Answer:
m=243/4 when v=9.
Step-by-step explanation:
We know that when y varies directly with x², the formula of direct proportion is
where 'k' is the constant of variation.
so
As m varies directly with v², and m=3 when v=2
m=kv²
k=m/v²
= 3/(2)²
=3/4
Hence, k=3/4
so when v=9 then the expression becomes
m=kv²
substituting v=9 and k=3/4
m= 3/4(9)²
=3/4 × 81
=243/4
Therefore, m=243/4 when v=9.
Answer:
Step-by-step explanation:
Can you label like which one is which please.
Let the number of weeks to have same amount = x Then:-
1200 + 40x = 700 + 50x
1200 - 700 = 50x - 40x
10x = 500
x = 50
answer is 50 weeks
Answer:
0.375 feet.
Step-by-step explanation:
Multiply .25 by 1.5 to get 0.375.
Combining the like terms, the simplified polynomials are given as follows:
a) 4x² - 14x + 17
b) -5x² - 20x + 8
<h3>How are polynomials simplified?</h3>
Polynomials are simplified combining the like terms, that is, adding these numbers with the same variable.
Item a:
4(x - 2)(x + 1) - 5(2x - 5)
Applying the distributive property:
4(x² - x - 2) - 10x + 25
4x² - 4x - 8 - 10x + 25
Combining the like terms:
4x² - 4x - 10x - 8 + 25
4x² - 14x + 17
Item b:
-5(x + 2)² + 28
-5(x² + 4x + 4) + 28
-5x² - 20x - 20 + 28
-5x² - 20x + 8
More can be learned about the simplification of polynomials at brainly.com/question/24450834
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