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Nostrana [21]
3 years ago
15

!!Help Me!! Solve the rational equation:

Mathematics
1 answer:
nadya68 [22]3 years ago
8 0
Least common denominator is (x-1)(x-2) = x²-3x+2.
2x(x-2)/((x-1)(x-2)) - (2x-5)/((x-1)(x-2)) = -3(x-1)/((x-1)(x-2))
2x(x-2) - (2x-5) = -3(x-1)
(2x²-4)-(2x-5) = -3x+1
2x²-2x+1 = -3x+1
2x²+x = 0
x(2x+1) = 0
x = 0,-½
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f(x)=(x+3)(x-4) and g(x)=1/3(x+3)(x-4). the graphs of each are shown here. Which graph represents which polynomial function? exp
zvonat [6]

This is about interpretation of quadratic equation graphs.

<u><em>- The parabola that is continuous represents f(x) = (x+3)(x-4)</em></u>

<u><em>- The parabola that is a broken line represents g(x) = 1/3(x+3)(x-4)</em></u>

<u><em>- This is because calculating their y-intercept respectively corresponds with what is on the graph.</em></u>

  • We are given;

a) f(x) = (x+3)(x-4)

Let us confirm the x-intercept.

x-intercept here is when y = 0.

Thus, at y = 0; x + 3 = 0 and x - 4 = 0

Thus, at y = 0; x = -3 and y = 4

  • Let's now find the y-intercept;

y-intercept occurs when x = 0

Thus; y - intercept = (0 + 3)(0 - 4)

y - intercept = -12

  • Looking at the graph given, the only one that has it's y-intercept as -12 is the graph that has a continuous line.

  • This means the other graph that has dashed line would represent the other polynomial g(x)=1/3(x + 3)(x - 4)

Read more at; brainly.in/question/18896888

4 0
3 years ago
Help me match these formulas pleasee:(
babunello [35]
1. A= \frac{ah_a}{2},P=a+b+c
2. A= \frac{r^2\pi\alpha}{360^o}
3. l= \frac{r\pi\alpha}{180^o}
4. A=ab,P=2(a+b)
5. C=2r\pi
6. A=r^2\pi
7. P=na,S_n=(n-2)180^o,\alpha= \frac{S_n}{n}
8. P=3a,A= \frac{a^2\sqrt{3}}{4}
6 0
3 years ago
What are decimals?<br> ??????????????????
lora16 [44]

Answer:

The decimal numeral system is the standard system for denoting integer and non-integer numbers.

Step-by-step explanation:

Its Just There...

3 0
3 years ago
What's the vertex form of the function?
vivado [14]
I do not see a function.
4 0
3 years ago
Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing i
murzikaleks [220]

Answer:

p-value: 1.000

There is enough evidence at the 1% level of significance to suggest that the proportions are not equal.

Step-by-step explanation:

We will be conducting a difference of 2 proportions hypothesis test

The hypothesis for this test is:

H_0:  p1 - p2=0

H_a:  p1 - p2  ≠0

(p1 ) = 252/300 = 0.84

(p2) = 195/300 = 0.65

This is a 2 tailed test with a significance level of 1%.  So our critical values are:  z > 2.575  and z < -2.575

See the attached photo for the calculations for this test

8 0
3 years ago
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