Put 34 in place of the z. The problem is basically asking what equation can you do to get -24?
2 + 8 - 34 = -24
Answer:
35
Step-by-step explanation:
Given f(x) = x⁴ – 3x³ + x – 3. What is Limit of f (x) as x approaches negative 2?
=> f(-2) = (-2)⁴-3(-2)³+(-2)-3
= 16+24-2-3
= 35
Answer:
x = -2, y = -4, or (-2, -4).
Step-by-step explanation:
5x + y = -14
5x - 3y = 2
If we look at the first equation, we can see that y can be easily isolated.
5x + y = -14
Subtract 5x from both sides.
y = -5x - 14
Now we have a variable that we can plug into the second equation.
5x - 3y = 2
5x - 3(-5x - 14) = 2
Distribute the -3 across each term in the parentheses.
5x + 15x + 42 = 2
Combine like terms.
20x + 42 = 2
Subtract 42 from both sides.
20x = -40
Divide both sides by 20 to isolate x.
x = -2
Plug in x = -2 back into one of the equations to find y.
y = -5x - 14
y = -5(-2) - 14
Multiply.
y = 10 - 14
Subtract.
y = -4
Our solution is x = -2, y = -4, or (-2, -4).
Check your answer by plugging both values into one of the equations.
5x - 3y = 2
5(-2) - 3(-4) = 2
-10 + 12 = 2
2 = 2
Your answer is correct.
Hope this helps!
Answer:
12 students
Step-by-step explanation:
Given that:
Eighth grade student = 72
Sixth grade student = 84
To group the students into the largest possible equal group with no student left, obtain the greatest common factor of the number of sixth grade and eighth grade student
Factors of 72:
72 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36
84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 81
The greatest factor common in both numbers is 12.
Yes, it's rational.
If the digits after the decimal point terminate, then the number is
-1.3535353 = - 13,535,353/10,000,000
If they don't stop, then let <em>x</em> be the number,
<em>x</em> = -1.353535...
Multiply <em>x</em> by 100 to move the decimal point two positions to the right:
100<em>x</em> = -135.353535...
Subtract <em>x</em> from 100<em>x</em> to eliminate the fractional part, then solve for <em>x</em> :
100<em>x</em> - <em>x</em> = -135.353535... - (-1.353535...)
99<em>x</em> = -135 + 1
99<em>x</em> = -134
<em>x</em> = -134/99
