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MakcuM [25]
3 years ago
11

Cole paid $24 for 2 calculators and a pack of pens. Kai paid $45 for 3 calculators and 2 packs of pens. They both paid $6 for ea

ch pack of pens. How much more did Kai pay for each calculator?
Mathematics
2 answers:
Alexandra [31]3 years ago
6 0
Kai paid 2 more dollars for each calculator
this is because if one pack of pens=6 dollars and cole has one pack then u do 24-6=18 18 divided by 2 = 9 so cole spent 9 dollars of each calculator. Kai bought 3 calculatoes and 2 packs of pens so u would do the 2 packs of pens which equal 6 dollars each which would give u a total of 12. Then do 45-12=33. So 33 divided by 3 (the number of calculators bought) which would equal 11
11-9=2 so kai paid 2 more dollars
s344n2d4d5 [400]3 years ago
3 0
$12 for one of the calculators
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wolverine [178]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
What is the vertex of the parabola whose equation is y = (x + 1)2 + 3? (-1, -3) (-1, 3) (1, 3)
White raven [17]
Algebra:
A standard parabola is y = x^2. Its vertex is at (0,0)
You can change the position (or vertex) of the parabola.
To move a parabola across the x-axis, you can add or subtract a number from x WITHIN brackets of the ^2
eg. (x + 1)^2 will move the parabola across the x-axis. It will move is one unit to the LEFT (as the sign is opposite to the direction it moves ie. The sign it + but you move the whole parabola in the -ve direction).
Adding or subtracting a number from x OUTSIDE of the ^2 moves the parabola up or down the y-axis
eg. x^2 + 3 will move the parabola UP 3 units (the sign is the same as the direction it moves when the added/subtracted number is outside of the ^2 ie. the sign is positive so the parabola moves up in the positive direction)

From this, we can conclude that because (x + 1)^2 + 3, the vertex will be where x = -1 and where y = 3

Vertex : (-1,3)



Calculus:
f(x) = (x + 1)^2 + 3 = x^2 + 2x + 1 + 3 = x^2 + 2x + 4
Expanding the formular to make it easier to differentiate

f'(x) = 2x + 2
Differentiating (finding the formular the the gradiet of the parabola)

0 = 2x + 2
When the gradient is equal to zero, it must be the vertex

-2 = 2x
-2/2 = x
x = -1
Solve to give the x value at the vertex

f(x) = (x + 1)^2 + 3
= (-1 + 1)^2 + 3
Substitute x = -1 into original equatiom to find y value at the vertex

= (0)^2 + 3
= 0 + 3
= 3
Solve for y

Vertex : (-1,3)


6 0
3 years ago
Can someone pleasee help
kari74 [83]

Answer:

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7 0
2 years ago
Which of the following is the square of a binomial?
anyanavicka [17]

All options except Option D , a² + b²  , is the square of the binomial.

<h3>What is a Binomial ?</h3>

A polynomial that contains only two term is called a Binomial.

The sum of square of a binomial is the sum of square of the first term , square of second term and twice of the product of the first and second term.

(a+b)² = a² +b² +2ab

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The options have to be broken down into this form to check whether they are square of a binomial

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Option B:  16x² + 24xy + 9y²=(4x+3y)²

Option C : c²- 2cd - d²=(c-d)²

Option D : a² + b² cannot be written as the square of binomial.

All options except Option D is the square of the binomial.

To know more about Binomial

brainly.com/question/11379135

#SPJ1

5 0
2 years ago
How many sides does a regular polygon have if the measure of one of its interior angles is 168 degrees?
Nezavi [6.7K]
Since the interior is 168 then the exterior is 180-168 leaving 12. is a total of 360 degrees so 360/12= 30 or 30 sides.
5 0
3 years ago
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