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Bingel [31]
3 years ago
7

Which expression is equivalent to 3(x2 - 1) - (x2 - 7x + 10)?

Mathematics
1 answer:
alisha [4.7K]3 years ago
7 0

Answer:

2. 2x² + 7x - 13

Step-by-step explanation:

3[x² - 1] - [x² - 7x + 10]

3x² - 3 - x² + 7x - 10

2x² - 13 + 7x

The above answer is a bit written in reverse, which is the exact same result.

So, after performing the Distributive Property, from there, you can combine all like-terms, as done above.

** Now, just in case you are wondering why that -7 has been altered to its opposite, it is because although -7x does not have another like-term to pair up with, IT IS STILL HOOKED UP TO ANOTHER NEGATIVE, so that -7x is REALLY 7x.

I am joyous to assist you anytime.

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A banner is hung for a party. The
rewona [7]

Answer:

  • 8.5 feet

Explanation:

The function that can determine the distance from a point on the bottom edge of the banner to the floor is:

f(x)=0.25x^2-x+9.5

That function is a quadratic function which means that it is a parabola. Given that the coefficient of the quadratic term (0.25) is positive, the parabola open upwards, and the vertex is the lowest point of the parabola and it represents how high above the floor is the lowest point on the bottom edge of the banner.

So, you need to find the vertex of the parabola.

I will complete squares to find the form A(x -h)² + k, where h and k are the coordinates of the vertex (h, k).

f(x)=0.25x^2-x+9.5\\ \\ 4(f(x))=4(0.25x^2-x+9.5)\\ \\ 4f(x)=x^2-4x+38\\ \\ 4f(x)-38=x^2-4x\\ \\ 4f(x)-38+4=x^2-4x+4\\ \\ 4f(x)-34=(x-2)^2\\ \\ 4f(x)=(x-2)^2+34\\ \\ f(x)=(1/4)(x-2)^2+8.5

Hence, the vertex (h,k) is (2, 8.5), meaning that the lowest point on the bottom edge of the banner is at 2 feet from the left edge of the banner and 8.5 feet above the floor.

3 0
2 years ago
ASAP please help me I don’t not know how to find the Y intercept from two points
faltersainse [42]

They way to find the y-intercept from two points is to first find the slope, which can be derived from the formula m=\frac{y_2-y_1}{x_2-x_1}.

Then, you can plug in one of the two points (x_1,y_1) or (x_2,y_2) into the formula y=mx+b to solve for b, which is your y-intercept.


5 0
2 years ago
Guys I really need help on this please
madreJ [45]

Answer:

The answer is 26.2.

Step-by-step explanation:

To get the answer we take the miles done in the race, in this case 18.34 and he is 70% done the race. To find out how much total miles are in the race, we  convert 70% into a decimal which is 0.70.  then we have 18.34 and 0.70 to multiply. 18.34 x 0.70=26.2 Which is your answer.

Hope this helps!

3 0
3 years ago
Is 3/47 a rational number? If it is why?
Alexandra [31]
It is not a rational number it is irrational because the decimal doesn't terminate.
4 0
2 years ago
Read 2 more answers
Expand and simplify 5(y-2) 2(y-3)
Oksana_A [137]
5y-10 and 2y-6 unless the two are together in which case are they being added or multiplied (the equations).

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3 years ago
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