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Tanzania [10]
3 years ago
8

PLEASE HELP ASAP

Mathematics
2 answers:
krek1111 [17]3 years ago
6 0

Answer:

the second option 2a-6b+c

MrRa [10]3 years ago
6 0

Answer:

2a - 6b + c

Step-by-step explanation:

(a+a)(-5b-b)(2c-c)

2a-6b+c

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Determine the domain of the function f(x)=1/3x^2+10x+8
cricket20 [7]
The function is
f(x) = (1/3)x² + 10x + 8

Write the function in standard form for a parabola.
f(x) = (1/3)[x² + 30x] + 8
      = (1/3)[ (x+15)²- 225] + 8
      = (1/3)(x+15)² -75 + 8
f(x) = (1/3)(x+15)² - 67

This is a parabola with vertex at (-15, -67).
The axis of symmetry is x = -15
The curve opens upward because the coefficient of x² is positive.
As x -> - ∞, f -> +∞.
As x -> +∞, f -> +∞
The domain is all real values of x (see the graph below).

Answer: The domain is (-∞, ∞)

8 0
3 years ago
Find the mean, median, and mode(s) of the data. Choose the measure that best represents the data. Explain your reasoning. Find t
Kazeer [188]

Answer:

Mean: 17

Median: 16

Mode: 10

Step-by-step explanation:

8, 10, 10, 11, 16, 17, 19, 21, 41

Median: (the middle number in the number list/data set) 16

Mode: 10

Mean: 8 + 10 + 10 + 11 + 16 + 17 + 19 + 21 + 41 = 153/9 = 17

3 0
3 years ago
A​ cold-water faucet can fill a sink in 1212 ​min, and a​ hot-water faucet can fill it in 1515 min. The drain can empty the sink
sweet-ann [11.9K]

Answer:

9.1 minutes.

Step-by-step explanation:

Let t represent time taken to fill the tank.

We have been given that a cold water faucet can fill a sink in 12 ​min, so the part of sink filed in 1 minute would be \frac{1}{12}.

The hot-water faucet can fill it in 15 min, so the part of sink filed in 1 minute would be \frac{1}{15}.

The drain can empty the sink in 25 min, so the part of drain emptied in 1 minute would be \frac{1}{25}.

The part of 1 full tank filled in t minutes, when both faucets are on and the drain is​ open would be:

(\frac{1}{12}+\frac{1}{15}-\frac{1}{25})t=1

Make a common denominator:

(\frac{1*25}{12*25}+\frac{1*20}{15*20}-\frac{1*12}{25*12})t=1

(\frac{25}{300}+\frac{20}{300}-\frac{12}{300})t=1

(\frac{25+20-12}{300})t=1

\frac{33}{300}t=1

\frac{11}{100}t=1

\frac{100}{11}\times \frac{11}{100}t=\frac{100}{11}\times1

t=\frac{100}{11}

t=9.0909

t\approx 9.1

Therefore, it will take 9.1 minutes to fill the sink.

4 0
3 years ago
Giovanni was playing with blocks and started with one blue triangular block and kept adding more
raketka [301]

Blocks would he need on the 12th step of the pattern is 34.

The correct option is A

<h3></h3><h3>What is series?</h3>

A series is the cumulative sum of a given sequence of terms.

Given:

We can write the series as follows:

1,4,7,10,13,.......

First term =1

common difference= 4-1=3

Using Arithmetic series

a_{12}\\= a+11d

    =  1 +11*3

    = 1+33

    = 34.

Hence, 34 blocks need on 12th step.

Learn more about arithmetic series here:

brainly.com/question/2171130

#SPJ1

7 0
2 years ago
orlando harvested 5/10 of the crop in the morning. later he harvested 1/7 of the crop. how much more was harvested in the mornin
Liula [17]
25/70      1/7 *5/10 = 45/70  45 +25 =70
5 0
3 years ago
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