MATHEMATICS HIGH SCHOOL

Use the function to answer the question.f (x) = x2 +4
What is the value of x when f (x) = 4?

Answers

Answer 1
Answer:

Answer:f(4)= 12

Step-by-step explanation:

Treat f(x) as y, y=2x + 4, y=12
Answer 2
Answer:

Answer:

x = 0

Step-by-step explanation:

Given f(x) = x² + 4 and f(x) = 4, then equating

x² + 4 = 4 ( subtract 4 from both sides )

x² = 0 , thus

x = 0

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The product of two rational numbers is 1.5. Their sum is 3.5. What are the two numbers?

Answers

easy, 3 and 0.5

but ok the math way

xy=1.5
x+y=3.5

y=3.5-x
x(3.5-x)=1.5
3.5x-x^2=1.5
0=x^2-3.5x+1.5
quadratic
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}

a=1
b=-3.5
c=1.5

x=\frac{-(-3.5)+/- \sqrt{(3.5)^(2)-4(1)(1.5)} }{2(1)}
x=(3.5+/- √(12.25-6) )/(2)
x=(3.5+/- √(6.25) )/(2)
x=(3.5+/- 2.5)/(2)
x=(3.5+ 2.5)/(2) or x=(3.5- 2.5)/(2)
x=6/2 or 1/2
x=3 or 0.5
those are the numbers


3 and 0.5
The number are "x" and "y".
Then, we suggest this system of equations:
xy=1.5
x+y=3.5

we can solve this system of equations by substitution method.

y=3.5 - x

x(3.5-x)=1.5
3.5x-x²=1.5
x²-3.5x+1.5=0

We solve this square equation:

x=[3.5⁺₋√(12.25 - 6)] / 2=(3.5⁺₋2.5)/2

we have two solutions:
x₁=(3.5-2.5) / 2=0.5    then: y₁=3.5-x=3.5 - 0.5=3

x₂=(3.5+2.5)/2=3    then y₂=3.5-x=3.5-3=0.5

Therefore the two numbers are 3 and 0.5

Answer: the numbers are 3 and 0.5

Find the length of the radius for this circle.(x-3)2+(y-5)2 =8

Answers

The radius of a circle is the square root of the number on the right-hand side of the equation.
√8
√8 can be broken down into √4 * √2 (because 4*2=8)
√4 is 2.
√2 cannot be simplified.
Final answer is 2√2

Wendy bought some wrapping paper for Christmas that was 5 feet long and 2 feet wide. What is the area of the wrapping paper she bought?

Answers

5 times 2 is 10 so the area is 10 square feet

Answer:

10 sq. ft.

Step-by-step explanation:

2×5=10

Fill in the blank to find the X intercept
(__,0)

Answers

Answer:

-2

Step-by-step explanation:

Answer:

(-2,0)

Step-by-step explanation:

The graph passes through -2 on the x axis

Jen bought 5 CDs for $57.50 What was the unit price ?

Answers

Answer:

$11.50

Step-by-step explanation:

Use simple division

57.5/5=11.5

Answer:

$130.00

Step-by-step explanation:

amita decides that she wants the molds to have a square base from originally having a rectangular prism with a volume of 28 cubic centimeters - how many possible molds can she use

Answers

Given:
rectangular prism = 28 cubic cm
convert to square based or cube

volume of rectangular prism = length * width * height
volume of a cube = a³

√28 = 3.03658897188

Amita can use 3 possible molds that are square based.
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