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valkas [14]
3 years ago
6

PLZ LOOK AT THE IMAGE AND PLZ TELL ME THE ANSWER I WILL GIVE BRAINLESS

Mathematics
1 answer:
raketka [301]3 years ago
7 0

Answer:

a) Unit price :

  • 12 cupcakes for $29 = $2.42
  • 50 cupcakes for $129 = $2.58

Reasoning:

  • 12 cupcakes for $29 = $29 ÷ 12 cupcakes which gives 2.416666667 and if rounded off gives you $2.42.
  • 50 cupcakes for $129 = $2.58 accurately.

b) 12 cupcakes for $29 gives the lowest unit price as $2.42 is less than $2.58.

<em>I hope this answer will help you !!!!</em>

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A cube has a length, width and height of 6 feet. What is the volume in cubic INCHES?
rodikova [14]

Volume of cube = ( side)^3

Side = 6 feet = 6×12 = 72 inches ( 1ft =12 inch)

Vol. = (72)^3 = 72×72×72= 373248 cubic inches

6 0
3 years ago
Find the vertex of the graph of the function.
lapo4ka [179]

Answer: The correct options are  (1) (5,10), (2) (3,-3), (3) x = -1, (4) y=(x+2)^2+3, (5) 21s and (6) 0, -1, and 5.

Explanation:

Te standard form of the parabola is,

f(x)=a(x-h)^2+k        .....(1)

Where,  (h,k) is the vertex of the parabola.

(1)

The given equation is,

f(x)=(x-5)^2+10

Comparing this equation with equation (1),we get,

h=5 and k=10

Therefore, the vertex of the graph is (5,10) and the fourth option is correct.

(2)

The given equation is,

f(x)=3x^2-18x+24

f(x)=3(x^2-6x)+24

To make perfect square add (\frac{b}{2a})^2, i.e., 9. Since there is factor 3 outside the parentheses, so subtract three times of 9.

f(x)=3(x^2-6x+9)+24-3\times 9

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

Comparing this equation with equation (1),we get,

h=3 and k=-3

Therefore, the vertex of the graph is (3,-3) and the fourth option is correct.

(3)

The given equation is

f(x)=4x^2+8x+7

f(x)=4(x^2+2x)+7

To make perfect square add (\frac{b}{2a})^2, i.e., 1. Since there is factor 4 outside the parentheses, so subtract three times of 1.

f(x)=4(x^2+2x+1)+7-4

f(x)=4(x+1)^2+3

Comparing this equation with equation (1),we get,

h=-1 and k=3

The vertex of the equation is (-1,3) so the axis is x=-1 and the correct option is 2.

(4)

The given equation is,

y=x^2+4x+7

To make perfect square add (\frac{b}{2a})^2, i.e., 2^2.

f(x)=x^2+4x+4+7-4

f(x)=x^2+4x+4+7-4

f(x)=(x+2)^2+3

Therefore, the correct option is  4.

(5)

The given equation is,

h=-16t^2+672t

It can be written as,

h=-16(t^2-42t)

It is a downward parabola. so the maximum height of the function is on its vertex.

The x coordinate of the vertex is,

x=\frac{b}{2a}

x=\frac{42}{2}

x=21

Therefore,  after 21 seconds the projectile reach its maximum height and the correct option is first.

(6)

The given equation is,

f(x)=3x^3-12x^2-15x

f(x)=3x(x^2-4x-5)

Use factoring method to find the factors of the equation.

f(x)=3x(x^2-5x+x-5)

f(x)=3x(x(x-5)+1(x-5))

f(x)=3x(x-5)(x+1)

Equate each factor equal to 0.

x=0,-1,5

Therefore, the zeros of the given equation is 0, -1, 5 and the correct option is 2.

3 0
3 years ago
In a study of bat migration habits, 240 male bats and 160 female bats have been tagged. If 100 more female bats are tagged, how
valentinak56 [21]
Remark 
The way you have to set this up is to take the new number for the males and put it over the total for the males and females. The new number for the males / total = 3/5.

Step One
Find the total number of females
100 + 160 = 260 when 100 females have been added to the study.

Step Two 
Find the number of males
The total number of males = 240 + x where x is the number of males to be added.

Step Three
Find the total for both
260 + 240 + x = Total
500 + x = Total.

Step Four
Find the ratio of males to total
(240 + x) / (500 + x) = 3/5   

Step Five
Cross multiply and solve
(240 + x)*5 = (500+x)*3
1200 + 5x = 1500 + 3x    Subtract 1200 from both sides.
5x = 1500 - 1200 + 3x     
5x = 300 + 3x                   Subtract 3x from both sides.
5x - 3x = 300
2x = 300                          Divide by 2 
x = 300  / 2
x = 150

Check
(240 + 150 ) / (500 + 150) = ? 3/5
390 / 650 = ? 3/5
39/65 = ? 3/5  Divide the top and bottom on the left by 13
3/5 = 3/5 and it checks. 

7 0
3 years ago
Read 2 more answers
The endpoints of the diameter of a circle are (–3, –6) and (–7, 8). Find the x-coordinate of the center of the circle.
Crazy boy [7]
You need to find the midpoint of the line. To get x coordinate you take (x1 + x2)/2 which is (-3+-7)/2 = -10/2 = -5. Same thing applies for y.
7 0
3 years ago
4 times the measure of the complement of an angle is equal to 2/3he measure of the original angle's supplement. what is the meas
Andrej [43]
Let x be the angle
Complement of x is (90 degrees-x)
Supplement of x is (180 degrees-x)

4•(90-x)= 2/3(180-x)
3•4(90-x)=2(180-x)
1080-12x=360-2x
1080-360=12x-2x
720=10x
720/10= x
So x = 72 degrees
3 0
3 years ago
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