If CD represents 100%, what is the length of a line segment that is 25%? Explain.

Given:

The function is:

[tex]f(x)=-2x+1[/tex]

To find:

a. Slope and Y-intercept.

b. Is the function increasing, decreasing, or constant, justify your answer.

c. Graph the function, label x, and y-intercepts.

Solution:

a. We have,

[tex]f(x)=-2x+1[/tex]                  ...(i)

The slope intercept form of a line is:

[tex]y=mx+b[/tex]                    ...(ii)

Where, m is the slope and b is the y-intercept.

On comparing (i) and (ii), we get

[tex]m=-2,b=1[/tex]

Therefore, the slope of the line is -2 and the y-intercept is 1.

b. If the slope of a linear function is negative, then the function is decreasing.

If the slope of a linear function is positive, then the function is increasing.

If the slope of a linear function is 0, then the function is constant.

The slope of the linear function is negative.

Therefore, the function is decreasing.

c. We have,

[tex]f(x)=-2x+1[/tex]

At [tex]x=0[/tex], we get

[tex]f(0)=-2(0)+1[/tex]

[tex]f(0)=1[/tex]

So, the y-intercept is at (0,1).

At [tex]f(x)=0[/tex], we get

[tex]0=-2x+1[/tex]

[tex]2x=1[/tex]

[tex]x=\dfrac{1}{2}[/tex]

[tex]x=0.5[/tex]

So, the x-intercept is at [tex]\left(0.5,0\right)[/tex].

Plot the points [tex](0,1), \left(0.5,0\right)[/tex] and connect them by a straight line as shown below:

Answer:

[tex]volume = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times 3.14 \times {2}^{2} \times 6 \\ = 25.13 \: {m}^{3} [/tex]

Answer:

326.73cm²

Step-by-step explanation:

=

2

π

r

h

2

π

r

2

=

2

π

4

9

2

π

4

2

≈

326.72564cm²

Answer:

x = - 1, x = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given

3x² + 2x - 1 ( to find the zeros, equate to zero )

3x² + 2x - 1 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × - 1 = - 3 and sum = + 2

The factors are + 3 and - 1

Use these factors to split the x- term

3x² + 3x - x - 1 = 0 ( factor first/second and third/fourth terms )

3x(x + 1) - 1 (x + 1) = 0 ← factor out (x + 1) from each term

(x + 1)(3x - 1) = 0

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

3x - 1 = 0 ⇒ 3x = 1 ⇒ x = [tex]\frac{1}{3}[/tex]

Answer:

x= 1/3, -1

Step-by-step explanation:

So you can solve this via graphing or solving, I will show both. By solving first you factor the equation and set it equal to 0 (this is because for x intercept y=0)

0 = (3x-1) (x+1)

Use math to solve for x,

3x-1=0

3x=1

x=1/3

(not sure if your teacher wants 1/3 as decimal or fraction, if decimal then use 0.333 in place of 1/3)

x+1=0

x= -1

As far as graphing, just plug the equation in Desmos and wherever the graph cross the x axis is where y values are 0 (which are the x intercepts) and you get the same value.

Answer:

13 days

Step-by-step explanation:

1240 divided by 98 is 12.65... and you need to answer in whole days so its 13

Answer:

I would assume it to be the second option, or B.

'The bogs the moose lived in became so soggy that only moose with the largest feet could successfully walk on the bog'

Step-by-step explanation:

Answer:

Second one

Step-by-step explanation:

It best explains why moose developed larger feet.

Answer:

y= 35⁰

x = 55⁰

Step-by-step explanation:

total angle of triangle is 180⁰

therefore we can equate:

x + (x-20) + 90 = 180

2x + 70 = 180

x = 55⁰

total of x and y is equal to 90⁰ since it is a right angle;

x + y = 90

x = 55⁰

55⁰ + y = 90

y = 35⁰

Answer:

11 - 6√3

Step-by-step explanation:

Given the expression;

5+2√3/7+4√3

Rationalize

5+2√3/7+4√3 * 7-4√3/7-4√3

= 35 - 20√3+14√3 - 24/49 - 16(3)

= 35 - 20√3+14√3 - 24/49 - 48

= 35 - 20√3+14√3 - 24

= 35 - 6√3- 24

= 35 - 24 -  6√3

= 11 - 6√3

This gives the required solution

Step-by-step explanation:

[tex] \frac{1}{2} (10)(12) \\ \frac{1}{2} (120) \\ 60 {cm}^{2} [/tex]

Answer:

3/16 or in decimal 0.1875

Step-by-step explanation:

Answer:

2/z

Step-by-step explanation:

Add 5 and 7

The answer will be 12

12/6z

Since both the numerator and denominator is divisible by 6 divide 6 on both the numerator and denominator

2/z

The answer is 2/z

Hope this helps!

Answer: 64

Step-by-step explanation: 4x4x4=64

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{4}^3[/tex]

[tex]\large\text{= 4}\times\text{4}\times\text{4}[/tex]

[tex]\large\text{= 16}\times\large\text{4}[/tex]

[tex]\boxed{\large\text{= \bf 64}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 64}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

your question is that true

Step-by-step explanation:

my answer is false

Answer:

If the perimeter of a square is 28 inches and the area of the square is (x2 + 4x + 4) square inches, and x is a both a real and a positive number, then the value of x must be 5.

Step-by-step explanation:

All sides of a square are equal length.

The area of a square is the side length squared.

perimeter p, side length s, area a, and variable x.

p = 28.   s = ?   a = x^2 + 4x + 4.   x = ?

p = 28

p = 4s.

28 = 4s.

7 = s.

a = s^2.

s = 7.

a = 7^2.

a = 49.

a = x^2 + 4x + 4.

a = 49.

x^2 + 4x + 4 = 49.

factor x^2 + 4x + 4.

