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Andrei [34K]
3 years ago
13

If 4x^2-100=0, the roots are

Mathematics
1 answer:
sukhopar [10]3 years ago
8 0
This is a difference of 2 perfect squares where you can factor x^2-y^2=(x-y)(x+y) so

also if it is equal to zero and you factor, then each factor is assumed set to zero exg
xy=0 then assume x and/or y=0 so


4x^2-100
(2x)^2-(10)^2=(2x-10)(2x+10)=0
so the roots are (2x-10) and (2x+10)
(solution is 5 and -5)
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Without graphing how can i tell if. X + 4y=28 and 2x +8y=56 is inconsistent. Dependent or neither
Vedmedyk [2.9K]
Hello : 
x+4y = 28
multiply by : 2
2x+8y =56 
same line (same graph)
the system is : <span>Dependent
when the solution is : 
x = k  ....  k in R
y = -1/4 x +7</span>
3 0
4 years ago
X cubed plus 2x cubed NEED THIS ASAP
elena55 [62]
X^3+2x^2
hope this helps
5 0
3 years ago
Read 2 more answers
A pair of jeans was 30% off the original price. The sale resulted in a $24 discount.
Natalija [7]

Answer:

Step-by-step explanation:

We must consider the price of the Jeans as whole since it represents the full price of the jeans. The discount might be a limited only offer and does not represent the fullest price of the jeans.

To find the original price of the jeans we have two methods that in the end are going to lead to the same conclusion. The long method is to represent mathematically the information presented. Conceptually, we could interpret the statement saying that the original price minus 30% of the original price is equal to the original price minus the discount. Let us say the Original Price (OP)=x. then, mathematically we represent the statement as:

x -0,3*x = x -24

What we need to do now is to isolate x on one side of the equation. We have x as a common factor, so:

x*(1-0,3)=x-24 \rightarrow 24+x*0,7=x

24=x-0,7*x \rightarrow 24 = x*(1-0,7)

24 = 0,3*x \rightarrow 24/0,3 =x \rightarrow x=80

This one is the original price of the jeans: $80. There is a shortcut to this method, though. We know two things that are fundamental: the discount sale is $24 and the jeans are 30% off. These statements provide the same information; thus we can match them and say that:

24 = 0,3*x \rightarrow 24/0,3 =x \rightarrow x=80

And we find ourselves on the same conclusion.

Have a wonderful day :D

8 0
3 years ago
Directions: Define a variable, set up an inequality,and solve.
Marizza181 [45]
She would have to get 46 questions correct.
7 0
3 years ago
How do you do this question?
attashe74 [19]

Answer:

∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)

Step-by-step explanation:

Start with the Maclaurin series for cos x.

cos x = ∑ₙ₌₀°° (-1)ⁿ x²ⁿ / (2n)!

Substitute ⅓ x².

cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓ x²)²ⁿ / (2n)!

cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓)²ⁿ x⁴ⁿ / (2n)!

cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)

Multiply by 8x.

8x cos (⅓ x²) = ∑ₙ₌₀°° 8x (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)

8x cos (⅓ x²) = ∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)

5 0
3 years ago
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