Determine the y intercept

Answer:

A linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

We know that line f(x) passes through points (5, 0) and (10, 10)

Then the slope of f(x) is:

a = (10 - 0)/(10 - 5) = 10/5 = 2

then:

f(x) = 2*x + b

again, knowing that f(10) = 10   (because this line passes through point (10, 10) )

10 = 2*10 + b

10 = 20 + b

10 - 20 = b = -10

Then the equation of this line is:

f(x) = 2*x - 10

Now for g(x) we know that it passes through (-3, 0) and (2, 10)

then the slope is:

a = (10 - 0)/(2 - (-3)) = 10/5 = 2

g(x) = 2*x + b

And knowing that g(2) = 10   (because this line passes through point (2, 10) )

10 = 2*2 + b

10 = 4 + b

10 - 4 = b

6 = b

then:

g(x) = 2*x + 6

Then the equations are:

f(x) = 2*x  - 10

g(x) = 2*x + 6

A) One transformation may be a vertical translation, and the other can be a horizontal translation.

This is a vertical translation, which is defined as:

For a function f(x), a vertical translation of k units is written as:

g(x) = f(x) + k

If k is positive, the translation is upwards

if k is negative, the translation is downwards.

And an horizontal translation of k units is written as:

g(x) = f(x - k)

if k is positive, the translation is to the right

if k is negative, the translation is to the left.

B)

For the vertical translation we have:

g(x) = f(x) + k

2*x + 6 = 2*x  - 10 + k

6 = -10 + k

6 + 10 = k

16 = k

For the horizontal translation we have:

g(x) = f(x - k)

2*x + 6 = 2*(x - k) - 10

2*x + 6 = 2*x - 2*k - 10

6 = -2*k - 10

6 + 10 = -2*k

16 = -2*k

16/-2 = k

-8 = k

C)

The transformations are:

g(x) = f(x) + 16

or

g(x) = f(x - (-8))

Answer:

the second option im pretty sure

Answer:

4/48. I don't know for sure, but I think B is the correct answer

Answer:

area = 58.5 cm²

Step-by-step explanation:

area = 18 x 6.5 x 0.5 = 58.5 cm²

Answer:

60 squared cm

Step-by-step explanation:

If half of the top of the shape is 3, that means the whole top is 6.

6 x 10 = 60

Area = Length x Width

Answer:

for me the good one is black with 18 speed

Answer:

Black with 18 speeds

Step-by-step explanation:

Answer:

answer is selling price=$1411

Step-by-step explanation:

discount percentage=100%-15%=85%

Answer:

[tex] {x}^{2} + 9x + 20[/tex]

Step-by-step explanation:

1) Use FOIL method: (a + b) (c + d) = ac + ad + bc + bd.

[tex] {x}^{2} + 5x + 4x + 20[/tex]

2) Collect like terms.

[tex] {x}^{2} + (5x + 4x) + 20[/tex]

3) Simplify.

[tex] {x}^{2} + 9x + 20[/tex]

Therefor, the answer is x² + 9x + 20.

Step-by-step explanation:

4 (1 – 3x) + 4x = -100

4-12x+4x=-100

-12x+4x=-100-4

-8x=-104

x=-104/-8

x=13

Answer:

x = − 12

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

10 + 3 = 30 - 17

Answer:

57

Step-by-step explanation:

57 is 95% of 60

(See image below for more information)

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Answer:

C.

Step-by-step explanation:

there are 4 15's, which is the most thing repeated.

Answer:

i believe function !

Step-by-step explanation:

cuz im smart

Answer:

No

Step-by-step explanation:

The tables shows two inputs that are the same value which is not possible in a function

Answer:

x = 136º

Step-by-step explanation:

Answer:

x = 136º

Step-by-step explanation:

It is congruent to the angle with the measure of 136 degrees, so it will be 136.

Hope that helps!

Answer: pretty sure 25 feet

Step-by-step explanation:

[tex]\frac{5y+2}{xy^2}[/tex]+[tex]\frac{2x-4}{4xy}[/tex]=[tex]\frac{xy+8xy+4}{2xy^2}[/tex]

or just (xy+8y+4)/2xy^2 if u can't see the equation

The value of the expression using sum will be (8y + xy + 4) / (2xy²).

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]

Simplify the expression, then we have

⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]

⇒ [4(5y + 2) / (4xy²)] + [y(2x - 4) / (4xy²)]

⇒ [(20y + 8) / (4xy²)] + [(2xy - 4y) / (4xy²)]

⇒ (20y + 8 + 2xy - 4y) / (4xy²)

⇒ (16y + 2xy + 8) / (4xy²)

⇒ (8y + xy + 4) / (2xy²)

The value of the expression using sum will be (8y + xy + 4) / (2xy²).

More about the Algebra link is given below.

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Answer:

A. (0,1) and (1,2)

Step-by-step explanation:

I graphed it

Answer:

it should be a

Step-by-step explanation:

if you work for $10 an hour, and work for 2 hours, you make $20 but if you double the hours worked, so 4 hours, you make $40, which is double the hours, and double the money

Answer:

c 33ft .....

Step-by-step explanation:

c is correct

The possible height of the building is 33 ft.

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

Here, Let the height of the building be x ft

           Base = 12ft.

          Angle of Elevation = 70⁰

Now, tan α = perp. / base

         tan 70⁰ = x/12

         2.74 = x/12

          x = 12 X 2.75

          x = 33

Thus, the possible height of the building is 33 ft.

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Answer:

0.14 or 7/50

Step-by-step explanation:

Answer:

The length of the fish tank is 17 inches.

Step-by-step explanation:

The volume of a rectangular prism is length × breadth × height.

You already know the volume, breadth, and height, so you can find the length.

Length = 2244 ÷ 12 ÷ 11

            = 17 inches

The height of the tank is 17 inches.

Volume of a three dimensional shape is the space occupied by the shape.

Given that,

The shape of the fish tank is rectangular prism.

The formula to calculate the volume of the rectangular prism is,

Volume = Length × Width × height

Given,

Volume of the tank = 2,244 cubic inches

Length = 12 inches

Width = 11 inches

Let x be the height.

Substituting the given values,

2,244 = 12 × 11 × x

x = 2244 / (12 × 11)

x = 2244 / 132

x = 17 inches

Hence the height of the tank is 17 inches.

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Your question is incomplete. The complete question is given below.

Lucy bought a fish tank shaped like a rectangular prism for her new betta fish. The tank holds 2,244 cubic inches of water. It is 12 inches long and 11 inches wide. What is the height of the tank?

Answer: 15 cans of sprite

Step-by-step explanation:

5 cans of coke and 3 cans of sprite

then its

25 cans of coke and 15 cans of sprite

Step-by-step explanation:

Mean x¯¯¯ 58003

Median x˜ 58003

Mode 58003

Range 3

Minimum 58002

Maximum 58005

Count n 7

Sum 406021

Quartiles Quartiles:

Q1 --> 58002

Q2 --> 58003

Q3 --> 58003

Interquartile

Range IQR 1

Outliers 58005

copy machine goes brr

Answer:

Step-by-step explanation:

Square is x meters on each side.

Area of square = x²

Width of rectangle = x+1

Length of rectangle = x+4

Area of rectangle = (x+1)(x+4) = x²+5x+4

Combined area = 2x²+5x+4 = 33

2x²+5x-29 = 0

x = [-5+√(5²-4(2)(-29))]/[2(2)] = [-5 +√257]/4