2(x^2+5)=60 to 2x^2+10=60
distributive property (a(b+c)=ab+ac)
2x^2+10=60 to 2x^2=50
property of equality or something like thht (a=a and b=b, so a-b=a-b) and also
addative inverse (a+-a=0) (added -10 to both sides)
2x^2=50 to x^2=25
propery of euality and multiplicative inverse (a times 1/a=1) and one produce property (1 times a=a)
x^2=25 to x=+/-5
property of equality and something else
Answer:
3.9x + 0.8y
Step-by-step explanation:
this is your answer
Since the problem is 2x^2-5xy-y^3 we first have to plug in what the x and y stands for, once you do that your problem should look like this:
2(-3)^2- 5(-3)(-2)- (-2)^3
Now take the parentheses away and when you do that your signs change.
2x3^2-5x(-3)x(-2)-(-2)^3
do it again with -5x(-3)x(-2)
2x3^2-30-(-2)^3
now do this with (-2)^3
2x3^2-30-(-8)
Now evaluate the power
3^2 becomes 9
2x9-30-(-8)
then change -(-8) to a positive since two negatives make a positive
2x9-30+8
Now multiply the numbers 2x9
18-30+8
Then do 18-30 which equals -12 then add 8
Now you are left with your answer:
<u>-4</u>
Hope this helps! :3
Answer:
She decreased her running time at a rate of 16.67%
Step-by-step explanation:
In this question, we are asked basically to calculate the percentage decrease in Abby’s running time.
Mathematically, the percentage decrease equals: (new running time - old running time)/old running time * 100%
We input the values and proceed as follows:
Percentage decrease = (10-12)/12 * 100
-2/12 * 100/1 = -1/6 * 100 = -16.67%
Since it’s a decrease, we just simply say that her running time decrease by 16.67%
For this case we have the following conversion:
20 pounds = 9 kilograms
To use the table what we must do is find another relationship that allows us to find the weight in kilograms for 30 pounds.
For example, half the weight in pounds is half the weight in kilograms.
Therefore, the given conversion is:
10 pounds = 4.5 kilograms
So, for 30 pounds, we multiply this last ratio obtained by three on both sides:
30 pounds = 13.5 kilograms
Then, the table is:
Pounds 10 20 30
kilograms
4.5 9 13.5
Answer:
Using the ratio table the dogs weight is:
30 pounds = 13.5 kilograms