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maksim [4K]
2 years ago
8

Which equation yields the solutions x=−3 and x=−4?

Mathematics
1 answer:
Elza [17]2 years ago
5 0

Answer:

a) 2x² + 14x + 24 = 0

Step-by-step explanation:

a)

2x² + 14x + 24 = 0

2(x + 4) (x + 3) = 0

x = -4 or x = -3

b)

x² - 6x + 5 = 0

(x - 1)(x - 5) = 0

x = 1 or x = 5

c)

3x² + 30x + 48 = 0

3 (x + 8) (x + 2) = 0

x = -8 or x = -2

d)

-3x² - 12x + 15 = 0

-3 (x + 5) (x - 1) = 0

x = -5 or x = 1

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PLEASE HELP!!!!
Allushta [10]
Intersection (repeated element in the set)

A={-9,0,5}
B={0,2,5,8}
C={-9,2,5}

Ans: C, {5}

*In set B and C, element 2 was repeated but not for set A.
6 0
3 years ago
Read 2 more answers
A food company sells salmon to various customers. The mean weight of the salmon is 37 lb with a standard deviation of 2 lbs. The
brilliants [131]

Answer:

The standard deviation for the mean weigth of Salmon is 2/3 lbs for restaurants, 2/7 lbs for grocery stores and 1/4 lbs for discount order stores.

Step-by-step explanation:

The mean sample of the sum of n random variables is

\overline{X} = \frac{X_1+X_2+...+X_n}{n}

If X_1, ..., X_n are indentically distributed and independent, like in the situation of the problem, then the variance of X_1 + .... + X_n will be the sum of the variances, in other words, it will be n times the variance of X_1 .

However if we multiply this mean by 1/n (in other words, divide by n), then we have to divide the variance by 1/n², thus \overkine{X} = \frac{V(X_1)}{n} and as a result, the standard deviation of \overline{X} is the standard deviation of X_1 divided by \sqrt{n} .

Since the standard deviation of the weigth of a Salmon is 2 lbs, then the standard deviations for the mean weigth will be:

  • Restaurants: We have boxes with 9 salmon each, so it will be \frac{2}{\sqrt{9}} = \frac{2}{3}
  • Grocery stores: Each carton has 49 salmon, thus the standard deviation is \frac{2}{\sqrt{49}} = \frac{2}{7}
  • Discount outlet stores: Each pallet has 64 salmon, as a result, the standard deviation is \frac{2}{\sqrt{64}} = \frac{1}{4}

We conclude that de standard deivation of the mean weigth of salmon of the types of shipment given is: 2/3 lbs for restaurants, 2/7 lbs for grocery stores and 1/4 lbs for discount outlet stores.

7 0
2 years ago
Please help
Varvara68 [4.7K]

Answer:

$6 = cost of small box

$8 = cost of large box

Step-by-step explanation:

Let s = cost of small box

     l  = cost of large box

(1)    12s + 3l = 96            (2)     6s + 6l = 84

    Multiply by -2                    <u> -24s - 6l = -192</u>

                                                -18s   = - 108

                                                     s = $6 = cost of small box

      12(6) + 3l = 96

         72 + 3l = 96

                 3l = 24

                   l = $8 = cost of large box

7 0
2 years ago
When performing a horizontal analysis on an income​ statement, the percentage change in any individual item is calculated by div
oksian1 [2.3K]

Answer: <em><u>C. the base period amount.</u></em>

<u><em>Explanation: </em></u>While implementing a horizontal analysis on a given income statement, we compute a percentage change in any individual item by dividing the dollar amount of change from base to current  time period with <u><em>the base period amount.</em></u>

i.e. % Change in Individual item = \frac{Current\ Dollar\ - Base\ Dollar }{Base \ period \ amount}

<u><em>Therefore, the correct option in this case is (c)</em></u>

4 0
2 years ago
What is the value of 7P3 ? A. 21 B. 35 C. 210 D. 840<br><br> i think a but idk
Aleksandr [31]
The answer is C.
Here's why, nPr = n!/(n-r)!. Plug in 7 for n and 3 for r. And you get 7!/(7-3)!.
Thus, 7!/4! = (7*6*5*4*3*2*1)/(4*3*2*1), which simplifies to 7*6*5 = 210
6 0
3 years ago
Read 2 more answers
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