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Nastasia [14]
3 years ago
8

20 POINTS! WILL GIVE BRAINLIEST!

Mathematics
1 answer:
MAXImum [283]3 years ago
3 0

y= x² - 3x - 3 → ( in standard form )

factor the quadratic to obtain intercept form

the factors of - 3 which sum to - 2 are - 3 and + 1

y = (x - 3)(x + 1) → ( in intercept form )

for vertex form use ' completing the square '

y = x² + 2( -1 )x + ( - 1 )² - ( - 1 )² = ( x - 1 )² - 4

y = ( x - 1 )² - 4 → ( in vertex form )



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It could be 2+1 beacuse it says there are twice as many
5 0
3 years ago
-2(4x-6)=6-6x help me
bogdanovich [222]

Answer:

x=3

Step-by-step explanation:

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6 0
3 years ago
Carl ordered a package that weighs 192 pounds. It was shipped to him inside a box and surrounded by packing material. The total
AURORKA [14]

Answer:

The weight of box and pocking material =13 pound

Step-by-step explanation:

Let the weight of box and packing material =x

weight of package =192 pounds

total weight =205 pound

x+192=205

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x+192-192=205-192\\x+0=13\\x=13

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7 0
3 years ago
write two numbers that when rounded to the greatest place value have an estimated sum of 11000 and an estimated difference of 30
Nookie1986 [14]

Answer:

First, we have rounded numbers A and B, and we know that:

A + B = 11000

A - B = 3000

Now we can solve this system of equations as:

Isolating one variable in one of the equations, i will choose A in the second equation:

A = 3000 + B.

Now we can replace this into the other equation:

3000 + B + B = 11000

2*B = 11000 - 3000 = 8000

B = 8000/2 = 4000

and:

A - 4000 = 3000

A = 3000 + 4000 = 7000.

But remember that our original numbers are not exactly whole numbers, they are rounded up, so we could write them as:

A = 6999.8 (that would be rounded up to 7000)

B = 3999.7 (that would be rounded up to 4000)

The sum is:

A + B = 10999.5 (notice that this would be rounded up to 11000)

A - B =  3000.1 (this would be rounded down to 3000)

7 0
3 years ago
A certain tennis player makes a successful first serve 6969​% of the time. Suppose the tennis player serves 9090 times in a matc
Wewaii [24]

Answer:

a) 4.387

b) Yes, because np & npq are greater than 10.

c) = 0.017          

Step-by-step explanation:

Give data:

p = 0.69

n = 90

a) a

E(X) = np = 62.1

SD(X) = \sqrt{(np(1-p))}

          =\sqrt{90\times 0.69(1- 0.69)}

          = 4.387

b)

np = 62.1  

q = 1 - p  = 1 - 0.69 = 0.31

npq = 19.251

Yes, because np & npq are greater than 10.

c.

P(X \geq 72   ) = P(X > 71.5) [continuity correction]

=    P(Z> \frac{((71.5-62.1)}{ 4.387})

= P(Z> 2.14 )      

= 1 - P(Z<2.14)              

= 1 - 0.983   (using table)          

= 0.017          

8 0
3 years ago
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