Answer:
y = 3x + 1
Step-by-step explanation:
y= -1/3x
perpendicular so y = 3x + b
the line goes through (1,4), so substitute to find the value b , which is where the line intersects with the y axis.
4 = 3*1 +b
so b = 1
y = 3x + 1
f(x)=-3√(x-3)-1 which of the following graphs corresponds to the function above
Answer:
Step-by-step explanation:
graph attached
Answer:
graph y
Step-by-step explanation:
6:PLEASE HELP Evaluate the expression q-v where q =28 and v=13
Answer:
15
Step-by-step explanation:
q-v
substitute values for q and v
28-13
15 is your answer. Hope this helps.
Glen got 48 out of 64 correct in his test. What fraction of the marks did he get wrong?
Answer:
16/64 i think
Step-by-step explanation:
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Total Marks = 64
Correct = 48
Incorrect = 64-48
=> 16
Fraction of Incorrect Answers:
=> [tex]\frac{16}{64}[/tex]
In simplest form:
=> [tex]\frac{1}{4}[/tex]
Dokota has 4/10 kg of clay. He divides the clay to make 8 equal- sized pots. How many grams of clay are in each pot?
4 1 1
--- kg x ----- = ------ kg = 0.05 kg = 50 g
10 8 20
the sum of the ages of an uncle and nephew 2 years ago was 40.In 2 years time from now the age of the uncle will be 3 times that of his nephew by then.Find their ages now
Answer:
Uncle is 34. Nephew is 10.
Step-by-step explanation:
Let u equal the age of the uncle, and n equal the age of the nephew.
First, two years ago, the sum of their ages was 40. We can represent this by subtracting 2 from each variable. Thus:
[tex](u-2)+(n-2)=40[/tex]
[tex]u+n-4=40[/tex]
[tex]u+n=44[/tex]
Next, in two years time, the uncle will be three times as old as his nephew. We can represent this by adding 2. Thus:
[tex]u+2=3(n+2)[/tex]
We now have a system of equations and can solve accordingly.
First, from the first equation, we can determine that:
[tex]u=44-n[/tex]
We can substitute this into the second equation.
[tex](44-n)+2=3(n+2)[/tex]
[tex]46-n=3n+6[/tex]
[tex]40=4n[/tex]
[tex]n=10[/tex]
Thus, the nephew's age is 10.
And the uncle's age is 44-10 or 34.
Write an equation of the line that is perpendicular to y = 1/2x +3 and passes through the point
(10,-5)
Answer:
y = -2x+15Step-by-step explanation:
[tex]y = 1/2x +3\\m =1/2\\m_1m_2 = -1\\1/2m_2 =-1\\m_2= -2\\(10 ,-5)\\x = 10\\y = -5\\y = mx+b \\-5 = -2(10) + b\\-5=-20+b\\-5+20 =b\\b = 15\\m = -2\\Substitute -given -values- into- slope -intercept-form\\y = mx+b\\y = -2x+15[/tex]
What is Pascal's triangle.
Answer:
Pascal's triangle is a triangular array of the binomial coefficients. It is used to find combinations.
Answer:
In mathematics, Pascal's triangle is a triangular array of the binomial coefficients.
Step-by-step explanation:
Can somebody plz help me
Answer: A
Step-by-step explanation:
2x²-2x-9=0
this is a quadratic equation so we will use the quadratic formula .
Δ= b²-4*a*c
b= -2a= 2c= -9let's calculate Δ to khow how many solutions this equations have .
Δ= (-2)²-4*2*(-9)
= 76
we notice that 76>0
so this equation has two solutions : (-b-√76)/4 and (-b+√76)/4
let's calculte the values : (-b-√76)/4= [tex]\frac{-2-\sqrt{76} }{4}[/tex] (-b+√76)/4=[tex]\frac{-2+\sqrt{76} }{4}[/tex]the trick here is to notice that :
[tex]\sqrt{76}[/tex] = [tex]\sqrt{19*4}[/tex]
= [tex]\sqrt{19} *\sqrt{4}[/tex]
= 2[tex]\sqrt{19}[/tex]
Now we will simplify Δ by factoring by 2
[tex]\frac{2*(-1(+/-)\sqrt{19} }{2*2}[/tex] = [tex]\frac{-1(+/-)\sqrt{19} }{2}[/tex]so the answer is a .
