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3 years ago

Given y < 4x – 6, explain how to graph this and decide whether or not (– 1, 5) is a solution to this inequality

Mathematics

1 answer:

svp [43]3 years ago

4 0

the point (-1,5 ) is NOT a solution to the inequality.

There are three steps in graphing an inequality:

Rearrange the equation so "y" is on the left and everything else on the right.

Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

Shade above the line for a "greater than" (y> or y≥)

or below the line for a "less than" (y< or y≤).

Now to solve this, graph the line y=4x-6

Lets use the point (0,0)

0<-6, is NOT true

So we shade everything to the left of the line y=4x-6

Hope that helped.

You might be interested in

Find three numbers such that their sum is 12, the sum of the first, twice the second, and three times the third is 31, and the s

Tpy6a [65]

Answer:

a = 3, b = -1, c = 10

Step-by-step explanation:

Let the three numbers be a, b and c.

Equation 1: a + b + c = 12

Equation 2: a + 2b + 3c = 31

Equation 3: 9b + c = 1

Equation 2 - Equation 1:

Equation 4: b + 2c = 19

Equation 3 times by the number 2

Equation 5: 18b + 2c = 2

Equation 5 - Equation 4

17b = -17

b = -1

Substitute into Equation 4:

2c - 1 = 19

2c = 20

c = 10

Substitute into Equation 1:

a + b + c = 12

a - 1 + 10 = 12

a = 3

8 0

2 years ago

Read 2 more answers

How would you find the volume of this cone?

posledela

Area of cone = 1/3 base × height = 1/3 × 8 × 10 = approximately 26.7 m

Ans= approx. 26.4 m

Happy to help. Please mark as brainliest!

4 0

2 years ago

find the length of each isosceles right triangle when the hypotenuse is of the given measure given 8cm

Wewaii [24]

It is given that the triangle is isosceles right triangle . And in an isosceles right triangle the legs are equal . Let each leg be of x units. Now we use pythagorean identity, which is

$a^2 +b ^2=c^2$

$x^2 +x^2 = 8^2$

$2x^2 = 64$

$x^2 = 32$

$x = 4 \sqrt 2$

So the length of each leg is $4 \sqrt 2 .$

4 0

2 years ago

The equation which represents x, the width of the border is 2 left-bracket (12 + 2 x) + (15 + 2 x) right-bracket = 74. What is t

bulgar [2K]

Answer:

2 1/2

Step-by-step explanation:

If you do the step by step calculation:

Step 1: Simplify both sides of the equation.

2(12+2x+15+2x)=74

(2)(12)+(2)(2x)+(2)(15)+(2)(2x)=74(Distribute)

24+4x+30+4x=74

(4x+4x)+(24+30)=74(Combine Like Terms)

8x+54=74

Step 2: Subtract 54 from both sides.

8x+54−54=74−54

8x=20

Step 3: Divide both sides by 8.

8x divide by 8 and that is 20 divided by 8

leaves you with the answer 5/2.

If you then turn the improper fraction into a mixed fraction you get 2 and one half.

Answer= 2 1/2 or "a" <u>DEPENDS ON WHAT QUIZ YOU HAVE</u>

Peace!

4 0

3 years ago

Suppose that c varies jointly with d and the square of g, and c = 30 when d = 15 and g = 2.

maksim [4K]

Answer:

$d = \dfrac{3}{16}$

Step-by-step explanation:

c varies jointly with d and the square of g

$c\propto dg^2$

$c=kdg^2$

where, k is constant of proportionality.

Put the given value c = 30 when d = 15 and g = 2 and find out k

$30=k\cdot 15\cdot 2^2$

$k=\dfrac{1}{2}$

$c=\dfrac{1}{2}kg^2$

If c = 6 and g = 8 then d = ?

$6=\dfrac{1}{2}\cdot d\cdot 8^2$

$d=\dfrac{6\cdot 2}{8^2}$

$d=\dfrac{3}{16}$

Hence, The value of d is $\dfrac{3}{16}$

5 0

3 years ago