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2 years ago

Which property is illustrated by the statement (4+6.1)+7=4+(6.1+7)

Mathematics

2 answers:

Slav-nsk [51]2 years ago

6 0

Answer: It is an associative property of addition.

Step-by-step explanation:

Since we have given that

(4+6.1)+7=4+(6.1+7)

As we know that "Associative property":

$(a+b)+c=a+(b+c)$

Associativity in addition means that adding three numbers and then change the order of numbers and then add it again, we will get the same answer.

So,

$(4+6.1)+7=10.1+7=17.1\\\\Similarly,\\\\4+(6.1+7)=4+13.1=17.1$

Hence, it is an associative property of addition.

yanalaym [24]2 years ago

3 0

A+(b+c)=(a+b)+c
This is the associative property.

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Let f(x) = xe^-x+ ce^-x, where c is a positive constant. For what positive value of c does f have an absolute

Illusion [34]

Answer:

$c=6$

Step-by-step explanation:

The absolute maximum of a continuous function $f(x)$ is where $f'(x)=0$ . Therefore, we must differentiate the function and then set $x=-5$ and $f'(x)=0$ to determine the value of $c$ :

$f(x)=xe^{-x}+ce^{-x}$

$f'(x)=-xe^{-x}+e^{-x}-ce^{-x}$

$0=-(-5)e^{-(-5)}+e^{-(-5)}-ce^{-(-5)}$

$0=5e^{5}+e^{5}-ce^{5}$

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2 years ago

There are 95 white pieces of paper in a hat along with 5 blue pieces of paper. What is the theoretical probability that a blind-

sp2606 [1]

Answer:

Step-by-step explanation:

Probability is the likelihood of an event taking place.

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-The theoretical first attempt probability is equivalent to the number of each paper divided by the total:

$P(blue)= \frac{no \ of \ blue}{total}\\\\=\frac{5}{100}\\\\=0.05$

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3 years ago

What is the equation of the line described below written in slope-iWhat is the equation of the line described below written in s

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The equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1

<h3>Equation of a line</h3>

A line is the shortest distance between two points. The equation of a line in point-slope form and perpendicular to a line is given as;

y - y1 = -1/m(x-x1)

where

m is the slope

(x1, y1) is the intercept

Given the following

Point = (4, -1)

Line: 2x-y - 7 = 0

Determine the slope

-y = -2x + 7

y= 2x - 7

Slope = 2

Substitute

y+1 = -1/2(x -4)

Write in slope-intercept form

2(y + 1) = -(x - 4)

2y+2 = -x + 4

2y = -x + 2

y = -1/2 + 1

Hence the equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1

Learn more on equation of a line here: brainly.com/question/13763238

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2 years ago

If line a is perpendicular to line b and the slope of line a is 7 whats the slope of line b

amm1812

Answer:

If a line is perpendicular to another line, that means that the slope is completely opposite that of the original line. The first thing that we do to the slope is we negate the number which means that if we have a slope of $-7$ our slope because $7$ in this step. In our case our slope is $7$ so in this step it becomes $-7$ .

Moving onto the second part which is to get the reciprocal of the number which means that if we have $\frac{1}{2}$ then we would switch it to $2$ . In our case our number is $-7$ so we would make that into a fraction like this $-\frac{1}{7}$ .