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3 years ago

On a piece of paper graph y ≤ - 2x. Then determine which answer matches the graph you drew ?

Mathematics

1 answer:

nataly862011 [7]3 years ago

4 0

Answer:

hope it helps

Step-by-step explanation:

The given inequality is

The sign of inequality is ≤, it means the points on relation line lie in the solution set.

The related equation of the inequality is

At x=0,

At x=1,

Plot the points (0,0) and (1,-2) on a coordinate plane.

The sign of inequality is ≤, it means we have shade below the line.

The point (-2,4) and (3,-6) are in solution set because,

(True)

Therefore option A is correct.

The points (1,2) and (1,3) are not in the solution set because,

(False)

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laiz [17]

Answer:

F ) √ 9/64

Step-by-step explanation:

√ 9/64 simplifies into 3/8, which is a rational number

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3 years ago

I don't understand how to solve this, please help!

murzikaleks [220]

Answer:

x+1 , x<-1

x²-bx-4 , -1≤x≤4

1/2 x +a

substitute x=-1 , continuous everywhere

x+1=x²-bx-4 when x=-1

-1+1=-1²-b-4

then for :

x²-bx-4=1/2 x +a for x=4

4²-4b-4=1/2x+a

16-4(3)-4=4/2+a

16-12-4-2=a

the equations will be :

x+1

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I hope this help

7 0

3 years ago

A biologist has been observing a tree's height. This type of tree typically grows by 0.22 feet each month. Fifteen months into t

Lyrx [107]

Data:

x: number of months

y: tree's height

Tipical grow: 0.22

Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)

In this case the slope (m) or rate of change is the tipical grow.

m=0.22

To find the line's slope-intercep equation you use the slope (m) and the given values of x and y (15 , 20.5) in the next formula to find the y-intercept (b):

$\begin{gathered} y=mx+b \\ 20.5=0.22(15)+b \\ 20.5=3.3+b \\ 20.5-3.3=b \\ 17.2=b \end{gathered}$

Use the slope(m) and y-intercept (b) to write the equation:

$\begin{gathered} y=mx+b \\ \\ y=0.22x+17.2 \end{gathered}$ A) This line's slope-intercept equation is: y=0.22x+17.2

B) To find the height of the tree after 29 months you substitute in the equation the x for 29 and evaluate to find the y:

$\begin{gathered} y=0.22(29)+17.2 \\ y=6.38+17.2 \\ \\ y=23.58 \end{gathered}$ Then, after 29 months the tree would be 23.58 feet in height

C) In this case as you have the height and need to find the number of moths you substitute the y for 29.96feet and solve the equation for x, as follow:

$\begin{gathered} 29.96=0.22x+17.2 \\ 29.96-17.2=0.22x \\ 12.76=0.22x \\ \frac{12.76}{0.22}=x \\ \\ 58=x \end{gathered}$ Then, after 58 months the tree would be 29.96feet tall

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1 year ago

If I have 10 crates of beer each with 12 bottles inside, selling each for R19.00 (South African currency Rand), how much money w

lakkis [162]

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Step-by-step explanation:

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Total bottles = 10 x 12 = 120

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2 years ago

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scoundrel [369]

Answer:

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Step-by-step explanation:

A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).

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3 years ago