MATHEMATICS HIGH SCHOOL

Simplify (3x2 − 3 + 9x3) − (4x3 − 2x2 + 16).x3 − 5x2 + 25
−x3 + x2 − 25
5x3 + x2 + 13
5x3 + 5x2 − 19

Answers

Answer 1
Answer: Answer: 5x³ + 5x² - 19
Answer 2
Answer:

Answer:

The answer is D

Step-by-step explanation:

Let's simplify step-by-step.

3x2−3+9x3−(4x3−2x2+16)

Distribute the Negative Sign:

=3x2−3+9x3+−1(4x3−2x2+16)

=3x2+−3+9x3+−1(4x3)+−1(−2x2)+(−1)(16)

=3x2+−3+9x3+−4x3+2x2+−16

Combine Like Terms:

=3x2+−3+9x3+−4x3+2x2+−16

=(9x3+−4x3)+(3x2+2x2)+(−3+−16)

=5x3+5x2+−19

Answer:

=5x3+5x2−19

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A solution containing 30% insecticide is to be mixed with a solution containing 50% insecticide to make 200 L of a solutions containing 42% insecticide. How much of each solution should be used?

Answers

Let x L of solution 1 is used 
and 2nd solution is (200-x)L

According to question,
30% of x + 50% of (200-x) = 42% of 200L
0.3x + 0.5(200-x) = 84
0.3x - 0.5x + 100= 84
0.2x = 16
x=80

Therfore 80L of solution 1 and 120L of solution 2 is mixed. 

Please help me with this ​

Answers

Seems like I've done a few of these already today.

1.

a[1] = 4, d=6

Formula: a[n] = 4 + 6(n-1)

a[40]=4 + 6(39) = 238

Table: 4 10 16 22 28 34   ...   a[40]=238

--------

2.

a[23]=25, d=3

a[n] = a[1] + d(n-1)

25=a[23]=a[1] + 3(22)

a[1] = 25 - 66 = -41

Table: -41 -38 -35 -32 -29 -26

Let's check a[23]= -41 + 3(22)= 25, good

Formula: a[n] = -41 + 3(n-1)

Select the correct answer.Mary deposited $350 in a bank account that promises 2.8 percent interest compounded continuously. Approximately how many years will it take to reach a balance of $500?

A.
1.43 years

B.
2.80 years

C.
5.55 years

D.
12.77 years

Answers

Answer:

2.80 years

Step-by-step explanation:

beacause it is simple that it will take option B . You

don't have to worry .

Consider quadrilateral EFGH.Quadrilateral E F G H is shown. Sides F G and E H are parallel. Angles E and H are congruent. The length of E F is 4 n minus 4, the length of F G is 3 n + 3, and the length of G H is 2 n + 6.

What is the length of line segment GH?

5 units
7 units
16 units
24 units

Answers

Given:

In quadrilateral EFGH, FG\parallel EH,\angleE\cong \angle H,EF=4n-4,FG=3n+3, GH=2n+6

To find:

The length of segment GH.

Solution:

Draw a figure according to the given information as shown below.

In quadrilateral EFGH, FG\parallel EH,\angleE\cong \angle H, it means the quadrilateral EFGH is an isosceles quadrilateral because base angles are equal.

Now, quadrilateral EFGH is an isosceles quadrilateral, so the sides EF and GH are equal.

EF=GH

4n-4=2n+6

4n-2n=4+6

2n=10

Divide both sides by 2.

n=(10)/(2)

n=5

Now,

GH=2n+6

GH=2(5)+6

GH=10+6

GH=16

Therefore, the correct option is C.

Answer:

the answer is C

Step-by-step explanation:

:]

Show the work for 2 divided by 50

Answers

first you would do this write out 50 divided by 2 as an equation and put how many times does 2 go into 5 and 2 goes into 5  two times so you put two over the 5 on top of the division house and do that number multiplied by the number your dividing by which is 2 and hat equals 4 so do 5 minus 4 and that equals 1 bring the zero thats beside the 50 down and make the number 1 a 10 and see how many times 2 goes into 10 and that is 5 so you put the five on top of the division house then do five times 2 and that equals 10 down and do 10 minus 10 which equals 00 and then your done your answer should be 25

The function of f(x) varies directly with x, and f(x)=48 when x=8.
Evaluate f(x) when x=2

Answers

Here's the equation for direct variation. k=y/x    [ f(x)=y]
Find k
k= 48/8=6
6=y/2
y=12
Hope this helps. 
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