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liq [111]
3 years ago
8

A cheese pizza costs $5. Additional toppings cost $1.50 each. Write and graph an equation that represents the total cost $c$ (in

dollars) of a pizza with $t$ toppings.
An equation that represents the total cost of a pizza c=____
Mathematics
2 answers:
anzhelika [568]3 years ago
8 0

Answer:

1.5x + 5 = total cost

Step-by-step explanation:

If you have x toppings you multiply 1.5 by x. :)

Triss [41]3 years ago
7 0

Answer:

5 + 1.5x = total cost

Step-by-step explanation:

5 is for one pizza and x is for toppings. For every topping it is multiplied by 1.5. for example, if you have 2 toppings for one cheese pizza it would be 5 dollars + 1.5x2 which is 3 so 3+5=8$ in total.

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What is the period of the function F(x) = -4sec (1/2 x)
serg [7]

Answer:

A) 4π

Step-by-step explanation:

The period of a secant function, f(x)=a*sec(bx+c)+d, is defined as 2π/|b| where b is the distance of the period. Since we know b=1/2 given by the function, then the period is 2π/|1/2|=2π/(1/2)=2π(2/1)=4π.

8 0
3 years ago
The line y = hx - 2 where h > 0 meets the curve 3y² = 9x² - 6x + 1.
I am Lyosha [343]

Answer:

h=6

Step-by-step explanation:

since y =hx -2 is an equation for a line which intersects with the curve 3y^2 = 9x^2 - 6x +1. The point of intersection, let's say (x_1,y_1), should satisfy the two equations. As a result, the value of y in the second equation can be replaced with the value of y in the first equation as the following,

3y^2 = 3(hx-2)^2 = 9x^2 - 6x +1\\3(h^2x^2 -4hx + 4) = 9x^2 - 6x + 1\\3h^2 x^2 -12hx +12 = 9x^2 - 6x +1

therefore, the latter equation can be rewritten in a quadratic equation form as the following,

(9 - 3h^2) x^2 + (12h-6)x + (1-12) = (9 - 3h^2) x^2 + (12h-6)x -11 = 0

if the line is tangent to the curve, it means that the line touches the curve at one point, therefore the discernment of the second order equation will be equal to zero for the famous quadratic equation solution.

b^2 -4ac =0

where a=9-3h^2, b=12h-6 and c=-11, as a result, the following equations can be deduced,

(12h-6)^2 - 4*(9-3h^2)*(-11) = (144h^2 -144h +36) - (36 -12h^2)*(-11)=\\(144-(-12)*(-11)h^2 )  -144h +36 -(36*(-11)) =\\12 h^2 -144h +432 =0

therefore, dividing both sides by 12

h^2 -12 +36 =0\\(h-6)^2 =0\\h=6

8 0
2 years ago
Susan bought 1 kilogram bag of grapes
ki77a [65]

you need more context to ask a question

6 0
3 years ago
I need alot of help plz
masya89 [10]
What do you need help with : )
7 0
2 years ago
The cost of two baseball bats is $360. if the aluminum one cost $40 more than the wood one, find the cost of the aluminum bat.
Korolek [52]
We would have 
a + b = 360
a - 40 = b, so we solve as follows:
360-40=320,
320/2 = 160, 
160 + 40 = 200.
Check: 200+160 = 360, so
200 is your answer. 

Hope this helps and have a nice day:)
3 0
3 years ago
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