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GenaCL600 [577]
3 years ago
10

Anyone know how to do this

Mathematics
1 answer:
zheka24 [161]3 years ago
4 0
Y-2= -1/2(x+6)
Y-2= -1/2x - 3
Answer is:
Y= -1/2x -1
So your answer is A
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amid [387]
B. 2 tons is the ANS
6 0
3 years ago
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Two hoses are filling a pool the first hose fills at a rate of x gallons per minute the second hose fills at a rate of 15 gallon
Zielflug [23.3K]

Answer:

B. (0, 5]∪(15,30] only (15,30] contains viable rates for the hoses.

Step-by-step explanation:

The question is incomplete. Find the complete question in the comment section.

For us to meet the pool maintenance company's schedule, the pool needs to fill at a combined

rate of at least 10 gallons per minute. If the inequality represents the combined rates of the hoses is 1/x+1/x-15≥10 we are to find all solutions to the inequality and identifies which interval(s) contain viable filling rates for the  hoses. On simplifying the equation;

\frac{1}{x} + \frac{1}{x-15} \geq \frac{1}{10}\\\\ find\ the \  LCM \ of \ the function \ on \ the \ LHS\\\\\frac{x-15+x}{x(x-15)} \geq \frac{1}{10}\\\\\frac{2x-15}{x(x-15)} \geq  \frac{1}{10}\\\\10(2x-15)\geq x(x-15)\\\\20x-150\geq x^2-15x\\\\collect \ like \ terms\\-x^2+20x+15x - 150\geq 0\\

-x^2+35x-150 \geq 0\\\\multipply \ through \ by \ minus\\x^2-35x+150 \leq  0\\\\(x^2-5x)-(30x+150) \leq  0\\\\x(x-5)-30(x-5) \leq 0\\\\

(x-5)(x-30) \leq 0\\\\x-5 \leq 0 and x - 30 \leq 0\\\\x \leq  5 \ and \ x \leq 30

The interval contains all viable rate are values of x that are less than 30. The range of interval is (0, 5]∪(15,30]. Since the pool needs to fill at a combined  rate of <em>at least 10 gallons per minute</em> for the pool to meet the company's schedule, <em>this means that the range of value of gallon must be more than 10, hence (15, 30] is the interval that contains the viable rates for the hoses.</em>

6 0
3 years ago
Prove each of these identities.
Stella [2.4K]

Answer:

Identity (a) can be re-written as

sec x\ cosec x  - cot x = tan x

which we already proven in another question, while for idenity (b)

(A)\frac 1 {sin x} -sin x = cos x \frac{cos x}{sin x}\\\\(B)\frac {1-sin^2x}{sin x} = \frac {cos^2x} {sin x} \\\\(C) \frac {cos^2x}{sin x} =\frac {cos^2x} {sin x}

step A is simply expressing each function in terms of sine and cosine.

step B is adding the terms on the LHS while multiplying the one on RHS.

step C is replacing the term on the numerator with the equivalent from the pithagorean identity cos^2x  + sin^2x = 1

8 0
2 years ago
Find the slope of the line perpendicular to the given points. Use / for a fraction.<br> Explain how
stiv31 [10]

Answer:

i think -1/26

Step-by-step explanation:

(y2 - y1) / (x2 - x1)

(-15+16) /(-7-19)

1/-26

6 0
4 years ago
Factor the four-term polynomial by grouping 3x-3+x^3-4x^2
yaroslaw [1]
(x4−3x3+4x2−8)/(x+1) = x3−4x2<span>+8x−8.</span>
6 0
4 years ago
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