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polet [3.4K]
4 years ago
5

Which equation has the same solution as x^2-6x-14=0

Mathematics
2 answers:
SSSSS [86.1K]4 years ago
4 0
B. X^2-6x. =14
Half of -6 is -3 and -3^2=9 so add 9 to both sides
X^2-6x+9 = 14+9
(X-3)^2= 23
aev [14]4 years ago
3 0

Answer:

(x-3)² = 23                          Option B

Step-by-step explanation:

Given quadratic is :

x² - 6x - 14 = 0

Use complete the square method

Move loose term from left side to right side.

x² - 6x = 14

add both the side square of half coefficient of x that is,

half of -6 = -3

square of -3 = 9

Add both the side 9

x² - 6x + 9 = 14 + 9

(x - 3)² = 23

this is same as (x-3)²=23       second option

That's the final answer.

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The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:
Ludmilka [50]
The answer should be 1:5
5 0
3 years ago
Read 2 more answers
Which expressions are equivalent to 6 + 12x
serious [3.7K]

Answer:

A,C and D

Step-by-step explanation:

A: 3x2=6

    3x4X=12X

     <em>6+12X</em>

C: 5x1=5

    5x2X=10X

    5+10X+1+2X

   <em>6+12X</em>

D: 7x1=7

    7x2X=14X

     7+14X-2X-1

     6+14X-2X

     <em>6+12X</em>

4 0
3 years ago
at a school number of boys : number of girls =9:7. There are 116 more boys than girls. Work out the total number of students at
Amanda [17]
X=number of boys.
y=number of girls.
we suggest this system of equation
x/y=9/7
x=y+116
We solve this system of equation by substitution method.
(y+116)/y=9/7
7(y+116)=9y
7y+812=9y
9y-7y=812
2y=812
y=812/2=406

x=y+116
x=406+116=522

answer: At the school there are 522 boys and 406 girls.

to chek.
522/406=1.2857...
9/7=1.2857...

The number of boys (522) is equal to 406+116=522.
5 0
4 years ago
Read 2 more answers
Evaluate [(21 + 6) − 3^2] ÷ 9 ⋅ 2. (1 point)
elena-14-01-66 [18.8K]

Answer:

4.

Step-by-step explanation:

[(21 + 6) − 3^2] ÷ 9 ⋅ 2.

First work out the parentheses:

= ( 27 - 3^2) / 9 . 2.

Now the exponential:

= (27 - 9) / 9 . 2

=  18/9 .2

= 2 . 2

= 4.

4 0
3 years ago
Would like this problem broken down step by step thanks!
antiseptic1488 [7]

Answer:

m=12

Explanation:

Given any quadratic function, y=ax²+bx+c.

We can determine the nature of the roots of such quadratic function by examining the discriminant, D where:

D=b^2-4ac

• If D>0, the roots are real and unequal.

,

• If D=0, the roots are real and equal.

,

• If D<0, the roots are complex.

In our given equation:

\begin{gathered} y=18x^2+mx+2 \\ a=18,b=m,c=2 \end{gathered}

For the function to have exactly one zero, the value of D=0.

\begin{gathered} D=b^2-4ac=m^2-4(18)(2)=m^2-144 \\ D=0\implies m^2-144=0 \\ Add\text{ 144 to both sides.} \\ m^2=144 \\ Take\text{ the square root of both sides} \\ \sqrt{m^2}=\sqrt{144} \\ m=12 \end{gathered}

The value of m for which the function will have one zero is 12.

4 0
1 year ago
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