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dangina [55]
3 years ago
8

Find the limit as x approaches 25: x-25 √x-5

Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0

x - 25 = (√x)^2 - 5^2 = (√x - 5)(√x + 5)

Then

(x - 25)/(√x - 5) = √x + 5

and as x approaches 25, we get a limit of √25 + 5 = 5 + 5 = 10.

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On Saturday, the vacation resort offers a discount on water sports. To take
MakcuM [25]

Answer:

Let x be the discounting price of a surfing lessons per person

Let y be the discounted price of a surfing lessons per person

The cost of taking a surfing lesson and go parasailing is $130

x + y = 130--------------(i)

25 people take

Surfing lessons, and 30 people go parasailing and a total of $3,650 is collected

25x + 30y = 3650--------------(ii)

We solve for y using equ (i):

y = 130 - x ------------(iii)

Substitute equ (iii) to equ (ii) and solve for x

25x + 30(130 - x) = 3650

25x + 390 - 30x = 3650

-5x = -250

-x = 50

We solve for y using equ (iii):

y = 130 - x

y = 130 - 50

y = 80

So, the discounted price to take a surfing lesson is $50 and the discounted price to go parasailing is $80

3 0
3 years ago
5 is 5% of what number w
navik [9.2K]
5 = 0.05w
5 / 0.05 = w
100 = w........5 is 5% of 100
3 0
3 years ago
Read 2 more answers
Orthogonalizing vectors. Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, a
jeka57 [31]

Answer:

\\ \gamma= \frac{a\cdot b}{b\cdot b}

Step-by-step explanation:

The question to be solved is the following :

Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if b \neq 0. Recall that given two vectors a,b  a⊥ b if and only if a\cdot b =0 where \cdot is the dot product defined in \mathbb{R}^n. Suposse that b\neq 0. We want to find γ such that (a-\gamma b)\cdot b=0. Given that the dot product can be distributed and that it is linear, the following equation is obtained

(a-\gamma b)\cdot b = 0 = a\cdot b - (\gamma b)\cdot b= a\cdot b - \gamma b\cdot b

Recall that a\cdot b, b\cdot b are both real numbers, so by solving the value of γ, we get that

\gamma= \frac{a\cdot b}{b\cdot b}

By construction, this γ is unique if b\neq 0, since if there was a \gamma_2 such that (a-\gamma_2b)\cdot b = 0, then

\gamma_2 = \frac{a\cdot b}{b\cdot b}= \gamma

6 0
3 years ago
Factor the polynomial completely 6x^2-3x+2
fenix001 [56]

Answer:

can't be factored

answer is D

7 0
2 years ago
Read 2 more answers
NEED HELP ASAP!!!! PLEASE!!! Explain the answer!!
xz_007 [3.2K]
She is wrong because she did the square root of 25 multiplied by 2, she should have just done the square root of 50.

For the second part the square root of 50 is 7.07 which rounding would equal 7.1.

Hope this helps.(ノ◕ヮ◕)ノ*:・゚✧ 

4 0
3 years ago
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