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LuckyWell [14K]
3 years ago
13

ASAP HELP:The number of chapters read, y, after x days. The 5 slope of the line is and the y-intercept is 2. slope means... y-in

tercept means...​

Mathematics
1 answer:
Rufina [12.5K]3 years ago
3 0

Answer:

Step-by-step explanation:

The number of chapters read = y

Number of days spent to read = x

Slope of the line = \frac{5}{4} ≈ 1.25

y-intercept = 2

Slope means "number of pages read per day"

For slope = 1.25 means "1.25 pages read per day"

y-intercept means "Number of pages read initially"

y-intercept = 2 means "2 pages have been already read"

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David wants to fill his backyard swimming pool. His garden hose delivers 40 gallons in 5 minutes. How many gallons of water will
svetlana [45]

Answer:

Part a) 160\ gallons

Part b) 480\ gallons

Step-by-step explanation:

Part a) How many gallons of water will be in the pool after 20 minutes?

we know that

Using proportion

\frac{40}{5}\frac{gallons}{minutes}=\frac{x}{20}\frac{gallons}{minutes} \\ \\x=40*20/5\\ \\x=160\ gallons

Part b) How many gallons of water will be in the pool after 1 hour

we know that

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Using proportion

\frac{40}{5}\frac{gallons}{minutes}=\frac{x}{60}\frac{gallons}{minutes} \\ \\x=40*60/5\\ \\x=480\ gallons

5 0
3 years ago
Use the given inverse to solve the system of equations. left brace Start 3 By 3 Matrix 1st Row 1st Column x minus y plus z 2nd C
natka813 [3]

The interpretation of the given question is as follows:

Use the given inverse to solve the system of equations

x- y - z = -6  \\ \\ 2y + z = -6 \\ \\  3x -8 y = - \dfrac{1}{2}

The inverse of  \left[\begin{array}{ccc}1&-1&1\\0&2&1\\3&-8&0\end{array}\right]   is \left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right]

x =

y =

z =

Answer:

x = - 1.5

y = - 0.5

z =  - 5

Step-by-step explanation:

Using the correlation  of inverse of matrix AX = B to solve the question above;

AX = B

⇒ A⁻¹(AX)  = A⁻¹ B

X =  A⁻¹ B

So ;

X         =        A⁻¹                             B

\left[\begin{array}{c}x\\y\\z\end{array}\right] =     \left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right] =   \left[\begin{array}{ccc}-6\\ -6\\- \dfrac{1}{2}\end{array}\right]

   

 \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(-8*-6)+(8*-6)+(3*-\dfrac{1}{2})\\(-3*-6)+(3*-6)+(1*-\dfrac{1}{2})\\(6*-6)+(5*-6)+(-2* - \dfrac{1}{2})\end{array}\right]

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(48)+(-48)+(\dfrac{-3}{2})\\(18)+(-18)+(\dfrac{-1}{2})\\(-36)+(30)+(1)\end{array}\right]

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(\dfrac{-3}{2})\\(\dfrac{-1}{2})\\(-5)\end{array}\right]

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-1.5\\-0.5\\ -5\end{array}\right]

5 0
3 years ago
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