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4 years ago

2 3/10 x 3 1/3 2 2/5 x -4 3/4

Mathematics

1 answer:

ruslelena [56]4 years ago

6 0

Answer:

the first one is 7.59 and your second answer is -11.4

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Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.

jeka94

Answer:

$x=4+2\sqrt{3}$

$x=4-2\sqrt{3}$

Step-by-step explanation:

<u>Completing the square</u>

when $ax^2+bx+c=0$

Given equation:

$3x^2-24x+40=28$

Subtract 40 from both sides:

$\implies 3x^2-24x=-12$

Divide both sides by 3:

$\implies x^2-8x=-4$

Add the square of half the coefficient of $x$ to both sides:

$(\frac{b}{2})^2=(\frac{-8}{2})^2=16$

$\implies x^2-8x+16=-4+16$

Factor the left side and simplify the right side:

$\implies (x-4)^2=12$

Square root both sides:

$\implies x-4=\pm\sqrt{12}$

Add 4 to both sides and simplify the radical:

$\implies x=4\pm\sqrt{4 \cdot 3}$

$\implies x=4\pm\sqrt{4}\sqrt{3}$

$\implies x=4\pm2\sqrt{3}$

5 0

2 years ago

Find the slope of each line. <br> a. 2x - 5y = 3<br> b. 3x + 2y = 4

Nana76 [90]

Answer:

a. 2x - 5y = 3

-5y = 3 - 2x

y = ( 3 - 2x ) / -5

slope = -2 / -5

slope for a. = 2/5

and in the sane way we find slope for b.

4 0

3 years ago

The number of students in a chess club decreased from 28 to 12. What is the percent decrease? Round your answer to the nearest p

loris [4]

9514 1404 393

Answer:

57%

Step-by-step explanation:

The percentage change is found from ...

percent change = ((new value) - (old value))/(old value) × 100%

= (12 -28)/28 × 100%

= -16/28 × 100% = -57%

The percent decrease is 57%.

3 0

3 years ago

H E L P M E P L E A S E !!!

Art [367]

Given:

The table of data values.

To find:

What is the percentage of 10th grade students are in 2 clubs.

Solution:

From the given table it is clear that the number of 10th grade students are in 2 clubs is 12.

Total number of students in 10th grade is:

$125+12+15=152$

Now, the percentage of 10th grade students are in 2 clubs is:

$\text{Required percentage}=\dfrac{\text{Number of 10th grade students are in 2 clubs}}{\text{Total number of students in 10th grade}}\times 100$

$\text{Required percentage}=\dfrac{12}{152}\times 100$

$\text{Required percentage}=\dfrac{1200}{152}$

$\text{Required percentage}\approx 7.89\%$

Therefore, the percentage of 10th grade students are in 2 clubs is 7.89%.

5 0

3 years ago

I need help with number 18 & 19 please

lora16 [44]

Number 19 I think is if you add the awnser to one of the numbers you where subtracting and you get the other number you where subtracting you are right like...

Lets say you had the problem 3-2 which is obviously 1 but if you did 2+1 it's 3 so that's how you check.

5 0

4 years ago