How to solve:
Step 1 : Note down the given ratio from the questions.
Step 2 : <span>Find the greatest common factor, and divide the numerator and denominator by that value.
Answer: 3:7</span>
Number of points Jill scored in the first 4 games = 4 * 4 = 16
number of points Jill scored in the first 4 games = 6 * 9 = 54
total points Jill scored in 10 games 16 + 54 = 70
the average number of points after 10 games = 70 / 10 = 7 points
Answer:
The correct option is;
D. x = -1.38 and 0.82
Please find attached the combined function chart
Step-by-step explanation:
The given equation is x³ + 3 = -x⁴ + 4
Plotting the equation using Excel, we have;
f(x) = x³ + 3, h(x) = -x⁴ + 4
x f(x) h(x)
-1.4 0.256 0.1584
-1.39 0.314381 0.26699
-1.38 0.371928 0.373261
-1.37 0.428647 0.477246
-1.36 0.484544 0.57898
Which shows an intersection at the point around -1.38
x f(x) h(x)
0.77 3.456533 3.64847
0.78 3.474552 3.629849
0.79 3.493039 3.610499
0.8 3.512 3.5904
0.81 3.531441 3.569533
0.82 3.551368 3.547878
0.83 3.571787 3.525417
Which shows the intersection point around 0.82
Therefore, the correct option is x = -1.38 and 0.82
From the graphing calculator the intersection point is given as
x = -1.3802775691 and 0.81917251339.
Answer:
Perpendicular(p)=21
base(b)=20
hypotenuse(h)=29
Step-by-step explanation:
Now by using the formula:
cos A=b/h
i.e 20 by 29
Given :
James puts $3,500 into a savings account that earns 2.5% simple interest.
He does not touch that account for 3 years.
To Find :
The new balance of the account be after 3 years.
Solution :
Interest on $3500 after 3 years is :

So, new balance of the account after 3 years is $( 3500+262.5 ) = $3762.5 .
Hence, this is the required solution.