The demand function of blankets at COMESA is given by the equation P=60-2Q find the units of good Q ,when P=12 and use integration to calculate the consumer surplus
Answer:
a. 24
b. 864
Step-by-step explanation:
a. The demand function is:
P = 60 - 2Q
When P = 12:
12 = 60 - 2Q
2Q = 60 - 12
2Q = 48
Q = 48/2 = 24
b. Consumer surplus is given as the integral of Demand function:
[tex]CS = \int\limits {[P(Q) - (p)(Q)] \ dQ\\[/tex]
This implies that:
[tex]CS = \int\limits {60 - 2Q} \, dQ\\\\CS = 60Q - Q^2\\\\CS = (60 * 24) - 24^2\\\\CS = 1440 - 576\\\\CS = 864[/tex]
Module 6 What is the line of best fit? Why do we want the sum of the residuals to be as close to zero as possible?
Answer:
zero residual equals zero mean
A line of best fit is a straight line that shows the appropriate correlation among scatter plots of a given data. It is majorly used when the plotted points are not linear, it can be used to express the relationship between dependent and independent variables.
The sum of the residuals should be close to zero because it shows that the line of best fit is accurately drawn. Thus, it implies that there is a linear relationship between the two variables. Since he residual is close to zero, the graph could be said to be a linear graph.
Find the inequality represented by the graph
Answer:
y ≥ -2/3x +3
Step-by-step explanation:
incline is -2/3
and intercept with y-axis is 3
so the equation of the line is
y = -2/3x +3
Since the intended area in the graph I above the line, we now know enough to find the right one question:
y ≥ -2/3x +3
Answer: y>-2/3x+3 because the line is dotted its >
Hey ya'll, DONT DO THE WORK FOR ME just check it for me please, my assignment asked me.....Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time doing homework this week. Is he correct? Show your work to justify your decision.
Then, i answered with:
To find a percentage you just have to put the percent in decimal form then you multiply. 125% = 125/100 125% = 125/100 = 1.25 By doing this, we get 1.25, which is the same as 125% in decimal form. Therefore, Evan was correct. He spent 125% more time doing homework this week.
WAS MY ANSWER CORRECT OR NOTTTT
Answer:
No it was not
why... well he spent 25% time.
Step-by-step explanation:
In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JK=24 and JM=18, find JL.
Answer:
JL = 32
Step-by-step explanation:
We are told in the above question that:
In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JK=24 and JM=18, find JL.
From the attached diagram, we can see that
JL : JK = JK: JM
Therefore,
JL/ JK = JK /JM
Where JL = Unknown
JK = 24
JM = 18
JL/ 24 = 24/18
Cross Multiply
24 × 24 = JL × 18
Divide both sides by 18
JL = (24 × 24) /18
JL = 576/18
JL = 32
Please help me.I want an accurate answer and true answer.
Answer:
m∠x = 65°
m∠y = 81°
m∠z = 34°
Step-by-step explanation:
Since we have 2 transversals and a pair of parallel lines, we can see that at ∠A it equals 65°. If we use the Corresponding Angles Theorem, the m∠A = m∠x. Therefore, x = 65°
To find y, we know that a line is 180°. So, 180 - (65 + 34) = 81°
To find z, we know that all angles in a triangle add up to 180°. So, 180 - (81 + 65) = 34°. Alternatively to find z, we could use Alternate Interior Angles Theorem.
The real numbers x and y are such that x + y &= 4 x^2 + y^2 &= 22 x^4 = y^4 - 176 \sqrt{7}. Compute x - y.
PLEASE HELP ASAP
Answer:
[tex]\large \boxed{\sf \ \ \ x-y=-2\sqrt{7} \ \ \ }[/tex]
Step-by-step explanation:
Hello,
it took me some time to understand the correct equations, I believe that you mean
[tex]x+y=4\\\\x^2+y^2=22\\\\x^4=y^4-176\sqrt{7}[/tex]
So let's play with these equations
[tex]x^4=y^4-176\sqrt{7}\\\\<=>y^4-x^4=176\sqrt{7}\\\\<=>y^4-x^4=(y^2)^2-(x^2)^2=(y^2-x^2)(y^2+x^2)=(y-x)(y+x)(x^2+y^2)\\\\=176\sqrt{7}[/tex]
So
[tex]x-y=-\dfrac{176\sqrt{7}}{(x+y)(x^2+y^2)}=-\dfrac{176\sqrt{7}}{4*22}=-2\sqrt{7}=-5.291503...[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
What is the solution to the following equation? 3(7x – 12) + 26 = 3x – 10
Answer:
x=0
Step-by-step explanation:
3(7x – 12) + 26 = 3x – 10
Distribute
21x -36 +26 = 3x-10
21x -10 = 3x-10
Add 10 on each side
21x-10+10 = 3x-10+10
21x = 3x
Subtract 3x from each side
21x-3x = 0
18x =0
x=0
Answer:
x=0
Step-by-step explanation:
3(7x – 12) + 26 = 3x – 10
21x-36+26-3x+10=0
18x-10+10=0
18x+0=0
18x=0
x=0
check : 3(7(0)-12)+26=3(0)-10
: -36+26=-10
-10=-10 it is correct
Which of the following are roots of the polynomial function?
