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zzz [600]
3 years ago
8

Does y = -5x represent a proportional relationship?

Mathematics
1 answer:
Oduvanchick [21]3 years ago
7 0

Answer: No

Step-by-step explanation: A proportional relationship can be described by an equation of the form y = kx, where k is a number called the constant of proportionality.

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the probability of drawing a red coin after three red coins are put back in the bag to replace the blue one that has been remove
Wewaii [24]
4? I'm not sure. Just guessed. 
3 0
3 years ago
What is the answer please.... need help
mina [271]

Answer:

f\left(x\right)=x^3-6x^2+3x+10 is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Step-by-step explanation:

Given the function

f\left(x\right)=x^3-6x^2+3x+10

As the highest power of the x-variable is 3 with the leading coefficients of 1.

  • So, it is clear that the polynomial function of the least degree has the real coefficients and the leading coefficients of 1.

solving to get the zeros

f\left(x\right)=x^3-6x^2+3x+10

0=x^3-6x^2+3x+10              ∵  f(x)=0

as

Factor\:x^3-6x^2+3x+10\::\:\left(x+1\right)\left(x-2\right)\left(x-5\right)=0

so

\left(x+1\right)\left(x-2\right)\left(x-5\right)=0    

Using the zero factor principle

if  ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

x+1=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0

x=-1,\:x=2,\:x=5

Therefore, the zeros of the function are:

x=-1,\:x=2,\:x=5

f\left(x\right)=x^3-6x^2+3x+10 is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Therefore, the last option is true.    

8 0
3 years ago
What is the slope of this line?
lianna [129]
The slope would be 0.
5 0
3 years ago
Read 2 more answers
Suppose you have the following information. 12% of all drivers do not have a valid driver’s license, 6% of all drivers have no i
lubasha [3.4K]

Answer:

e) 0.14

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a driver does not have a valid driver's license.

B is the probability that a driver does not have insurance.

We have that:

A = a + (A \cap B)

In which a is the probability that a driver does not have a valid driver's license but has insurance and A \cap B is the probability that a driver does not have any of these things.

By the same logic, we have that:

B = b + (A \cap B)

We start finding these values from the intersection.

4% have neither

This means that (A \cap B) = 0.04

6% of all drivers have no insurance

This means that B = 0.06. So

B = b + (A \cap B)

0.06 = b + 0.04

b = 0.02

12% of all drivers do not have a valid driver’s license

This means that A = 0.12

So

A = a + (A \cap B)

0.12 = a + 0.04

a = 0.08

The probability that a randomly selected driver either fails to have a valid license or fails to have insurance is about

P = a + b + (A \cap B) = 0.08 + 0.02 + 0.04 = 0.14

So the correct answer is:

e) 0.14

8 0
3 years ago
2. Alicia is writing the program for a video game. For one part of the game she uses the rule to move points on the screen.
Gwar [14]

<em>Complete Question:</em>

<em>Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y)->(x-3,y+4) to move points on the screen. </em>

<em>A) what output does the rule give when the input is (-6,0)? </em>

<em>B)What output does the rule give when the input is (3,-4)? </em>

<em>C) Is the rule a function? Explain why it is or why it is not </em>

Answer:

a. The output is (-9,4)

b. The output is (0,0)

c. See Explanation

Step-by-step explanation:

Given

Rule: (x,y)->(x - 3, y + 4)

Solving (a):

Inputs:

x = -6

y = 0

The outputs is as follows;

x => x - 3

x => -6 - 3

x => -9

y=> y + 4

y=> 0 + 4

y=> 4

Hence:

The output is (-9,4)

Solving (b):

Inputs:

x = 3

y = -4

The outputs is as follows;

x => x - 3

x=>3-3

x = 0

y=> y + 4

y=>-4+4

y=>0

Hence:

The output is (0,0)

Solving (c):

The function is a rule and the rule is that:

It shifts the graph left by 3 units and up by 4 units

5 0
3 years ago
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