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MA_775_DIABLO [31]
3 years ago
15

1) g(x) = -x - 3 h(x) = x + 5 Find (g + h)(x)

Mathematics
2 answers:
allsm [11]3 years ago
5 0

Answer:

8x

Step-by-step explanation:

((-x-3)+(x+5))(x)

8*x

8x

Assoli18 [71]3 years ago
4 0

Answer:

2

Step-by-step explanation:

this is the sum of the two functions:

(g + h)(x)= -x - 3 + x + 5

(g + h)(x)=2

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Janine babysits for $14.50 per hour. She also works as a dishwasher at her family's restaurant for $9.50 per hour. Her family ne
FrozenT [24]
The system of inequalities are
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) 14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
3) 8 hours babysitting, 7 hours dishwashing
Step-by-step explanation:
The given parameters are;
The amount per hour Janine makes from babysits = $14.50
The amount per hour Janine makes from dishwashing = $9.50
The minimum number of hours Janine can spend dishwashing = 7 hours
The maximum number of hours Janine can spend dishwashing = 10 hours
The maximum number of hours Janine can work each week = 7 hours
The minimum amount she wants to make each week = $140
Let x represent the number of hours Janine spends babysitting and let y represent the number of hours Janine spends dishwashing
1) From the question, we have;
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) Where
14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
Making, y, the subject of the formula of the above inequalities and plotting as functions is given as follows;
y ≥ 140/9.5 - (14.5/9.5)·x
y ≤ 15 - x
3) In order to earn as much money as possible given that the amount Janine earns from babysitting is more than the amount she earns from dishwashing, Janine should spend the least amount of time dishwashing, which is 7 hours, as given, and then spend the remaining 8 hours babysitting to receive $14.5 × 8 + $9.5×7 = $182.5
3 0
3 years ago
A math tutor charges $30 per session each month plus a $5 scheduling fee. If jane pays a total of $215 in May for tutoring devic
wel

Answer:

it should be 6 not 100% sure though

Step-by-step explanation:

6 0
3 years ago
Find the angle θ between u = <7, –2> and v = <–1, 2>.
Dmitry_Shevchenko [17]

The angle between two vectors is:

CosФ = u - v / Magnitude(u) x magnitude(v)

Magnitude of u = SQRT(7^2 + -2^2) = SQRT(49 +4) = SQRT(53)

Magnitude of v = SQRT(-1^2 +2^2) = SQRT(1 +4) = SQRT(5)

u x v = (7 x -1) + (-2 x 2) = -7 + -4 = -11

cosФ = -11 / sqrt(53) x sqrt(5)

cosФ = -11sqrt265) / 265

Ф =cos^-1(-11sqrt265) / 265)

Ф=132.51 degrees.

7 0
3 years ago
Read 2 more answers
What is the definition of exponential decay?
tresset_1 [31]

Answer:

Exponential Decay -

A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.

Step-by-step explanation:

Hope this answered your question ^^

8 0
3 years ago
Read 2 more answers
How do you use words and pictures to show 59 and 95?
nydimaria [60]
Draw a foot ball player with the number 59 on his back , draw him as if he was going to touch down.

And draw a clock with the numbers 95 :00 on it , because there is 95 seconds left on in the quarter.

I really hope that this helped you a lot.  
3 0
3 years ago
Read 2 more answers
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