Answer:
The equation of the relation ⇒ 
y = 18
Step-by-step explanation:
∵ y ∝ x/z
∴ y = kx/z
∵ y = 18 , x = 15 and z = 5
∴ 18 = 15k/5 ⇒ 18 = 3k
∴ k = 18/3 = 6
∴ y = 6x/z
∵ x = 21 and z = 7
∴ y = (6 × 21)/7 = 18
Answer:
Step-by-step explanation:
The average rate of change of a function f between a and b (a< b) is :
R =[f(b)-f(a)] ÷ (a-b)
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Let R be the average rate of change of this function
f(6) = 2×6^2 - 7×6 = 72-42 = 30
f(2) = 2×2^2 - 7×2 = 8-14 = -6
R = [f(6) - f(2)]÷ (6-2)
R = [30-(-6)] ÷ 4
R = -36/4
R = -9
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The average rate of change of this function is -9
Answer:
$2.39
Step-by-step explanation:
to find the cost of 1 pound , divide the cost of 4 pounds by 4
$9.56 ÷ 4 = $2.39
The correct value of this equation is <u>m = </u><u>24</u>
<h3>Resolution method</h3>
This equation contains a fractional term. We note that the denominator of this equation is the <u>term 4</u>. Therefore, we will multiply the sides by <u>4</u>:
13 = m/4 + 7
13 . 4 = 4(m/4) + 7 . 4
52 = m + 28
Now, let's isolate the variable "as negative" and after the equality - we'll be subtracting the terms:
52 = m + 28
-m = 28 - 58
-m = -24
<u>m = 24</u>
Therefore, the correct value of this equation will be <u>m = 24</u>
Answer:
6 shirts
Step-by-step explanation:
The cost of a shirt and 2 ties is ...
$18.50 +2(7.50) = $33.50
For $205, Frank can buy $205/$33.50 = 6.12 sets of shirt and ties.
Frank can buy 6 shirts (and 12 ties) for an amount less than $205.
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<em>Additional comment</em>
Frank's cost will be $201 for that purchase.
