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stiks02 [169]
2 years ago
10

Graph the equation 2x + 3y = 9

Mathematics
1 answer:
jeka57 [31]2 years ago
8 0

2x + 3y = 9\\3y = -2x + 9\\y = -\frac{2}{3}x + 3

Look at the graph picture I attached

y = mx + c

c is the intercept, which is why the graph crosses the y-axis at +3

to find where it crosses the x-axis, we make y = 0

y = 0\\\to -\frac{2}{3}x + 3 = 0\\-\frac{2}{3} = -3\\\frac{2}{3}x = 3\\2x = 9\\x = \frac{9}{2}\ \ (=4.5)

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Apply the distribution
kicyunya [14]

Answer:

20(3m-2)

Step-by-step explanation:

In order to factor, you have to look for the greatest common factor, or what the biggest number could the two numbers be divided by.

In this case, both numbers can be divided by 20, and so we put the 20 outside of the parentheses.

This leaves with 3m and -2, which are left inside the parentheses.


Hope this helps :)


8 0
3 years ago
A computer store changed the price of a laptop. It was originally $900, but now it is $1,100.Find the percent of change
tigry1 [53]

Answer:

The percent of change is 22.22%.

Step-by-step explanation:

You can calculate the percent of change by subtracting the original number from the final number and dividing that by the original number. Then, you have to multiply the result for 100:

percent of change=((1,100-900)/900)*100

percent of change=(200/900)*100

percent of change=22.22%

According to this, the answer is that the percent of change is 22.22%.

7 0
3 years ago
Research results showed that experimental Drug R had a minimal to modest effect in reducing the symptoms of generalized anxiety
Angelina_Jolie [31]

Answer:

The variable that may change in response to the increase of the drug is the GAD symptoms by a 37,5%.

Step-by-step explanation:

According to the results of the first experiment with a mass of 200 mg of Drug R, they obtain a reduced of the GAD symptoms by a 25 percent evidenced by the Hamilton Anxiety Scale.

If they decided to increase the mass of Drug R to 300 mg the results expected are a increase of the porcentange of the reduced symptoms of generalized anxiety disorder, according to the tendence of the first hypothesis and the Hamilton Anxiety Scale.

We can express this increase by using the three simple rule. Where if 200 mg of Drug R reduced the 25% of the GAD symptoms, if we increase to 300 mg of Drug R how much porcentage this amount will be reduced.

Doing the maths 300mg × 25%=7500mg%,

    ⇒ 7500mg% ÷ 200mg = 37,5%.

<u>In conclusion</u> if they increased the mas of Drug R to 300 mg they will be reduced the generalized anxiety disorder (GAD) to a 37,5%.

3 0
4 years ago
What is the factored form of x^2 - 196 ?
Luba_88 [7]
D. (x-14)(x+14)
a negative and a positive multiplied makes a negative outcome so -14•+14=-196. x•x is = to x^2
8 0
3 years ago
Read 2 more answers
Which of the following is a solution of x² + 14x + 112 = 0? If necessary, round to the nearest hundredth.
Readme [11.4K]
To determine the solution of the quadratic equation, use the quadratic formula which states that,
                                x = ((-b  +/- sqrt (b² - 4ac)) / 2a
From the equation, a = 1, b = 14, and c = 112. Substituting these to the quadratic formula,
                               x = <span>((-14  +/- sqrt (14² - 4(1)(12)) / 2(1) = indeterminate
Thus, the equation does not a real number solution. </span>
6 0
3 years ago
Read 2 more answers
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