The table below represents a linear function f(x) and the equation represents a function g(x):
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)
Answers
Answer:
Step-by-step explanation:
Part A
for f(x) slope between points (-1,-6) and (1,0)
m= y2-y1/x2-x1 = -6-0/-1-1 = -6/-2= 3
for g(x) slope m=4 because we compare to equation y=mx+b the given equation g(x)=4x-5
The slope of f(x) is 3 and the slope g(x) is 4 so the line of g(x) is steeper
part B
The y intercept for g(x) is (0, -5)
The equation of f(x) can be found
y-y1 =m(x-x1) take any point for example point (1,0)
y-1 =3(x-0)
y=3x+1 so the y-intercept is at (0,1)
The y-intercept for f(x) is greater at y=1 then the one of g(x) at y=-5
Related Questions
What value does the digit 3 represent after 2,734 is multiplied by 1,000?
Answers
Answer:30,000
Step-by-step explanation:
Find each percentage of 75. Explain your reasoning.
What is 10% of 75?
What is 1% of 75?
What is 0.1% of 75?
What is 0.5% of 75?
Answers
HOPE THIS HELPS:)
Natural gas high amounts of energy when burned and produces less air pollution than other fossil fuels.
true or false??
Answers
A rectangular garden is 45 feet long and has perimeter 150 feet. Rows
of plants are planted 3 feet apart. Find the area of the garden.
Answers
perimeter=l+l+b+b=45+45+b+b=150
b+b=150-45-45=60
b=60÷2=30
area=lxb=45x30=135
the area is 135 feet.
how many solutions does -2(14-12x)= -4(10-6x) have ?
Answers
Answer:
infinite
Step-by-step explanation:
x
This graph shows the amount of charge left on my
computer, c, after I have been awake for h hours.
How many hours will I have been awake when my
computer has no charge left?
Use the sketch tool if it helps you with your thinking.
Submit and Explain
Answers
Answer: It's 4.5 hope it's right, bye
Answer:
Step-by-step explanation:
hiiiiiii hiiiiiiiii ji
Answers
Answer:
hlo thanks for free points ❤️❤️
pls help me the tables shows the relationship between a number of movies tickets and cost which expression can be used to determine the constant proportionality? pls for 25 points
Answers
Answer:
H
Step-by-step explanation:
please help, im almost out of time
Answers
Answer:18
Step-by-step explanation:
I WILL GIVE BRAINLEST!!!!!!!
Frank earned x dollars the first week of his new job. He earned 5% more the
second week than the first week. Which expression represents the total amount of
money Frank earned for both weeks?
A. 1.50x
B. 1.05x
C. 2.00x
D. 2.05x
PLSSSSS SHOW YOUR WORK PLSSSSSSS
Answers
Answer:
D
Step-by-step explanation
10/5=2
10x0.02=0.05
2+0.05=2.05
Which set of transformations would prove triangle QRS ~ triangle UTS?? Help!
Answers
Answer:
A or the first one
Step-by-step explanation:
Only answer that has dialate (which makes the triangle bigger) and the other answers have translate which just move the triangle so you can eliminate them quickly
Given mn, find the value of x.
Answers
The answer is x =62
The value of the angle x in the given set of parallel lines is 62°.
Given that are two lines m and n which are parallel to each other, a transversal line t intersecting the lines at one point each making angles measuring 118° and x, which are opposite to each other, x is on line n whereas 118° is on m,
We need to find the value of x,
Here, we can use the property of corresponding angles to find the value of x.
Corresponding angles are formed when a transversal intersects two parallel lines, and they are congruent (equal) to each other.
In this case, the corresponding angle to the 118° angle on line m is the supplement of angle x on line n.
Since the corresponding angles are equal, we can set up the equation:
180° - x = 118°
x = 62°
Hence the value of x is 62°.
Learn more about corresponding angles click;
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what is the b in equation y=2x+12
Answers
Answer:
b = 12
Step-by-step explanation:
y = mx + b
b = 12
Answer:
the b is 12
Step-by-step explanation: y=mx+b
y−4=7(x−6) what is the ordered pair solution for this problem
Answers
Find the perimeter and area of the polygon with the given vertices.
W(5,−1), X(5, 6), Y(2,−1), Z(2, 6)
Answers
Answer:
Perimeter: 20, Area: 21
Step-by-step explanation:
Based on points (2,6) and (5,6) : w = 5 - 2 = 3 Base on points (5,6) and (5,-1 ): l = 6 - (-1) = 7 Perimeter: 2 x (3 + 7) = 20 Area: 3 x 7 = 21Which of the following is NOT a renewable resource?
Animals
Plants
Oil
Clothing
Answers
Answer:
Oil is not renewable because it uses fossil fuels from dinos, which do not exist anymore, so they are limited
Step-by-step explanation:
1. Martin was given 10 math problems, and he has answered 7 of them. what precent of problems does martin have left to do?
A) 3%
B) 7%
C) 30%
D) 70%
Answers
Martin still has 30% of the problems left to do.
