Answer: B
Step-by-step explanation :}
(03.03 MC)
The table below represents a linear function f(x) and the equation represents a function g(x):
х f(x)
-1 -5
0 -1
1 3
g(x)
g(x) = 2x - 7
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
(6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Finding the slope of f(x)
Given the table of the function f(x)
x f(x)
-1 -5
0 -1
1 3
Finding the slope using the formula
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:-5\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)[/tex]
[tex]m=\frac{-1-\left(-5\right)}{0-\left(-1\right)}[/tex]
[tex]m=4[/tex]
Thus, the slope of the function f(x) = 4
Finding the slope of g(x)
We know the slope-intercept form of a linear function is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Given the function
[tex]g(x) = 2x-7[/tex]
comparing with the slope-intercept form
y = mx+b
The slope of the function g(x) = 2
Thus, we conclude that:
The slope of the function f(x) = 4The slope of the function g(x) = 2Hence, the slope of f(x) is greater.
Part b)
Finding the y-intercept form of f(x)
We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.
From the table,
It is clear at x = 0, y = -1
Hence, the y-intercept of the function f(x) = -1
Finding the y-intercept form of g(x)
Given the function
[tex]g(x) = 2x - 7[/tex]
comparing with the slope-intercept form (y = mx+b)
[tex]y = mx+b[/tex]
where b is the y-intercept
Hence, the y-intercept of g(x) = b = -7
Thus, we conclude that:
The y-intercept of the function f(x) = -1The y-intercept of the function g(x) = -7Hence, the y-intercept of f(x) is greater.
A school group is planning a trip to Jacksonville, Florida. There are 29 people going on the trip. They have agreed to share the total cost of the trip equally. Let s equal each person’s share of the cost. What is each person’s share of the cost? Solve this problem any way you choose. bus cost 7,830$ the hotel cost 10,034$ the meal cost 812$ the event ticket cost 435$ the cost of eveyting is 19,111$
Answer:659
Step-by-step explanation:
Find m2H.
E
81°
A. 81°
B. 162°
C. 89°
D. 99°
the answer is yes or no ?
Answer:
No!!
Step-by-step explanation:
For every 1 pound it costs $2⁵⁰
For every 2 pounds it costs $5⁰⁰
For every 3 pounds it costs $7⁵⁰
and so on going by 2.50 each pound.
I WILL GIVE BRAINLIEST IF CORRECT!!!!!!!!
Mrs. Kunannan checked her class rosters at the beginning of the year. The ratio of girls to boys in her class is 3 to 7. If she has 50 total students in her class, how many students are boys?
Answer:
35
Step-by-step explanation:
uhh.i dumb the screenshot is here
Answer:
40
Step-by-step explanation:
Just use a calculator. I didn´t need to. My brother helped me a little
1/5(x-2)=1/10(x+6) and
0.35(x+4)=0.25(x-6) please
Answer:
1) x=10 2) x= -7.25
Step-by-step explanation:
Im not sure
The sum of two numbers is 125. Their difference is 47. The two numbers are:
39 and 86.
40 and 85.
47 and 78.
None of these choices are correct.
Answer:
39 and 86.
Step-by-step explanation:
39 and 86 equal 125 when added. When 47 is subtracted from 86 you get 39.
Which ordered pair does NOT represent a located in Quadrant IV?
Answer:
there aren't any options. but quadrant four would have a (x,-y) set up. positive x-values, but negative y-values.
What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where $a$ and $b$ are integers?
Thats insane tho!
Whats ur aops class that you take?
Write an equation that represents the line. Use exact numbers
Answer:
y= 2/3x + 1.25
Step-by-step explanation:
I can't see the exact number but it's probably 1.25. Sorry if it's wrong :)
I’ll mark you brainlist I’ll mark you brainlist write in y=mx+b form I’ll mark you brainlist I’ll mark you brainlist
Answer:
y=5x+12
Step-by-step explanation:
Starting with the components of slope intercept form y=mx+b
m is you rate of change and b represents your y intercept
This would give you in your case y=5x+b, but we still need to solve for b.
