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
Alexandra [31]
4 years ago
13

Can some help me with this problem

Mathematics
1 answer:
Svetlanka [38]4 years ago
3 0

Answer:


Step-by-step explanation:

So let's find the equation of the line for f(x). We know the y-intercept, also known as b in the equation of the line for f(x), is 3. (b = y-intercept = 3)

y = mx + <u>b</u>

y = mx + <u>3</u>

Now, to find the slope you must use the formula of...

(y₂ - y₁) / (x₂ - x₁)

We have two points of the line already shown. We will now use the formula to find out the slope.

(3 - 1) / (0 - 1) = 2 / -1 = -2, the slope is -2. (m = slope = -2)

y = <u>m</u>x + 3

y = <u>-2</u>x + 3

Now check the following statements and see which ones are true.

A is <em>not </em>a true statement.

B is <em>not </em>a true statement because a slope of -6 is steeper than -2. The negative slope only changes the direction of the line.

C is <em>not </em>a true statement because the slope of f(x) is not undefined.

D <u>is</u> a true statement because the line of f(x) is less steep than the slope of g(x).

KEEP IN MIND THE SLOPE IS M IN THE EQUATION OF A LINE.


You might be interested in
If there are 300 cars and 80 of them are black, what percent of the cars are black
kari74 [83]

The percentage of cars that are black when 80 cars of 300 cars are black is 26.67 or 26 2/3 %.

The percentage is similar to the fractional representation of quantities, where the quantity is shown as a part of the whole, but here the whole is fixed to be 100.

To derive a percentage in fractional form, we divide it by 100.

To derive a fractional form in percentage, we multiply it by 100.

In the question, we are given that 80 cars of 300 cars are black.

We are asked the percentage of cars that are black.

The fraction representing black cars of whole cars can be shown as 80/300 = 4/15.

To convert this into a percentage, we multiply it by 100.

Thus, the percentage of cars that are black = 4/15 * 100% = 80/3% = 26 2/3% = 26.67%.

Thus, the percentage of cars that are black when 80 cars of 300 cars are black is 26.67 or 26 2/3 %.

Learn more about percentages at

brainly.com/question/843074

#SPJ4

5 0
2 years ago
Because of Theorem 5.47 any function that is continuous on (0, 1) but unbounded cannot be uniformly continuous there. Give an ex
almond37 [142]

Answer:

f: (0,1) \to \mathbb{R}

f(x) = \sin(1/x)

Step-by-step explanation:

<u>f is continuous</u> because is the composition of two continuous functions:

g(x) = \sin(x) (it is continuous in the real numbers)

h(x) = 1/x (it is continuous in the domain (0,1))

<u>It is bounded</u> because -1 \leq \sin(\theta) \leq 1

<u>And it is not uniformly continuous</u> because we can take \varepsilon = 1 in the definition. Let \delta > 0 we will prove that there exist a pair x,y\in \mathbb{R} such that |x-y|< \delta and |f(x) -f(y)|> \varepsilon = 1.

Now, by the archimedean property we know that there exists a natural number N such that

\frac{1}{N} < 2\pi \delta

\Rightarrow \frac{1}{2\pi N} < \delta.

Let's take x = \frac{1}{2\pi N + \pi/2} and y = \frac{1}{2\pi N + 3\pi/2}. We can see that

|x-y| = \frac{1}{2\pi N + \pi/2}-\frac{1}{2\pi N + 3\pi/2}

And also:

|f(x)- f(y)| = |f(2\pi N + \pi/2) - f(2\pi N + 3\pi/2)| = |1 - (-1)| = 2 > \varepsilon

And we conclude the proof.

8 0
3 years ago
Fill in the inequality first ( ) and then the number: x ____ ____
Alborosie

Answer:

x < 88

Step-by-step explanation:

ΔCED and ΔCEF

DE = EF      CE = CE      CF < CD

∠FEC < ∠DEC

x - 13 < 75

x < 88

3 0
3 years ago
Which best describes the numbers satisfying the inequality x &lt;7?
likoan [24]

Answer:

(B) all numbers less than 7

Step-by-step explanation:

Given the inequality:

x<7

It means that:

  • x cannot be equal to 7
  • x cannot be greater than 7

Therefore, x<7 consists <u>of all numbers less than 7.</u>

3 0
3 years ago
Read 2 more answers
Can someone help please asap
jek_recluse [69]

make a point 4 lines above 0,0. from here, make a point 6 spaces right and 7 spaces up. from 0,4 make another point 6 spaces left and 7 spaces down. connect them with a straight edge and draw a line connecting them.

the points will be:

-6,-3

0,4

6,11

7 0
3 years ago
Other questions:
  • A tree trunk has a diameter 50cm and a height 7.9m.
    6·1 answer
  • How many times does 36 go into 86.?
    12·1 answer
  • What is the solution set of the system of inequalities 5x&lt;8+4y and 2y≤6?
    11·1 answer
  • How many cubic centimeters are there in 2.11 yards^3
    6·2 answers
  • Consider the set of A={0,3,5,8}​
    5·1 answer
  • G(t) = −3t^3 − 4t f (t) = 4t − 4 Find g(t) + f (t)​
    15·1 answer
  • Round the decimals to whole numbers to estimate first, then
    11·1 answer
  • If you answer it correctly I will give 100 points and give brainliestSolve for the variable in the following proportion.
    10·1 answer
  • Please help with number 7
    14·1 answer
  • You want a $60 video game. Your brother said he will pay for 30%. How much money will your brother pay? (HURRY PLEASEEE)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!