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ehidna [41]
2 years ago
14

Which expression represents "the sum of 5 and b divided by two

Mathematics
1 answer:
DIA [1.3K]2 years ago
5 0

Step-by-step explanation:

<u>Break down the word expression:</u>

The sum of 5 and b divided by two

the sum (+) of 5 and b (5 + b) divided by 2.

<u>Expression:</u>

\frac{(b + 5)}{2}

Parentheses represent that we need to add first, in order to divide the sum by 2.

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Which graph represents the solution<br><br>8 - 3x ≥ -4​
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3rd option

Step-by-step explanation:

8 - 3x ≥ - 4 ( subtract 8 from both sides )

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divide both sides by - 3 , reversing the symbol as a result of dividing by a negative quantity.

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1 year ago
The function ƒ(x) = (x − 1)^2 + 5 is not one-to-one. Find a portion of the domain where the function is one-to-one and find an i
melisa1 [442]

Answer:

f(x)=(x-1)^2+5 with domain x>1 and range y>5 has inverse g(x)=sqrt(x-5)+1 with domain x>5 and range y>1.

Step-by-step explanation:

The function is a parabola when graphed. It is in vertex form f(x)=a(x-h)^2+k where (h,k) is vertex and a tells us if it's reflected or not or if it's stretched. The thing we need to notice is the vertex because if we cut the graph with a vertical line here the curve will be one to one. So the vertex is (1,5). Let's restrict the domain so x >1.

* if x>1, then x-1>0.

* Also since the parabola opens up, then y>5.

So let's solve y=(x-1)^2+5 for x.

Subtract 5 on both sides:

y-5=(x-1)^2

Take square root of both sides:

Plus/minus sqrt(y-5)=x-1

We want x-1>0:

Sqrt(y-5)=x-1

Add 1 on both sides:

Sqrt(y-5)+1=x

Swap x and y:

Sqrt(x-5)+1=y

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y>1

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3 years ago
What is the expression for the difference of 4 and the quotient of w and 3 is equal to 29
JulsSmile [24]

The answer is

w ÷ 3 - 4 = 29

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