At tennis practice, Tim practices his backhand and his serve at least 2 hours each day. He works less on his backhand than his serve and practices his serve more than 1/2 hour daily.
Which system of inequalities represents Tim’s daily tennis practice if x represents the number of hours spent practicing his backhand and y represents the number of hours practicing his serve?
The images below are the possible answers,
Answers
x+y≥2
He practices his backhand(x) LESS THAN(<) his serves(y)
x<y
He practices his serves(y) MORE THAN(>) .5 hours
y>.5
Answer:
[tex]\left\{\begin{matrix}x+y\geq 2\\ x< y\\ y> \frac{1}{2}\end{matrix}\right.[/tex]
Step-by-step explanation:
Let x represents the number of hours spent practicing his backhand
Let y represents the number of hours practicing his serve.
Since we are given that Tim practices his backhand and his serve at least 2 hours each day i.e. he practices his backhand and serves for two hours or more than two hours
⇒ x+y≥2 --(a)
We are also given that He works less on his backhand than his serve
⇒x < y --(b)
And we are also given that he practices his serve more than 1/2 hour daily.
⇒ y > 1/2 --(c)
Thus the inequalities are :
[tex]\left\{\begin{matrix}x+y\geq 2\\ x< y\\ y> \frac{1}{2}\end{matrix}\right.[/tex]
Thus the Option C is correct .
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What set of transformations is performed on LMNO to form L'M'N'O'?
A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left
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A translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin
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Answer:
Its b and can you give me the brainlist
Step-by-step explanation:
simplify
(-6i)(-7-6i)-(7i)(3-2i)
Answers
(-6i)(-7-6i) becomes 42i + 36i^2, or 42i -36
-(7i)(3-2i) becomes -[21i - 14i^2], or -[21i + 14]
Combine these two products.
42i-21i -36 -14
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Factor the expression:
30x^3-5x^2-18x+3
PLZ SHOW YOUR WORK
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30x^3 -5x^2 turns into 5x^2(6x-1)
-18x+3 turns into -3(6x-1)
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whats the chance to not get 33% chance 3 times in a row
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Which temperature conversion is correct? °c = k - 273 k = 273 x °c k = °c - 273 °c = k + 273?
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Answer: The formula to convert kelvin to degree celsius is:
°C=K-273
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What shape has 4 congruent sides but is not a square?
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how can i turn 7/2 into a decimal
Answers
half of 6 is 3 as you need 2 lots of 3 to make six
half of 1 is 0.5 as you need 2 lots of 0.5 to make 1
therefore 3 + 0.5 is 3.5.
you need 2 lots of 3.5 to make 7
[tex] \frac{7}{2} \cdot \frac{5}{5} = \frac{35}{10} [/tex]
Or, as a mixed number:
[tex]3 \frac{5}{10} [/tex]
If you're familiar with how to read decimal values, "3 and 5 tenths" can be written in decimal form as 3.5.
An urn contains six chips, numbered 1 through 6. two are chosen at random and their numbers are added together. what is the probability that the resulting sum is equal to 5?
Answers
Final answer:
The probability of drawing two chips from an urn numbered 1 through 6 such that their sum is 5 is 4/15, since there are four favourable outcomes (1,4), (2,3), (3,2), and (4,1) out of the total 15 possible combinations.
Explanation:
The question involves calculating the probability of drawing two chips from an urn, each numbered 1 through 6, such that their sum equals 5. To solve the problem, let's consider all possible combinations of two different chips that can be drawn at random:
(1, 4)(2, 3)(3, 2)(4, 1)There are 4 favourable combinations that result in a sum of 5. As each chip can be drawn only once, the total number of pairs can be given by the combination formula C(n, k) = n! / (k!(n-k)!)), where n is the total number of chips and k is the number of chips drawn. In this case, C(6, 2) = 6! / (2!4!) = 15, and so there are 15 possible pairs that can be drawn from our urn.
Therefore, the probability of getting a sum of 5 is the number of favourable outcomes divided by the total number of outcomes, which is 4 favourable combinations divided by 15 possible combinations, resulting in a probability of 4/15.
Write an equation that represents a vertical translation 7 units down of the graph of g(x)=|x|
Answers
Translation involves changing the position of a function.
The equation that represents the new function is: [tex]\mathbf{g'(x) = |x| - 7}[/tex]
The parent function is given as:
[tex]\mathbf{g(x) = |x|}[/tex]
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Where: h is the number of units translated down
i.e. h = 7
So, we have:
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Substitute [tex]\mathbf{g(x) = |x|}[/tex]
[tex]\mathbf{g'(x) = |x| - h}[/tex]
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[tex]\mathbf{g'(x) = |x| - 7}[/tex]
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A vertical translation can be represented by adding or subtracting a constant to the function. In this case, since we are translating the graph downward by 7 units, we subtract 7 from the original function:
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This results in each point on the graph of g(x) = |x| shifting 7 units downward, creating the new graph of g(x) = |x| - 7.
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Answers
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The geometric formula for the radius of a circle to its area will be;
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Where, A is area of circle , r is radius of circle.
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Circle is a closed two dimensional figure in which the set of all points in the plane is equidistance from the center of circle.
Let radius of a circle = r
And, Area of a circle = A
Then, The geometric formula for the radius of a circle to its area will be;
A = πr²
Thus, The geometric formula for the radius of a circle to its area will be;
A = πr²
Where, A is area of circle , r is radius of circle.
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Answers
a = 18
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28 children need pencils
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Answers
Answer:
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Step-by-step explanation:
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Answers
[tex]f(x) = \frac{x}{x+6} [/tex]
Answers:
[tex]f(a) = \frac{a}{a+6} [/tex]
[tex]f(a+h) = \frac{a+h}{a+h+6} [/tex]
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Answers
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(1) The given angle does not provide information about the lengths of the sides, so it is not sufficient to find the area.
(2) The perimeter of the trapezoid does not directly give information about the lengths of the sides, so it is also not sufficient to find the area.
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branliest offered
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Thus the nearest integer is 9
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Answers
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Answers
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answer
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Answers
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Answers
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(12.5+13+13)/3
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Answers
[tex]\bf \cfrac{|3v-1|}{5}\ge 4\implies |3v-1|\ge 20\implies \begin{cases} +(3v-1)\ge 20\\ -(3v-1)\ge 20 \end{cases}\\\\ -------------------------------\\\\ +(3v-1)\ge 20\implies 3v-1\ge 20\implies 3v\ge 21\implies v\ge \cfrac{21}{3} \\\\\\ \boxed{v\ge 7}\\\\ -------------------------------\\\\[/tex]
[tex]\bf -(3v-1)\ge 20\implies -3v+1\ge 20\implies -3v\ge 19 \\\\\\ \stackrel{\textit{negative division, the sign changes}}{v\le \cfrac{19}{-3}}\implies \boxed{v\le -\cfrac{19}{3}}\\\\ -------------------------------\\\\ 7\le v\le -\cfrac{19}{3}[/tex]