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3 years ago

Evaluate each expression by substituting the cashier. Simplify if possible. J+3/8, if j= 3/4

Mathematics

1 answer:

nalin [4]3 years ago

8 0

The value of expression is: 9/8

Step-by-step explanation:

In order to evaluate the expression at given value, the given value is put into the expression and the expression is simplified.

Given expression is:

$j + \frac{3}{8}$

Putting j = 3/4

$= \frac{3}{4} + \frac{3}{8}\\=\frac{6+3}{8}\\=\frac{9}{8}$

Hence,

The value of expression is: 9/8

Keywords: Fractions, addition

Learn more about fractions at:

#LearnwithBrainly

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Find the measure of angle m

poizon [28]

Sum of degrees of a triangle = 180
Let’s call the missing angle x

60 + 84 + x = 180

144 + x = 180

X= 36

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3 years ago

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

Using first principle, this gives:

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

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

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

$S(1) = 1 + 1$

$S(1) = 2$

Hence, the smallest sum is 2

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4 years ago

Find the square root of the following (correct to three decimal place. (a) 2 1/12

Travka [436]

Answer:

1.443

Step-by-step explanation:

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3 years ago

Use the order pairs to find the linear equation in slope intercept form (0,10) & (3,2)

Virty [35]

$y = \frac{-8}{3}x + 10$ is the equation in slope intercept form

Solution:

Given points are (0, 10) and (3, 2)

We have to find the slope intercept form

Let us first find the slope of line

The slope of line is given as:

$m = \frac{y_2-y_1}{x_2-x_1}$

Here,

$(x_1, y_1) = (0, 10)\\\\(x_2, y_2) =(3,2)$

Substituting the values we get,

$m = \frac{2-10}{3-0}\\\\m = \frac{-8}{3}$

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

Substitute $m = \frac{-8}{3}$ and (x , y) = (0, 10) in eqn 1

$10 = \frac{-8}{3} \times 0 + c\\\\c = 10$

$Substitute\ m = \frac{-8}{3}\ and\ c = 10\ in\ eqn\ 1$

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3 years ago

Here's this too!!!!!

Oksanka [162]

Answer:

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7. (3p+4)(p-2)

8. Will explain below.

9. (5b+4)(5b-4)

Step-by-step explanation:

HELLOOO IM BACK

6. -4*9 = -36 (the variable), 9-4 = 5 (a) , so a^2 +5a - 36 is fulfilled.

7. 4*-2 = -8, 4-2 = 2, so 3p^2 - 2p - 8 is fulfilled.

9. 25b^2 = (5b)^2

16 = 4^2

Using the difference of squares formula, a^2-b^2= (a+b)(a-b)

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3 years ago