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Viktor [21]
3 years ago
12

How do you Rewrite f(x) = −(x + 3)2 − 1 from vertex form to standard form?

Mathematics
1 answer:
wel3 years ago
5 0
Expand it

-(x+3)^2-1
-(x+3)(x+3)-1
-1(x^2+3x+3x+9)-1
-1(x^2+6x+9)-1
-x^2-9x-9-1
-x^2-9x-10

f(x)=-x^2-9x-10
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If x= -5+6i and y= 3-2x, then which of the following is the value of the expression 4x-y
Verizon [17]

y=3-2x\\\\4x-y=4x-(3-2x)=4x-3+2x=6x-3\\\\\text{Put}\ x=-5+6i\ \text{to the expression}\ 6x-3:\\\\6(-5+6i)-3\qquad\text{use distributive property}\\\\=(6)(-5)+(6)(6i)\\\\=-30+36i\\\\Answer:\ \boxed{4x-y=-30+36i}

6 0
3 years ago
Elena is trying to figure out how many movies she can download to her hard drive. The hard drive is supposed to hold 500 gigabyt
soldi70 [24.7K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Maximum capacity of hard drive = 500 GB

Space used up = 58 GB

Size per movie = 8GB

Number of movies = x

1)

[(Number of movies * size per movie) + used up space] should be less than or equal to the maximum capacity to f the drive.

From Elena's inequality, the total space taken up by movies + used up space is greater than total capacity of hard drive.

That is ;

[(8x + 58 ≤ 500

8x ≤ 500 - 58

8x ≤ 442

x ≤ 442 / 8

x ≤ 55.25

The maximum number of movies Elena can download is 55

8 0
3 years ago
Enter an inequality that represents the graph in the box.
mamaluj [8]

We know the y intercept is -6 and we know the slope is positive 4 (rise over run) so the equation is y=4x-6 if we plug in a shaded point (I would choose 0,0 for convenience reasons) 0=-6 since -6 is less than 0, the expression would be y≥4x-6

4 0
3 years ago
A blank expression like (3+5)x(4-1) is a combination of numbers and least one operation
Brums [2.3K]

Answer:

Hey the answer is = 24x

Step-by-step explanation:

An algebraic expression comprises both numbers and variables together with at least one arithmetic operation. To evaluate an algebraic expression you have to substitute each variable with a number and perform the operations included.

HOPE THIS HELPS!

8 0
3 years ago
Read 2 more answers
Find x. Round to the nearest tenth if necessary.a 4 b 5 c 6 d 3
DiKsa [7]
The answer is B. 5

6+2=8

3+5=8
8 0
3 years ago
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