
EF² + DF² = DE² ← substitute values
EF² + 12² = 18², that is
EF² + 144 = 324 ( subtract 144 from both sides )
EF² = 180 ( take the square root of both sides )
EF = → A
Which shows how much water drips the faucet hour each
Answer:
2.5 ounces drip from the faucet per hour.
Step-by-step explanation:
You can figure this out by dividing the amount of water (7.5) by the hours (3).
7.5/3 = 2.5
To check your work you can do the same for the other combinations.
10/4=2.5, 12.5/5=2.5....
I hope this helped :)
45 is 26% of what number? Round to the nearest hundredth if necessary.
A. 11.7
B. 173.08
C. 1.73
D. 0.58
please help me!!!!!
one month Ahmad rented 3 movies and 5 video games for a total of $42. The next Month he rented 9 movies and 7 video games for a total of $72 . find the rental cost for each movie in each video game
Answer:
The rental cost of one movie is $2.25 and the rental cost of one video game is $6.25
Step-by-step explanation:
Let the rental cost of 1 movie be m.
Let the rental cost of 1 video game be v.
Step-by-step explanation:
this got me all confused ^^'
appreciate it if you help me....but if you cant thats ok! Have a great day either way^^
Answer:
im confused as you are
Step-by-step explanation:
look so what it is saying its that theres 22 in total. 14 already have a sibling and 18 have a pet. 22-14 is 8 and 22-18 is 4. how are you supposed to find the rest of them who have both?
Answer:
Answer is 10
Step-by-step explanation:
Attatchment
Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare. Which comparison of the childcare costs is accurate?
Gym B charges $1.05 less per hour than Gym A.
Gym B charges $1.50 less per hour than Gym A.
Gym B charges $5.25 less per hour than Gym A.
Gym B and Gym A charge the same hourly rate for childcare.
someone, please help !!
Answer:
gym a and b charge the same
Step-by-step explanation:
5 mins x 12 = 60 mins o.75 x 12 = 9
Answer:
Gym B and Gym A charge the same hourly rate for childcare.
Step-by-step explanation:
$0.75 per 5 minutes
$9.00 per haur
5 × 12 = 1 haur
$0.75 × 12 =$9.00
y = 2x + 4.6
m = ____ b = ____
fill in the blank !!!
Answer:
m = 2, b = 4.6
Step-by-step explanation:
The slope intercept formula is y = mx + b, So you can substitute for the values given.
ZX and zy are supplementary angles. zy measures 33°.what is the measure of ZX
Answer:
147°
Step-by-step explanation:
supplementary angles equal to 180° in total so...
180 - 33 = 147
what is−1/2−(−5/9) as a fraction in simplest form
Answer:
1/18
Step-by-step explanation:
-9/18 + 10/18
Answer:
1/18
Step-by-step explanation:
hello! please help me solve this asap!
Answer:
3
Step-by-step explanation:
y-3 = 3x+12
y = 3x +15
so slope = 3 ( number next to the x)
please help will mark brainliest
Answer:
[tex]m\angle N=57^{\circ}[/tex]
Step-by-step explanation:
From the isosceles-base theorem, the measure of the angles adjacent to the pair of congruent sides of the triangle are equal. Since the problem declares [tex]LM\cong LN[/tex], the remaining unknown angles are equal ([tex]m\angle N=m\angle M[/tex]). The sum of the interior angles of a triangle always add up to [tex]180^{\circ}$[/tex].
Therefore:
[tex]m\angle N\cdot 2+66=180,\\m\angle N\cdot 2=114,\\m\angle N=\fbox{$57^{\circ}$}[/tex] .
Answer:
LMN is rectangle in L so LMN= 180° ; ML=66°;N=? N= 180°- 66°=114=114/2= 57° so N=57°
Step-by-step explanation:
When the angle at the top is close to 0 °, the two of the base get less than 180 °, or less than 90 ° for each. If the angle at the top is 60 °, the other two are: 180 - 60 = 120 °, and each is: 120/2 = 60 °.
2. 4x + 5y = -30
Slope-standard form
Find the average rate of change
f(x)=x^2−6x+8 when x2=1 and x1=3
Answer:
Average rate of change for given function is: -2
Step-by-step explanation:
Given function is:
[tex]f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3[/tex]
In order to find the rate of change, we have to find the value of function on x1 and x2
So,
[tex]f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3[/tex]
The formula for finding the rate of change is:
[tex]Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
Putting the values, we get
[tex]=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2[/tex]
Hence,
Average rate of change for given function is: -2
Answer:
Average rate of change for given function is: -2
Step-by-step explanation:
Michael reads 12 pages of a book in 18 minutes, 8 pages in 12 minutes, and 20 pages in 30 minutes. I’d this a proportional relationship? What does it represent? Write an equation to represent this situation.
Answer:
Y= 1.5x
Step-by-step explanation:
What you would do is divide all of the minutes by the amount of pages to find how long for each rate for one page. (ex. 18/12, Michael reads 1 page in 1.5 minutes. 12/8, Michael reads 1 page in 1.5 minutes. 30/20, Michael reads one page in 1.5 minutes) Therefore, yes it is proportional, and the equation is y=1.5x (there is no y intercept)
I hope this will help
Rewriting expressions, image attached
Answer:
I am sorry I really don't know I will try to help if I get it sorry :((
Step-by-step explanation:
An English book consists of two sections, literature and grammar, in a ratio of 3:2. How much of each type of content will be needed to make a book of 150 pages?
