The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −7 0 −1 1 5 g(x) g(x) = 5x − 4 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)

Answers

Answer 1
Question A:

Rewriting the table for f(x):

x      -1       0      1
f(x)   -7      -1      5

Notice that for every increase of one unit in 'x', there are an increase 6 units on f(x). Hence, the gradient of the slope of f(x) is 6. 

g(x) = 5x - 4 ⇒ This function follows the general form of the straight line equation, y = mx + c, where 'm' is the gradient and 'c' is the y-intercept.
Hence, the gradient of the slope of g(x) is 5.

The slope of f(x) is steeper than the slope of g(x).

---------------------------------------------------------------------------------------------------------------

Question B:

The y-intercept is the value of y where a straight line crosses the y-axis (or when x is zero).

From the table of f(x), the y-intercept is -1 (this is the value of 'y' when 'x' is zero)

From the given function g(x) = 5x - 4, the y-intercept is -4. 

f(x) has a greater y-intercept.




Related Questions

A. 12.2
B. 13.45
C. 16.87
D. 15.12

Answers

x is hypotenuse
10 is opposite leg

Use the sine

sin x = opp/hyp

sin 55 = 10/x

x = 10/sin 55 = 12.208

Answer: x = 12.2

Write as a sum of logarithms log 1/2 (abc)

Answers

We have log 1/2 (abc) = log 1/2 a + log 1/2 b + log 1/2 c;

Mr. Mask suggested contacting a travel agent to see whether they could get a lower price. The agent found a price that was 30% lower than $2075. What was the price the travel agent found? Explain and Show your work.

Answers

30% lower means it is 100-30 = 70% of the original price.

So the answer is (2075 * 70) / 100  = $1452.50
price 30% lower than $2075 = 70% of $2075
1) 70% of $2075?
2)convert 70% into a decimal( 0.70)
3)multiply $2075 by 0.70
4)$1452.00
5)The price the travel agent found was $1452.50

1. Please express your answer in scientific notation.
(6.0 x 10^5) x (3.0 x 10^4) =

A. 18 x 10^20
B. 18 x 10^9
C. 1.8 x 10^20
D. 1.8 x 10^10

Answers

Rearrange, group all the 10^smth togther
(6.0×3.0)(10^5×10^4)=18×10^9
B
The answer to this question is B

Joe was making mixed nuts. He used 2 1/4 pounds of peanuts and 3 1/5 pounds of cashews. How many pounds of mixed nuts did Joe make?

Answers

1. Make improper fractions with common denominators
2 1/4= 9/4=45/20
3 1/5=16/5=64/20

2. Add the factions
45+64=109
109/20

3. Divide the numerator by the denominator

109/20=5.45

4. Your answer is 5.45 pounds

Answer:

the answer is B.

Step-by-step explanation:

Trust me

What is the area of a section of pavement that is 20 ft wide and 50 yd​ long? give your answer in square feet?

Answers

Since this is supposed to be square feet, you need to multiply 50 by 3 to convert yards to feet. So, this is 20x150 square feet, which is 3000 square feet.

If a ray divides an angle into two complementary angles, then the original angle measures °

Answers

the original angle is a supplementary angle or 180 degrees as complementary angles are 90 degrees

Answer:

The original angle measures [tex]90^{\circ}[/tex].

Step-by-step explanation:

We are asked to find the measure of original angle, when a ray divides an it into two complementary angles.

We know that two complementary angles add up-to 90 degree.

Therefore, the original angle is a right angle or the measure of original angle is [tex]90^{\circ}[/tex].

How to find the equation of a parabola given the vertex and one point?

Answers

first, write down y=a(x-the x coordinate of the vertex)^2+the y coordinate of the vertex)
second, plug the x coordinate and coordinate of the given point in the above equation to find out a
For example, vertex is (1,2), the point is (3,4)
y=a(x-1)^2+2 
then plug in x=3, y=4 in the above equation to find out a
4=a(3-1)^2+2
4=4a+2
4a=2
a=1/2
the equation of the parabola with a vertex at (1,2) and passes through the point (3,4) is 0.5(x-1)^2+2
Final answer:

To find the equation of a parabola given the vertex and one point, use the vertex form of a parabola equation: y = a(x - h)² + k.

Explanation:

To find the equation of a parabola given the vertex and one point, you can use the vertex form of a parabola equation: y = a(x - h)² + k. Here's how:

Determine the values of h and k from the given vertex.Use the given point to substitute the values of x and y in the vertex form.Solve for a to find the equation of the parabola.

For example, if the vertex is (2, 3) and the point is (4, 5), the equation of the parabola would be y = 1(x - 2)² + 3.

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Which plane represents the bottom of the rectangular prism above?
A) Plane DGE
B) Plane AHC
C) Plane FGH
D) Plane EDC

Answers

This can be easily figured out. Check to see what points are on the bottom and that is your answer.

