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Alborosie
2 years ago
11

Which of the following is the maximum value of the equation y = −x2 − x + 6?

Mathematics
1 answer:
Ratling [72]2 years ago
4 0

Step-by-step explanation:

f(x) = y= -x²-x+6

When y is max, f'(x) = 0

f'(x) = -2x-1

Equating to 0,

-2x-1= 0

x= -1/2

Put the value of x in f(x)

y = -(-1/2)² -(-1/2) +6

= -1/4+1/2+6

= 6+1/2

y= 13/2

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Pq has a length of 17 units with p(-4,7). If the x and y coordinates of q are both greater than the x and y coordinates of p wha
prisoha [69]

Answer:

Step-by-step explanation:

1²+16²=1+256=257≠289(17²)

2²+16²=4+256=260≠17²

3²+16²=9+256=265≠17²

4²+16²=16+256=272≠17²

5²+16²=25+256=281≠17²

6²+16²=36+256=292>17²

6²+15²=36+225=261≠17²

7²+15²=49+225=274≠17²

8²+15²=64+225=289=17²

9²+14²=81+196=277≠17²

10²+14^2=100+196>289

10²+13²=100+169=269≠17²

11²+13³=121+169=290>17²

11²+12²=121+144=265≠17²

12²+12²=144+144=288≠17²

so only integer values are 8²+15²=17²

(x+4)²+(y-7)²=17²

if x+4=8

x=8-4=4

y-7=15

y=15+7=22

so q is (4,22)

if x+4=15

x=15-4=11

y-7=8

y=8+7=15

point is (11,15)

7 0
3 years ago
What are the multiples of 2?
charle [14.2K]

Answer:

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...

Step-by-step explanation:

Multiple of any number is a number which can be divided exactly by that number. The Multiples of a number are formed by multiplyng it with other numbers like 1,2,3,etc.

6 0
3 years ago
Slope of line y = -2x+ 4
Fofino [41]

Answer:

-2

Step-by-step explanation:

The equation of a line in slope intercept form is

y = mx +b where m is the slope and b is the y intercept

y = -2x+4

The slope is -2 and the y intercept is 4

3 0
3 years ago
How do you use math in real life outside of school
VikaD [51]

In the kitchen. Baking and cooking requires some mathematical

Texting on the cellphone.

Gardening.

Arts.

Keeping a diary.

Planning an outing.

Planning dinner parties.

6 0
3 years ago
Read 2 more answers
Rolling Dice Roll two standard dice and add the numbers. What is the probability of getting a number larger than 9 for the first
Rudik [331]

Answer:

\frac{1}{6}

Step-by-step explanation:

The sum is larger than 9, it means we have: 10, 11, and 12

  • To get the outcome is 12, we have only one way is that the two dice shows face-6. The probability to have 12 is:

P(12) = \frac{1}{6} *\frac{1}{6} = \frac{1}{36}

  • To get 11, we have  it two ways once dice shows face-5 and the other shows face-6  and vice versa

P(11) = 2* \frac{1}{6} *\frac{1}{6} = \frac{1}{18}

  • To get 10, we have it three ways ( once dice shows face-5 and the other shows face-6 and vice versa , two dice show 5)

P(10) = 3* \frac{1}{6} *\frac{1}{6} = \frac{1}{12}

So the probability of getting a number larger than 9 for the first time on the third roll is:

P(12) + P(11) +P(10 )

= \frac{1}{36} + \frac{1}{18} + \frac{1}{12} = \frac{1}{6}

5 0
4 years ago
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