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3 years ago

What's the answer to -3(20+5x)+x

Mathematics

1 answer:

lawyer [7]3 years ago

3 0

Answer:

-60-14x

Step-by-step explanation:

Distribute the 3: -3(20+5x)+x => 20(-3)+3(-5x)+x => -60 -15x+x

Simplify: -60-15x+x => -60-14x

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anygoal [31]

Answer:

Step-by-step explanation:

360/10=36

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3 years ago

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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 $A.\ y = x^2 - 6x + 13$

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3 years ago

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I need help answer 6 through 7 I can't figure them out

seropon [69]

6. the answer is 4. because u find the diameter by dividing by 2.
7. answer = 8 , the radius is 4 . so u need to multiply 2 times 4. 2 times 4 =8.

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Elodia [21]

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Lyrx [107]

Answer:

You can plot the lines by putting the values of x and y.

For y=x-2, if we put x= 2, then we got y=0

So, the point for this equation will be (2,0). Similarly, you can get many points for the equations and join them to plot lines in the graph.

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3 years ago