Answer:
D)30%
Step-by-step explanation:
NOT TO
SCALE
Jo
The two containers are mathematically similar in shape.
The larger container has a volume of 3456 cm and a surface area of 1024 em'.
The smaller container has a volume of 1458 em.
Calculate the surface area of the smaller container,
[4]
Answers
Answer:
455.1 cm²
Step-by-step explanation:
The two containers have the following;
Large container
Volume : 3456 cm³
Surface area : 1024 cm²
Small container
Volume : 1458 cm³
Surface area : ?
If the two containers are mathematically similar then first find the volume scale factor
Volume of large/ volume of small
3456/1024 = 3.375
Length scale factor will be cube root of volume scale factor
∛3.375 = 1.5
Area scale factor is a square of the length scale factor
=1.5² = 2.25
=Surface area of the small container will be :
Larger area = 2.25 * small area
1024 = 2.25 * small area
1024/2.25 = small area
Surface area of the smaller container 455.1 cm².
Johnson Junior High School had 600 students. 25% of the students were in 6th grade, 36% of
the students were 7th graders, and the rest were 8th graders.
How many students were 8th graders?
Answers
61/600 x 100 = 10.1 %
Help on this please
Answers
Answer:
I got 25
I really hope that helps
Answer:
I got B. 25
Step-by-step explanation:
B is your answer
If Tamair has $100 & gives $40 to her best friend Tsion, but Tsion gives $20 to Tamair, how much money does Tamair have left?
A) 90
B) 80
C) Tamair is broke
D) Tsion is broke
Answers
Answer:
B) 80
Step-by-step explanation:
Thats my bestie so dont mess with her or its gonna be a problem
Which congruence theorem can be used to prove angle BDA triangle DBC?
С
B
D
A
OHL
O SAS
O AAS
O SSS
Answers
The answer is actually A. HL
The congruence theorem can be used to prove Δ BDA ≅ Δ DBC is HL.
Option A is the correct answer.
What is triangle congruency?There are ways to prove that two triangles are congruent.
- Side-Side-Side (SSS) Congruence.
The three sides of one triangle are equal to the corresponding three sides of another triangle.
- Side-Angle-Side (SAS) Congruence.
The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
- Angle-Side-Angle (ASA) Congruence.
The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.
- Angle-Angle-Side (AAS) Congruence.
We have,
We see that,
ΔBDA and ΔDBC are both right triangles.
Now,
DC = AB (hypotenuse) (given)
DB = DB ( Common sides )
CB = DA ( Remaining side of the right triangle )
ΔBDA ≅ ΔDBC
Proved by HL.
Thus,
The congruence theorem can be used to prove Δ BDA ≅ Δ DBC is HL.
Learn more about triangle congruency here:
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Plz Help The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region.
What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box
Answers
Answer:
I think it's 25? If I can edit I'll come back with answer..(if it's not 25.)
Step-by-step explanation:
ahhhh I need help please!!
Answers
Answer:
two teaspoons i think sorry if this doesnt help
Step-by-step explanation:
can someone please help me!!!!!
Answers
Answer:
5
120
20
Step-by-step explanation:
120
20 hope that helps:)
Please help fast I will give brainless an extra points!
Answers
Answer:
-23
Step-by-step explanation:
h(-3) = (-3)^3 + 4
= -27 + 4
= -23
Answer:
-23 hope that helps :)
Step-by-step explanation:
The table represents the equation y=2-4x. Use the drop-down menus to complete the statements.The x-values are the . The y-values are the . The missing value in the table for x = –1 is y =
Answers
Answer:
y=2-4x
y=2-4*1
y=2
y=2-4*2
y=2-6
y=-4
y=2-4*3
y=2-12
y=-10
The x values are the 1,2,3. The y values are the 2, -4,-10
y=2-4x
x=-1 , y=__
substitute x value with -1
y=2-4*-1
y=2-(-4)
y=2+4
y=6
x=-1, y=6
-5 + n/2 = -7 what does it equal?
Answers
n = -4 because youre finding the n
Answer:
n = -9
Step-by-step explanation:
Multiply 2 by both sides to cancel out the fraction which will leave -5 + n = -14. Lastly add 5 on both sides which the final answer would be n = -9.
Which quadrant is the following point in?
Point A (1,3)
Answers
Answer:
Its first quadrant bro.
How much closer to the sun is one planet than the other?
Answers
Answer:
C. 7.79 x 10^8
Step-by-step explanation:
Your Equation: (eight-point-one multiplied by ten to the eighth power) subtracted by (nine-point-one multiplied by ten to the seventh power)
so first we find out how much are in the parentheses :D
(8.7 x 10^8) = 870,000,000
(9.1 x 10^7) = 91,000,000
now you subtract 870,000,000 by 91,000,000.
870,000,000
- 91,000,000
---------------------
779,000,000
converted back to standard form...
7.79 x 10^8
(seven and seventy-ninths multiplied by ten to the eighth power)
<3 Enjoy,
Dea
Answer:
i think the answer if C if y get it wrong im sooo sorry