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kenny6666 [7]
2 years ago
13

Marco and his friends bought game tokens for 15$ and three admission tickets to fun place whih expression could be used to repre

sent the total amount of money they spent if t represents the cost of the tickets
a    3t +15
b    15t +3
c    3t-15
d    3t divided by 15
Mathematics
1 answer:
bearhunter [10]2 years ago
3 0
T= cost of one ticket
f(t)=3t+15

a)3t+15
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In which interval is the radical function f of x is equal to the square root of the quantity x squared plus 2 times x minus 15 e
sergij07 [2.7K]

Using function concepts, it is found that it is increasing on the interval:

(–∞, –5] ∪ [3, ∞)

---------------

The function is given by:

f(x) = \sqrt{x^2 + 2x - 15}

The graph is given at the end of this question.

  • If the function is pointing upwards, it is increasing. Otherwise, it is decreasing.
  • In the graph, it can be seen that it is pointing upwards for x of -5 and less, or 3 and higher, thus, the interval is:

(–∞, –5] ∪ [3, ∞)

A similar problem is given at brainly.com/question/13539822

3 0
1 year ago
A collection of 108 coins containing only quarters and nickels is worth $21. A table titled Coin Collection showing Number of Co
harina [27]

Answer:

q = 108-n

Step-by-step explanation:

Given: 108 coins containing only quarters and nickels

q = 108-n

since total number of coins is 108, and n= number of nickels

If you want to know how many of each kind of coin, read on:

First solve the number of quarters and nickels.

If all 108 coins are quarters, the value is 108*0.25 = $27

Since this value exceed the actual by 27-21 = $6,

we replace a number of quarters by nickels.

Each replacement will reduce the value by 25 - 5 = 20 cents = 0.2 dollars.

So it will take 6/0.2 = 30 replacements.

Therefore there are 108-35 = 78 quarters and 30 nickels.

8 0
1 year ago
Read 2 more answers
Hi. Please I need help with this :
ki77a [65]

Answer:

1.79553

Step-by-step explanation:

Step 1: Write expression

log₁₀(√(69.5² - 30.5²))

Step 2: Evaluate square root

log(√(4830.25 - 930.25))

log(√3900)

log(62.45)

Step 3: Find log

log₁₀ (or log)

log(62.45) = 1.79553

-------------------------------------

To use the table method. we find values that are easily evaluated by log₁₀

log₁₀(10) = 1

log₁₀(50) = 1.69897

log₁₀(100) = 2

So we know that log₁₀(62.45) is between 1 and 2 and greater that 1.69897.

3 0
2 years ago
The price of a train ticket consists of an initial fee plus a constant fee per stop.
murzikaleks [220]

Answer:

Initial Fee is $2.

Step-by-step explanation:

Given:

Stops  Price (dollars)

3         6.50

7         12.50

11         18.50

Also Given:

The price of a train ticket consists of an initial fee plus a constant fee per stop.

So let the Cost of initial fee be 'x'.

Also Let the Cost of Constant fee be 'y'.

Now Equation can framed as;

Price (P) = x + (y\times \textrm{Number of Stops})

Now According to table;

Number of stops = 3

Price = 6.50

So equation can be framed as;

x+3y =6.50 \ \ \ \ equation \ 1

Also According to table;

Number of stops = 7

Price = 12.50

So equation can be framed as;

x+7y =12.50 \ \ \ \ equation \ 2

Now Subtracting equation 1 from equation 2 we get;

(x+7y)-(x+3y) =12.50-6.50\\\\x+7y-x-3y=6\\\\4y =6\\\\y= \frac{6}{4}=\$1.5

Substituting the value of y in equation 1 we get;

x+3\times1.5=6.50\\\\x+4.5=6.50\\\\x =6.50-4.5 = \$2

Hence Initial Fee is $2.

8 0
2 years ago
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Henry constructed circle A with a radius of 4 units. He then created a sector as shown in the figure below. Which of the followi
puteri [66]
The picture in the attached figure

we know that
area of a sector=(∅*pi/360°)*r²--------> when ∅ is in degree

in this problem
∅=120°
r=4 units
so
area of a sector=(120°*pi/360°)*4²-------> (120°/360°)*(16*pi) units²

The <span>expressions to find the area of the shaded sector is
</span>(120°/360°)*(16*pi) units²

(1/3)*(16*pi)----> (16/3)*pi units²

the area of the shaded sector is  (16/3)*pi units²

8 0
2 years ago
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