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Valentin [98]
3 years ago
14

Identify the graph of the compound inequality (-2 < 2x -6)

Mathematics
2 answers:
cupoosta [38]3 years ago
6 0
Plug in 0 for z
 so it would change to -2<6 
____ [38]3 years ago
6 0

Answer:

x>2

Step-by-step explanation:

We have been given an inequality -2. We are asked to graph the given inequality.

Let us solve for x.

Add 6 on both sides:

-2+6

4

Divide both sides by 2:

\frac{4}{2}

2

x>2

Therefore, the solution for our given inequality is all values of x greater than 2.

We will have an open dot at x=2 and the arrow will on number line will point towards positive side.

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Describe two different ways that you could find the product 8 x 997 using mental math. Find the product and explain why your met
jolli1 [7]
One method is to round 997 up to 1000, multiply by 8, and then subtract 8 times 3. This would give you the solution of 7976.

Another method (Which I personally wouldn't use) is to recursively double 997. This is more difficult, although effective. After you double 997, double the resulting number, and then double the resulting number from that, you have the solution. This is because 2^3 is 8. 
5 0
2 years ago
Please Help!! I will give Brainliest to the correct answer!!
Likurg_2 [28]

Answer:

84.5

Step-by-step explanation:

12.3(3)+11.9(4)=84.5

3 0
2 years ago
Read 2 more answers
The length of a rectangle is four more than triple the width. if the perimeter is 120 inches, find the dimensions.
mezya [45]
120/2=60 (sum of both lengths)
4x+4=60
4x=56
x=14

length=46
width=14
5 0
2 years ago
4 of 4
Vlada [557]

Answer:

£30

Step-by-step explanation:

Let Brian initially had money in his wallet = £x

and Colin had the money = £y

Since ratio of money in Brian's wallet to Colin's wallet was 5 : 1

Therefore,  

⇒ x = 5y -------(1)

Brian spent £27 that day, so money left with him = £(x - 27)

After spending the money Brian had £3 less than Colin.

(x - 27) = (y - 3)

x = y + 27 - 3

x = y + 24 -------(2)

Now we equate the equations (1) and (2) for the value of x,

5y = y + 24

5y - y = 24

4y = 24

y = £6

From equation (2),

x = 6 + 24

x = £30

Therefore, Brian initially had £30.

i hope this helps

3 0
2 years ago
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=2−x2. What are the dimensions of su
Paul [167]

Answer:

Step-by-step explanation:

Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

y=2-x^2

the parabola is open down with vertex at (0,2)

We can find that the rectangle also will be symmetrical about y axis.

Let the vertices on x axis by (p,0) and (-p,0)

Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation

Now width = 2-p^2

Area = l*w = 2(2p-p^3)

Use derivative test

I derivative = 2(2-3p^2)

II derivative = -12p

Equate I derivative to 0 and consider positive value only since we want maximum

p = \sqrt{\frac{2}{3} }

Thus width= \sqrt{\frac{2}{3} }

Length =2\sqrt{\frac{2}{3} }

Width = 2-2/3 = 4/3

3 0
3 years ago
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