Take 2y 2 - 3y - 5 from y 3 - 6y 2 + 5y. Select the correct answer. y3 - 2y2 + 3y + 5, y3 - 4y2 + 2y - 5, y3 - 4y2 + 2y + 5, y3 - 8y2 + 8y + 5.

The measure of angle C in triangle ABC is 66 degrees, calculated by subtracting the sum of angles A and B from 180 degrees.

The measure of angle C can be determined by using the fact that the sum of angles in any triangle is always 180 degrees. Given that the measure of angle A is 68° and the measure of angle B is 46°, we can calculate the measure of angle C as follows:

C = 180° - A - B

C = 180° - 68° - 46°

C = 180° - 114°

C = 66°

Thus, the measure of angle C in ΔABC is 66 degrees.

To find each interior angle of a decagon given as expressions with x, we sum the expressions and set equal to 1440 degrees, the total sum of interior angles. Solving for x, we find x=100 and then substitute to find each angle.

To find the measure of each interior angle of a decagon where the angles are given as expressions involving x, we must use the fact that the sum of interior angles in a polygon is (n-2)180 degrees, where n is the number of sides in the polygon. For a decagon, which has 10 sides, the sum would be (10-2)180 = 1440 degrees.

x + 5 + x + 10 + x + 20 + x + 30 + x + 35 + x + 40 + x + 60 + x + 70 + x + 80 + x + 90 = 1440

Combining like terms, we find that:

10x + 5 + 10 + 20 + 30 + 35 + 40 + 60 + 70 + 80 + 90 = 1440

10x + 440 = 1440

10x = 1440 - 440

10x = 1000

x = 100

Once x is found, we substitute back into each angle expression to find the measure of each interior angle:

x + 5 = 105 degrees

x + 10 = 110 degrees

x + 20 = 120 degrees

x + 30 = 130 degrees

x + 35 = 135 degrees

x + 40 = 140 degrees

x + 60 = 160 degrees

x + 70 = 170 degrees

x + 80 = 180 degrees

x + 90 = 190 degrees

12 feet long

 1st piece = x

2nd piece = 2x-3

3x-3 =12

3x=15

x = 5

 1st piece = 5 feet

 2nd piece = 2*5=10-3=7 feet

Final answer:

The measure of angle 1 can be found by using the fact that angle 1 and angle 2 form a linear pair. By setting up an equation and solving, we find that angle 1 measures 113 degrees.

Explanation:

To find the measure of angle 1, we need to understand that angle 1 and angle 2 form a linear pair. A linear pair of angles is formed when two adjacent angles are supplementary, meaning they add up to 180 degrees. So, angle 1 + angle 2 = 180 degrees. Given that angle 2 measures 67 degrees, we can substitute this value into the equation to find angle 1: angle 1 + 67 degrees = 180 degrees. Solving for angle 1, we get angle 1 = 180 degrees - 67 degrees = 113 degrees.

Answer:

Option B - 24

Step-by-step explanation:

Given : Scores: 81, 79, 80, 88, 72, 96, 86, 73, 79, 88

To find : The range of the data?

Solution :

Range is defined as the difference between the smallest and the largest element of the data.

First we arrange the data into ascending order:

72,73,79,79,80,81,86,88,88,96

The smallest number is 72

The largest number is 96

The range of the data =  largest number - smallest number

The range of the data =  96 - 72

The range of the data = 24

Therefore, Option B is correct.

Answers:

1.5, -1.5, 12.5, 4pi/25, 4, D

Step-by-step explanation:

Answer:

1.5 meters

a = -1.5

12.5 hours

b = 4 pi/25

k = 4 meters

last option is D

Step-by-step explanation:

edg 23'

The slope of the line that contains the given point is the rise/run, which is: 1/8.

The slope of a line = rise / run = change in y / change in x.

Given the points on a line as (9, –4) and (1, –5):

Change in y = (-4 -(-5) = 1

Change in x = (9 - 1) = 8

Slope of the line = change in y/change in x = 1/8.

Learn more about the slope of a line on:

https://brainly.com/question/3493733

#SPJ2

9-5 =4

-4 +7=3

-1-6 =-7

so 4x^3+3x^2-7

 A is the correct answer

Answer:

Any set of numbers that fit in Pythagoras theorem will represent that set.

