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Mazyrski [523]
4 years ago
5

Complete the equation for the linear function whose graph contains the point (-1,2) and has a slope of 0.9.

Mathematics
1 answer:
Mnenie [13.5K]4 years ago
4 0
Plug it into point-slope form.

y - y1 = m(x - x1)

Where y1 is the y-value of the point, x1 is the x-value, and 'm' is the slope.

So plug in -1 for x1, 2 for y1, and 0.9 for 'm':

y - 2 = 0.9(x + 1)

Simplify to get in slope-intercept form:

Distribute 0.9 into the parenthesis:

y - 2 = 0.9x + 0.9

Add 2 to both sides:

y = 0.9x + 2.9
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A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104
mina [271]
1. Regroup terms
x(x+5)=104

2. Expand
x^2+5x=104

3. Move all terms to one side
x^2+5x-104=0

4. Factor x^2+5x-104
(x-8)(x+13)=0

5. Solve for x
x=8 or x=-13
Since x<0 is not possible in this case, x=8

6. Finding the dimensions
We know that one side has to be x+5, and now that we know x:
8+5=13
13*8=104

The dimensions are 13 and 8, have a nice day :D
8 0
4 years ago
Read 2 more answers
Find the inverse of h(x)=(2x-4)/3
Agata [3.3K]

Answer:

The inverse of the h(x) is h^{-1}(x)=\frac{3x}{2}+2           Step-by-step explanation:

Given : Expression h(x)=\frac{2x-4}{3}

To find : The inverse of the expression ?

Solution :

Expression h(x)=\frac{2x-4}{3}

Let, h(x)=y then  y=\frac{2x-4}{3}

For inverse we replace the value of x and y and find the value of y in terms of x.

Replace the value of x and y,

x=\frac{2y-4}{3}

Solve for y by cross multiply,

3x=2y-4

Adding 4 both side,

3x+4=2y

Dividing by 2 both side,

\frac{3x+4}{2}=y

Therefore, The inverse of the h(x) is h^{-1}(x)=\frac{3x}{2}+2

5 0
3 years ago
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Stir-fry is tony's favorite food to cook, but it always makes a lot of smoke! Tony needs to know the volume of his kitchen so he
konstantin123 [22]

Answer:

Volume = 680 ft³

Step-by-step explanation:

Given

Floor Area = 85 ft²

Height = 8 ft

Required

Volume of the Kitchen

To solve this, it'll be assumed that Tony's kitchen has a regular shape.

Having said that, the volume of Tony's kitchen is calculated as thus.

Volume = Floor Area * Height.

Substitute the values of floor area and height

Volume = 85ft² * 8ft

Volume = 680 ft³

Hence, the volume of Tony's kitchen is 680ft³

4 0
3 years ago
If x=9 and y=−3, evaluate the following expression:10−4xy​
ValentinkaMS [17]

Answer:

118

Step-by-step explanation:

10-4xy

10-4(9)(-3)

10-36(-3)

10+108

118

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Answer:

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Step-by-step explanation:

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