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tester [92]
3 years ago
10

If f(x) = - 2x +5 and g(x)=x2-1, then f(-3)+g(2) =​

Mathematics
1 answer:
ollegr [7]3 years ago
4 0

Answer:

{ \tt{f(x) =  - 2x + 5}} \\ { \boxed{ \bf{f( - 3) =  - 2( - 3) + 5 = 11}}} \\  \\ { \tt{g(x) =  {x}^{2}  - 1}} \\ { \boxed{ \bf{g(2) =  {2}^{2}  - 1 = 3}}} \\ f( - 3) + g(2) = 11 + 3 \\  = 14

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You are playing tennis with a friend.The path of the tennis ball after you return to a serve can be modeled by the function y=-0
Ivahew [28]
#1) 4.445 ft
#2) yes

Explanation
#1) The maximum height is the y-coordinate of the vertex.  We first find the axis of symmetry, given by x=-b/2a:

x=-0.17/2(-0.005) = -0.17/-0.01 = 17

Plugging this into the equation,
y=-0.005(17²)+0.17(17)+3 = 4.445

#2) Substituting 30 into the equation,
y=-0.005(30²) + 0.17(30) + 3 = 3.6

The ball will 3.6 in the air, so yes, it will clear the 3 ft tall net.
4 0
3 years ago
1/2 = 2m what does m equal
max2010maxim [7]
1/4 time 1/4 equals a half...or you can think about it as 25 plus 25 equals 50, (1/2 of a dollar)


8 0
3 years ago
Needs to be in fraction form and simplified <br><br> 3 4/5 + 4 5/6 =? <br><br> 10 points
LenaWriter [7]

Answer:

259/30 or 8 19/30 depending on what format your teacher wants the answer

Step-by-step explanation:

First we can turn both mixed fractions into improper fractions and to do that we multiply the whole number by the denominator and that add that to the top number.  So for 3 4/5 we would multiply 3 and 5 and than add 4 getting us to 19/5 doing the same to 4 5/6 gets us to 29/6.  Now in order to add fractions we need to get a common denominator.  The least common multiple of 5 and 6 is 30 so we will multiply each fraction by whatever number will give us 30 in the denomiator.  for 19/5 that number is 6 so our new fraction is 114/30 and for 29/6 that number is 5 so our new number is 145/30.  Now we just add the numerators and simplify.  114/30+145/30=259/30

I hope this helps and please don't hesitate to ask if there is anything still unclear!

6 0
3 years ago
Worth 50 points!!! The equation A = r(<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7BC%7D%7B2%7D%20" id="TexFormula1" title=" \f
jasenka [17]
Times both sides by 2
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divide both sides by r
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4 0
3 years ago
Which graph represents y = StartRoot x EndRootWhat is the solution of StartFraction 1 Over c minus 3 EndFraction minus StartFrac
romanna [79]

The equation is undefined for singularity points at 0, 3, then c ≠ 0, c ≠ 3

<h3>What is the graph of the parent function (y)?</h3>

The set of all coordinates (x, y) in the plane that satisfy the equation y = f(x) is the graph of the function. Suppose a  function is only specified for a small set of input values, the graph of the function will only have a small number of points, in which each point's x-coordinate represents an input number and its y-coordinate represents an output number.

From the given information,

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In the second question:

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Multiply by LCM

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Solve c - (c - 3) = 3: True for all c

c ≠ 0, c ≠ 3

Therefore, we can conclude that since the equation is undefined for singularity points at 0, 3, then c ≠ 0, c ≠ 3

Learn more about the graph of a function here:

brainly.com/question/3939432

#SPJ1

5 0
2 years ago
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