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Crazy boy [7]
3 years ago
15

Solve |y - 2|<10 {y|-8 < y < 12} {y|-12 < y < 8} {y|-8 < y < 8}

Mathematics
1 answer:
lukranit [14]3 years ago
3 0
The answer is -8 < y < 12
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2x^2+3x-2, a=0 How do I find the derivative?
Ghella [55]

You can use the definition:

\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h

Then if

f(x) = 2x^2+3x-2

we have

f(x+h) = 2(x+h)^2+3(x+h) - 2 = 2x^2 + 4xh+2h^2+3x+3h-2

Then the derivative is

\displaystyle f'(x) = \lim_{h\to0}\frac{(2x^2+4xh+2h^2+3x+3h-2)-(2x^2+3x-2)}h \\\\ f'(x) = \lim_{h\to0}\frac{4xh+2h^2+3h}h \\\\ f'(x) = \lim_{h\to0}(4x+2h+3) = \boxed{4x+3}

I'm guessing the second part of the question asks you to find the tangent line to <em>f(x)</em> at the point <em>a</em> = 0. The slope of the tangent line to this point is

f'(0) = 4(0) + 3 = 3

and when <em>a</em> = 0, we have <em>f(a)</em> = <em>f</em> (0) = -2, so the graph of <em>f(x)</em> passes through the point (0, -2).

Use the point-slope formula to get the equation of the tangent line:

<em>y</em> - (-2) = 3 (<em>x</em> - 0)

<em>y</em> + 2 = 3<em>x</em>

<em>y</em> = 3<em>x</em> - 2

5 0
3 years ago
A pick-up weighing 1.4 t is loaded with 40 bags of cement each weighing 50 kg. What in the total weight of the pick-up and its l
mixer [17]

Answer:

3.4 tonnes

Step-by-step explanation:

Kg --> tonnes = / 1000

50 x 40 / 1000 = 2. 2 + 1.4 = 3.4.

5 0
2 years ago
What is the y-intercept of the graph of 4y = 2x + 8?<br> 4<br> 2<br> 6<br> 00<br> N
Jet001 [13]

Answer:

2

Step-by-step explanation:

4y = 2x + 8

First get the equation in slope intercept form  y= mx+b where m is the slope and b is the y intercept

Divide each side by 4

4y/4 = 2x/4 +8/4

y = 1/2x +2

The slope is 1/2 and the y intercept is 2

8 0
3 years ago
Read 2 more answers
The nth term of another sequence is n² + 7n
Romashka-Z-Leto [24]

Answer:

a(10) = 170

Step-by-step explanation:

Given that,

The nth term fo the sequence is :

a(n) =  n² + 7n

We need to find the 10th term of the sequence.

Put n = 10 in the above sequence,

a(10) =  (10)² + 7(10)

= 100 + 70

= 170

So, the 10th term of the sequence is 170.

8 0
3 years ago
Eli’s class held a fund raising event last month. The class’s expenses were+5.75, +4.75, and +3.75. The amounts of money the cla
Step2247 [10]

The different orders of computation is +56.6

Based on the funding in Eli's class;

The class’s expenses were +5.75, +4.75, and +3.75

Total expenses = +5.75 +4.75 +3.75

Total expenses = +14.25

If the amounts of money the class raised were +13.50, +24.70, +13.15, and +19.50, the total raised is expressed as:

Total money raised = 13.50 +24.70 + 13.15 +19.50

Total money raised = +70.85

Difference in computations = +70.85 - 14.25

Difference in computations = +56.6

Hence the different orders of computation is +56.6

Learn more here: brainly.com/question/21002308

4 0
3 years ago
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