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2 years ago

F(x)=-(x+2)^2+3 put in standard form

Mathematics

2 answers:

Natasha_Volkova [10]2 years ago

8 0

Answer:

F(x)=-x^2-4x-1

Step-by-step explanation:

According to PEMDAS, do the exponent part for the parentheses, sense it goes first.

F(x)= -(x^2+4x+4)+3

Then distribute the - sign

F(x)= -x^2-4x-4+3

Then you simplify

F(x)= -x^2-4x-1

Cerrena [4.2K]2 years ago

7 0

Answer:

Hello,

Step-by-step explanation:

do I remind you of the formula (a+b)²=a²+2ab+b²

$f(x)=-(x+2)^2+3\\\\=-(x^2+4x+4)+3\\\\=-x^2-4x-4+3\\=-x^2-4x-1$

Sorry i haven't see the sign minus before the parenthesis.

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find two positive even consecutive integers such that a square of the smaller integer is 10 more than the larger integer

nalin [4]

Answer:

the two positive consecutive integers are 4 and 6.

Step-by-step explanation:

Let the smaller integer be s; then s^2 = (s + 2) + 10.

Simplifying, s^2 - s - 2 - 10 = 0, or

s^2 - s - 12 = 0.

Solve this by factoring: (s - 4)(s + 3) = 0.

Then s = 4 and s = -3.

If the first even integer is 4, the next is 6. We omit s = -3 because it's not even.

The smaller integer is 4. Does this satisfy the equation s^2 = (s + 2) + 10?

4^2 = (4 + 2) + 10 True or False?

16 = 6 + 10 = 16.

True.

So the two positive consecutive integers are 4 and 6.

6 0

3 years ago

The train from Geneva, Switzerland, to Milan, Italy, travels at 100 miles per hour, and the two cities are 200 miles apart. How

Hatshy [7]

Answer:

Step-by-step explanation:

Three customers have accounts owing money. The table shows the account balances.

Which customer owes the least amount of money?

Customer Balance

M. Palmer –$56.72

B. Leftwich –$74.19

R. Jordan –$54.31

does anybody know

8 0

3 years ago

2. In the diagram below, secants PT and PU have been drawn from exterior point P such that the four arcs

scoundrel [369]

Answer:

(a) x = 30°

(b) mRS = 30°

mST = 120°

mTU = 120°

mUR = 90°

Step-by-step explanation:

(a) In the picture attached, the diagram is shown.

Given that m arc RS = x, from the ratios:

m arc ST = 4x

m arc TU = 4x

m arc UR = 3x

The addition of the four arcs must be equal to 360°, then:

x + 4x + 4x + 3x = 360°

12x = 360°

x = 360°/12 = 30°

(b) m arc RS = x = 30°

m arc ST = 4x = 4*30° = 120°

m arc TU = 4x = 4*30° = 120°

m arc UR = 3x = 3*30° = 90°

8 0

2 years ago

In the rolling of two fair dice calculate the following: P(Sum of the two dice is 7) = ______

vesna_86 [32]

Answer:

P(Sum of the two dice is 7) = 6/36

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

A fair dice can have any value between 1 and 6 with equal probability. There are two fair dices, so we have the following possible outcomes.

Possible outcomes

(first rolling, second rolling)

(1,1), (2,1), (3,1), (4,1), (5,1), (6,1)

(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)

(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)

(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)

(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)

(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)

There are 36 possible outcomes.

Desired outcomes

Sum is 7, so

(1,6), (6,1), (5,2), (2,5), (3,4), (4,3).

There are 6 desired outcomes, that is, the number of outcomes in which the sum of the two dice is 7.

Answer

P(Sum of the two dice is 7) = 6/36

7 0

3 years ago

In a village the number of houses and the number of flats are in the ratio 9:5 the number of flats and the number of bungalows T

Makovka662 [10]

Answer:

Total no. of houses = 140

Step-by-step explanation:

Let there are 9x flats and 5x bungalows.

Total bungalows = 50

It means,

5x = 50

x = 10

No of flats = 9x

= 9(10)

= 90

Total houses = no. of flats + no. of bungalows

= 50+90

= 140

So, there are 140 houses in the village.

5 0

2 years ago