15 plus 45 expressed in distributive property is
<em><u>Solution:</u></em>
We have to write distributive property to express 15 plus 45
The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum
<em><u>The distributive property can be generally expressed as follows:
</u></em>
ab + ac = a(b + c)
<em><u>The given expression is:
</u></em>
15 + 45
This can be expressed as:
<em><u>Therefore, the given expression can be written as:</u></em>
Taking 15 as common factor,
Thus the above expression is of distributive form
Answer:
The correct option is;
The situation shows correlation without causation
Step-by-step explanation:
The given data are;
Weight y Miles Per Gallon
42 18
36 12
30 6
. x
24 0
The first difference of the data = 42 - 36 = 36 - 30 = 30 - 24 = 6
18 - 12 = 12 - 6 = 6 - 0 = 6
The first difference of the data is constant and equal to 6
Therefore, the graph is a straight line graph with y-intercept = 24 and slope given by the rate of change of the weight to the miles per gallon of fuel consumption as follows;
The rate of change of the weight to the miles per gallon of fuel consumption is given as follows;
(42 - 24)/(18 - 0) = 1
Therefore, the points of the data fit into the straight line and the data of the situation shows correlation
In order to show causation, and to rule out other possible causes for the rise in MPG, a separate experiment will be required whereby the cause for the rise in MPG can be determined.
Answer:
8 + d = 43
Step-by-step explanation:
The answer is -10b and it can be solved by any one who put his mind forward
we have
Since the leading coefficient is negative, the function has a maximum
Let
y=f(x)
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
the vertex is the point
therefore
<u>the answer is the option </u>
A. Maximum at (1, 1)