Answer:
(-1,-1)
Step-by-step explanation:
x=y
2x+3x=-5
x=-1
y=-1
Answer:
23%
Step-by-step explanation:
If in any year there is a 12% chance that a mutual fund will outperform the market, that is in a mutually exclusive situation where the previous years performance is not considered. In this situation where trying to calculate the probability of a mutual fund outperforming the market 2 years in a row, the answer will be 23% as according to the calculations done by the financial analyst where the probability is calculated in a situation dependent on the previous years performance.
Answer: 144
Step-by-step explanation: The problem shown here can be read as "10 to the 2nd," oe "12 to the 2nd power."
The 12 is called the base and the 2 that is raised up is called the exponent.
The exponent of 2 tells us that we multiply our base 2 times.
So we have 12 · 12 which is 144.
The numbers that we multiply together are called factors so in this problem, we have 2 factors of 12.
Answer:
y = 18 and x = -2
Step-by-step explanation:
y = x^2+bx+c To find the turning point, or vertex, of this parabola, we need to work out the values of the coefficients b and c. We are given two different solutions of the equation. First, (2, 0). Second, (0, -14). So we have a value (-14) for c. We can substitute that into our first equation to find b. We can now plug in our values for b and c into the equation to get its standard form. To find the vertex, we can convert this equation to vertex form by completing the square. Thus, the vertex is (4.5, –6.25). We can confirm the solution graphically Plugging in (2,0) :
y=x2+bx+c
0=(2)^2+b(2)+c
y=4+2b+c
-2b=4+c
b=-2+2c
Plugging in (0,−14) :
y=x2+bx+c
−14=(0)2+b(0)+c
−16=0+b+c
b=16−c
Now that we have two equations isolated for b , we can simply use substitution and solve for c . y=x2+bx+c 16 + 2 = y y = 18 and x = -2
Answer: x=20/3=6.67
Step-by-step explanation:
To solve proportions, the most useful way is to use [cross multiplication], where we not multiply horizontally but as diagonally.
-----------------------------------------------------------------------------
Given
x:10=9:6
Cross Multiply
9·x=6·10
9x=60
Divide 9 on both sides
9x/9=60/9
x=20/3=6.67
Hope this helps!! :)
Please let me know if you have any questions
