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Cerrena [4.2K]
3 years ago
5

Solve the quadratic equation by the square root property 6x2=54

Mathematics
1 answer:
anyanavicka [17]3 years ago
8 0

6x^2=54\qquad|\text{divide both sides by 6}\\\\x^2=9\to x=\pm\sqrt9\\\\\boxed{x=-3\ \vee\ x=3}

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Help plz:))) I’ll mark u brainliest
eimsori [14]
X=-1 give me thanks :)
3 0
3 years ago
At lunch 3 1/4 small pizzas were equally divided amping students. If each student ate 1/4 of a pizza, how many students were fed
Vilka [71]

Answer:

13 students were fed

Step-by-step explanation:

now first in order to count we will have to turn 3 1/4 into a whole number which means we will have to multiply the denomintor by 3 and add it to the numerator which is 1

4 x 3= 12 ..... 12 + 1 = 13  

13/4  and the denominator always stays the same

and now to count we will have to divide 13/4 divided by 1/4

now instead of dividing you can just multiply them by switching the denominator and numerator  1/4  to  4/1  

13/4 x 4/1

52/4

13


5 0
3 years ago
Candice needs a plumber and must decide between 2 companies. For a service visit, Company A charges $60 to send a plumber plus $
Ber [7]
Since they meet at the $105 mark the answer would be $105
7 0
3 years ago
Can someone please help me with my Question #29 of The Quadratic Relations for me please?
lara [203]

Answer:

Calculate the <u>first differences</u> between the y-values:

\sf 3 \underset{+1}{\longrightarrow} 4 \underset{+3}{\longrightarrow} 7 \underset{+5}{\longrightarrow} 12 \underset{+7}{\longrightarrow} 19

As the first differences are <u>not the same</u>, we need to calculate the <u>second differences</u>:

\sf 1 \underset{+2}{\longrightarrow} 3 \underset{+2}{\longrightarrow} 5 \underset{+2}{\longrightarrow} 7

As the second differences are the <u>same</u>, the relationship between the variable is quadratic and will contain an x^2  term.

--------------------------------------------------------------------------------------------------

<u>To determine the quadratic equation</u>

The coefficient of x^2  is always <u>half</u> of the <u>second difference</u>.

As the second difference is 2, and half of 2 is 1, the coefficient of x^2 is 1.

The standard form of a quadratic equation is:  y=ax^2+bx+c

(where a, b and c are constants to be found).

We have already determined that the coefficient of x^2 is 1.

Therefore, a = 1

From the given table, when x=0, y=12.

\implies a(0)^2+b(0)+c=12

\implies c=12

Finally, to find b, substitute the found values of a and c into the equation, then substitute one of the ordered pairs from the given table:

\begin{aligned}\implies x^2+bx+12 & = y\\ \textsf{at }(1,19) \implies (1)^2+b(1)+12 & = 19\\ 1+b+12 & = 19\\b+13 & =19\\b&=6\end{aligned}

Therefore, the quadratic equation for the given ordered pairs is:

y=x^2+6x+12

7 0
2 years ago
What is the value of x?
Inessa [10]

Answer:

x=70

Step-by-step explanation:

45+2x-5=180

40+2x=180

2x=140

x=70

3 0
3 years ago
Read 2 more answers
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