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Ilya [14]
3 years ago
15

How many elements are in the set (a,b, c.?

Mathematics
1 answer:
diamong [38]3 years ago
5 0
There are three elements in that set.
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Solve x2 + 4x − 4 = 0
hoa [83]

Answer:

third option

Step-by-step explanation:

Given

x² + 4x - 4 = 0 ( add 4 to both sides )

x² + 4x = 4

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 4 + 4, that is

(x + 2)² = 8 ( take the square root of both sides )

x + 2 = ± \sqrt{8} = ± 2\sqrt{2} ( subtract 2 from both sides )

x = - 2 ± 2\sqrt{2}

7 0
3 years ago
Read 2 more answers
Olivia is making lunch. She uses 1 3/8 pounds of carrots in soup. She uses 4/5 pound of carrots in a salad. About how many pound
cestrela7 [59]

Answer:

2 7/40 Carrots

About 2 Carrots

1 3/8+4/5 = 1 15/40+32/40 = 1 47/40 = 2 7/40

3 0
3 years ago
The first two terms in an arithmetic progression are -2 and 5. The last term in the progression is the only number in the progre
Rudik [331]

Given:

The first two terms in an arithmetic progression are -2 and 5.

The last term in the progression is the only number in the progression that is greater than 200.

To find:

The sum of all the terms in the progression.

Solution:

We have,

First term : a=-2

Common difference : d = 5 - (-2)

                                      = 5 + 2

                                      = 7

nth term of an A.P. is

a_n=a+(n-1)d

where, a is first term and d is common difference.

a_n=-2+(n-1)(7)

According to the equation, a_n>200.

-2+(n-1)(7)>200

(n-1)(7)>200+2

(n-1)(7)>202

Divide both sides by 7.

(n-1)>28.857

Add 1 on both sides.

n>29.857

So, least possible integer value is 30. It means, A.P. has 30 term.

Sum of n terms of an A.P. is

S_n=\dfrac{n}{2}[2a+(n-1)d]

Substituting n=30, a=-2 and d=7, we get

S_{30}=\dfrac{30}{2}[2(-2)+(30-1)7]

S_{30}=15[-4+(29)7]

S_{30}=15[-4+203]

S_{30}=15(199)

S_{30}=2985

Therefore, the sum of all the terms in the progression is 2985.

6 0
3 years ago
What is the approximate 47? Give your answer and explain why it is correct. HELP
a_sh-v [17]

Answer:

7

Step-by-step explanation:

7 is approximate to \sqrt{47} because 7 is \sqrt{49}, and 49 is close to 47

3 0
3 years ago
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3(x+3)-5x simplify<br> Answer
Lelu [443]

Answer: -2x + 9

First, Use the distributive property: 3(x+3)-5x       (3 multiplied by x is 3x and 3 multiplied by 3 is 9

Next, subtract the variable x: 3x+9-5x      (3x-5x=-2x

The answer is -2x+9

7 0
2 years ago
Read 2 more answers
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