Which algebraic expression represents the phrase "seven more than half of a number"?

Mathematics

1 answer:

Vika [28.1K]1 year ago

4 0

Answer:

1/2x +7

Step-by-step explanation:

Let the unknown number be x

We want 1/2 of the number

1/2x

Then 7 more than (add)

1/2x +7

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Which is the pattern for factoring the sum of cubes

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Answer: Its B

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1 year ago

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a number, n, is added to 15 less than 3 times itself.The result is 101.Which equation can be used to find the value of n? 3n-15+

Arturiano [62]

To solve for the system of equations, I will write the equation down as I rewrite the written form.
a number, n, (n) is added to 15 less than 3 times itself (+3n -15). The result is (=) 101. (101)
Now let's write only what's in the parenthesis.
n + 3n -15 = 101.
The correctly written form in your answers is:
3n - 15 + n = 101, your first answer.

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use the drop-down menus to describe the key aspects of the function f(x) = –x2 – 2x – 1. the vertex is the . the function is inc

timurjin [86]

Answer:

The vertex of the parabola is the maximum value, i.e.,(-1,0). The function is increasing x<-1. the function is decreasing x>-1. the domain of the function is all real numbers. the range of the function is all real numbers less than or equal to 0.

Step-by-step explanation:

The given function is

$f(x)=-x^2-2x-1$

$f(x)=-[x^2+2x+1]$

$f(x)=-(x+1)^2$ ....(1)

The general vertex form of the parabola is

$f(x)=a(x-h)^2+k$ .....(2)

Where, (h,k) is vertex and a is stretch factor.

On comparing (1) and (2), we get

$a=-1$

$h=-1$

$k=0$

The vertex of the parabola is (-1,0). Since a=-1<1 so it is a downward parabola.

The axis of symmetry is x=-1. So, before -1 the function is increasing and after -1 the function is decreasing.

The vertex of a downward parabola is the point of maxima. So, the rang of the function can not exceed 0.

Therefore the vertex of the parabola is the maximum value, i.e.,(-1,0). The function is increasing x<-1. the function is decreasing x>-1. the domain of the function is all real numbers. the range of the function is all real numbers less than or equal to 0.