VA
P and Q are points on the line 3y - 4x = 12
a) Complete the coordinates of P and Q.
do
7
7
P (0,
1) Q(,0)
)
6
5|
b) Plot points P and Q on the graph.
Use the X tool to plot the coordinates.
41
31
c) Draw the line 3y - 4x = 12 for values
of x from -3 to 3.
21
1
2 3
-3 -2 -10
-1
NO
Answer:
Step-by-step explanation:
The graphs of the functions (f) and (g) are shown where..
[tex]f(x) = 4.5 \sqrt{x} [/tex]
[tex]g(x) = \frac{1}{9} {x}^{2} [/tex]
Select the TWO closest approximations for solutions to the equations f(x) - g(x) = 0
A.x=0
B.x=5.0
C.x=11.7
D.x=13.5
E.x=20.0
Answer:
[tex]\red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}} \\ \red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}} \\ \red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}}[/tex]
\orange{ \rule{100pt}{999999pt}} < /p > < p > [tex]at < /p > < p > at</p><p>[tex]at</p><p>
Step-by-step explanation:
f(x) - g(x) = 0
f(x) = g(x)
4.5√x = ⅑ x²
4.5 × 9 = x√x
40.5 = x√x
square it on both side
1640.25= x².x
1640.25 =x³
x=11.7
A plumber charges $25 to come to a home, and $15 per hour for a repair. Which equation gives the total cost, y, for a repair that lasts x hours?
Answer:
15x + 25 = y
Step-by-step explanation:
$25 is a fixed cost and will have to be paid if the plumber comes and $15 times the number of hours it takes to do the repair is the variable cost. 'x' in this case is the number of hours. So the equation will be 15x + 25 = y
5. The points used to model a parabola are (-3,0), (6,0) and (4,-5). Write an equation for this parabola.
Which form is most helpful and why?
1)The mass of Sarah's dog is 6 Kg more than two times the mass of her cat. The mass of her dog is 16 Kg.What is the mass of her cat?
Answer:
10 kg
Step-by-step explanation:
Let x be the mass of her cat.
1)
2x + 6 = 16
2x = 16 - 6
2x = 10
x = 10/2
x = 5
2)
2(5)
= 10
Answer:10kg
Step-by-step explanation:
Cameron will spend $285.00 for a car repair. He has $277.00 in the account linked to his debit card. The bank charges a $7 penalty fee per day for using his debit card to make a purchase if he does not have enough funds in his account. What will he pay altogether if he chooses to use his debit card and does not put any more money in his account for 6 days?
Using proportions, considering the daily penalty fee paid, it is found that he will pay $50 altogether.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, since he will spend $285.00, having $277.00, he will be $8.00 in debt.
He will pay a penalty fee of $7.00 per day for 6 days, along with the $8.00, hence the total payment in dollars will be given by:
P = 6 x $7.00 + $8.00 = $50.00.
More can be learned about proportions at https://brainly.com/question/24372153
Kyle goes to the movies with his friends. Each person buys a ticket and two equally priced snacks at the snack bar. Let ticket price be represented by t and the price of the snacks be represented by s. Kyle says the total cost can be represented by the expression 5(t + 2s). Which explanation represents Kyle’s thinking about how to find the total price?
A.
Add the price for each item bought by each person.
B .
Add the total cost of the tickets with the total cost of the snacks for all the people that went to the movie.
C .
Multiply the ticket total by the snack total.
D .
Multiply the total spent on tickets plus snacks by the number of people who went to the movie.
Answer:
The correct answer is actually D
Step-by-step explanation:
i am 100% correct because i just answered this
See
one ticket means it's only 1t or tTwo equally packed snacks means
2×s2sSo if no of friends be 5
Then total is 5(t+2s)Option D
If x=3, calculate the value of:
X squared + 2x
[tex]x^2+2x\\\\\text{If x = 3,}\\\\3^2 + 2(3) = 9 + 6 = 15[/tex]
In 20 years Lillian will be three years older than twice her current age. Set up an equation that
can be used to solve for x, Lillian's current age.
