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3 years ago

Given f(x)=3x+4, find f(2)

Mathematics

2 answers:

eduard3 years ago

8 0

Answer:

-2/3

Step-by-step explanation:

Yanka [14]3 years ago

7 0

The answer is going to be -2/3

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a boat makes a 120-mile trip downstream in 3 hours but makes the return trip in 4 hours. what is the rate of the boat in still w

Tpy6a [65]

Let b equal the speed of the boat in still water.
Let c equal the speed of the current.
Going downstream, we can write the equation:
$b+c=\frac{120}{3}$
which can be rearranged to:
3b + 3c = 120 ............(1)
Going upstream, we can write the equation:
$b-c=\frac{120}{4}$
which can be rearranged to:
4b - 4c = 120 .............(2)
Multiplying equation (1) by 4, and multiplying equation (2) by 3 we get:
12b + 12c = 480 ........(3)
12b - 12c = 360 .........(4)
Adding equations (3) and (4) results in the following equation:
24b = 840
$b=\frac{840}{24}=35\ mph$

7 0

4 years ago

The mean of this data is 8 what two numbers could go in the blanks <br><br> 12,4,9,13,7,11,5,2,-,-

Sophie [7]

12+4+9+13+7+11+5+2+_+_ /10= 8
x10 both sides

12+4+9+13+7+11+5+2+_+_=80
63+_+_=80
-63 both sides
_+_= 17
any two numbers that add up to 17 can go in the planks
7,10

4 0

4 years ago

State and prove mid point theorem

rodikova [14]

Answer:

The midpoint theorem states that “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side."

Step-by-step explanation:

3 0

3 years ago

Identify the reflection rule on a coordinate plane that verifies that triangle A(-1,7), B(6,5), C(-2,2) and A'(-1,-7), B'(6,-5),

malfutka [58]

Answer:

Option B is correct.

The reflection rule is followed here is, $(x,y) \rightarrow (x, -y)$ .

Explanation:

Since, the triangle is reflected over the x-axis , then only y- coordinates will get changed but the x coordinates will remain the same.

$A(-1,7) \rightarrow A'(-1,-7)$

$B(6,5) \rightarrow B'(6,-5)$

$C(-2,2) \rightarrow C'(-2,-2)$

Therefore, the only reflection rule on the coordinate plane that verifies the triangle are congruent when reflected over x-axis is, $(x,y) \rightarrow (x, -y)$

3 0

4 years ago

5. Whitney deposits $9,000 for 2 years. She compares two different banks. State

Volgvan

Answer:

a. $ 381.969,

b. $ 369.171,

c. Kings Savings

d. Reliability.

Step-by-step explanation:

∵ Amount formula in compound interest,

$A=P(1+r)^t$

And, amount formula in continuously,

$A=Pe^{rt}$ ,

Where,

P = principal amount,

r = rate per periods,

t = number of periods,

a. In State bank,

P = $ 9000, r = 2.1% = 0.021, t = 2 years,

Also, interest earned compound annually,

Thus, amount,

$A=9000(1+0.021)^2 = 9000(1.021)^2 = \$ 9381.969$

So, interest earned = A - P = 9381.969 - 9000 = $ 381.969,

b. In Kings Savings,

P = $ 9000, r = 2.01% = 0.0201, t = 2 years,

Also, interest earned compound continuously,

Thus, amount,

$A=9000e^{0.0201\times 2} = \$ 9369.171$

So, interest earned = A - P = 9369.171 - 9000 = $ 369.171,

c. ∵ 369.171 > 381.969

Thus, King saving pays higher interest.

d. Since, the other factors might affect Whitney's choice besides interest would be reliability.

5 0

3 years ago