Answer:
Let's put this function into slope-intercept form.
y = mx + b
where m is the slope
and b is the y-intercept
We know the y intercept is -3 since f(0) = -3
Thus, b = -3
To find the slope, use the equation m = (y1 - y2) / (x1 - x2)
x1 = 0
y1 = -3
x2 = 7
y2 = 11
Note: these values came from the given information
m = (-3 - 11) / (0 - 7)
= (-14) / (-7)
= 2
m = 2
Plug the values of m and b into y=mx + b
y = 2x - 3
That's your answer.
Step-by-step explanation:
Need help fasssssssst
Answer:
40%
Step-by-step explanation:
that is easy
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°.
If one side of a cube is
(3x + 5) in, what is the volume of the cube? Represent volume
as a simplified polynomial.
whats -4 times (-9)
please help
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:
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.
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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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
Solve the equation and determine how many solutions for the equation.
4c-20=-20+4c
Answer:
16c
Step-by-step explanation:
Convert 3.29 to a reduced fraction.
Answer: 329/100
Step-by-step explanation:
3 29/100 is the answer
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
is 0.7 , 0.38 , 0.09 in the correct order? (highest to lowest)
Answer:
0.7, 0.38, 0.09
Step-by-step explanation:
0.7 > 0.38 > 0.09
Answer:
Yes
Step-by-step explanation:
0.7=0.70
0.38 is well 0.38
0.09 is basically 0.09
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
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:
You can buy an 8-pack of soda for $7.92 or a 12-pack for $11.64. Which is the better buy?
Answer:
I would assume the 8-pack to be the answer because:
Step-by-step explanation:
8 ÷ 7.92 = 1.01
12 ÷ 11.64 = 1.03
1.01 < 1.03
Answer:
I believe the better buy is the twelve pack.
Step-by-step explanation:
If you look, 7.92 is closer to 8, which almost makes it 1 dollar per soda, where the 11.64 is farther from twelve. :) i hope this helps you!
6th-grade unit 10 lesson 4 review page 645
Answer:
?
Step-by-step explanation:
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:
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 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
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
Is 25 cars in 5 days; 60 cars in 12 days a proportion. Explain
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.
please help algebra II
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.
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
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:
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
Need answer fasssssst
Answer:
Step-by-step explanation:
points
shhsusisueshjsjs
Answer:
THNX Really needed this
Step-by-step explanation:
BRAINLIEST PLSSSS
Answer:
thanks for the points
Step-by-step explanation:
A player can move from point to point only in a direction that includes a downward motion (slanted or not). In how many distinct ways can a player move from the top to bottom?
Answer:
11 waysStep-by-step explanation:
There are 11 ways, 5 of them are straight and 6 are involving side moves
See attached picture
If you made $47,000 in 2020, and are getting a 3% raise, how much will you make in 2021? *
Answer:
48,410$ in 2021
Step-by-step explanation:
3% of 47,000 is 1,410
add the 3% increase to 47,000 to get 48,410$
Answer:
[tex]48[/tex],[tex]410[/tex]
Step-by-step explanation:
__________________________________________________________
[tex]47[/tex],[tex]000[/tex] [tex]in[/tex] [tex]2020[/tex]
[tex]48[/tex],[tex]410[/tex] [tex]in[/tex] [tex]2021[/tex]
__________________________________________________________
[tex]This[/tex] [tex]is[/tex] [tex]because[/tex] [tex]3[/tex]% [tex]of[/tex] [tex]47[/tex],[tex]000[/tex] [tex]is[/tex] [tex]1[/tex],[tex]410[/tex]
[tex]47[/tex],[tex]000[/tex] + [tex]1[/tex],[tex]410[/tex] = [tex]48[/tex],[tex]410[/tex]
__________________________________________________________
Hope this helps! <3
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