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Paraphin [41]
3 years ago
8

Using the following function rule F(x) = 5^x + 5, the value of

Mathematics
1 answer:
Troyanec [42]3 years ago
5 0

Answer:

False

Step-by-step explanation:

Given F(x) = 5^x + 5

To find value of F(-3)

we will plug -3 in place x

then we have

F(-3) = 5^x + 5\\=>F(-3) = 5^3 + 5 =>F(-3) = 125 + 5\\=>F(-3) = 120

we have used 5^3 = 5*5*5 = 125 in the above solution.

It is given that F(-3) is -120 while we have calculated F(-3) to be 120.

Thus, F(-3) is -120 is false.

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You have 15 milliliters of a drink that contains 15% milk. How many millimeters of a drink containing 63% milk needs to be added
Igoryamba

Answer:

4 ml of the 63% milk drink

Step-by-step explanation:

Multiplying 15 ml by 0.15 results in 2.25 ml, the amount of whole milk in the drink.  Let m represent the number of ml of a drink that is 63% milk.

The final amount of milk drink that is to be 45% milk will be 15 ml + m, and the amount of whole milk contained in this drink will be 0.45(15 + m).

Then:

0.15(15 ml) + 0.63(m) = 0.45(15 + m), where m is to be in milliliters.

2.25 + 0.63m = 6.75 + 0.45m

First:  consolidate the m terms on the left.  0.63m less 0.45m yields 18 m; then we have:

2.25 + 18m = 6.75, or

18 m = 4.50, or m = 4 ml.

In conclusion:  adding 4 ml of that 63% milk drink to the initial 15 ml of 15% milk will result in (15 ml + 4 ml) of a 45% milk drink.            

8 0
3 years ago
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room.
Gelneren [198K]

Answer:

B. y² – 5y = 750

C. 750 – y(y – 5) = 0

E. (y + 25)(y – 30) = 0

I'm assuming the 2 in the second option is supposed to be an exponent.

Step-by-step explanation:

Length = y

Width = y-5

Length × Width = Area

Area = <u>y(y-5)</u> = 750

<u>Distribute.</u>

y²-5y=750 (B is correct)

<u>If you factor the equation above</u>

(y + 25)(y – 30) = 0 (E is correct)

Area = y(y-5) = 750

<u>Subtract y(y-5) from both sides.</u>

750-y(y-5) = 0 (C is correct)

6 0
3 years ago
HELP PLEASE !!!!<br>A<br>B<br>C<br>D<br>E<br>???​
mario62 [17]

Answer:

A is the answer

Step-by-step explanation:

first take out the common factors ithe numerator and then after that take the common factors of denominator and then common terms cancels off and 3/n will remain

4 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST
Aleksandr-060686 [28]

Answer:

Choice C (OS)

Step-by-step explanation:

the radius is half of the diameter which is AB, or any line from point O to the actual circle. And because one option is point O to point S (point on circle) the answer is Choice C (OS)

4 0
3 years ago
A Genesse High School, the Sophomore class has 60 more students than the Freshmen class. The junior class has 50 fewer students
alexira [117]
1427 = (F) (+ F + 60) (2F - 50) (+ 3F)
<em>Each pair of brackets represents one of the classes - F meaning Freshmen Class. It has been split into brackets for demonstrational purposes - nothing is being multiplied.</em>
F is an unknown number and each other class size is based off of that so we put it in algebraic terms in order to work it out.
1 - Freshmen Class
2 - Sophomore Class (Freshmen Class + 60 more students)
3 - Junior Class ( Twice the size of the Freshmen Class - 50 students)
4 - Senior Class (Three times the size of the Freshmen Class)

All this can be simplified to 7F + 10 = 1427
1427 - 10 = 1417
1417/7 = 202.428....

Is there a mistake in the question?

Following the question with 202 as the answer - the number 1424 is reached
If increased to 203 - 1431 is reached.
The answer shouldn't include half a person.

3 0
3 years ago
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