The solutions to the equation x4 + 2x3 + 24 = 13x2 + 14x occur at x = –4, x = –2, x = 1, and x = 3. At what points does the graph of the function f(x) = x4 + 2x3 – 13x2 – 14x + 24 intersect the x-axis?

A) (0, –4), (0, –2), (0, 1) and (0, 3)
B) (0, 4), (0, 2), (0, –1) and (0, –3)
C) (–4, 0), (–2, 0), (1, 0), and (3, 0)
D) (4. 0), (2, 0), (–1, 0), and (–3, 0)

Answer:

a. Probability of landing on red = [tex]\frac{1}{5}[/tex]

b. See Explanation

Step-by-step explanation:

Given

A Spinner

Number of section = 10 (equal sized)

Number of red section = 2

Required

- Probability of landing on red

- Describe the probability in words

Calculating the probability of landing on red

The formula used in calculating probability is as follows

Probability = Number of required outcomes / Number of possible outcomes

In this case, the number of required outcomes is the number of red section.

Hence, number of required outcomes  = 2

And the number of possible outcomes is the total section of the spinner

Hence, Number of possible outcomes = 10

By Substitution

Probability of landing on red = [tex]\frac{2}{10}[/tex]

Probability of landing on red = [tex]\frac{1}{5}[/tex]

Describe the probability in words

From (a) above, we have that the probability of the spinner landing on color red is [tex]\frac{1}{5}[/tex]

This means that, for every five times, you spin the spinner, it's likely that one of the outcomes will be red.

Answer:

Step-by-step explanation:

Th e answer would be 180

The area that Harry will pace 105 ft.²

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

If the area he paces divided by the area his apprentice paces equals three, then we can write it as;

J/a = 3

In ratio form,

J : a = 3 : 1

Where J. represent Harry and. a represent the apprentice. Hence,

Therefore, the area Harry will pace;

= ( 3/4) × 140 ft.²

= 105 ft.²

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Answer:

148

Step-by-step explanation:

19 round tables

13 rectangular tables

19 x 3 = 57

13 x 7 = 91

57 + 91 = 148

Answer:

[tex]148 \: \: chairs[/tex]

Step-by-step explanation:

[tex]19 \times 3 = \: \: \: \: \: \: 57 \\ 13 \times 7 = + 91 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 148[/tex]

Answer:

Tax rate = 6.8%

Total Currency = 9.95

Step 1:

68 / 100 = 0.68

Step 2:

0.68 * 9.95 = 6.766

I hope this helped!

Answer:

As in Decimal: 0.86602540378

Angle Tan=Sin/Cos

30°          1 √3 = √3 3

45°          1

60°     √3

Step-by-step explanation:

Answer: 0.8660

Step-by-step explanation:

In a right angle triangle

According to the diagram below

Sin60= opposite/hypothenus

Sin60= 1/square root of 2

Sin60= 0.8660

Answer:

490

Step-by-step explanation:

Let us first count the handshakes between two gremlins. There are 20 gremlins, so there must be 20*19/2=190 handshakes between two gremlins, making sure to divide by two to avoid over-counting.

There are 15 imps that shake hands with each of the 20 gremlins, which makes 15* 20 = 300 handshakes between imps and gremlins.

Adding these up, you have $300 + 190 = 490 total handshakes.

Hope this helps!

Answer:

n= 6

Step-by-step explanation:

subtract 3 from both sides of the equation

it should wind up like this:

9-3=n+3-3

plus 3 and minus 3 cancel out, 9 minus 3 equals 6 so then the equation changes to this:

n= 6

Answer:

BC = 12 m

Step-by-step explanation:

Since DE is a midsegment then it is one half the measure ot the third side BC, thus

BC = 2 × 6 = 12 m

Answer:

12

Any Twice stans btw??

The apple, weighing 150g, contains 2.0% sugar by mass. Calculating this percentage, we find out that the apple contains 3.0g of sugar.

To find out how much sugar is contained in a 150g apple, where 2.0% of its mass is sugar, we use simple percentage calculations. We know that 1% of 150g is 1.5g (150/100), so 2.0% of 150g would be 2 times 1.5g, which comes to 3.0g. Thus, the apple contains 3.0g of sugar.

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Step-by-step explanation:

Well, they don't intersect because that's how they're defined. If they were to intersect then they wouldn't be considered parallel lines.

