The function g is defined by:

The Function G Is Defined By:

Answers

Answer 1

g(x) = x² - x - 6

so

g (-4) = (-4)² - (-4) - 6 = 16 + 4 - 6 = 14

When g(x) = 6, we have

6 = x² - x - 6

x² - x - 12 = 0

Solve for x. We factorize this easily as

(x - 4) (x + 3) = 0

which gives

x - 4 = 0   or   x + 3 = 0

x = 4   or   x = -3


Related Questions

Evaluate:

12x+10 for x=−12

Answers

Answer:

-144?

Step-by-step explanation:

im not sure if that'll be the answer

Answer:

-134

Step-by-step explanation:

6) Calculate the slope of a line containing the points (-3,5) and (-7,11).

Answers

Slope: (y2-y1)/(x2-x1)
(11-5)/(-7+3) = 6/-4 = 3/-2
The slope is -3/2

slopev=

[tex]diffrence \: in \: y \: coordinate \\ diffrence \: in \: x \: coordinate[/tex]

so

Y=11_5 =6

X = -7_(-3) = -4.

slope = (-4,6)

make as brainlist

please help me<3
Thank you so much!

Answers

Answer:

55%

Step-by-step explanation:

Divide the number of people that would buy the car again (this means that they were satisfied) by the total number of people

1320/2400 = 0.55

0.55 * 100 = 55%

WILL GIVE BRAINLIEST IF CORRECT!!
Ignore the $
Find $n$, such that $n$ cubed equals the square root of one million.

Answers

Answer:

[tex]n=10[/tex]

Step-by-step explanation:

[tex]Constructing\ an\ equation\ from\ the\ information\ provided\ about\ n,\\n^3=\sqrt{1,000,000}\\Now,\\ n^3=\sqrt{1000*1000}\ [Representing\ 1\ million\ in\ such\ a\ way\ that\ it\\ equals\ to\ the\ square\ of\ a\ real\ number] \\n^3=1000\\n=\sqrt[3]{1000}[Transposing\ the\ exponent\ 3\ from\ the\ LHS\ to\ its\ root\ in\ RHS]\\n=\sqrt[3]{10*10*10}\ [Representing\ 1000\ in\ terms\ of\ a\ cube\ of\ a\ real\ number]\\n=10[/tex]

REAL-WORLD PROBLEM. Joshua's cell phone bill can be represented by
y = 0.15x + 5 and Jayson's cell phone bill is given by y = 0.20x + 25, where x is the
number of text messages each sends in a month. Interpret the meaning of 0.15 and
0.20 in these equations, and describe the difference between the graphs of the
functions.


HELP ASAP PLSSSSS

Answers

Answer:

Step-by-step explanation: 0.15 and 0.2 are the slope of the line on the graph. The graph of the equation reading y = 0.20x + 25 would show a steeper line bc the bigger the slope the steeper the line.

UMM SOMEONE CAN HELP ME I need to do this using the distributive property and collecting like terms.

8 − 4 ( 1/8r −3 1/2

Answers

The answer is 21 1/2. Hope this helps, love!

The integer 4 is considered all of the following except _____.

a term
a constant
an expression
a variable

Answers

Answer:

variable

Step-by-step explanation:

variables are often expressed by letters

Rewrite 105,000 in scientific notation.

Answer options are in pic below

Answers

C is my chose of an answer

Answer:

the answer is the third option (C)

okay. i need help i been working on this for like- 4 hours i dont know chile anyways so. im kinda not- smart- right now and i lost my brain. so a little help please <3

Answers

1. 8.2 repeating

2. 0.878

3. 22.02 repeating

4. 1.852 repeating

5. 0.76335877

6. 0.270 repeating

Help me please guys I really need it

Answers

Answer:

You have a standard deck of 52 cards You have 4 jacks in the standard card Hence 4/52

The shortest route from London to York is 200 miles.
A lorry is expected to take 4 hours to travel this route.
The lorry actually travels by a different route which increases the distance by 20%, but it still arrives in 4 hours.
By how many more mph than the expected speed does the lorry travel?

