Answer:
$5 for a dog treat
$3 for a cat treat
Step-by-step explanation:
week 1: 6d + 4c = 42
week 2: 2d + 7c = 31
*used calculator & guessed what each treat costs*
WEEK 1:
6(5) + 4(3) = 42
30 + 12 = 42
42 = 42
WEEK 2:
2(5) + 7(3) = 31
10 + 21 = 31
31 = 31
I won't give you the answer straight up but I will give you the definition of what you need to do.. To change a fraction into an equivalent fraction with a denominator of 100: 1. establish how many times the given denominator fits (divides) into 100 2. multiply both the numerator and the denominator by that number.
2x-3y=-12...im not 100% sure but it makes the most sense to me
For starters, determine what two things are changing, in this case, the question tells you it's the diameter and the year. Next, determine by how much these two are changing. For the year, subtract the most recent year by the oldest year, so 2005-1965=40 years. For the diameter, subtract the diameter of the most recent year by the diameter of the oldest year, so 251-248=3. Now, use the question to get your ratio. The question asks for "diameter of the tree per year," so you would divide the change in diameter by the change in year, so 3/40 inches per year would be your ratio.
Answer:
We should attempt synthetic division to find when
x
3
−
k
x
2
+
2
k
x
−
15
x
−
3
has a remainder of
0
, which would signify that it is a factor of the polynomial.
The synthetic substitution would be set up as:
3
−
∣
∣
∣
1
−
k
2
k
−
15
−−−
−−−
−−−
−−−
−−−
|
0
Treating the synthetic division like any other synthetic division problem, we see that
3
−
∣
∣
∣
1
−
k
2
k
−
15
−−−
−−−
3
−−−−−−−−
−
3
k
+
9
−−−−−−−−
−
3
k
+
27
−−−−−−−−−
1
−
k
+
3
−
k
+
9
|
0
If the remainder equals
0
, then we know that
−
3
k
+
27
+
(
−
15
)
=
0
Solve this to see that
k
=
4
.
Thus,
(
x
−
3
)
is a factor of
x
3
−
4
x
2
+
8
x
−
15
.
