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vlabodo [156]
3 years ago
10

Which value of x makes the inequality -* < 8 true?

Mathematics
1 answer:
elena55 [62]3 years ago
6 0

Answer:

D: x = 2

Step-by-step explanation:

Go down the multiple choices answers and plug each value in for x until the inequality is true:

A:

1/4(32) < 8

1/4 × 32/1 < 8

32/4 < 8

8 < 8

8 is not less than 8 so this is false (8 = 8).

B:

1/4(35) < 8

35/4 < 8

8 3/4 < 8

8 3/4 is not less than 8 so this is false (8 3/4 > 8).

C:

1/4(34) < 8

34/4 < 8

8 2/4 < 8

8 2/4 is not less than 8 so this is false (8 2/4 > 8).

D:

1/4(2) < 8

2/4 < 8

2/4 is less than 8 so this is true (2/4 = 1/2 = 0.5 > 8).

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Solve for x in the given equation: ax - b = c
lord [1]

An equation is formed of two equal expressions. The value of x is the equation ax-b=c is (c+b)/(a).

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution of x in the given equation can be written as,

ax - b = c\\\\ax = c+b\\\\x = \dfrac{c+b}{a}

Hence, the value of x is the equation ax-b=c is (c+b)/(a).

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5 0
2 years ago
How much interest is earned in 2 years on an investment of $2000? The interest rate is 3%.
Lelechka [254]

 In this sum we will calculate using the simple  interest.


Simple interest is calculated from the formula :

I  = PRT

where I is the interest, P is the principal, R is interest rate per year and t is time in years.

I = 2000 × 3 % x 2

We have to turn 3% to its decimal fraction which is 0.03, so:

I = 2000 × 0.03 × 2

I = 60 ×  2

I = 120

Therefore the interest earned in two years will amount to 120 $


7 0
3 years ago
Compare and contrast expanding and simplifying algebraic expressions with simplifying numeric expressions. For example, compare
larisa [96]
<span>With algebraic expressions, you can’t add and subtract any terms like you can add and subtract numbers. Terms must be like terms in order to combine them. So, you can’t always simplify an algebraic expression by following the order of operations. You have to use the distributive property to rewrite the expression and then combine like terms to simplify. With numeric expressions, you can either simplify inside the parentheses first or use the distributive property first.</span>
4 0
3 years ago
Read 2 more answers
What is the slope of the line that contains the point (13,-2) and (3,-2)
ra1l [238]

The slope of the line that contains the point (13,-2) and (3,-2) is 0

<em><u>Solution:</u></em>

Given that we have to find the slope of the line

The line contains the point (13,-2) and (3,-2)

<em><u>The slope of line is given as:</u></em>

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

Where, "m" is the slope of line

Here given points are (13,-2) and (3,-2)

(x_1, y_1) = (13, -2)\\\\(x_2, y_2) = (3, -2)

<em><u>Substituting the values in formula, we get,</u></em>

m = \frac{-2-(-2)}{3-13}\\\\m = \frac{-2+2}{3-13}\\\\m = 0

Thus the slope of line is 0

3 0
3 years ago
What is pm ⋅ pn equal to?
zimovet [89]

Answer:

p^2 pm pn mn

Step-by-step explanation:

Using the FOIL Method we get this result

p * p

p * n

p * m

m * n

5 0
3 years ago
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