What is (4x-2)*6(2x+7) in quadratic expression

Answers

Answer 1

Answer: 48x^2+144x-84 is your answer :)

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Mr. Li records the measures of the lengths of his students’ handprints. The lengths, in centimeters, are shown in the table.14.0 , 11.5 , 12.1 , 16.2 , 13.5 , 14.3 , 16.8
12.4 , 13.7 , 12.0 , 14.7 , 15.2 , 11.9 , 15.6
13.8 , 14.2 , 12.5 , 15.0 , 16.0 , 13.1 , 11.7

If the class creates a histogram of the data in the table, how many students are in the range 12 cm to 13.9 cm?

1) 3
2) 4
3) 7
4) 8

Answers

The correct answer is:

4) 8

Explanation:

We want to find the frequency of this range. To do this, we count how many values fall between 12.0 and 13.9. There are 8 total values that do this, so the answer is 8.

In the given data set, there are 7 values in the given range.

How many students are in the range 12 cm to 13.9 cm?

Here we just need to find the number of values between 12cm and 13.9 cm, from the given table, these are:

12.1 cm, 13.5 cm, 12.4 cm, 13.7 cm, 13.8 cm, 12.5 cm, 13.1 cm

So there are 7 values in the given range, which means that 7 students are in the range of 12cm and 13.9cm.

Then the correct option is the third one.

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Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the solution is made up of a 20% acid solution. The remaining three-quarters is made up of a solution of unknown concentration, c.Which equation can be used to determine c, the unknown concentration?

Answers

Taking the 3 solutions as 3 different terms, we can create an equation as follows:

Solution 1 : 10mL with 20% acid
Solution 2 : 30mL with x% acid
Solution 3 : 40mL with 32% acid

Since solution 1 + solution 2 = solution 3, let us substitute the given values we have:

10(0.2) + 30(x) = 40(0.32)
2 + 30x = 12.8

To solve for the unknown concentration x, we subtract 2 from both sides:
2 + 30x - 2 = 12.8 - 2
30x = 10.8

Dividing both sides by 30:
30x/30 = 10.8/30
x = 0.36

Therefore the unknown solution is 36% acid.

Answer:

Therefore the unknown solution is 36% acid.

Step-by-step explanation:

Two equations are given below:a – 3b = 16
a = b – 2

What is the solution to the set of equations in the form (a, b)?

(–2, –6)
(–7, –9)
(–11, –9)
(–12, –10)

Answers

Good Morning

a-3b=16

a=b-2

Solve a=b -2 for a

Substitute b-2 for a in a-3b=16

a-3b=16

b-2-3b=16

Simplify both sides of the equation

-2b-2=16

Add 2 to both sides

-2b-2+2=16+2

-2b=18

Divide both sides by -2

-2b/-2 = 18/-2

b= -9

Substitute -9 for b in a=b -2

a=b -2

a=-9-2

Simplify both sides of the equation

a= -11

Answer: (-11,-9)

I hope that's help !

Happy Sunday :)

Answer:

The solution to the set of equations is (-11, -9).

Step-by-step explanation:

Solve this inequality: 3b – 7 < 32

Answers

3b - 7 < 32=> 3b < 32 + 7=> 3b < 39=> b < 39÷ 3=> b < 13Hope it helps !!!

The solution to the inequality 3b - 7 < 32 is b < 13.

To solve the inequality 3b - 7 < 32, we can isolate the variable b.

Let's add 7 to both sides of the inequality:

3b - 7 + 7 < 32 + 7

Simplifying:

3b < 39

Now, divide both sides of the inequality by 3:

(3b)/3 < 39/3

Simplifying further:

b < 13

Therefore, the solution to the inequality 3b - 7 < 32 is b < 13.

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P is the incenter of QRS. Use the given information to determine find the indicated measure.

Answers

The incenter is equidistant from all three triangle sides.
So, PJ = PK = PL.
PJ = 4x -8
PL = x + 7

Therefore,
4x -8 = x + 7
3x = 15
x = 5
So, PJ = 12
PL = 12 and
PK = 12

19 of the 23 participants in a triathlon are men and the rest are women. What is the ratio of the number of women participating to the total number of participants?

Answers

Answer:

3:23

Step-by-step explanation:

If 19 of the 23 participants in a triathlon are men then that means there are 4 participants that are women

so the ration would be 4 women for the 23 participants

Final Answer:

The ratio of the number of women participating to the total number of participants in the triathlon is 4:23.

Explanation:

In a triathlon, there are 23 participants in total, with 19 of them being men. To find the ratio of women to the total number of participants, we first need to determine the number of women participating.

To do this, subtract the number of men (19) from the total number of participants (23):

23 (total participants) - 19 (men) = 4 women

Now that we know there are 4 women participating, we can calculate the ratio:

Number of women : Total number of participants

4 : 23

So, the ratio of the number of women participating to the total number of participants is 4:23.

Learn more about Ratio

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W(-3)=-3+7Find W(-3)=