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ivanzaharov [21]
2 years ago
13

Drag the tiles to the correct boxes to complete the pairs.

Mathematics
1 answer:
expeople1 [14]2 years ago
8 0

Matching each word problem to the equation that models it :

  • The sum of the squares of two positive integers is 394. if one integer is less than the other and the larger integer is x, find the integers. is modelled by : 2x^{2} - 4x - 390 = 0
  • The sum of a positive integer x, and its inverse is \frac{4}{3}. Find the integer models = 3x^{2} - 4x + 3 = 0
  • The numerator of a fraction is 5 more than its denominator, if 3 is added to both the numerator and denominator, the fraction reduces to  \frac{4}{3}. Find the original fraction if x is its denominator models                 3x + 24 = 4x + 12

<h3>Meaning of word problem</h3>

A word problem is a problem that is written in english format. the student is left with a task to unravel and transform it to a mathemtical equation.

in conclusion, the word problem has been matched to their individual equation they model.

Learn more about word problem : brainly.com/question/13818690

#SPJ1

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A wheel turns through 90 revolutions per minute how many degrees does it turn through in 1 second
suter [353]

Answer:

540°

Step-by-step explanation:

90 revolutions = 360°×90 = 32400°

32400° in 60 sec or 1 min

so, in 1 sec 32400/60 = 540°

7 0
3 years ago
Read 2 more answers
a family has two cars. the first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of
Kryger [21]
Let the number of gallons consumed be the first car be x, and that of the second car, y. Then:
x + y = 50 . . . . . . . (1)
20x + 15y = 850. . . (2)

(1) x 20 => 20x + 20y = 1000 . . . (3)
(2) - (3) => -5y = -150 => y = -150/-5 = 30

From (1), x + 30 = 50 => x = 50 - 30 = 20

Therefore, first car consumed 20 gallons and the second consumed 30 gallons.
3 0
3 years ago
How do you solve the equation 2cos^2 - cosx = 0 for all solutions?
exis [7]

Answer:

<em>π/2 and π/3</em>

Step-by-step explanation:

Given the equation 2cos²x - cosx = 0, to find the solution to the equation, we will follow the following step.

let P = cosx

The equation becomes 2P²-P = 0

P(2P-1) = 0

P = 0 and 2P-1 = 0

P= 0 and P = 1/2

Since P = cosx

cosx = 0 and cos(x) =  1/2

If cos(x) = 0

x = cos⁻¹0

x = 90⁰

x = π/2

If cos(x) = 1/2

x = cos⁻¹1/2

x = 60⁰

x = π/3

<em>Hence the solutions to the equation are π/2 and π/3.</em>

7 0
3 years ago
What are the domain restrictions of the expression g2−7g+10g3−6g2+8g ? Select each correct answer.
Sauron [17]

Answer with Step-by-step explanation:

We are given that an expression

f(g)=\frac{g^2-7g+10}{g^3-6g^2+8g}

We have to find domain restriction of the given function.

f(g)=\frac{(g-5)(g-2)}{g(g-4)(g-2)}

Domain restriction means : It is that value of x when substitute in function then  function will  not defined.

It means it is that values which makes denominator zero.

From given function we can see that

When substitute g=0 then it makes denominator zero.

Hence, the function is not defined at g=0

Substitute g=4

Then, it makes denominator zero.

Hence, function is not defined  at g=4

Substitute g=2

Then,it  makes denominator zero.

Hence, function is not defined  at g=2

Therefore, the function is defined for all values of g except g=0, g=2 and g=4

5 0
3 years ago
Algebra 2! 25 points!! pls help!
IgorC [24]

Answer:

2x(x+1)(x-1)(x+3)(x-3)

Step-by-step explanation:

4 0
2 years ago
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