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svetoff [14.1K]
2 years ago
15

The graph of a quadratic equation opens down when the value of a,b or c Is negative

Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
3 0

Answer:

a is the answer!!!!!!!

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Write a problem about sum of three numbers
Tems11 [23]
Abraham has 6 jawbreakers.
Isaac has 13 lollipops.
Jacob has 9 peanut butter cups.

If Ahmed ... one of Rebecca's camels that can't resist candy ...
makes the rounds in the middle of the night, breaks into each
of their tents, and eats all of the patriarchs' sweets, how many
pieces of candy will Ahmed the camel eat before sunrise ?
7 0
3 years ago
How many integers n leave remainder 4 when divided by 7, if n satisfies the given inequality?
bekas [8.4K]

Consider inequality |-n| This inequality is equivalent to inequality |n|

This means that -46

The greatest integer number n, such that -46 when dividing by 7 gives the remainder 4 is 39. Then subtract 7, you get 32, then 25 and so on.

When n=-39, -32, -25, -18, -11, -4, 4, 11, 18, 25, 32, 39 then dividing by 7 the remainder is 4.

Answer: 12 integers.

4 0
2 years ago
Find the values of sin2u, cos2u, and tan2u given the figure.
Vadim26 [7]

Givens

y = 2

x = 1

z(the hypotenuse) = √(2^2 + 1^2)  = √5

Cos(u) = x value / hypotenuse = 1/√5

Sin(u) = y value / hypotenuse = 2/√5

Solve for sin2u

Sin(2u) = 2*sin(u)*cos(u)

Sin(2u) = 2(\dfrac{1}{\dsqrt{5}} * \frac{2}{\dsqrt{5}} = \dfrac{2}{5}) = 4/5

Solve for cos(2u)

cos(2u) = - sqrt(1 - sin^2(2u))

Cos(2u) = - sqrt(1 - (4/5)^2 )

Cos(2u) = -sqrt(1 - 16/25)

cos(2u) = -sqrt(9/25)

cos(2u) = -3/5

Solve for Tan(2u)

tan(2u) = sin(2u) / cos(2u) = 4/5// - 3/5 = - 0.8/0.6 = - 1.3333 = - 4/3

Notes

One: Notice that you would normally rationalize the denominator, but you don't have to in this case.  The formulas are such that they perform the rationalizations themselves.

Two: Notice the sign on the cos(2u). The sin is plus even though the angle (2u) is in the second quadrant. The cos is different. It is about 126 degrees which would make it a negative root (9/25)

Three: If you are uncomfortable with the  tan, you could do fractions.

\text{tan(2u)} = \dfrac{\dfrac{4}{5}}{\dfrac{-3}{5} } =\dfrac{4}{5} *\dfrac{5}{-3} =\dfrac{4}{-3}

7 0
3 years ago
Set up the formula to find the balance after 8 years for a total of $12,000 invested at an annual
Natasha2012 [34]

Answer:

A = 12000(1.0002466)²⁹²⁰

Step-by-step explanation:

The formula for the amount after compound interest is: A = P(1 + i)^{n}

"A" is the amount, or balance.

"P" is the principal, or starting amount/investment.

"i" is the interest rate for each compounding period.

"n" is the number of compounding periods.

The interest rate each compounding period, "i", is calculated with i=r/c

"r" is the annual interest rate in decimal form.

"c" is the compounding frequency. (If compounded annually, c=1. If monthly, c=12.)

The number of compounding periods, "n", is calculated with n=tc.

"t" is the time in years.

"c" is the compounding frequency.

In this problem:

t = 8

P = 12,000

r = 9%, or r = 0.09 for decimal form.

c = 365

Calculate "i" and "n".

i = r/c

i = 0.09/365

i = 0.00024657534

i ≈ 0.0002466

n = tc

n = 8(365)

n = 2920

Substitute these back into the formula:

A = P(1 + i)ⁿ

A = 12000(1+0.0002466)²⁹²⁰

A = 12000(1.0002466)²⁹²⁰

7 0
3 years ago
The area of a rectangular table top is square meters. If the top of the table is meter long, what is its width?
TEA [102]
Ok
so i think you would need to add around the table and then you got the answer

6 0
2 years ago
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