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ivanzaharov [21]
3 years ago
5

Given F(x) = 2x - 1; G(x) = 3x + 2; and H(x) = x 2, find the function F(x) + G(x) + H(x).

Mathematics
1 answer:
valentina_108 [34]3 years ago
7 0

Answer:

if H(x) is x²

Step-by-step explanation:

3x + 2 + 2x - 1 +  {x}^{2}  =  \\   3x + 2x = 5x \\  {x}^{2}  + 5x - 1

im not sure exactly hehe

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If -2 is added to a number and the sum is doubled, the result is -15 less than the number.
VMariaS [17]

The required number is 19 given that -2 is added to a number, the sum is doubled and the result is -15 less than the number. This can be obtained by assuming the number as x, converting the given conditions to algebraic expression, forming algebraic equation and solving for x.

<h3>Find the required number:</h3>

Here in the question it is given that,

  • -2 is added to a number
  • The sum is doubled
  • The result is -15 less than the number

We have to find the required number.

Let the required number be x.

⇒ -2 is added to the number ⇒ -2 + x

⇒ the sum is doubled ⇒ 2(-2 + x)

⇒ the result is -15 less than the number ⇒ 2(-2 + x) = x -(-15)

2(-2 + x) = x + 15

⇒ - 4 + 2x = x + 15

⇒ x = 19

Hence the required number is 19 given that -2 is added to a number, the sum is doubled and the result is -15 less than the number.

Learn more about algebraic expression and equation here:

brainly.com/question/953809

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6 0
2 years ago
Suppose the teacher begins recording on a digital camera with an hour available. Show that there is enough time to record everyo
kogti [31]
22. Suppose that the teacher started recording on a digital camera with an hour available. She gives 15 minutes introduction. Thus 60 minutes – 15 minutes is 45 minutes. She still have 45 minutes remaining, now the question is how many minutes will remain if she uses 1 minutes per students. Since the number of students is not given. It depends on how many students will be there. For example 25 students thus that’s equals to 25 minutes also. So she has a 20 minutes remaining.,
5 0
3 years ago
A circle is centered at (2, -5) and has radius 3. Write its equation in standard form. A) (x + 2)2 + (y - 5)2 = 3 B) (x - 2)2 +
ki77a [65]
D.
(x - h)^{2}  +  {(y - k)}^{2}  = r^{2}
Where (h, k) is the center of the circle and the radius is squared.
4 0
3 years ago
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Prove that :
Dimas [21]

Answer:

<h3>Question 1</h3>
  • sec²θ + cosec²θ =
  • 1/cos²θ + 1/sin²θ =
  • (sin²θ + cos²θ)/(sin²θcos²θ) =
  • 1 / (sin²θcos²θ) =
  • [(sin²θ + cos²θ)/sinθcosθ]² =
  • (sinθ/cosθ + cosθ/sinθ)² =
  • (tanθ + cotθ)²
<h3>Question 2</h3>
  • (1 - tan²θ) / (1 + tan²θ) =
  • (1 - sin²θ/cos²θ) / (1 + sin²θ/cos²θ) =
  • (cos²θ - sin²θ) / (cos²θ + sin²θ) =
  • (cosθ + sinθ)(cosθ - sinθ) / 1 =
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<h3>Question 3</h3>
  • sinθ/ (1 - cotθ) + cosθ / (1 - tanθ) =
  • sinθ / (1 - cosθ/sinθ) + cosθ / (1 - sinθ/cosθ) =
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  • sin²θ/ (sinθ - cosθ) + cos²θ/(cosθ - sinθ) =
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6 0
3 years ago
Read 2 more answers
Bob can type 2 letters in 4 hours while bill can do it in six. How many hours will it take them, working together, to type six l
Mnenie [13.5K]

Answer:

7hr 12 min

Step-by-step explanation:

Given that

Bob  can type 2 letters in 4 hours

while on the other hand bill can do it in six hours

We need to find out the no of hours in which they type 6 hours

So,

Bob's rate is

= 2 ÷ 4

= 1 ÷ 2 letter per hour

And,  

Bill's rate is

= 2 ÷ 6

= 1 ÷ 3 letter per hour

Now

Together rate is

= 1 ÷ 2 + 1 ÷ 3 = 5 ÷ 6 letter per hour

We know that

rate × hours = production

Let us assume the hours be x

So,  

(5 ÷ 6)x = 6

x = (6 ÷ 5) × 6

x = 36 ÷ 5

= 7 1 ÷ 5

= 7hr 12 min

8 0
3 years ago
Read 2 more answers
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