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horsena [70]
3 years ago
12

The estimated total cost, y, of a child's toy is partially based on the number of batteries used,

Mathematics
2 answers:
shutvik [7]3 years ago
6 0

Answer:

y = 0.75x + 12

Step-by-step explanation:

y: total cost

x: number of batteries

If the toy costs $12, the total cost must be those $12 plus the amount of money spent in the batteries.

Money spent in batteries:

0.75x

this is because each battery costs $0.75, is he uses x amount of batteries he must pay the 0.75x

Thus, the total cost is

y = 0.75x + 12

which is the cost of the batteries and the cost of the toy added together.

Harman [31]3 years ago
3 0

Answer:

Step-by-step explanation:

its number B

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11..
lozanna [386]

Answer:

D. n= 0 or n= 4/5

Step-by-step explanation:

Factor and set each factor equal to zero.

n

=

0

,

4

5

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

n

=

0

,

4

5

Decimal Form:

n

=

0

,

0.8

4 0
3 years ago
To make his famous chocolate cake, a baker uses chocolate that is 75% cocoa.
Masja [62]

The baker needs to use 100/3 pounds of 90% chocolate to make the cake.

<h3>Equation </h3>

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the amount of 90% chocolate. Using equation:

100 * 70% + x * 90% = (x + 100) * 75%

100 * 0.7 + 0.9 * x = (x + 100) * 0.75

70 + 0.9x = 0.75x + 75

x = 100/3

The baker needs to use 100/3 pounds of 90% chocolate to make the cake.

Find out more on Equation  at: brainly.com/question/22688504

8 0
2 years ago
If the figure is rotated 270° counterclockwise about the origin, what is the length of segment N′P′?
kap26 [50]

Answer:

Option (2)

Step-by-step explanation:

Since, rotation of any figure is a rigid transformation, side lengths and measure of angles of the image polygon after rotation will remain same.

NP = N'P'

Coordinates of N → (5, 9)

Coordinates of P → (7, 9)

Formula of distance between two points (x_1,y_1) and (x_2,y_2) is,

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

By this formula length of NP = \sqrt{(7-5)^2+(9-9)^2}

                                               = 2 units

Therefore, Option (2) will be the correct option.

7 0
2 years ago
Find the area of the shaded region - please just show your first step in this process.
erastovalidia [21]

Answer:

4x^3 - 3x^2 - 14x + 6 (this is the formula since we don't know x)

Step-by-step explanation:

[(4x-2) x (x^2 - 3)] - [(x+2) x (x)] = 4x^3 - 3x^2 - 14x + 6

4 0
2 years ago
Is the binomial a factor of the polynomial function? f(x)=x3+2x2−16x−32
goblinko [34]
Since it is x^3 cubed it has 3 maximum roots
by the zero multiplication property of function
if you plug find a root then you can deduce it is a factor in other words if f(x)=(x-a)(x-b)
then f(a)=0 and f(b)=0
so
f(2)=8+8-32-32= -48 therefore it is not a factor
f(-2)=-8+8+32-32=0 hence it is a factor
f(4)=64+32-64-32=0 it is a factor
f(-4)=-64+32+64-32=0 it is a factor
f(-6) it is not a factor via the fundmental therom of algebra
f(x)=(x+2)(x-4)(x+4)
=(x^2-16)(x+2)=x^3+2x^2-16x-32 which checks our work
8 0
3 years ago
Read 2 more answers
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