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Mathematics

1 answer:

hammer [34]3 years ago

3 0

Answer:

8

Steps:

Plug in 2 for x in h(x)

h(2) = -(2)^2 + 6 * 2

h(2) = -4 + 12

h(2) = 8

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Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line −2x+3y=12?

crimeas [40]

Answer:

I like to compare them all the same. Put all the equations in slope intercept form y=mx+b

So you need to isolate y.

Step-by-step explanation:

Main equation to compare y=2/3x + 4

If they have the same slope they are parallel. If they have opposite reciprocal slopes then they are perpendicular.

First one is y=2x +12 neither

Second one is y= -3/2x -1 perpendicular

Third one is y= 2/3x - 1 parallel

Forth one is y= 2/3x + 11/3 parallel

3 0

3 years ago

You originally draw a design for an art contest on a 2 in. x 5 in. card. The second phase of the contest requires the drawing to

pentagon [3]

The correct answer is: 
4.2 inches.

Explanation: 
We use the size of the largest dimension of the reproduction to find the scale factor. The largest dimension of the original drawing was 5 inches.
The largest dimension of the reproduction is 11 inches.

To find the scale factor, divide: 
 $\frac{11}{5}$ =2.1.

Since the scale factor is 2.1, to find the smallest dimension of the reproduction we multiply the original by 2.1:
2*2.1=4.2 inches.

4 0

3 years ago

Read 2 more answers

The ratio of M & M’s to raisins in a bag of trail mix is 3:5. If there are 36 M & M’s, how many raisins are there?

Iteru [2.4K]

The correct answer is 60 raisins. To get this answer you will write a proportion of M & Ms to raisins and create and equivalent ratio using the number 36.

After you have the proportion set up, you will use cross products to solve for the number of raisins.

You can also use equivalent ratios to find the number of raisins.

Both of these strategies are shown in the attached picture.

4 0

3 years ago

Determine the type and number of solutions of 4x^2-5x+1=0.

Arlecino [84]

4x² - 5x + 1 = 0
a = 4; b = - 5, c = 1
Δ = b² - 4.a.c
Δ = (-5)² - 4.4.1
Δ = 25 - 16
Δ = 9

x = - b ± √Δ / 2.a
$x = \frac{-5\± \sqrt{9} }{2*4}$
$x = \frac{-5\±3}{8}$
$x' = \frac{-5-3}{8} = \frac{-8}{8} = -1$
$x' = \frac{-5+3}{8} = \frac{-2}{8} (\div2) = \frac{-1}{4}$

A. Two real solutions (x' = -1 and x'' = -1/4)

4 0

3 years ago

A machine operation produces bearings whose diameters are normally distributed, with a mean of 0.497 inch and a standard deviati

eduard

Mean = 0.497 in, SD = 0.003 in
Required diameter ranges between 0.496 in and 0.504 in
Anything other diameter obtained is not acceptable.

That is;
P(x<0.496) and P(x>0.504) are not acceptable.

Now,
P(x<0.496) = P(Z< (0.496-0.497)/0.003)) = P(Z<-0.33)
From Z tables, P(Z<-0.33) = 0.3707

Similarly,
P(x>0.504) = P(Z> (0.504-0.497)/0.003)) = P(Z>2.33)
From Z tables, P(Z>2.33) = 1-0.9901 = 0.0099

Therefore, unacceptable proportion = P(x<0.496)+P(x>0.504) = 0.3707+0.0099 = 0.3806 or 38.06%

6 0

3 years ago