B²+b=2 how to complete the square

Answers

Answer 1

Answer: b^2 + b = 2
b^2 + b + 1/4 = 2 + 1/4
(b + 1/2)^2 = 9/4
b + 1/2 = (+-) sqrt 9/4
b + 1/2 = (+-) 3/2

b = -1/2 + 3/2 = 2/2 = 1
b = -1/2 - 3/2 = -4/2 = -2

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Solve the Equation 70 = -7(-2 - 2z)
z = 4
z = -28
z = -112
z = 784

Answers

70 = -7 (-2 - 2z)

First, divide both sides by -7. / Your problem should look like: $(70)/(-7)$ = -2 - 2z
Second, simplify $(70)/(-7)$ to $- (70)/(7)$ / Your problem should look like: $-(70)/(7)$ = -2 - 2z
Third, simplify $(70)/(7)$ to get 10. / Your problem should look like: -10 = -2 - 2z
Fourth, add 2 to both sides. / Your problem should look like: -10 + 2 = -2z
Fifth, simplify -10 + 2 to get -8. / Your problem should look like: -8 = -2z
Sixth, divide both sides by -2. / Your problem should look like: $(-8)/(-2)$ = z
Seventh, simplify $(-8)/(-2)$ to $(8)/(2)$ / Your problem should look like: $(8)/(2)$ = z
Eighth, simplify $(8)/(2)$ to get 4. / Your problem should look like: 4 = z
Ninth, switch your problem around. / Your problem should look like: z = 4

Answer: z = 4

The solution of expression is,

⇒ z = 4

We have to give that,

An expression to solve is,

⇒ 70 = - 7 (- 2 - 2z)

Now, Simplify the expression as,

⇒ 70 = - 7 (- 2 - 2z)

Divide both sides by 7,

⇒ 70/ 7 = - 7 (- 2 - 2z)/7

⇒ 10 = - 1 (- 2 - 2z)

Apply distributive property,

⇒ 10 = 2 + 2z

Subtract 2 on both sides,

⇒ 10 - 2 = 2z

⇒ 2z = 8

Divide on both sides by 2,

⇒ z = 8/2

⇒ z = 4

Therefore, The solution is,

⇒ z = 4

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If f(x) = –5x – 4 and g(x) = –3x – 2, find (f – g)(x).A. (f – g)(x) = –5x + 3x – 2
B. (f – g)(x) = 5x – 3x + 2
C. (f – g)(x) = –2x – 2
D. (f – g)(x) = –5x – 3x – 6

Answers

(f – g)(x)=-2x-2. Therefore, option C is the correct answer.

The given functions are f(x) = –5x – 4 and g(x) = –3x – 2.

We need to find the value of (f – g)(x).

What is the function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Now, (f – g)(x)=–5x – 4-(–3x – 2)

=-5x+3x-4+2=-2x-2

Thus (f – g)(x)=-2x-2. Therefore, option C is the correct answer.

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Hello!

We'll start by simplifying the required formula. (f – g)(x) can be rewritten as the following:

f(x) – g(x)

Now insert any known values into the simplified formula above:

(-5x – 4) – (-3x – 2)

Eliminate the parentheses by simplifying:

-5x – 4 + 3x + 2

Combine like terms:

-2x – 2

We have now proven that (f – g)(x) is equal to (-2x – 2).

The correct answer is C.

I hope this helps!

PLEASE HELP! I DONT UNDERSTAND! 98 POINTS! AND I ALREADY HAVE THE GRAPH!!! A FedEx freight truck carries three tons of packages 660 miles on 90 gallons of diesel fuel from Miami, FL to Atlanta, GA. FedEx makes a graph to represent the miles per gallon the truck uses.What is the domain in this situation? explain you answer.

What does the origin of the graph represent in this situation? explain your answer

Answers

Answer:

See below

Step-by-step explanation:

Domain

The domain is the x value. They go alphabetically.

domain = x value

range = y value.

The domain for this situation is 0 to 90 gallons

domain: 0 ≤ x ≤ 90. The domain is between 0 and 90.

As the truck moves, each gallon of gas on the x axis moves it closer to it's destination 660 miles away (Atlanta Ga)

The slope of the graph is the rate of gas consumption. slope = miles / gallons.

slope = 660 / 90

slope = 7.33 miles per gallon. You are not asked for this but it might help you understand what the domain represents. Every gallon used in the domain allows you to travel another 7.33 miles.

Origin

The origin is (0,0). It means that the Fedex truck has not moved at all when the trip began. It has gone 0 miles and used 0 gallons of diesel fuel.

If you divide 660 by 90, we see that the unit rate for this graph is 7.333 repeating, or 7 1/3. So it shows the unit rate.

The domain is anything that can be divided by 7 1/3.

The origin of the graph represents the coordinates for every other point on the graph.

How do i solve each proportion?

Answers

You have to cross multiply (multiply the numerator of the first by the denominator of the second and the numerator of the second by the denominator of the first).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[19]

$(x+4)/(3) = (4)/(10)$

$10x+40=12$

$10x = -28$

$x=-2.8$

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[21]

$(4)/(n+8) = (10)/(8)$

$32 = 8n + 64$

$8n = -32$

$n=-4$

$19) (x + 4)/(3) = (4)/(10) \n \n x + 4 = (4)/(10) * 3 \n \n x = 1.2 - 4 = -2.8 \n \n x = -2.8 \n \n \n 20) (4)/(n+8) = (10)/(8) \n \n 32 = 8n + 64 \n \n 8n = 32 -64 = -32 \n \n 8n = -32 \n \n n = -4$

A bag contains 10 marbles, 5 red, 3 white and 2 blue. find the probabilities.a.two reds are drawn without replacement
b.two reds are drawn with replacement
c.a blue is drawn on the second, given the first was not blue and the drawing is done without replacement.

Answers

b two reds are drawn with replacement

What is the value of 3 to the power 2 over 3 to the power 4? A. 1 over 81 B. 1 over 27 C. 1 over 9 D. 1 over 3

Answers

Answer:

Option C is correct.

Step-by-step explanation:

Given Expression:

$(3^2)/(3^4)$

We need to find Value of given expression.

Consider,

$(3^2)/(3^4)$

$\implies3^(2-4)$

$\implies3^(-2)$

$\implies(1)/(9)$

Therefore, Option C is correct.

One way you could solve this is to just multiply the top and bottom out so that you get 9/81, reducing it by 9/9 to get 1/9 or option C.
Another way would be to do $3^((2-4))$ since dividing numbers with exponents would be subtracting the bottom exponent from the top exponent, provided that the base number (in this case 3) is the same for both. For this method, you would get $3^(-2)$ , which is equal to 1/9 or .1 repeating, the same answer that you'd get with the first method.

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