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zavuch27 [327]
3 years ago
10

What are the values of c makes x^2 + 6x + c a perfect square trinomial? 3 6 9 12

Mathematics
1 answer:
alex41 [277]3 years ago
6 0

Answer:

<h2>c = 9</h2>

Step-by-step explanation:

(a+b)^2=a^2+2ab+b^2\\\\\text{We have}\ x^2+6x+c=x^2+2(x)(3)+c\\\\\text{Therefore}\ c=3^2=9\\\\x^2+2(x)(3)+3^2=(x+3)^2

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A number plus itself, plus twice itself, plus 4 times itself is equal to -104
NARA [144]

The scenario will will be represented by: x+x+2x+4x=-104

The number will be -13

Step-by-step explanation:

We have to convert the given situation into the mathematical form

Let x be the number

Then

"a number plus itself"

x+x

"plus twice itself"

x+x+2x

"plus 4 times itself"

x+x+2x+4x

"is equal to -104"

x+x+2x+4x=-104

This can also be written as:

x+x+2x+4x=-104\\8x=-104\\Dividing\ both\ sides\ by\ 8\\\frac{8x}{8}=\frac{-104}{8}\\x=-13

Keywords: Linear Equation

Learn more about linear equation at:

  • brainly.com/question/2150928
  • brainly.com/question/2154850

#LearnwithBrainly

7 0
3 years ago
Solve the inequality and Graph the solution. -3x-4&lt;19 PLEASE HELP!!!
Alisiya [41]
-3x-4<19
19+4=23
3x<23
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7 0
3 years ago
Find the area and side length of square AC EG .
Amiraneli [1.4K]
92 and 35 that the answer
4 0
2 years ago
Given: y = 3x - 4. What is the x-intercept? (0, -4) ( 4/3 , 0) (0, 4/3 )
Vera_Pavlovna [14]

This equation is in slope-intercept form of y = mx + b form.

The m represented by the coefficient of the x term

represents the slope and b represents the y-intercept.

So our y-intercept is -4 and we can write this as the ordered pair (0, -4).

3 0
2 years ago
A dessert manufacturer wanted to know if adding a preservative to their cupcakes extended their shelf life before going stale. T
aliina [53]

Answer:

The correct option is C) The results were not statistically significant but were practically significant.

Step-by-step explanation:

Consider the provided information.

They found that the difference in these shelf lives had a p-value of 0.24. Assume an α of 0.05.

We reject the null hypothesis if p value is less than α.

We are fail to reject null hypothesis if p value is greater or equal to α.

Here p value is greater than 0.05.

So, we do not reject null hypothesis and conclude that result is not statistically significant. But, there is a practical difference between 3 days and 7 days.

Therefore, the correct option is C) The results were not statistically significant but were practically significant.

8 0
2 years ago
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