Answers
Answer:
a. Slope of f(x) is greater than g(x)
b. y-intercept of f(x) is less than the y-intercept of g
Step-by-step explanation:
Function f(x)
Given the function f(x)
x f(x)
-3 -0.5
-2 0
-1 0.5
0 1
Finding the slope between any two points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-3,\:-0.5\right),\:\left(x_2,\:y_2\right)=\left(-2,\:0\right)[/tex]
[tex]m=\frac{0-\left(-0.5\right)}{-2-\left(-3\right)}[/tex]
[tex]m=0.5[/tex]
Thus,
The slope of f(x) = 0.5
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the given point (0, 1), we can easily observe that at x = 0, the value of y = 1.
Thus, the y-intercept of f(x) = 1
Function g(x)
Taking two points from the given graph of g(x)
(1, 0)(0, 2)Finding the slope between (1, 0) and (0, 2)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(1,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:2\right)[/tex]
[tex]m=\frac{2-0}{0-1}[/tex]
Refine
[tex]m=-2[/tex]
Thus,
The slope of g(x) = -2
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the given point (0, 2), we can easily observe that at x = 0, the value of y = 2.
Thus, the y-intercept of g(x) = 2
Conclusion:
FOR function f(x)
The slope of f(x) = 0.5
The y-intercept of f(x) = 1
FOR function gx)
The slope of g(x) = -2
The y-intercept of g(x) = 2
Thus:
a. Slope of f(x) is greater than g(x)
b. y-intercept of f(x) is less than the y-intercept of g
Related Questions
Which graph does not represent a function?
Answers
Answer: B
Step-by-step explanation:
It is.
PLEASE HELP 17 points
Answers
Answer: I say B its a bit hard but i think i got it not sure but Good Luck!
Step-by-step explanation:
Answer:
6.25
Step-by-step explanation:
When dilating a shape, you need to take the side length and multiply it by the scale factor.
n
Write the equation of the line
that passes through (5,-6)
and has a y-intercept of -2.
Hint: What ordered pair is
used for the y-intercept?
I
Answers
Sorry if I’m wrong
I will give brainiest to whoever answers correctly !!
Answers
Answer: approx. 4077.7
Step-by-step explanation:
Use this formula: T=a*(1+m%)^n (T: result; a: initial money; m:interest; n:months)
Can someone help me with this question for my homework 2x+29+11=x+28
Answers
Sure! I'll try!
2x + 29 +11 = x + 28
First, you would put like terms ( the x ) on the same side.
2x + 29 + 11 = x + 28
-2x -2x
Giving you: 29 + 11 = -3x + 28
Then, you would add 29 and 11 together to get 40.
Next, you'd put the 28 on the other side.
40 = -3x + 28
-28 - 28
Giving you: 12 = -3x
please help does anyone know this?!!!
Answers
Answer:
b c a
Step-by-step explanation:
b c a;b c a; b c a; b c a; b c a
Answer:
Step-by-step explanation:
THe first one is infinitely many solutions , you see y-2x=7 is the same as y=2x+7 which means they will intersect on every point
y-2x=7, simply add 2x to both sides
y=2x+7
The second one has no solution, if you solve for y on each side, you will find that the lines are parallel (slope is the same) and will never intersect.
THe third one has one solution
Find the sum of whole number that are less than 100 and leave reminder 2 when divided by 5
Answers
Answer:
99
Step-by-step explanation:
2+5, ∈ℤ
=2+7+12+⋯+97
This is AP with =2,=5,
th term is given by =+(−1)
97=2+(−1)5⟹=20
So sum of such integers,
20=202(2+97)=990
The sum of whole number that are less than 100 and leave reminder 2 when divided by 5 is 990.
What is Arithmetic Progression?A series in which the differences between each pair of following terms are the same is known as an arithmetic progression.
An arithmetic progression is a sequence in which every phrase—aside from the initial term—is created by multiplying the previous term by a predetermined amount.