Check all that apply.
F(x) = x^3-6x^+7x-2
Answer:
C, D, and F
Step-by-step explanation:
The roots of the cubic polynomial are 1, (5+√17)/2, and (5-√17)/2 options (C), (D), and (F) are correct.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a cubic or third-degree polynomial:
F(x) = x³ - 6x² + 7x - 2
To find the all possible roots of the cubic polynomial
By using the trial and error method:
Plug x = 1
F(1) = 1 - 6 + 7 - 2
F(1) = 8 - 8
F(1) =0
x = 1 is one of the roots of the polynomial.
We can write the cubic polynomial in the factored form:
F(x) = (x - 1)(x² -5x + 2)
We have a quadratic polynomial:
= x² -5x + 2
To find the roots of the quadratic polynomial use the quadratic formula:
a= 1, b = -5, and c =2
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\rm x = \dfrac{-(-5) \pm\sqrt{(-5)^2-4(1)(2)}}{2(1)}[/tex]
After solving:
x = (5+√17)/2
x = (5-√17)/2
Thus, the roots of the cubic polynomial are 1, (5+√17)/2, and (5-√17)/2 options (C), (D), and (F) are correct.
Learn more about Polynomial here:
brainly.com/question/17822016
#SPJ5
Work out the mean for the data set below: 806, 809
ill give you brainest
Answer:
The mean of the following set of data would be 807.5
Step-by-step explanation:
mean: 806 + 809 = 1,615 ÷ 2 = 807.5
Basically, you just have to add the two numbers in the set of data or the listed numbers...
Then you have to divide it with the total amount of numbers there are in the set of data. In this problem it would be 2 since there are only 2 numbers in the set of data.
Step-by-step explanation:
mean is total÷no.
806+809=1615, the total, the no. is 2
1615÷2=807.5
The simplest way
The ratio of cement : sand : aggregate in a mix of concrete is 1 : 3 : 3. Sang wants to make 112 kg of concrete. How much sand does he need?
Answer: 48
Step-by-step explanation:
The share of sand in the mixture is 3/7
To make 112 kgs. of concrete, he will need
3/7 x 112 = 48 units of sand
Answer:
48 kgsolution,
Ratio of cement:sand:aggregate
=1:3:3
Total of ratios=1+3+3
=7
Total concrete=112 kg
Amount of sand required:
[tex] \frac{ratio \: of \: sand}{total \: ratio} \times amount \: of \: concrete \\ = \frac{3}{7} \times 112 \\ = 48 \: kg[/tex]
Hope this helps...
Good luck on your assignment...
Scores on the Critical Reading part of the SAT exam in a recent year were roughly Normal with mean 495495 and standard deviation 118118 . You choose an SRS of 100 students and average their SAT Critical Reading scores. If you do this many times, the standard deviation of the average scores you get will be close to 118100=1.18118100=1.18 . 118100√=11.8118100=11.8 . 118100⎯⎯⎯⎯⎯⎯√=1.09118100=1.09 . 118118 .
The question is not typed properly! Complete question along with answer and step by step explanation is provided below.
Question:
Scores on the Critical Reading part of the SAT exam in a recent year were roughly Normal with mean 495 and standard deviation 118 .
You choose an SRS of 100 students and average their SAT Critical Reading scores. If you do this many times, the standard deviation of the average scores you get will be close to
a. 118
b. 118/100=1.18
c. 118/√100= 11.8
d. cannot be determined
Answer:
The standard deviation of the sample would be
[tex]s = \frac{\sigma}{\sqrt{n}} \\\\s = \frac{118}{\sqrt{100}} \\\\s = 11.8[/tex]
The correct option is (c)
Therefore, the standard deviation of the average scores you get will be close to 11.8
Step-by-step explanation:
From the given information,
The population mean SAT critical reading score is
[tex]\mu = 495[/tex]
The population standard deviation is
[tex]\sigma = 118[/tex]
You choose an SRS of 100 students and average their SAT Critical Reading score.
[tex]n = 100[/tex]
Since the sample size is quite large then according to the central limit theorem,
The mean sample will be the same as the population mean SAT critical reading score.
[tex]\bar{x} = \mu = 495[/tex]
The standard deviation of the sample would be
[tex]s = \frac{\sigma}{\sqrt{n}} \\\\s = \frac{118}{\sqrt{100}} \\\\s = 11.8[/tex]
The correct option is (c)
Therefore, the standard deviation of the average scores you get will be close to 11.8
Which is the value of g(-5) it g(x) = 3,4x - 8?
