What are the integer solutions to the inequality below?
3<3x-2<2x+4

Answer:

3/5

Step-by-step explanation:

[tex]Sin A = \frac{4}{5}=\frac{oppsite side}{hypotenuse}[/tex]

Adjacent side² = hypotenuse² - opposite side²

= 5² - 4²

= 25 - 16

= 9

Adjacent side = √9 = 3

Cos A = [tex]\frac{Adjacent side}{hypotenuse} = \frac{3}{5}[/tex]

Sin = 4/5 = Perpendicular/hypotenuse

CosA = Base/hypotenuse

Base = √hyp. ^- prep.^

Base= 3/5

Answer:

The mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.

Step-by-step explanation:

In a translation, we have that:

(x,y) -> (x+a,y+b)

In which a and b are how much the values change.

(6.-9) -> (0,1)

x subtracted by 6, y added by 10. So, the translation rule is:

(x,y) -> (x - 6, y + 10).

(-3,7) -> (-9,10)

x subtracted by 6, y added by 3. So

(x,y) -> (x - 6, y + 3).

(1, -5)-> (-5, -2)

x subtracted by 6, y added by 3. So

(x,y) -> (x - 6, y + 3)

Same rule as the above, so the mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.

(2, 4) -> (-4,1)

x subtracted by 6, y subtracted by 3. So

(x,y) -> (x - 6, y - 3)

Answer:

y = -5/6x + 6

Step-by-step explanation:

Slope intercept form is: y = mx + b

- where m is the slope

- where b is the y-intercept.

The problem already gives you the slope and y-intercept, so all you have to do is put it in for m and b respectively. Therefore, we have:

y = -5/6x + 6

Answer:

[tex]y = - \frac{5x}{6} + 6[/tex]

Step-by-step explanation:

1: Formulate equations/expressions:

[tex]based \: on \: the \: given \: conditions \: formulate[/tex]

[tex]m = - \frac{5}{6} \\ b = 6[/tex]

2: Write the equation:

[tex]write \: the \: equation \: of \: linear \: function[/tex]

[tex]y = mx + b[/tex]

3: substitute:

[tex]y = mx + b \\ m = - \frac{5}{6} \: b = 6 \\ y = - \frac{5}{6} x + 6[/tex]

4: rewrite the equation:

[tex]y = - \frac{5}{6} x + 6 \\ slope - intercept \: form \\ fin \: the \: required \: form: \\ y = - \frac{5x}{6} + 6[/tex]

Answer: B

Step-by-step explanation:

Answer:

the answers B

Step-by-step explanation:

I foreal have to wait 32 seconds just to send this 14 seconds left lol wyd 3 seconds

[tex] \cos(theta) = \frac{60}{61} [/tex]

Answer:

I think y=,48x+2 is correct

The equation y = 2x - 48 represents y, the profit earned by the hot dog stand for x hot dogs sold. Hence, 3rd option is the right choice.

Equations are relations between two equal expressions, usually used to find the values of unknown variables using the constants and the values of other variables (if any).

In the question, we are informed that the profit earned by a hot dog stand is a linear function.

We are also informed that it costs the owner $48 each morning for the day's supply and that he earns $2 profit on each hot dog he sells.

We are asked to find the equation of profit y, for the number of hot dogs sold x.

The basic cost to the owner is $48. This will be his fixed cost, irrespective of the number of hot dogs he sells.

His profit on one hot dog is $2. So, his profit on x number of hot dogs sold will be $2x.

His total profit will be equal to the profits he earned by selling x hot dogs minus the basic cost he needs to pay.

∴ Profit earned = Profit on x hot dogs - Basic cost

or, y = 2x - 48.

∴ The equation y = 2x - 48 represents y, the profit earned by the hot dog stand for x hot dogs sold. Hence, 3rd option is the right choice.

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[tex]\longrightarrow{\green{D.\:(x²+5)(x-3)}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] {x}^{3} - 3 {x}^{2} + 5x - 15[/tex]

Taking [tex]x²[/tex] as common from first two terms and 5 from last two terms, we have

[tex]➝ \: {x}^{2} \: (x - 3) + 5 \: (x - 3)[/tex]

Taking the factor [tex](x-3)[/tex] as common,

[tex]➝ \: ( {x}^{2} + 5)(x - 3)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

C.

Step-by-step explanation:

You do the opposite to the numbers when plugging them into the equation and what they equal will be the radius squared.

6 goes to -6 and -1 turns to 1.

7.4 squared= 54.76

Standard equation of the circle with center (6,-1) and radius 7.4 is [tex](x-6)^{2}+(y+1)^{2} = 54.76[/tex]

Option (C) is correct

"A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape."

"The center of a circle is the point which is equidistant from all points on the circle."

"The constant distance between the center and any point of the circle is called its radius."

We have,

Center (h, k) = (6,-1)

Radius r = 7.4

We know,

Standard equation of the circle is [tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

Substitute the values of h, k, r in standard equation of circle

[tex](x-6)^{2}+(y+1)^{2}=(7.4)^{2}[/tex]

⇒[tex](x-6)^{2}+(y+1)^{2} = 54.76[/tex]

Hence, Standard equation of the circle with center (6,-1) and radius 7.4 is [tex](x-6)^{2}+(y+1)^{2} =54.76[/tex]

∴ Option (C) is correct

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Answer:

4 days

Step-by-step explanation:

First Convert minutes to Hours

5760/60=96 Hours

Then convert hours to days

96 Hours/24 = 4 days

Answer:

y = - 3x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute (- 1, - 5) into the partial equation

- 5 = 3 + c ⇒ c = - 5 - 3 = - 8

y = - 3x - 8 ← equation of line

Answer:

y = -3x + -4

Step-by-step explanation:

y = mx + b

to find the y-intercept we need to add or subtract (in this case it's add) a number to x to get to 0.

x = -1.

to get to 0, you need to add one

do that same thing to y

[tex](-1, -5) + (1, 1) = (0, -4)[/tex] therefore the y-intercept (or b) is negative 4.

