The value of the product expression is –6p^3 + 8p^2 – 10p
<h3>How to simplify the product?</h3>
The product expression is given as:
2p(–3p2 + 4p – 5)
Rewrite properly as:
2p(–3p^2 + 4p – 5)
Remove the bracket
2p * –3p^2 + 2p * 4p – 2p * 5
Evaluate the products
–6p^3 + 8p^2 – 10p
Hence, the value of the product expression is –6p^3 + 8p^2 – 10p
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Let X be chickens
Let Y be pigs,
then x+y=13
the animals have 2x+4y legs,
so 2x+4y=40
The system of the equations
[X+y=13
[2x+4y=40
Divide the second equation by 2
[x+y=13
[x+2y=20
subtract the first equation from the second one
y=20-13
y-7 pigs
substitute y=7 into the first equation
x+7=13
x=13-7
x=6 chickens
Answer:
a) y = x+1
b) The transformation shifts the graph 1 unit to the left
Step-by-step explanation:
a) Put (x+1) where (x) is in the function definition:
y = f(x+1)
y = x+1
__
b) This transformation has the effect of shifting the graph one unit to the left. Any point (x, f(x)) on the original curve, will now be (x-1, f(x)), shifted one unit to the left.
To figure out this problem break it down into steps.
We know that there are 1 - 25 or 25 cards in total, one card is taken out and not replaced so now there are only 24 cards.
25 - 1 = 24.
Find the probability of getting one number greater than 10, this would be all numbers from 10 - 25, which are 25 - 10 = 15 options to choose that will give you a value greater than 10.
Probability = 15/24 = 5/8.
For 2 cards simply multiply the probability by itself to get 2 cards where the number is greater than 10.
5/8 • 5/8 = 25/64.
The probability of getting 2 cards that are greater than 10, are 25/64.
This is the solution.
Answer:
23.6
Step-by-step explanation:
<u><em>Finding AC:</em></u>
Cos 61 = 
0.48 × 10 = Adjacent
AC = 4.8
<u><em>Now, CB:</em></u>
Cos 29 =
0.87 × 10 = CB
CB = 8.8
<u><em>The perimeter:</em></u>
=> 10+4.8+8.8
=> 23.6