(x+2)(x+2) = 49.

(x+2)^2 = 49.

√ ((x+2)^2) = √49.

take positive answer.

x+2 = 7

x = 5.

Answer:

Net cash provided by operating activities = $135,800

Step-by-step explanation:

Given:

Net income = 89400

Accounts receivable decreased = 24000

Inventory increased = 14400

Issuance of long-term debt = 30000

Missing data;

Accounts payable decreased = $8,200

Equipment purchases = 100,000

Depreciation and amortization expense = $45,000

Find:

Net cash provided by operating activities

Computation:

Particular                                                        Amount

Net Income                                                 89400

Add Amortization                                        45000

Net income before non cash expenses 134400

Add Decrease in AR                                 24000

Less Increase in inventory                     14400

Less Decrease in AP                                  8200

Net cash provided by operating activities $135,800

Answer:

[tex]\triangle {UVW} \sim \triangle {UVA} \sim \triangle {UAW}[/tex]

Step-by-step explanation:

The triangles UVW, UVA and UAW, since all three are right angles and have the same combination of angles, meaning the existence of proportionality between corresponding lengths. That is:

[tex]UA \propto AV \propto UV[/tex], [tex]AW \propto UA \propto UW[/tex], [tex]UW \propto UV \propto WV[/tex]

Hence, the complete similarity statement is:

[tex]\triangle {UVW} \sim \triangle {UVA} \sim \triangle {UAW}[/tex]

Answer: the answer is either e or d but I guessed d

Step-by-step explanation:

The equivalent set to set S will be {12, 16, 20, ..., 36} thus, option (E) is correct.

A set is a collection of distinct values where each variable's meaning must be the same.

For instance, the set of natural numbers 1, 2, 3, 4, 5, and 6 is made up of variables that each represent a different natural number.

As per the given,

x is the multiple of 4,

4,8,12..

But is it restricted in the domain as, 9 ≤ x < 37

Thus, {12, 16, 20, ..., 36} will be correct.

Hence "The equivalent set to set S will be {12, 16, 20, ..., 36}".

To learn more about the sets,

brainly.com/question/8053622

#SPJ2

Answer:

The expression is 2 y - 1 2

Step-by-step explanation:

two times the quantity of a number minus 12

Let the number of y.

Two times a number is  2 y

Now minus 12

So, the expression is

2 y - 12

Step-by-step explanation:

The answer is a - (-b) = (-b) - a

for example if we take;

a = 4

b = 2

c = 2

and we replace;

4 - ( -2) = (-2) - 4

6 = -6

which is not true....

All the remaining are true....

even u can just use the values of abc and check if its true....

Answer:

3,4,5

Step-by-step explanation:

Answer:

Volume = 434.89

Step-by-step explanation:

Answer.

Answer:

Half of 9.4 is 4.7

4.7^3(radius cubed) = 103.823

103.823 x 3.14(pi) = 326.00422

326.00422 x 4/3 = 434.672293333 rounded = 434.67

Step-by-step explanation:

Volume Of Sphere Formula:

4/3 x pi(3.14 or 22/7 OR ANY NUMBER depending on what they tell you to use for pi) x radius(half of your diameter or given radius)^3(cubed, to the power of 3)

4/3 x pi x radius cubed

Answer:

Step-by-step explanation:

y = 3x+4

Let x = 0 to find the y intercept

y = 3*0+4

y =4

The y intercept is 4

Answer:

4

Step-by-step explanation:

Slope equation: y=mx+b

m=slope

x=rate of change

b=y-intercept

If this helps please mark as brainliest

The two diagonal lines cross at the center point so each section of the lines are identical:

3x + 3 = 4x -4

Add 4 to both sides:

3x + 7 = 4x

Subtract 3x from both sides:

X = 7

The answer is x = 7

Answer:

x = 7

Step-by-step explanation:

KU = UM

as the center of a rectangle bisects the diagonal

3x + 3 = 4x - 4

7 = x

x = 7

Answer:

n=8

Step-by-step explanation:

1/2 (n + 4) = 6

n+4=12

n=8

Answer:

The formula of a surface area of a cone:

SA=pi rl+\pi r^2SA=pirl+πr

2

r - radius

l - slant height

We have the diameter d = 6 in and a slant height l = 8 in.

d=2r\to r=6in:2=3ind=2r→r=6in:2=3in

Substitute:

SA=\pi(3)(8)+\pi(3^2)=24\pi+9\pi=\boxed{33\pi\ in^2}SA=π(3)(8)+π(3

2

)=24π+9π=

33π in

2

Answer:

Hello there,

So the answer is C,

The real result is approximately 103,53 and by rounding up the result to the nearest inch, we find C!

PLEASE MAKE SURE TO GIVE ME BRAINLIEST THX <3

Answer:

arcm<RP = 136degrees

Step-by-step explanation:

From the given circle;

<Q = 1/2arc mRP

Given

<Q = 68degrees

68 = 1/2 arcM<RP

2 * 68 = arcm<RP

136 =arcm<RP

arcm<RP = 136degrees

Answer:

- f(x)=0.50(x-1)+0.21

Answer:

36 & 54

Step-by-step explanation:

By Question :-

Let :-

According to 1st condition :-

[tex]: \implies[/tex] x + y = 90

According to 2nd condition :-

[tex]: \implies[/tex] x - y = 18

Adding the equations :-

[tex]: \implies[/tex] 2x = 18 + 90

[tex]: \implies[/tex] 2x = 108

[tex]: \implies[/tex] x = 54

Therefore :-

[tex]: \implies[/tex] First number = 54

[tex]: \implies[/tex] Second number = 36

Answer:

6 x 15

Step-by-step explanation:

brainliest

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