Answer:
You can use the point intercept equation that uses the slope and a coordinate pair to get the equation
Step-by-step explanation:
in photo
Answer:
Table 1(red)
Step-by-step explanation:
A proportional relationship will have a constant of proportionality between y and x all through the data given.
Constant of proportionality, k = y/x
Table 1 (red):
y/x = 5/1 = 10/2 = 20/4 = 5
k = 5 all through, therefore, this table show a proportional relationship between x and y
Table 2 (blue):
y/x = 1/6 ≠2/9 ≠ 4/15
This doesn't have a constant of proportionality, k, that is the same all through in the given table of values. Therefore, it doesn't show any proportional relationship between x and y
Answer:
Yes, I agree
Step-by-step explanation:
For the cubic function
A cubic function is represented as:

A cubic function may have 1, 2 or 3 x intercepts. This is shown below
For 3 x intercepts
Equate y to 0

Expand

Express
as difference of two squares

<em>x = 0 or 1 or -1</em>
For 2 x intercepts

Equate y to 0

Expand

<em>x= 5 or x = -7</em>
For 1 x intercept

Equate y to 0

Take cube roots of both sides

It has been shown above that a cubic function may have 1, 2 or 3.
So, I agree to the statement
For the quadratic function
A quadratic function will not have any x intercept when the function can not be factorized;
E.g.

<em>The above function has no x intercept.</em>
A quadratic function will have at least 1 x intercept when the function can be factorized;
E.g.

Equate y to 0

Expand



We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)
Hence, I agree to both statement
There are 8 possible outcomes for a marble being drawn and numbered.
{1,2,3,4,5,6,7,8}
There are 4 possible outcomes for a card being selected from a standard deck.
{ <span>hearts, diamonds, clubs, spades}
So the number of outcomes in the sample space would be 8 x 4 = 32.
In the event "an even number is drawn", there are only 4 possible outcomes for a marble being drawn, {2,4,6,8}, whereas there are still 4 possible outcomes for a suit. So the number of outcomes in the event is 4 x 4 = 16.
</span><span>In the event "a number more than 2 is drawn and a red card is drawn", there are 6 possible outcomes for the marble being drawn, {3,4,5,6,7,8}, whereas there are only two possible suits for a card being selected as red, {heart, diamond}. So the number of outcomes in this event is 6 x 2 = 12.
In the event </span><span>"a number less than 3 is drawn or a club is not drawn", the number drawn could be 1 or 2 whereas a spade/heart/diamond could be selected. So the number of outcomes is 2 x 3 = 6.</span><span>
</span>
Answer:
A. g(x) = 42 - 0.6x
Step-by-step explanation: