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Ksenya-84 [330]
3 years ago
8

Please someone help.

Mathematics
2 answers:
Troyanec [42]3 years ago
7 0
1. 950
2. 608
3. 1976
4.2698
5. 1216
IgorLugansk [536]3 years ago
5 0
1. 950
2. 608
3. 1,976
4. 2,698
5. 1,216
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If f and g are continuous functions with f(0) = 2 and the following limit, find g(0). lim_(x->0)[2 f(x) - g(x)] = -3
ladessa [460]

We have by distributivity of limits over sums, and continuity of f(x) and g(x), that

\displaystyle \lim_{x\to0} \bigg(2f(x) - g(x)\bigg) = 2 \lim_{x\to0} f(x) - \lim_{x\to0} g(x) = 2 f(0) - g(0)

Given f(0)=2, it follows that

2^2 - g(0) = -3 \implies g(0) = \boxed{7}

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1 year ago
Give the simple formula for the nth term of the following arithmetic sequence. Your answer will be of the form an + b.
klasskru [66]
14, 18, 22, 26, 30, . . . = 14, 14 + 4, 14 + 8, 14 + 12, 14 + 16, . . . = 14, 14 + 1(4), 14 + 2(4), 14 + 3(4), 14 + 4(4), . . . = 14 + 4(n - 1) = 14 + 4n - 4 = 4n + 10
6 0
3 years ago
How do i solve for this? 19-13p=-17p-5=
Vsevolod [243]
19-13p=-17p-5
+5                +5
24-13p=-17p
   +13p   +13p
24=-4p
/-4   /-4
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7 0
3 years ago
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Solve for x: tan(180-ø).tan(90+ø)+xcos(90+ø).(cos90-ø) =sinø.(sin180-ø) ​
Burka [1]
Is there a picture that I’m able to look at??
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3 years ago
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Find the value of x.
slavikrds [6]

Answer:

x=11

Step-by-step explanation:

we know that

The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.

so

In this problem

(x+5)=\frac{1}{2}(3x-1)

solve for x

Multiply by 2 both sides

2x+10=3x-1

subtract 2x both sides

10=3x-1-2x

10=x-1

Adds 1 both sides

x=11

3 0
3 years ago
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