MATHEMATICS COLLEGE

Can anyone transform a vertex form equation into a standard form?y= -0.3(x-0)^2+3


If you can show work.

Answers

Answer 1
Answer:

the standard form of a quadratic is :  y = ax² + bx + c : (a ≠ 0 )

note that (x - 0 )² = x²

distributing by - 0.3 gives

y= - 0.3x² + 3 ← in standard form

with a = - 0.3, b = 0 and c = 3

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100 POINTS PLEASE HELP ON HW

Answers

Answer:

Solution given:

f(x)=x²

g(x)=x+5

h(x)=4x-6

now

23:

(fog)(x)=f(g(x))=f(x+5)=(x+5)²=x²+10x+25

24:

(gof)(x)=g(f(x))=g(x²)=x²+5

25:

(foh)(x)=f(h(x))=f(4x-6)=(4x-6)²=16x²-48x+36

26:

(hof)(x)=h(f(x))=h(x²)=4x²-6

27;

(goh)(x)=g(h(x))=g(4x-6)=4x-6+5=4x-1

28:

(hog)(x)=h(g(x))=h(x+5)=4(x+5)-6=4x+20-6=4x-14

Answer:

the answer is 4x - 4

Step-by-step explanation:

Solve the following linear equation

−4(2w−7)=9(2−w)

Answers

Answer:

-10

Step-by-step explanation:

Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among 147 subjects with positive test results, there are 30 false positive results; among 157 negative results, there are 4 false negative results. If one of the test subjects is randomly selected, find the probability that the subject tested negative or did not use marijuana. (Hint: Construct a table.)a. The probability that a randomly selected subject tested negative or did not use marijuana is___________.
(Do not round until the final answer. Then round to three decimal places as? needed.)
b. How many subjects were included in the study?
The total number of subjects in the study was___.
c. How many subjects did not use marijuana?
A total of ___subjects did not use marijuana.

Answers

Answer:

(a)0.615

(b)304

(c)183

Step-by-step explanation:

Among 147 subjects with positive test results, there are 30 false positive (actually negative) results;

Among 157 negative results, there are 4 false-negative (actual positive) results.

The table below summarises the given data.

\left\begin{array}{c|c|c|cc}&$Use Marijuana&$Did Not Use Marijuana&$Total\n---&-------&-------&-------\n$Positive Result&117&30&147\n$Negative Result&4&153&157\n---&-------&-------&-------\n$Total&121&183&304\end{array}\right

(a)The probability that a randomly selected subject tested negative or did not use marijuana

P(negative or did not use marijuana)

=P(negative)+P(did not use marijuana)-P(both)

=(157)/(304)+ (183)/(304)-(153)/(304)\n=(187)/(304)\n\n\approx 0.615

(b)There were a total of 304 subjects in the study.

(c)A total of 183 subjects did not use marijuana.

15 points PLEASE HELPKirk earns $27.50 an hour and he worked 80 hours this pay period. His deductions are $396 for taxes. $264 for insurance, and $175 for retirement What is
his net pay for this pay period?

Answers

Answer:

27.50(80) is 2,200

2,200-396-175-264= 1,365

I think this is how u do it correct me if I'm wrong

Not sure how to graph this

Answers

Answer:

y=2x+6

Step-by-step explanation:

The slope is 2x and the y-intercept is 6. It is shown how to graph it in the attachment.

Monticello residents were surveyed concerning their preferences for candidates Moore and Allen in anupcoming election. Of the 800 respondents, 300 support neither Moore nor Allen, 100 support both Moore and
Allen, and 250 support only Moore. How many residents support Moore or Allen?

Answers

you just subtract 300 from 800 to get 500 people
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