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2 years ago

Please help pictures are down below

Mathematics

1 answer:

pshichka [43]2 years ago

6 0

(x,y)->(x-6,-y)
Traigle ABC is shifted left by 6 units and reflected over the x axis.

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Solve the equation: <img src="https://tex.z-dn.net/?f=5%5Ex%5E%28%5Ex%5E-%5E1%5E%29%3D1" id="TexFormula1" title="5^x^(^x^-^1^)=1

Tomtit [17]

<u>The concept:</u>

We are given the equation:

$5^{x(x-1)} = 1$

Which can be simplified as:

$5^{x^{2} - x} = 1^{1}$

Since any number to the power '0' is 1

x² - x must be equal to 0 for the given equation to be true

<u></u>

<u>Solving for x:</u>

x² - x = 0

x(x-1) = 0

now, we can divide both sides by either x OR x-1

So we will see what we get for either choice:

x = 0/(x-1) x-1 = 0/x

x = 0 x = 1

Hence, the value of x is either 0 or 1

7 0

3 years ago

The data set shown below has an outlier. Determine the outlier and then answer the questions as to what happens to the median, m

Pachacha [2.7K]

The mean is the average value of the given data set. When the outlier is removed the mean and the median of the data set are changed.

<h3>What are mean, median, and mode?</h3>

The mean is the average value of the given data set.
The median is the middle value of a given data set when the data is arranged in increasing order.
The mode is the number that is repeated the most number of times in a given data set.

The data set can be arranged as 12, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27, 28, 29, 30, 32, 35, 48. Now, The means, median and mode for the data set is,

Mean = (29+19+35+27+21+48+23+12+24+26+20+28+30+22+19+32+22) / 17

Mean = 25.7

Median(The middle value when the data is arranged in increasing order) = 24

Mode = 19,22

The outlier in the data set is 48, therefore, the mean median and mode now will be,

12, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27, 28, 29, 30, 32, 35

Mean = 24.3125

Median = 23.5

Mode = 19, 22

Hence, when the outlier is removed the mean and the median of the data set are changed.

Learn more about Mean, Median, and Mode:

brainly.com/question/15323584

#SPJ1

4 0

2 years ago

H = −8(3t − 3)(t + 2)

sergejj [24]

Answer

she be -5

Step-by-step explanation:

8 0

3 years ago

The graph of function f is shown above. if g(x)=x^2/f(x) what is the value of g'(1)?

Alla [95]

Answer:

Step-by-step explanation:

Find the equation of the segment going from (0,-5) to (3,7)

y intercept = -5

Slope = (-5 - 7) / (0 - 3) = -12/-3 = 4

equation: y = 4x - 5

g(x) = x^2 / f(x)

f(x)= (4x - 5)

g(x) = x^2 / (4x - 5)

g'(x) = x^2 * (4x - 5)^-1

g'(x) = 2x*(4x - 5)^-1 + (-1) *4* x^2 (4x - 5)^-2

I will leave that monster the way it is and just find g'(1)

g'(1) = 2(1) * (4(1) - 5)^-1 + (-1) (1)^2 *4* (4(1) - 5)^-2

g'(1) = 2(1) * (-1)^-1 + (-1) (1)^2 *4 * (-1)^2

g'(1) = -2 + (-1) (1)^2 (4)

g'(1) = - 2 + (-1) (1)^2 (4)

g'(1) = - 2 - 4

g'(1) = - 6

7 0

2 years ago

Round 969.991 to the nearest whole number

Serga [27]

970 is the answer. :)

3 0

3 years ago