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Otrada [13]
3 years ago
9

Find the value of f(3) for each of the following:

Mathematics
1 answer:
alexgriva [62]3 years ago
8 0

Answer:

Step-by-step explanation:

1) f(x) = 7 - 8x²

f(3) = 7 - 8*3²

     = 7 - 8*9

     = 7 - 72

f(3) = -65

2) f(a) = -5(a-2)

f(3) = -5(3 -2) = -5 * 1 = -5

3)f(h) =\dfrac{-h}{72}\\\\\\f(3)=\dfrac{-3}{72}=\dfrac{-1}{24}

4) f(m) = m(m +4)

f(3) = 3*(3+4) = 3 * 7 = 21

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What is the area of a sector with a central angle of 2π7 radians and a diameter of 40.6 mm?
Gennadij [26K]

Answer:

184.85 square mm

Step-by-step explanation:

The area of a sector of a circle is \frac{1}{2} r^{2} \theta, where r is the radius and \theta is the angle in radians subtended by the arc at the centre of the circle.

Since, diameter = 40.6 mm

So, radius(r)=20.3 mm and  \theta=\frac{2 \pi}{7} radians

So, area of sector= \frac{1}{2} r^{2} \theta

=\frac{1}{2} (20.3)^2 (\frac{2 \times 3.14}{7})

=184.85 square mm

5 0
4 years ago
Madison went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 500 mg of sodium and each
vovangra [49]

Madison purchased 5 cans of soup and 7 frozen dinners.

Step-by-step explanation:

Given,

Quantity of sodium in each soup can = 500 mg

Quantity of sodium in each frozen dinner = 700 mg

Total quantity = 7400

Let,

Number of soup cans purchased = x

Number of frozen dinners purchased = y

According to given statement;

500x+700y=7400        Eqn 1

y = x+2        Eqn 2

Putting value of y from Eqn 2 in Eqn 1

500x+700(x+2)=7400\\500x+700x+1400=7400\\1200x=7400-1400\\1200x=6000

Dividing both sides by 1200

\frac{1200x}{1200}=\frac{6000}{1200}\\x=5

Putting x=5 in Eqn 2

y=5+2\\y=7

Madison purchased 5 cans of soup and 7 frozen dinners.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/10710410
  • brainly.com/question/10717746

#LearnwithBrainly

4 0
4 years ago
The graphs show information about the different journeys of 4 people.
xxTIMURxx [149]

Answer:

A) b

B) c

Step-by-step explanation:

A) a large distance is covered in a short period of time but then the speed decreases

B) the person travels some distance but then returns to their starting point for a while(their home) and then starts on their journey again

4 0
3 years ago
Write the equation of a line that is parallel to y= -7x+5 and passes through the point (0,6)
zysi [14]

Answer:

The answer is y = - 7x + 6

Step-by-step explanation:

A parallel line will have the same slope and since the point that is given is a y intercept, you just plug in -7x + 6 to get your parallel equation

5 0
3 years ago
I need help with this
Stells [14]

Answer:

the answer is 406 L times H times W

6 0
3 years ago
Read 2 more answers
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