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3 years ago

04.01 mc y-2x=-1 and 2y-x=4 choose the correct graph of the given systems of equations

Mathematics

1 answer:

ira [324]3 years ago

6 0

Answer:

1st one m=0

y= 0.49875311x / cm

No horizonal asymptotes

x= 1/2 + 2.005 mcy

2nd one is

slope 1/2

y intercept (0,2)

x y

-4 0

0 2

Step-by-step explanation:

for 2

starting point ay y 2 make a point

then rise over run

go up 1 and to the right 2 and point , then up 1 and to the right 2 and point

there is your graph

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A painter leans a 15 ft ladder against a building. The base of the ladder is 6 ft from the building. To the nearest foot, how hi

stiv31 [10]

Using the Pythagoras theorem

15^2 = x^2 + h^2 where h = height of ladder on the nuiding

h^2 = 15^2 - 6^2 = 189

= 13.75 ft to nearest hundredth

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3 years ago

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Marcus purchases 75 shares of stock. A year after purchasing the stocks, the value of the stock is $2 less per share. Write a mu

katrin [286]

75(x-2) where x represents the amount originally paid

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3 years ago

Solve the system by graphing. It is REQUIRED to check your solution. Show work for this problem on your work page.

Hunter-Best [27]

Answer:

y=x-1

y=-2x-4

although I cant summon a graph for this one, I can give cords

for first graph (-2,-3),(-1,-2),(0,-1), (1,0),(2,1)

For second graph the slope is down 2 over 1, and begins at (0,-4).

(-2,0)(-1,-2),(0,-4),(1,-6),(2,-8)

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3 years ago

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PLS HELP!!! WILL GIVE A LOT OF POINTS!!! dont forget the show your work pls

kolbaska11 [484]

Answer: it might be 8

Step-by-step explanation: Write a distance formula: x^2 - x^1

substituted -3.8, 4.2 into x^2 - x^1 and u will get 4.2 + 3.8 and u will calculate and it gets 8

I hope its right

7 0

2 years ago

Find the number of terms, n, in the arithmetic series whose first term is 13, the common difference is 7, and the sum is 2613.

siniylev [52]

Answer:

Step-by-step explanation:

Recall that the sum of an arithmetic series is given by:

$\displaystyle S = \frac{n}{2}\left(a + x_n\right)$

Where n is the number of terms, a is the first term, and x_n is the last term.

We know that the initial term a is 13, the common difference is 7, and the total sum is 2613. Since we want to find the number of terms, we want to find n.

First, find the last term. Recall that the direct formula for an arithmetic sequence is given by:

$x_n=a+d(n-1)$

Since the initial term is 13 and the common difference is 7:

$x_n=13+7(n-1)$

Substitute:

$\displaystyle S = \frac{n}{2}\left(a + (13+7(n-1)\right)$

We are given that the initial term is 13 and the sum is 2613. Substitute:

$\displaystyle (2613)=\frac{n}{2}((13)+(13+7(n-1)))$

Solve for n. Multiply both sides by two and combine like terms:

$5226 = n(26+7(n-1))$

Distribute:

$5226 = n (26+7n-7)$

Simplify:

$5226 = 7n^2+19n$

Isolate the equation:

$7n^2+19n-5226=0$

We can use the quadratic formula:

$\displaystyle x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, a = 7, b = 19, and c = -5226. Substitute:

$\displaystyle x =\frac{-(19)\pm\sqrt{(19)^2-4(7)(-5226)}}{2(7)}$

Evaluate:

$\displaystyle x = \frac{-19\pm\sqrt{146689}}{14} = \frac{-19\pm 383}{14}$

Evaluate for each case:

$\displaystyle x _ 1 = \frac{-19+383}{14} = 26\text{ or } x _ 2 = \frac{-19-383}{14}=-\frac{201}{7}$

We can ignore the second solution since it is negative and non-natural.

Therefore, there are 26 terms in the arithmetic series.

Our answer is A.

6 0

2 years ago