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3 years ago

Which equation has the solutions x = 1+

Mathematics

1 answer:

BaLLatris [955]3 years ago

5 0

Answer:

The last equation x2 - 2x -4 = 0

has solution (x - 1)^2 - 5 = 0, x = 1 + root(5) or x = 1 - root(5)

Step-by-step explanation:

If a quadratic function has roots 1 and 5

f(x) = (x -1)(x- 5)

f(x) = x^2 - 6x + 5

Unless you meant. -4 and 6 ?

g(x) = (x + 4)(x - 6)

g(x) = x^2 -2x -24

-------------------------

Or did you mean x = 1 and x =4 ?...

x^2 + 2x + 4 = 0 : complete square x^2 + 2x + 1 + 3 = 0, (x+1)^2 + 3 = 0

x^2 - 2x + 4 = 0 : complete square: (x -1)^2 + 3 = 0

0x^2 + 2x - 4 = 0, 2x - 4 = 0, x = 2

x^2 - 2x - 4 = 0 becomes: x^2 - 2x + 1 - 1 -4 = 0 ; (x - 1)^2 - 5 = 0

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can some one explain to me how fractions work who ever explains it well gets brainliest, adding, subtracting, multiplying, divid

Ludmilka [50]

Adding: When adding fractions, you want to make sure that the denominator is the same for both fractions. If they are already the same, just add both the numerators to get the answer. For example,
$\frac{3 }{5} + \frac{1}{5} = \frac{4}{5}$
If the denominator is different in both fractions, you have to find the least common denominator, or LCD. The LCD is the smallest number that both denominators can multiply into. For example, say you need to find
$\frac{1}{6} + \frac{1}{3}$

Multiply both the numerator and the denominator of (1/3) by 2 to get (2/6). This way, the denominators are the same and you can find the answer.
$\frac{1}{6} + \frac{2}{6} = \frac{3}{6}$
In the case that one denominator does not go into the other, find the smallest number they both multiply into. For example,
$\frac{1}{3 } + \frac{1}{4}$
Here, the smallest number that both 4 and 3 multiply into is 12. Multiply both fractions by the correct amount to make both denominators 12. It would then become
$\frac{4}{12} + \frac{3}{12} = \frac{7}{12}$
Subtraction: follow the same rules as addition, except subtract the numerators instead of adding them.

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$\frac{2}{3} \times \frac{4}{5} = \frac{8}{15}$
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$\frac{2}{3} \div \frac{4}{5}$
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Hope this explains it all. Let me know if you have any questions :)

4 0

3 years ago

Help me pleaseeeeeeeeee

ahrayia [7]

for 2 points A(xa;ya) and B(xb;yb)

the slope is (yb - ya) / (xb - xa)

here

the slope = 4 = (17-r) / (4-(-1))

(17-r) / 5 = 4

17 - r = 20

r = 17 - 20

r = - 3

point (-1 ; -3)

6 0

2 years ago

Which decimal is equivalent to 122/11

IgorLugansk [536]

$\dfrac{122}{11}=11.090909\ldots=11.\overline{09}\approx11.09$

3 0

3 years ago

A consumer affairs investigator records the repair cost for 4 randomly selected washers. A sample mean of $64.26 and standard de

Mashutka [201]

Answer:

Critical value: z = 1.28

The 80% confidence interval for the mean repair cost for the washers is between $46.487 and $82.033.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.80}{2} = 0.10$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$

So it is z with a pvalue of 1-0.1 = 0.9, so z = 1.28

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.28*\frac{27.77}{\sqrt{4}} = 17.773$

The lower end of the interval is the mean subtracted by M. So 64.26 - 17.773 = $46.487.

The upper end of the interval is M added to the mean. So 64.26 + 17.773 = $82.033.

The 80% confidence interval for the mean repair cost for the washers is between $46.487 and $82.033.

7 0

3 years ago

Write the slop-intercept form of the equation of each line. Please show your work.

solmaris [256]

Slope intercept form is : y = mx + b
as shown the line passes through (0,-3) so the y intercept is -3
The line now is y= mx - 3
the line passes through (4,-2) so substitute x=4, y = -2 to y=mx - 3, we have:
-2 = 4m -3 so m= 1/4

Ans: y = 1/4x -3
Plz vote me the brainliest ans (˘ ³˘)♥

8 0

3 years ago