The roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?x = –1 and x =

Answers

Answer 1

Answer: If you would like to find the roots of the function f(x) = x^2 - 2 * x - 3, you can calculate this using the following steps:

f(x) = x^2 - 2 * x - 3 = (x - 3) * (x + 1)
1. x = - 1
2. x = 3

The missing number would be 3.

Answer 2

Answer:

The missing value is 3 because roots of the function f(x) = x2 – 2x – 3 are -1 and 3

What is a quadratic equation ?

Any equation of the form $\rm ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

$\rm x = (-b \pm√(b^2-4ac))/(2a)$

We have a function:

f(x) = x² – 2x – 3

Equate the function to zero;

f(x) = 0

x² – 2x – 3 = 0

a = 1, b = -2, c = -3

$\rm x = (-(-2) \pm√(-2^2-4(1)(-3)))/(2(1))$

After simplification:

$\rm x = (2 \pm√(16))/(2)$

x = 3 or x = -1

Thus, the missing value is 3 because roots of the function f(x) = x2 – 2x – 3 are -1 and 3

Learn more about quadratic equations here:

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sally can paint a room in 7 hours while it taks steve 9hours to finsh the same room. how ling will it take them to paint if they worked together?

Answers

How much part can sally paint in an hour ?
a ÷ 7 = a/7

And what about Steve ?
a ÷ 9 = a/9

Where, a is the total area of the room.

So, let the time taken by both of them to paint the room together be 't'

So,
t(a/7 + a/9) = a
t(9a/63 + 7a/63) = a
t(16a/63) = a
t = 63/16 ≈ 4 hr

Sally alone can paint the room in 7 hours.

In 7 hours Sally alone does the job.

In 1 hour Sally would do (1/7) of the job.

Steve can paint it alone in 9 hours.

In 9 hours Steve alone does the job.

In 1 hour Steve would do (1/9) of the job.

Both working together in 1 hour would do: (1/7) + (1/9).

(1/7)*(9/9) + (1/9)*(7/7) = 9/63 + 7/63 = (9 + 7) / 63 = 16/63

In 1 hour both will have done (16/63) of the job.

16/63 of the job will be done in 1 hour by both.

Therefore a 1 whole fraction of the job will be done in: 1 hour ÷ 16/63

   = 1 hour × 63/16

   = 63/16 hours = 3.9375 hours

It would take both 63/16 hours or 3.9375 hours.

When is the estimation of products a useful tool?

Answers

The estimation of products are usefull so with you real answer, you can check back and fourth if you answer is reasonable

Consider the logarithmic equation f(x) = ln (x + 2) – 1. Round all values to the tenths place.(a) Determine any x- and y-intercepts.
(b) Determine the domain and the equation of the vertical asymptote.
(c) Make a table of values to find three other points on the graph.
(d) Graph the function. Label the three points you found in Part (c).

Answers

Hello,

A) x=0==> f(0)=ln(2)-1=-0,30685281944005469058276787854182
y=0==>ln(x+2)-1=0
==>ln(x+2)=1
==>e^ln(x+2)=e^0
==>x+2=0
==>x=-2

B)
dom f(x)={x∈IR | x>2}
x=-2 is the vertical asymptote

c)
A=(-1,-1)
B=(0,ln(2)-1=-0,30685281944005469058276787854182 )
C=(1,ln(3)-1=0,09861228866810969139524523692253)
D=(2,ln(4)-1)=0,38629436111989061883446424291635)

d) see picture

Mike started a savings account by depositing $9. Each month he deposits more money than the month before. At the end of 41 months, he has saved $9,389.00. How much more does he deposit each month

Answers

We have to calculate how much more money does Mike deposit each month. This can be done using the formula for the arythmetic sequence; S n = n/2 * ( a1 + an ). Here: a 1 = 9, n = 41 and a n = a 1 + ( n-1 ) d = 9 + 40 d. So : 9,389 = 41/2 * ( 9 + 9 + 40 d ); 9,389 = 41 / 2 * ( 18 + 40 d ); 9,389 = 41 * ( 9 + 20 d ) ; 9,389 = 369 + 820 d; 820 d = 9,389 - 369; 820 d = 9,020; d = 9,020 : 820; d = 11. Answer: He deposits $11 more each month.

Answer:

$11.00 or 11

same thing :)

*plug all other answer choices inside formula as d to check your answer*

Step-by-step explanation:

we need to use the arithmetic sequence formula

$S_n=(n)/(2) [2a_1+(n-1)d]\n$

$a_1=9\nn=41\nd=11 \n\nS_4_1=(41)/(2)[ (2)(4)+(41-1)(11)] \n\nS_4_1=(41)/(2) [8+(40)(11)]\n\n\S_4_1=(41)/(2) (18+440)\n\nS_4_1=(41)/(2) (458)\n\nS_4_1=20.5 (458)\n\nS_4_1=9,389$

He deposit 11 each month is right because the sum of the series ( $S_n$ ) is 9,389 and he saved 9,389 at the end of the 41 months.

Find the value of the variable if P is between J & K.

Answers

is there a map of it or a pic of the pic

Express the fractions 3/4 7/16 and 5/8 with the LCD

Answers

LCD means Least Common Denominator. To find the LCD of 3/4, 7/16, & 5/8, we will first get the multiple of each denominator until we get the same multiple of the three denominator
Multiple of
   i. 4 are 4, 8, 12, 16
   ii. 16 are 16
   iii. 8 are 8, 16

16 is the multiple of 4, 16 and 8. So we will use it now as the LCD of the three given fractions.
We can now express the given fractions with the LCD
   3/4 = 12/16
   7/16 = 7/16
   5/8 = 10/16

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