Answer:

125 people

Step-by-step explanation:

P( green) = number of green / total

                = 25/120

                 =5/24

Multiply this probability by 600

5/24 * 600 =125

Answer:

out of 120 people 25 people has chosen green

out of 1 people green will be chosen by 25/120 people

out of 600 people green colour will be chosen by( 25/120)×600 people =25×5=people

Answer:

a=3

Step-by-step explanation:

Given :

1:a :: 5: 15

To find a

a=15×1/5

a=3

Therefore, value of a =3

Answer i think it is 4

Evaluate the Function Evaluate x : − 2 x − 5 , then set it equal to 4 . = 4

Step-by-step explanation:

Answer:

x = - 9/2

Step-by-step explanation:

-2x - 5 = 4

-2x - 5 + 5 = 4 + 5        [add 5 both sides ]

- 2x = 9                        [ -5 + 5 = 0]

[tex]\frac{-2x}{-2} = \frac{9}{-2}\\\\x = \frac{9}{2}[/tex]                      [ divide both sides by - 2 ]

Answer:

x = 5/2

Step-by-step explanation:

4x-2 = 8

Add 2 to each side

4x-2+2 = 8+2

4x = 10

Divide by 4

4x/4 =10/4

x = 5/2

Answer:

x = 2.5

Step-by-step explanation:

4x - 2 = 8

4x = 8+2

4x = 10

x = 10/4

x = 2.5

Answer:

4.8 inches.

Step-by-step explanation:

By using the scale given, you can divide the actual length by the scale (48 ft/10 ft to find it in inches).

When done, it gives you 4.8 inches as the answer.

Answer:

12, It's simple, all you have to do is divide 48 by 4

easy ^-^

Answer:

Step-by-step explanation:

[tex]2x^{99}+3x^{98}+2x^{97}+3x^{96}+.......+2x+3 = [2x^{99}+2x^{97}+...2x]+[3x^{98}+3x^{96}+......3]\\\\=2x*[x^{98}+x^{96}+...+1]+3[x^{98}+x{96}+....1]\\\\= [x^{98}+x^{96}+..+x^{2}.+1](2x+3)\\\\=( [x^{98}+x^{94}+...+x^{2}]+[x^{96}+x^{92}+.......+1])*(2x+3)\\\\=(x^{2}*[x^{96}+x^{92}+.......+1]+[x^{96}+x^{92}+.......+1])*(2x+3)\\\\=[x^{96}+x^{92}+.......+1](x^{2}+1)(2x+3)[/tex]

Answer:

Step-by-step explanation:

Since the triangle is inscribed in a semicircle, then angle x is a right angle. That means that angle y is 180 - 90 - 31, which is 59.

Answer:

3

Step-by-step explanation:

x=(5x-13)

so you work that equation out

take the 5x to the side of x and equate it to what you get

x=5x-13

5x+x=13+5

6x = 18 = x=3

6 6

x=3

Answer:

Volume of the cylinder = 250π inch²

Step-by-step explanation:

Surface area of the cylinder is given by,

Surface area = 4πr²

Here, r = radius of the sphere

Since, surface area = 100π square inches

100π = 4πr²

r² = 25

r = 5

From the picture attached,

Height of the cylinder = diameter of the sphere

                                    = 2(r)

                                    = 2(5)

                                    = 10 inches

Volume of the cylinder is given by,

Volume = πr²h

Here, r = radius of the cylinder

h = height of the cylinder

Therefore, Volume of the cylinder = π(5)²(10)

                                                          = 250π square inches

Answer:

B

Step-by-step explanation:

It should be B

Answer:

-4 is the larger integer

Step-by-step explanation:

n = smaller integer

n + 2 = larger integer

4(n+2) = n-10

4n + 8 =  n - 10

3n + 8 = -10

3n = -18

n = -6

n+2 = -4

Answer:    *gives my pancakes away*   There enjoy <;3

Step-by-step explanation:

Answer:

[tex]a=250[/tex]

[tex]b=10[/tex]

Step-by-step explanation:

[tex]a=\frac{5x^2}{2}=\frac{5(10)^2}{2}=\frac{5(100)}{2}=\frac{500}{2}=250[/tex]

[tex]b=\frac{2x^2(x-5)}{10x}=\frac{2(10)^2(10-5)}{10(10)}=\frac{2(100)(5)}{100}=2(5)=10[/tex]

a = 5x²/2

a = 5(10)²/2

a = 5 × 100/2

a = 250

.

.

.

b = (2x²(x-5))/10x

b = (2(10)²(10-5))/10 × 10

b = (200(5))/100

b = 10

.

.

.

hope this helps you

keep smiling always

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Answer:

The slope is 2 and the y intercept is 6

Step-by-step explanation:

y = 2x+6

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 2 and the y intercept is 6

Answer:

2

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope and b is the y-intercept

y = 2x + 6

m = 2

Slope is 2

Answer:

x = 7

S.A.S

Step-by-step explanation:

2x + 14 = 4x

2x = 14

x = 7

Answer:

The store can sell 18 different versions of fleece jacket.

Step-by-step explanation:

The store offers 3 different styles of fleece jackets to its customers. There are 6 different colors available for each style of fleece jacket. The customers can choose from 18 versions of fleece jackets. These jackets can be purchased from the stores by the customers.

Answer:

C

Step-by-step explanation:

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