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4 years ago

Solve the equation by completing the square: z^2 - 2z = 323

Mathematics

1 answer:

xz_007 [3.2K]4 years ago

3 0

Answer: A. -17 , 19

Step-by-step explanation:

Move all terms to one side.

z^2-2z-323=0

z^2 −2z−323=0

Factor : z^2-2z-323

z^2−2z−323.

(z-19)(z+17)=0(z−19)(z+17)=0

Solve for z.

z=19,−17

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The sequence is recursive. find the value of the next term in the sequence. 8, 10, 12, 14, . . .

Mars2501 [29]

It's an arithmetic progression with first term = 8 and common difference d =2:
so the next term is 14 + 2 = 16

8 0

3 years ago

Here are ten numbers

ser-zykov [4K]

Solution,

Given data=3, 7 , 2 , 4, 7, 5, 7, 1, 8, 8

a.Mode= 7 because it has more frequency in comparison to others.

b.Arranging the data in ascending order:

: 1,2,3,4,5,7,7,7,8,8

N(total number of items)=10

Median=(N+1/2)th item

 = (10+1/2)th item

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 = 5.5th item

Again,

5th item+6th item/2

 = 5+7/2

=12/2

= 6

c. summation FX=52

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Mean= summationfx/N

 =52/10

 =5.2

D. Range= highest score- lowest score

 = 8-1

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Hope it helps

Good luck on your assignment

4 0

4 years ago

Read 2 more answers

Im dumb could somebody help me pleaseeeeeee

Dvinal [7]

Answer:

1. (6-2)

2.40/4

3. 10-4

Step-by-step explanation:

Dont trust me but I think it

6 0

3 years ago

Read 2 more answers

What is the range of values for X?

guajiro [1.7K]

Answer:

6 < x < 30

Step-by-step explanation:

By the Hinge Theorem, we know that

Angle BAC > Angle DAC

The two triangles that make the diamond have two equal sides. The third side of the upper triangle is longer than the third side if the lower triangle. To fit in the longer side, line AB had to be pushed outwards, forming a larger angle.

When we compare the two angles 48 and (2x-12), we now know that 48 is larger.

48 > 2x-12

48+12 > 2x

60 > 2x

60/2 > x

x < 30

Furthermore, angle DAC can't be negative or zero

2x - 12 > 0

2x > 12

x > 6

4 0

3 years ago

Read 2 more answers

Casey orders 3 pizzas and 2 orders of breadsticks for a total of $29.50. Rachel orders 2 pizzas and 3 orders of breadsticks for

saveliy_v [14]

The cost of one pizza is $8.5

Step-by-step explanation:

Let,

Cost of one pizza = x

Cost of one bread stick = y

According to given statement;

3x+2y=29.50 Eqn 1

2x+3y=23 Eqn 2

Multiplying Eqn 1 by 2

$2(3x+2y=29.50)\\6x+4y=59\ \ \ Eqn\ 3$

Multiplying Eqn 2 by 3

$3(2x+3y=23)\\6x+9y=69\ \ \ Eqn\ 4$

Subtracting Eqn 3 from Eqn 4

$(6x+9y)-(6x+4y)=69-59\\6x+9y-6x-4y=10\\5y=10$

Dividing both sides by 5

$\frac{5y}{5}=\frac{10}{5}\\y=2$

Putting y=2 in Eqn 1

$3x+2(2)=29.50\\3x+4=29.50\\3x=29.50-4\\3x=25.5$

Dividing both sides by 3

$\frac{3x}{3}=\frac{25.5}{3}\\x=8.5$

The cost of one pizza is $8.5

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

7 0

3 years ago