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Talja [164]
4 years ago
10

A student worked out the following problem to find

Mathematics
1 answer:
polet [3.4K]4 years ago
7 0
We have that

y=x²<span>+3x-5
</span>y=4x+1

using a graph tool
see the attached figure

the solution are the points
(-2,-7)
(3,13)

<span>the solution obtained by the student
</span>(-2,0)
(3,0)<span>
is incorrect because the values ​​of the coordinate y are incorrect
</span>the values of x are correct
x1=-2
x2=3

<span>with those values ​​of x obtained, the student had to substitute it in any of the two equations to obtain the value of y
</span>so
for x=3
y=4x+1------> 4*(3)+1-----> y=13

for x=-2
y=4x+1------> 4*(-2)+1-----> y=-7

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alexdok [17]
Today is March, 19th 2016
so from 1992 have been: 2016 - 1992 = 24 years
but the date is from October 30th, so we are not at 24 years just yet, we are at 23 years and the months and days since last 30th October, that is:
November + December + January + February = 4 months
and some days more, 19 days because today is 19th, so the total is:
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4 0
3 years ago
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Using the identity sin? O + cos? O = 1, find the value of tan O, to the nearest
Novosadov [1.4K]

Answer:

<u>3.7</u>

Step-by-step explanation:

<u>Given</u>

  • sin²θ + cos²θ = 1
  • sinθ = 0.27

<u>Solving for cos</u>θ

  • cos²θ = 1 - sin²θ
  • cos²θ = 1 - (0.27)²
  • cos²θ = 0.0729

<u>Finding tan</u>θ

  • tanθ = sinθ / cosθ
  • tanθ = 0.27 / 0.0729
  • tanθ = <u>3.7</u>

<u>Verifying it lies in the range</u>

  • θ = tan⁻¹ (3.7)
  • θ = 74.88°
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7 0
2 years ago
Can anyone answer me this question ​
yuradex [85]

Question 1:

For this case we have the following functions:

f (x) = 4x + 1\\g (x) = x ^ 3 + 1

We must findg_ {o} f (0):

By definition we have to:

g_ {o} f = g (f (x))\\f_ {o} g = f (g (x))

g (f (x)) = (4x + 1) ^ 3 + 1

We substitute x = 0:

g (f (0)) = (4 (0) +1) ^ 3 + 1 = 1 ^ 3 + 1 = 2

So, we have that g (f (0)) = 2

Answer:

g (f (0)) = 2

Question 2:

For this case we have the following functions:

f (x) = 4x + 1\\g (x) = x ^ 3 + 1

We must find f_ {o} g (0):

By definition we have to:

f_ {o} g = f (g (x))\\f (g (x)) = 4 (x ^ 3 + 1) + 1 = 4x ^ 3 + 4 + 1 = 4x ^ 3 + 5

We substitute x = 0:

f (g (0)) = 4 (0) ^ 3 + 5 = 5

Answer:

f (g (0)) = 5

Question 3:

For this case we must find the inverse of the following function:

h (x) = \frac {2x + 1} {3}

To do this, we follow the steps below:

We change y for h (x):

y = \frac {2x + 1} {3}

We exchange variables:

x = \frac {2y + 1} {3}

We clear the value of the variable "y":

3x = 2y + 1\\3x-1 = 2y\\y = \frac {3x} {2} - \frac {1} {2}

We change y for h^{ -1} (x):

h ^{ - 1} (x) = \frac {3x} {2} - \frac {1} {2}

Answer:

h ^ {- 1} (x) = \frac {3x} {2} - \frac {1} {2}

3 0
4 years ago
I need help please?!!
Helga [31]

Answer:

8

Step-by-step explanation:

1+5 x 3= 16

16/2 = 8

8

3 0
3 years ago
If you have $17 and you spend $4 on a sandwich, drink, and chips, what fraction of your money did you spend?
max2010maxim [7]
The answer would be 4/17
7 0
3 years ago
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