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2 years ago

What is the solution to the system below? X=7

Mathematics

1 answer:

Olegator [25]2 years ago

8 0

Answer:

A)(7,-9)

Step-by-step explanation:

we know x=7

so put it in the equation

y= -2(7)+5

y=-9

we always put the x coordinate first and then the y coordinate so the answer is (7,-9)

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A box contains 5 red balls, 7 green balls, and 6 yellow balls. In how many ways can 6 balls be chosen if there should be 2 balls

Nostrana [21]

Answer:

12 balls

Step-by-step explanation:

take 3 red balls ,5 green balls and 4 yellow balls that 12 balls = 6 balls in bag

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2 years ago

You have an ant farm with 27 ants. The population of ants in your farm will double every 3 months. The table shows the populatio

disa [49]

Answer:

It represents a linear function and there will be 216 ants after 1 year

8 0

2 years ago

Solve the following recurrence relation: <br> <img src="https://tex.z-dn.net/?f=A_%7Bn%7D%3Da_%7Bn-1%7D%2Bn%3B%20a_%7B1%7D%20%3D

-Dominant- [34]

By iteratively substituting, we have

$a_n = a_{n-1} + n$

$a_{n-1} = a_{n-2} + (n - 1) \implies a_n = a_{n-2} + n + (n - 1)$

$a_{n-2} = a_{n-3} + (n - 2) \implies a_n = a_{n-3} + n + (n - 1) + (n - 2)$

and the pattern continues down to the first term $a_1=0$ ,

$a_n = a_{n - (n - 1)} + n + (n - 1) + (n - 2) + \cdots + (n - (n - 2))$

$\implies a_n = a_1 + \displaystyle \sum_{k=0}^{n-2} (n - k)$

$\implies a_n = \displaystyle n \sum_{k=0}^{n-2} 1 - \sum_{k=0}^{n-2} k$

Recall the formulas

$\displaystyle \sum_{n=1}^N 1 = N$

$\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2$

It follows that

$a_n = n (n - 2) - \dfrac{(n-2)(n-1)}2$

$\implies a_n = \dfrac12 n^2 + \dfrac12 n - 1$

$\implies \boxed{a_n = \dfrac{(n+2)(n-1)}2}$

4 0

2 years ago

What is Factor 64b-16c to identify the equivalent expressions.

liubo4ka [24]

Answer:
16(4b - c)

Explanation:
16 x 4b = 64b
16 x c = 16c

3 0

3 years ago

The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km) above sea level, then the pres

seraphim [82]

Answer:

373.8mmHg

Step-by-step explanation:

a =height (in km) above sea level,

the pressure P(a) (in mmHg) is approximated given as

P(a) = 760e–0.13a .

To determine the atmospheric pressure at 5.458 km, then we will input into the equation

P(5.458km) = 760e–0.13a .

= 760e^(-0.13×5.458)

=760e^-(0.70954)

= 760×0.4919

=373.8mmHg

Therefore, the atmospheric pressure at 5.458 km is 373.8mmHg

3 0

2 years ago