Find the domain, range, y intercept(s), intervals where the graph is positive, interval(s) where the graph is decreasing, and interval(s) where the graph is increasing

Answer:

17.5 in

Step-by-step explanation:

Step one:

given

The perimeter of a rectangle is 53 inches

let the two shorter sides be the width w

so w+w= 18in

the two longer sides is L

L+L=2l

Step two:

but the expression for the perimeter of a rectangle is

P=2W+2L

53= 18+2L

53-18=2L

35=2L

divide both sides by 1

L=35/2

L=17.5

Answer:

USE AIR MATH!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

80.25

Step-by-step explanation:

Answer:

$1.75 per pound of apples, 10 apples can be purchased for $17.50 because you divide 17.50 by 1.75 since that is your unit rate per pound.

Step-by-step explanation:

Answer:

the answer is 17.50

Step-by-step explanation:

one pound is 1.75 so you multiply that by 10 and you get 17.50

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12 roses costs $45.60, so in order to find the cost of one rose you have to divide the cost of 12 roses by 12, which gives $3.80.

Now that you know the cost of one rose, you can write an equation that gives you the cost in terms of the total number of roses by multiplying the cost of one rose by the total number of roses (x). This equation should be C = 3.8x

To find how much 18 roses would cost, you plug 18 into the previous equation for x, which gives you $68.40

Answer/Step-by-step explanation:

1. Well, we know that a dozen roses costs $45.60. We also know that a dozen is the same as 12. To know how much 1 rose costs, we need to divide $45.60 by 12.

45.60 ÷ 12 = $3.80. Therefore 1 rose costs $3.80.

2. y = yx

This is because the total amount of roses equal the cost of each rose multiplied by the amount of roses.

3. To find out how much 18 roses costs, we need to multiply the amount of one rose by 18. So, 3.80 x 18 = $68.4

Hope the helps! :D

Answer:

Step-by-step explanation:

-|-16|-(-16)=0

1. -|-16|=-16

2. -16-(-16)= -16+16

3. -16.16=0

Answer: 90

Step-by-step explanation:

90 degrees. x=90-47=43 degrees.

Step-by-step explanation: We can find the measure of its complement

by taking 90 minus the measure of the original angle.

So we have 90 - 47 which is 43.

So the measure of its complement is 43°.

9514 1404 393

Answer:

Step-by-step explanation:

Since EH is the perpendicular bisector of DF, ∆DEF is isosceles and sides DE and EF have the same length.

  DE = EF

  (9x -1) = (7x +9)

  2x = 10 . . . . . . . add 1-7x

  x = 5 . . . . . . . . . divide by 2

__

Similarly, marked sides GD and GF are the same length, so ...

  GD = GF

  (10y -4) = (7y +8)

  3y = 12 . . . . . . . . . . add 4-7y

  y = 4 . . . . . . . . . divide by 3

__

Now, we have what we need to calculate the side lengths.

  EF = 7x+9 = 7·5 +9 = 44

  DE = 9x-1 = 9·4 -1 = 44

  FG = 7y+8 = 7·4 +8 = 36

  DG = 10y-4 = 10·4 -4 = 36

  FH = 3x+4y = 3·5 +4·4 = 31

  DF = FH = 31

Answer:

x=2

Step-by-step explanation:

8^1/6 x 2^x = 32^1/2

Divide by 8^1/6

2^x= 32^42/8^y6

2^x=4

but 4= 2^2

2^x= 2^2

x=2

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Answer:

[tex]\huge\boxed{x=2}}[/tex]

Step-by-step explanation:

[tex]8^\frac{1}{6}\cdot2^x=32^\frac{1}{2}\\\\(2^3)^\frac{1}{6}\cdot2^x=(2^5)^\frac{1}{2}\qquad|\text{use}\ (a^n)^m=a^{nm}\\\\2^{3\cdot\frac{1}{6}}\cdot2^x=2^{5\cdot\frac{1}{2}}\\\\2^{\frac{1}{2}}\cdot2^x=2^\frac{5}{2}\qquad|\text{use}\ a^n\cdot a^m=a^{n+m}\\\\2^{\frac{1}{2}+x}=2^\frac{5}{2}\iff\dfrac{1}{2}+x=\dfrac{5}{2}\qquad|\text{subtract}\ \dfrac{1}{2}\ \text{from both sides}\\\\x=\dfrac{4}{2}\\\\x=2[/tex]

Answer:

The fraction of white marbles is 4/9

Step-by-step explanation:

The fraction of white marbles is 4/9. This is because the ratio provided states that for every 5 red marbles in the bag there are 4 white marbles. Therefore, in a set of 9 total marbles (5+4) we can assume that exactly 4 of those marbles will be white since that is the ratio that has been provided. If there are a total of 18 marbles we can assume that exactly 8 will be white marbles, and so on. Each of which represent the fraction of white marbles in the bag as 4/9

Answer:

7 and 8

Step-by-step explanation:

Answer:

2: it describes the distance between 6 and -6 on the number line.

Given:

Quadrilateral ABCD has vertices A(–1, –2), B(–1, 3), C(4, 3) and D(4, –2).

It's dilated by a factor of 2 with the center of dilation at the origin.

To find:

The coordinates of the resulting quadrilateral A'B'C'D'.

