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3 years ago

Which expressions are equivalent to the given expression?

Mathematics

2 answers:

Mekhanik [1.2K]3 years ago

6 0

(y^-8)(y^3)(x^0)(x^-2)

(y^-8)(y^3)(x^-2)

(y^-5)(x^-2)

(1) / (y^5)(x^2)

Options 3 and 5 are correct

Hope this helps!

gizmo_the_mogwai [7]3 years ago

5 0

Answer: Choice C. $\frac{1}{x^{2}y^{5} }$ and Choice E. $x^{-2} y^{-5}$

Step-by-step explanation:

Algebraic exponents.

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If the data point is at (3, 10.5) and the prediction equation is y = -6.1x + 12.5, what is the value of the residual for this da

Keith_Richards [23]

Given:

The data point is (3,10.5).

The prediction equation is $y=-6.1x+12.5$ .

To find:

The value of the residual for this data point.

Step-by-step explanation:

The data point is (3,10.5). So, the actual value is 10.5 at $x=3$ .

Prediction equation is

$y=-6.1x+12.5$

Putting $x=3$ , we get

$y=-6.1(3)+12.5$

$y=-18.3+12.5$

$y=-5.8$

The formula for residual is:

Residual = Actual value - Expected value

$Residual=10.5-(-5.8)$

$Residual=10.5+5.8$

$Residual=16.3$

Therefore, the residual for the given data point is 16.3.

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3 years ago

Find the volume of the rectangular prism.

erastovalidia [21]

Answer:

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5 0

3 years ago

Which statements are true about the ordered pair (5, −6) and the system of equations? {x+y=−1 3x−y=21 Select each correct answer

Likurg_2 [28]

The correct options are:

The ordered pair (5, −6) is a solution to the first equation because it makes the first equation true.

The ordered pair (5, −6) is not a solution to the system because it makes at least one of the equations false.

Step-by-step explanation:

Given equations are:

$x+y=-1\\3x-y=21$

first of all we have to put the point in both equations to check if the point holds true on both equations

So,

Putting the point in the first equation

$x+y=-1\\5-6=-1\\-1=-1$

Putting the point in second equation

$3x-y=21\\3(5)-6=21\\15-6=21\\9\neq 21$

So,

The correct options are:

The ordered pair (5, −6) is a solution to the first equation because it makes the first equation true.

The ordered pair (5, −6) is not a solution to the system because it makes at least one of the equations false.

Keywords: Linear Equations, Solution

Learn more about linear equations at:

#learnwithBrainly

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3 years ago

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The temperature, T , of a given mass of gas varies inversely with its volume, V . The temperature of a certain gas with volume o

alekssr [168]

We know that

if t<span>he temperature T of a given mass of gas varies inversely with its volume V
</span>then
T=k/V

Step 1
Find the value of k
for T=30º C and V=105 cm³
we have
T=k/V--------> k=T*V--------> k=30*105=3150 °C*cm³

therefore
for V=84 cm³
T=3150/84=37.5 °C

the answer is 37.5 °C

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Seven more than twice his age is 51 in algaebric expression

kozerog [31]

7 + 2x = 51

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