Opposites are also called blank and have a sum of

Natali [406]

E. 5x^2 - 10= 0; 5(x^2 - 2)= 0; x^2= 2; x = √2

f. x^2 - x=0; x(x -1)= 0; x = 0, x= 1

g. 4x^2 + 4x= 0 ; 4x( x + 1) = 0; x = 0, x = -1

h. -x^2 + x = 0; -x(x - 1)= 0; x = 0, x = 1

4 0

3 years ago

Write an expression for double the product of c and b

lapo4ka [179]

Answer:

2bc

Step-by-step explanation:

The product of c and b means c X b. However, in algebra, we typically miss out the X (multiply) symbol. We also like to put letters in alphabetical order. So this means the product of c and b is written as bc.

Then, to double a number, this just means to multiply by 2.

so we have 2Xbc. But, again, we don't write in the multiply symbol. We also put numbers in front of letters.

So this becomes 2bc.

4 0

3 years ago

Create two whole number division problems that have a quotient of 9 and a remainder of 5. Justify which is greater using decimal

Setler [38]

59 ÷ 6 = 9 R 5
86 ÷ 9 = 9 R 5.

Because division can also be expressed as a decimal:

59/6 = 9.833
86/8 = 9.556

So, 59 ÷ 6 is greater.

5 0

3 years ago

Plz help I'm and dead confused

boyakko [2]

<h3>Answer: Choice D</h3>

Domain: {-3, -1, 2, 4, 6}

Range: {-2, 1, 2, 4, 6}

===========================================

Explanation:

The domain is the set of possible x values of a relation or function. To form the domain, we just list out the x coordinates of each point

Point A is located at (-3, 4) so the x coordinate x = -3 is part of the domain

Point B is at (-1,1) meaning x = -1 is also part of the domain

And so on. Doing this for all five points leads to the list of x coordinates {-3,-1,2,4,6} which is the domain.

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

The range is a similar story, but we look at the y coordinates now. Point A has y coordinate 4, so y = 4 is part of the range.

Point B has y coordinate y = 1, so that is also part of the range.

The range is {-2, 1, 2, 4, 6} representing all of the possible y values of this relation.

With any set, the order does not matter. Though convention is to list the items from smallest to largest.

6 0

3 years ago

An attendant at a car wash is paid according to the number of cars that pass through. Suppose that following payments are made w

QveST [7]

Answer:

$E(X) = 7*0.18 +9*0.08 +11*0.09 +15*0.08 +17*0.41 =13.22$

And we can find the second moment with this formula:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = 7^2*0.18 +9^2*0.08 +11^2*0.09 +15^2*0.08 +17^2*0.41 =189.72$

And we can find the variance like this:

$Var(X) = E(X^2) -[E(X)]^2= 189.72- (13.22)^2 =14.9516$

And the deviation would be:

$Sd(X)= \sqrt{14.9516}= 3.867$

Step-by-step explanation:

For this case we have the following dataset given:

Payment $7 $9 $11 $13 $15 $17

Probability 0.18 0.08 0.09 0.16 0.08 0.41

For this case we can calculate the mean with this formula:

$E(X) = \sum_{i=1}^n X_i P(X_i)$

And replacing we got:

$E(X) = 7*0.18 +9*0.08 +11*0.09 +15*0.08 +17*0.41 =13.22$

And we can find the second moment with this formula:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = 7^2*0.18 +9^2*0.08 +11^2*0.09 +15^2*0.08 +17^2*0.41 =189.72$

And we can find the variance like this:

$Var(X) = E(X^2) -[E(X)]^2= 189.72- (13.22)^2 =14.9516$

And the deviation would be:

$Sd(X)= \sqrt{14.9516}= 3.867$

3 0

3 years ago