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baherus [9]
3 years ago
15

How to solve

la1" title=" \sqrt{4} x {}^{2} = x + 2" alt=" \sqrt{4} x {}^{2} = x + 2" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Vikentia [17]3 years ago
3 0

Answer:

➩ x=2,-\frac{2}{3}

Step-by-step explanation:

\sqrt{4x^2}=x+2

➨ We can also solve by completing both squares, however. Since we can pull out the square root.

\sqrt{4x^2}=|2x| ➩ Define of Absolute Value/Square Root

➩ \sqrt{x^2}=|x|

Thus, our new equation is ➩ |2x|=x+2

To solve an absolute-value equation, let there be two conditions.

➨ Where x ≥ 0

2x=x+2\\

Move x to another side

2x-x=2\\x=2

➨ Where x < 0

-2x=x+2\\-2x-x=2\\-3x=2\\x=\frac{2}{-3}\\x=-\frac{2}{3}

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What is 20% of 30% of 40% of $50
GarryVolchara [31]

20% of $50 = $10

30% of $50 = $15

40% of $50 = $20

Multiply 20% by $50

30% by $50

40% by %50

6 0
3 years ago
The linear function f(x) = 0.9x + 79 represents the average test score in your math class, where x is the number of the test tak
Levart [38]

Given:

The linear function for average test score in your math class is

f(x)=0.9x+79

where x is the number of the test taken.

The linear function g(x) in the given table represents the average test score in your science class, where x is the number of the test taken.

To find:

Part A: The test average for your math class after completing test 2.

Part B: The test average for your science class after completing test 2.

Part C: Which class had a higher average after completing test 4?

Solution:

Part A:

We have,

f(x)=0.9x+79

Put x=2 in the above function, to find the test average for your math class after completing test 2.

f(2)=0.9(2)+79

f(2)=1.8+79

f(2)=80.8

Therefore, the test average for your math class after completing test 2 is 80.8.

Part B:

From the given table it is clear that g(x) =79 at x=2.

Therefore, the test average for your science class after completing test 2 is 79.

Part C:

Put x=4 in f(x), to find the test average for your math class after completing test 4.

f(4)=0.9(4)+79

f(4)=3.6+79

f(4)=82.6

From the table it is clear that the value of g(x) is increased by 1 as x is increased by 1. So, the value of function g(x) at x=4 must be 1 more than 80.

g(4)=81

It is clear that,

82.6>81

Therefore, math class had a higher average after completing test 4.

3 0
3 years ago
A pro baseball team is having a promotion in which every 10th fan that enters the stadium gets a free hat and every 12th person
mixas84 [53]
Multiples of 10 = 10, 20, 30, 40, 50, 60
This means the 10th, 20th, 30th, 40th, 50th, 60th, ... fan will get a free hat.
Multiples of 12 = 12, 24, 36, 48, 60
This means the 12th, 24th, 36th, 48th, 60th, ... fan will get a free shirt.
So the 60th fan will receive both a hat and a shirt.
Meaning 60 fans will come to the stadium before a fan receives both a hat and a shirt.
3 0
3 years ago
The sum of two consecutive integers is − 17 -17. find the numbers
UkoKoshka [18]
I think it might be -76
4 0
3 years ago
the average of two numbers is 34. The second number is three times the first number. What are the two numbers?
zvonat [6]
Hey!To solve this problem, we need to set up two equations and use the system of equations to solve.

Let x be the first number.
Let y be the second number.

(x + y) ÷ 2 = 34
x = 3y

Now, we can use substitution to solve.

(3y + y) ÷ 2 = 34
4y ÷ 2 = 34
2y = 34
y = 17

Now, you plug the value of y in the equation to solve for x.

x = 3*17
x = 51
hope this helps!!
8 0
3 years ago
Read 2 more answers
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