The solution to the given equation is x = ±7. The correct option is d. x = ±7
<h3>Solving quadratic equations </h3>
From the question, we are to determine the solution to the given equation
The given equation is
x²-49 = 0
NOTE: I assumed the variable is x
Solving the equation
x²-49 = 0
Writing in the form ax²= c
x² = 49
∴ x = ±√49
x = ±7
Hence, the solution to the given equation is x = ±7
Learn more on Solving quadratic equations here: brainly.com/question/24334139
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Answer: 13.5π≈42.41
Step-by-step explanation:
Basically it is asking for the circumference of this cylinder.
#1 Find the circumference of the circle base
Formula to use: 2πr
2πr=2π(1.5)=3π
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#2 Find the area of the circle base
Formula to use: πr²
πr²=π(1.5)²=2.25π
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#3 Find the area of body of the cylinder
Formula to use: lw
300cm=3m
l (length)= 3π (since the body of the cylinder the basing on the circumference of the circle base)
w (width)= 3
lw=3π×3m=9π
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#4 Add all of them together
There are 2 base and one body
2.25π×2+9π=13.5π
Answer:
A negative number would be reasonable in the solution of the rate of the investment. It would be reasonable because Johnny started out with $41,745 in his account and ended up with $39,974 which means that the rate has to be negative.
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Make the question more clear please and i think the stem and leaf plot is incorrect.
Answer:
A. 4
B. 1
Step-by-step explanation:
The degree of a one-variable polynomial is the largest exponent of the variable.
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<h3>A.</h3>
For f(x) = x^4 -3x^2 +2 and g(x) = 2x^4 -6x^2 +2x -1, the sum f(x) +a·g(x) will be ...
(x^4 -3x^2 +2) +a(2x^4 -6x^2 +2x -1)
= (1 +2a)x^4 +(-3-6a)x^2 +2ax -a
The term with the largest exponent is (1 +2a)x^4, which has degree 4. This term will be non-zero for a ≠ -1/2.
The largest possible degree of f+ag is 4.
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<h3>B.</h3>
The polynomial sum is ...
f+bg = (1 +2b)x^4 +(-3-6b)x^2 +2bx -b
When b = -1/2, the first two terms disappear and the sum becomes ...
f+bg = -x +1/2 . . . . . . a polynomial of degree 1
The smallest possible degree of f+bg is 1.
