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blagie [28]
3 years ago
13

Help me pleaase

Mathematics
1 answer:
Zina [86]3 years ago
4 0

you can do it by taking the intercepts of the graph and putting them into slope intercept form

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When x = a is a zero of a polynomial function f, the three statements below are true.
Lunna [17]

Answer:

x = a is a zero of a polinomial f(x), this is the same than: f(x) has a root at x = a

Then: f(a) = 0.

a) x = a is a ____ of the polynomial equation f(x) = 0.

If we define f(x) = 0, then x = a is a solution of the equation.

Then the complete sentence is:

x = a is a solution of the polynomial equation f(x) = 0.

b) ____ is a factor of the polynomial f(x).

Remember that if a polynomial p(x) of degree n has the roots x₁, x₂, ..., xₙ

Then we can write p(x) in the factorized form as:

p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

Where A is a real number.

Then if in this case we know that a is a root of f(x), then (x - a) is a factor of the polynomial f(x), then the complete sentence is:

(x - a) is a factor of the polynomial f(x).

c) (a, 0) is a ____ of the graph f(x)

We usually use the notation y = f(x).

Then the points of the form (x, f(x)) are the points that belong to the graph of f(x).

In this case, the point (a, f(a)) = (a, 0)

This point belongs to the graph of f(x), then the complete sentence can be written as:

(a, 0) is a point of the graph f(x).

4 0
2 years ago
Ryan bought 6 apples and 9 peaches for a total of $7.86. Maya bought 4 apples and 5 peaches for $4.82. How much are apples and p
nekit [7.7K]
Apples are $0.68 and peaches are $0.42.

To find these values, we need to write and solve the following system of equations.

6x + 9y = 7.86
4x + 5y = 4.82

Multiply the first equation by 2 and the second by -3.

12x + 18y = 15.72
-12x - 15y = 14.46

Add the equations together.
3y = 1.26
y = 0.42

Sub in 0.72 and solve for x in either equation and you will get x = 0.68.

5 0
3 years ago
John read the first 114 pages of the novel, which was 3 less than 1/3 of the novel
Nastasia [14]
Let p = total pages in the book 
<span>114 pages of a novel which was 3 pages less than 1/3 </span>
<span>114 was 1/3 total pages - 3 pages </span>
<span>114 = 1/3p - 3</span>
6 0
3 years ago
Read 2 more answers
Sentence with the word hawk sentences have to be first grade level and understandable to a first grader(A first grader can under
Ghella [55]
A hawk is a bird that flies.
4 0
3 years ago
Read 2 more answers
17. When a single set of values is randomly divided into two equal groups, explain how the means of these two groups may be very
joja [24]

If you take 2 groups of equal cardinality, it could happen that, for example, many of the higher values go to the first group and therefore, many of the low values go to the second group, making their respective means quite different and different from the original sample mean. This could even go worse due to the possible existence of outliers, that is, values that are far different than the sample mean. An outlier tend to disrup the mean of a sample, but for smaller samples the result is much dramatic.

For example, let X be {1,2,3,4,5,6,7,8,9,100}

The elements of X sum 145, hence the mean of X is 14,5. Let divide X in two groups

Y = {1,2,3,5,9}

Z = {4,6,7,8,100}

The elements of Y sum 20, so its mean is 4

The elements of Z sum 125, so its mean is 25

Both means are quite different from each other and quite different from the mean of X. Note that if we take the mean of the means the result is 4+25/2 = 14,5 which is equal to the mean of X.

7 0
3 years ago
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