factor g(x) =6x^3 +13x^2 -2x -1 if (2x + 3) is a factor.​

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Answer:

  6/5

Step-by-step explanation:

The slope formula is useful for finding the slope.

  m = (y2 -y1)/(x2 -x1)

  m = (-1 -11)/(-5 -5) = -12/-10

  m = 6/5

The slope of the line through the given points is 6/5.

Answer:

7/12 = 0.5833 = 58.33% experimental probability that the next flip will be heads up.

Step-by-step explanation:

Experimental probability:

An experimental probability is given by the number of desired outcomes divided by the number of total outcomes, considering a number of previous trials.

What is the experimental probability that the next flip will be heads up?

120 previous trials.

70 were heads.

So

[tex]p = \frac{70}{120} = \frac{7}{12} = 0.5833[/tex]

7/12 = 0.5833 = 58.33% experimental probability that the next flip will be heads up.

Answer:

uh i dont know lol im new how do i use this thing bahahaha

Step-by-step explanation:

Answer:

c. 8 1/4 inches.

Step-by-step explanation:

The snail crawls 2 3/4 inches in 1 minute.

In 3 minutes, it can crawl 2 3/4 x 3 inches.

= 8 1/4 inches.

Answer:

A sample size of 385 should be used.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

What sample size should be used (round the number up)

A sample of n should be used.

n is found when M = 5.

We have that [tex]\sigma = 50[/tex]

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]5 = 1.96\frac{50}{\sqrt{n}}[/tex]

[tex]5\sqrt{n} = 1.96*50[/tex]

Simplifying by 10

[tex]\sqrt{n} = 1.96*10[/tex]

[tex]\sqrt{n} = 19.6[/tex]

[tex](\sqrt{n})^2 = (19.6)^2[/tex]

[tex]n = 384.16[/tex]

Rounding up

A sample size of 385 should be used.

Step-by-step explanation:

I want to say B) 130 but not 100% sure. Sorry if my answer is wrong.

Answer:

3. A = (0,-3)

    B = (4,-2)

   C = (-1,1)

4. A = (0,-6)

    B = (4,-5)

   C = (-1,-2)

Step-by-step explanation:

3) Reverse coordinates (-3,0), (-2,4), (1,-1) to A=(0,-3), B=(4,-2), C=(-1,1).

4) These coordinates (0,-3), (4,-2), (-1,1) need to be moved 3 units down.

So number four answer is A=(0,-6), B=(4,-5), C=(-1,-2).

I hope this helped you.

Answer:

3)A = (0,-3)

B = (4,-2)

C = (-1,1)

4)A = (0,-6)

B = (4,-5)

C = (-1,-2)

Answer:

24 because hsbs. hwhvw w Whelan has w hahaha

The easiest way is to transform this equation to intercept form of straight line.

[tex]\\[/tex]

Intercept form of straight line:

where [tex]a[/tex] is the x intercept - where the graph intersects the x axis, and [tex]b[/tex] is the y intercept - where the graph intersects the y axis.

[tex]\\[/tex]

Given that,

[tex]2y + x = 20[/tex]

[tex] \longrightarrow \: \dfrac{2}{20}y + \dfrac{x}{20} = 1[/tex]

[tex] \longrightarrow \: \dfrac{x}{20} + \dfrac{y}{10} = 1[/tex]

On comparing with [tex]\dfrac{x}{a}+\dfrac{y}{b}=1,[/tex] we get,

Hence, the graph shall cut the x axis and y axis at 20 and 10 respectively. This information is enough to plot the graph.

[tex]\\[/tex]

Graph: Refer to the attachment.

Given:

The two models for the two polynomials.

To find:

The sum of the given polynomials.

Solution:

From the given figure, it clear that

[tex]\text{First polynomial}=a^2+a+2[/tex]

[tex]\text{Second polynomial}=-a-1[/tex]

Adding both polynomials, we get

[tex]Sum=a^2+a+2+(-a-1)[/tex]

[tex]Sum=a^2+a+2-a-1[/tex]

[tex]Sum=a^2+1[/tex]

Therefore, the correct option is A.

Allison ran 3/8 km (0.375 km) in 3 minutes.

Set up a proportion to find how long it takes for her to run 1 km

[tex]\frac{0.375\textrm{km}}{3 \textrm{min}} = \frac{1\textrm{km}}{x \textrm{min}}[/tex]

Cross multiply to get:

[tex]3 = 0.375x[/tex]

Solve:

[tex]x = \frac{3}{0.375}[/tex]

x = 8 minutes

Answer:

1/5

Step-by-step explanation:

Answer:

m= -1/4

Step-by-step explanation:

Points on the line: ( -4, -1) and (0, -2)

Slope:

m=(y2-y1)/(x2-x1)

m=(-2+1)/(0+4)

m=(-1)/4

m= -1/4

area=1/2(AB+0A)Ac=4cm

Answer:

28cm²

Step-by-step explanation:

Area of trapezium = 1/2×(6+8)×4

= 28cm²

Answer:

a.

Step-by-step explanation:

the formula is y2-y1/ x2-x1, so it would be -14-19/ 0- (-4) which simplifies to -33/4

Answer:

[tex]\huge\boxed{\tt{x = 24, y = 17}}[/tex]

Step-by-step explanation:

Let the greater number be x and the smaller number be y.

So,

Condition # 1:

x - y = 7 --------------(1)

Condition # 2:

3x = 72 --------------(2)

Taking Eq. (2)

3x = 72

Divide both sides by 3

x = 72 / 3

x = 24

Now, Put x = 24 in Eq. (1)

24 - y = 7

Subtract 24 to both sides

-y = 7 - 24

-y = -17

y = 17

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Step-by-step explanation:

2 1/12 miles per day

The number of miles Amy walked per day is given by the equation

A = 2 1/12 miles

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The total number of miles walked by Amy = 6 1/4 miles

The total number of miles walked by Amy = 25/4 miles

And , the number of days = 3 days

So , the number of miles per day A = total number of miles walked by Amy / number of days

Substituting the values in the equation , we get

The number of miles per day A = ( 25/4 ) / 3

The number of miles per day A = 25/12

The number of miles per day A = 2 1/12 miles

Hence , the equation is A = 2 1/12 miles

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

you add and subtract

Step-by-step explanation:

You need to match the sum/difference with the expression

Example -

A. 5x+2x 15x+2y (B)

B. 7x+8x+2y. 7x (A)

That's how you match it

Answer:

70

Step-by-step explanation:

20+36=56

(5+9)=14

56+14=70

Answer:

1.75 x 1.75

fillerfillerfiller

Answer:

Choice 1 is correct: 8/3 x 1/4 = 2/3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

1. Has been answered below

2. Degree of freedom is 4

Step-by-step explanation:

Row 1: 12+10+18 = 40

Row 2: 14+18+13 = 45

Row 3: 66+142+210 = 418

Grand total = 40+45+418 = 503

Column 1 : 12+14+66 = 92

Column 2: 10+18+142 = 170

Column 3: 18+13+210 = 241

Total = 92+170+241 = 503

Expected frequencies of diseased workers

92x40/503 = 7.316

170x40/503 = 13.52

241 x 40/503 = 19.165

Expected frequencies of sensitized workers

92x45/503 = 8.23

170x45/503 = 15.20

241x 45/503 = 21.56

2.

Degree of freedom

= (Number of row -1)(number of column - 1)

= 3-1 * 3-1

= 2x2

= 4

Answer:

|2x+1|=0 has one solutions

2|x+1|=-2 has no solution

|x+21|=2 has two solution

Step-by-step explanation: