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3 years ago

Name the number property illustrated by thisequation:-2(–3 + 7) = -2(-3) + (-2)(7)

Mathematics

2 answers:

erica [24]3 years ago

5 0

Answer:

The distributive property of multiplication

Step-by-step explanation:

<u>explanation</u>:-

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first can be distributed to both of those numbers and multiplied by each of them separately,then adding the two products together for the same result as multiplying the first number by sum.

a(b+c) = a.b + a.c

so -2 ( -3+7) = -2(-3) + (-2)(7)

-8 = 6 -14

-8 = - 8

give data we will use distributive property of multiplication

Andreas93 [3]3 years ago

5 0

Answer:

distributive property of multiplication

Step-by-step explanation:

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kipiarov [429]

Answer:

Step-by-step explanation:

For A, 7x=21, it is asking, 7 multiplied by what number is 21? We can try to figure it out. Let's start with 0.

7(0)≠21

Then 1.

7(1)≠21

7(2)≠21

7(3)=21

Therefore, for question a, the answer is 3.

For question b, it's asking 6 minus what is 2.

With this one, we can say it is 4, since 6-4=2.

Now moving on to B.

a) 2x+4=16

We need to isolate x in order to find it's value.

So we can begin with subtracting 4 from both sides, getting us:

2x=12

Then, if we divide both terms by 2, we get x.

x=12/2

x=6.

3 x (z/4)=9

Again, we need to isolate z.

So, we multiply both sides by 4, getting us

3z=36

then we divide by 3

z=36/3

z=12

c) 16-x=2

Here we simply subtract 16 from each side, then flip the signs to get positive x.

So, 16-x=2

-x=-14

x=14

d) 4k=20

This is essentially asking, 4 times what number is 20?

So we can divide both sides by 4 and get

k=20/4

k=5

5 0

3 years ago

In the coordinate plane, the point A, 4− 2 is translated to the point A′, 1− 5. Under the same translation, the points B, 7− 4 a

Inga [223]

Answer:

The coordinates of B' and C' are $B'(x,y) = (4, -7)$ and $C'(x,y) = (-1, -8)$ , respectively.

Step-by-step explanation:

From the Linear Algebra, we define the translation of a given point as:

$O'(x,y) = O(x,y) + T(x,y)$ (1)

Where:

$O(x,y)$ - Original point, dimensionless.

$T(x,y)$ - Translation vector, dimensionless.

$O'(x,y)$ - Translated point, dimensionless.

If we know that $A'(x,y) = (1, -5)$ and $A(x,y) = (4,-2)$ , then the translation vector is:

$T(x,y) = A'(x,y)-A(x,y)$ (2)

$T(x,y) = (1,-5)-(4,-2)$

$T(x,y) = (-3,-3)$

If we know that $B(x,y) = (7,-4)$ , $C(x,y) = (2,-5)$ and $T(x,y) = (-3,-3)$ , then the translated points are, respectively:

$B'(x,y) = B(x,y)+T(x,y)$ (3)

$B'(x,y) = (7,-4) +(-3,-3)$

$B'(x,y) = (4, -7)$

$C'(x,y) = C(x,y) +T(x,y)$

$C'(x,y) = (2,-5) + (-3,-3)$

$C'(x,y) = (-1, -8)$

The coordinates of B' and C' are $B'(x,y) = (4, -7)$ and $C'(x,y) = (-1, -8)$ , respectively.

5 0

3 years ago

You deposit $800 in an account. The account earns $360 simple interest in 3 years. What is the annual interest rate?

Maru [420]

Answer:

15%

Step-by-step explanation:

We have the followign simple interest formula

FV (aka AV)=PV(1+it)

which means that we have

(800+360)=800(1+3i)

1.45=1+3i

.45=3i

.15=i

15%

4 0

3 years ago

Consider the function graphed below. What is the average rate of change of the function over the interval [1, 3]?

EleoNora [17]

The correct answer is B. 36.

8 0

3 years ago

Don't judge me please cause I'm just learning it but what is the mean in mean median and mode

SashulF [63]

Answer:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.

Step-by-step explanation: hope this helps ^^

3 0

3 years ago

Name the number property illustrated by thisequation:-2(–3 + 7) = -2(-3) + (-2)(7)​

Name the number property illustrated by thisequation:-2(–3 + 7) = -2(-3) + (-2)(7)