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babunello [35]
3 years ago
13

Simplify (9x^3-4x+10)+(x^3+10x-9)

Mathematics
1 answer:
Alex3 years ago
6 0

Simplify

9x^3 - 4x + 10 + x^3 + 10x - 9

Collect like terms

(9x^3 + x^3) + (-4x + 10x) + (10 - 9)

Simplify

<u>10x^2 + 6x + 1</u>

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Determine the point of intersection between the lines with equations x+3y=5 and 3x−2y=26.
Zolol [24]

Answer:

the ans is :

Step-by-step explanation:

First, it would be helpful to draw a quick sketch of the lines. It helps to visualize the problem.

To find the intersection point, we need to find the point where x and y are the same value in both equations.

The line equations:

6x+2y=26 ................... 1

2x+3y=18 ................... 2

Can be rearranged to the common line equation form: y = mx + c

y = 13 - 3x ................... 3

y = 6 - 2/3 x ................. 4

At the intersection point, y will be equal for both equations. So, we can set 3 equal to 4 and solve for x.

13- 3x = 6 - 2/3 x

13 = 6 + 3x - 2/3x ....... add 3x to both sides

13 = 6 + 2 1/3x ........ simplify

7 = 2 1/3 x ........ subtract 13 from both sides

7 = 7/3 x ......... multiply both sides by 3/7

3 = x

To calculate the y-coordinate substitute x = 3 into 3.

y = 13 - 3x

y = 13 - 3(3)

y = 4

To check your answer, substitute the values for x and y into the other equation, 4.

The point of intersection is (3,4).

If you drew a sketch of the problem, you should be able to see that this point of intersection makes sense.

4 0
3 years ago
Read 2 more answers
How can one fourthx − 3 = one halfx + 8 be set up as a system of equations?
Delvig [45]
<span>The answer is B.

The reason being is that in this option they have set both sides of the equation separately equal to y. Since they are equal to each other, they would both have to be equal to an unknown y. This would look like this.
y = 1/4x - 3
y = 1/2x + 8.

Then to remove the fractions in each, they multiplied by the denominator associated with x. So, you multiply the first equation by 4.
4y = x - 12.
Then they solve for the numerical value at the end.
4y - x = -12.

You can do the same with the second equation.
y = 1/2x + 8
2y = x + 16
2y - x = 16

These are now the two equations above. </span>
6 0
3 years ago
Nick (austin?) spends $12 to buy 16 oranges how much dose Nick (austin?) spend per orange
crimeas [40]

Answer:

C. $1.33

Step-by-step explanation:

16 ÷ $12 = $1.33

3 0
3 years ago
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What is the total displacement of the object?
Yanka [14]

Answer:

562.5

Step-by-step explanation:

A = ½ (10 m/s + 35 m/s) (25 s)

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3 years ago
Answer quick 146-59 PLS​
tatyana61 [14]

Answer:

146 minus 59? equals 87 :)

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