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2 years ago

Exponential Growth Functions

Mathematics

1 answer:

Ainat [17]2 years ago

7 0

F (x) = 5(4) ^x Is the right answer

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Maya has 3 times as many dimes as nickels. She has 4 more quarters than nickels. if she has a total of $9.40, how many of each t

puteri [66]

Answer: nickels = 14, dimes = 42, quarters = 18

Step-by-step explanation:

Let n represent nickels which has a value of $0.05

Let d represent dimes which has a value of $0.10

Let q represent quarters which has a value of $0.25

It is given that:

n = n

d = 3n

q = n + 4

and their total value is $9.40 ⇒ n + d + q = $9.40

Use substitution to find the quantity of nickels:

.05(n) + .10(3n) + .25(n + 4) = 9.40

5n + 10(3n) + 25(n+4) = 940 multiplied by 100

5n + 30n + 25n + 100 = 940 distributed

60n + 100 = 940 added like terms

60n = 840 subtracted 100

n = 14 divided by 60

n = 14

d = 3n

= 3(14)

= 42

q = n + 4

= (14) + 4

= 18

4 0

3 years ago

X²+8x-84=0 Formúla General

Brums [2.3K]

Answer:

$x_{1} =-14\\\\x_{2} =6$

Step-by-step explanation:

$x^{2} +8x-84=0\\\\x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=8; \: \: c=-84\\\\x=\dfrac{-8 \pm \sqrt{8^{2}-4 \cdot 1 \cdot (-84) } }{2 \cdot 1}=\dfrac{-8 \pm \sqrt{400 } }{2}=\dfrac{-8 \pm20}{2} =-4 \pm 10\\\\x_{1} =-14\\\\x_{2} =6$

8 0

3 years ago

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 m

bezimeni [28]

Answer: 0.75

Step-by-step explanation:

Given : Interval for uniform distribution : [0 minute, 5 minutes]

The probability density function will be :-

$f(x)=\dfrac{1}{5-0}=\dfrac{1}{5}=0.2\ \ ,\ 0$

The probability that a given class period runs between 50.75 and 51.25 minutes is given by :-

$P(x>1.25)=\int^{5}_{1.25}f(x)\ dx\\\\=(0.2)[x]^{5}_{1.25}\\\\=(0.2)(5-1.25)=0.75$

Hence, the probability that a randomly selected passenger has a waiting time greater than 1.25 minutes = 0.75

7 0

3 years ago

How to write 168.7 in expanded form

nadya68 [22]

Answer:

100 + 60 + 8 + 0.7

Step-by-step explanation:

Expanded form or expanded notation is a way of writing numbers to see the value of individual digits.

3 0

3 years ago

Read 2 more answers

What is 50,000 times 10 to the 15th

Misha Larkins [42]

Remember property of exponents
$(x^m)(x^n)=x^{m+n}$
add exponents of same base

ok so

50,000 is 5 times 10^4

so

50000 times 10^15=
5 times 10^4 times 10^15=
5 times $10^{4+15}$ =
5 times 10^19

8 0

3 years ago