Answer:
3x-4y=-40
Step-by-step explanation:
Hi there!
We're given the equation of the line, y-4=3/4(x+8) in point-slope form (y-[tex]y_{1}[/tex]=m(x-[tex]x_{1}[/tex]), where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) is a point and m is the slope)
We need to convert y-4=3/4(x+8) into standard form (ax+by=c, where a, b, and c are integer coefficients; a CANNOT be 0, and CANNOT be negative).
So we need to get y-4=3/4(x+8) out of point-slope form
We can do this by converting the equation into slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
to do this, we need to isolate y by itself in the equation
first, do the distributive property and distribute 3/4 on the right side
y-4=3/4x+6
add 4 to both sides
y=3/4x+10
now the equation is in slope-intercept form, but remember, we want it in standard form
x and y are on the same side in standard form, so let's subtract 3/4 x from both sides
-3/4x+y=10
however we aren't done; in standard form, the coefficients need to be integers (whole numbers), and a (the coefficient in front of x) CANNOT be negative
so let's multiply both sides by -4 to clear the fraction and change the sign of a
-4(-3/4x+y)=-4(10)
do the distributive property
3x-4y=-40
Hope this helps! :)
Use the graph of f(x) to estimate f(3).
Answer:
f(3) = -8
Step-by-step explanation:
f(3) means find the y value when x=3
Using the graph the y value when x =3 is -8
f(3) = -8
Find the first two expressions in the sequence _, _, 4x+5, 5x+7, 6x+9, 7x+11, 8x+13...
Answer:
First term: 2x+1
Second term: 3x+3
Step-by-step explanation:
The coefficient of x is going up by 1 time each time while the constant term is going up by 2.
We are looking at these two questions basically:
1) What are the first two terms in?
_,_,4,5,6,7,8
2) What are the first two terms in?
_,_,5,7,9,11,13
Answers:
1) Since the sequence is going up by 1 reading left to right, then right to left it's going down by 1.
So before 4, we have 3.
Before 3, we have 2.
The sequence for the coefficient of x is 2,3,4,5,6,7,8
2) Since the sequence is going up by 2 from left to right, then it's going down by 2 reading right to left.
So before 5, we have 3.
Before 3, we have 1.
The sequence for the constant term is 1,3,5,7,9,11,13.
So first two terms of the sequence in ascending order according to the sequence is:
2x+1
3x+3
find the value of a and the value of b :
4x2 - 4x - 15 is a factor of 4x3 + ax2 + bx + 30.
Step-by-step explanation:
the answer is in the above image
pls give me BRAINLIEST
Siobhan needs to fill her cylindrical shaped fish tank. The base of the fish tank has a diameter of 10 in, and the height of the fish tank is 8 in. Which statement describes how Siobhan can find out how much water she needs to fill the fish tank
Answer:
C = 5^2 * Pi * 8
Step-by-step explanation:
Formula = [tex]r^{2}[/tex]*Pi*h
r = d / 2
d=10, so r=5
h = 8
Please help!!!! Shsjsjahshsh
Answer:
The answer is b
Step-by-step explanation:
Find NP from the Rectangle
Answer:
9.16
Step-by-step explanation:
by using pythagorean theorem,
given that PQ=4 and NQ = 2×5 = 10
NP²= NQ²-PQ²
= 10²-4²
= 100-16
= 84
NP = √84 = 9.16
solving quadratic equation using the completing the square method. (a).x²+20x-12=0
Answer:
[tex]x = -10 + 4 \sqrt7 \ , \ x = -10 - 4 \sqrt7[/tex]
Step-by-step explanation:
x²+20x-12=0
a = 1, b = 20, c = -12
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2x}[/tex]
[tex]x = \frac{-20 \pm \sqrt{448}}{2}\\\\x = \frac{-20 \pm \sqrt{8 \times 8 \times 7}}{2}\\\\x = \frac{-20 + 8\sqrt{7}}{2} \ , \ x = \frac{-20 - 8 \sqrt7}{2}\\\\x = \frac{-10 + 4\sqrt{7}}{1} \ , \ x = \frac{-10 - 4 \sqrt7}{1}\\\\x = -10 + 4 \sqrt7 \ , \ x = -10 - 4 \sqrt7[/tex]
The cost of playing golf increases with the number of games played. Identify the independent and dependent quantity in the situation.
