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Aleks [24]
3 years ago
6

Bob took 20 math test last year if he failed 6 of them what percent of the math test did he pass

Mathematics
2 answers:
kodGreya [7K]3 years ago
8 0
6 out of 20=what percent?
6/20=x%

percent means parts out of 100
x%=x/100

6/20=x/100
time both sides by 100
30=x
answer is 30% passed

100-30=70
70% is answer
Jlenok [28]3 years ago
7 0
70 %

6 is the 30% percent of 20, so 70% refers to the percent of the math test he passed
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The axis of symmetry for the function f(x) = –2x2 + 4x + 1 is the line x = 1. Where is the vertex of the function located?
egoroff_w [7]

Answer:

(1, 3)

Step-by-step explanation:

You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola.  The first few steps are as follows.  Set the parabola equal to 0 so you can solve for the vertex.  Separate the x terms from the constant by moving the constant to the other side of the equals sign.  The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out).  Let's start there.  The first 2 steps result in this polynomial:

-2x^2+4x=-1.  Now we factor out the -2:

-2(x^2-2x)=-1.  Now we complete the square.  This process is to take half the linear term, square it, and add it to both sides.  Our linear term is 2x.  Half of 2 is 1, and 1 squared is 1.  We add 1 into the set of parenthesis.  But we actually added into the parenthesis is +1(-2).  The -2 out front is a multiplier and we cannot ignore it.  Adding in to both sides looks like this:

-2(x^2-2x+1)=-1-2.  Simplifying gives us this:

-2(x^2-2x+1)=-3

On the left we have created a perfect square binomial which reflects the h coordinate of the vertex.  Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:

-2(x-1)^2+3=y

From this form,

y=-a(x-h)^2+k

you can determine the coordinates of the vertex to be (1, 3)

5 0
3 years ago
Read 2 more answers
At Dapper Dave's annual end-of-season sale, every necktie in the shop gets marked down. Dillon purchased 6 neckties during the s
bazaltina [42]

Answer:

6 times 5 = 30

the total is $162

162 + 30 = $192 at full price

Step-by-step explanation:

6 0
2 years ago
3 square root 125/5-8
Ksivusya [100]
The answer is <span>-1.2917960675</span>
4 0
3 years ago
Anthony bought an 8-foot board. He cut off 3/4 of the board to build a shelf and gave 1/3 of the rest to his brother for an art
AleksAgata [21]
I’m pretty sure the answer is 8 inches, mark as brainleist pls :)
6 0
2 years ago
Solve for n. 15 = 0.5n
murzikaleks [220]

15 = 0.5n


15/0.5 = n


15/0.5 = 30


n = 30.

6 0
3 years ago
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