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Paraphin [41]
3 years ago
8

Solve the following quadratic equation for all values of x in simplest form. 4(3x - 5)^2+5 = 13 (will give brainly)

Mathematics
1 answer:
adelina 88 [10]3 years ago
7 0

Answer:

Step-by-step explanation:

4(3x-5)^2+5=13

4(3x-5)^2+5-13=0

As  (a-b)^2=a^2-2ab+b^2

4((3x)^2-2(3x)(5)+(5)^2)-8=0

4(9x^2-30x+25)-8=0

36x^2-120x+100-8=0

36x^2-120x+92=0

using the Quadratic Formula where

a = 36, b = -120, and c = 92

x=(−bc± sqrt(b^2-4ac))/2a

x=(-(-120)±sqrt((−120)^2−4(36)(92))/2(36)

=120±sqrt(14400−13248−)/72

=120±sqrt(1152)/72

The discriminant b2−4ac>0

so, there are two real roots.

x=(120±24sqrt(2))/72

x=(120/72)±24sqrt(2)/72

implify fractions and/or signs:

x=5/3±sqrt(2)/3

hich becomes

x=2.13807

x=1.19526

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Explain how to create a Stem-and-Leaf plot using the 6 rules. And write down what the 6 rules are.
Ulleksa [173]

Answer:

The 6 rules/steps are below

Step-by-step explanation:

1. determine the smallest and largest number

2. Using the largest and smallest number, make sure that your graph can fit both of those numbers

3. identify the stems/tens place

4. fill in the leaves/ones place

5. Sort them from lowest to highest

6. Check

3 0
4 years ago
Its for a test and its urgent please help :)
geniusboy [140]

Answer:

<h2>34</h2><h2 />

Step-by-step explanation:

| 2 - 4a | - 2(b - 7)

let a = 3, b = -5

substitute a = 3, b = -5 into the equation:

| 2 - 4a | - 2(b - 7)

= | 2 - 4(3) | - 2(-5 - 7)

= | 2 - 12 | - 2(-12)

= | -10 | + 24

= 10 + 24

= 34

3 0
3 years ago
510 exercise books were shared among schools X, Y and Z. such that Z had 3/2 times as much as Y; and Y had 3 times as much as X.
ycow [4]
Overall, the goal is to find the value of x and then use this and the given total to find the percentage of x. First, to do this, we must set up our equations based on the given information.

x + y + z = 510

z = (3/2)y

y = 3x

Now, we can begin to solve with substitution. The ultimate goal is to get the first equation to be regarding one variable and them work backwards using that found value.
Substitute the 3rd equation into the second.

z = (3/2)(3x) ----> Simply
z = (9/2)x

Now, when we plug in z and y into the first equation, only x will be present.

x + (3x) + (9/2)x = 510 ---> Combine like terms.
4x + (9/2)x = 510 ---> Get a common denominator.

(8/2)x + (9/2)x = 510

(17/2)x = 510 -----> Multiply both sides by 2/17

Now, if you understand what you are looking at, you know that you just found your answer which is 2/17 because you are about to multiply that by the total.

2/17 = .12 × 100 = 12%

If you did not know that, you can continue solving and then find the answer using part over whole or the total books of school x divided by the total books from all schools. You will get the same answer!

x = (2/17)×510
x = 60

60/510 = .12 × 100 = 12%

I hope this helps!





8 0
4 years ago
7526.442 rounded to the nearest hundredth
AlladinOne [14]
Number > 5 - round up
Number = 5 - round up
Number < 5 - round and keep the number the same

7526.442

Hundredth = 2nd decimal place = 4

2 < 5 
Round and keep the number the same

7526.44
3 0
4 years ago
Please express your answer in scientific notation (2.56 x 10^6) x (3.56 x 10^2) = My answer - 9.1136 x 10^8
Flura [38]
I hope this helps you

7 0
3 years ago
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