Given:
We have to find the sum of number that are less than 100 and leave reminder 2 when divided by 5
So, we get the sequence
2, 7, 12, ................97
=2+7+12+⋯+97
This is AP with =2,=5,
So, l= a+( n-1)
97= 2+ (n-1)(5)
95 = 5(n-1)
n-1 = 95/5
n-1 = 19
n= 19 + 1
n=20
Now, the sum is
[tex]S_{20}[/tex] = 20/2( 2 x 2+ (20 - 1 )(5))
= 10( 4 + 19(5)
= 10 (99)
= 990
Hence, the sum is 990.
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what is the answer to
2x=24
Answers
Answer:
12
Step-by-step explanation:
you divide 24 by 2 because it is multiplication, and the opposite is division.
Jill orders t-shirts on Amazon. Each shirt costs $15.00 including tax. A one-time shipping fee of $3.25 is added to the cost of the order. The total cost of Jill's order is $78.25. How many t-shirts did Jill order
Answers
Answer:
5 shirts
Step-by-step explanation:
78.25- 3.25 = 75
75/ 15 = 5
2x ^2 −5=3x
Which of the following describes the solutions to the equation above?
A)The equation has two distinct rational solutions.
B)The equation has two distinct irrational solutions.
C)The equation has one distinct real solution.
D)The equation has no real solutions.
Answers
Answer:a
Step-by-step explanation:
The solutions to the given equation will be two distinct rational solutions, i.e. option A.
What is expression ?Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
We have,
[tex]2x ^2 -5=3x[/tex]
Now,
Rearrange the equation,
[tex]2x ^2 -3x-5=0[/tex]
Now,
Using the mid term splitting method,
[tex]2x ^2 -3x-5=0[/tex]
i.e.
[tex]2x ^2 -5x+2x-5=0[/tex]
Now,
Taking common,
[tex]2x ^2 +2x-5x-5=0[/tex]
i.e.
[tex]2x (x +1)-5(x+1)=0[/tex]
We get,
[tex](x +1)(2x -5)=0[/tex]
Now,
(x +1) = 0
⇒ x = -1
Now,
(2x -5 )= 0
⇒ [tex]x =\frac{5}{2} =2.5[/tex]
So, the solutions of the given equation are -1 and 2.5.
Hence, we can say that the solutions to the given equation will be two distinct rational solutions, i.e. option A.
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Help plz:)))I’ll mark u Brainliest
Answers
Answer:
[tex]x=1,CD=5[/tex]
Step-by-step explanation:
It's given that [tex]ABCD\cong FGHJ[/tex]. Because the side [tex]CD[/tex] corresponds with the side [tex]HJ[/tex], their lengths will be equal. Therefore, we have:
[tex]2x+3=3x+2,\\x=1[/tex]
Plugging [tex]x=1[/tex], we have:
[tex]CD=2(1)+3=5[/tex].
37
R
12
B
35
С
Find tan(a) in the triangle.
Choose 1 answer:
А
35
37
35
B
12
12
35
12
37
Answers
The value of the tangent of angle α will be 35/12. Then the correct option is B.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The triangle ΔABC is given below.
Then the value of tan α will be
tan α = 35 / 12
Then the correct option is B.
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what is the equation of a line with a slope of -3 and a y-intercept of 9
Answers
Answer:
The answer to the question provided is y = -3x + 9.
which of the following equations would have 2 x-intercepts
Answers
Answer:
None of these
Step-by-step explanation:
because if we plug in every time we will gwt one solution of X
Which equation represents the line passing through the points (-2,4) and
(2,8)?
A. y = -x + 2
B. y = -x + 6
C. y = x +4
D.y = x + 6
Answers
Answer:
D
Step-by-step explanation:
plug in both values into the equations, and whichever one works for both is the right answer
the required equation is, D. y= x+6
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have to points (-2,4) and, (2,8)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
=>(y-4)/(x+2)=(8-4)/(2+2)
=>y-4=x+2
=>y=x+6
Hence, the required equation is, D. y= x+6
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Leo has 3 8/9 ounces of sunblock. He uses one-fifth of an ounce at the beach. How much does he have left?
Answers
Step-by-step explanation:
7/9pls mark as brainliest
Answer:
Step-by-step explanation:
It's 3 31/45
how is the graph of f(x)=-3x^2-4 different from the graph of f(x)=-3x^2 ?
