Answer:
A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable. One absolute rule is that the first constant "a" cannot be a zero.
Step-by-step explanation:
Answer: A, B, C, and E
Step-by-step explanation:
If both sides are real numbers, then the product will be a real number.
If in at least one of the sides we have a complex number, then the product will be real if:
The other number is zero.
The other number is the conjugate of the first.
This is when:
Suppose we have a number:
z = a + b*i
The conjugate will be:
w = a - b*i
And the product between them is:
(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2
Then the options that will have a real answer are:
A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41
B. (4 + 91)*(41 - 9) = 3040
C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13
E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393
Step-by-step explanation:
15. If f(x) = 20x, adding a $10 fee for cleaning would be
g(x) = 20x + 10
The graph of g(x) is shifted 10 units up from the graph of f(x).
16. f(x) = 2x + 1
g(x) = (2x + 1) + 5
h(x) = 3f(2x + 1)
g(x) shifted f(x) 5 units to the right.
h(x) is 3 times steeper than f(x).
If this is the correct answer, then please give it the brainliest.
Answer:
b
Step-by-step explanation:
because thats the answer
Answer:
3 Pages
Step-by-step explanation:
- Let the pages of economics read = e
- Let the pages of psychology read = p
- Let the total time taken on each instance=t
In the first instance, the student has time to read 50 pages of psychology and 10 pages of economics.
The student could read 30 pages of psychology and 70 pages of economics.
Since the two situations take the same amount of time, we have:
50p+10e=30p+70e
Collect like terms
50p-30p=70e-10e
20p=60e
Divide both sides by 20
p=3e
Therefore, in the time it will take the student to read 1 page of psychology, the student can read 3 pages of economics.