Answer:
For Literature = 90 pages
For Grammar = 60 pages
Step-by-step explanation:
An English book consists of two sections, literature and grammar, in a ratio of 3:2. How much of each type of content will be needed to make a book of 150 pages?
Literature : Grammar
3 : 2
Total number of Proportion = 3 + 2 = 5
For Literature
= 3/5 × 150 pages
= 90 pages
For Grammar
= 2/5 × 150 pages
= 60 pages
Find the square roots of 16
[tex]\longmapsto \sqrt{{16} } \\ \\ \longmapsto{4} [/tex]
The perimeter of a rectangle is 28 inches. The length is 6 less than 3 times the width. What is the length of the rectangle?
Answer: The length is 9 inches.
Step-by-step explanation:
L = 3w - 6 (the length is 6 less than 3 times the width).28 = 2(3w - 6) + 2w (plug in width and length --> multiplied by 2 because of perimeter).28 = 6w - 12 + 2w (distribute)28 = 8w - 12 (combine like terms)40 = 8w (add 12 to both sides)5 = w <-- widthFind the length:
L = 3w - 6L = 3(5) - 6L = 15 -6L = 9 inAnswer:
The length is 9.
Step-by-step explanation:
Which equation matches the graph?
In the xy graph, the range of both axes is minus four to four by increment of one. On both axes every alternate tick marks are labeled. The line on the graph passes through the points (0, -1) and (-1, 3).
A. y = 3x – 8
B. y = –2x + 1
C. y = –4x – 1
D. y = 2x – 5
Answer:
Step-by-step explanation:
we can easily find this by looking at our y intercept
our y intercept here is (0, -1) so the equation who has -1 as a constant is the one were looking for
so C would be oour answer since its the only one with -1 as its constant
hope this helps <3
Work out the volume of this sphere.
Give your answer to 1 decimal place.
4.7 cm
Answer:
434.9 cm³
Step-by-step explanation:
Volume of a sphere: 4/3πr³
Substitute the information to find the volume.
4/3π(4.7)³ = 434.9
Subtract 5x−2 from −3x+4 .
−8x+6
2x + 2
−8x+2
8x−6
Answer:
-8x+2
Step-by-step explanation:
i got a 100 on this test
Evaluate the expectations for the given value of x
3x-2forx=2
Which answer choice describes y = -3x2 +7x - 2 accurately?
Answer:y = y = -7x
Step-by-step explanation: y - 14 = -7(x - (-2))
y - 14 = -7x - 14
The price of a pair of shoes increase from $65 to $68 What is the percent increase to the nearest percent
Answer:
4.61% increase (round up as needed)
Step-by-step explanation:
Subtract the smaller amount from the larger to find the dollar difference
[tex]68-65=3[/tex]
Then divide the difference by the original amount
[tex]3/65=0.0461[/tex]
Move the decimal point over two spaces (multiply by 100) to get your percentage
0.0461=4.61%
Round up as needed.
Please help me on thisss
Answer:
Step-by-step explanation:
Substitute the value for x.
f(-5) = 3(-5) - 2
f(-5) = -15 - 2
f(-5) = -17
Your baseball team has won 6 game and lost 4 game.If the the team dosen;t lose anymore games how many games must the team win to have a win:the ration is 2:1 ? Explain your answer
Answer: 2 more games
Step-by-step explanation:
From the question, we are informed that a baseball team has won 6 game and lost 4 game.
We are further told that the team dosent lose anymore games and want to know the number of games they must win to have a ratio of 2:1.
Since they have lost 4 games and need a ratio of 2:1. This means we have to multiply the game lost by 2. This will be: = 4 × 2 = 8 games.
Since they've won 6 games already, they'll need to win = 8 - 6 = 2 games more.
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A graduated cylinder is filled with 20ml of water. Then, an 8g marble is dropped into the cylinder, causing the volume to change to 24ml. What is the density of the marble?
Answer:
The density of the marble is 2,000 kg/m³
Step-by-step explanation:
The given parameters for finding the density of the marble are;
The volume of water in the graduated cylinder, v₁ = 20 ml
The mass of the marble dropped into the graduated cylinder, m = 8 g
The new volume of the cylinder after the 8 g marble is dropped into the cylinder, v₂ = 24 ml
Therefore, the volume of the marble, v = v₂ - v₁
Substituting the known values gives;
The volume of the marble, v = 24 ml - 20 ml = 4 ml
Density, ρ = Mass, m/(Volume, v), the units of density is kg/m³
Therefore, the density of the marble, [tex]\rho _{marble}[/tex], is given as follows;
[tex]\rho _{marble}[/tex] = m/v = (8 g)/(4 ml) = 2 g/ml
1 g/ml = 1 kg/l = 1,000 kg/m³
∴ [tex]\rho _{marble}[/tex] = 2 kg/l = 2,000 kg/m³.
negative 5 1 half plus 7 3 over 4
Answer:
[tex] 2 \dfrac{1}{4} [/tex]
Step-by-step explanation:
[tex] -5 \dfrac{1}{2} + 7 \dfrac{3}{4} = [/tex]
[tex] = -5 \dfrac{2}{4} + 7 \dfrac{3}{4} [/tex]
[tex] = 7 \dfrac{3}{4} - 5 \dfrac{2}{4} [/tex]
[tex] = 2 \dfrac{1}{4} [/tex]