All categories

3 years ago

What is the product? (4x)(-3x^8)(-7x^3)

Mathematics

1 answer:

SashulF [63]3 years ago

5 0

Answer:

84x¹²

Step-by-step explanation:

To simplify this expression, we work from left to right:

4x(-3x⁸)(-7x³)

Multiplying the coefficients of the first two, we have 4(-3) = -12. Using the laws of exponents, multiplying powers with the same base means we add the exponents; this gives us x(x⁸) = x¹⁺⁸ = x⁹. This gives us

-12x⁹(-7x³)

Multiplying the coefficients, we have -12(-7) = 84. Using the laws of exponents, for the variable we have x⁹(x³) = x⁹⁺³ = x¹²

This gives us

84x¹²

You might be interested in

The vertex of a parabola can be:

borishaifa [10]

Answer:

c. Either a minimum or a maximum

Step-by-step explanation:

considering that a parabola can grow or decrease from its vertex we can note that in the case of a parabola with the branches down the vertex will always be a maximum, and in the case of a parabola with the branches up it will always be a minimum.

5 0

3 years ago

How to put 2y=-8+1 into slope intercept form

saveliy_v [14]

2 y = - 8 + 1

2 y = - 7

y = - 7 / 2

Graphic Image attached..

hope this helps!

6 0

4 years ago

Roll a die 10 sided die 3 times. What is the probability that the sequence is strictly increasing or decreasing?

snow_lady [41]

Answer:

The probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.

Step-by-step explanation:

We have 10 possible outcomes on a single throw.

So, outcomes in 3 throws = $10^{3} =1000$ outcomes.

Let x be the number of strictly increasing arrangements.

Let y be the number of strictly decreasing arrangements.

Let z be the number of outcomes that are neither strictly decreasing nor strictly increasing

So, we have $x+y+z=1000$

If we look at a strictly increasing arrangement from the other/opposite side, it will look like a strictly decreasing arrangement.

So, x = y

Hence, we can say the final equation will be :

$2x+z=1000$

And for strictly increasing arrangements ,all 3 numbers will be different and it can be done in 10C3 ways.

10C3= $\frac{10!}{3!7!}$ = 120 ways

So, $2x=2\times120=240$

Thus $z=1000-240=760$

So, the probability is = $\frac{760}{1000} = 0.76$

Therefore, the probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.

4 0

3 years ago

Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and

ser-zykov [4K]

For this case we have the following equation:
$7x - 10y = 3
$
From here, we must substitute ordered pairs of the form:
(x, y)
If the ordered pair satisfies the equation, then it belongs to the line.
We have then:

For (8, 5):
We substitute the following values:
$x = 8

y = 5

7 (8) - 10 (5) = 3

56 - 50 = 3

6 = 3$
We observe that the equation is not satisfied and therefore, this point does not belong to the line.
Since one of the points does not belong to the line, then the equation is not a good model.

Answer:
It is not a good model. One of the points does not belong to the line.

4 0

3 years ago

Read 3 more answers

Explain why the equation 5(2x+1)-2=6x+5 has only one solution. Then find the solution.

netineya [11]

Answer:

10x + 3 = 6x + 5

Based on this, we have the lines y=10x+3 and y=6x+5. Both of the equations are linear, so they are straight lines when graphed. A system of straight lines can only have one solution maximum.

Solution:

x = 1/2

y = 8

(1/2 , 8)

Step-by-step explanation:

Start by expanding with the distributive property, then simplify by collecting like terms.

5(2x + 1) - 2 = 6x + 5 Multiply "5" with each term in the brackets.

10x + 5 - 2 = 6x + 5 Collect left side's like terms (5 - 2 = 3)

10x + 3 = 6x + 5

Based on this, we have the lines <u>y=10x+3 and y=6x+5</u>. A solution is the same as the POI (point of intersection). Both of the equations are linear, so they are straight lines when graphed. A system of straight lines can only have one solution maximum.

Some linear systems might have no solutions (when the lines are parallel) or infinite solutions (when the lines are equivalent, the same).

To find the solution, continue with the equation and isolate "x". This will give you the x-coordinate of the point of intersection.

To isolate 'x', move everything to the other side of 'x'. To move something, you do its reverse operation to both sides in reverse BEDMAS order.

10x + 3 = 6x + 5

10x - 6x + 3 = 6x - 6x + 5 Subtract 6x from both sides

4x + 3 = 5 "6x" cancelled out on the right. Simplified left (10x-6x=4x)

4x + 3 - 3 = 5 - 3 Subtract 3 on both sides. "3" on the left will cancel out

4x = 2 The right side was simplified (5 - 3 = 2).

4x/4 = 2/4 Divide both sides by 4 to isolate 'x'. Simplify right side.

x = 1/2 Solution's x-coordinate

Substitute what you found for 'x' into any equation that has 'y' (either <u>y=10x+3 or y=6x+5</u>). I will choose the first equation.

y = 10x + 3

y = 10(1/2) + 3 Multiply 1/2 and 10

y = 5 + 3 Add

y = 8 Solution's y-coordinate

Therefore the solution is when x=1/2 and y=8, or as an ordered pair, (1/2 , 8).

8 0

3 years ago