A. hours played; cost
B. cost; games played
C. cost; hours played
D. games played; cost
what is butterfly cycle
The butterfly and moth develop through a process called metamorphosis. This is a Greek word that means transformation or change in shape. There are four stages in the metamorphosis of butterflies and moths: egg, larva, pupa, and adult.
mark me brainliesttt :)))
The equation C = 0.20x + 50 gives the cost C in dollars for renting a truck and
driving it x miles. This equation is in the form y = mx + b.
Identity the slope and write a sentence to describe the meaning of the slope.
Answer:
0.20 dollars/mile
Step-by-step explanation:
The slope actually has units. It has the meaning of 20 cents per mile. The units are cents per mile.
But it can also be 0.20 dollars/mile which is probably the way you should interpret it in a math class. That way it matches the units of the 50 which is for certain in dollars.
What is Associative property mean?
On Wednesday, a local hamburger shop sold a combined total of 294 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answer:
check the picture
Step-by-step explanation:
I hope this help
find the value of x? please I really need help
Answer:
the answer to x is 33
Step-by-step explanation:
The whole thing must equal 180 degrees
A number y divided by 3 is at least - 19.
Answer:
-57
Step-by-step explanation:
-19 * 3 = -57
Hope this helps!
7. A biscuit recipe calls for these
ingredients:
3/8
cup of brown sugar
- 2 1/2 cups of flour and
1/3 cup of white sugar
b) Would a bowl that holds 3 cups
be big enough to hold all three
ingredients? Explain how you know.
Hope this explanation helps. :)
A.
B.15.2
D.76.2
D.94
C.74.8
11. परीक्षा फलमा १० वटा विषयको औसत ८० छ। सबभन्दा उच्च औसत र न्यून २ वटा विषयको प्राप्ताङ्क हटाए पछिको औसत
८८ छ। न्यूनतम अंक ६० भए उच्चतम अंक कति होला ?
A.90
B.91
C.92
12. सिताले आफूसँग भएको पैसाको रकम रितासँग सापट लिई, रिताले दिएको रकमको आधा रकम रामसँग सापट लिई र यसरी
जम्मा भएको रु. २८ ले खाजा खाई भने ऊसँग सुरुमा कति पैसा थियो ?
B. Rs. 18
A. Rs. 16
D.Rs.22
C.Rs.20
लोकसेवा आयोगमा फर्म बझाउनको लागी लाइन लागि रहेका ९ जना विद्यार्थीको औसत उमेर ५० छ। अगाडिको ४ जनाको
Answer:
whatgxxiffif️️️️️⛔
Cary earned $56 for 7 hours of babysitting.
How much would Cary earn for 55 hours of babysitting?
Answer:
440.
Step-by-step explanation:
56/7=8
8x55=440.
Answer:
440
Step-by-step explanation:
56 divided by 7 equals 8 which means she gets 8 dollars an hour so to find out how much she gets for 55 just multiply 55 times 8.
write an expression to represent multiplying twice the difference of 9 and 7 PLS HELP TYSM ASAP TOO PLS
Answer:
2*3
Step-by-step explanation:
multiplying 2 the difference subtraction of 9-7 your answer is 2*3
A pie tin has an area of 81 pi square inches. Which choice below is closest to its
circumference?
Answer:
can i have the choices
Step-by-step explanation:
out of 10 student, the favorite drink of 7 is Coke and the favorite drink of of the rest is fanta. a teacher picks a student at random. what is the probability that the favorite drink of the student is (a) Coke (b) fanta (c) neither Coke nor fanta (d) either Coke or fanta
Answer:
a) 0.7
b) 0.3
c) 0
d) 1
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
(a) Coke
Out of 10, 7. So
[tex]p = \frac{7}{10} = 0.7[/tex]
(b) fanta
3 out of 10. So
[tex]p = \frac{3}{10} = 0.3[/tex]
(c) neither Coke nor fanta
7 Coke, 3 fanta, so all 10 are either coke or fanta. Thus:
[tex]p = \frac{0}{10} = 0[/tex]
(d) either Coke or fanta
All 10. Thus:
[tex]p = \frac{10}{10} = 1[/tex]
Emily is going to invest in an ascount paying an interest rate of 4.4% compounded
daily. How much would Emily need to invest, to the nearest hundred dollars, for the
value of the account to reach $31.000 in 8 years?
