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3 years ago

What is the domain of the function shown below?

Mathematics

1 answer:

Tatiana [17]3 years ago

8 0

Answer:

Step-by-step explanation:

A logarithmic function, log(x) has a domain x>0. For this logarithmic equation x+2>0, x>-2.

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After t seconds, a ball in the air from the ground level reaches a height of h feet given by the equation h= 144t-16t^2 . After

Effectus [21]

H=0
Therefore:
144t-16t²=0
t (144-16t)=0
We have two equations:
1)
t=0 (when the ball is released)
2)
144-16t=0
-16t=-144
t=-144 / -16=9 (this is the time )

Answer: the ball hit the ground in 9 s.

3 0

3 years ago

Factor 10x3 + 8x2 - 6x.

valkas [14]

We notice a factor of 2x in both 2x(5x^2+4x-3) trial and error (5x-3)(x+1) yeilds 5x^2+2x-3, nope (5x+3)(x-1) yeilds 5x^2-2x-3, nope (5x-1)(x+3) yeilds 5x^2+14x-3, nope (5x+1)(x-3) yeilds 5x^2-14x-3, nope simplest form is 2x(5x^2+4x-3)

6 0

4 years ago

Price-club sells a 12-ounce package of spaghetti noodles for $3.44 and Shop Mart sells a 2-pound box of spaghetti noodles for $8

Eva8 [605]

The unit price per ounce at Price club is $0.29 and the unit price per ounce at Shop Mart is $0.26

Step-by-step explanation:

Price of 12 ounce package at Price Club = $3.44

Unit rate per ounce = $\frac{Price\ of\ package}{Weight\ of\ package}$

Unit rate per ounce = $\frac{3.44}{12} = \$0.29$

Price of 2 pound box at Shop Mart= $8.35

1 pound = 16 ounce

2 pound = 16*2 = 32 ounces

Unit rate per ounce = $\frac{Price\ of\ package}{Weight\ of\ package}$

Unit rate per ounce = $\frac{8.35}{32} = \$0.26$

The unit price per ounce at Price club is $0.29 and the unit price per ounce at Shop Mart is $0.26

Keywords: unit rate, division

Learn more about division at:

#LearnwithBrainly

5 0

3 years ago

Find the measurement

Igoryamba

Answer:

RS = 2.4 cm

Step-by-step explanation:

given:

ST = 1.6cm

RT = 4 cm

RS + ST = RT

plugin values into the equation:

RS + 1.6 = 4

RS = 4 - 1.6

RS = 2.4 cm

3 0

3 years ago

An ice cream shop has 15 different toppings for sundaes, and it is running a special for 3 free toppings. How many 3-topping sun

marishachu [46]

Answer:

B. 455

Step-by-step explanation:

The order in which the toppings are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

3 toppings from a set of 15. So

$C_{15,3} = \frac{15!}{3!(15-3)!} = 455$

455 3-topping sundaes can be made.

7 0

3 years ago