Answer:
x = -4y + 19
Step-by-step explanation:
We have the two equations 3x + 2y = 17 and x + 4y = 19.
The first step would be to rearrange the variables in the second equation so we have a defined expression for x. We would want to do this so we could then plug in the the defined expression for x into the other equation and solve for the other variable.
x + 4y = 19
We can rearrange this by getting the 4y to the other side.
We can get 4y on the other side by subtracting 4y from both sides
x + 4y - 4y = 19 - 4y
x = -4y + 19
And we have just completed the first step!
If f(x)=3x+2 and g(x)=x2−x, find the value. f(x)+1
Answer:
F(x) +1 = 3x+3
Step-by-step explanation:
F(x)+1= 3x+3
im in school rn and i dont understand this!
Answer:
[tex]33\%, ~\dfrac 3{10},~0.32,~ \dfrac 13[/tex]
Step-by-step explanation:
[tex]33\% <\dfrac 3{10}<0.32<\dfrac 13[/tex]
The wallaby is essentially a small kangaroo that is native to Australia. To monitor the wallaby population, scientists catch 88 and tag them. A month later, they capture 600 wallabies and notice that 44 have tags. To the nearest viole number, what is the best estimate for the TOTAL wallaby population using ratios?
The best estimate for the total wallaby population is 1200.
Since to monitor the wallaby population, scientists catched 88 and tag them, already a month later, they captured 600 wallabies and noticed that 44 had tags, to determine what is the best estimate for the total wallaby population using ratios, the following calculation must be done:
44 = 600 88 = X 88 x 600/44 = X 1200 = X
Therefore, the best estimate for the total wallaby population is 1200.
Learn more about maths in https://brainly.com/question/18629331
How many solutions does this equation have?
–2b − 9 = –b
Answer:
b= -3
b=3/2=1.500
Step-by-step explanation:
step 1 . b • (2b + 3) - 9 = 0
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is 3 .
-18 + 1 = -17
-9 + 2 = -7
-6 + 3 = -3
-3 + 6 = 3
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 6
2b2 - 3b + 6b - 9
Step-4 : Add up the first 2 terms, pulling out like factors :
b • (2b-3)
Add up the last 2 terms, pulling out common factors :
3 • (2b-3)
Step-5 : Add up the four terms of step 4 :
(b+3) • (2b-3)
Solve the system of linear equations by substitution x=5y+2 and x-4y=5
Answer:
(17,3)
Step-by-step explanation:
Equation 1.
x=5y+2
Equation 2.
x-4y=5
To solve with substitution, it looks like the x-variable in the first equation is already isolated. So, plug the first equation into the x-variable in the second equation.
x-4y=5
(5y+2)-4y=5
y+2=5
y=3
Now that we found y, plug y into one of the equations to solve for x.
x=5y+2
x=5(3)+2
x=15+2
x=17
(17,3)
Among 320 randomly selected airline travelers, the mean number of hours spent travelling per year is 24 hours and the standard deviation is 2. 9. What is the margin of error, assuming a 90% confidence level? Round your answer to the nearest tenth.
The margin of error of the random selection is 0.29
The given parameters are:
[tex]n = 320[/tex] --- the sample size
[tex]\sigma = 2.9[/tex] --- the standard deviation
[tex]\bar x = 24[/tex] --- the mean
[tex]\alpha = 90\%[/tex] --- the confidence level.
The margin of error (E) is calculated as follows:
[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]
So, we have:
[tex]E = z \times \sqrt{\frac{3.2^2}{320}}[/tex]
[tex]E = z \times \sqrt{\frac{10.24}{320}}[/tex]
The z-value for 90% confidence level is 1.645.
Substitute 1.645 for z
[tex]E = 1.645 \times \sqrt{\frac{10.24}{320}}[/tex]
[tex]E = 1.645 \times \sqrt{0.032}[/tex]
Take square roots
[tex]E = 1.645 \times 0.1789[/tex]
Multiply
[tex]E = 0.2943[/tex]
Approximate
[tex]E = 0.29[/tex]
Hence, the margin of error is 0.29
Read more about margin of error at:
https://brainly.com/question/14396648
Now simplify the expression.