B

Jina purchased a prepaid phone card for $30 . Long distance calls cost 22 cents a minute using this card. Jina used her card only once to make a long distance call. If the remaining credit on her card is $25.82 , how many minutes did her call last?

Answers

19 minutes. subtract the new balance from the original total. divide by .22

If a number is divisible by both two and three then we can say the number is divisible by

Answers

Simple....

if it's divisible by BOTH 2 and 3.....

Then we can say the number is divisible by 6...

Thus, your answer.

simple it is divisible by both


is the answer is both 2 and 3

A class consists of 6 girls and 10 boys. if a committee of 3 is chosen at random from the class, find the probability th

Answers

6 x 10 = 60

 divide 60 by 3

 your answer is 20 :)

Hope that made sence

One way to find the total cost of a jacket for $55.80 with a sales tax of 2.7% is 55.80+0.027(55.80) write an equivalent expression to show another way to find the total cost

Answers

Final answer:

To find the total cost of a jacket with sales tax, you can either use the given expression or calculate the sales tax separately and add it to the original price.

Explanation:

To find the total cost of a jacket with a sales tax, you can use the expression 55.80 + 0.027(55.80) as mentioned in the question.

Another way to find the total cost is to calculate the sales tax first and then add it to the original price of the jacket. To do this, you need to multiply the original price of the jacket by the sales tax rate (2.7% or 0.027) and then add the result to the original price: 55.80 + (0.027 * 55.80).

PLEASE HELP!!







Which functions have graphs that are steeper than the graph of f(x)=−3x^2 ?

Select all correct answers.

A.)
k(x)=3x^2

B.)
j(x)=2x^2

C.)
g(x)=−4x^2

D.)
h(x)=−2x^2

E.)
m(x)=4x^2

Answers

Steepness in quadratic functions refers to how wide or narrow the graph is.

Positive/negative doesn't affect steepness in this situation so A would be out because it is essentially the same as the problem.

You would have to use graph transformations. When a number is front of the whole equation like how 3 is in front of x^2, it stretches the graph VERTICALLY making the graph MORE STEEP.

So which graphs has the largest coefficient (disregarding the negative signs)

It says graphs (with an s) so it would be C and E.

hope this helps C:

In a shopping mall, shoppers who use a reward points card get a 10% discount on every transaction. If the average transaction is $450 for customers with these cards, and $500 for other customers, what happens to the expected value of a transaction?

Answers

Final answer:

The expected value of a transaction decreases by 10% for customers using a rewards points card, going from $500 to $450 per transaction as they receive a 10% discount.

Explanation:

The question pertains to the expected value of a transaction at a shopping mall considering different discounts for customers who use a rewards points card. The expected value takes into account the average (mean) value of transactions and the discounts applied to those transactions. With shoppers using the rewards card receiving a 10% discount, the average transaction value for these customers is $450, compared to $500 for those without the card.

If we calculate the expected value for a transaction without considering the card, it would simply be the average transaction amount of $500. However, when including the rewards card usage, we have to account for the discount. Therefore, the expected value for a transaction from a customer using the rewards card is 10% less than $500, which equals $450. This means the expected value for a transaction with the card has decreased by $50 compared to customers without the card.

To summarize the effect, use of the rewards card reduces the expected value of transactions for the business, given that a discount is provided. On the other hand, it incentivizes customers with savings, potentially increasing customer loyalty and the frequency of visits, which might offset the decrease in expected transaction value in a broader business strategy.

What set of reflections would carry triangle ABC onto itself?

'triangle ABC on the coordinate plane with point A at 0, 2, point B at 2, 4, and point C at 3, 0.


x-axis, y=x, y-axis, x-axis

x-axis, y-axis, x-axis

y=x, x-axis, x-axis

y-axis, x-axis, y-axis, x-axis

Answers

y-axis, x-axis, y-axis, x-axis

Try to test apex B to reassure that it is correct.

Which statements must be true?

Select each correct answer.

UW=VW

UV=UK

JK=2VW

UW=12KL

UV¯¯¯¯¯∥JL¯¯¯¯¯

Answers

UW is 1/2 KL so that one is out 
UV is parallel to JL that's correct
JK is 2VW that's correct
UV and UK aren't congruent
UW and UV aren't congruent

The only correct statements in relation to the given triangle are;

JK = 2VW

UV ║ JL

1) UW = VW; This is not correct because we see that UW forms a parallel line to KV but there is nothing to show about it being equal to VW.

2) UV = UK; This is not correct because there is no sign of them being congruent to each other.

3) JK = 2VW; We see that UKVW forms a rhombus. This means that parallel sides are equal. Thus; UK = VW.

Since UK is equal to UJ from the triangle, then;

2UK = JK

Since UK = VW, then; 2VW = JK. Thus, the statement is true.

4) UW = 12KL; This is not correct because UW = KV = KL/2 from the diagram.

5) UV ║ JL; This statement is correct because from the diagram UV is a side of the parallelogram UVLW with UV parallel to WL since opposite sides of a parallelogram are equal.