Answers

Answer: The lorry is traveling 10 mph over the expected speed.

Step-by-step explanation:

If 200 miles takes 4 hours, the speed is 200mi/4hr which  is 50 mph.

If the distance is increased by 20%, the distance is 240 miles.

240mi/4hr = 60mph

The difference is 10mph

Create the f(x) function based on the table. Answer should be in function notation

Answers

Answer:

It will be

f(x)=x+4

15 divided by 6 2/3 =
A. 100
B. 2/14
C. 100 1/4
D. 2 3/4

Answers

The answer is D. 2 2/3

The answer is 2 1/4.

What should be done to both sides of the equation in order to solve -5m=-40

Divide by -5
Divide by -40
Multiply by -5
Multiply by -40​

Answers

Divided by -5 on both sides
Divide by -5 to get m

Please help answer the first 2 boxes for brainslt

> for brainslt

Answers

m- 2 b- 3 ... 2x+3 negative slope not sure if proportional or not
Answer:

1.
m=-3/2
b=3
Equation: -3/2x+3
Not sure what proportional is (I’m so srry)

And it will be a negative slope

2.
m= -2/5
b= 4
Equation is y= -2/5x+4
Again not sure what proportional means
It will be a negative slope as well

Step-by-step explanation:

Hope it helped!!

Find the unknown of the following

Answers

Step-by-step explanation:

For 4.

4b + 2b + 3b = 180°< Sum of angles of triangle >

9b = 180°

b = 180° / 9

b = 20°

4b = 4* 20° = 80°

2b = 2* 20° = 40°

3b = 3 * 20° = 60°

For 5.

x = 64° + 45° <Exterior angle of a triangle is equal to the sum of two opposite interior angles>

x = 109°

Hope it helps :)

g A nationwide survey of 17,000 college seniors by the University of Michigan revealed that almost 70% disapprove of daily pot smoking. If 18 of these seniors are selected at random and asked their opinion, what is the probability that more than 9 but fewer than 14 disapprove of smoking pot daily

Answers

Answer:

the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608

Step-by-step explanation:

From the information given:

Let N represent the total number of senior students

N = 17000

and k to be the number of seniors disapproving of daily pot smoking

k = 17000 × 0.70

k = 11900

sample size n = 18

Suppose X represents the random variable...

Then,

X = 0,1,2,...,18

Thus X follows a hypergeometric distribution with parameters

(N = 17000, n = 18 & k = 11900)

Thus, the  probability mass function is:

[tex]P(X =x) = \dfrac{(^k_n) (^{N-k}_{n-x} ) }{(^N_n) }; \ max \{0,(N-K) \} \le x \le min \{n,k\}[/tex]

[tex]P(X =x) = \dfrac{(^{11900}_n) (^{17000-11900}_{18-x} ) }{(^{17000}_{18}) }[/tex]

[tex]P(X =x) = \dfrac{(^{11900}_n) (^{51000}_{18-x} ) }{(^{17000}_{18}) }; \ 0\le x \le 18[/tex]

Now, the required probability is computed as:

[tex]P(9<X<14) = P(10 \le X \le13)[/tex]

[tex]P(9<X<14) = P(X =10) +P(X =11) +P(X=12) +P(X =13)[/tex]

[tex]P(9<X<14) = \left\{\begin{array}{c} \dfrac{(^{11900}_{10}) (^{5100}_{18-10}) }{(^{17000}_{18})} + \dfrac{(^{11900}_{11}) (^{5100}_{18-11}) }{(^{17000}_{18})}+ \dfrac{(^{11900}_{12}) (^{5100}_{18-12}) }{(^{17000}_{18})} + \dfrac{(^{11900}_{13}) (^{5100}_{18-13}) }{(^{17000}_{18})}\end{array}\right\}[/tex]P(9<X<14) = 0.0811 + 0.1377 + 0.1874 + 0.2018

P(9<X<14) = 0.608

Thus, the probability that more than 9 but fewer than 14 disapprove of smoking pot daily is 0.608

ANSWER NOW AND THEN U GET THE TEN POINTS
The student council is making bows for Red Ribbon Week. To make a complete bow, they need 234 feet of ribbon. If the student council has 1014 feet of ribbon, how many complete bows can they make?

