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3 years ago

The sum of the squares of two consecutive positive even numbers is 340. Find the numbers.

Mathematics

1 answer:

elixir [45]3 years ago

4 0

12 and 14

12^2=144
14^2=196

144+196=340

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What is the slope??????

OleMash [197]

Slope is how much a line goes up in ratio to how much the line goes to the right
(rise) / (run)
(y2 - y1) / (x2 - x1) when given points (x1, y1) and (x2, y2)
every time you go to the Right 1 unit, how much it goes Up is the slope
(if it is down, the slope is negative)

7 0

4 years ago

Show the processes for solving 2x+3y=5 and 4x - y=17 using elimination and substitution

r-ruslan [8.4K]

ANSWER:

The solution of the two equations 2x+3y=5 and 4x - y=17 is (4, -1).

SOLUTION:

Given, two linear equations are 2x + 3y = 5 → (1) and 4x – y = 17 → (2).

Let us first solve the above equations using elimination process. 

For elimination, one of the coefficients of variables has to be same in order to cancel them.

Now solve (1) and (2)

eqn (1) $\times$ 2 → 4x + 6y = 10

eqn (2) → 4x – y = 17

(-) ----------------------------

0x + 7y = -7

y = -1

Substitute y value in (2)

$4 x-(-1)=17 \rightarrow 4 x+1=17 \rightarrow 4 x=17-1 \rightarrow 4 x=16 \rightarrow x=4$

So, solution of two equations is (4, -1).

Now let us solve using substitution process.

Then, (2) → 4x – y = 17 → 4x = 17 + y → y = 4x – 17

Now substitute y value in (1) → 2x + 3(4x – 17) = 5 → 2x + 12x – 51 = 5 → 14x = 5 + 51 → 14x = 56

x = 4

Substitute x value in (2) → y = 4(4) – 17 → y = 16 – 17 → y = -1

Hence, the solution of the two equations is (4, -1).

7 0

3 years ago

T f(x) = x 5 - 3x 3 24 is

kolezko [41]

This question is not correct

8 0

4 years ago

Hector made a batch of pancakes first guest you 6 cups of milk three eggs and 9 cups of pancake mix. What is the constant of pus

Nitella [24]

Answer:

3 : 2

Step-by-step explanation:

The ratio of pancake mix to milk is ...

pancake mix : milk = (9 cups) : (6 cups) = 9 : 6 = 3 : 2

6 0

3 years ago

The cashier service time at the local branch of the Rivertown bank has an exponential distribution with a mean of 2.5 minutes. W

aleksandrvk [35]

Answer: d. .2474.

Step-by-step explanation:

Given : The cashier service time at the local branch of the Rivertown bank has an exponential distribution with a mean of 2.5 minutes.

The cumulative distribution function for exponential distribution is :-

$P(X\leq x)= 1-e^{-\frac{x}{\lambda}}$

, where $\lambda$ = Mean of the distribution.

The probability that the service time is between 2 and 4 minutes will be :

$P(2\leq X \leq 4)=P(X\leq4)-P(X\leq 2)\\\\= (1-e^{\frac{-4}{2.5}})-(1-e^{\frac{-2}{2.5}})\\\\=e^{\frac{-2}{2.5}}-e^{\frac{-4}{2.5}}\\\\=0.449328964117-0.201896517995\\\\=0.247432446123\approx0.2474$

Hence, the correct option is d. .2474.

4 0

3 years ago