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3 years ago

5/8 + 3/4 | -2/3 - 5/6

Mathematics

1 answer:

JulsSmile [24]3 years ago

8 0

Answer:

$- \frac{11}{12}$

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Line segment PQ, with endpoints graphed on a coordinate grid at P(2,-2) and Q(5,-2) is translated four units to the left and two

Oxana [17]

Answer: 3

Step-by-step explanation:

We know that since a translation is a rigid motion, and that rigid motions preserve distance, the length of the transformed segment is the same as the given line segment.

5 0

2 years ago

Help plzzzz! pre calc question

Mumz [18]

Answer:

$\sum^{\infty}_0 {(-3)^n}$

Step-by-step explanation:

Notice that the series: 1 - 3 + 9 - 27 +... clearly has powers of the factor 3 in its terms and it is also an alternate series (the terms alternate from positive to negative). The terms are positive for $a_0, a_2, a_4, ...$ (even terms) , while the odd terms $a_1, a_3, a_5, ...$ are negative. (so most likely there should be a factor (-1) in the common ratio.

We can then represent it with the following summation expression:

$\sum^{\infty}_0 {(-3)^n}$ given that each of its first four terms are:

$a_0=(-3)^0=1\\a_1=(-3)^1=-3\\a_2=(-3)^2=(-3)*(-3)=9\\a_3=(-3)^3=(-3)*(-3)*(-3)=-27$

7 0

4 years ago

In two or more complete sentences, explain how to use ordered pairs of points in x) = 2x + 5 and g(x)=

Naddika [18.5K]

Answer:

see the explanation

Step-by-step explanation:

we have

$A(x)=2x+5$

Find the inverse of A(x)

Let

y=A(x)

$y=2x+5$

Exchange the variables x for y and y for x

$x=2y+5$

Isolate the variable y

$2y=x-5$

$y=\frac{x-5}{2}$

Let

$g(x)=y$

$g(x)=\frac{x-5}{2}$ ------> function inverse of A(x)

Explanation

For x=1

Find the value of A(x)

$A(1)=2(1)+5=7$

The point (1,7) is a solution for A(x)

That means-----> The point (7,1) is a solution for the function inverse g(x)

Verify

For x=7

$g(7)=\frac{7-5}{2}=1$

The point (7,1) is a solution for g(x)

therefore

A(x) and g(x) are inverses of each other if the point (x,y) is a solution of A(x) and the point (y,x) is a solution of g(x)

8 0

3 years ago

house numbers on one side of a street are consecutive even integers. the sum of the first three house numbers on the street is 6

Vanyuwa [196]

Consecutive even integers..x, x + 2, x + 4

x + (x + 2) + (x + 4) = 6216
3x + 6 = 6216
3x = 6216 - 6
3x = 6210
x = 6210/3
x = 2070

x + 2 = 2070 + 2 = 2072
x + 4 = 2070 + 4 = 2074 <===house 3

4 0

3 years ago

Find lcm of 14 and 28 in vertical method

guapka [62]

Answer:

Step-by-step explanation:

We will keep dividing by prime numbers until both are one (we will only consider whole divisions)

```

14 28 | 2

7 14 | 2

7 7 | 7

1 1

Now we multiply the left collumn, to get the LCM

2 * 2 * 7 = 28

And this was the vertical method, ok?

7 0

3 years ago