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Alina [70]
2 years ago
14

-HELP QUICK!!- What is the distance from P to Q? A P E X

Mathematics
1 answer:
skad [1K]2 years ago
5 0

Answer:

might be 7

Step-by-step explanation:

count the rise and run from Q to P. count up 3 and right 4.

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What is the result when 12x^3+17x^2+21x+10 is divided by 3x +2?
ruslelena [56]

Answer:4x>2+3x+5

Step-by-step explanation:

12x>3+8x>2+9x>2+21x+10

12x>3+8x>2+9x>2+6x+15×10

4x^2(3x+2)+9x^2×6x

4x^2(3x+2)+3x(3x+2)+15x+10

4x^2(3x+2)3x(3x+2)+5(3x+2)

Cancel

3x+2(4×^2+3x+5)

_____________

3x+2

4x^2+3x+5

5 0
3 years ago
Solve for x: 9x-1=10x+9<br><br> How do you get x off one side and onto the other, please explain
Stels [109]

Answer:

x = -10

Step-by-step explanation:

9x-1=10x+9

9x-1+1=10x+9+1

9x=10x+10

9x-10x=10x-10x+10

-x=10

-x/-1=10/-1

x= -10

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

4 0
3 years ago
f(x) = 2<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x^{2}" align="absmiddle" class="latex
loris [4]

Answer:

No answer is possible

Step-by-step explanation:

First, we can identify what the parabola looks like.

A parabola of form ax²+bx+c opens upward if a > 0 and downward if a < 0. The a is what the x² is multiplied by, and in this case, it is positive 2. Therefore, this parabola opens upward.

Next, the vertex of a parabola is equal to -b/(2a). Here, b (what x is multiplied by) is 1 and a =2, so -b/(2a) = -1/4 = -0.25.

This means that the parabola opens upward, and is going down until it reaches the vertex of x=-0.25 and up after that point. Graphing the function confirms this.

Given these, we can then solve for when the endpoints of the interval are reached and go from there.

The first endpoint in -2 ≤ f(x) ≤ 16 is f(x) = 2. Therefore, we can solve for f(x)=-2 by saying

2x²+x-4 = -2

add 2 to both sides to put everything on one side into a quadratic formula

2x²+x-2 = 0

To factor this, we first can identify, in ax²+bx+c, that a=2, b=1, and c=-2. We must find two values that add up to b=1 and multiply to c*a = -2  * 2 = -4. As (2,-2), (4,-1), and (-1,4) are the only integer values that multiply to -4, this will not work. We must apply the quadratic formula, so

x= (-b ± √(b²-4ac))/(2a)

x = (-1 ± √(1-(-4*2*2)))/(2*2)

= (-1 ± √(1+16))/4

= (-1 ± √17) / 4

when f(x) = -2

Next, we can solve for when f(x) = 16

2x²+x-4 = 16

subtract 16 from both sides to make this a quadratic equation

2x²+x-20 = 0

To factor, we must find two values that multiply to -40 and add up to 1. Nothing seems to work here in terms of whole numbers, so we can apply the quadratic formula, so

x = (-1 ± √(1-(-20*2*4)))/(2*2)

= (-1 ± √(1+160))/4

= (-1 ± √161)/4

Our two values of f(x) = -2 are (-1 ± √17) / 4 and our two values of f(x) = 16 are (-1 ± √161)/4 . Our vertex is at x=-0.25, so all values less than that are going down and all values greater than that are going up. We can notice that

(-1 - √17)/4 ≈ -1.3 and (-1-√161)/4 ≈ -3.4 are less than that value, while (-1+√17)/4 ≈ 0.8 and (-1+√161)/4 ≈ 2.9 are greater than that value. This means that when −2 ≤ f(x) ≤ 16 , we have two ranges -- from -3.4 to -1.3 and from 0.8 to 2.9 . Between -1.3 and 0.8, the function goes down then up, with all values less than f(x)=-2. Below -3.4 and above 2.9, all values are greater than f(x) = 16. One thing we can notice is that both ranges have a difference of approximately 2.1 between its high and low x values. The question asks for a value of a where a ≤ x ≤ a+3. As the difference between the high and low values are only 2.1, it would be impossible to have a range of greater than that.

7 0
2 years ago
Find the surface area of a cylinder with a helght of 6 in and a base diameter of 8 in.
Diano4ka-milaya [45]

Answer:

we know surface area=pi*d*h=3.14*8*5=125.6sqm

4 0
3 years ago
Anna is reading a 300-page book. She can read a page in two minutes. If she has finished reading 75 percent of the pages, how ma
Daniel [21]

Answer:

150 minutes

Step-by-step explanation:

If Anna read 75% of her 300-page book, then she has already read:

300 × 75%

= 300×0.75

= 225

225 pages.

If Anna has already read 225 pages, then she has:

300 - 225 = 75

75 pages left still to read.

If Anna reads 2 minutes per page, then she has

75 × 2 = 150 minutes.

She has 150 minutes of reading left to finish her book.

By the way, it's weird to say you have 150 minutes of something to do. In real life 150 minutes = 2 1/2 hours. jfyi. Have a great day!

3 0
1 year ago
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