Set denominator to zero and solve for x.
x^2 - x - 12 = 0
Factor.
(x - 4)(x + 3) = 0
Solve each factor for x.
x - 4 = 0
x = 4
x + 3 = 0
x = -3
Answer:
The domain is ALL REAL NUMBERS except for x = 4 and x = -3.
SOMEONE PLEASE HELP QUICKLY
A commercial claims that 8 out of 10 dentists recommend a certain brand of toothpaste. To test this claim, a random sample of 85 dentists is obtained. Of these 85 dentists, 73 indicated that they recommend that brand of toothpaste. Using a significance level of 5%, test the claim to see if the proportion of dentists who recommend this toothpaste is not 8 of 10.
a) State the null and alternative hypotheses
b) State the p value
c) Make a conclusion about the claim
Answer:
rgb
Step-by-step explanation:
wrtbtrb
a) The null hypothesis is: p = 0.8 and the alternative hypothesis is p ≠ 0.8.
b) p-value is 0.0838
c) We accept the null hypothesis
What are null and alternative hypothesis?The null hypothesis of a test always predicts no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship.
What is p-value?A p-value is a statistical measurement used to validate a hypothesis against observed data.
a. Let p be the proportion of 8 out of 10 dentists.
The null hypothesis is
[tex]H_0 : p=\frac{8}{10}=0.8[/tex]
The alternative hypothesis is
[tex]H_1:p\neq 0.8[/tex]
b. The sample proportion [tex]\hat p=\frac{73}{85}\approx 0.86\\[/tex]
Z-score, the test statistic is
[tex]Z=\frac{\hat p-p}{\frac{\sqrt{p(1-p)}}{n} } \\\\Z=\frac{0.86-0.8}{\frac{\sqrt{0.8(1-0.8)}}{85} }\\ \\Z=\frac{0.06}{0.043386}\\ \\Z=1.3829\\\\Z\approx 1.38[/tex]
P(Z > 1.38) = 1 - P(Z < 1.38)
∴ P(Z > 1.38) = 1 - 0.9162 = 0.0838
p-value is 0.0838
c. Since the p-value is greater than the level of significance α=0.05, we reject the alternative hypothesis and accept the null hypothesis
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Charlie surveyed his class to determine favorite colors. By examining his results in this chart, which numbered choice represents the fraction of the class that
Color
Number of
Students
red
9
white
4
blue
10
green
8
listed blue as their favorite color.
graph y + 2 = -3/4 (x+4)
Answer:
Use a website called desmos and type in y=-3/4(x+4)-2
Step-by-step explanation:
1) isolate y by subtracting 2 on both sides
y=-3/4(x+4)-2
Answer:
Clue: two points : (0,-5) ( 4 , -8)
Step-by-step explanation:
Look at the graph.
Please hurry!! This assignment is almost due!!
Answer:
x = 23
Step-by-step explanation:
8x-27 = 7x-4
8x-7x = -4+27
x = 23
Hi can someone please send me answers?
Answer:
61 campers will focus on hockey.
Step-by-step explanation:
86+53=139
139-200=61
The equation of a line is given below.
2x + 5y = -5
Find the slope and the y-intercept.
Then use them to graph the line.
Answer:
y=-2/5x-1
Step-by-step explanation:
2x+5y=-5
Step 1: Add-2x to both sides.
2x+5y=-5
+-2 +-2
5y=-2x-5
Step 2: Divide both sides by 5.
5y ÷ 5 = -2x-5÷5
y=-2/5x-1
Compare the linear equation 2x-y=4 to the function graphed below.
Answer:
The answer is be the intercept
Help help help help math math
Step-by-step explanation:
Relation
Hope it correct!!!
Robin is making floral arrangements for a party. Each arrangement has 8 roses and 10 carnations. Each carnation costs $0.75 and each rose costs $1.85. Which expression represents the total cost for one arrangement? A 8 + 10 + (0.75 + 1.85) B (8 + 0.75)(10 + 1.85) C 10(0.75) + 8(1.85) D 8(0.75) + 10(1.85)
Help me pleaseeeeeeeeeee
Carry learning!
Stay safe!
Functions
Acellus
Find the equation of this line.
[?]
-x+ []
y =
Simplify the fractional part.
Answer:
y = -2/5 x +1
Step-by-step explanation:
We know two points on the line (-5,3) and ( 5,-1)
We can find the slope using the slope formula
m = ( y2-y1)/ (x2-x1)
m = ( -1 -3)/( 5- -5)
= (-1-3)/ (-5+5)
-4/10
=-2/5
Using the slope intercept form of the the lint
y = mx+b where m is the slope and b is the y intercept
y = -2/5 x+b
Using one of the point and substitute in for x and y
3 = -2/5 (-5) +b
3 = 2 +b
1 = b
y = -2/5 x +1
The equation of the line passes through the points (0, 1) and (5, -1) will be;
[tex]y = - \dfrac{2}{5}x + 1[/tex]
The equation of a line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (0, 1) and (5, -1).
