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2 years ago

Rewrite the function f(x)=-4(x-3)^2+16 in the form f(x)=ax^2+bx+c

Mathematics

1 answer:

elena55 [62]2 years ago

4 0

Answer:

f(x) = - 4x² + 24x - 20

Step-by-step explanation:

Given

f(x) = - 4(x - 3)² + 16 ← expand the factor using FOIL

= - 4(x² - 6x + 9) + 16 ← distribute parenthesis by - 4

= - 4x² + 24x - 36 + 16 ← collect like terms

= - 4x² + 24x - 20

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7. This year, the water in a reservoir dropped by 60%. For the original water level to be restored next year, by what percent mu

ale4655 [162]

Answer:

Given: Water in a reservoir dropped by 60%

Step-by-step explanation:

let the total water level of reservoir be 100.

then, in first year

the water reservoir dropped = 60% of 100

= $\frac{60}{100}$ * 100

= 60

therefore, total water level needed to be restored till next year= 100

remaining water level to restore till next year= 100-60

=40

percentage= $\frac{40}{100}$ * 100

=40%

8 0

2 years ago

a) What percent of all applicants were Asian? The percent of all applicants who were Asian is nothing%. (Round to one decima

Likurg_2 [28]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

The missing data is defined in the attached file please find it.

Given:

Admission Status

$\left\begin{array}{ccccc}Ethnography &Acceptable \ Approval &Waitlisted & Turned \ Away & Total\\\\ Hispanic/ Black & 51 &206&143 & 400 \\Asia &57&289&100&446\\White& 62&222&145&429\\ Total & 170& 717& 388& 1275\end{array}\right \\\\\\$

In point A:

The overall percent of applicants, which is Asia:

$= \frac{446}{1275} \\\\ = 0.3498039 \approx 34.98 \%$

In point B:

The overall percent of the students, who admitted to Asia:

$P(accepted\ Asian) = P( \frac{Placcepted \ Asian}{Asian})$

$= \frac{\frac{57}{1275}}{\frac{446}{1275}} \\\\= \frac{57}{1275} \times \frac{1275}{446} \\\\= \frac{57}{446} \\\\= 0.1278027\approx 12.78 \%$

In point C:

The Asian percentage approved:

$P(Asian/accepted) =\frac{P(accepted, Asian)}{P(accepted)}\\$

$=\frac{\frac{57}{1275}}{\frac{170}{1275}} \\\\= \frac{57}{1275} \times \frac{1275}{170} \\\\= \frac{57}{170} \\\\= 0.3352941\approx 33.52%$

In point D:

The number of all students admitted:

$=\frac{170}{1275}\\\\= 0.13333 \\\\= 13.33%$

8 0

3 years ago

Convert 10% to a decimal

Mrac [35]

Answer:

0.10

Step-by-step explanation:

move the degree over 2 spaces and turn it into a decimal

6 0

2 years ago

Read 2 more answers

mark spent a total of $12.33 on 9 oranges and a packet of strawberries. if the packet of strawberries costs $2.88 how much did e

rosijanka [135]

Answer: $1.05 per orange

Step-by-step explanation:

12.33 - 2.88 = 9.45

9.45 ÷ 9 = 1.05

6 0

9 months ago

The point slope form of X-3Y=-27

garik1379 [7]

X-3y=-27
-3y=-27-x
y=(1/3)x+(27/3)
I hope I Helped..

7 0

2 years ago