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3 years ago

F(x)=-2(x-3)(x+5) convert quadratic functions to standard form

Mathematics

1 answer:

jasenka [17]3 years ago

4 0

Answer:

The answer is: f(x) = -2x^2 - 4x + 30

Step-by-step explanation:

Given:

f(x)=-2(x-3)(x+5)

Solve (x-3)(x+5) first, then multiply by -2:

f(x) = -2[(x - 3)(x + 5)]

f(x) = -2[x^2 -3x + 5x - 15]

f(x) = -2[x^2 + 2x - 15]

f(x) = -2x^2 - 4x + 30

Hope this Helps!! Have an Awesome Day!! (-:

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When 7 is subtracted from two third of the square of a number it becomes 17 find the number

Dmitry [639]

Answer: 6 or -6

hello,

Step-by-step explanation:

Let say n the number

$\dfrac{2}{3} *n^2-7=17\\\Longrightarrow\ \dfrac{2}{3} *n^2=24\\\Longrightarrow\ n^2=\dfrac{3*24}{2}\\\Longrightarrow\ n^2=36\\\Longrightarrow\ (n-6)(n+6)=0\\\\n=6\ or\ n=-6\\$

8 0

2 years ago

Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five event

mezya [45]

Answer:

The probability of Javier volunteers for less than three a month is 25%

Step-by-step explanation:

According to the questions,

The probability of Javier to attend exactly 5 events :-

P ( x = 5 ) = 25% = $\frac{1}{4}$

The probability of Javier to attend exactly 4 events :-

P ( x = 4 ) = $\frac{1}{4}$

The probability of Javier to attend exactly 3 events :-

P ( x = 3 ) = $\frac{1}{4}$

The probability of Javier to attend exactly 2 events :-

P ( x = 2 ) = $\frac{3}{20}$

The probability of Javier to attend exactly 1 events :-

P ( x = 1 ) = $\frac{1}{20}$

The probability of Javier to attend no events :-

P ( x = 0 ) = $\frac{1}{20}$

Now we have to calculate the probability of Javier volunteers for less than three P ( x < 3 ).

P ( x < 3 ) = P ( x = 0 ) + P ( x = 1 ) + P ( x = 2 )

P ( x < 3 ) = $\frac{1}{20} + \frac{1}{20} + \frac{3}{20}$ $= \frac{1 + 1 + 3}{20}$ = $\frac{5}{20}$ = $\frac{1}{4}$ = 0.25 = 25 %.

8 0

2 years ago

If k-9=5(k-3)find k

jok3333 [9.3K]

Answer:

K = 3/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

k−9=5(k−3)

k+−9=(5)(k)+(5)(−3)(Distribute)

k+−9=5k+−15

k−9=5k−15

Step 2: Subtract 5k from both sides.

k−9−5k=5k−15−5k

−4k−9=−15

Step 3: Add 9 to both sides.

−4k−9+9=−15+9

−4k=−6

Step 4: Divide both sides by -4.

-4k/-4 = -6/-4

K = 3/2

7 0

3 years ago

Read 2 more answers

Brandon buys a radio for 48.43 dollars in a state where the sales tax is 7%

Elza [17]

Answer:

Given : Brandon buys a radio for $43.99 .sales tax rate is 7%.sales tax is a consumption tax imposed by the government on the sale of goods and services.

Let the price of Radio before the sales tax be $x. Sales tax on $x is 7% x.

Price before sales tax + Amount of sales tax= Cost of Radio.

x+7%x =43.99

Or x+0.07x=43.99

1.07x=43.99

Dividing both sides by 1.07.

x= 41.11

Cost of Radio before tax = $41.11

Sales tax paid = 43.99-41.11= 2.88

Tax paid = $2.90 (To the nearest cent)

Step-by-step explanation:

4 0

3 years ago

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If f(x) = x^3 – 2x^2, which expression is equivalent to f(i)?

arsen [322]

I=√-1 and all the steps are there

6 0

3 years ago

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F(x)=-2(x-3)(x+5) convert quadratic functions to standard form​

F(x)=-2(x-3)(x+5) convert quadratic functions to standard form