Parallel lines never intersect because they are always equidistant from each other, meaning they maintain the same distance apart at every point along their length.

If the two original lines are parallel, then these two angles must be equal, since they are corresponding angles. However, if we extend the third line far enough, the angles will eventually add up to more than 180 degrees, which is impossible in a Euclidean plane. Therefore, the third line cannot intersect the two parallel lines, and they will never meet.

Consider two lines in a two-dimensional plane. If they are parallel, they will never cross each other no matter how far they extend. Imagine drawing a third line that intersects both of them at some point. This will create two angles where the two lines meet the third line, forming a triangle.

This property of parallel lines has many practical applications in fields such as engineering, architecture, and mathematics, where parallel lines are used to create accurate drawings and models of structures and systems.

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Answer:

Yes, because you'd be going about 83 miles per hour.

Step-by-step explanation:

500 divided by 56

= 83.333

Answer:

2 (x + 5) + 2 (3 x - 2) = 60 or answer C

Step-by-step explanation:

Option B is the correct answer, as it correctly states that the first quartile value of fish lengths at Lake Palmer is 1.25 inches longer than that of Lake Dalton.

The question provides quartile data for fish lengths caught in two different lakes and asks to generalize the findings based on the provided information. First, let's analyze the provided options:

Therefore, the correct generalization can be made from Option B. It provides accurate comparison based on the first quartile values of fish lengths in both lakes.

Answer:

x=3 y=2

Step-by-step explanation:

y=2

2x+y=8

Substitute y=2 into the second equation

2x+2=8

Subtract 2 from each side

2x+2-2=8-2

2x=6

Divide each side by 2

2x/2 =6/2

x=3

x=3 y=2

Answer:

Step-by-step explanation:

Answer:

35 m³/s

Step-by-step explanation:

70/2 = 35 m³/sec

Answer:

A. 8

Step-by-step explanation:

Answer:

First you find the slope:

(10-4)/2 = 6/2 = 3

Then you write a point-slope equation:

y-4=3x

in slope-intercept form:

y=3x+4

Answer:

The equation of the line is y = 3x + 4.

Step-by-step explanation:

First find the slope of the line:

Slope (m) = rise / run

= difference in y coordinates / difference in corresponding x coordinates

= (10-4) / (2 - 0)

= 6/2

= 3..

The line  is written as

y = m x + b

We have just found m (= 3). Now we find the value of b by substituting the point (0, 4) into this equation.

4 = 3(0) + b

b = 4.

So the required equation is y = 3x + 4.

Answer:

umm

Step-by-step explanation:

not sure but copy and paste to google

Answer:4 9 2

Step-by-step explanation:

those are the answers

Answer: a) 40 inches

b)9600 in^2

( the 2 goes on top of “in”)

Step-by-step explanation: s= 40 inches

substitute the side length into the formula for the surface area of a cube.

Answer:

Quadratic

Step-by-step explanation:

Answer:C

Step-by-step explanation:

Multiply 259 by .2 then subtract that number (51.8) from 259

Answer:

c

Step-by-step explanation:

you will divide 259.00 by 20%

To find the slope (m), use the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]        And plug in the two points

(-2, -1) = (x₁, y₁)

(4, -1) = (x₂, y₂)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-1-(-1)}{4-(-2)}[/tex]  (two negative signs cancel each other out and become positive)

[tex]m=\frac{-1+1}{4+2}[/tex]

[tex]m=\frac{0}{2}[/tex]

m = 0            

Answer:

The slope is 0.

Step-by-step explanation:

Answer:

448

Step-by-step explanation:

aₙ = a₁ + (n-1)d

a₈ = a₁ + (8-1)d = a₁ + 7d

a₁₂ = a₁ + 11d

a₈ + a₁₂ = 246 = 2a₁ + 18d            a₁ + 9d = 123

a₁₀ + a₁₄ = a₁ + 9d + a₁ + 13d = 298     a₁ + 11d = 149

2d = 26

d = 13

a₁ = 6

a₃₅ = 6 + (35-1) x 13 = 448

Answer:

153.86 square feet

Step-by-step explanation:

The formula for the area of a circle is A=πr2

area = pi x radius squared

the radius is 7 feet, square that to get 49

multiply 49 by pi to get the area: 153.86 square feet

Answer:

153,86 stóp kwadratowych

Step-by-step explanation: