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Effectus [21]
3 years ago
5

Write the following inequality in slope intercept form -6x+3y>-45

Mathematics
1 answer:
QveST [7]3 years ago
6 0

Slope intercept form is y = mx + c.

<em>(where m is the slope, and c is the intercept - hence slope intercept form)</em>

So all you have to do is rearrange the inequality to have y by itself.

-6x + 3y > - 45                <em>(add 6x to both sides)</em>

        3y > - 45 + 6x        <em>(divide both sides by 3)</em>

          y > - 15 + 2x         <em>(put the 2x infront of the - 15) </em>

          y > 2x - 15

- - - - - - - - - - - - - - - - - - - - - - -

Answer:

y > 2x - 15

- - - - - - - - - - - - - - - - - - - - - - -

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Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following
vivado [14]

Answer:  (-0.4, 6.8)

The graph is attached

Step-by-step explanation:

We can find the axis of symmetry using the formula x = -b/2a

x = - -4/2(-5)

x = 4/-10

x = 0.04

Substitute for x and calculate y

y = \left(0.4^{2}\right)\left(-5\right)-4\left(-0.4\right)\ +6

y = 6.8

3 0
3 years ago
Find a recurrence relation for the number of sequences of 1s, 3s, and 5s whose terms sum to n. (b) Repeat part (a) with the adde
Vladimir [108]

Answer:

The solution has been given in the following attachment .

Step-by-step explanation:

3 0
3 years ago
How do I solve this problem ​
Vaselesa [24]
C = 84 degrees

A = 2B
C = A + 20
A + B + C = 180

A = 2B
A/2 = B

A + (A/2) + (A+20) = 180
multiply each side by 2
2A + A + 2A + 40 = 360
combine like terms
5A + 40 = 360
subtract 40 from both sides
5A = 320
divide both sides by 5
A = 64

C = A + 20
C = 64 + 20
C = 84
4 0
3 years ago
The angles in a triangle are in the ratio 1:2:3 a) Show that the triangle is a right -angled triangle b) The hypotenuse of the t
Hitman42 [59]

Answer:

8.5 cm

Step-by-step explanation:

Angles of the triangle:

  • x+2x+3x= 180
  • 6x= 180
  • x= 30
  • 30°, 60° and 90°

Right triangle as it has 90° angle

Sides are a, b and 19 cm

  • sin 30°= a/19 ⇒ a= 19 sin 30°= 19*0.5= 8.5 cm  = shortest side
  • sin 60°= b/19 ⇒ b= 19 sin 60°= 19*0.866= 16.45 cm
5 0
3 years ago
And can you please show your answer thx
MrMuchimi

Answer:

y=4x is the answer

Step-by-step explanation:

5 0
4 years ago
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