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lions [1.4K]
3 years ago
8

Add. x−2x2−6x+8+x−4x2−16

Mathematics
1 answer:
Anastaziya [24]3 years ago
3 0
Step 1. Gather like terms

(x-6x+x)+(-2 x^{2} -4 x^{2})+8-16

Step 2. Simplify

-4x-6 x^{2}+8-16

Step 3. Simplify

-4x-6 x^{2}-8

Done!
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Express the interval in set-builder notation and graph the interval on a number line<br> (-6.2]
zzz [600]

Answer:

{x|-6}

The number line is attached.

Step-by-step explanation:

By definition Set-builder notation is a mathematical shorthand used to provide specific details about a set.

In this case, you have the following interval:

(-6,2]

You can obsseve that the left hand contains a parentheses, which means that -6 it is not included, then:

-6

The right hand contains a bracket, which means that 2 is included:

\leq 2

The inequality is:

-6

Therefore, in Set-builder notation this is:

{x|-6}

Observe the number line attached. Since -6 is not included, you must use an unfilled circle. Since 2 is included, you must use a filled circle.

7 0
3 years ago
Which expression is equivalent to the following expression? 9(x - 5)
aleksley [76]

Answer:

9x - 45

Step-by-step explanation:

9 * x = 9x and 9 * -5 = -45. Therefore the answer is 9x - 45

7 0
3 years ago
Read 2 more answers
Please help, I’m struggling
Naddika [18.5K]

Answer:

49.5 mi

Step-by-step explanation:

Area of a triangle is   A = (height) X (base) / 2

So if you plug in the numbers you get:

806.9 = (32.6) X (base) / 2

1613.8 = (32.6) X (base)

1613.8 / 32.6 = base

base =  49.5 mi

8 0
2 years ago
PLZ HELP ASAP!!!!!!!,
lilavasa [31]
The answer to your question is 10 seconds. I know this because:

distance divided by speed=time
let t=time
t=2*6(30/36)=10
t=10
So, it took Boris a total of 10 seconds to run up the out of service elevator.

Hope this helps!
8 0
3 years ago
Read 2 more answers
If ln(4x+y)=2x-3,then dy/dx=
Viktor [21]

\ln(4x+y)=2x-3

Differentiate both sides wrt x:

\dfrac{\mathrm d(\ln(4x+y))}{\mathrm dx}=\dfrac{\mathrm d(2x-3)}{\mathrm dx}

By the chain rule, we get

\dfrac1{4x+y}\dfrac{\mathrm d(4x+y)}{\mathrm dx}=2

\dfrac{4+\frac{\mathrm dy}{\mathrm dx}}{4x+y}=2

Solve for \frac{\mathrm dy}{\mathrm dx}:

4+\dfrac{\mathrm dy}{\mathrm dx}=8x+2y

\boxed{\dfrac{\mathrm dy}{\mathrm dx}=8x+2y-4}

4 0
2 years ago
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