Which function in vertex form is equivalent to f(x) = x2 + 6x + 3? f(x) = (x + 3)2 + 3
f(x) = (x + 3)2 − 6
f(x) = (x + 6)2 + 3
f(x) = (x + 6)2 − 6
Answers
move the 3 aside and work in parenthasees
f(x)=(x^2+6x)+3
take 1/2 of 6 and square it (6/2=3, 3^2=9)
add 9 and -9 inside
f(x)=(x^2+6x+9-9)+3
factor perfect square
f(x)=((x+3)^2-9)+3
get rid of parenthases
f(x)=(x+3)^2-9+3
f(x)=(x+3)^2-6
2nd choice
Answer:
f(x) = (x+3)2+3
Step-by-step explanation:
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X
(-1,-5)
What is the y-intercept of this graphed line?
PLEASE HELP!!!!!!
Answers
The y-intercept is when a point passes through the y-axis. Hope this helps:)
Final answer:
To find the y-intercept of the given linear function, first, the slope of the function is calculated using the provided points. Then, the slope and one pair of coordinates are substituted into the y = mx + b equation to solve for 'b', which is the y-intercept.
Explanation:
In mathematics, specifically in the context of linear functions, the y-intercept is the point at which the line crosses the y-axis. From the provided points, however, it's not immediately clear what the y-intercept is.
To find the y-intercept, we need to determine the line's equation first. The equation of a line can be represented in the form y = mx + b, where 'm' is the slope of the line and 'b' is the y-intercept. To find the slope, we use the formula (y2 - y1) / (x2 - x1), substituting the given points. After calculating the slope, we can plug one pair of the given coordinates into the equation y = mx + b, and solve for 'b', which gives us the y-intercept.
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Answers
Answer:
$2,279.20
Step-by-step explanation:
(12 * 2590)/100 = 310.80
2590 - 310.0 = 2,279.20
7m+2
-14m+5
-14m+23
Answers
The requried simplified equivalent expression to the given expression is -14m+5. Option C is correct.
What is simplification?
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
= 7/12(24 - 12m) - 1/3(21m + 27)
Simplifying the above expression,
= 14 - 7m - (7m + 9)
= 14 - 9 -7m -7m
= 5 - 14m or -14m + 5
Thus, the requried simplified equivalent expression to the given expression is -14m+5. Option C is correct.
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⁷/₁₂(-12m) + ⁷/₁₂(24) - ¹/₃(21m) - ¹/₃(27)
-7m + 14 - 7m - 9
-7m - 7m + 14 - 9
-14m - 5
Answers
If a = 18 ft, b = 24 ft, and c = 30 ft, what is the total area of the porch? Assume that the wooden part is a right triangle and the concrete part is a square.
A.
186 ft2
B.
102 ft2
C.
1,260 ft2
D.
1,116 ft2
Answers
totl area=trianglearea+squarearea
traignelarea=1/2(base)(height)
squarearea=side^2
we see
a=18
b=24
c=30
c=side of the square
a=base
b=height
so
trianglearea=1/2ab=1/2*18*24=216
squaerarea=side^2=c^2=30^2=900
add
216+900=1116
answer is D, 1116 ft^2
Answers
1 mile ≈ 1,609.34 m
Time of traveling one way:
From Earth to the Moon and back time is: 2 · 1.28 s = 2.56 s