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lukranit [14]
3 years ago
9

How do you graph 2x-y=3

Mathematics
2 answers:
Aneli [31]3 years ago
6 0
Basically you have to put the equation into slope intercept form which first you move 2x over making it a negative so you have
-y= -2x+3. Then you can’t have a negative y so divide it by -1 on both sides making the final equation y=2x-3. Since slope intercept form is y=mx+b you know the slope (m) is 2 and the y-intercept (b) is -3. Then you just make the coordinate (0,-3) for the y-intercept and from there create a line that has a slope of 2 in which it goes through the point you’ve made. Hope this helps.
Alexxandr [17]3 years ago
3 0
To make this equation easier to graph, convert it to slope-intercept form.
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

To get 2x - y = 3 into slope-intercept form, isolate y.

2x - y = 3
-y = 3 - 2x
y = -3 + 2x
y = 2x - 3

As you can see, this graph has a slope of 2 and a y-intercept of -3.

The first step to graphing is plotting the y-intercept, which is (0, -3).

From there, figure out the slope. It's positive 2, so the graph will slant upwards. That means you can count 2 units up and 1 unit over and plot that point. Keep counting 2 units up and 1 over to begin forming the graph.

Finally, connect the coordinates, and you've graphed 2x - y = 3.

I've attached the graph below.

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Solve the equation 3^(2x) -4*3^(x+1) + 27 = 0. use rules of exponents to change 3^(x+1)​
Leviafan [203]

Answer:

\huge\boxed{x=1\ \vee\ x=2}

Step-by-step explanation:

3^{2x}-4\cdot3^{x+1}+27=0\\\\\text{use}\ (a^n)^m=a^{nm}\ \text{and}\ a^n\cdot a^m=a^{n+m}\\\\\left(3^x\right)^2-4\cdot3^x\cdot3^1+27=0\\\\\left(3^x\right)^2-12\cdot3^x+27=0\\\\\text{substitute}\ 3^x=t>0\\\\t^2-12t+27=0\\\\t^2-3t-9t+27=0\\\\t(t-3)-9(t-3)=0\\\\(t-3)(t-9)+0\iff t-3=0\ \vee\ t-9=0\\\\t-3=0\qquad\text{add 3 to both sides}\\\boxed{t=3}\\\\t-9=0\qquad\text{add 9 to both sides}\\\boxed{t=9}

\text{We return to substitution:}\\\\3^x=t\\\\3^x=3\ \vee\ 3^x=9\\\\3^x=3^1\ \vee\ 3^x=3^2\\\\\boxed{x=1}\ \vee\ \boxed{x=2}

4 0
2 years ago
√₂
snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

where:

  • I = interest earned.
  • P = principal invested.
  • r = interest rate (in decimal form).
  • t = time (in years).

Given:

  • Total P = $7000
  • P₁ = principal invested at 5%
  • P₂ = principal invested at 8%
  • Total interest = $500
  • r₁ = 5% = 0.05
  • r₂ = 8% = 0.08
  • t = 1 year

Create two equations from the given information:

\textsf{Equation 1}: \quad \sf P_1+P_2=7000

\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500

Rewrite Equation 1 to make P₁ the subject:

\implies \sf P_1=7000-P_2

Substitute this into Equation 2 and solve for P₂:

\implies \sf 0.05(7000-P_2)+0.08P_2=500

\implies \sf 350-0.05P_2+0.08P_2=500

\implies \sf 0.03P_2=150

\implies \sf P_2=\dfrac{150}{0.03}

\implies \sf P_2=5000

Substitute the found value of P₂ into Equation 1 and solve for P₁:

\implies \sf P_1+5000=7000

\implies \sf P_1=7000-5000

\implies \sf P_1 = 2000

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

brainly.com/question/27743947

brainly.com/question/28350785

5 0
1 year ago
Which of the following represents the difference between the central angles of the above regular polygons? Round to the nearest
solong [7]

Answer:

its 15.43

Step-by-step explanation:

you didnt put a picture for the polygons but im pretty sure this is from math nation.

6 0
2 years ago
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olga_2 [115]
0.04 is ten times more than 0.004
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3 years ago
Mel wants to buy a pair of shoes that costs $120. She has saved $45 and has a job that pays her $10 per hour. The number of hour
maksim [4K]
<h2>Answer: 8</h2>

Step-by-step explanation:

10x+45 > 120\\10x+45-45 > 120-45\\10x > 75\\\frac{10x}{10} > \frac{75}{10} \\x > 7.5

Therefore, Mel has to work at least 7.5 hours or 8 total hours.

3 0
1 year ago
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