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3 years ago

How do you solve 4n = -20

Mathematics

2 answers:

natita [175]3 years ago

7 0

Divide -4 on both sides

Harlamova29_29 [7]3 years ago

4 0

Divide -4 on both sides

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Which equation represents a parabola that opens upward, has a minimum at x = 3, and has a line of symmetry at x = 3?

densk [106]

Answer:

$A.\ y = x^2 - 6x + 13$ is the correct answer.

Step-by-step explanation:

We know that vertex equation of a parabola is given as:

$y = a(x-h)^2+k$

where $(h,k)$ is the vertex of the parabola and

$(x,y)$ are the coordinate of points on parabola.

As per the question statement:

The parabola opens upwards that means coefficient of $x^{2}$ is positive.

Let $a = +1$

Minimum of parabola is at x = 3.

The vertex is at the minimum point of a parabola that opens upwards.

$\therefore$ $h = 3$

Putting value of a and h in the equation:

$y = 1(x-3)^2+k\\\Rightarrow y = (x-3)^2+k\\\Rightarrow y = x^2-6x+9+k$

Formula used: $(a-b)^2=a^{2} +b^{2} -2\times a \times b$

Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.

Comparing $y = x^2 - 6x + 13$ and $y = x^2-6x+9+k$

13 = 9+k

k = 4

Please refer to the graph attached.

Hence, correct option is $A.\ y = x^2 - 6x + 13$

3 0

3 years ago

Read 2 more answers

What is 125 divided by 5? How do we do it in friendly parts

Bess [88]

125 divided by 5 is 25. hope this helped but im not to sure what friendly parts are sorry

7 0

3 years ago

Anyone tell me the answer quick it is my homework

WITCHER [35]

Answer:

a. 8/24

divide denominator and numenator by three

1:3

b. 16/24

2:3

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3 years ago

What is 15/3 as a subtraction problem

iragen [17]

15 divided by 3 is 5
15 - 3=13

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MrRa [10]

A signed number is representations are required to encode negative numbers in binary number system. if u need more info let me know

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