Answer:
Factored form is 4x(2x+3)
Step-by-step explanation:
The factors are
8x^2 ----> 2*2*2*x*x
12x -------> 2*2*3*x
GCF is 2 * 2 * x= 4x
Now we factor out GCF from 8x^2 + 12x
When we factor out GCF, divide each term by 4x
4x(2x +3)
Factored form is 4x(2x+3)
b. the line that minimizes the vertical distances of the data points from the line.
c. the line such that half of the data points fall above the line and half fall below the line.
d. All of the choices are correct.
Answer:
a. the line that passes through the most data points.
Step-by-step explanation:
Regression analysis, is used to draw the line of‘ best fit’ through co-ordinates on a graph. The techniques used enable a mathematical equation of the straight line form y=mx+c to be deduced for a given set of co-ordinate values, the line being such that the sum of the deviations of the co-ordinate values from the line is a minimum, i.e.
The least-squares regression lines is the line of best fit
C(P(x)) = 0.9x – 150 is the correct answer.
Answer:
Step-by-step explanation:
To find the highest common factor (HCF) of 12x^12 and 16x^16, we need to factor both expressions.
12x^12 = 2^2 * 3 * (x^2)^6
16x^16 = 2^4 * (x^2)^8
The common factors of 12x^12 and 16x^16 are 2^2 and (x^2)^6. To find the HCF, we take the product of these common factors:
HCF = 2^2 * (x^2)^6 = 4x^12
Therefore, the highest common factor (HCF) of 12x^12 and 16x^16 is 4x^12.
To find the HCF of 12x^12 and 16x^16, break down the terms into prime factors and take the lowest exponent for each common prime factor.
To find the highest common factor (HCF) of 12x^12 and 16x^16, we need to determine the largest number or expression that divides both 12x^12 and 16x^16 without leaving a remainder.
First, let's break down the terms into their prime factors:
12x^12 = 2^2 * 3 * (x)^12
16x^16 = 2^4 * (x)^16
Next, compare the prime factors and take the lowest exponent for each prime factor. In this case, the common factors are 2^2 and (x)^12. Multiplying these together gives us the HCF: 4x^12.
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Answer:-1/4
Step-by-step explanation:
i dont know how to step by step
P(x) has a constant term of -2
P(x) has an x-intercept of -2
Both P(x) has a factor (x+2) and P(x) has an x-intercept of -2
Answer: Both P(x) has a factor (x+2) and P(x) has an x-intercept of -2
Explanation: if a polynomial has a factor (x-a) it means its form can be written as:
(x-a)*(rest of polynomial)=0
and thus "a" is a root because the entire expression becomes 0 when x=a. In this case a=-2
An x-intercept is a point on the curve intersecting the x axis with coordinates (a, 0) where a is one of the roots. As shown above x=-2 will make the expression 0, so y=0 for x=-2. In other words there is a point (-2,0), which means -2 is the x-intercept.