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alexira [117]
2 years ago
13

Which function is equivalent to g(x) = 9 x2 - 24 x + 16?

Mathematics
1 answer:
GenaCL600 [577]2 years ago
3 0

Answer:

Step-by-step explanation:

discriminant = (-24)²  - 4(9)(16) = 0, so there are two identical roots.

That eliminates choices 2 and 4.

Quadratic formula

x = [24 ± √(24² – 4·9·16)] / [2·9]

 = 24 / 18

 = 4/3

9x² - 24x + 16 = 9(x-4/3)² = (3x-4)²

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Which of the following trigonometric inequalities has no solution over the interval 0 ≤ x ≤ 2pi radians?
valentinak56 [21]

Answer:

A .cos(x)<1

Step-by-step explanation:

According to the first inequality

cos(x)<1

x < arccos 1

x<0

This therefore does not have a solution within the range 0 ≤ x ≤ 2pi

x cannot be leas than 0. According to the range not value, 0≤x which is equivalent to x≥0. Thus means otvis either x = 0 or x> 0.

For the second option

.cos(x/2)<1

x/2< arccos1

x/2<0

x<0

This inequality also has solution within the range 0 ≤ x ≤ 2pi since 0 falls within the range of values.

For the inequality csc(x)<1

1/sin(x) < 1

1< sin(x)

sinx>1

x>arcsin1

x>90°

x>π/2

This inequality also has solution within the range 0 ≤ x ≤ 2pi since π/2 falls within the range of values

For the inequality csc(x/2)<1

1/sin(x/2) < 1

1< sin(x/2)

sin(x/2)> 1

x/2 > arcsin1

X/2 > 90°

x>180°

x>π

This value of x also has a solution within the range.

Therefore option A is the only inequality that does not have a solution with the range.

6 0
3 years ago
Sara owns a paint shop that makes custom paints. To make one gallon of a specialty color, she needs 4 royal blue units that each
jekas [21]
I think the answer is 1.97 hope it helps you
6 0
3 years ago
-1/6 + 4/5 Write your answer in simplest form
Alchen [17]

Answer:19/30

Step-by-step explanation:

1. multiply and divide(left to right)-1/6

=-1/6+4/5

2.multiply and divide(left to right)4/5

=-1/6+4/5

3. add and subtract(left to right)-1/6+4/5=19/30

=19/30

5 0
3 years ago
A wire with a length of 100 cm is cut into three parts. The length of wire of the first and second parts are the same. The lengt
dsp73

The first two pieces are the same, let each of those equal x, so you have x + x = 2x

The 3rd piece is the sum of the first two + 4, so this would be 2x + 4

Now you have 2x + 2x + 4 = 100 cm

Combine like terms:

4x +4 = 100

Subtract 4 from both sides

4x = 96

Divide both sides by 4

X = 24

First piece is 24 cm

Second piece is 24 cm

Third piece is 52 cm

8 0
2 years ago
A stockbroker earns a commission by a flat fee for each transaction as well as a fee per share. On a particular transaction, the
loris [4]
Clearly, alternative B

y = 0.01x + 7.5
y = (0.01)*5000 + 7,5
y = 50 + 7.5
y = 57.50
8 0
3 years ago
Read 2 more answers
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