Answers

Answer:

They made 3 8/11

Step-by-step explanation:

Find the quotient and the remainder when you divide f ( x ) = x 3 + 2 x 2 + 4 x + 6 by x − 2

Answers

Answer:

x^2 + 4x + 12 + [tex]\frac{30}{x-2}[/tex]

Step-by-step explanation:

idrk how to explain this one and im on a computer so i cant take a picture of my work but just divide lol

divide like you would with normal division kinda lol

hope this helps <3

How do you do the equation -8(0.5y - 3

Answers

Answer:

-4y+24

Step-by-step explanation:

You multiply -8 by each figure in the parenthesis.

So, -8(0.5y) and -8(-3)  which is -4y+24 .

ndicate the answer choice that best completes the statement or answers the question.
Determine whether each table represents a linear or a nonlinear function.
by
3
4.5
1.5
2
16
16
V
14
18
Oa Nonlinear, As x increases by 1.5, y increases by a greater amount each time. The rate of change is not constant, so this function is
nonlinear
Ob. Linear; As x increases by 5, y increases by 4 each time. The rate of change is constant, so this function is linear.
Oc. Linear; As x increases by 5, y increases by 2 each time. The rate of change is constant, so this function is linear.
Od. Linear, As x increases by 1.5, y doubles each time. The rate of change is constant, so this function is linear.

Answers

A nonlinear is the correct answer

At the start of a month a customer spends $3 for a reusable coffee cup. She pays $2 each time she has the cup filled with coffee. At the end of the month she has paid
$53. Write an equation to show x number of refills she got for the month.

Answers

Equation: 3+2(x)=53
Answer: x=25

Please help me fast!!! Kevin made chili for a football party. He started making the chili at 1:00 P.M. It took 45 minutes to prepare and assemble the ingredients. Then, the chili had to simmer for 45 minutes. What time was the chili ready?

Include A.M. or P.M. in your answer.

Answers

Answer:

It was ready at 2:30 pm :)

Assume that the readings are a random sample from a population that follows the normal curve. We perform a t-test to see whether the scale is properly calibrated. Find the corresponding P-value for this test..

Answers

Complete Question

Each of the following hypothetical data set represents some repeated weighing of a standard weight that is known to have a mass of 100 g. Assume that the readings are a random sample from a population that follows the normal curve. We perform a t-test to see whether the scale is properly calibrated. Find the corresponding P-value for this test..

The data in grams  are

     100.02 , 99.98 , 100.03

Answer:

The p-value is  [tex]p-value =0.5798[/tex]

Step-by-step explanation:

    Generally the sample mean of the given data is mathematically represented as

        [tex]\= x = \frac{100.02 + 99.98 + 100.03 }{3}[/tex]

        [tex]\= x =100.03 \ g[/tex]

Generally the standard deviation is mathematically represented as  

        [tex]s = \sqrt{\frac{\sum [x_i - \= x]^2 }{n-1} }[/tex]

=>     [tex]s = \sqrt{\frac{[ 100.02 - 100.01]^2+ [ 99.98 - 100.01]^2+[ 100.03 - 100.01]^2 }{3-1} }[/tex]

=>     [tex]s = 0.02645[/tex]

The null hypothesis is  [tex]H_o : \mu = 100[/tex]

The alternative hypothesis is  [tex]H_a : \mu \ne 100[/tex]

Generally the degree of freedom is mathematically represented as

            [tex]df = n - 1[/tex]

=>         [tex]df = 3 - 1[/tex]

=>         [tex]df = 2[/tex]

Generally the test statistics is mathematically represented as    

          [tex]t = \frac{\= x - \mu }{\frac{s}{\sqrt{n} } }[/tex]