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The average of your first three test grades is 78. what grade must you get on your fourth and final test to make your average 80?

Answers

You need to score 86

3 times the sum of 14 and a number is 57
what the equation to represent this

Answers

The answer is:
3 (n + 14) = 57
3(n+14)=57. and the answer is 5.

Mrs. Rodriquez has 24 students in her class. Ten of the student or boys. Jeff Claims that the ratio of boys to girls in the class must be 5:12. What is Jeff’s error and how can he correct it?

A. Jeff found the ratio of the number of boys to the total number of students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.

B. Jeff found the ratio of the number of boys to the total number of students. He needed to first find that there are 14 girls to get a ratio of 14:10 or 7:5.

C. Jeff did not write the ratio in the correct order. He should Of written as 24:10.

D. Jeff did not write the ratio in the correct order. He should of written it as 12:5

Answers

Jeff found the ratio of boys to students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.....answer is the first one
The correct answer is A. I hope I helped!

A bakery offers a sale price of $3.40 for 3 muffins. What is the price per dozen? The price per dozen muffins is $

Answers

Hey there,
In a dozen we have 12.. And 3 x 4 is equal to 12 
3 muffins= $3.40
12 muffins= $13.60 (x4)

Hope this helps :))

~Top

Tanner walked a total of 8 kilometers by making 2 trips to school. How many trips will Tanner have to make in all to walk a total of 12 kilometers?

Answers

3. every trip it's 4 kilometers, and 4 times 2 equals 8 so 4 times 3 equals 12 so yeah :))

The total number of trips is x to walk a total of 12 kilometers is 3 trips if Tanner walked a total of 8 kilometers by making 2 trips to school.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Tanner walked a total of 8 kilometers by making 2 trips to school.

Let the total number of trips be x to walk a total of 12 kilometers.

8 km → 2 trips

12 km → x trips

8x = 24

x = 24/8

x = 3 trips

Thus, the total number of trips is x to walk a total of 12 kilometers is 3 trips if Tanner walked a total of 8 kilometers by making 2 trips to school.

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Simmon made 2/3 of a pound of weighed pizza. He distributed the pizza to 6 of his friends. What was the weight of the pizza that each friend gets?

Answers

Each friend got 2/3 /6=2/18

The sum of the measures of two interior angles of a triangle equals 150°. What is the measure of the third angle?

A.30°
B.40°
C.50°
D.60°

Answers

Sum of all angles in a triangle = 180

3rd angle = 180 - 150 = 30

Answer: A

What two numbers can you multiply to get 130?

Answers

130 ÷ 2 = 65

Check it to make sure. 

2 × 65 = 130

65 and 2 can be multiplied to get 130.

Write a polynomial function of least degree with zeroes 0 and - 2. write your answer using the variable x and in standard form with a leading coefficient of 1.

Answers

x(x+2) = 0
x² + 2x = 0

What is the degree of the polynomial 5pq2−3p6+5p6q3−6p3q5 ?

Answers

when u have more then 1 variable, which this problem does, the degree is found by using the term that is greater (when adding the exponents)....

the degree of this is 9...

because :
5pq^2...this term has a degree of 3
3p^6...this has a degree of 6
5p^6q^3...this has a degree of 9
6p^3q^5....this has a degree of 8

so the degree of the polynomial is the highest one....and that is 9

The degree of the given polynomial [tex]5pq^2-3p^6+5p^6q^3-6p^3q^5[/tex] is   9

Explanation :

The given polynomial is [tex]5pq^2-3p^6+5p^6q^3-6p^3q^5[/tex]

Degree of the polynomial is the highest exponent value of the terms . To find out highest exponent , we add the exponents of each term

[tex]5pq^2----> 1+2=3\\-3p^6--->6\\+5p^6q^3--->6+3=9\\-6p^3q^5---> 3+5=8[/tex]

From this we can see that the highest exponent is 9.

so the degree of the given polynomial is 9

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True or false A scalene triangle can be equilateral

Answers

IT'S FALSE!! All the sides of a scalene triangle are UNEQUAL. YOU'RE WELCOME :D

Hence, The statement " A scalene triangle can be equilateral " is false .

What is scalene triangle?

A scalene triangle is a triangle in which all three sides are in different lengths, and all three angles are of different measures. However, the sum of all the interior angles is always equal to 180 degrees.

According to the question

A scalene triangle can be equilateral

Now according to the definition of scalene triangle :

A scalene triangle is a triangle in which all three sides are in different lengths, and all three angles are of different measures.

Therefore ,

It cannot be equilateral .

Hence, The statement " A scalene triangle can be equilateral " is false .

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what is 2340 divided by 53?

Answers

44.1 is the answer to that
     -
44.1

The (-) is there because the actual number is 44.1509433962

There are 184 students going on a field trip. there is 1 chaperone for four students. 50 students can fit on one bus how many busses with there be

Answers

184 / 4 = 46 chaperones needed

184 + 46 = 230 total people

230/50 = 4.6

 5 busses are needed


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