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3 years ago

Which is the graph of the system of inequalities y > 4/5 x – 1/5 and y < 2x + 6

Mathematics

2 answers:

Mice21 [21]3 years ago

8 0

Answer: The coefficient of x tells you the slope.

The constant tells you the y-intercept.

Step-by-step explanation: see the attachment

sashaice [31]3 years ago

7 0

Step-by-step explanation:

firstly in equation y= 2x+6 suppose the value of y as zero and find the value of x. again suppose the value of x as 0 and find the value of y. Do the same for other equation as well and you get two values of X and y.

Also find the slope of each equation by the formula :

slope= - coefficient of x / coefficient of y. and solve by plotting the points according to the slope.

You might be interested in

Using the distributive property write a numerical expression that is equivalent to 25+10

Diano4ka-milaya [45]

Answer: 5(5 + 2)

Step-by-step explanation: We will be using the distributive property to write a numerical expression that is equivalent to 25 + 10.

The expression 5(5 + 2) is an expression that uses the distributive property and is equivalent to 25 + 10.

5(5 + 2) is equivalent to 25 + 10 because all your doing when using the distributive property is multiply the number outside the parentheses by the numbers inside the parentheses. 5 x 5 = 25 and 5 x 2 = 10, which means 5(5 + 2) equals 25 + 10.

6 0

3 years ago

xand y are light house. y being 20km due east of x and from a ship due south of x the bearing of y was 055°. what is the distanc

leonid [27]

Answer:

I) |xz| ≈ 28.6 km

II) |yz| ≈ 34.8 km

Step-by-step explanation:

Let's assume that the position of ship due south of x is z (aà pictor representation of the question is attached)

|xy| = 20 km, |xz| = ?, |yz| = ?, θ(y) = 55°

Using Trigonometric ratio - SOHCAHTOA

I) Tan θ = |xz| ÷ |xy| ⇒ Tan 55° = |xz| ÷ 20

|xz| = 20 * Tan 55 = 20 * 1.428

|xz| = 28.56 km

|xz| ≈ 28.6 km

II) Cos θ = |xy| ÷ |yz| ⇒ Cos 55° = 20 ÷ |yz|

|yz| * Cos 55° = 20 ⇒ |yz| = 20 ÷ Cos 55°

|yz| = 20 ÷ 0.574 = 34.84 km

|yz| ≈ 34.8 km

4 0

3 years ago

If y = 3x^3 - 2x and dx/dt equals 3, find dy/dt when x = -2. Give only the numerical answer. For example, if dy, dt = 4, type on

Nadya [2.5K]

Answer:

$\frac{dy}{dt} = 102$

Step-by-step explanation:

step(i)

Given function y = 3 x³ - 2 x ... (i)

Differentiating equation (i) with respective to 'x'

$\frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)$

Given x = -2

$(\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)$

$(\frac{dy}{dx} ) x_{=-2} = 36 -2 =34$

Step(ii):-

we know that

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

Given $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

substitute values $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

⇒ $34 = \frac{\frac{dy}{dt} }{3 }$

cross multiplication , we get

$\frac{dy}{dt} = 34( 3 ) = 102$

Final answer:-

$\frac{dy}{dt} = 34( 3 ) = 102$

8 0

3 years ago

on a piece of paper, graph y<-3/4x+2. Then determine which answer choice matches the graph you drew.

exis [7]

Answer:

D. Graph D

Step-by-step explanation:

The "y <" tells you two things: (1) shading will be below the line, where y-values are less than those on the line, and (2) the line will be dashed, because the "equal to" case is not included.

Only one graph has a dashed line with shading below: Graph D.

7 0

3 years ago

Hey again! back again with ratios

ozzi

Answer:

Two ratios equivalent to 27:9

A) 3:1

B)9:3

3 0

3 years ago

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