Step-by-step explanation:

Though options are not given, but there is a standard way to get such combinations of number.

As it is a right triangle, we have to work on Pythagoras theorem.

The sum of squares of two other sides is equal to square of the hypotenuse.

Like : [tex]3^{2} +4^{2} =5^{2}[/tex]

Answer:

It would cost $9800 to remodel the room.

Step-by-step explanation:

The Adams family is remodeling their family room.

Length of the room =  20 feet

Width of the room  = 14 feet

To get area of the room we use the formula

Area = Length × Width

A = 20 × 14 = 280 feet²

The contractor wants $35 per square foot to remodel it.

So it would cost =  280 × 35 = $9800

It would cost $9800 to remodel the room.

Answer:

[tex]\text{Area of regular pentagon is }700 inches^2[/tex]

Step-by-step explanation:

Given that a regular pentagon with an apothem of 14 inches and a side of 20 inches.

we have to find the area of pentagon.

Apothem=a=14 inches

Side of pentagon= 20 inches

[tex]Perimeter=s=20\times 5=100 inches[/tex]

[tex]\text{Area of regular pentagon=}\frac{1}[2}\times perimeter \times apothem[/tex]

[tex]=\frac{1}{2}\times 100\times 14=700inches^2[/tex]

[tex]\text{Area of regular pentagon is }700 inches^2[/tex]

Answer:700in

Step-by-step explanation:

Answer:

D) $10,000.

Step-by-step explanation:

We have been given a function [tex]c(x)=3x^2-2x+10[/tex], which represents Juan’s investment account in thousands of dollars. We are asked to find Juan's initial investment.

To find Juan's initial investment, we will substitute [tex]x=0[/tex] in our given function.

[tex]c(0)=3(0)^2-2(0)+10[/tex]

[tex]c(0)=3*0-0+10[/tex]

[tex]c(0)=10[/tex]

Since the function gives Juan's investment in thousands of dollars, so Juan's initial investment would be [tex]10\times \$1,000=\$10,000[/tex], therefore, option D is the correct choice.

The end behavior of f(x) has the same end behavior of [tex]x^3[/tex] and all the zeroes of f(x) wiil be: -3 with multiplicity 1, 3 with multiplicity 1, 0 with multiplicity 3.

Given :

[tex]f(x) = x^5-9x^3[/tex]   --- (1)

The value of x at which f(x) becomes zero can be determine by eqaution the equation (1) to zero.

[tex]x^5-9x^3=0[/tex]

[tex]x^3(x^2-9)=0[/tex]

[tex]x^3(x-3)(x+3)=0[/tex]

Therefore, all the zeroes of f(x) will be:

-3 with multiplicity 1,

3 with multiplicity 1,

0 with multiplicity 3.

The end behavior of f(x) has the same end behavior of [tex]x^3[/tex]. As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity.The graph of f(x) is attached below.

For more information, refer the link given below:

https://brainly.com/question/24153248

The values of the function f(x) for the given graph are approximately -7, -18, and -29.

The values of the function f(x) for the given graph can be found by looking at the corresponding points on the graph.

For f(-2), we look at the point on the graph where x = -2. From the graph, we can see that f(-2) is approximately -7.

Similarly, for f(0), we look at the point on the graph where x = 0. From the graph, we can see that f(0) is approximately -18.

For f(4), we look at the point on the graph where x = 4. From the graph, we can see that f(4) is approximately -29.

f(-2) = -1
- f(0) = 3
- f(4) = 0

The values of the function at different points on the graph can be found by looking at the corresponding coordinates on the graph.

To find f(-2), we look for the point on the graph where x = -2. From the graph, it appears that the y-coordinate of this point is -1. Therefore, f(-2) = -1.

To find f(0), we look for the point on the graph where x = 0. From the graph, it appears that the y-coordinate of this point is 3. Therefore, f(0) = 3.

To find f(4), we look for the point on the graph where x = 4. From the graph, it appears that the y-coordinate of this point is 0. Therefore, f(4) = 0.

It is important to note that the given information about the arrows and points (0,3) to (-6,0) and (0,1) to (6,-2) is unrelated to finding the values of the function at the given points. These arrows and points might represent something else in the context of the graph, but they do not affect the calculations of f(-2), f(0), and f(4).