Answer:
ok so x is her currect age y is her age in 20 years
2x+6=y
x+20=y
that means that both sides are equal
2x+6=x+20
-6
2x=x+14
-x
x=14
so her currect age is 14 and lets plug in
14+20=34
her currect age is 14 and her age in 20 years is 34
Hope This Helps!!!
Can someone please answer the attachment
Step-by-step explanation:
linear pair
linear pair
alternate angles.
alternate angles
cointerior angles
I will hope that you like my answer
650ft2 divided by 2/3
Answer:
I'm 100% sure the answer is 4.24
Step-by-step explanation:
please mark as BRAINLIEST
Nine wolves, eight female and one male, are to be released into the wild three at a time. if the male wolf is to be in the first released group and order does not matter, in how many ways can the first group of three wolves be formed? 28 ways 36 ways 56 ways 84 ways
The number of ways the first group of three wolves (necessary to include the male wolf) is given by: Option A: 28
What is the rule of product in combinatorics?If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.
Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.
Thus, doing A then B is considered same as doing B then A
For the considered case, we have:
There are 3 wolves to be included in first group.There are 8 female wolves, and 1 male wolf.1 male wolf is sure to be in the first group.So 2 spaces are remaining and are to be filled by 2 of 8 wolves.
Assuming that all 8 of them are distinguishable, choosing 2 of them is done in [tex]^8C_2 = 28[/tex] ways.
The first process of choosing male wolf for first place is done in 1 way only.
And the second process of choosing 2 female wolves can be done in 28 ways(ordering doesn't matter),
and since first and second process have no necessary order, using product rule, we get;
Number of ways of forming first group of wolves = [tex]1 \times 28 = 28[/tex] ways.
Thus, the number of ways the first group of three wolves (necessary to include the male wolf) is given by: Option A: 28
Learn more about product rule here:
https://brainly.com/question/2763785
Answer:
The above answer is correct! The right answer is option A. 28 :)
Hope this helped! Brainliest would be greatly appreciated :D
Step-by-step explanation:
What is another way to write 3x+9y=-8 to get exactly one solution
Answer:
Step-by-step explanation:
Slope = -0.667/2.000 = -0.333
x-intercept = 8/3 = 2.66667
y-intercept = 8/9 = 0.88889
Answer:
Step-by-step explanation:
Amelia is using substitution to determine if 8 is a solution to the equation. Complete the statements. 6a = 42 for a = 8 First, Amelia must substitute 8 for the using. To simplify, Amelia must. 8 a solution of the equation.
Amelia must substitute 8 for the variable using parentheses. To simplify, Amelia must multiply 8 by 6. 8 is not a solution of the equation.
What is algebraic expression?
Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
Amelia is using substitution to determine if 8 is a solution to the equation. The equation which is Amelia is solving for a = 8 is,
[tex]6a = 42[/tex]
First, Amelia must substitute 8 for the variable using parentheses as,
[tex]6(8) = 42[/tex]
To simplify, Amelia must. multiply 8 by 6.
[tex]48 \neq 42[/tex]
The left hand side of the eqqation is not equal to the right hand side. Thus, 8 is not a solution of the equation.
Thus, Amelia must substitute 8 for the variable using parentheses. To simplify, Amelia must multiply 8 by 6. 8 is not a solution of the equation.
Learn more about the algebraic expression here;
https://brainly.com/question/2164351
Answer:
it is a
Step-by-step explanation:
In the figure below, BC=7 and AB= 16. Find AC.
The expressions BC and AB are illustrations of straight lines
The length AC is 25 units
How to determine the length of AC?The given parameters are:
BC =7
AB = 16
Assume that AB and BC are straight lines.
Then , we have:
AC =AB + BC
Substitute known values
AC = 16 + 7
Evaluate the sum
AC = 25
Hence, the length AC is 25 units
Read more about lengths at:
https://brainly.com/question/2005046
Help please. Thank you
Step-by-step explanation:
use the formula and simply solve
A bag contains 12 balls which are numbered from 1 to 12. If two ball are selected at random, what is the probability that the total sum of the balls will be an even number
Answer:
5/11.
Step-by-step explanation:
The number of ways 2 balls can be selected = 12P2
= 12!/10!
