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PSYCHO15rus [73]
1 year ago
8

If f(x) = 2x2 + 3 and g(x)=x2-7, find (f- g)(x).

Mathematics
1 answer:
Len [333]1 year ago
5 0

The difference of the given functions is x^2 + 10

<h3>Difference of functions</h3>

Given the following functions

f(x) = 2x^2 + 3 and

g(x)=x^2-7

Take the difference

(f-g)(x) = 2x^2 + 3 - (x^2 - 7)

(f-g)(x) = 2x^2 - x^2 +3 + 7

(f-g)(x) = x^2 + 10

Hence the difference of the given functions is x^2 + 10

Learn more on difference of function here:brainly.com/question/17431959

#SPJ1

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what is the positive slope of the asymptote of (y+11)^2/100 - (x-6)^2/4 = 1? The positive slope of the asymptote is​
ale4655 [162]

Answer:

5

Step-by-step explanation:

its 5 on Edge just took the test!

6 0
2 years ago
Which of the following transformations is the only one that can change the lengths of its sides but remain similar??
andrezito [222]

Answer:

D

Step-by-step explanation:

It is dilation because transformation is moving and sliding, rotation is spinning, reflection is a mirroring of the shape upon a certain line or axis, and dilation is the change in size leaving 1 point the same.

6 0
3 years ago
Let p be the plane in space that intersects the x-axis at −5, the y-axis at −2, and the z-axis at 5. Find a vector v¯¯¯ that is
Lana71 [14]

Let P be the plane that intersects

  • x-axis at point (-5,0,0);
  • y-axis at point (0,-2,0);
  • z-axis at point (0,0,5).

Write the equation of the plane P:

\left|\begin{array}{ccc}x-(-5)&y-0&z-0\\0-(-5)&-2-0&0-0\\0-(-5)&0-0&5-0\end{array}\right|=0\Rightarrow \left|\begin{array}{ccc}x+5&y&z\\5&-2&0\\5&0&5\end{array}\right|=0.

Then

-10(x+5)+10z-25y=0,\\ \\2(x+5)-2z+5y=0,\\ \\2x+5y-2z=-10.

The coefficients at variables x, y and z are the coordinates of perpendicular vector to the plane. Thus

\vec{v}=(2,5,-2)\perp P.

Answer: \vec{v}=(2,5,-2).

7 0
3 years ago
I’m being timed hurry!!!
umka21 [38]

Step-by-step explanation:

go left 10 and down 2 this due to the numbers being negative.

6 0
3 years ago
Read 2 more answers
A coca cola costs 150 yen. You buyed 30 bottles of cola and sold them at the price of 155 yen each. Find profit %​
bazaltina [42]
<h3><u>Question:</u><u>-</u></h3>

A coca cola costs 150 yen. You buyed 30 bottles of cola and sold them at the price of 155 yen each. Find profit %

<h3><u>Answer</u><u>:</u><u>-</u></h3>

3.33%

<h3><u>Explanation</u><u>:</u><u>-</u></h3>

Cost price = ¥150

Selling price = ¥155

Total profit = Selling price - Cost price

→ = ¥155 - ¥150

→ = ¥5

Profit % = Profit × 100/cost price

️ = 5 × 100/150

️ = 10/3 = 3.33%

7 0
2 years ago
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