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Olenka [21]
3 years ago
7

In the graph shown, at what value of x does the value of y change from increasing to decreasing or decreasing to increasing?

Mathematics
1 answer:
kotykmax [81]3 years ago
3 0

Answer:

Your original answer is corrrect

Step-by-step explanation:

At X= -1, Y decreases and then it rises back to -1 and continues to increase

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Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Together the
posledela
Let's call x1: The rate per hour of the number one mechanic. X2: The rate per hour of mechanic number two. The first thing you should do is identify the system of equations that best describes the problem. In this case it is a system of 2 equations with two unknowns which when solved gives a total of x1 = 85 $ / h and x2 = 50 $ / h. Attached solution.

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3 years ago
Which choice is equivalent to the quotient shown here when x > 0
Zinaida [17]

Answer:

this is equal to √(3x²/12) = √(x²/4) = x/2

Step-by-step explanation:

5 0
3 years ago
Plss help me TT
Marina CMI [18]

a. There are 0 or 2 real positive roots for the equation and

b. There are 0 or 2 real negative roots for the equation.

<h3>What is the Descartes'rule of sign?</h3>

Descartes' rule of sign states that

  • The number of real positive zero of a polynomial f(x) is the number of sign changes of the coefficients of f(x) or an even number less than the number of sign changes of the coefficients of f(x)
  • The number of real negative zero of a polynomial f(x) is the number of sign changes of the coefficients of f(-x) or an even number less than the number of sign changes of the coefficients of f(-x)

<h3>How to find the number of possible positive and negative roots are there for the equation?</h3>

Given the equation 0 = −8x¹⁰ − 2x⁷ + 8x⁴ − 4x² − 1, writing it as a polynomial function, we have f(x) = −8x¹⁰ − 2x⁷ + 8x⁴ − 4x² − 1

<h3>a. The number of positive roots</h3>

So, to find the number of positive roots, we find the number of sign changes of the polynomial f(x).

So, f(x) = −8x¹⁰ − 2x⁷ + 8x⁴ − 4x² − 1

Since f(x) has coefficients -8, -2, + 8, -4, -1, there are two sign changes from -2 to + 8 and from + 8 to -4.

So, there are 2 or 2 - 2 = 0 real positive roots.

So, there are 0 or 2 real positive roots for the equation.

<h3>b. The number of negative roots</h3>

So, to find the number of negative roots, we find the number of sign changes of the polynomial f(-x).

So, f(-x) = −8(-x)¹⁰ − 2(-x)⁷ + 8(-x)⁴ − 4(-x)² − 1

= −8x¹⁰ + 2x⁷ + 8x⁴ − 4x² − 1

Since f(x) has coefficients -8, +2, + 8, -4, -1, there are two sign changes from -8 to + 2 and from + 8 to -4.

So, there are 2 or 2 - 2 = 0 real negative roots.

So, there are 0 or 2 real negative roots for the equation.

So,

  • There are 0 or 2 real positive roots for the equation and
  • There are 0 or 2 real negative roots for the equation.

Learn more about Descartes' rule of sign here:

brainly.com/question/28487633

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8 0
1 year ago
Kaylee obtains a loan with simple interest to buy a car that costs $8,500. If Kaylee pays $1,020 in interest during the four yea
andreev551 [17]
<span>The simple interest formula is:

A = P · (1 + r · t)
where:
A = total amount
P = principal
r = rate
t = time 

Let's solve for r:
A = P + P · r · t
P · r · t = A - P

r = (A - P) / (P · t)

The quantity A - P is defined as the Interest, therefore:
r = I / (P <span>· t)
  = 1020 / (8500 </span>· 4)
  = 0.03

Therefore the rate was 3%.


</span>
5 0
3 years ago
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Two pounds of bananas cost $1.16 what would be the cost of 5pounds s of bananas
ivann1987 [24]
If 2 lb of bananas cost $1.16, then each pound costs $0.58.

0.58 * 5 = 2.9

So 5 lb of bananas will cost $2.90.

Hope this helps!
6 0
2 years ago
Read 2 more answers
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