Answer:
3/2 or 1 + 1/2
i havent done fractions in a long time but this is what i got from memory
you turn the 2/3 into 4/6 so they can easily be added together to get 9/6 which can be simplified to 3/2 or in proper form 1 + 1/2
Consider these functions:
f(x)= -1/2x^2 + 5x
g(x)= x^2 + 2
What is the value of f(g(-2))?
Answer:
The value of f(g(-2)) is 12.
Step-by-step explanation:
We'll start by solving g(-2):
[tex]g(-2)\\= (-2)^2 + 2\\= 4 + 2\\= 6[/tex]
Now we can take that value and plug it into function f:
[tex]f(6)\\= \frac{-1}{2}6^2 + 5 * 6\\= -36/2 + 30\\= -18 + 30\\= 12[/tex]
Alternatively, you can work out a new single function that in itself describes f(g())
[tex]f(g(x)) = -\frac{1}{2}g(x)^2 + 5g(x)\\= -\frac{1}{2}(x^2 + 2)^2 + 5(x^2 + 2)\\= -\frac{1}{2}(x^4 + 4x^2 + 4) + 5x^2 + 10\\= -\frac{1}{2}x^4 - 2x^2 - 2 + 5x^2 + 10\\= -\frac{x^4}{2} + 3x^2 + 8[/tex]
and try plugging -2 into the new function
[tex]= - \frac{-2^4}{2} + 3(-2)^2 + 8\\= -16 / 2 + 3 * 4 + 8\\= -8 + 12 + 8\\= 12[/tex]
The value of f(g(-2)) for the given expression will be 12.
What is an expression?Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
We have,
f(x) = [tex]\frac{-1}{2} x^2[/tex] + 5x
And,
g(x) = x² + 2
Now,
For, x = -2,
i.e.
g(x) = x² + 2
Now,
Substituting the value of x = -2,
g(-2) = (-2)² + 2
On solving,
We get,
g(-2) = 6
Now,
For, f(g(-2)),
f(x) = [tex]\frac{-1}{2} x^2[/tex] + 5x
i.e.
Substituting the value of g(-2) = 6,
i.e.
f(g(-2)) = [tex]\frac{-1}{2} (g(-2)^2)[/tex] + 5(g(-2))
i.e.
f(g(-2)) = [tex]\frac{-1}{2} *6^2[/tex] + 5 * 6
On solving,
We get,
f(g(-2)) = -18 + 30
i.e.
f(g(-2)) = 12
So, the value of f(g(-2)) for the given expression is 12.
Hence, we can say that the value of f(g(-2)) for the given expression will be 12.
To know more about expression click here
https://brainly.com/question/953809
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What is the mode: 2, 3, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8
Answer:
use math way its free and super easy to use for questions like that
Step-by-step explanation:
Answer:
6, 8
Step-by-step explanation:
The mode represents the most frequently occurring value in a data set. A data set may have more than one mode. It is one of the measures of central tendency.
In this data set the most frequently occurring values are 6 and 8.
What is the domain of f(x)=(1/3)^x
Answer:
x + R
Step-by-step explanation:
Answer:y>0
Step-by-step explanation:
What is the y-intercept of the graph of 4x-10y =20???
An item is regularly priced at 55$ . It is now priced at a discount of 60% off the regular price. What is the price now?
Answer:
I believe it to be $22
Step-by-step explanation:
A salesperson at a jewelry store earns 5% commission each week last week heidi sold $540 worth of jewelry how much did she make in the commission how much did the jewelry store make from her sales
Answer: $27
Step-by-step explanation:
$540x.05=$27
Answer:
Heidi made $27 from commision; And the store made $513 (i had this question my self on Saavas)
Step-by-step explanation:
1. 540x0.05=27
2. 540-27= $513
So the store made 513 dollars and heidi made 27 dollars
Protease is an enzyme that breaks down proteins. What is the end product of this protein breakdown? A. amino acids B. fatty acids C.minerals D.vitamins
Answer:
A protease (also called a peptidase or ) is an enzyme an enzyme that catalyzes (increases the rate of) proteolysis, the breakdown of proteins into smaller polypeptides or single amino acids. They do this by cleaving the peptide bonproteins by hydrolysis, a reaction where water breaks bonds.
At a dog shelter, a 26-pound bag of dog food will feed 40 dogs. How many dogs would you expect to feed with a 13-pound bag of dog food? (Input only whole numbers.)
Answer:
the answer is 20 dogs
Step-by-step explanation:
there you go
:)
A bucket contains 40 red balls, 25 black balls, and 35 white balls. Two balls are drawn at random. What is the probability that the two balls are black and red?
Answer:
[tex]Probability = \frac{1}{5}[/tex] or [tex]Probability = 0.2[/tex]
Step-by-step explanation:
Given
[tex]Black = 25[/tex]
[tex]White = 35[/tex]
[tex]Red = 40[/tex]
Required
Determine the probability of selecting Black and Red
First, we need to calculate the number of red and black balls
The probability is calculated as thus:
[tex]Probability = P(Black\ and \ Red) \ or\ P(Red\ and \ Black)[/tex]
Convert to mathematical expressions
[tex]Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)][/tex]
Solve for each probaility;
[tex]P(Black) = \frac{Black}{Total} = \frac{25}{100}[/tex]
[tex]P(Red) = \frac{Red}{Total} = \frac{40}{100}[/tex]
So, we have:
[tex]Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)][/tex][tex]Probability = [\frac{25}{100} *\frac{40}{100}] + [\frac{40}{100} *\frac{25}{100}][/tex]
[tex]Probability = [\frac{1000}{10000}] + [\frac{1000}{10000}][/tex]
[tex]Probability = [\frac{1}{10}] + [\frac{1}{10}][/tex]
[tex]Probability = \frac{1+1}{10}[/tex]
[tex]Probability = \frac{2}{10}[/tex]
[tex]Probability = \frac{1}{5}[/tex]
or
[tex]Probability = 0.2[/tex]
urgent please help!! serious answers only
Answer:
The blank is 37.