If the mean number of years between asbestos exposure and death is found to be 25 years with a standard deviation of 7 years in a particular county, what is the probability that the mean number of years between asbestos exposure and death will be between 22 and 29 years in a sample of 50 people taken from that community
Answer:
0.9988 = 99.88% probability that the mean number of years between asbestos exposure and death will be between 22 and 29 years.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The mean number of years between asbestos exposure and death is found to be 25 years with a standard deviation of 7 years in a particular county
This means that [tex]\mu = 25, \sigma = 7[/tex]
Sample of 50:
This means that [tex]n = 50, s = \frac{7}{\sqrt{50}}[/tex]
What is the probability that the mean number of years between asbestos exposure and death will be between 22 and 29 years?
This is the p-value of Z when X = 29 subtracted by the p-value of Z when X = 22.
X = 29
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{29 - 25}{\frac{7}{\sqrt{50}}}[/tex]
[tex]Z = 4.04[/tex]
[tex]Z = 4.04[/tex] has a p-value of 1.
X = 22
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{22 - 25}{\frac{7}{\sqrt{50}}}[/tex]
[tex]Z = -3.03[/tex]
[tex]Z = -3.03[/tex] has a p-value of 0.0012.
1 - 0.0012 = 0.9988
0.9988 = 99.88% probability that the mean number of years between asbestos exposure and death will be between 22 and 29 years.
Leticia invests $200 at 5% interest. If y represents the amount of money after x time periods, which describes the graph of the exponential function relating time and money?
The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time.
The initial value of the graph is 200. The graph increases by a factor of 5 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 2 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 1.02 per 1 unit increase in time.
Answer:
First you need to state the equation that represents the function.
Investment is $200 and interest rate is 5%, y is the amount of money after x periods.
Note that after 1 period the amount of money is 200 plus 5% interest, which is 200 + 5%(200) = 200 (1 +5%) = 200 (1 + 0.05) = 200 (1.05)
After 2 periods the amount is 200(1.05)*(1.05) = 200 (1.05)^2
After 3 periods the amount is 200 (1.05)^3
And now you can deduce that after x periods y = 200 (1.05)^x
You can then analyze the function to predict the shape and critical points of the graph.
The answers are based in the initial value and the increasing factor.
The initial value is when x = 0, which yields to y = 200 (1.05)^0 = 200*1 = 200
And the increasing factor is 1.05 because any value is the previos one times 1.05.
Step-by-step explanation:
frank made $156.00 12 hours of work. at the same rate, how many hours would he have to work to make $221?
Answer:
17 hours
Step-by-step explanation:
We first need to find the hourly rate:
156 / 12 = 13
Hourly Rate: $13
Now we can divide 221 by 13, this gives us 17.
That means that Frank will have to work 17 hours to make $221.
Hope this helps!
Find the surface area of each solid figure
Answer:
Step-by-step explanation:
I would appreciate if someone could answer this:)
Answer:
17
Step-by-step explanation:
4a - 4 = 2a + 30
2a = 34
a = 17
A physics class has students. Of these, students are physics majors and students are female. Of the physics majors, are female. Find the probability that a randomly selected student is female or a physics major.
Answer:
[tex]P(Female\ or\ Physics) = 0.38[/tex]
Step-by-step explanation:
Given
[tex]n = 50[/tex] --- total
[tex]Physics =10[/tex]
[tex]Female= 12[/tex]
[tex]Both = 3[/tex]
Required
[tex]P(Female\ or\ Physics)[/tex]
This is calculated as:
[tex]P(Female\ or\ Physics) = P(Female) + P(Physics) - P(Both)[/tex]
So, we have:
[tex]P(Female\ or\ Physics) = \frac{Female+ Physics - Both}{n}[/tex]
[tex]P(Female\ or\ Physics) = \frac{10+ 12- 3}{50}[/tex]
[tex]P(Female\ or\ Physics) = \frac{19}{50}[/tex]
[tex]P(Female\ or\ Physics) = 0.38[/tex]
A circular piece of thin wire is converted into a square of a side 6.25 if there is no loss or gain in its length find the radius of the circular wire
Answer:
12.5
Step-by-step explanation:
Perimeter of square is equal to the length of wire.
length of wire is 6.25×4radius of wire is 6.25×2that is 12.5You are painting your house this summer. If the spot you are trying to reach is 15 feet up the side of the house and you can extend a ladder 6 feet from the base of the house, how long must the ladder be?
Answer:
16.2 ft
Step-by-step explanation:
use pythagorean theorem
a² + b² = c²
6² + 15² = c²
36 + 225 = c²
261 = c²
Take ther square root of both sides
16.155494421403512 = c
Rounded
16.2 ft
How old George Washington?? Pls lmk I need ASAP