So given your (x,y) point you plug it into y=5x+b giving you:
-3 = 5 (-3) + b
then some easy multiplication and addition
-3 = -15 + b
get the constant on the oppisite side of your variable b
-3 + 15 = -15 + 15 + b
This results in b = 12
Now rewrite the formula with b = 12
Which TADA! gives you
y = 5x + 12
ABCD is a parallelogram. If m
mario in mario 64 go: yayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayawhat am i
what is 53829-(-538)7902(6)=?
Answer:
25561485
Step-by-step explanation:
81/11 as a mixed number
Answer:
7 4/11
Step-by-step explanation:
this is the answer
Answer:
7 4/11
Step-by-step explanation:
81/11= 7 4/11
what’s the slope of the line?
Answer:
-10/3 or -3 and 1/3
Step-by-step explanation:
you can do y1-y2 over x1-x2 of two points
or you can count the rise oiver run from (5,-5) to (2,5) which is 10/3
but its negative slope cause your going back 3 to the left
A group of students would like to know how well the value of coins in a bag can be predicted based on their weight. They collected the following data.
Weight (grams) 32.7 -96.9- 93.8 65.4 65.4 79.7 69.3 112.1
Value $0.63 $3.22 $2.10 $2.17 $2.14 $2.03 $1.76 $3.19
For the bags of coins, what is the correlation coefficient, r , between "weight" and "value"? Use technology, and round your answer to the nearest hundredth.
Using a calculator, it is found that the correlation coefficient between weight and value is of -0.15.
Correlation coefficient:Has two inputs, which are the sets of values x and y.In this problem, the set x is composed by the weights.The set y is composed by the prices.Inserting these values in a calculator, it is found that the correlation coefficient between weight and value is of -0.15.
You can learn more about correlation coefficient at https://brainly.com/question/25815006
Need help !
Which equation could be represented by the number line?
Answer:
I think its b
Step-by-step explanation:
A school conducts 27 tests in 36 weeks. Assume the school conducts tests at a constant rate. What is the slope of the line that represents the number of tests on the y-axis and the time in weeks on the x-axis?
Answer:
the slope of the line= 0.75.
its answer is 3.96 in y axis on 76 on X axis
HELPPPP PLEASE!!
Find the discounted price of a $90 calculator that is on sale for 25% off.
Answers listed:
$22.50
$67.50
$89.75
$65.00
Answer:
67.5
Step-by-step explanation:
ok easy it cost $90
90/100=0.9
0.9*25=22.5
90-22.5
67.5
+
Write the polynomial "5a2+3a²+a+1” in standard form (from greatest power to
lowest):
Answer:
8a2+a+ 1
Step-by-step explanation:
just so I know the 5a2 is 5a square r?
Please anyone answer it’s a time limit please answer please please help anyone please.
Answer:
(-3,-8)
Step-by-step explanation:
I would explain but that would take too much time.
Answer:
3-8
Step-by-step explanation:
You had some money and then spent $7.49. Now you have $6.21. How much
did you originally have? _____
Answer:
Step-by-step explanation:
7.49+6.21= 13.70
Which of the following is the point-slope equation of the line that passes through
(4,-2) and has a slope of 1/2?
Answer: y + 2= 0.5(x - 4) Is this good?
Step-by-step explanation:
4. What is the value of -24 + 6?
Answer:-18
Step-by-step explanation:
Answer:
-18
Step-by-step explanation:
Please give brainliest!
what 10x10x10x10x10x10x10000=
Answer:
10^6*10000=10,000,000,000
Step-by-step explanation:
Find the mean of 12, 16, and 23.
Answer:
17
Step-by-step explanation:
mean means average...
12+16+23= 51
51/3= 17
I need help with this geometry problem please
Answer:
A. 29
Step-by-step explanation:
Set 5x - 11 = to 3x + 5, and then solve for X, and substitute the x value (8) back into the equation to get 29.
~theLocoCoco
uhmmmm... yea............
Answer:
You add 12.5+12.5+3.02+3.02 which equals 31.04
Step-by-step explanation:
transversals angles
Answer:
It is C. 3
Step-by-step explanation:
Hope this helped have an amazing day!