Answer:
Find in Step by Step
Step-by-step explanation:
x-intercept = 26/-4 = 13/-2 = -6.50000
y-intercept = 26/1 = 26.00000
Slope = 8.000/2.000 = 4.000
Equation at the end of step 1 :
(y - 6) - 4 • (x + 5) = 0
Step 2 :
Equation at the end of step 2 :
y - 4x - 26 = 0
Step 3 :
Equation of a Straight Line
3.1 Solve y-4x-26 = 0
Answer:
Part A : y²(x + 2)(x + 4)
Part B: (x + 4) (x + 4)
Part C: (x + 4) (x - 4)
Step-by-step explanation:
Part A: Factor x²y²+ 6xy²+ 8y²
x²y²+ 6xy²+ 8y²
y² is very common across the quadratic equation , hence
= y² (x² + 6x + 8)
= (y²) (x² + 6x + 8)
= (y²) (x² + 2x +4x + 8)
= (y²) (x² + 2x)+(4x + 8)
= (y²) (x(x + 2)+ 4(x + 2))
= y²(x+2)(x+4)
Part B: Factor x² + 8x + 16
x² + 8x + 16
= x² + 4x + 4x + 16
= (x² + 4x) + (4x + 16)
= x( x + 4) + 4(x + 4)
= (x + 4) (x + 4)
Part C: Factor x² − 16
= x² − 16
= x² + 0x − 16
= x² + 4x - 4x - 16
= (x² + 4x) - (4x - 16)
= x (x + 4) - 4(x + 4)
= (x + 4) (x - 4)
This is what i did to get the answer.
225/ 4.5 = 50 seconds to finish the slushy.
Answer:
<h3>$4,789.99</h3>
Step-by-step explanation:
Using the formula for calculating the compound interest
A = P(1+r)^t
P is the principal = $3500
r is the rate = 4% = 0.04
T is the time = 8 years
Substitute
A = 3500(1+0.04)^8
A = 3500(1.04)^8
A = 3500(1.3686)
A = 4,789.99
Hence the resulting balance is $4,789.99
Answer:
<em>T5 = 512</em>
Step-by-step explanation:
Given the sequence
2,8, 32, 128,...
The sequence is a geometric progression
nth term of a geometric progression is expressed as:
Tn = ar^n-1
a is the first term = 2
n is the number of terms = 5 (next term is the 5th term)
r is the common ratio = 8/2 = 32/8 = 4
Substitute and get the fifth term
T5 = 2(4)^5-1
T5 = 2(4)^4
T5 = 2*256
<em>T5 = 512</em>
<em>Hence the next term is 512</em>
