1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga_2 [115]
3 years ago
13

The table represents the linear function f(x), and the equation represents the linear function g(x). Compare the y-intercepts an

d slopes of the linear functions f(x) and g(x) and choose the answer that best describes them. x f(x) 0 1 2 4 4 7 g(x) = 2x + 1
Mathematics
1 answer:
likoan [24]3 years ago
3 0

Answer:

y-intercept of f(x) = 1

y-intercept of g(x) = 1

The slope of f(x) = 1.5

The slope of g(x) = 2

Step-by-step explanation:

 x   :   0    2    4

f(x) :   1     4    7

The table x , f(x) represents a linear function

The linear function has the form y = mx + c

where m is the slope and c is y-intercept

m = (y₂-y₁)/(x₂-x₁) = (7-4)/(4-2) = 3/2 = 1.5

y-intercept is the value of y at which x = 0

From the table at x = 0 ⇒y= f(x) = 1 ⇒ c = 1

∴ f(x) = 1.5x + 1

And given g(x) = 2x + 1

We will Compare the y-intercepts and slopes of the linear functions f(x) and g(x)

y-intercept of f(x) = 1

y-intercept of g(x) = 1

The slope of f(x) = 1.5

The slope of g(x) = 2

So, y-intercept of f(x) = y-intercept of g(x) = 1

And The slope of g(x) is greater than The slope of f(x)

You might be interested in
A rope is 72 feet long. What is the length of the rope in yards
Lostsunrise [7]
The answer would be 24 yards. This would be 24 because 3 feet equal one yard so 3/72 is 24 or 24•3.
6 0
3 years ago
Help please for today
miskamm [114]

Answer:

<em>y: (0 , 2.5)</em>

<em>x: (3.5 , 0)</em>

Step-by-step explanation:

Y-intercept : (0 , 2.5)

X-intercept: (3.5 , 0)

When looking at the intersection on the y-axis, the x-coordinate will be 0. And when looking at the intersection on the x-axis, the y-coordinate will be 0.

8 0
3 years ago
an elephant at the zoo lost 24 pounds over 6 months. The elephant lost the same amount of weight each month. Write an integer th
Viefleur [7K]


The elephant lost 4 pounds each month. Because he is losing weight, and not gaining weight, you have to make the answer negative
3 0
3 years ago
There are 6 diagonals that can be drawn from one vertex of an octagon, true or false.
FinnZ [79.3K]
It's False; an octagon has 8 vertices. When you remove the starting vertex and the two adjacent vertices we're left with 5 possible diagonals
6 0
3 years ago
The sum of two consecutive ODD integers is -76. Find the integers.​
alexandr1967 [171]

Answer:

First number: -39

Second number: -37

Step-by-step explanation:

An odd number can be written as 2n+1 where n is a whole number.

Let's call our first number 2n+1.

Our second, consecutive number will be 2 more than our first number, since it has to be odd. All numbers go: odd -> even -> odd -> even. If we have an odd number, and add 2, we'll get the next odd number.

First number: 2n+1

Second number: 2n+1+2 = 2n+3

The sum of these two numbers, 2n+1 and 2n+3 will be -76.

(2n+1) + (2n+3) = -76

2n + 2n + 1 + 3 = -76

4n + 4 = -76

4n = -80

n = -20

Since our first number is 2n+1:

2 * (-20) + 1 = -40 + 1 = -39

First number: -39

Our second number is 2n+3, or 2 more than our first number.

-39 + 2 = -37

Second number: -37

We can double check this:

-39 + (-37) = -39 - 37 = -76

7 0
3 years ago
Other questions:
  • Find the quotient: (5x3 − 2x2 + x − 4) ÷ (x − 3)
    14·1 answer
  • Solve for
    5·2 answers
  • If the number of $8 child tickets is 17 less than 3 times the number of $12 adult tickets and the theater took in $584, how many
    14·2 answers
  • The sum of two numbers is 11 and their product is 18. Find the numbers.
    6·1 answer
  • A circle with radius of 4cm sits inside a circle with a radius of 11cm. What is the area of the shaded region?
    15·1 answer
  • Using a directrix of y = −3 and a focus of (2, 1), what quadratic function is created?
    13·1 answer
  • Y=f(x)= (1/2)^x <br> find f(x) when x= 3
    9·1 answer
  • !50 POINTS!
    9·1 answer
  • Wat is 9 / 10 of one minute
    15·2 answers
  • BOOKMARK
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!