18 + m/4 = 24
Subtract 18 from each side:
m/4 = 6
Multiply each side by 4 :
<em>m = 24 </em>
Answer:
Step-by-step explanation:
<u>Exponential function is:</u>
<u>Use two points on the graph to determine the value of a and b:</u>
<u>Find the values of a and b:</u>
- f(0) = a*b⁰ = a = 100
- f(1) = a*b¹ = ab = 100b = 50 ⇒ b = 50/100 = 1/2
<u>The function is:</u>
1. 36 = 6·6 and 42 = 6·7 have a common factor of 6.
... x⁴ and x² have a common factor of x²
The GCF is 6x².
The factorization is 36x⁴ -42x² = 6x²(6x² -7)
2. All coefficients are multiples of 4. All variable factors are multiples of x³.
The GCF is 4x³.
The factorization is 4x⁵ -8x⁴ -4x³ = 4x³(x² -2x -1)
3. The GCF of coefficients 6 and 15 is (15 mod 6) = 3, which is also a factor of the other coefficients. The lowest power of m, which is m² is also a factor of the other terms.
The GCF is 3m².
The factorization is 6m⁵ -15m⁴ -21m³ +27m² = 3m²(2m³ -5m² -7m +9)
Answer:
Square=5
Triangle=17
Circle=8
Step-by-step explanation:
s=square, c=circle, t=triangle
What each column tells us:
2t+2c=50
3s+t=32
c+2s+t=35
What each row tells us:
2t+c=42
c+2s=18
t+2s=27
c+s+t=30
Solve for s and t:
We will use 3s+t=32 and t+2s=27 to find s and t.
3s+t=32
t=32-3s
Plug in 32-3s for t and solve for s.
(32-3s)+2s=27
32-s=27
-s=27-32
s=5
Square=5
Plug in 5 for s and solve for t.
t+2(5)=27
t+10=27
t=17
Triangle=17
Use c+s+t=30 to find c:
Plug in 5 for s and 17 for t.
c+5+17=30
c+22=30
c=8
Circle=8
Answer:
X^6
--------
Y^10
Step-by-step explanation:
