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3 years ago

Given that f ( x ) = 3 x − 7 and g ( x ) = 3 x + 9 , evaluate f ( g ( 2 ) )

Mathematics

1 answer:

Sergio [31]3 years ago

5 0

Answer:

Step-by-step explanation:

f ( x ) = 3 x − 7

g ( x ) = 3 x + 9

f(g(2))

First find g(2)

g(2) = 3(2)+9 = 6+9 = 15

Then find f(15)

f(15) = 3*15 -7 = 45 -7 =38

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Ricky ate 2 soft tacos, and 4 of his friends ate s soft tacos. If there were 18 2 points

shtirl [24]

Answer:

Each friend ate 4 tacos.

Step-by-step explanation:

"4 of his friends ate s tacos" is unclear. I assume it should be

"4 of his friends ate s tacos each."

total tacos = 2 + 4s = 18

4s = 16

s = 4

His four friends ate a total of 16 tacos, each friend eating 4 tacos.

Ricky's reason, i.e., that 6s = 18, is incorrect.

6s = 4s+2s, where 4s is what his friends ate in total.

That implies that Ricky ate 2s tacos, instead of 2 tacos. If 2s = 2 then s = 1, but then 6s ≠ 18.

4 0

3 years ago

2 less than four times a number is equal to twice a number increase by 8 write an equation and solve to find the value of x

Tom [10]

4x - 2 = 2x + 8
2x -2 = 8
2x = 10
x = 5

4(5)-2 = 2(5)+8
20-2 = 10+8
18 = 18

5 0

4 years ago

Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk

Ber [7]

Answer:

Step-by-step explanation:

A liter of milk cost $.75

A loaf of bread cost $1.75

7 0

3 years ago

Read 2 more answers

Rodrigo bought a pumpkin pie for $4.85 and a can of whipped cream for $1.55. He gave the cashier $7.00. How much change should R

madam [21]

Answer:
$0.60

step-by-step explanation:
4.85 + 1.55 = 6.40
7.00 - 6.40 = 0.60

7 0

3 years ago

A ladder 16 feet long is leaning against the wall of a tall building. The base of the ladder is moving away from the wall at a r

svet-max [94.6K]

Answer:

a. 0.588

b. 0.0722

c. 4.576 sqft/sec

Step-by-step explanation:

Let b and h denote the base and height as indicated in the diagram. By pythagoras theorem, $h^2 + b^2 = 16^2 = 256 \dotsc\;(1)$ because it is a right angle triangle.

It is given that $\frac{db}{dt} = 1$

Now differentiate (1) with respect to t (time) :

$\displaystyle{2h\frac{dh}{dt} + 2b\frac{db}{dt} = 0 \implies \frac{dh}{dt} = -\frac{b}{h} \frac{db}{dt}}$

$\displaystyle{=-\frac{b}{\sqrt{256 - b^2}} \frac{db}{dt} = -\frac{8}{13.856} \times 1 = -0.588}$

The minus sign indicates that the value of h is actually decreasing. The required answer is 0.588.

b. From the diagram, infer that $16 \sin{\theta} = b$ . When b = 8, then $\theta = \arcsin{0.5} = \ang{30}$ .

Differentiate the above equation w.r.t t

$\displaystyle{16 \cos{\theta} \frac{d\theta}{dt} = \frac{db}{dt} \implies \frac{d\theta}{dt} = \frac{1}{16 \cos{\theta}} = \frac{1}{13.856} = \mathbf{0.0722}}$

c. The area of the triangle is given by $A = 0.5\times h \times b$ . Differentiating w.r.t t,

$\displatstyle{\frac{dA}{dt} = 0.5 b \frac{dh}{dt} + 0.5 h \frac{db}{dt}}$

Plugging in b = 8, h = 13.856, $\frac{dh}{dt} = -0.588$ ,

$\frac{dA}{dt} = -2.352 + 6.928 = \mathbf{4.576 ft^2/sec}$

8 0

4 years ago