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Ivenika [448]
3 years ago
8

Please HELPP!!! Solve the system of equations. y= 2x y= x^2 - 15

Mathematics
1 answer:
Nataly [62]3 years ago
7 0

y=2x\\y=x^2-15\\\\x^2-15=2x\\x^2-2x-15=0\\x^2-5x+3x-15=0\\x(x-5)+3(x-5)=0\\(x+3)(x-5)=0\\x=-3 \vee x=5\\\\y=2\cdot(-3) \vee y=2\cdot5\\y=-6 \vee y=10\\\\(x,y)\in\{(-3,-6),(5,10)\}

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Step-by-step explanation:

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Step-by-step explanation:

8 0
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The basal energy rate is the daily amount of energy (measured in calories) needed by the body at rest to maintain body temperatu
katovenus [111]
Given :
A = <span>70 years old
H = 172 cm
W = 55 kg

so calculate the the basal energy rate B
B = </span><span>655.096 + 9.563W +1.85H - 4.676A
</span><span>where B is the basal energy rate (in calories), W is the weight (in kilograms), H is the height (in centimeters), and A is the age (in years)
substitute the given
B = </span>655.096 + 9.563(55) +1.85(172) - 4.676(70)
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5 0
3 years ago
PLEASE HELP 20+ POINTS!! What is the cosine equation of the function shown?
noname [10]

Answer:   \bold{y=7\ \cos\bigg(x-\dfrac{\pi}{4}\bigg)-4}

<u>Step-by-step explanation:</u>

y = A cos (Bx - C) + D

  • A (amplitude) = max - D
  • B = Period/2π  --->   Period is the distance from max to next max
  • C = B · Phase Shift  ---> Phase shift is distance from y-axis to max
  • D (vertical shift) = (max + min)/2

D = (max + min)/2     =     (3 - 11)/3      =  -4

A = max - D               =     3 - (-4)         = 7

Period = 9π/4 - π/4   =    8π/4            = 2π

B = Period/2π           =    2π/2π          = 1

Phase Shift = π/4 - 0 =     π/4

C = B · Phase Shift    =  1 · π/4            = π/4

Equation:

           y = 7 cos (1·x - π/4) + (-4)

               

8 0
3 years ago
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drek231 [11]

K = F + 459.67

Subtract K on both sides:

0 = F - K + 459.67

Subtract F on both sides:

-F = -K + 459.67

Divide each term by -1 so that the variables are positive:

F = K - 459.67

5 0
3 years ago
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