Answer:
Root at -4 with multiplicity of 2
Root at 2 with multiplicity of 1
Step-by-step explanation:
You don't actually need to factor this, you can just use Vieta's formulas and deduce the answer by looking at the options.
It states that the product of the roots is equal to the constant over the coefficient of the highest degree term; in this case, it is 16/1=16.
If you take the product of the roots of each answer, you get (from top to bottom) 16, 4, -16, and -4, which means that only the first answer is correct.
So it gives you the "= 210" part of it so you just need to figure out how to write "40% of a number is added to the number"
the questions already tells you that "the number" is "x"
so that means "40% of x is added to x"
instead of writing "add" you can replace it with a plus sign "+"
(40% of x) + x
another way to write 40% of x is 0.40x
so your equation is .4x + x = 210
Answer:
134.4 centimeters
Step-by-step explanation:
This question is asking us for a missing leg on the triangle, lets call it x. Using the Pythagorean theorem (a²+b²=c²), we can figure out what value is missing (either a or b, they are interchangeable).
replace the values in the equation.
83²+x²=158²
get rid of the exponents.
6,889+ x² = 24,964.
subtract 6,889 from 24,964.
x²=18,075.
find the square root on both sides of the equation.
x=134.4432966.
I am assuming you want this rounded to the nearest tenth.
134.4 is your answer.
Read more on Brainly.com - brainly.com/question/14113423#readmore
Answer:Equation at the end of step 1
STEP
2
:
4a2 - b2
Simplify ————————
2a - b
Trying to factor as a Difference of Squares:
2.1 Factoring: 4a2 - b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 4 is the square of 2
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (2a + b) • (2a - b)
Canceling Out :
2.2 Cancel out (2a - b) which appears on both sides of the fraction line.
Final result :
2a + b
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
75% families spent $260.00 or less on electricity in August because 3 quartiles are below the point marking the $260.00 mark. Each quartile represents 25% of the data entries and if 3 quartiles are below $260.00, then 25 * 3 = 75% of the families spent $260.00 or less on electricity in August.
