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Vaselesa [24]
3 years ago
8

Does an equation always have a solution? Could you come up w/ an equation that does not have a solution? If yes, explain why thi

s equation does not have a solution?
Mathematics
2 answers:
Damm [24]3 years ago
8 0
An equation does not always have a solution. Sometimes, an equation can have a variable that does not equal the remaining value on the other side. For example, root negative x could never equal a number squared.
√-x ≠ 14²
This equation cannot have a solution because you can't square any number to get a negative solution. Therefore, x= no solution.
AveGali [126]3 years ago
7 0
No an equation doesn't always have a solution. An example would be 2x+3=2x+7
To solve this you would subtract 2x on each side, which that would give you 3=7 therefore that equation has no solution
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If a sentence is defined recursively by f(0)=3 and f(n+1) = f(n) +5 for n ? 0, then f(2) is A) 2 B) 3 C) 5 D) 8
VladimirAG [237]

The recursive formula f(n+1)=f(n)+5 means that the next term in the sequence is 5 more than the previous one.

So, we know that we start from f(0)=3, which means that the next term is

f(1) = f(0)+5 = 3+5 = 8

Similarly,

f(2) = f(1)+5 = 8+5 = 13

8 0
3 years ago
Write as a multiplication sentence. 5/6 divided by 1 1/2
avanturin [10]

Write as a multiplication sentence.

5/6 divided by 1 1/2

Remember that

1 1/2=1+1/2=3/2

so

\frac{5}{6}\colon\frac{3}{2}=\frac{5}{6}\cdot\frac{2}{3}

7 0
1 year ago
Y=mx+b is used for what math equation
soldier1979 [14.2K]
       y = m x + b is a linear equation. 
      This equation is in the slope - intercept form, where m is the slope and b is y - intercept.
       For example: y = 2 x + 5
       In this equation: m = 2 ( the slope ) and b = 5 ( the line intercepts y-axis at the point ( 0, 5 )  ).
3 0
3 years ago
Read 2 more answers
Using complete sentences, describe how you would check the quotient of two rational expressions. Create and demonstrate your own
Kamila [148]
<span>To check the quotient of a division problem, I would multiply the quotient by the divisor and add the remainder. If the quotient is correct, the result will be the dividend.
example is below
</span><span><span><span><span>x2</span>−x−6/</span><span>x−3</span></span>=<span><span>(x−3)(x+2)/</span><span>x−3</span></span>=x+2</span>
6 0
3 years ago
Line g passes through points (5, 9) and (3, 2). Line h passes through points (9, 10) and (2, 12). Are line g and line h parallel
icang [17]

For this case we find the slopes of each of the lines:

The g line passes through the following points:

(x_ {1}, y_ {1}) :( 3,2)\\(x_ {2}, y_ {2}) :( 5,9)

So, the slope is:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {9-2} {5-3} = \frac {7} {2}

Line h passes through the following points:

(x_ {1}, y_ {1}) :( 9,10)\\(x_ {2}, y_ {2}) :( 2,12)

So, the slope is:

m = \frac {y_ {2} -y_ {1}}{x_ {2} -x_ {1}} = \frac {12-10} {2-9} = \frac {2} {- 7} = - \frac {2} {7}

By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.

It is observed that lines g and h are not parallel. We verify if they are perpendicular:

\frac {7} {2} * - \frac {2} {7} = \frac {-14} {14} = - 1

Thus, the lines are perpendicular.

Answer:

The lines are perpendicular.

8 0
3 years ago
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