Answer:
1. (n + 3)(5n + 8)
2. (x - 4)(7x - 4)
3. (k + 8)(7k + 1)
Step-by-step explanation:
1. We have to factorize 5n² + 23n + 24.
Now, 5n² + 23n + 24
= 5n² + 15n + 8n + 24
= 5n (n + 3) + 8 (n + 3)
=(n + 3)(5n + 8) (Answer)
2. We have to factorize 7x² - 32x + 16
Now, 7x² - 32x + 16
= 7x² - 28x - 4x + 16
= 7x (x - 4) - 4 (x - 4)
= (x - 4)(7x - 4) (Answer)
3. We have to factorize 7k² + 57k + 8
Now, 7k² + 57k + 8
= 7k² + 56k + k + 8
= 7k (k + 8) + 1 (k + 8)
= (k + 8)(7k + 1) (Answer)
Answer:
859
Step-by-step explanation:
The demand for Coke products varies inversely as the price of Cole products.
Mathematically:
D α 1/p
Where D = demand, p = price of coke product
D = k/p
Where k = constant of proportionality.
Let us find k.
k = D * p
When Demand, D, is 1250, price, p, is $2.75:
=> k = 1250 * 2.75
k = $3437.5
Now, when price, p, is $4, the demand will be:
D = 3437.5/4
D = 859.375 = 859 (rounding to whole number)
The demand for the product is 859 when the price is $4.
♡Okie Dokie let's simplify Step-By-Step!<span>♡</span>
♡<span>Here is the question you asked us:
</span><span><span><span><span>5y</span>+<span>2y</span></span>+<span>6x</span></span>+<span>2y</span></span>−<span>x
</span><span><span><span><span><span><span>5y</span>+<span>2y</span></span>+<span>6x</span></span>+<span>2y</span></span>+</span>−<span>x
</span></span>♡<span>Combine Like Terms:
</span><span><span><span>5y+2y</span>+6x</span>+2y</span>+<span>−x
</span><span>(<span>6x+−x</span>)</span>+<span>(<span><span>5y+2y</span>+2y</span><span>)
</span></span>
♡Your final answer is:
<span>5x</span>+<span>9y</span>
♡I hope this helps!♡
Answer:
first term = 2 ...(given)
second term = f (2) = f (2-1) * 5 = 1 * 5 = 5. .....[according to the formula f(n) = f (n -1) *5 ]
third term = f (3) = f ( 3 - 1 ) * 5 = 2 * 5 = 10
fourth term = f (4) = f (4 - 1) * 5 = 3 * 5.= 15
fivth term = f (5) = f ( 5 - 1) * 5 = 4* 5. =20
