Use the rational exponent property to write an equivalent expression for

What is the square root of 64y16?<br> 4y4<br> 4y8<br> 8y4<br> 8y8

GenaCL600 [577]

Answer:8y4 is the answer

Step-by-step explanation:

This is because the square root of 64 is 8 and the square root of y is y because is the same as 1y and the square root of 16 is 4.

5 0

3 years ago

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Julio plans a diet to gain 0.2 kg a day. After 14 days he weighs 40 kg. Write an equation in slope intercept form to model the s

vodomira [7]

Answer:

$y=0.2x+37.2$

Step-by-step explanation:

Julio plans to gain 0.2 kg a day, so the rate of increase of weight is 0.2 kg per day.

The slope intercept form of an equation can be written as,

$y=mx+c$

In our case, 'y' is the total weight, 'x' is the number of days, 'm' is the slope and 'c' is the initial weight.

It is found out that after 14 days he weighs 40 kg. So over 14 days Julio must have gained,

$14 \times 0.2 = 2.8 kg$ because he is gaining 0.2 kg per day after the diet plan. So initially (14 days ago) Julio weighed,

$40-2.8 = 37.2 kg$

Now, we know the slope that is rate of change and that is 0.2 kg per day. We can form the equation as,

$y = 0.2x+37.2$

As we have already defined that 'y' is the final weight, 'x' is the number of days and 'c' (37.2) is the initial weight of Julio.

So the required equation is, $y = 0.2x+37.2$ .

5 0

3 years ago

Please help we’ve been stuck in this for a while

In-s [12.5K]

If you plug in 5 for x, the radical ends up being (5-1) which is 4. The square root of 4 is 2, and the plus/minus symbol means the possible answers are 2 OR -2. When you plug in 1 for x the radical becomes (1-1) or zero. The square root of 0 is zero, and plus/minus zero are the same. This IS NOT a function because for x=10 and x=5, there are TWO DIFFERENT y values (each “x” can only have one y in a function)

6 0

4 years ago

The product of 3 consecutive even integers is equal to the cube of the first plus the square of the second plus twice the square

algol [13]

Answer:

6, 8 and 10 and -2, 0, 2

There are two roots x = -2 and 6,

but the since I don't believe 0 is an even number the answer is 6, 8 and 10

I was incorrect according to G0ggle zero is an even number so another answer is -2, 0, 2

Step-by-step explanation:

read the question and convert the English to mathematics

x, y and z even consecutive number

y = x+2

z = y+2 = x+4

and

xyz = x³ + y² + 2z² substitiute x terms in for y and z

x(x+2)(x+4) = x³ + (x+2)² + 2(x+4)² solve for x by graphing on DEMOS

x = -2, 6 solved algebraically below

x = -2 y=0 z=2

x = 6 y=8 z=10

Checked both answers

xyz = x³ + y² + 2z²

-2(0)2 = -8 + 0 + 8 when x = -2

0 = 0

and

6(8)(10) = 6³ + 8² +2(10)² when x = 6

480 = 216+64+200

= 480

x(x+2)(x+4) = x³ + (x+2)² + 2(x+4)² solved algebraically

(x²+2x)(x+4) = x³ + x² +4x +4 + 2x² + 16x + 32

x³ + 6x² + 8x = x³ + x² +4x +4 + 2x² + 16x + 32

x³ + 6x² + 8x = x³ + 3x² + 20x + 36

3x² - 12x - 36 = 0 factor out the 3

3[x² - 4x - 12] = 0

3(x+2)(x-6) = 0 x = -2 and -12

6 0

3 years ago

Most banks advertise what?

blondinia [14]

Answer:

Promoting a bank requires convincing consumers to trust a bank with their money and make customers feel like they are getting the most value for their money. Once customers invest with a bank, the bank must work to keep customers and get them to buy-in to additional products.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers