MATHEMATICS HIGH SCHOOL

If f(x) = 3x + 2 and g(x) = x2 – x, find each value.
17 f(-2)=
f(-2) =

Answers

Answer 1
Answer:

Answer:   -4

Work Shown:

f(x) = 3x + 2

f(-2) = 3(-2) + 2 ... each x replaced with -2

f(-2) = -6 + 2

f(-2) = -4

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A research firm wants to compute an interval estimate with 90% confidence for the mean time to complete an employment test. Assuming a population standard deviation of three hours, what is the required sample size if the error should be less than a half hour?

Variable g is 8 more than variable w. Variable g is also 2 less than w. Which of the following pairs of equations best models the relationship between g and w?g = 8w
g = w + 2

w = g + 8
w = g − 2

w = 8g
w = g + 2

g = w + 8
g = w − 2

Answers

If you would like to find a pair of equations that best models the relationship between g and w, you can do this using the following steps:

g is 8 more than w ... g = w + 8
g is 2 less than w ... g = w - 2

The correct result would be g = w + 8 and g = w - 2.

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Answers

  • The center of the circle lies on the x-axis
  • The radius of the circle is 3 units.
  • The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

The standard equation of a circle is expressed as:

x^2+y^2+2gx+2fy+C=0

  • Centre is (-g, -f)
  • radius = √g²+f²-C

Given a circle whose equation is x^2 + y^2 - 2x - 8 = 0.

Get the centre of the circle

2gx = -2x

2g = -2

g = -1

Similarly, 2fy = 0

f = 0

Centre = (-(-1), 0) = (1, 0)

This shows that the center of the circle lies on the x-axis

r = radius = √g²+f²-C

radius = √1²+0²-(-8)

radius =√9 = 3 units

The radius of the circle is 3 units.

For the circle x² + y² = 9, the radius is expressed as:

r² = 9

r = 3 units

Hence the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Learn more on circles here: brainly.com/question/23226948

Answer:

a, b and e

Step-by-step explanation:

i got it correct on edge

How to find the value of this expression

Answers

32 because 64 divided by 2 equals 32
The square root is 64 is 8. Then times that by 2 your answer is 16. Hope that helps.

Write 0.4% as a fraction in simplest form.

Answers

To find the decimal form of a percentage, you divide by 100.  If you have a decimal, then to divide by 100 just move the decimal 2 places to the left.

0.4% = .004

Now to turn it into a fraction, just read the place value...
four one thousandths = 4/1000

Now reduce... 4/1000 = 2/500 = 1/250

The simplest form of 0.4% as a fraction is...    1/250

Which formula below is used to find the volume of a shape?A. length ÷ width ÷ height
B. length − width − height
C. length + width + height
D. length × width × height

Answers

D, it is the volume of rectangle.

Answer:

D. length × width × height

Step-by-step explanation:

That is how you calculate the volume of a shape.

you are lying 120 feet away from a tree that is 50 feet tall you look up at the top of the tree apart a proximately how far is your head from the top of the tree in a straight line

Answers

pythagoren theorem

your distance from tree is bottom leg
height of tree is height leg

a^2+b^2=c^2
a and b ar legs,
c=hypotnuse=distance from head to treee

50^2+120^2=c^2
2500+14400=c^2
16900=c^2
sqrt both sides
130=c^2
you are 130 feet away
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