Our first step should be to find the total distance Christina's frog has jumped. To do this, we need to add 1.22 m + .89 m, giving us a total of 2.11 m.
Our next step should be to find out how much farther Jenny's frog jumped than Christina's frog. To do this, we need to subtract the distance Christina's frog jumped from the distance Jenny's frog jumped. This should look like 2.34 (Jenny's frog) - 2.11 (Christina's frog), which should equal .23 m, so your answer should be D) 0.23 meters!
Answer:
1. y=4x-5 2. y=5x+3 3. y=-2x-8 4. 2/3x+2 5. y=-3/4x-2 6. 1/4x+7 7. -3x+2/3 8. 2/3x+10 9. -2x-1/2 10. -3/4x-3
Step-by-step explanation:
the slope always goes in front of the x and then the y-intercept goes after.
Answer:
3
Step-by-step explanation:
3
+
11
⋅
(
8
−
4
)
÷
(
5
+
6
)
−
4
Subtract 4 from 8
.
3
+
11
⋅
4
÷
(
5
+
6
)
−
4
Multiply 11 by 4
.
3
+
44
÷
(
5
+
6
)
−
4
Find the common denominator.
Add 5 and 6
.
3
+
44
÷
11
−
4
Write 3 as a fraction with denominator 1
.
3/
1
+
44
÷
11
−
4
Multiply 3/
1 by 11/
11
.
3/
1
⋅
11
/11
+
44
÷
11
−
4
Multiply 3/
1 and 11
/11
.
3
⋅
11
/11
+
44
÷
11
−
4
Write −
4 as a fraction with denominator 1
.
3
⋅
11
/11
+
44
÷
11
+ −
4
/1
Multiply −
4
/1 by 11
/11
.
3
⋅
11
/11
+
44
÷
11
+
−
4
/1 ⋅
11
/11
Multiply
−
4
/1 and 11
/11
.
3
⋅
11
/11
+
44
÷
11
+ −
4
⋅
11
/11
Combine the numerators over the common denominator.
3
⋅
11
+
44
−
4
⋅
11
/11
Simplify each term.
Multiply 3 by 11
.
33
+
44
−
44
⋅
11/
11
Multiply −
4 by 11
.
33
+
44
−
44
/11
Simplify the expression.
Add 33 and 44
.
77
−
44/
11
Subtract 44 from 77
.
33
/11
Divide 33 by 11
.
3
Answer:
= 4n + 2
Step-by-step explanation:
There is a common difference d between consecutive terms in the sequence, that is
d = 10 - 6 = 14 - 10 = 18 - 14 = 22 - 18 = 4
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 6 and d = 4, thus
= 6 + 4(n - 1) = 6 + 4n - 4 = 4n + 2
Answer:
With the rule: d(n) = d(n-1) x (-5), we have:
d(1) = 8
d(2) = d(1)x(-5) = 8x(-5) =-40
d(3) =d(2)x(-5) = -40x-5 =200
Other way:
d(n) = d(n-1) x (-5) => d(n) = d(1)x(-5)^(n-1)
d(3) = d(1)x5^(3-1) =8x5^2=8x25 =200