Now,
Since, The equation of line passes through the points (0, 1) and (5, -1).
So, We need to find the slope of the line.
Hence, the Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 1 - 1) / (5 - 0)
m = - 2 / 5
Thus, The equation of the line with slope - 2/5 is,
[tex]y - 1 = - \dfrac{2}{5} (x - 0)[/tex]
[tex]y - 1 = - \dfrac{2}{5}x[/tex]
[tex]y = - \dfrac{2}{5}x + 1[/tex]
Therefore, The equation of a line is [tex]y = - \dfrac{2}{5}x + 1[/tex].
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Sebastian said that if a number is a perfect square. then the number is even. Provide two examples that show that the statement is false.
Below!
Step-by-step explanation:You can take 25 as one example and 49 as the second example.
Let's factorize.
=> 25 = 5 x 5 = 5² (Which is odd)=> 49 = 7 x 7 = 7² (Which is odd)Conclusion:Hence, the statement is not true.
Hoped this helped.
Find an equation in the form y=ax^2+bx+c for the parabola passing through the points.
(3,25) (1,3) (-5,-15)
Thanks for the help! :)
Answer: [tex]x^2+7.0x-5.0x[/tex]
Step-by-step explanation:
special right triangles, solve for x, y and z
Answer:
x=14
y=27
z=43
Step-by-step explanation:
hope it helps!
mayam bought potato chips to school she share 1/4 of her chips with friends and 1/8 of her chips with her teacher how many has she shared in all?
[tex]\huge\underline\mathtt\colorbox{cyan}{3/8}[/tex]
[tex]\huge\mathsf\colorbox{white}{}[/tex]
Step-by-step explanation :Total shared part:
1/4 + 1/8
Taking LCM and adding:
2/8+1/8
Adding gives:
3/8
POINTS AND BRAINLIEST IF YOU GAVE ME THIS CORRECT!!!
To rent a moving truck for the day, it costs, $33 plus $1 for each mile driven.
a. Write an expression for the cost to rent the truck.
b. You drive the truck 300 miles. How much do you pay?
Answer:
a) x + 33
Step-by-step explanation:
x is the number of miles driven. Therefore, the answer for b is $333
Because it is the miles driven plus 33
Hey! I really need help with this question:
Giving out brainiest to best answer and 100 points. <3
Please help.
Question: How do I memorize words faster and better? And- how do I study faster and quicker?
Answer:
Idea one, if you want to memorize words fast and better, you can put part of it in your password of something and then try to log in to whatever you set the password on everyday. Idea two, if you want to study fast and quicker you need to spend big half of the day learning what you need to learn and reading books.
Hope this helps!
The best way I could explain this is that everyone has there own pace at doing things. Like me I learn very fast but I have to read over something to memorize them.
The only way I could say is that maybe take more notes and go over them everyday. It helped me a lot when I wanted to learn more and get better grades. Also another way is taking you time at first and when you get use to it you'll be able to read faster learn quicker but you have to go slow first to go fast.
Which inequality represents the phrase below? a number more than 72 A. x < 72 B. x > 72 C. x > 71 D. x = 72
Answer:
the answer is. C.i hope this helps sorry if im wrong
QUESTION 18 PLEASE HELP ME ASAPP
Answer:
constant over time
Step-by-step explanation: for every 3 cookies the cost goes up 2 dollars
5-x=3
Work out the value of 3x2
Answer:
No
Step-by-step explanation:
5-X=3
X=5+3
X=8
5-8=3
Function h gives the height of a tennis ball, in feet, t seconds after it is tossed straight up in the air. The equation h(t) = -16t2 +12t+10 defines function h
It took Erika 8 games to score 30 points. At that rate, how many games will it take her to score 45 points?
Answer : 12 games
Step - by - step explanation :
In - order to find out how many games it will take Erika to get 45 points we need to find out how many points she normally gets in 1 game . . .
What is 30 divided by 8 ? 3.75 ( So Erika gets 3.75 points per game ! )
What is 45 divided by 3.75 ? 12 ( So Erika had to play 12 games in - order to get 45 points ! )
The cylindrical container shown below can be completely filled with 24 litres of water. The base area of the container is 600 cm2. What is the height of the container? PLEASE FAST!!
Answer:
40cm
Step-by-step explanation:
volume of a cylinder= πr²h
V=24litres, Area=πr²=600cm², height=?
converting litres to cm³
1litre=1000cm³
24litres= 24×1000
=24000cm³
24000=600× h
h= 24000/600
= 40cm
Kaitlyn drove 360 miles in 9 hours. If she continues driving at the same speed, how far will she have driven in 11 hours?
Answer:
440 miles
Step-by-step explanation:
First, you need to calculate the number of miles per hour. To do this, take the total number of miles traveled and divide it by the number of hours it took. 360/9=40. This means Kaitlyn drove at 40 miles per hour. Then, we need to multiply 40 by 11 to figure out the number of miles she drove in 11 hours because her speed stayed the same. 40*11=440. This means Kaitlyn will have driven 440 miles in 11 hours.
