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goblinko [34]
3 years ago
6

After a 70% ​reduction, you purchase a new soft drink machine on sale for ​$180. what was the original price of the soft drink m

achine​?
Mathematics
1 answer:
tresset_1 [31]3 years ago
6 0
The original price of the soft drink machine was $306
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Find the vertex of the function given below.<br><br> y= x2 - 6x +1
Helga [31]

Answer:

V( 3, -8 )

Step-by-step explanation:

Parable equation is of the form:

( x - h )² = 4p*(y - k)

In that expression, vertex has coordinates V ( h, k )

Then all we have to do is transform the given equation

y = x² - 6x + 1       or     x² - 6x  = y - 1          (1)

We can get a  perfect square trinomial in the first member of the equation according to:

x²  -  6x   =   ( x - 3 )²  - 9

(x - 3 )²   = x² - 6x  + 9

By substitution  en equation (1)

( x - 3 )² - 9 = y - 1

( x - 3 )² = y -1 + 9

( x - 3 )² = y + 8

( x - 3 )² = (y + 8 )

Then vertex coordinates are

V( 3 , -8)

3 0
3 years ago
If n = 4, what is the value of 6n - 3
Arturiano [62]
Answer: 21
steps:
1) 6(4) - 3
2) 24 - 3
3) 21
3 0
3 years ago
If a drug has a concentration of 400 mg per 10 ml, how many mL are needed to give 1.5 grams of the drug?
liq [111]

40,

since

400 x 4 + 1.6 grams. which is the closest

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4 0
3 years ago
Cole spent a total of 523.46 on holiday gifts for his friends and family. If he bought gifts for eleven people,about how much di
Vlada [557]

Answer:

Cole spend 47.587 on buying gifts for each person.

Step-by-step explanation:

Given:

Total money spend on gifts = 523.46

Number of people gifts were bought for = 11

We need to find how much he spend on each person.

Solution:

To find how much he spend on each person we will divide total money spend on gifts with number of people gifts were bought for.

framing in equation form we get;

Spending on each person = \frac{523.46}{11} = 47.587

Hence Cole spend 47.587 on buying gifts for each person.

6 0
3 years ago
Find the probability of throwing 9 with two dice.
ololo11 [35]
Total number of possible outcomes of throwing two dice = 6×6 = 36
Number of outcomes of getting 9 i.e, (3+6),(4+5),(5+4),(6+3) = 4

P = \frac{Number \: of \: favourable \: outcomes}{ Total \: number \: of \: possible \: outcomes}

P (throwing \: 9) = \frac{4}{36} = \frac{1}{9}
6 0
3 years ago
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