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vitfil [10]
3 years ago
10

Use the drawing tool(s) to form the correct answer on the provided number line.

Mathematics
1 answer:
miskamm [114]3 years ago
7 0

Answer:

x= 1, x= 4, and x= -3

Step-by-step explanation:

Use the possible combinations of factors of the constant term of the polynomial to find a first root. Try 1, -1, 2, -2, 3, -3, etc.

Notice in particular that x = 1 is a root (makes f(1) = 0):

f(1)=x^3-2*1^2-11*1+12=1-2-11+12=13-13=0

So we know that x=1 is a root, and therefore, the binomial (x-1) must divide the original polynomial exactly.

As we perform the division, we find that the remainder of it is zero (perfect division) and the quotient is: x^2-x-12

This is now a quadratic expression for which we can find its factor form:

x^2-x-12=x^2-4x+3x-12=x(x-4)+3(x-4)=(x-4)*(x+3)

From the factors we just found, we conclude that x intercepts (zeroes) of the original polynomial are those x-values for which each of the factors: (x-1), (x-4) and (x+3) give zero. That is, the values x= 1, x= 4, and x= -3. (these are the roots of the polynomial.

Mark these values on the number line as requested.

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the Elegant Farmer grocery store buys bushels of apples each week. Calculate the weighted average price paid per bushel based on
Llana [10]
The price of the bushel is 1.22, 1.41, 1.38, and 1.27.

To calculate the weighted average, all you need to is to just add all the values given above and then divide it by 4, since we only have 4 values of the bushel.

So: 1.22 + 1.41 + 1.38 + 1.27 = 5.28

5.28 / 4  = 1.32

Round it off to only two significant figures, you would get: $1.30.
8 0
3 years ago
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slava [35]

The y-intercept is 2, and the x-intercept is -4 and 2 where the line segment crosses the y-axis and x-axis.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

Where the line segment crosses the y-axis is the y-intercept,

And where the line segment crosses the x-axis is the x-intercept,

From the graph,

y-intercept is at (0,2)

x-intercepts is at (-4,0), (2,0)

Thus, the y-intercept is 2, and the x-intercept is -4 and 2 where the line segment crosses the y-axis and x-axis.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

6 0
2 years ago
Read 2 more answers
Solve the equation 5x + 7y = 35 for y
Stolb23 [73]
Y=(-5/7)x+5

Subtract 5x over to the right side to isolate y. then divide everything by 7. Hope this helps
7 0
3 years ago
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Correo electrónico Andrew tarda 720 segundos en ducharse. Pasa otros 420 segundos ¿Cuántos minutos se tarda Andrew en ducharse y
yarga [219]

Answer:Andrew tarda 19 minutos en ducharse y desayunar

Explicación paso a paso:

720 seg de ducharse + 420 segundos de su desayuno dan igual a 1140 segudnos

a este numero de segundos hay que pasarlo a minutos. El resultado es 19 minutos que son 1140 segundos

Step-by-step explanation:

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2 years ago
Factor the trinomial step by step &amp; explain 2x^2+ 5x + 3
Colt1911 [192]

Answer:

One way to factor equation is to find the zeros. Its obvious that x=-1 is solution for this. So one factor is (x+1)

the next factor should include 2x at first (because we have 2x^2 in the equation which can not be made any other way)

Let's suppose the factor is (x+1)(2x+b)

Since we do not know what is b open the brackets 2x^2+bx+2x+b. If this is equal to 2x^2+5x+3 then b=3. We are left with (x+1)(2x+3)=2(x+1)(x+3/2)

Would go for other shorter solutions, but they require some deeper understanding like Horner's scheme,Fermat's Theorem or even deeper which I assume You will not understand)

8 0
3 years ago
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