The answer is choice (B).
A standard quadratic written in vertex form is:
y = (x - h)^2 + k, where h and k are the x and y coordinates of the vertex.
So, if h is negative (in this case, -3), then it becomes x + 3.
If k is negative, though, (in this case, -5) then it becomes (x + 3)^2 - 5.
Therefore, the answer is (B).
Answer:
B
Step-by-step explanation:
The value of x will be equal to -21 for the given expression.
Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the fraction 294/x is equivalent to -14. the value of x will be calculated as:-
294/x = -14 (multiply both sides by x)
294 = -14x (divide both sides by -14)
x = 294 / (-14)
x = -21
Therefore, the value of x will be equal to -21 for the given expression.
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Answer:
x = -21
Step-by-step explanation:
Given:
294/x = -14 (multiply both sides by x)
294 = -14x (divide both sides by -14)
x = 294 / (-14)
x = -21
Answer:
x = {120°, 240°}
Step-by-step explanation:
cos x = -1/2 for 0 ≤ x ≤ 360°
That cosine of x = -1/2 tells us two things immediately: 1) the hypotenuse has length 2 and the side adjacent to the angle x is -1. To have a negative adjacent side, angle x must be in either Quadrant II or Quadrant III.
If in Quadrant II, the terminal side of angle x is 30° past 90°, which means that x = 120°. If in Quadrant III, the terminal side of x is 30° short of 270°, which means that x = 240°
Then x = {120°, 240°}
Answer:
He will travel 520 miles in 8 hours.
Step-by-step explanation:
Given : A man drove his car a distance of 260 miles in 4 hours. If continuing at this rate is possible,
To find : he will travel ____ miles in 8 hours.
Solution : We have given
Distance = 260 miles.
Time = 4 hour.
In 4 hour he cover = 260 miles.
In 1 hour he cover = .
In 1 hour he cover = 65 miles .
So, In 8 hour he cover = 65 * 8 = 520 miles.
Therefore, He will travel 520 miles in 8 hours.
Answer:
k<1
Step-by-step explanation:
1. Add 32 to both sides
-16k-32+32>-48+32
2. Simplify
-16k>-16
3. Reverse the sign (You only reverse the sign if you are DIVIDING BY a negative.)
-16k/-16 = k
-16/-16 = 1
You're left with k < 1
Your number line graph should be an open circle at 1 going to the left.