Step-by-step explanation:
Ok. So 67 + 76 = 143.
Next since all triangles should be 180°
We know that since 180 - 143 = 37 the last angle should be 37.
May I please have Brainliest?!?
- hermionia
( Need Help Now!!!!!!) Noelle has four times as many apples in her grocery bag as her friends Dakota and Kylie combined. Dakota has 1 apple in her bag. Noelle has 16 apples in her bag. How many apples does Kylie have in her grocery bag? The equation 4(x + 1) = 16 models this situation. Which choice shows the sequence of operations needed to solve this problem, using both arithmetic and algebra?
Answer:
3 Apples
Step-by-step explanation:
3 + 1 = 4, 4 x 4 = 16 Apples :D
Answer:
The answer is 6 Apples
Step-by-step explanation:
You have to ad 3+2 equals 4 then 4 times 4 is 16 so the answer is 16 apples.
3 + 1 = 4, 4 x 4 = 16 Apples
points
shhsusisueshjsjs
Answer:
THNX Really needed this
Step-by-step explanation:
BRAINLIEST PLSSSS
Answer:
thanks for the points
Step-by-step explanation:
Anybody know how to do this?
Answer:
81°
Step-by-step explanation:
So you subtract those two number to find the missing angle and get 81°.
Find the better definition of function
1. A graph of a simple function. By transforming the function in various ways, the
graph can be translated, reflected, or otherwise changed.
2. Two numbers written in a certin order. Usually with the format of (x, y)
3. A special relationship where each input has a single output.
4. A graph of plotted points that show the relationship between two sets of data.
Need help fasssssssst
Answer:
40%
Step-by-step explanation:
that is easy
Santiago's $2900 monthly budget is represented by the pie chart below.
All amounts are in dollars. *
$69
$109
$56
$76
Answer:
what is the question?
Step-by-step explanation:
Solve the equation and determine how many solutions for the equation.
4c-20=-20+4c
Answer:
16c
Step-by-step explanation:
What is 20x - y = -40 in
slope-intercept form?
Answer:
y=20x+40
Step-by-step explanation:
slope-intercept form is y=mx+b. In order to place the equation into such format, you first need to move the 20x to the right, meaning you subtract it from both sides. you are left with -y=-20x-40. Since y cannot be negative or have any coefficient other than positive 1, you divide both sides by -1. -20/-1=20,, -40/-1=40,,-1/-1=1. Therefore, you are left with y=20x+40
whats -4 times (-9)
please help
(LOTS OF POINTS) Please just help me!!!
Need help with this
Mary has two job offers.
• The first job pays $8.00 an hour plus a $100 bonus.
• The second job pays $8.50 an hour plus an $80 bonus.
What equation would represent Mary's first job offer.
Answer:
8h+100
8.50h+80
Step-by-step explanation:
The equation for her first job is y = 8h + 100 and the equation for her second job is y = 8.5h + 100
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
Mary has two job offers.
The first job pays $8.00 an hour plus a $100 bonus.
The second job pays $8.50 an hour plus an $80 bonus.
Let h be the number of hours and y be the income.
The equation for her first job will be
y = 8h + 100
The equation for her second job will be
y = 8.5h + 100
More about the linear system link is given below.
https://brainly.com/question/20379472
If one side of a cube is
(3x + 5) in, what is the volume of the cube? Represent volume
as a simplified polynomial.
Derek weighs 155 pounds and drives a utility vehicle that can carry no more than 220 pounds. He plans to use his utility vehicle to haul blocks to his backyard. Which inequality shows the number of 3 pounds, b, Derek can haul at one time on his utility vehicle
for edmentum or plato how do you make a chart or graph larger. not enough rows for my checkbook assignment
here hope this helps!
Step-by-step explanation:
Which ratio is larger, 10 to 15 or 14 to 21?
Answer:
I am pretty sure that is it 14 to 21
Step-by-step explanation:
Sorry if i am wrong
i don’t know how to do this please helppp
Answer:
Given the 2 values, height and the base, of these 2 triangles, we can assume that they are similar (meaning they share the same angles) as we have no other information to determine the height of the tree.
Therefore, if these triangles are similar, their corresponding sides are proportional. In other words, PZ/RT = QZ/ST or RT/PZ=ST/QZ
Hence, if we find the ratio of this, we can use it to find the side h
QZ/ST=PZ/RT
48/12=PZ/4
PZ/4=48/12
(PZ/4)3=48/12
PZ(3)/12=48/12
48/3=16
16=PZ.
3Step-by-step explanation:
what is the value on the expression 1/2-(-1/3+2/5)?
Answer:
i think it is -7/30 but i am not sure
Help please! This has to do with the Pythagorean theorem.
What is the component form and magnitude of the
vector shown?
A. <7,-3) and 23°
B. (-7,3) and 23°
C.(7.-3) and 157°
D.(-7,3) and 157°
Answer:
<-7,3> and 157°
Step-by-step explanation:
Trust fam
Answer:
D.
Step-by-step explanation:
edg 21