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3 years ago

Solve the absolute value equation, if possible. If there is no solution, explain why.

Mathematics

1 answer:

kipiarov [429]3 years ago

7 0

Answer:

the equation | 5x + 10| = -7 has no solution for x ∈ R.

Step-by-step explanation:

Given the absolute value equation

| 5x + 10| = -7

We know that absolute value is always positive.

Reason:

The reason is that the absolute value is the distance from the number 0. Hence, it can not be less than or equal to a negative number.

Conclusion:

Therefore, we conclude that the absolute value of any number would be either 0 or positive as it can not less than or equal to a negative number.

Therefore, the equation | 5x + 10| = -7 has NO SOLUTION for x ∈ R.

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12(3)+3y=60 solve for y

Naily [24]

Answer:y= 8

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

N is the midpoint of AC ; AN = 4x - 7 and NC = 5x - 15<br> Find x=

xz_007 [3.2K]

Answer:

x = 8

Step-by-step explanation:

AN = NC,

4x - 7 = 5x -15,

-7 = x -15,

8 = x

4 0

3 years ago

Which of the algebraic expressions are not linear expressions? Select all that apply. a. 3x - 2 b. -9y c. -7x^2^ + 4x d. -1/2x^2

Sedaia [141]

Answer:

c, d and e

Step-by-step explanation:

A linear expression is an expression in which sum of exponents of variables is at most 1 in each of its terms.

Option a: $3x - 2$

Here, the exponent of the variable is 1.

So, it is a linear expression.

Option b: $-9y$

Here, the exponent of the variable is 1.

So, it is a linear expression.

Option c: $-7x^2 + 4x$

Here, the highest exponent of the variable is 2.

So, it is NOT a linear expression.

Option d: $-\frac{1}{2} x^2$

Here, the exponent of the variable is 2.

So, it is NOT a linear expression.

Option e: $8xy$

Here, sum of exponents of variables is 2.

So, it is NOT a linear expression.

Hence, c, d and e are NOT algebraic expressions.

6 0

3 years ago

HELP ASAP NOW NOW NOW NOW!!! Suppose three riders rode a total of 182 miles.

Sav [38]

Answer:

14 miles

Step-by-step explanation:

Assuming each horse was only ridden once

then a total of 13 horses were ridden for a total of 182 miles

182 miles / 13 horses = 14 miles horse

Of course, if each horse was ridden more than once before being replaced the distance between replacements could be reduced.

Note that the fact that there were 3 riders is irrelevant.

4 0

3 years ago

Which equation is a function of x? x = 5 x = y squared 9 x squared = y x squared = y squared 16

natita [175]

The equation which is a function of x is x²=y.

Given an equation that is a function of x.

A function may be a relation between a collection of inputs and a collection of permissible outputs with the property that every input is said to precisely one output.

If we input a value of x then we get the output f(x) = y, which is the function of x.

We are given four options out of which we are to pick the one which may be a function of 'x'.

The first option is x=5 in which no term of y is included and its a constant. So, option 1 is not correct.

The second option is x=y²+9 in which y contains a power 2. So, option 2 is not correct.

The third option is x²=y in which y contains power 1. So, option 3 is correct.

The fourth option is x²=y²+16 in which y contains a power 2. So, option 3 is not correct.

Hence, the equation which is a function of x is x²=y.

Learn about functions from here brainly.com/question/16614909

#SPJ4

4 0

2 years ago