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Troyanec [42]
3 years ago
12

A rational function g is given below. Find all values of a for which ​g(a)=16. g(x)=(4)/(x+1)+(20)/(x^(2)+2x+1)

Mathematics
1 answer:
aliina [53]3 years ago
3 0

Answer:

a = 2/3

Step-by-step explanation:

(4(x+1) + 20 )/(x+1) = 16

4x + 4 + 20 = 16x + 16

12x = 8

x = 2/3

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A electrician charges $45 per hour and spends $20 a day on gasoline.Write an algebraic expression to represent his earnings for
Sliva [168]
(45 X 24) - 20

hope this helps!
3 0
3 years ago
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Triangle A″B″C″ is formed using the translation (x + 1, y + 1) and the dilation by a scale factor of 3 from the origin. Which eq
FromTheMoon [43]

Answer:

B''C''=3BC

Step-by-step explanation:

we know that

The length of segment B''C'' is equal to the length of segment BC multiplied by the scale factor

step 1

Find the length of segment BC

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have the points

B(1,-3),C(-3,-3)

substitute the values

BC=\sqrt{(-3+3)^{2}+(-3-1)^{2}}

BC=\sqrt{(0)^{2}+(-4)^{2}}

BC=4\ units

The segment B''C'' is equal to the segment BC multiplied by the scale factor

The scale factor is 3

so

B''C''=BC(3)

B''C''=3BC

substitute

B''C''=3(4)=12\ units

4 0
3 years ago
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A large university accepts 60​% of the students who apply. Of the students the university​ accepts, 40​% actually enroll. If 30,
kykrilka [37]

Answer:

7,200

Step-by-step explanation:

Let's start by calculating how many students the university accepts. The problem says they accept 60% of the students. 60% as a decimal is 0.6. To calculate 60% of something, you multiply .60 by whatever quantity. In this case, it would be the students.

Number of accepted students = .6 * 30000 = 18,000

The university accepts 18,000 students.

Now, the next problem is that of those accepted students, we need to find out how many actually enroll. The problem says they accept 40% of the accepted students. Applying the same principle,

Number of enrolled students = .4 * 18000 = 7,200

The number of students that actually enroll is 7,200.

Alternatively, .6 * 30000 * .4 would give you the same result.

Combining the pieces together, we are asking for 60% of 30,000. Then getting 40% of that 60%.

3 0
3 years ago
Help is needed please hurry
denpristay [2]

Step-by-step explanation:

step 1. Where is the original equation? let's assume it is y = x^2

step 2. to shift to the right 3 places replace x with x - 3 and to shift 4 down subtract 4 from the equation

step 3. y = (x - 3)^2 - 4.

4 0
3 years ago
If i make $11.25 plus another $11.25 how much do i make a month?
Liula [17]
You make 22.50
assuming you get two payments of 11.25 a month
3 0
3 years ago
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