Answer:
see explanation
Step-by-step explanation:
Given
s(t) = 10t²
To find s(2) and s(5) substitute t = 2 and t = 5 into f(t)
(a)
s(2) = 10 × 2² = 10 × 4 = 40
s(5) = 10 × 5² = 10 × 25 = 250
(b)
s(5) - s(2) = 250 - 40 = 210
This represents the distance travelled in 3 hours
(c)
The average rate of change is measured as

= 
= 
= 70 miles per hour
Answer:
Bola is 8 years old.
Step-by-step explanation:
Let Bola's age be x
Dada's age be y
Ayo's age be z
If the sum of ages of Bola, Dada and Ayo is 32 years, then;
x + y + z = 32
If they share a sum of money in ratio of their ages, then the ratio of their ages will be x : y : z
Also if Bola gets N400, Dada get-N400 and Ayo get N800, then the total amount of money shared will be expressed as:
T = 400 + 400 + 800
T = N1600
Next is to get the age of Bola

Substitute the required variables and values into the formula;

This shows that Bola is 8 years old
Answer:Z=1
Step-by-step explanation: if it is 11z+5, then... minus 9z on each side to get 2z+5=7. Minus 5 on each side to get 2z=2. Divide bboth sides by two to get 1z=1.
Answer:
The scale factor is

Step-by-step explanation:
Line segmentAB has vertices A(−3, 4) and B(1, −2) .
A dilation, centered at the origin, is applied to AB. The image has vertices
A'(-1,4/3) and B′(1/3, −2/3) .
We know the rule for dilation by scale factor of k, is

This means that;

But we know, A' has coordinates (-1,4/3)
This means that


We could also compare:
4k=4/3
Which gives
k=⅓
Answer:
<em>(a). - 1 ; (b). y = - x + 11</em>
Step-by-step explanation:
(1, 10)
(6, 5)
<em>(a).</em> <em>m</em> =
=
= <em>- 1</em>
<em>(b).</em> y - 5 = - 1(x - 6)
<em>y = - x + 11</em>