What do I put In the empty boxes .

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:

3/16 or in decimal 0.1875

Step-by-step explanation:

Answer:

0.1

Step-by-step explanation:

According to my calculator lol

Answer:

1/10

Step-by-step explanation:

1/5 / 2/1

1*1/5*2

=1/10

Answer:

I dont know

Step-by-step explanation:

oop

Answer:

I think it would not be fill since i think that would be referring to volume so it would most likley be B.cover

Answer- Cover

Step-by-step explanation:

none really

Answer:

$420

Step-by-step explanation:

Divide to isolate the cost

240 / 4 = 60 - amount per person (for 4 people)

60 / 5 = 12 - amount per person per day (5 days)

Multiply using that cost and new values.

12 x 5 = 60

60 x 7 = 420

Answer:

21

Step-by-step explanation:

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:

[tex]y=-\frac{5}{3}x-\frac{16}{3}[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]y=\frac{3}{5} x +2[/tex]

From the given equation, we can see that [tex]\frac{3}{5}[/tex] is the slope of the line since it's in the place of m. Because perpendicular lines always have slopes that are negative reciprocals, the line we're currently solving for would have a slope of [tex]-\frac{5}{3}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-\frac{5}{3}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-\frac{5}{3}x+b[/tex]

Plug in the given point (-5,3)

[tex]3=-\frac{5}{3}(-5)+b\\3=\frac{25}{3}+b[/tex]

Subtract [tex]\frac{25}{3}[/tex] from both sides to isolate b

[tex]3-\frac{25}{3}=\frac{25}{3}+b-\frac{25}{3}\\-\frac{16}{3} = b[/tex]

Therefore, the y-intercept is [tex]-\frac{16}{3}[/tex]. Plug this back into [tex]y=-\frac{5}{3}x+b[/tex]

[tex]y=-\frac{5}{3}x+(-\frac{16}{3})\\y=-\frac{5}{3}x-\frac{16}{3}[/tex]

I hope this helps!

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:

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:

9%

Step-by-step explanation:

If you get 12 for 4 months, then you get 36 for the year/12 months

Annual interest is $12 x 3 Months =36

36/400=9%.

Answer:

[tex](a-b)^3 = a^3 - b^3 - 3a^2b + 3ab^2\\\\a = 3x, \ b = 1\\\\(3x-1)^3 = (3x)^3 - (1)^3 - 3(3x)^2(1) + 3(3x)(1)^2\\\\[/tex]

             [tex]= 27x^3 - 1-3(9x^2)+ 9x\\\\=27x^3 -27x^2 +9x -1[/tex]

The expanded form of the function f(x) = (3x - 1)³ is 27x³ - 9x² + 9x - 1.

We have,

To expand the function f(x) = (3x - 1)³, we can use the binomial expansion formula, which states:

(a + b)³ = a³ + 3a²b + 3ab² + b³

In this case,

a = 3x and b = -1.

Substituting these values into the formula, we get:

[tex](3x - 1)^3 = (3x)^3 + 3(3x)^2(-1) + 3(3x)(-1)^2 + (-1)^3[/tex]

Simplifying further:

(3x - 1)³ = 27x³ - 9x³ + 9x - 1

Therefore,

The expanded form of the function f(x) = (3x - 1)³ is 27x³ - 9x² + 9x - 1.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ6

If two angles are supplementary, then they add up to 180.

Angle 1 = twenty less than four times the other angle

Angle 2 = the other angle

Angle 2 = 1x

Angle 1 = 4x - 20

Next, we can add up angles 1 and 2 and set the sum equal to 180.

x + 4x - 20 = 180

5x - 20 = 180

5x = 200

x = 40

Now that we know x, we can find the values of our angles.

Angle 1 = 4(40) - 20 = 160 - 20 = 140 degrees

Angle 2 = 40 degrees

Hope this helps!! :)

Answer:

Hello! answer: 84 sq mm

Step-by-step explanation:

To find triangle area we would do

base × height × 1/2 or

base × height ÷ 2 So...

14 × 12 = 168 168 ÷ 2 = 84 therefore the area is 84 sq mm HOPE THAT HELPS!

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:

[tex]m\text{ arc BC} =32\\m\angle 2=16\\m\angle3=74\\m\angle4=74\\m\angle5=16[/tex]

Step-by-step explanation:

Arc BC is the intercepted arc for the central angle COB, so its measure is the same as the central angle.

Angle 2 is an inscribed angle, so its measure is half the measure of the intercepted arc BC.

Angles 3 and 4 are congruent inside an isosceles triangle (OB = OC, both radii), and the sum of all angles in triangle COB is 180 degrees, so

180 - 32 = 148 (sum of angles 3 and 4)

Each of angles 3 and 4 measure half that remaining 148 degrees.

Angle 5 is one of two congruent angles in an isosceles triangle AOC (OA = OC) so its measure is that of angle 2.

Answer:

C.

explanation:

I just know.

Answer:

c

Step-by-step explanation:

y=-8x

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:

g(x) shifted vertically by 2, no horizontal shift

Step-by-step explanation:

Any addition outside the function creates a vertical shift of the same value. Addition within the function moves the graph in the horizontal direction but opposite.

Answer: 200

Step-by-step explanation:

first, you set up your proportion. (23% at the top right, 100 at the bottom right, 46 at the top left, and x and the bottom left.) next, you multiply x * 23% = 23x then 46*100 = 4600. 4600 divided by 23 = 200. therefore, x = 200. please let me know if you have further questions!

Good luck !

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:

circumference=13π cm (see below if you need π approximated)

Step-by-step explanation:

Hi there!

The formula for the circumference of a circle is given as 2πr, where r is the radius and π is pi

we are given that the radius of the circle is 6.5 cm

substitute what we know into the equation:

circumference=2πr

circumference=2π*6.5

circumference=13π cm

some places will accept the answer as 13π, but others ask to have π substituted, usually as 3.14 or 22/7

if you need π substituted as 3.14, the answer will be 40.82 cm

if you need π substituted as 22/7, the answer will be about 40.86 cm

Hope this helps! :)

Answer:

your question is that true

Step-by-step explanation:

my answer is false

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:

Step-by-step explanation:

a. Find the unit rate, or how many miles they traveled in one hour, by dividing:

[tex]\frac{392}{7}=56 mph[/tex]

b. Now that we know how fast they were going, we can use it in either a proportion or in the d = rt equation. For the proportion set up, put miles on the top and hours on the bottom and solve for the unknown:

[tex]\frac{mi.}{hr}:\frac{56}{1}=\frac{728}{x}[/tex] and cross multiply to solve for x:

56x = 728 so

13 hours.

Now use the d = rt equation:

728 = 56t so

t = 13 hours

Answer:

-8+4=-4

sign of bigger number, and -×+=-