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3 years ago

Write an equation in point slope form (4,2) m=7

Mathematics

1 answer:

serg [7]3 years ago

7 0

Answer:

y=7x-26

Step-by-step explanation:

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Gina wants to make

gavmur [86]

Answer:

6.75 pounds

Step-by-step explanation:

This question is of direct variation. We will use x as our answer. 8 is 2/3 of 12, so 4.5 should be 2/3 of x. We can now make an equation.

$4.5=\frac{2}{3} x\\4.5*\frac{3}{2} =\frac{2}{3} x*\frac{3}{2} \\6.75=x$

In order to solve the equation, we multiply both sides by the reciprocal of 2/3, which is 3/2.

* stands for multiplication

From solving our equation, we get 6.75. We can't forget the units, so the answer is 6.75 pounds.

3 0

3 years ago

Lance and Alex have 70 pencils. Lance has 4 times as many pencils as Alex. Alex's pencils are shared equally among 2 children. H

gogolik [260]

let l = lance, and a = alex.

so: l + a = 70

and l = 4a

Putting the value for l in the first equation:

4a +a = 70

5a = 70

a = 14.

So Alex has 14 pencils. And Lance has (70-14) 56 pencils.

And if each child gets half of Alex' pencils, then each child will have 7 pencils.

6 0

3 years ago

Find the mean of the data set if necessary round to the nearest tenth 16, 12, 8, 22, 25, 8

Taya2010 [7]

15.2

16 + 12 + 8 + 22 + 25 + 8 = 91 / 6 = 15.16 = 15.2

4 0

3 years ago

What is slope intercept form

Nat2105 [25]

Slope intercept form is y=mx+b

4 0

3 years ago

Read 2 more answers

Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

<em>Hence, the smallest sum is 2</em>

3 0

3 years ago