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3 years ago

Solve (x-2)^2-3=1 graphically.

Mathematics

1 answer:

zimovet [89]3 years ago

8 0

we are given

$(x-2)^2-3=1$

we can seperate them

First function is

$y=(x-2)^2-3$

second function is

$y=1$

now, we can draw graph

and find intersection points

so, we can see that

intersection points are

(0,1) and (4,1)

so, solutions are

$x=0,x=4$ ...........Answer

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How do you write an equation of a line given y-intercept -8 and slope 3/4

Lostsunrise [7]

Answer:

$y = \frac{3}{4} x-8$

Step-by-step explanation:

You can us the equation y = m x + c to answer this question.

In ,

y = m x + c

m = slope

c = y - intercept

So, they have already given in the question that,

m = 3/4

c = (-8)

Therefore, you can simply put 3/4 and (-8) instead of m and c respectively like this.

y = m x + c

y = 3/4x - 8

Hope this helps you.

Let me know if you have any other questions :-)

4 0

3 years ago

Read 2 more answers

Make a ten or a hundred to add mentally 339+123

lianna [129]

9+3=12
30+20=50
300+100=400
Then add.
12+50+400=462
<span>So 339+123=462</span>

5 0

3 years ago

Find the midpoint of segment AB given. A (-3, 2) and B (3, -2)

Tasya [4]

$\text{The formula of the midpoint of segment AB:}\\\\\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right).\\\\\text{We have the points}\ A(-3,\ 2)\ \text{and}\ B(3,\ -2).\ \text{Substitute:}\\\\x=\dfrac{-3+3}{2}=\dfrac{0}{2}=0\\\\y=\dfrac{2+(-2)}{2}=\dfrac{0}{2}=0\\\\Answer:\ \boxed{(0,\ 0)}$

8 0

3 years ago

Mopeds (small motorcycles with an engine capacity below 50cm3) are very popular in Europe because of their mobility, ease of ope

d1i1m1o1n [39]

Answer:

a) 96.64% probability that maximum speed is at most 50 km/h

b) 24.67% probability that maximum speed is at least 48 km/h

c) 86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 46.8, \sigma = 1.75$