=>      [tex]t = \frac{ 100.01 - 100 }{\frac{0.02645}{\sqrt{3} } }[/tex]  

=>      [tex]t = 0.655[/tex]

From the t distribution table the probability corresponding to the t  to the right of the bell curve  at a degree of freedom of  [tex]df = 2[/tex]

         [tex]P( T > 0.655 ) = 0.2899[/tex]

Generally the p-value for this two tailed test is mathematically represented as

          [tex]p-value = 2 * P(T > 0.655)[/tex]

=>       [tex]p-value = 2 * 0.2899[/tex]

=>       [tex]p-value =0.5798[/tex]

       

+) Evaluate the expression 81 – 82.
81 – 82 =

Answers

81 - 8^2 is 17 ..............

Answer:

81-8²

=81-(8×8)

=81-64

=17

identify the slope and y-intercept of the function y=-5x+4 (brainlyest to correct answer)

Answers

Answer: A. The slope is -5, and the y-intercept is (0,4)

Step-by-step explanation:

In standard form, a function is written as y = mx + b, where m = slope and b = the y-intercept

With that in mind, the m value is -5 and the b value is 4

Thus, the slope is -5, and the y-intercept is (0,4)

The Data set shows the ages of the members of two clubs.
CLUB A: 42, 38, 40, 34, 37, 46, 38, 45
CLUB B: 30, 44, 42, 61, 24, 27, 59, 65 m
(10 Points)
Find the mean age for CLUB A :

Answers

Answer:

it goes by  +4 and -4

Step-by-step explanation:

Answer: 40

You can find the mean for club A by adding up every number in the set and then dividing by the amount of numbers in the data set:

So first we add up 42+38+40+34+37+46+38+45
Which = 320

Now we divide that number by 8 because there are 8 numbers in the data set (all the numbers we added up):

320/8=40

So now we know that the mean age is 40!

Hope this helps :)!

What is the value of x? enter your answer in the box.

Answers

Answer:

X = 20

Step-by-step explanation:

3x + 50 = 6x -10

3x - 6x = -10 - 50

-3x = -60

x = -60/-3

x = 20

Answer:

x = 20

Step-by-step explanation:

Vertically opposite angles are congruent.

6x - 10 = 3x + 50

       6x = 3x + 50 + 10

       6x = 3x + 60

6x - 3x = 60

        3x = 60

          x = 60/3

x = 20

Jacob is going on a vacation to Australia. His flight leaves at 1:15 P.M. It takes 1 hour to get to the airport, and Jacob wants to be at the airport 1 hour and 15 minutes before his flight leaves. What is the latest time that Jacob can leave for the airport?


Plzzzz help

Answers

Answer:

The latest time is 12:00

Step-by-step explanation:

take an hour away for 1:15 which is gonna be 12:15 then take the 15 minutes away and you get 12:00

Answer:

11:00

Step-by-step explanation:

if he leaves at 11:00 it’s takes an hour to get there. So when he gets there it’s 12:00 Add an hour 15 and you get 1:15

PLEASE HELP URGENT WILL GIVE BRAINLIEST

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

We know that

An expression can not be a polynomial if any term has a negative exponentAn expression can not be a polynomial if any term has a fraction exponentAn expression can not be a polynomial if any term contains division by a variable.

2)

Given the expression

f(x) = 3x + 4/3 x³ - 7

The given expression is a polynomial with degree 3 (highest power of any variable) and having 3 terms

3)

Given the expression

g(x) =- 5x³ + x - 3/x

The given expression is NOT a polynomial as any term of a polynomial can not have exponent as -1.

For example, the term 3/x or 3x⁻¹ has negative exponent -1.

Thus, g(x) =- 5x³ + x - 3/x

4)

Given the expression

h(x) =x³√5 + x - 3

The given expression is a polynomial with degree 3 (highest power of any variable) and having 3 terms

5)

Given the expression

k(x)=25x²-x³+x⁵

The given expression is a polynomial with a degree of 5 (highest power of any variable) and having 3 terms.

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