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3 years ago

What are the x intercepts of the quadratic function? Y=-x^2+2x-1

Mathematics

1 answer:

saw5 [17]3 years ago

8 0

Answer:

x = 1

Step-by-step explanation:

Given in the question the equation

y = -x² + 2x - 1

To find the x-intercept, substitute in 0 for y

0 = -x² + 2x - 1

To find value of x use quadratic equation

x = -b ± √b²-4ac / 2a

here a = -1

b = 2

c = -1

x1 = -2 + √2²-4(-1)(-1) / 2(-1)

= -2 + 0 / -2

= -2 / -2

= 1

x2 = -2 - √2²-4(-1)(-1) / 2(-1)

= -2 - 0 / -2

= -2 / -2

= 1

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Find the average rate of change of the function between the given values of x. y = 9+ 5x + 0.5x2 between x = 2 and x = 4.

svet-max [94.6K]

Answer:

The average rate of change is 8.

Step-by-step explanation:

The formula to calculate the average rate of change of a function F(x) is:

$\frac{F(b)-F(a)}{b-a}$

In this case, F(x) = $0.5x^{2} +5x+9$

a=2 and b=4

You have to evaluate x=2 (which is a in the formula) and x=4 (which is b in the formula) in the function.

In order to obtain F(b) and F(a) you have to replace x=4 and x=2 in the given function:

F(b) = $(0.5)4^{2} + 5(4) +9= 37$

F(a) = $(0.5)2^{2} + 5(2)+9=21$

$\frac{F(b)-F(a)}{b-a} = \frac{37-21}{4-2}=\frac{16}{2} = 8$

The answer is 8.

3 0

2 years ago

What is the product??

tangare [24]

Answer:

The answer to your question is the third choice

Step-by-step explanation:

To solve this problem, just multiply 6 by each of the numbers of the matrix and simplify.

6 | 4 -2 1 | = | (6 x 4) (6 x -2) (6 x 1) |

| 7 3 0| | (6 x 7) (6 x 3) (6 x 0) |

= | 24 -12 6 |

| 42 18 0 |

The first choice is wrong because only multiply by six the first row.

The second and fourth rows are incomplete.

7 0

3 years ago

I need the answer fast please find the tan(b)

PSYCHO15rus [73]

Answer:

$\sf \dfrac{17}{25}$

Step-by-step explanation:

<h3>Trigonometry:</h3>

$\sf \boxed{\bf Tan \ B=\dfrac{oppoiste \ side \ to \ Tan \ B}{hypotenuse}}$

$\sf tan \ B =\dfrac{17}{25}$

6 0

1 year ago

what types of problems can be solved using the greatest common factors? What types of problems can be solved using the least com

gayaneshka [121]

What types of problems can be solved using the greatest common factor? What types of problems can be solved using the least common multiple? Complete the explanation.
<span>*** Use the words 'same' and 'different' to complete the following sentences.*** </span>

<span>Problems in which two different amounts must be split into (the same) number of groups can be solved using the GCF. Problems with events that occur on (different) schedules can be solved using the LCM.</span>

7 0

3 years ago

Read 2 more answers

BRAINLIEST AND 60 POINTS!!!!!!!

PIT_PIT [208]

Answer:

1. P ( tails) = 1/2

2.P (number greater than 4) = 1/3

3. P (2 die sum to 8) = 5/36

Step-by-step explanation:

A coin only has 2 possibilities, head or tails, and they are equally likely

So the probability of getting a tails is 1/2

P ( tails) = 1/2

A die has the numbers 1,2,3,4,5,6 . There are 2 numbers greater than 4. They are 5 and 6. So there are 2 of the 6 choices that work.

P (number greater than 4) = 2/6 = 1/3

See the dice chart

There are 36 possibilities when you roll the die.

There are 5 that sum to 8

P (2 die sum to 8) = 5/36

7 0

3 years ago