(2x − 3)(5x + 6)
Answer:
10x+18
Step-by-step explanation:
2x*5x=10x
-3*6=18
10x+18=
x=1.8
What is a if 5 to the power of a is 1/125
Answer:
its 84.987
Step-by-step explanation:
Trust me im smart :)
WILL MARK BRAINLIST PLS ANSWER ITS VERY IMPORTANT
Answer:
Step-by-step explanation:
a) 4th
b) 300
c) 2nd and 5th
write an equation of the line passing through the point (5,2) that is perpendicular to the line "-x+3y=12"
Answer:
y = -3x + 17
Step-by-step explanation:
first, change the equation into slope-intercept form
add 'x' to each side to get:
3y + x = 12
divide each side by 3 to get:
y = 1/3x + 4
now we need to use a slope that is the opposite reciprocal of 1/3 which would be -3, in conjunction with the point (5,2), by entering these values into the slope-intercept form so we can find the y-intercept ('b') of the new line:
2 = -3(5) + b
2 = -15 + b
17 = b
put slope and y-intercept together to get:
y = -3x + 17
what would the equation be??
Answer:
y = 4x + 8
Step-by-step explanation:
Firstly, choose 2 points ( I chose [2,11] and [4,19] ) use y2-y1/x2-x1 to find your slope of 4, next use one of the points to find your y-intercept, plug the two coordinates into your equation to get 11 = 4 (2) + b , after simplifying, your answer is y = 4x + 8
Brainliest would be appreciated. :-)
it takes a 1/4 bottle glue to make slime if teacher has 15 bottles of glue how many bottles of slime can the 5th graders make
Answer:
60students
Step-by-step explanation: 4 x 15=60
This is because each bottle can make 4 slimes and if there are 15 bottles you multiply 4 by 15. Now you will receive 60.
Find the area of the square
Answer:
144
Step-by-step explanation:
225-81 because with pythagorean thorem both sides should equal the C value or the bigger square.
Simply using quadratic formula! Brainliest will be awarded if correct
Answer:
[tex]\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.[/tex]
Step-by-step explanation:
5y + 12 = [tex]\frac{-8}{y}[/tex]
y*(5y+12)=-8
5[tex]y^{2}[/tex] + 12y = -8
5[tex]y^{2}[/tex] + 12y + 8 = 0
Δ(Delta) = [tex]b^{2}[/tex] - 4ac
= [tex]12^{2}[/tex] - 4*5*8
= -16
Δ<0
therefore we have complex number
y = [tex]\frac{-b}{2a}[/tex] ± [tex]\frac{\sqrt{|Delta|} }{2a}[/tex]
[tex]\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.[/tex]
Eli is now one quarter of his father’s age. In 5 years’ time his age will be one third of
his father’s age. How old is Eli now?
Answer:
10
Step-by-step explanation:
This is because 10×4=40
10+5=15
40+5=45
45/15=3
Answer:
Step-by-step explanation:
Let E and F represent Eli and his Father's current ages.
We are told that E = (1/4)F. ["Eli is now one quarter of his father’s age"]
But in 5 years, that will be:
(E+5) = (1/3)(F+5) ["In 5 years’ time his age will be one third of
his father’s age"]
-------------
We have two equations and two unknowns. Find a way to eliminate one of the two variables and then solve for the remaining variable.
E = (1/4)F
(E+5) = (1/3)(F+5)
It seems to me the easiest would be to use the first equation's definition of E [=(1/4)F] in the second equation:
(E+5) = (1/3)(F+5)
((1/4)F+5) = (1/3)(F+5)
(1/4)F - (1/3)F = (1/3)*5 - 5
F - (4/3)F = (4/3)*5 - 20
-(1/3)F = (20/3) - (60/3)
-(1/3)F = (-40/3)
F = (120/3)
F = 40 years
E = 10 years (based on E = (1/4)F)
====
In five years: F is 45 and E is 15, which would make Eli 1/3 of his father's age in 5 years.
Can someone Please help me on this easy math problem
Answer:
the answer is x4/19P because u add the top of the numerator and times the denominator
3a + 5b - 4a + 2b = *
7a
23ab
a + b
-a + 7b
Answer:
-a + 7b
Step-by-step explanation:
This problem is asking you to simplify the equation.
In order to do this, we will combine like terms (like terms are terms that share the same variable and/or exponent).
So we will combine 3a and -4a to get -1a or just -a, and now we'll combine 5b and 2b to get 7b.
So all together we have -a + 7b.
Hope this helps you :)
[tex]\\ \sf\Rrightarrow 3a+5b-4a+2b[/tex]
[tex]\\ \sf\Rrightarrow 3a-4a+5b+2b[/tex]
[tex]\\ \sf\Rrightarrow (3-4)a+(5+2)b[/tex]
[tex]\\ \sf\Rrightarrow -a+7b[/tex]
[tex]\\ \sf\Rrightarrow 7b-a[/tex]
Find the slope of the line that contains (−7,−1) and (−7,9).
