Answer:
The answer in interval notation is ( 73 , 100 )
Step-by-step explanation:
If we call x and y the lower and upper values for David to get an average of 80 and 89 respectively, we can calculate these two values solving a pair of equations:
(81 + 92 + 74 + x ) / 4 = 80 ⇒ (247 + x )/4 = 80
247 + x = 320 ⇒ x = 320 - 247
x = 73
And
(81 + 92 + 74 + y ) / 4 = 89 ⇒ ( 247 + y ) / 4 = 89
247 + y = 356
y = 356 - 247
y = 109
But tests are a 100-point test
Then the answer in interval notation is ( 73 , 100 )
Answer:
tax = .45
total cost = 4.95
Step-by-step explanation:
The price before tax is 4.50
The tax rate is 10%
The tax is
4.50 * 10%
4.50 * .10
.45
Add the tax of .45 to the total price
4.50 + .45 = 4.95
Answer:
The sum of the coefficients of the terms in (-1.5·x² + 0.5·x + 4)¹⁶ that have even degree is -4273411167.501
Step-by-step explanation:
The parameters given are;
f(-4) = -22
f(-1) = 2
f(2) = -1
g(x) = f(x)¹⁶
The function f(x) is presented as follows;
f(x) = a·x² + b·x +c
We have;
-22 = a·(-4)² + b·(-4) +c
-22 = a·16 - 4·b +c ..............(1)
2 = a·(-1)² + b·(-1) +c
2 = a - b +c...........................(2)
-1 = a·(2)² + b·(2) +c
-1 = 4·a + 2·b +c...................(3)
Solving the equations (1), (2), and (3) by using an online linear systems solver, we get;
a = -1.5, b = 0.5, c = 4
Therefore, f(x) = -1.5·x² + 0.5·x + 4
f(x)¹⁶ = (-1.5·x² + 0.5·x + 4)¹⁶ which gives the coefficients of the even terms as follows;
656.841 - 19267.331 + 248302.054 - 1772904.419 + 6735603.932 - 2868054.635 - 119602865.901 + 750783340.827 + -2542435585.611 + 5338903756.992 - 6048065910.25 -1031335136 + 17223697920 - 32238338048 + 32107397120 - 17716740096 = -4273411167.501.
Hello.
<span>Reorder the terms:
-6 + y = 4(x + 5)
Reorder the terms:
-6 + y = 4(5 + x)
-6 + y = (5 * 4 + x * 4)
-6 + y = (20 + 4x)
Solving
-6 + y = 20 + 4x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '6' to each side of the equation.
-6 + 6 + y = 20 + 6 + 4x
Combine like terms: -6 + 6 = 0
0 + y = 20 + 6 + 4x
y = 20 + 6 + 4x
Combine like terms: 20 + 6 = 26
y = 26 + 4x
Simplifying
y = 26 + 4x
</span>x-intercept: <span><span>(−<span>132</span>,0)</span><span>(-<span>132</span>,0)</span></span>y-intercept: <span>(0,26<span>)
Have a nice day</span></span>