= 12*11
= 132.
There are 6 even numbers and 6 odd numbers in the bag.
If both numbers drawn are even there are 6P2 = 30 ways that sum is even.
If the 2 numbers are odd there are also 30 ways that sum is even.
Any other combination wil be odd.
So the required probabilit = 2(3) / 132
= 60/132
= 5/11.
In what areas is leslie's overspending
hurting her budget?
select all that apply.
ignore my check marks those weren’t right pleas help
Answer:
is there a picture to answer?
Step-by-step explanation:
in a single drawer, erin has some socks of different colors: 3 black and 9 orange. if she pulls one sock out of the drawer what's the likelihood the sock is black??
find the area of the shaded region. please show your work
Answer:
≈184.25
Step-by-step explanation:
1) if r=10 and 'a' is the length of the side of the triangle, then the ratio
a=r√3;
2) the required area can be calculated as
A=πr²-√3/4*a²; ⇔ A=πr²-3√3/4 r²;
3) according to the formula above, the required area:
[tex]A=r^2(\pi -\frac{3\sqrt{3} }{4} ); \ = > \ A=100*(3.1415-\frac{3*1.7321}{4})=184.2462[/tex]
which of these numbers is a solution of the inequality 3x>18?
Answer:
x>6
Step-by-step explanation:
3x>18
x>6
Any number over 6 can satisfy this inequality.
An eight-sided dice is rolled twice. The numbers are 1 through 8. What
is the probability that it will land on the number 7 twice in a row?
Answer:
1/64
Step-by-step explanation:
The probability of both dice being a 1 is 1/8 * 1/8 = 1/64
Maya started to run on a treadmill after setting its timer for 57 minutes. The display says that she has finished 27% of her run. How many minutes have gone by? Round your answer to the nearest tenth.
Answer:
15.4 minutes :)
Step-by-step explanation:
We need to turn the percentage into a decimal first :)
27/100 = 0.27
Now we multiply it by 57 to see how much time has gone by!! :)
0.27 x 57 = 15.39
Now to finish, we round!
9> 5
So 3 becomes 4
She has been on the treadmill for 15.4 minutes!
Now you know how to solve this type of problem!!
Have an amazing day!!
Please rate and mark brainliest!!
What is the measure of angle x?
Enter your answer in the box.
x = ?°
Answer:
x = 43°
Step-by-step explanation:
The three angles to the right of the diagonal line add up to give the angle measure of the line:
x +90° +47° = 180°
x = 43° . . . . . . . . . . . . . subtract 137° from both sides
My Math Problem.
Please Answer This one
Step-by-step explanation:
class 6 to 8 students come here I will give you notes class is started come here fast I am waiting come with your name and class i am also girl come please please please please please please
Answer:
148°or 4x
Step-by-step explanation:
For a four sided Polygon (quatrilateral) the measure of four angles=360
Therefore,
2x+3x+4x +(x -10)=360
9x+x-10=360
10x-10=360
10x=360+10
10x=370
x=37
Therefore all angles are
74, 111, 148, 27
Therefore, largest angle = 148°
MARK ME AS BRAINLISTComplete the sentence.
13. The slopes of perpendicular lines are?
Answer:
negative reciprocals of each other
Step-by-step explanation:
internet
What is the median of the following numbers? 1, 2, 4, 6, 41,2,4,6,41, comma, 2, comma, 4, comma, 6, comma, 4
Answer:
4
Step-by-step explanation:
Here are the Numbers: 1,2,4,6,41,2,4,6,41,2,4,6,4
First we order from least to greatest;
1,2,2,2,4,4,4,4,6,6,6,41,41
Since the amount of numbers are odd, we just take the middle number:4
HELPPPPPPPPP URGENT :(((((((((
Answer:
Step-by-step explanation:
a and b are the parallel sides of the trapezoid.
