All categories

3 years ago

What happens when the two addends have opposite signs and the number with the larger magnitude (size) is positive?

Mathematics

1 answer:

zimovet [89]3 years ago

7 0

Answer:

The smaller addend is subtracted from the bigger addend

Step-by-step explanation:

Represent the two numbers with a and b such that a > b

So, the mathematical representation will be

$+a + (-b)$

Open the bracket

$+a -b$

This implies that the smaller addend (b) is subtracted from the bigger addend (b)

Take for instance; a = 6 and b = 4

This gives

$+6 + (-4)$

Open the bracket

$= +6 - 4$

$= 2$

You might be interested in

John is a quarterback. This year, he completed 350350350 passes, which is 70\%70%70, percent of all the passes he's attempted th

-Dominant- [34]

let 'x' represent the number of all the passes for the year

350 passes = 70% of all the passes

350 passes = 70% of x

0.70x = 350

by solving we find:

x = 500 passes

6 0

3 years ago

Please match each function formula with the corresponding transformation of the parent function y= -x^2-1

pishuonlain [190]

Answer:

The answer in the attached figure

Step-by-step explanation:

we have the parent function

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

case 1) Reflected across the x-axis

we know that

The rule of the transformation is

(x,y)------> (x,-y)

$y=-(-x^{2}-1)$

$y=x^{2}+1$

case 2) Reflected across the y-axis

we know that

The rule of the transformation is

(x,y)------> (-x,y)

$y=-(-x)^{2}-1$

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

case 3) Translated left by 1 unit

we know that

The rule of the transformation is

(x,y)------> (x-1,y)

$y=-(x+1)^{2}-1$

case 4) Translated right by 1 unit

we know that

The rule of the transformation is

(x,y)------> (x+1,y)

$y=-(x-1)^{2}-1$

case 5) Translated down by 1 unit

we know that

The rule of the transformation is

(x,y)------> (x,y-1)

$y=-(x)^{2}-1-1$

$y=-(x)^{2}-2$

case 6) Translated up by 1 unit

we know that

The rule of the transformation is

(x,y)------> (x,y+1)

$y=-(x)^{2}-1+1$

$y=-(x)^{2}$

8 0

3 years ago

Give a direct proof for each of the following statements about the integers.

kkurt [141]

Answer:

See explanation below

Step-by-step explanation:

If x is even, then we know that x = 2k for a k ≥1

If y is odd, then we know that y = 2j -1 for a j≥1

Therefore, x + y can be written similarly as:

$x+y$

$2k +(2j-1)\\2(k+j)-1$

And clearly, 2(k + j) -1 is odd.

Therefore, the sum x + y is an odd number.

6 0

3 years ago

Another unit used to measure computer memory is a bit. There are 8 bits in a byte. Explain how you can convert the number of byt

soldier1979 [14.2K]

Answer:

By multiplying the number of bytes times 8

Step-by-step explanation:

Since there "8" bits in each byte, if we are given any "N" number of bytes, the number of bits included will be the product of N times 8.

5 0

4 years ago

PLEASE ANSWER

charle [14.2K]

Answer:

The slope intercept form is $y=\frac{1}{2}x-5$

Step-by-step explanation:

Given : Equation $y+3=\frac{1}{2}(x-4)$

To find : Rewrite the equation in slope-intercept form ?

Solution :

The slope-intercept form is $y=mx+c$

Equation $y+3=\frac{1}{2}(x-4)$

$y+3=\frac{1}{2}x-\frac{1}{2}\times 4$

$y+3=\frac{1}{2}x-2$

$y=\frac{1}{2}x-2-3$

$y=\frac{1}{2}x-5$

Therefore, the slope intercept form is $y=\frac{1}{2}x-5$

3 0

4 years ago