Multiply. Express your answer in standard form. (x² - 2x + 3)(-2x² + 4x – 1)
Answers
2x^4 + 8x^3 - 15x^2 + 14x - 3
(x² - 2x + 3)(-2x² + 4x – 1) = 2x^4 + 8x^3 - 15x^2 + 14x - 3
Related Questions
Joanne wants to put wallpaper in her daughter's room. Each wall measure 16.8 feet long by 12.9 feet wide. What is the area of one wall in her daughter's bedroom?
What is 50.00 minus 30%?
The ratio of SAMs age to hank is 5 to 3. If the sum of their age is 24. How old is is hank?
There are 6 cakes in a box. The box and cakes weigh 250 grams altogether. The box weighs 22 grams. Each cake weights the same. What does each cake weigh
Thank you in advance!
Answers
Answers
The expression which is irrational is √10. Also, 8/5 is rational. √4 is rational. √64 is rational.
What are rational numbers and irrational numbers?
Rational numbers are numbers that can be written in the form of where a and b are integers.
Example: 1/2, 3.5 (which is writable as 7/5), etc.
Irrational numbers are those real numbers that are not rational numbers.
Know that all natural numbers are integers, and all integers are rational numbers. That means natural numbers are not irrational.
8/5 is rational. It is expressed in the form of .
√4 = 2 = 2/1 . This is rational because it is expressed as the ratio of two integers.
√64 = 8. This is rational because it is expressed as the ratio of two integers.
√10 = 3.16227..... The decimal part does not end and it is irrational because it can not be expressed in the form of .
Therefore √10 is irrational.
Learn more about rational number here;
#SPJ2
√4 = 2 = 2/1 . This is rational because it expressed as ratio of two integers.
√64 = 8. This is rational because it expressed as ratio of two integers.
√10 = 3.16227..... The decimal part does not end and it is irrational because it can not be expressed as ratio of two integers.
Therefore √10 is irrational.
Answers
Answer:
Step-by-step explanation:
Multiply numerator and denominator by
√
7
:
Explanation:
2
√
7
⋅
(
√
7
√
7
)
=
2
√
7
7
.
That is considered "rationalized" since the denominator is now a rational number, 7.
Example: Simplify
2
3
√
12
Simplify the denominator first, then rationalize.
2
3
√
4
√
3
=
2
3
⋅
2
√
3
=
2
6
√
3
and reduce the
2
6
=
1
3
√
3
.
NOW, multiply top and bottom by
√
3
:
1
3
√
3
⋅
(
√
3
√
3
)
=
√
3
3
⋅
3
=
√
3
9
.
Answers
Final answer:
Everett made 3/5 of his shots which is 36 made baskets out of 60 shots. We calculated this by multiplying 3/5 (the fraction of shots he made) by 60 (total number of shots) and simplified it to whole numbers.
Explanation:
The subject matter of this question is fraction multiplication, a fundamental topic in mathematics. To find out how many baskets Everett made, we must use multiplication of fractions and whole numbers. Since Everett made 3/5 of his shots and he shot 60 baskets, we need to multiply these two numbers together.
You would do this calculation: 3/5 * 60. Here's a step-by-step breakdown:
- Temporarily ignore the denominator (5) and multiply the numerator (3) by 60. That's 180.
- Then, divide this number by the denominator: 180 divided by 5. The result is 36.
Therefore, Everett made 36 baskets out of 60 shots.
Learn more about Fraction Multiplication here:
#SPJ11
Answers
11.36 meters = 11.4 meters
13.46 meters = 13.5 meters
11.4 + 13.5 = 24.9 meters
Result: The rope was 24.9 meters long (before Chris cut it) - rounded to the nearest tenth.
-4(s)²+t³÷5
Answers
s=2
t=5
-4(2)^2+(5^3)/5
PEMDAS
exponents first sice parentahsees are already simplified
2^2=4
5^3=125
now we have
-4(4)+125/5
multiplication or division
-4 times 4=-16
125/5=25
nowe we have
-16+26
9
answer is 9
-4(2)^2 + 5^2÷ 5=
-4x4 + 25/5 =
-16 + 5 = -11