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Snezhnost [94]
3 years ago
7

Tricia completed the square of the quadratic function f(x)=x^2+14x+2 and determined the coordinates of the minimum value are (-7

,-47). which equation must be Tricia's result? a. f(x)=(x+7)^2-47 b.f(x)=(x+7)^2+47 c. f(x)=(x-7)^2-47 d. f(x)=(x-7)^2+47
Mathematics
1 answer:
eduard3 years ago
8 0
To complete the square you halve the coefficient of the x term and square it. Half of 14 is 7 and 7² is 49. So we add 49 and subtract 49, which means we are not changing the value of the quadratic. So we have x²+14x+49-49+2. This can be written: (x²+14x+49)-49+2, which is (x+7)²-47, which is answer a.
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What value for x will make the equation true?
Rama09 [41]

Answer:

C . 4

Step-by-step explanation:

step 1 : -3 multiply with inside of the ( 7x-5 )

= -21x + 15

step 2 : then it will be 21x + 15 = 87 + 3x

step 3 : switch between the odds into like this

21x - 3x = 87 - 15

step 4 : subtract it all

18x = 72

step 5 : bring 18 to the other side

x = 72/18

step 6 : to find the ans of x is just calculate them

x = 72 ÷ 18

= 4

Or you can do like these ⬇️

-3 ( 7x - 15 ) = 87 + 3x

21x + 15 = 87 + 3x

21x - 3x = 87 - 15

18x = 72

x = 72/18 or 72÷18

x = 4

4 0
2 years ago
A line is shown in the graph below.
kondaur [170]

Answer:

-2/3

Step-by-step explanation:

This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m. For example, we found that the slope of the line y = (1/2)x + 3 is 1/2. This is why any line that is perpendicular to this line would have slope -2 /1 = -2.

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Voting for the government to institute a price below market equilibrium, the price ceiling, is a great way to get more gas to pe
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PLEASE HELP AND ANSWER RIGHT AWAY! I'M TERRIBLE AT MATH!
Free_Kalibri [48]
1 \frac{1}{2} = \frac{3}{2}\\\\2 \frac{1}{2} = \frac{5}{2}\\\\\\\\\frac{3}{2} \times \frac{5}{2} = \frac{3\times 5}{2\times 2} = \huge{\boxed{\frac{15}{4}=3\frac{3}{4}}}
7 0
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What is the median for the following set of data? 2, 3, 6, 8, 9, 10, 11
Inessa05 [86]

Answer:

The median value will be 8.

Step-by-step explanation:

The simplest way to think of a median is as a sort of "middle" value. We want to arrange our numbers from lowest to highest, then select the one in the middle. Here is another example:

3, 5, 2, 7, 3, 9, 1, 4, 7

The first step is to order these numbers from lowest to highest, like so:

1, 2, 3, 3, 4, 5, 7, 7, 9

The number in the middle of this set is 4.

The problem you have presented, as well as the above example, both deal with an odd amount of numbers. Your problem has seven numbers, and the example I gave has nine. For any odd amount of numbers, the median is the value in the middle. But what about an even amount of numbers?

Consider:

9, 4, 3, 7

Let's rearrange this:

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Now, there will be two "middle" values: 4 and 7. The median value will be the average of these two values:

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I hope that helps!

7 0
3 years ago
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