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3 years ago

If the square below is enlarged by a scale factor of 2, what will be the area of the new square?

Mathematics

1 answer:

lutik1710 [3]3 years ago

4 0

Answer:

There is no square picture attached.

SEE BELOW FOR MORE

Step-by-step explanation:

Although, the area will be multiplied by 4.

For example, if the side values are 2,

The area is 4.

But if we enlarge it by a scale factor of two, the side values will be 4.

The area will be 16.

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Given a table of values of a quadratic function, which of the following do you absolutely need in order to find its equation? *

nadya68 [22]

Answer:

The general form of a quadratic function is --> y = ax2 + bx + c

Since (0, -2) exists for the function, we can plug in those values:

-2 = a(0)2 + b(0) + c

-2 = 0 + 0 + c

-2 = c

So now our function so far is --> y = ax2 + bx - 2

We have two pairs of coordinates left: (-1, -8) and (3, -8).

First, plug in the first pair and simplify as much as you can:

-8 = a(-1)2 + b(-1) - 2

-8 = a - b - 2 ( add 2 to both sides )

-6 = a - b (stop here because we can't go further)

Second, plug in the second pair and simplify as much as you can:

-8 = a(3)2 + b(3) - 2

-8 = 9a + 3b - 2 ( add 2 to both sides )

-6 = 9a + 3b (stop here because we can't go further)

Now we have these two equations left:

a - b = -6

9a + 3b = -6

Now we solve for a and b using systems of equations, using one of three ways:

substitution

elimination

graphing (not my favorite, but it is doable)

Using substitution:

a - b = -6 can be rewritten as a = b - 6

plug into the second equation and solve for b

9(b - 6) + 3b = -6 (distribute the 9)

9b - 54 + 3b = -6 (combine all of the b's)

12b - 54 = -6 (add 54 to both sides)

12b = 48 (divide by 12 on both sides to isolate b)

b = 4

plug b into one of the original two equations

a - 4 = -6 (add 4 to both sides)

a = -2

The quadratic equation for this table is y = -2x2 + 4b - 2

6 0

3 years ago

4(2 + 6v) You don't have to work t out if you don't want to.

shtirl [24]

8+24v you need to show your work so here

3 0

4 years ago

A farmer is planting some marigolds in a row. The row is 2 yards long. The flowers must be spaced ⅓ yard apart so they will have

Mrac [35]

Answer:

Step-by-step explanation:

8 0

3 years ago

The TV repairman charges $40 to come out to your house and check the TV

sergeinik [125]

Answer:

The equation to find the cost of repairing a TV is:

y = 25x + 40

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

$y=mx+b$

where m is the slope or rate of change and b is the y-intercept

Given that the TV chairman charges $40 to come out to your house and check the TV plus $25 per hour of labor.

It means $40 is the y-intercept because it represents the starting point/condition of the repairman.

Let 'x' be the number of hours and y be the cost.

The rate of change = 25$ per hour of labor

The rate of change can also be termed as the slope.

Thus, m = 25

Hence, the slope-intercept form of the line equation becomes

y = mx+b

substituting m = 25 and b=40

y = 25x + 40

Therefore, the equation to find the cost of repairing a TV is:

y = 25x + 40

Validation:

y = 25x + 40

putting x = 1 to determine the cost if labor works for 1 hour.

y = 25(1) + 40 = $65

putting x = 2 to determine the cost if labor works for 2 hours.

y = 25(2) + 40 = $95

4 0

3 years ago

The energy saving from recycling one glass bottle will power the oven Adam uses to cook the turkey for 7.5 minutes.

Aleksandr [31]

Energy from 1 bottle last 7.5 min

1 glass cost = 2.5 $
Since it cost 5$ for 1 kg and the bottle weight 1/2 kg

6*60 =360 min ( is in 6 hours)

2.5/? =7.5/360

? = 120 $

8 0

3 years ago