Answer:
x=-2
Step-by-step explanation:
Answer:
5x^4 -37x^3 -6x^2 +41x -6
Step-by-step explanation:
We simplify this expression by removing parentheses and combining like terms. Parentheses are removed using the distributive property.
<h3>Form the product</h3>
The product of the final pair of polynomials in parentheses is ...
(-4x^3 +5x -1)(2x -7) = (-4x^3 +5x -1)(2x) +(-4x^3 +5x -1)(-7)
= -8x^4 +10x^2 -2x +28x^3 -35x +7
= -8x^4 +28x^3 +10x^2 -37x +7
<h3>Combine with remaining sums</h3>
= (5x^4 -9x^3 +7x -1) + (-8x^4 +4x^2 -3x +2) - (-8x^4 +28x^3 +10x^2 -37x +7)
= (5 -8 -(-8))x^4 +(-9 -28)x^3 +(4 -10)x^2 +(7 -3 -(-37))x +(-1 +2 -7)
= 5x^4 -37x^3 -6x^2 +41x -6
Answer:
6 packages B
7 packages A
Step-by-step explanation:
let the number of packages A be a and the number of packages B be b
Total number of packages is 13;
Thus;
a + b = 13 •••••(i)
Total package a cost is 18(a) = 18a
Total package b cost is 22(b) = 22b
Total of both is 258
18a + 22b = 258 •••••••(ii)
From i, a = 13-b
Put this in equation ii
18(13-b) + 22b = 258
234-18b + 22b = 258
4b = 258-234
4b = 24
b = 24/4 = 6
since;
a + b = 13
a + 6 = 13
a = 13-6
a = 7
The general equation use to calculate increasing or decreasing values
P(t) = A(1 + r)^t
where:
P = New value
A = original or starting amount
r = rate (can be either increasing(+) or decreasing(-))
t = time period that increase/decrease take place.
So after 1 year at 3.8% interest
P = 7500(1 + 0.038)^1
P = 7500(1.038)
P = 7,785
Then after 1 year at 5.35 interest
P = 7500(1 + 0.053)^1
P = 7500(1.054)
P = 7,897.50
