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Scrat [10]
4 years ago
14

In one store, bananas cost 60 cents per pound. The cost, in dollars, of x pounds of bananas is 0.6x. What is the cost of 2.50 po

unds of bananas?
A) $0.42
B) $4.17
C) $1.50
D) $1.70
Mathematics
2 answers:
-Dominant- [34]4 years ago
8 0
<span>bananas cost 60 cents per pound
</span><span>The cost, in dollars, of x pounds of bananas is 0.6x

</span>if <span>2.50 pounds of bananas then
0.6(2.5) = 1.50

answer
</span><span>C) $1.50</span>
tester [92]4 years ago
3 0
That would be 0.6 * 2.50  dollars   ( replacing the x by 2.50)

Answer is $1.50

C
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100 points!!!
Bogdan [553]

Answer:

(1, 5)

Step-by-step explanation:

The solution to the system of equations is the point of intersection of the two lines.  From inspection of the graph, the point of intersection is at (1, 5).

<u>Proof</u>

The solution to a system of equations is the point at which the two lines meet.  

⇒ g(x) = f(x)

⇒ 3x + 2 = |x - 4| + 2

⇒ 3x = |x - 4|

⇒ 3x = x - 4   and   3x = -(x - 4)

⇒ 3x = x - 4

⇒ 2x = -4

⇒ x = -2

Inputting x = -2 into the 2 equations:

⇒ g(-2) = 3 · -2 + 2 = -4

⇒ f(-2) = |-2 - 4| + 2 = 8

Therefore, as the y-values are different, x = -2 is NOT a solution

⇒ 3x = -(x - 4)

⇒ 3x = 4 - x

⇒ 4x = 4

⇒ x = 1

Inputting x = 1 into the 2 equations:

⇒ g(1) = 3 · 1 + 2 = 5

⇒ f(1) = |1 - 4| + 2 = 5

Therefore, as the y-values are the same, x = 1  IS a solution

and the solution is (1, 5)

8 0
3 years ago
At what values of x does f(x) = x^3 - 2x^2 -4x+1 satisfy the mean value theorwm on [0,1]
denis-greek [22]

Answer:

x=1/3

Step-by-step explanation:

A function f is given as

f(x) = x^3-2x^2-4x+1 in the interval  [0,1]

This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)

Hence mean value theorem applies for f in the given interval

f(1) = 1-2-4+1 = -4\\f(0) = 1

The value

\frac{f(1)-f(0)}{1-0} =\frac{-4-1}{1} =-5

Find derivative for f

f'(x) = 3x^2-4x-4

Equate this to -5 to check mean value theorem

3x^2-4x-4=-5\\3x^2-4x+1=0\\\\(x-1)(3x-1) =0\\x= 1/3 : x = 1

We find that 1/3 lies inside the interval (0,1)

4 0
3 years ago
Zoe is purchasing a birthday card for a relative. After shopping at four other stores, Zoe purchases the card at Gifts and More.
Aleksandr [31]

Answer:

It's A.

Step-by-step explanation:

I hope this answers your question correctly!

5 0
3 years ago
Someone solve this equation much appreciated!
daser333 [38]

Answer:

\frac{2A}{h} = b

Step-by-step explanation:

  • this can be done by simple manipulation .
  • in the given equation, A is the subject.
  • so, by the above statement you can understand the meaning of making something as a subject.
  • given equation: A = 1/2 bh
  • multiply both the sides by 2,

2A = bh

  • divide both the sides by h,

\frac{2A}{h} = b

so, the required form is : \frac{2A}{h} = b

3 0
3 years ago
Plllzzz im new and i neeed help
ella [17]

Answer:

4082

Step-by-step explanation:

Given

The composite object

Required

The volume

The object is a mix of a cone and a hemisphere

Such that:

<u>Cone</u>

r = 10cm ---- radius (r = 20/2)

h = 19cm

<u>Hemisphere</u>

r=10cm

The volume of the cone is:

V_1 = \frac{1}{3}\pi r^2h

V_1 = \frac{1}{3}\pi * 10^2 * 19

V_1 = \frac{1900}{3}\pi

The volume of the hemisphere is:

V_2 = \frac{2}{3}\pi r^3

V_2 = \frac{2}{3}\pi 10^3

V_2 = \frac{2000}{3}\pi

So, the volume of the object is:

V = V_1 + V_2

V = \frac{1900}{3}\pi + \frac{2000}{3}\pi

V = \frac{3900}{3}\pi

V = 1300\pi

V = 1300 * 3.14

V = 4082

8 0
3 years ago
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