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3 years ago

How many solutions does this system have? 2x+3y=-3 3x+ 5y=-9

Mathematics

1 answer:

zhuklara [117]3 years ago

4 0

Answer:

Step-by-step explanation:

2x + 3y = -3 3x + 5y = -9

3y = -2x - 3 5y = -3x - 9

y = -2/3x - 1 y = -3/5x - 9/5

slope = -2/3 slope = -3/5

y int = -1 y int = -9/5

to find the answer, u must compare the slopes and the y intercepts.

if they have the same slope and different y int's, then there is no solution

if they have the same slope and the same y int's, they have infinite solutions

if they have different slopes and different y int's, they have 1 solution

so this system has 1 solution <===

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11. Which could be the table of values that was used to graph the function of x shown below?

frutty [35]

Answer:

Step-by-step explanation:

Here, we want to select the possible table of the given line

Let us look at the intercepts

On the x-axis, we have an intercept at x = 2

On the y-axis, we have an intercept at y = -4

This means that when y = 0, x = 2 and when x = 0, y = -4

Looking at the options, the table that supports this answer is the table of option D

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2 years ago

N is an integer and - 2<n+3<4, write down the possible values of n from smallest to largest

Korolek [52]

Answer:

- 4, - 3, - 2, - 1, 0

Step-by-step explanation:

Given

- 2 < n + 3 < 4 ( subtract 3 from each interval )

- 5 < n < 1

This indicates that n ≠ - 5, 1 but all values in between, that is

n = - 4, - 3, - 2, - 1, 0 ← possible values of n

4 0

3 years ago

Kelsie sold digital cameras on her website . She bought the cameras for $65 each and includes a 60% markup to get the selling pr

ryzh [129]

Answer:

$104

Step-by-step explanation:

First, convert 60% to a decimal.

60% = 0.6

Now, multiply the cost to buy the camera ($65) by the decimal.

$65 × 0.6 = $39

Now, add this amount to the amount it cost to buy the camera.

$65 + $39 = $104

The selling price for the camera will be $104.

5 0

2 years ago

(-19+7i)-(29+32i)=<br><br> in the form (a+bi)

olga_2 [115]

ANSWER

$-48-25i$

EXPLANATION

We want to simplify the expression,

$(-19+7i) - (29+32i)$

Let us expand the bracket to obtain,

$-19+7i-29-32i$

We now group the complex number parts and real number parts.

$-19 -29+7i-32i$

We simplify further to obtain,

$- 48-25i$

This is in the form,

$a+bi$

where

$a=-48$

and

$b=-25$

5 0

3 years ago

How do I get the answer y= 2x^2+9x-5

guapka [62]

Answer:

Quadratic Formula

x = -5

and

x = 0.5

Step-by-step explanation:

Whenever you see a problem in this form, which you will see a lot of, you can try to factor it or use the "least squares" method or what have you, but those won't always work, unfortunately.

Fortunately, the quadratic formula will never fail you with quadratic expressions.

This is the Quadratic Formula

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

a is the the number on the variable with the exponent ^2

b is the number on the variable with no exponent

c is the third number

a and b cannot be equal to 0; c can be

Since we're looking for a number with an equation that has a square root in it, we're going to get two answers. These two answers come from the radical being separately added AND subtracted from the radical. It's basically two problems.

Plugging in our numbers to this equation gives us x values of -5 and 0.5. This will always work with polynomials with factors of ^2 in them.

If you have a TI-84 calculator or newer, there's a tool on it that will factor polynomials like this one for you just by giving it the numbers.

7 0

3 years ago