1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AnnZ [28]
3 years ago
12

How many times does the graph of 4x = 32 - x2 cross the x-axis ?

Mathematics
2 answers:
Alisiya [41]3 years ago
8 0

Answer:

Step-by-step explanation:

● 4x = 32 - x^2

Add x^2 to both sides

● 4x +x^2 = 32 -x^2+x^2

● x^2 +4x = 32

Substract 32 from both sides

● x^2+4x -32 =32-32

● x^2 +4x-32=0

That is a quadratic equation

We will use the determinant method

The determinant is b^2-4ac

● a = 1

● b = 4

● c = 32

● b^2-4ac = 4^2 -4×1×(-32) = 144

144 is positive so the parabola will cross the x-axis two times

● x = (-b -/+ √(b^2-4ac))/2a

● x = (-4 +/- 12) /2

● x = 8/2 or x= -16/2

● x = 4 or x =-8

The solutions are 4 and -8

Molodets [167]3 years ago
5 0

Answer:

x=4 orx=- 8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4

x

=

−

x

2

+

32

Step 2: Subtract -x^2+32 from both sides.

4

x

−

(

−

x

2

+

32

)

=

−

x

2

+

32

−

(

−

x

2

+

32

)

x

2

+

4

x

−

32

=

0

Step 3: Factor left side of equation.

(

x

−

4

)

(

x

+

8

)

=

0

Step 4: Set factors equal to 0.

x

−

4

=

0

or

x

+

8

=

0

x

=

4

or

x

=

−

8

You might be interested in
While hiking, Diego drank 2¼ liters of water. Lin drank 1⅗ liters of water. How much more did Diego drink than Lin?
babunello [35]

Answer: 13/20

Step-by-step explanation:2 1/4 - 1 3/5 = 13/20

3 0
3 years ago
Read 2 more answers
A pizza maker can make 8 pizzas in 12 minutes. What is the pizza maker's unit rate?
Mrrafil [7]
1 Pizza Every 1.5 Minutes
7 0
3 years ago
Read 2 more answers
A polar bear swims 390 meters at a constant rate in 150 seconds. what is the speed of the polar bear?
worty [1.4K]
The answer is 2.6 m/s

The speed (v) is distance (d) through time (t).
v = d/t

We know:
d = 390 m
t = 150 s

v = d/t
v = 390 m / 150s
v = = 2.6 m/s
5 0
3 years ago
I dont know how to do this one
-BARSIC- [3]

Answer:

2\sqrt{34}

Step-by-step explanation:

We can add a line to create a triangle and a rectangle. The triangle will have side lengths 10 and 6. Furthermore, it will be a right triangle, meaning we can apply the Pythagorean Theorem to find x, the hypotenuse.

6^2 + 10^2 = x^2\\x = \sqrt{6^2 + 10^2}\\ = \sqrt{136} \\= 2\sqrt34}

hope this helped! :)

7 0
2 years ago
Follow the process of completing the square to solve 2x2 + 8x - 12 = 0.
Rom4ik [11]
Please:  Use "^" to denote exponentiation:  <span>2x^2 + 8x - 12 = 0

Reduce this by div. every term by 2:             </span><span>x^2 + 4x - 6 = 0

Here a=1, b=4 and c = -6.  Square half of b, obtaining (4/2)^2 = 4, and add, and then subtract, this 4 to x^2 + 4x - 6:

</span> x^2 + 4x +4  - 4 - 6 = 0.  Rewrite the square as (x+2)^2, obtaining new equation

(x+2)^2 = 10.  Take the sqrt of both sides:   x+2 = plus or minus sqrt(10).

Finally, solve for x:  x = -2 plus or minus sqrt(10).



8 0
3 years ago
Other questions:
  • After making a Deposit puja had $264 in her savings account she noticed that if she added $26 to mount originally in the account
    14·1 answer
  • Samuel recorded the number of different types of pets his friends have in the table shown below: Cats 5 Dogs 3 Rabbits 1 Guinea
    8·1 answer
  • There are 12 different pizza toppings, and Arturo must rank his top 5 in order. How many different possible rankings are there?
    7·1 answer
  • Pls help me out................................​
    10·1 answer
  • 1. Five more than twice a number is 7.
    7·2 answers
  • Please help me and show your work/explain.​
    7·2 answers
  • Which table represents the increasing linear function with the greatest unit rate?
    15·1 answer
  • 4 people can stay at a hotel for a week for 42£. Find the hotel cost bill for 3
    7·1 answer
  • 6g+5 =-2(1+2g)<br> ------------------
    8·2 answers
  • The distance between -2 1/2 - (-3)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!