Solution:

The figure dilated by a factor of 2 with the center of dilation at the origin. So, the rule of dilation is

[tex](x,y)\to (2x,2y)[/tex]

Using the above rule, we get

[tex]A(-1,-2)\to A'(2(-1),2(-2))=A'(-2,-4)[/tex]

[tex]B(-1,3)\to B'(2(-1),2(3))=B'(-2,6)[/tex]

[tex]C(4,3)\to C'(2(4),2(3))=C'(8,6)[/tex]

[tex]D(4,-2)\to D'(2(4),2(-2))=D'(8,-4)[/tex]

Therefore, the coordinates of the resulting quadrilateral A'B'C'D' are A'(-2,-4), B'(-2,6), C'(8,6) and D'(8,-4).

Answer:

first line: count

second line: negative

third line: positive

Step-by-step explanation:

p(x) = x³ - x² + x + 1

i ) p(-1) = (-1)³ - ( -1 )² + ( -1 ) + 1

= -1 - 1 - 1 + 1

= -2

ii ) p( 1 ) = 1³ - 1² + 1 + 1

= 1 - 1 + 1 + 1

= 2

Now ,

[ p(-1) + p(1) ]/2

= [ -2 + 2 ]/2

= 0

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Answer:

i think  {x,y} = {-5,-2}  

Step-by-step explanation:

Answer:

All 4 are solutions to the inequality.

Step-by-step explanation:

What we know:

The inequality requires that 48/f is less than or equal to 46.

Plug in each of the choices to see if that will work

48/12 ≤ 46

4 ≤ 46, so f = 12 will work.

48/-12 ≤ 46

-4 ≤ 46, so f = -12 will also work.

48/-3 ≤ 46

-16 ≤ 46, so f = -3 will work as well.

48/8 ≤ 46

6 ≤ 46, so f = 8 will work as well.

Since all 4 work, that means you should check all 4 choices on the question.

Answer:

-213

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

3|x + y|² - (xy)²

x = 3

y = -5

Step 2: Evaluate

Answer:

y>4

Step-by-step explanation:

8y+9>41

subtract 9

8y>32

divide by 8

y>4

Answer:

y>4

Step-by-step explanation:

8y+9>41

subtract 9 from both sides

8y>32

divide 8 on both sides

y>4

Answer:

Equaiangular

Step-by-step explanation:

think equal

Answer:

901$

Step-by-step explanation:

Answer:

If 32 students are enrolled in the course, there would be 24 girls.

Step-by-step explanation:

Given that For every boy in an advanced math course there are 3 girls who are taking the course.

It means if there are four students in the class. There would be 3 girls and 1 boy. Thus, 75% of the students are girls.

Given that there are 32 students enrolled in the course.

so

75% of 32 = 75/100 × 32

                 = 24

Thus, if 32 students are enrolled in the course, there would be 24 girls.

The value of the trigonometry are sin(Π-Ɵ) = 0.84 and sin(Π + Ɵ) = -0.84

According to the question, there is a circle whose radius is 1 and the ray intersects the circle at point (0.54, 0.84).

We need to find the trigonometric values, that is

 sin(Π-Ɵ) = sin(Ɵ) as we know that when the angle is in third quadrant sin is positive.

 sin(Π+Ɵ) = -sin(Ɵ) as we know that when the angle is in fourth quadrant sin is negative.

Also note that,  sinƟ = perpendicular/hypotenuse

Perpendicular = 0.84 as the perpendicular length will be equal to the length of the y-axis

Hypotenuse = 1 as the hypotenuse will be the radius of the circle which is formed by the ray.

Thus, sinƟ = 0.84/1 = 0.84

Hence, sin(Π-Ɵ) = 0.84

  And sin(Π+Ɵ) = -0.84

Learn more about trigonometry here : https://brainly.com/question/13729598

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Answer:

1 inch of drawing = 45 feet

Step-by-step explanation:

Given that:

Length between the bases on a baseball field = 90 feet

As per the scale drawing, the distance between the bases is equal to 2 inches.

To find:

Length of one inch on the drawing is equal to actual length of how many feet?

Solution:

First of all, let us learn about the scale drawings.

Scale drawings are a way to represent the big real world measurements on a paper.

Therefore, small measurements are used to represent the bigger real world measurements.

Here, it is given that:

2 inches on scale is equal to 90 feet of actual length.

Therefore,

1 inch on scale is equal to [tex]\frac{90}{2}[/tex] = 45 feet of actual length.

Therefore, 1 inch of drawing = 45 feet

Answer:

There were 204 ladies and 136 gentlemen in the conference

Step-by-step explanation:

Let's set the variables:

L = number of ladies in the conference

G = number of gentlemen in the conference

We know 340 people participated in the conference, thus:

L + G = 340         [1]

We are also given the ratio of ladies and gentleman as 3:2, thus:

L/G = 3/2

Cross-multiplying:

2L = 3G        [2]

From [1]:

L = 340 - G

Substituting in [2]:

2(340 - G) = 3G

Operating:

680 - 2G = 3G

5G = 680

G = 680/5 = 136

G = 136

L = 340 - 136 = 204

L = 204

There were 204 ladies and 136 gentlemen in the conference

Answer:

The total area is 29 cm2

Step-by-step explanation:

The area of the first rectangle (left side) is 4 * 2 = 8

Second rectangle ( right side ) 4 * 3 = 12

The triangle is 3 * (4 + 2) * 1/ 2 = 9

Total area is 29 cm2

Answer:

the vaulue is denominator

Step-by-step explanation:

it's it's the denominator

Answer:

The denominator

Step-by-step explanation:

Answer:

2.25 inches

Step-by-step explanation:

Number of books: 12

Height of stack: 27 inches

27 divided by 12 = 2.25 inches

Answer:

9/4

Step-by-step explanation:

27/12 = 9/4 inch

= 2,25 inch