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
Find the least common denominator for these two rational expressions 7/n^2 -8/7n
lianna [129]

Answer:

7n²

Step-by-step explanation:

7/n² - 8/7n

Least common multiple will be the least common denominator

L.C.M = 7n²

Dividing the L.C.M by denominators and multiplying with numerators;

((7×7) - (n×8))/7n²

= (49 - 8n)/7n²

7n² is the least common denominator

8 0
3 years ago
Susan has 4 gallons of juice. How many cups of juice does she have?
Fittoniya [83]
She has 64 cups
1 gallon is 16 cups
4 0
3 years ago
When an oil tank is 7/12 full, it contains 5 1/4 gallons. How many gallons does it hold when full
blondinia [14]
<h3>Answer:</h3>

The tank can hold up to 9 gallons.

Quick Review:

By doing the inverse of 7/12, 12/7, when you multiply it, you'll get a value of 1.

7/12 * 12/7 = 1

Doing the Problem:

By multiplying 5 1/4 by 12/7, you'll get the answer. But first, convert 5 1/4 into an improper fraction.

5 1/4 ---> 21/4

Okay, lets go!

21/4 * 12/7 = 252/28

<u>When reduced, this gives you the answer 9/1, or 9 gallons.</u>

Hope that helps, :)

6 0
3 years ago
Lila knows that 316 means “3 divided by 16.” She uses this to find the decimal equivalent for 316. Enter a digit into each box t
jeka57 [31]

He first took six pieces for himself and then evenly divide… Get the answers you need, ... Log in to add comment. swebster1495 is ... Lila knows that 316 means “3 divided by 16.” She uses this to find the decimal equivalent for 316. Enter a digit into each box to continue her work. All the ratios lie on line .

6 0
3 years ago
Data were collected on the amount spent by 124 customers for lunch at a major Houston restaurant. Based upon past studies the po
Wewaii [24]

Answer:

would you still like me to help you with this question

7 0
3 years ago
Other questions:
  • Written expression for the sum of d and 9
    9·1 answer
  • Which is an exponential decay function f (x)=3/4 (7/4)x f (x)=2/3 (4/5)-x. F (x)=3/2 (8/7)-x f (x)=1/3 (9/2)x
    5·2 answers
  • What is y=2/3x-4 graphed
    6·1 answer
  • If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen
    10·2 answers
  • Solve logarithmic equation: ln a=4 HELP
    14·1 answer
  • An object is launched straight upward from ground level with an initial velocity of 32 feet per second. The formula h=32t - 16t
    5·2 answers
  • You and your friend are standing back-to-back. Your friend runs 16 feet forward and then 12 feet right. At the same time, you ru
    6·1 answer
  • Find the absolute value. The absolute value of 5 is​
    14·2 answers
  • Phillipe has 320 pieces of
    7·1 answer
  • Three consecutive integers have a sum of 42. Find the integers.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!