If the slope is not an integer, enter it is a fraction in simplest form. Do not enter a mixed number. Remember, a fraction in simplest form never contains a negative sign in the denominator. If the slope is undefined, “undefined” should be entered.
Answer:
undefined
Step-by-step explanation:
Slope = y - y / x - x
9 - (-1) / -7 - (-7)
= 9 + 1 / -7 + 7
= 10 / 0, undefined.
Cannot divide by zero.
Please help worth 20 points
Answer:
Try going on D.e.s.m.o.s.c.o.m it worked for me when I had something like this
Step-by-step explanation:
GURL POWER
I need helpppopppppppppppp
try it use your brain you can do it
Step-by-step explanation:
im not sure how to explain
16 liters to fraction
Answer:
16 liters to a fraction would be 4.2 or 4 1/5
Step-by-step explanation:
16 liters = 4.22675 gallons
4.2 gallons = 4 1/5 gallons
1000 L= 1 KL
16 L = 0.016 KL
(Divide 16 by 1000 to convert.)
Need help ASAP! Solve for x. Problem in picture;)
What exactly is we supposed to do?
I'll answer it after u answer my question
Answer:
x=40
Step-by-step explanation:
46+57=103
180-103=77
180-162=18
180-58=122
122+18=140
140+x=180
x=40
Plzzz plzzzzzz help meeeee
I’m stuck on this question, can anybody help?
Answer: 1/4
Step-by-step explanation:
Noon is 12:00
Supposing that each number is one hour
15 minutes = 1/4 hrs
And therefore 12:15 PM is represented as 1/4
A student wants to check six websites. Four of the websites are social and two are school-related. After checking just two sites, she has to leave for school. What is the approximate probability that she checked a social website first, then a school-related website? 0. 042 0. 267 0. 533 0. 667.
The approximate probability that she checked a social website first, then a school-related website is 0.267.
First step is to calculate the Total number of websites
Total number of websites=Number of school websites+Number of social websites
Total number of websites=2+4
Total number of websites=6
Second step
Probability of checking the social website first
Probability of checking social website=Number of social websites/Total number of websites
Probability of checking social website= 4/6
Third step
Since one social website is checked which means that she is left with 3 social website and 2 school websites
Total number websites=2+3
Total number websites=5
Forth step
Probability of checking social website=Number of school websites/Total number websites
Probability of checking social website=2/5
Fifth step
Probability= 4/6 x 2/5 = 0.2666
Probability=0.267(Approximately)
Inconclusion the approximate probability that she checked a social website first, then a school-related website is 0.267.
Learn more about probability here:https://brainly.com/question/25688842
Answer:
0.267
Step-by-step explanation:
Total websites = school websites (2) + social websites (4) = 6
Checking social website = social websites (4) /Total websites (6) = 2/3
Total websites is 5
Checking social website = school websites (2) /Total websites (5)
4/6 x 2/5 = 0.2666
Answer: 0.267
Hope this helps :)
3. Solve for side length BD
A
31
D
13 cm
I
47
C
B
Answer:
A
Step-by-step explanation:
this is beacuse of the ? mark!
Glad this will help
Please use the graph below and not some other graph. A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour.
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.
Answer:
see attached
Step-by-step explanation:
The graph starts at 5000 gallons on the vertical axis, and increases at the rate of 1250 gallons per hour, or 5000 gallons per 4 hours until 20,000 gallons is reached after 12 hours.
__
Additional comment
We don't have access to your segment tool, so you will have to copy the graph.
2. (03.03)
How does the graph of f(x) = (x + 6)4 + 2 compare to the parent function g(x) = x4? (10 points)
Answer:
The parent graph is translated 2 to the left and up 6 units.
Step-by-step explanation:
The +2 moves the parent 2 units to the left and the + 6 moves it up 6 units.
6. Kiara's father is paying for a $40 meal. He has a 20%-off coupon for the meal. After the discount, a 6% sales tax is applied. What does Kiara's father pay for the meal? Explain or show your reasoning.
Answer:
33.92
Step-by-step explanation:
40 x .2= 8
40-8= 32
32x.06=1.92
32+1.92= 33.92
Write an equation in slope intercept for a line that passes through (2,2)
Answer:
any line can pass through the point (2,2) so there needs to be a second point
Step-by-step explanation:
