Answer:
j = 54
Step-by-step explanation:
j/2 - 12 = 15
j/2 = 15 +12
j/2 *2 = 27 * 2
j = 54
If you're kind enough, please mark this as the brainlist answer!
Answer:
Because 3(5x) is the same as 3 *5 * x
Step-by-step explanation:
When a number is next to another in parantheses, it signifies multiplication. In this case, we already have 5 and x grouped together by a multiplication sign, so the entire thing is 5 * x. The statement below is key
Distribution in multiplication is only possible if a variable is grouped to another real number by a plus or minus sign.
So in this case, we have 3 * 5 * x, which is 15x. However, if we had 3(5 + x), we would have 15 (3 * 5) + 3x (3 * x).
Hopefully that makes sense!
Answer:
g(x) = 3x^2 + 3.
Step-by-step explanation:
f(x) = 3x^2 - 5.
First, the x-intercepts have to be calculated to determine the line of symmetry of f(x). For that, set f(x) = 0. Therefore:
3x^2 - 5 = 0.
x^2 = 5/3
x = 1.29 and x = -1.29. The midpoint of these two x-coordinates will be the line of symmetry, which is x = 0.
Therefore, if the graph is translated vertically upwards, it will move up the y-axis by the given amount. In this question, the amount is 8. Simply add 8 in f(x) to obtain g(x). Therefore:
g(x) = f(x) + 8.
g(x) = 3x^2 - 5 + 8.
g(x) = 3x^2 + 3.
Therefore, g(x) = 3x^2 + 3!!!
Answer:
(a) Circle Q is 9.4 units to the center of circle P
(b) Circle Q has a smaller radius
Step-by-step explanation:
Given
Solving (a): The distance between both
The equation of a circle is:
Where
P and Q can be rewritten as:
So, for P:
For Q:
The distance between them is:
Where:
--- 
--- 
So:
Solving (b): The radius;
In (a), we have:
--- circle P
--- circle Q
By comparison
<em>Hence, circle Q has a smaller radius</em>
The factors of the given quadratic expression, 2x² - 4x - 16, are 2, (x +2), and (x -4)
<h3>Factoring a Quadratic expression </h3>
From the question, we are to determine the each of the factors of the given quadratic expression
The given quadratic expression is
2x² - 4x - 16
Factoring
2x² - 4x - 16
First, factor out 2
That is,
2(x² - 2x - 8)
Now, we will factor x² - 2x - 8
x² - 2x - 8
x² - 4x + 2x - 8
x(x - 4) +2(x -4)
(x +2)(x -4)
Thus,
2x² - 4x - 16 = 2(x +2)(x -4)
Hence, the factors of the given quadratic expression, 2x² - 4x - 16, are 2, (x +2), and (x -4)
Learn more on Factoring a quadratic expression here: brainly.com/question/52959
#SPJ1
