What is the only solution of 2x2 + 8x = x2 – 16
Answers
2 * x^2 + 8 * x = x^2 - 16
2 * x^2 - x^2 + 8 * x + 16 = 0
x^2 + 8 * x + 16 = 0
(x + 4) * (x + 4) = 0
x = - 4
The correct result would be x = - 4.
Answer:
x = -4 is the only solution.
Step-by-step explanation:
The given equation is 2x² + 8x = x² - 16
We can find the value of x by solving the equation.
(2x² + 8x) - x² = (x² - 16) - x²
x² + 8x = - 16
(x² + 8x) + 16 = (-16) + 16
x² + 8x + 16 = 0
(x + 4)² = 0 [ Since a² + b² + 2ab = (a + b)²]
⇒ (x + 4) = 0
x = -4
Therefore, x = -4 is the only solution of the given equation.
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Two bicyclists leave the center of town at the same time. One heads due north and the other heads due west. Later, the two cyclists are exactly 25 mi apart. The cyclist headed north has traveled 5 mi farther than the cyclist going west.How far has the cyclist going west traveled?
How many sixths are there in 11?
Which number is equivalent to 3⁴÷3² This problem comes straight from a standardized test given in New York in 2014.
Answers
Answer: 16
Step-by-step explanation: I divided 11.52 by 0.72
Answers
Answer:
f(x)= 1/4
(4)
x
for x=1→f(1)=
4
1
⋅4
1
=1→(1; 1)
for x=2→f(2)=
4
1
⋅4
2
=
4
1
⋅16=4→(2; 4)
Answer: The graph nr 4.
Other method:
f(x)=\dfrac{1}{4}\cdot4^x=4^{-1}\cdot4^x=4^{x-1}f(x)=
4
1
⋅4
x
=4
−1
⋅4
x
=4
x−1
Used:
\begin{gathered}a^{-1}=\dfrac{1}{a}\\\\a^n\cdot a^m=a^{n\cdot m}\end{gathered}
a
−1
=
a
1
a
n
⋅a
m
=a
n⋅m
Draw the graph of y = 4^x and next shift it 1 unit right.
Answers
Answer:
0.25
Step-by-step explanation:
I'm a genius plus I did this already
Answers
Answer:
The brace is ft ≅ 12.806 ft long
Step-by-step explanation:
The length of the diagonal of a rectangle can be found using this rule
, where
- l is its length
- w is its width
∵ The gate has shaped a rectangle
∵ Its length = 10 ft
∵ Its width = 8 ft
∴ l = 10 and w = 8
∵ The brace is the diagonal
→ By using the rule above
∴
∴ The length of the brace = ≅ 12.806 ft
∴ The brace is ≅12.806 ft long
A. 20t + 1.75; $25.25
B. 1.75t + 20; $25.25
C. 20t + 1.75; $61.75
D. 1.75t + 20; $61.75
Answers
Total cost function for threeticket $61.75 (1.75 + 20t)
Given that;
Cost of each ticket = $20 each
One-time handling fee = $1.75
Find:
Total cost function for three ticket
Computation:
Assume;
Number of ticket = t
So,
Total cost = One-time handling fee + (Number of ticket)(Cost of each ticket)
Total cost = 1.75 + (t)(20)
Total cost = 1.75 + 20t
Number of ticket = 3
So,
Total cost = 1.75 + 20(3)
Total cost = 1.75 + 60
Total cost = $61.75
Learn more:
Answers
Answer:
5 dollars
Step-by-step explanation:
25% × 20
= 25/100 × 20
= 5 dollars
____________
hope this helps!