In the graph, each unit = 2
a = 8 & b= 4
height = h = 8
[tex]\bf \boxed{ \text{Area of trapezoid = $\dfrac{(a+b)*h}{2}$} }[/tex]
[tex]\bf = \dfrac{(8+4)*8}{2}\\\\\\ = \dfrac{12*8}{2}\\\\\\ = 6*8\\\\ = 48 \ square \ units[/tex]
A principal of a large high school wants to estimate the true proportion of high school students who use the community's public library. To do so, he selects a random sample of 50 students and asks them if they use the community's public library. The 95% confidence interval for the true proportion of all students who use the community's public library is 0.25 to 0.34. If the principal had used a sample size of 200 students rather than 50 students, how would the length of the second interval compare to the original interval?
O It would be half as wide.
O It would be twice as wide.
O It would be one-fourth as wide.
O It would be four times as wide
ws
Considering the margin of error of a confidence interval, it is found that the correct option is:
It would be half as wide.
What is the margin of error of a confidence interval?It is modeled by:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which:
z is the critical value.s is the standard deviation.n is the sample size.From this, we get that the margin of error is inversely proportional to the square root of the sample size. Then, multiplying the sample size by 4, when it changes from 50 to 200, cuts the margin of error in half, making the interval half as wide.
More can be learned about the margin of error of a confidence interval at https://brainly.com/question/25890103
Answer: It would be half as wide
Step-by-step explanation:
If the principal had used a sample size of 200 students rather than 50 students, the length of the second interval would be half as wide compared to the original interval.
The width of a confidence interval is inversely proportional to the square root of the sample size. In this case, the sample size is multiplied by 4 (from 50 to 200), so the square root of the sample size is doubled. As a result, the width of the confidence interval is divided by 2, making it half as wide.
Therefore, the correct answer is: It would be half as wide.
Will give brainliest, thanks, and 5 stars! LOTS OF POINTS! 50 POINTS!
I need help with these questions! Please help me. The choices are all true/false.
Please help me!!!!!!
Please provide in depth explanation too!!
Answer in order:
False
True
False
False
False
False
False
True
True
Step-by-step explanation:
All of the solutions to the equation[tex]3x^2 - 12 = 0[/tex]are x = 12 and x = -12
Solve:
Common factor - [tex]3(x^2-4)=0[/tex]
Divide both sides
[tex]x^2-4=0[/tex]
Use the quadratic formula
[tex]x=\sqrt{4,x}=\sqrt{-4[/tex]
x = 2, x = -2
Thus, This is false..
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There are two unique solutions to the equations (x-3)^2 = 16
one variable in matrix = one possible value.
Therefore, x = 7, x = -1
Hence this is True
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The solutions for the equation 2(x-3)^2-18 = 0 are x = 6 and x = 0
[tex]2x^3-18x^2+54x-72=0[/tex]
[tex]x=5.080084[/tex]
Hence this is false
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The solutions for the equation 2(x-5)^2-8=0 are x = 7 and x = -7
Add both sides by 8
2(x-5)^2-8+8=0+8
2(x-5)^2=8
(x-5)^2=4
x = 7, x = 3
Hence, this is false
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The solutions for the equation (x + 3)^2-25 = -8 are x = 2 and x = -8
[tex](x+3)^2=17[/tex]
[tex]x=\sqrt{17-3,}=-\sqrt{17}-3[/tex]
Hence this is false.
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The solutions for the equation 2(2x-1)^2=18 are x = 5 and x = -4
[tex](2x-1)^2=9[/tex]
x=2, x = -1
Hence this is false.
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The only solution for equation (2x-1)^2-49=0 is x = 4
[tex](2x-1)^2=49[/tex]
x = 4, x = -3
Hence, this is false
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The solutions for the equation 3(x+2)^2 - 3 = 0 are x = -3 and x = -1
[tex]3(x+2)^2=3[/tex]
[tex](x+2)^2=1[/tex]
x = -1, x = -3
Hence, this is true
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The solutions for the equation 5x^2 - 180 = 0 are x = 6 and x = -6
Add 180 to both sides
[tex]5x^2-180+180=0+180[/tex]
[tex]5x^2 = 180[/tex]
[tex]x^2 = 36[/tex]
[tex]x=\sqrt{36},x=-\sqrt{36}[/tex]
x = 6, x = -6
Hence, this is true.
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[RevyBreeze]