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2 years ago

Peter bought 8 lemons for $6. Each lemon was the same price. What was the cost of 1 lemon?

Mathematics

2 answers:

valkas [14]2 years ago

3 0

Answer:

The price for 1 lemon is $0.75

Step-by-step explanation:

8x=$6

8x/8=6/8

x=$0.75

Murrr4er [49]2 years ago

3 0

0.75 is the correct answer!!

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If x√(1+y) + y√(1+x) = 0 , then dy/dx = ?

frutty [35]

$DIFFERENTIAL \: \: \: CALCULUS \\ \\ \\ Given \: expression \: - \\ \: \\ x \sqrt{1 + y} \: = \: y \sqrt{1 + x} \\ \\ x \sqrt{1 + y} \: = \: - y \sqrt{1 + x} \\ \\ \\ Squaring \: both \: sides \: , \: We \: get \: - \: \\ \\ {x}^{2} (1 + y) = {y}^{2} (1 + x) \\ \\ {x}^{2} + {x}^{2} y - {y}^{2} - x {y}^{2} = 0 \\ \\ ( {x}^{2} - {y}^{2} ) + xy(x - y) = 0 \\ \\ (x - y)(x + y + xy) = 0 \\ \\ Therefore \: , \: either \: \: y=x \: \: or \: \\ \: \: \: \: \: \: \: \: \: \: \: x+y+xy=0 \\ \\ \\ Since \: , \: \: x=y \: \: doesn't \: satisfy \: the \\ given \: function \: , \: we \: reject \: it \\ \\ x + y + xy = 0 \\ \\ y \: \: = \: \: \frac{ - x}{1 + x} \\ \\ \frac{dy}{dx} \: \: = \: - \: \frac{(1 + x) - x.1}{ {(1 + x)}^{2} } \\ \\ \\ \frac{dy}{dx} = \frac{ - 1}{( {1 + x)}^{2} } \: \: \: \: \: \: \: \: \: Ans.$

6 0

2 years ago

The graph of linear function k passes through the points (-3, 0) and (1, 8). Which statement must be true?

grin007 [14]

Answer:

B. The slope of the graph of k is 2.

Step-by-step explanation:

<h3>Find the equation of the line.</h3>

<u>The slope is:</u>

m = (8 - 0)/(1 + 3) = 2

<u>The y-intercept is:</u>

0 = -3*2 + b
b = 6

y = 2x + 6

<h3>Now lets look at the answer options</h3>

A. <u>The x-Intercept of the graph of k is 8.</u>

The x- intercept is -3, False

B. <u>The slope of the graph of k is 2.</u>

m = 2, True

C. <u>The graph of k passes through (-1, -8).</u>

-8 = 2(-1) + 6
-8 = 4, False

D. <u>The zero of k is 3.</u>

x = 0 ⇒ y = 0+ 6 = 6, False

4 0

2 years ago

Read 2 more answers

What is the result of converting 6 inches into centimeters

svetlana [45]

The conversion rate is 1 inch = 2.54 cm. So for this, we will have to multiply 6 times 2.54 to get the length in centimeters.

6 x 2.54 = 15.24

6 inches equals 15.24 cm.

Hope that helps!

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3 years ago

Question 5

12345 [234]

Answer:

Step-by-step explanation:

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2 years ago

Simplify these expressions.<br> a. 4x + 7x + (–x)<br> b. –5yz + yz + 2yz

salantis [7]

Answer:A. 10x. B. -2yz

Step-by-step explanation:

A. 4x+7x=11x

11x+(-x) = 11x-1x=10x

B. -5yz+yz=-4yz

-4yz+2yz=-2yz

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2 years ago