Answer:
g(-5)=-25
Step-by-step explanation:
Liam wants to treat some friends to lunch. He has $50 and knows that lunch will cost about $8 per person, p. How many people can Liam buy lunch for?Part A- Write and solve an inequality to represent the Situation
Answer:
T ≥ 8x
50 ≥ 8x .......1
x ≤ 6
Liam can buy lunch for 6 people.
Step-by-step explanation:
Let x represent the number of people Liam can buy lunch for.
Given;
Lunch cost per person r = $8 per person
The total amount he has T = $50
The cost of buying lunch for c people is;
C = $8 × x
C = 8x
Therefore, to be able to buy lunch for them, the total cost C must be less than the total amount he has.
T ≥ C
Substituting C, we have;
T ≥ 8x
50 ≥ 8x ,.......1
Solving the inequalities;
8x ≤ 50
x ≤ 50/8
x ≤ 6.25
To the nearest whole number;
x ≤ 6
Liam can buy lunch for 6 people.
Tim has 39 pairs of headphones and 13 music players. Tim wants to sell all the headphones and music players in identical packages what is the greatest number of packages time can make
Answer:
He will have 13 packages containing 3 pairs of headphones and 1 music player each.
Step-by-step explanation:
He has 39 pairs of headphones and 13 music players.
He wants to sell both set of items in identical packages.
To do this he has to divide them in such a way that the same number of both set of objects are in every box.
Let us find the ratio of the pairs of headphones to music players:
39 : 13 = 3 : 1
Therefore, dividing the pairs of headphones into 3 parts and the music players into 1 part, he can have identical packages.
So, he will have 13 packages containing 3 pairs of headphones and 1 music player each.
A lighthouse flashes a beam of light once every 3/5 of a minute. How many times does it flash a beam of light in half an hour?
Answer:
Total number of flash = 50 flash
Step-by-step explanation:
Given:
Time taken of a flash = 3/5 minute = 3/5 × 30 = 36 sec
Total time = 30 minute = 30 × 60= 1800 sec
Find:
Total number of flash in 30 minutes
Computation:
⇒ Total number of flash = Total time / Time taken of a flash
⇒ Total number of flash = 1800 / 36
⇒ Total number of flash = 50 flash
An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared + b x + c. If x – 10 is a factor of x2 – 8x – 20, what is the other factor? x +
Answer:
The other factor is (x + 2).
Step-by-step explanation:
If x - 10 is a factor of x^2 - 8x - 20 then we must find another factor that includes +2x, so that we have -10x + 2x = -8x. That factor is (x + 2):
x^2 - 8x - 20 = (x - 10)(x + 2)
As a test, multiply -10 and +2. We get -20, matching the constant of the given polynomial. Also, -10x + 2x = -8x, another match.
Answer:
(x-12) and (x+12)
Step-by-step explanation:
please help 25 points What is the value of x? Enter your answer in the box. x =
Answer:
x = 4
Step-by-step explanation:
We can find RT
sin theta = opposite / hypotenuse
sin 60 = 2 sqrt(3) / RT
RT = 2 sqrt(3) / sin 60
RT = 2 srt(3) / ( sqrt(3) / 2)
RT = 4
tan theta = opp/ adjacent
tan 45 = x / RT
tan 45 = x / 4
4 tan 45 = x
4 * 1 = x
4 = x
Multiply the polynomials. (2x^2 + 6x + 6)(3x – 2)
Hey there! :)
Answer:
6x³ + 14x² + 6x - 12.
Step-by-step explanation:
Given:
(2x² + 6x + 6)(3x - 2)
Multiply each term in the first polynomial by both terms in the second:
3x( 2x² + 6x + 6) - 2(2x² + 6x + 6) =
6x³ + 18x² + 18x - 4x² - 12x -12 =
Combine like-terms:
6x³ + 14x² + 6x - 12.
Mike put 304 baseballs into 8 trash bins. He put the same number of baseballs in each bin. He took 5 trash bins of baseballs to the baseball field. How many baseballs did he take?
Answer:
190 Baseballs
Step-by-step explanation:
Since he put 304 baseballs into 8 trash cans with an equal amt. in each,
--> we do 304/8 to find how much baseballs we put in each
=> 304/8 = 38
Now, we takes 5 of these 38 trash cans filled with balls to the field
--> we would do 5 x 38 => 5 x 38 = 190
and Thus, we have our answer of 190 baseballs
Hope this helps!
ANSWER ASAP PLEASE!!!!!!!!!!!! THANKS!!!!!!!!! :)
Answer: the answer is A
Step-by-step explanation:
what is the slope of these lines that contain these points (-1,10) (1,2) (3,-6) (5,-14)
Answer:
-4
Step-by-step explanation:
y = -4x + 6 is the equation and -4 is the slope