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Veseljchak [2.6K]
3 years ago
6

Select all of the following that are quadratic equations. x3 - 4x2 + 3 = 0 x - 9 = 0 3x2 + 12x = 0 x2 + 9x -7 = 0 x2 - x = 8x +

2 x - 2 = 3x + 9
Mathematics
1 answer:
nika2105 [10]3 years ago
8 0

The quadratic equations:

3x^2+12x=0\\\\x^2+9x-7=0\\\\x^2-x=8x+2

The cubic equation: x^3-4x^2+3=0

The linear equations:

x-9=0\\x-2=3x+9

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Write the series using summation notation.<br><br> 4 + 8 + 12 + 16 + 20+ . . . + 80
zhannawk [14.2K]

Answer:

\sum ^{20} _{n \to \11} 4n

Step-by-step explanation:

In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;

4, 8, 12, 16, 20...80

The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d

a is the first term = 4

d is the common difference = 21-8 = 8-4 = 4

n is the number of terms

On substituting, Tn = 4+(n-1)4

Tn = 4+4n-4

Tn = 4n

The nth term of the series is 4n.

Since the last term is 80, L = 4n

80 = 4n

n = 80/4

n = 20

This shows that the total number of terms in the sequence is 20

According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;

4 + 8 + 12 + 16 + 20+ . . . + 80  = \sum ^{20} _{n \to \11} 4n

4 0
3 years ago
5x +7 y=-17<br> 4x – 3y = -5<br> Substitute.
Bond [772]

Answer:

(x,y) = (-2, -1)

Step-by-step explanation:

We start off by substituting the value of "x".

5x+7y=-17

x=-\frac{5}{4} + \frac{3}{4}y

We then solve 55(-\frac{5}{4}+\frac{3}{4}y ) +7y= -17

y=-1 *Substitute the value of "y"

x= --\frac{5}{4}+\frac{3}{4}x(-1)

x=-2

\left \{ {{-17=-17} \atop {-5=-5}} \right. This works.

5 0
3 years ago
Translate the sentence into an equation. The sum of 3 times a number and 7 is 19.
klemol [59]
D. Because you're multiplying 3 by a number which is what the variable represents (n), then you're just adding 7 to that which equals 19 all together. It all translates to 3n+7=19.

7 0
3 years ago
Someone please help me!!!
kap26 [50]
Length of side CD is 32
7 0
3 years ago
Entomologists estimate that an average person consumed almost a pound of bug parts each year. There are that many insect eggs, l
gregori [183]

Answer:

0.9797

Step-by-step explanation:

We have X = number of insects in the 25bgrams of butter

Then the legal limit of concentration in peanut butter = 30 fragments/ 100 grams

Then insect amount in 25 grams =

E(X) = 30/100 x 25

= 0.3 x 25

= 7.5 fragments of insects

Using the poisson function in Excel, the probability of at least 3 crunchy critters

1 - p(X<=2)

p(X<=2) = POISSON (2, 7.5, TRUE) = 0.020156715

1 - 0.020156715

= 0.9797

7 0
3 years ago
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