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blsea [12.9K]
3 years ago
11

Please help me with math, it’s easy!! explanation needed!

Mathematics
1 answer:
Olenka [21]3 years ago
3 0

Answer:

  0

Step-by-step explanation:

This equation is in "vertex form," meaning that you can identify the vertex and other features of the graph from the equation.

  y = a(x -h)² +k . . . . . the vertex is (h, k); the vertical scale factor is "a"

Comparing to your equation, you see ...

  a = -1/2, h = 3, k = -1

The vertex is (h, k) = (3, -1). The vertical scale factor is negative.

__

This tells you the graph opens downward (the scale factor is negative), and the vertex (maximum point) is below the x-axis. (It has a negative y-coordinate.)

Because it start below the x-axis and goes down from there, the graph does not intersect the x-axis. There are zero (0) x-intercepts.

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A random sample of adults were asked whether they prefer reading an e-book over a printed book. The survey resulted in a sample
djyliett [7]

Answer: (0.10\ ,\ 0.18)

Step-by-step explanation:

According to the empirical rule, the 95% confidence interval for the true population proportion is given by :-

(p'-2\sigma_{p'}\ ,\ p'+2\sigma_{p'})

Given : . The survey resulted in a sample proportion of p′=0.14, with a sampling standard deviation of σp′=0.02, who preferred reading an e-book.

Then, the 95% confidence interval for the true proportion of adults who prefer e-books will be :-

(0.14-2(0.02)\ ,\ 0.14+2(0.02))\\\\=(0.14-0.04\ ,\ 0.14+0.04)\\\\=(0.10\ ,\ 0.18)

Hence, the 95% confidence interval for the true proportion of adults who prefer e-books= (0.10\ ,\ 0.18)

8 0
3 years ago
Write and equivalent expression to 8(4x+3)<br><br><br> Write an equivalent expression to 0.5(2x+4)
Serhud [2]

Answer:

8(4x + 3) = 32x + 24

0.5(2x + 4) = x + 2

4 0
2 years ago
A rectangle has a length of x + 7 and a width of x-2. Which equation below describes the perimeter, P, of
valkas [14]

Answer:

            P = 4x  +  10

Step-by-step explanation:

perimeter of a rectangle = 2( width + length )

   P = 2 ( x - 2  +  x + 7 )

   P = 2 ( x + x  +  7 - 2 )

        P = 2 ( 2x +  5 )

            P = 4x  +  10

4 0
2 years ago
Please help me!!!!!!!!!
Aneli [31]
It’s 45, since the bottom corner is 90, the top one is 45 bc if you turn it into a rectangle it has to be 90 also and half of that is 45, 90 plus 45 is 135 and all the angle of a right triangle make 180, so 180 minus 135 is 45
5 0
2 years ago
Read 2 more answers
A line that perpendicular to the line y= 2/3x + 4 and goes through the point (-2,5)
gayaneshka [121]

step 1

Find the slope of the given line

we have

y=(2/3)x+4

the slope is m=2/3

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

so

the slope of the perpendicular line to the given line is

m=-3/2

step 2

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-3/2

point (-2,5)

substitute

5=(-3/2)(-2)+b

solve for b

5=3+b

b=2

therefore

<h2>y=-(3/2)x+2</h2>
3 0
1 year ago
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