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nikdorinn [45]
3 years ago
13

Need some help with the answer to the question

Mathematics
1 answer:
kicyunya [14]3 years ago
8 0

Answer:

(- 4, 27 )

Step-by-step explanation:

Equate the right sides of both equations, that is

x² - 2x + 3 = - 2x + 19 ← subtract - 2x + 19 from both sides

x² - 16 = 0 ← in standard form

(x - 4)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 4 = 0 ⇒ x = - 4

Substitute these values into f(x) = - 2x + 19

f(4) = - 2(4) + 19 = - 8 + 19 = 11 ⇒ (4, 11 )

f(- 4) = - 2(- 4) + 19 = 8 + 19 = 27 ⇒ (- 4, 27 )

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2 years ago
It says use cofunction but still i didnt understand
torisob [31]

Answer:

-\frac{\pi }{22\\}

Step-by-step explanation:

\frac{5\pi }{11}-pi/2

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3 years ago
Avery wants to put a percentage of muffins in a display case. There are 60 muffins total. 40% are blueberry, 20% are pumpkin, an
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3 years ago
HELP NEEDED!!
LenKa [72]

Answer:

a

Step-by-step explanation:

Given

2| x - 3 | + 5 = 17 ( subtract 5 from both sides )

2| x - 3 | = 12 ( divide both sides by 2 )

| x - 3 | = 6

The absolute value function always returns a positive value but the expression inside can be positive or negative, that is

x - 3 = 6 OR -( x - 3) = 6

x - 3 = 6 ( add 3 to both sides )

x = 9

OR

-( x - 3) = 6 ← distribute left side

- x + 3 = 6 ( subtract 3 from both sides )

- x = 3 ( multiply both sides by - 1 )

x = - 3

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = 9 → 2|9 - 3| + 5 = 2|6| + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True

x = - 3 → 2|- 3 - 3| + 5 = 2| - 6 | + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True

Hence x = 9 or x = - 3 are the solutions → a

6 0
3 years ago
Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 2 inches, and the larger gear has a ra
sleet_krkn [62]

Answer:

Let r represent the radius of the smaller circle and R the radius of the larger circle.

Apply ratios: the radius of smaller circle to radius of larger circle, i.e.

r: R = 3 : 7.

I complete rotation = 360 degrees.

Part 1:

For one complete rotation of the smaller circle, the larger circle is rotated through: (3/7)*(360) = 154.3 degrees

Part 2:

For one complete rotation of the larger circle, the larger circle is rotated through: (7/3)*(360) = 840.0 degrees

This is equivalent to (840/360) = 2.3 rotations

Alternatively, use the ratios:

The number of rotations = R/r = 7/3 = 2.3 rotations  

BRAINLIEST PLEASE??

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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