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uranmaximum [27]
3 years ago
9

If f(x) =2x - 3, find the following 1. f(-2) 2. f(7) 3. f(-4)

Mathematics
1 answer:
AlekseyPX3 years ago
7 0

Answer:

1. f(-2) = -7

2.f(7) = 11

3. f(-4) = -11

Step-by-step explanation:

1. substitute x = -2 in f(x)

The function becomes :

f(-2) = 2×(-2) - 3 = -7

2. substitute x = 7 in f(x)

the function becomes:

f(7)= 2×7 - 3 = 11

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Maria's height while jumping on a a trampoline can be modeled by the equation h=-16t^2+18t+5. Where t=time in seconds and h=heig
Vadim26 [7]

Answer:

10.06 ft

Step-by-step explanation:

Maria's maximum height will occur when her velocity reaches zero (0). This means that she has stopped ascending and is about to begin descent.

The equation for the height reached by Maria on the trampoline is given as:

h=-16t^2+18t+5

To find her maximum height, we first have to find the time it will take her to get to that height and corresponding velocity (zero).

Her velocity can be found by differentiating her height i.e. dh/dt:

v = \frac{dh}{dt} = -32t + 18

Therefore, when v = 0:

0 = -32t+ 18\\\\=> 32t= 18\\\\t = 18 / 32 = 0.5625 secs

It takes her 0.5625 seconds to get to her maximum height.

Therefore, her height at that time (0.5625 seconds) is:

h=-16(0.5625)^2+18(0.5625)+5\\\\h = -16 * (0.3164) + 10.125+5\\\\h = -5.0624 + 15.125\\\\h = 10.06 ft

Therefore, her maximum height is 10.06 ft.

3 0
3 years ago
Find f(x) + g(x) when f(x) = 2x^2 + x and g(x) = 3x + 2
Artyom0805 [142]

Answer:

2x^2 + 4x+2

Step-by-step explanation:

f(x) = 2x^2 + x and g(x) = 3x + 2

f(x) + g(x) =  2x^2 + x + 3x + 2

            Combine like terms

               = 2x^2 + 4x+2

8 0
3 years ago
Read 2 more answers
30 g equals how many dg
Yuri [45]
The answer is 300 decigrams
4 0
3 years ago
PLZZ HELPP FIRST ANSWER THATS CORRECT GETS BRAINLIEST
Aleksandr-060686 [28]
Alright, so the sum of two days is going to equal zero.
The variable here is what Jesse got on the first day. Let's call it "x".
x-6=0
x is the first day's score, -6 is the second day's score, and the total score is zero.
Now, add 6 to both sides.
x-6=0
+6   +6
x=6
Jesse's score for the first day was (+)6.
5 0
3 years ago
How does 1/12 - 5/6 = 9/12 um tring to learn how to add this like ?
tekilochka [14]

Answer:

see below

Step-by-step explanation:

1/12 - 5/6 = -9/12

We need to get a common denominator of 12

1/12 - 5/6*2/2 = -9 /12

1/12 - 10/12 = -9/12

Since the denominators are the same, we can subtract the numerators

1-10 = -9

-9/12 = - 9/12

We can simplify -9/12 by dividing the top and bottom by 3

-9/3 = -3

12 /3 = 4

-9/12 = -3/4

6 0
3 years ago
Read 2 more answers
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