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3 years ago

Which option shows the graph of 2y-10 < 3x?

Mathematics

1 answer:

Alex3 years ago

6 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$2y-10 < 3x$

isolate the variable y

Adds 10 both sides

$2y < 3x+10$

Divide by 2 both sides

$y < 1.5x+5$

The solution of the inequality is the shaded area below the dashed line $y=1.5x+5$

The slope of the dashed line is positive

The y-intercept of the dashed line is (0,5) (value of y when the value of x is equal to zero)

The x-intercept of the dashed line is (-3.33,0) (value of x when the value of y is equal to zero)

using a graphing tool

The graph in the attached figure

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<img src="https://tex.z-dn.net/?f=%5Clarge%5Csf%5Cfbox%5Cred%7BQuestion%3A-%7D" id="TexFormula1" title="\large\sf\fbox\red{Quest

tamaranim1 [39]

Answer:

The function is injective but nor surjective

Step-by-step explanation:

We see that:

f(x) = x³

For any x₁ and x₂ ∈ N,

f(x) = x₁³ = x₂³ ⇒ x₁ = x₂, both are natural numbers

It it confirmed one-to-one, hence it is injective

Check the surjectivity:

f(x) = y ∈ N

x³ = y
y = ∛x

Let y = 2, then:

2 = x³
x = ∛2 ∉ N

Since x is not natural, the function is not surjective

6 0

3 years ago

Read 2 more answers

If a line has a negative slope what is it general direction

docker41 [41]

Down, the line is going down

6 0

3 years ago

Watch help video

finlep [7]

3√5

The distance between two points on an XY plane is calculated using the distance formula, which is employed in coordinate geometry or Euclidean geometry. The x-coordinate, often known as the abscissa, is a point's separation from the y-axis. The y-coordinate, often known as the ordinate, refers to a point's separation from the x-axis. A point on the x-axis has coordinates of the form (x, 0), and a point on the y-axis has coordinates of the form (0, y). We utilize the Pythagoras theorem in this case to determine the separation between any two points in a plane.

Distance formula = √ ( x₁ - x₂)² + ( y₁ - y₂)²

= √ 6² + 3²

=3√5

To learn more about distance formula, refer to brainly.com/question/7243416

#SPJ9

7 0

2 years ago

PLS HELP QUICK, I HAVE A TEST, more points

bezimeni [28]

Answer:

Options (1), (3), (5) and (6)

Step-by-step explanation:

Option (1)

Both the circles M and H are same in shape. Therefore, both are similar.

True

Option (2)

MH = MS = [Radii of a circle]

MH = MO + OH

MH = ME + OH [Since, MO = ME]

MH = 10 + 25 = 35 cm

Area of circle M = πr²

= π(35)²

= 1225π

Area of circle H = π(25)²

= 625π

$\frac{\text{Area of M}}{\text{Area of H}}=\frac{1225\pi }{625\pi }$

Area of M = 1.96(Area of H)

False

Option 3

OH + MS = 25 + 35

= 60 cm

True

Option 4

m∠HMS = 90°

Can't be figured out with the given informations

False

Option 5

Diameter of circle H = 2(radius)

= 2(25)

= 50 cm

True

Option 6

Circumference of circle S = 2πr

= 2π(ES)

Circumference of circle M = 2π(MS)

Ratio of the circumference of circle S and M = $\frac{2\pi (ES)}{2\pi (MS)}$

= $\frac{ES}{MS}$

True.

Options (1), (3), (5) and (6) are correct.

3 0

3 years ago

In slope intercept form what is the equation of the line having a slope of 5 and passing through the point (-6,-26)

____ [38]

Slope/gradient = 5
y= MX + C
(-6,-26)
-6 is x1 and -26 is y1
so therefore y= 5x -26

5 0

4 years ago