Hope this helps! :)
2. Calculate an expression for dy/dx and d2y/dx2 in terms of t if the parametric pair is given as tan(x) = e^at and e^y = 1 + e^2at
Hint: Turn tan(x) = e^at and e^y = 1 + e^2at into expressions suited to your calculation.
I assume a is a constant. If tan(x) = exp(at) (where exp(x) means eˣ), then differentiating both sides with respect to t gives
sec²(x) dx/dt = a exp(at)
Recall that
sec²(x) = 1 + tan²(x)
Then we have
(1 + tan²(x)) dx/dt = a exp(at)
(1 + exp(2at)) dx/dt = a exp(at)
dx/dt = a exp(at) / (1 + exp(2at))
If exp(y) = 1 + exp(2at), then differentiating with respect to t yields
exp(y) dy/dt = 2a exp(2at)
(1 + exp(2at)) dy/dt = 2a exp(2at)
dy/dt = 2a exp(2at) / (1 + exp(2at))
By the chain rule,
dy/dx = dy/dt • dt/dx = (dy/dt) / (dx/dt)
Then the first derivative is
dy/dx = (2a exp(2at) / (1 + exp(2at))) / (a exp(at) / (1 + exp(2at))
dy/dx = (2a exp(2at)) / (a exp(at))
dy/dx = 2 exp(at)
Since dy/dx is a function of t, if we differentiate dy/dx with respect to x, we have to use the chain rule again. Suppose we write
dy/dx = f(t)
By the chain rule, the derivative is
d²y/dx² = df/dx
d²y/dx² = df/dt • dt/dx
d²y/dx² = (df/dt) / (dx/dt)
d²y/dx² = 2a exp(at) / (a exp(at) / (1 + exp(2at)))
d²y/dx² = 2 (1 + exp(2at))
Find the inverse of the function.
f(x) = x^3 - 3
Helppp for a math exammm
Answer:
d.
Step-by-step explanation:
work out the volume of the cone giving your answer to 3 significant figures 7cm 24cm 25cm
Answer:
1231.50432021 cm³
Step-by-step explanation:
Use the formula:
[tex]\frac{1}{3} \pi r^{2} h[/tex]
And replace known values:
[tex]\frac{1}{3} \pi (7^{2})(24)[/tex]
Aaaand simplify:
[tex]\frac{1}{3}*1176 \pi[/tex]
Which gives approximately:
[tex]1231.50432021[/tex]
And don't forget to put the unit (cm³)!
Answer:
1230
Step-by-step explanation:
1/3*pi*7^2*24
1/3*pi*49*24
=1230
5x + 3y = 41
2x + 3y = 20
show me step by steps how to do this
The answers are:
x = 7y = 2Step-by-step explanation:5x + 3y = 41
2x + 3y = 20
=> 5x + 3y = 41-2x - 3y = -20
=> 3x = 21=> x = 7=> 5(7) + 3y = 41=> 35 + 3y = 41=> 3y = 41 - 35=> 3y = 6=> y = 2Conclusion:Therefore, the answers are:
x = 7y = 2Hoped this helped
[tex]-BrainiacUser1357-[/tex]
Answer:
Step-by-step explanation:
It looks like you need to solve this system of equations.
That means we need to find a value for x and a value for y that makes both equations true.
Since both equations have a 3y in them, this system is ready to use a method called "elimination method"
Since the x terms are lined up, and the y terms are lined up, the equal signs are lined up, and the constants are lined up...you can subtract the bottom equation from the top equation.
5x + 3y = 41
2x + 3y = 20
Subtract and you will get
3x + 0y =21
We don't need to write that 0y, because it is 0.
3x = 21, now divide by 3
x = 7, almost finished!
Use x = 7 in either of the original equations to find y.
5x + 3y = 41 and x = 7
5•7+ 3y = 41
35 + 3y = 41
-35 -35
3y =6
y = 2
So the solution is x=7 and y=2
That can also be written as an ordered pair (7, 2)
The initial balance of a savings account was $275 Adter which transactions will the balance of the savings account be the same as the initial balance?
A. a withdrawal or $232 followed by a deposit of $132
B. a deposit of $278 followed by a withdrawal of $278
C. a withdrawal of $115 followed by a deposit of $312
D. a deposit of $205 followed by a withdrawal of $317
The transactions that would leave the initial balance the same are a deposit of $278 followed by a withdrawal of $278.
The transactions that would leave the initial balance the same are transactions that net to zero. Withdrawals reduce the balance in the account. Deposits increase the value of the balance in the account.
Option A: Net balance
$275 - $232 + 132 = $175
Option B: Net balance
$275 + $278 - $278 = $275
Option C: Net balance
$275 - $115 + $312 = $472
Option D: Net balance
$275 + $205 - $317 = $163
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