Answer:
yes its a function
Step-by-step explanation:
A function is a problem that has an x value used only once. in this problem you provided, it goes horizontal across the x axis so no x value will be used twice.
In a class of 30 students, 22 study physics (P) and 19 study chemistry. What is the number of students who study both physics and chemistry?
Answer:
11
Step-by-step explanation:
22+19=41
41-30=11
22 study physics, 19 study chemistry and 11 study both
6th-grade unit 10 lesson 4 review page 645
Answer:
?
Step-by-step explanation:
What is the equation of the line in slope intercept
Answer:
y = -5/4 + 5
Step-by-step explanation:
y = mx + b
m is the slope, and b is the y-intercept
The slope is going down so it;s a negative. From one point to the other, it goes down 5 units while going to the right 4 units. So rise/run = -5/4
y-intercept is where the line intercepts on the y-axis, in this case the line goes through 5 on the y-axis, so it's 5
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
#SPJ2
How do you know that there exists a real number x>0 such that x^2 = 3?
no answer needed, just take the points.
Answer:0x0
Step-by-step explanation: there will have to be a number as its infinite numbers apparently
Answer:
Thought I would show you that my question you commented on was incomplete like I said, thanks for the points though.
Step-by-step explanation:
Angie wants to buy Christmas presents for all 7 of
her cousins.
She wants to spend $4.75 on each one.
How much will she spend all together?
Answer:
$33.25
this is your answer because you multiply $4.75 times 7 friends and get a total of $33.25
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
PLEASE HELP!! IT DUE TODAY! im begging you please help me out
Answer:
11(2r+1)
16(2t+1)
9(4+c)
14(3k+2)
Step-by-step explanation:
no real way to explain besides factor them and take the largest common factor out
Answer:
1) 11(2r+1)
2) 16(2t+1)
3) 9(4+c)
4) 14(3k+2)
Step-by-step explanation:
Factor these expressions, find the GCF and divide the GCF on both the numbers, keep the numbers and put them in parenthesis and put the GCF on the outside of the parthensesis.
The average number of hours for a random sample of amazon orders for a specific product was 39 hours last year. It is believed that the opening of a nearby warehouse has led to a reduction in the shipping and delivery time. To test the validity of this belief, the hypotheses are
Answer:
H0: μ ≥ 39
Ha : μ < 39
Step-by-step explanation:
Given:
Specific production hour = 39
Explanation:
The given data is a left tailed test.
So,
The null hypothesis is ;
H0: μ ≥ 39
The alternative hypothesis is ;
Ha : μ < 39
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
( 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:
PLEASE HELP THIS IS DUE AT 10 PM
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
An education researcher is comparing four different algebra curricula. Eighth grade students are randomly assigned to one one of the four groups. Their state achievement test scores are compared at the end of the year. Use the appropriate statistical procedure to determine whether the curricula differ with respect to math achievement. An alpha criterion of .05 should be used for the test.
n mean std
curriculum 1 50 170.5 14.5
curriculum 2 50 168.0 12.8
curriculum 3 50 167.6 17.7
curriculum 4 50 172.8 16.8
Answer:
Hello your question has some missing parts attached below is the missing part of the question
answer :
a) population mean
b) Null hypothesis: H0 : u1 = u2 = u3= u4 while the
Alternate hypothesis H1 : shows that all given values are equal
Step-by-step explanation:
a) Define the parameter of interest in the context
The parameter of interest in the context is the population mean
b) state The Null hypothesis and the alternate hypothesis
Null hypothesis: H0 : u1 = u2 = u3= u4 while the
Alternate hypothesis : H1 : shows that all given values are equal
y ≥ 12x – 1
y < 43x – 2
Answer:
Step-by-step explanation:
The solution to this problem is a graph.
Graph y ≥ 12x - 1: this is a straight solid line with slope 12 and y-intercept -1. Due to the presence of the ≥ operator, we must shade (darken) the entire area above this line.
Next, graph y < 43x – 2 using a dashed line (due to the < operator): The slope is 43 and the y-intercept is -2.
Determine where the two lines intersect, either from the graph or algebraically. If algebraically:
equate the two givens:
y = 12x - 1 = y = 43x – 2, which simplifies first to:
12x - 1 = 43x - 2, and second to
1 = 43x - 12x = 31x, which results in x = 1/31.
Substituting 1/31 for x in the first equation, we get:
y = 12(1/31) - 1, or y = 12/31 - 1, or y = 12/31 - 31/31, or y = 19/31
The two graphs intersect at (1/31, 19/31)
Shade (darken) the area beneath (under) the dashed line y < 43x – 2.
The solution is the area that you have darkened twice.
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:
35.408 in expanded form
Answer:
30+5+0.4+0.00+0.008
I hoped this helped u :)
Step-by-step explanation:
Answer:
30 + 5 +.4 + .008
Step-by-step explanation:
Didn't see a comma so I'm assuming you wanted as decimal, if I messed up tell me it's late I'm not thinking the best rn.
Marcus was showing how he solved a division problem with the area model below. His pen exploded ink on some of his work.
What is the divisor that is covered with ink on the left side of the model?
A. 100
B. 80
C. 56
D. 29
Answer:
C
Step-by-step explanation:
Find the unit rate.
21 grams of fat in 3 servings
The unit rate is
g/serving.
Answer:
7 grams of fat per serving
Step-by-step explanation:
Need answer fasssssst
Answer:
Step-by-step explanation:
If one side of a cube is
(3x + 5) in, what is the volume of the cube? Represent volume
as a simplified polynomial.
(LOTS OF POINTS) Please just help me!!!
What is the domain of f(x)=(1/3)^x
Answer:
x + R
Step-by-step explanation:
Answer:y>0
Step-by-step explanation:
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
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°.
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:
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
Convert 3.29 to a reduced fraction.
Answer: 329/100
Step-by-step explanation:
3 29/100 is the answer