find the value of given expression

[tex] \sqrt{564 \times 564} [/tex]


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Answer:

The equation which reveals the minimum value for the equation is  2·x² + 12·x - 14 = 0 is the option;

2·(x + 3)² = 32

Step-by-step explanation:

The given function can be presented as follows;

2·x² + 12·x - 14 = 0

The quadratic equation in standard form is a·(x - h)² + k

Where;

(h, k) is the vertex of the parabola

Given that the coefficient of the x² is positive, the graph is U-shaped and the lowest point is given by the vertex of the graph as follows;

2·x² + 12·x - 14 = 2·x² + 12·x - 14 = 2·(x² + 6·x - 7) = 0

2·(x² + 6·x - 7) = 2·(x² + 6·x + 9 - 7 - 9) = 2·((x + 3)² - 16)

2·((x + 3)² - 16) = 2·(x + 3)² - 32 = 0

∴ 2·x² + 12·x - 14 = 2·(x + 3)² - 32 in vertex form

The minimum value (vertex, (h, k)) for the equation = (-3, -32)

Therefore, the equation which reveals the minimum value for the equation is 2·(x + 3)² = 32

Answer:

2(x + 3)2 = 32

Step-by-step explanation:

I took the test.

Answer:

the answer is B

Step-by-step explanation:

Answer:

The height of the bridge is 71.47 m.

Step-by-step explanation:

Since the eye of the surveyor is 1.45m creating the horizontal distance, we must add the 1.45 m to the 70.02 m to determine the total height of the bridge.

70.02 m + 1.45 m = 71.47 m

The height of the bridge is 71.47 m.

Answer:

JM = 20

Step-by-step explanation:

Find the value of JM

Using similar triangles;

MJ/HN = GJ/HK

GJ+JM/HN = GJ/HK

15+JM/12+16 = 15/12

15+JM/28 = 15/12

Cross multiply

12(15+JM) = 15*28

180+12JM = 420

12JM = 420 - 180

12JM = 240

JM = 240/12

JM = 20

Hence the length of JM is 20

Answer:

I'm sorry i don't know this right here

Step-by-step explanation:

Answer:

583 student tickets

Step-by-step explanation:

This question is likely asking us to set up a system of equations. Let us say that:

x represents the number of student tickets  

y represents the number of non-student tickets

We know that there were a total of 874 tickets sold, so:

x + y = 874

We also know that every student ticket was sold for $3 and every non-student ticket was sold for $7. We also know the total sales, so:

3x + 7y = 3786

These are our two equations. We can use substitution to solve for the number of student tickets, x:

x + y = 874

y = 874 - x

3x + 7y = 3786

3x + 7(874 - x) = 3786

3x + 6118 - 7x = 3786

-4x = -2332

x = 583 student tickets

Answer:

74°?

Step-by-step explanation:

180° = 7x+26

x = 22°

Answer:

y=0

Step-by-step explanation:

bc if you graph y=0 its parallel to y=4

Answer:

B

Step-by-step explanation:

To test a circuit he does not need to gather opinions

Answer:

b

Step-by-step explanation:

Answer: 113  : 256

Step-by-step explanation:

There are 113 people to receive a paid vacation every year against a total number of 256 employees.

The ratio is therefore:

113  : 256

113 is a prime number so this is the lowest form this ratio can take.

Answer: $6,400

Step-by-step explanation:

First, let's take the given numbers

Starts the account with $1600

Deposits $200 each week after opening it

25 weeks

We can't count the first week because it says "thereafter"

So we need to do 24x200

which is 4,800

Now we must add the original amount deposited and the amount of money added in 25 weeks

1,600+4,800

$6,400

Answer:

its 0

Step-by-step explanation:

Answer:

204 ft^2

Step-by-step explanation:

triangle on the left:

A= l x w x 1/2

A = 12 x 5 x 1/2

A = 30 ft^2

triangle on the right:

Same thing

A = 30 ft^2

square in the middle:

A = l x w

A = 12 x 12

A = 144 ft^2

Add them up:

30 + 30 + 144 = 204 ft^2

Answer:

$804

Step-by-step explanation:

33%=0.33----Covert the percentage as a decimal.

0.33*1200=396----Multiply the decimal by the price of budget. This is the cost of equipment.

$1200-$396=$804----Subtract the cost of equipment ($396) by the cost of budget($1200). You get $804!

Hope this helped.

Answer:

804

Step-by-step explanation:

what the other person said

Answer:

Step-by-step explanation:

y

=

4

−

2

x

Answer:

$136

Step-by-step explanation:

$42.50 divided by 5= 8.5 per pizza

So you do 8.5x16 pizzas to get $136 for 16 pizzas.

Answer:

50 in. 48 in. 14 in.

Step-by-step explanation:

Answer:

y = 7/8x

Step-by-step explanation:

...................

Answer:

Step-by-step explanation:

Answer:

x = 5 (i think)

so diana would have $0.25 left

Answer:

4 a + 2 a^2 - 8 a^3 + 3 a^2 b - 12

Step-by-step explanation:

Simplify the following:

3 (b a^2 - 4) + a (-8 a^2 + 2 a + 4)

Hint: | Distribute a over -8 a^2 + 2 a + 4.

a (-8 a^2 + 2 a + 4) = -8 a^3 + 2 a^2 + 4 a:

-8 a^3 + 2 a^2 + 4 a + 3 (b a^2 - 4)

Hint: | Distribute 3 over a^2 b - 4.

3 (a^2 b - 4) = 3 a^2 b - 12:

Answer: 4 a + 2 a^2 - 8 a^3 + 3 a^2 b - 12

Answer:

x = -8

Step-by-step explanation:

Answer:

p+37 = 2p-50

87

m<I=124

Step-by-step explanation:

Answer:

x=2, y=4. (2, 4).

Step-by-step explanation:

2x+3y=16

3x+4y=22

---------------

3(2x+3y)=3(16)

-2(3x+4y)=-2(22)

--------------------------

6x+9y=48

-6x-8y=-44

------------------

y=4

2x+3(4)=16

2x+12=16

2x=16-12

2x=4

x=4/2

x=2

Answer: y= 2/5 * x - 6

Step-by-step explanation:

y intercept

y= 2/5 x+b putting in the point 5,4

y=2/5 5+ b

4=10+b

b= -6

Answer: $119

Step-by-step explanation:

Let's take this equation

85(n)

n will equal 1.40 as the price mark up is 140%

85(1.40)

$119

Answer:

1 up and 1 to the side

Step-by-step explanation: