1Select the inequality that best matches this statement.
Six more than 5 times a number is at least twenty-one.
A 6x +5 < 21
B 5x + 6 > 21
C 5x + 6 < 21
D 6x + 5 > 21
Answers
Answer:
the answer is C I hope it helps you
Related Questions
Which conjunction or disjunction is equivalent to |t – 7| > 12?A. t – 7 > 12 or t – 7 < –12B. t – 7 < 12 and t – 7 > –12C. t – 7 < 12 or t – 7 > –12D. t – 7 > 12 and t – 7 < –12
Help me PleaseThe boy scouts are selling popcorn for $25 a bag. They have already sold $525 worth and want to make at least $5750. Write an inequality to find the least number of bags of popcorn they need to sell to reach their goal. How many bags is that?
Of the 250 sheep in the flock, 34% are gray. What is the total number of gray sheep in the flock?
Ann entered a race which required a run of 10 km north and a bike of 120 km west. Determine her running speed if she cycled ten times faster than she ran and the total race took her four hours to complete.
B. The inverse of a linear function is always a function.
C. The inverse of a quadratic function is always a function.
D. The inverse of a linear function is not a function.
Answers
Since a parabola (quadratic function) does not pass the horizontal line test, it is not possible for a quadratic equation to will have an inverse that is also a function.
Option B is wrong because the inverse of a linear function is not always a function because when the linear function has slope, the inverse cannot be a function.
Option C is wrong because the inverse of a quadratic function is never a function because a quadratic function does not pass the horizontal line test
Option D is wrong because the inverse of a linear function is a function, provided that the linear function has no slope.
The correct answer is:
A) The inverse of a quadratic function is not a function.
Explanation:
The inverse of a function is a function if and only if each element of the range (y-coordinates) is mapped to one element of the domain (x-coordinates).
Each y must be mapped to one x; this means no y can be repeated. This means if we draw a horizontal line through any part of the graph of an inverse function, it should not hit more than 1 point.
The graph of a quadratic function is a parabola, or a u-shaped graph. If we draw a horizontal line through a parabola, it will hit twice everywhere except the vertex. This means the inverse of a quadratic function is not itself a function.
Using this equation, fill in the following T-table for the years 2000, 2002, 2004, 2006, 2008, and 2010. Use X = 0, 2, 4, 6, 8, and 10 to represent these years (the number of years after 2000). Round your answers to the nearest cent.
Answers
Answer:
Step-by-step explanation:
The equation representing the price of gas for the years after 2000 is expressed as
y = 1.26(1.10)^x
Where x = 0, 2, 4, 6, 8, and 10 represent these years : 2000, 2002, 2004, 2006, 2008, and 2010, the table would be
1) x = 0(2000)
y = 1.26(1.10)^0
y = 1.3
2) x = 2(2002)
y = 1.26(1.10)^2
y = 1.5
3) x = 4(2004)
y = 1.26(1.10)^4
y = 1.8
4) x = 6(2004)
y = 1.26(1.10)^6
y = 2.2
5) x = 8(2006)
y = 1.26(1.10)^8
y = 2.7
6) x = 10(2008)
y = 1.26(1.10)^10
y = 3.3
Answers
3) 1/9
4) 3/4
Answers
Answer:
Step-by-step explanation:
(Tangent Length)^2 = y*(y + 11) You are going to have to use the quadratic formula on this.
Tangent Length = 7
7^2 = y * (y + 11)
49 = y^2 + 11y
0 = y^2 + 11y - 49
a = 1
b = 11
c = - 49
When you solve this quadratic equation you get
x1 = 3.40 which is the answer you go with.
x2 = -14.40 which can't be used. A negative length has no meaning.
Answers
Answer:
The slope is m=6 and length of line is
Step-by-step explanation:
Given : The endpoints of line AB are A(2, 2) and B(3, 8). Line AB is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image line A'B' .
To find : What are the slope (m) and length of line AB?
Solution :
The slope of a line does not change.
Slope formula is,
The slope of AB A(2, 2) and B(3, 8) is :
Distance formula,
The length of AB by distance formula,
Line AB is dilated by a scale factor of 3.5.
The length of A'B' is :
Therefore, The slope is m=6 and length of line is