Answers
Answer:
B
Step-by-step explanation:
rules:
add outside the function : f(x) ± a; will shift a + up / a- down
add inside the function: f(x ± a); will shift a + left / a- right
so if
f(x) becomes f(x) -4 will be shifting down 4 units
The value of x in this system of equations is 1.
3x + y = 9
y = –4x + 10
What is the value of y?
Answers
If you need and explanation let me know
9(x-4) -7x=32-2(x+8)
Answers
Answer:
x=13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
using distributive property:
9x-36-7x=32-2x-16
2x-36=16-2x
4x=52
x= 13
plz brainliesttt
Helpppppppppppppppp pleaseeeeee
Answers
290.4 I'm guessing cuz bbn it closest to what I got
Read Out
Loud
Angus cut his neighbor's lawns for the summer. By the end, he
had $240 in his lawn cutting bank account after paying a total
of $60 for gas.
He earned $6 for every lawn he mowed in his neighborhood.
How many yards did he mow?
Select the expression that represents the problem above
a) (240 - 60) + 6
b) 240 + 60 x 6
c) 240 +60 - 6
d) (240 + 60) + 6
2
A
5
Answers
Answer:
pov: im getting free points
Step-by-step explanation:
Please answer thank you
Answers
Answer:
y=10.2x
Step-by-step explanation:
x represents hikers
y represents total pounds
4. The sale price of a bunny doll is $12 after a 40% markdown. What is selling price and
markdown amount?
Answers
Will mark brainliest!!!Please find the value of each variable in the parallelogram!!
Answers
Answer:
a=9
b=11
Step-by-step explanation:
opposite sides of a parallelogram are congruent(aka equal)
so, a=9
b=11
Answer:
A is 9 units and B is 11 units.
Step-by-step explanation:
In a parallelogram, there are 2 parallel line. And they are congruent. So whatever their parallel line is equal to, it is the measure of that variable.
4x - 3y = 11
2x - 5y = 25
solve using elimination and substitution method
Answers
Answer:
hope it helps forget about my writing
Answer:
(-1.43, -5.57)
Step-by-step explanation:
Elimination:
First we need to line up x or y to be the opposite so they can be eliminated:
4x - 3y = 11
-2( 2x - 5y = 25) which is
-4x + 10y = -50
Next step we cancel out the x but adding both equations which would isolate the y:
7y = -39
y = -5.57
After finding y, plug it back into the equation to find x:
4x - 3(-5.57) = 11
4x + 16.71 = 11
4x = -5.71
x = -1.43
To ensure it is correct, we can plug it back into both equations:
4(-1.43) - 3(-5.57) = 11
2(-1.43) - 5(-5.57) = 25
Solve the inequality.
8 + 12x < -16
Answers
Answer:
x < - 2
Step-by-step explanation:
I hope this helps.
Answer:
x < -2
Step-by-step explanation:
1) 12x+8< -16 Rearrange the expression
2) 12x < -16+8 Separate the constants and variables
3) 12x< -24 Add the the number
4) 12x/12 < -24/12 Divide both sides by 12
5) x< -2 Answer
Hope that helps.
complete the ratio table below
Answers
You decide to get an estimate on the cost of repairs for the green food truck
The mechanic explains that the cost of the repairs comes out to be about
$9,500. This price includes the cost of labor and the cost of the parts needed
to do the repairs. If labor costs are 3/5 the cost of the parts, how much
would you save by doing the repairs yourself and just purchasing the parts?
Answers
Answer:
$3562.50
Step-by-step explanation:
If the cost ratio is ...
labor : parts = 3/5 : 1 = 3 : 5
then the ratio of labor to the whole cost is ...
labor : total = 3 : (3+5) = 3 : 8
The amount saved by not paying for labor is ...
(3/8) × $9500 = $3562.50 . . . labor charge
CAN SOMEONE PLEASE HELP IVE BEEN ASKING FOREVER FOR SOME HELP
Answers
Answer:
i believe its b. but im not 100% sure though!
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
(lol optional): add my sc: tealyn337
need help asap please
Answers
Answer:
[tex]\displaystyle 77[/tex]
Step-by-step explanation:
Isosceles triangles will always tell you what you need to know. All angles are congruent, therefore all edges are congruent. ♂️
I am joyous to assist you at any time.