Answer:
[tex]3x^{2} -3x-11 = 0[/tex]
Step-by-step explanation:
the table below represents a linear function f(x) and the equation represents a function g (x)
part a: write a sentence to compare thw slope of thw two functions and show thw steps you used to determine the slope of f(x) and g(x).
part b: which function has a greater y-intercwpt? justify your answer
Answer:
Step-by-step explanation:
a). For function 'f',
Slope of a linear function passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
For the function 'f' given in the table,
Slope of the linear function passing through two points (-1, -5) and (0, -1) given in the table,
Slope = [tex]\frac{-5+1}{-1-0}[/tex]
= 4
Equation of the line passing through a point (0, -1) and slope = 4 will be,
y - y' = m(x - x')
y + 1 = 4(x - 0)
y = 4x - 1
f(x) = 4x - 1
For function 'g',
Equation of the function 'g' has been given as,
g(x) = 4x + 3
By comparing this equation with the slope-intercept equation of a line,
y = mx + b
Therefore, slope of the function 'g' is,
m = 4
Since slopes of both the functions are same, linear graphs of both the functions will be parallel.
b). Equation of the function 'f' is,
f(x) = 4x - 1
y-intercept of the function = -1
Equation of function 'g',
g(x) = 4x + 3
y-intercept = 3
Therefore, function 'g' will have the greater y-intercept.
The population of watesville decreases at a rate of 1.6% each year if the population was 62,500 in 2015 what will it be in 2021
Answer:
Step-by-step explanation:
We need to first find the model for this particular situation, knowing that this is an exponential decay problem. The main equation for exponential growth/decay (as far as population goes for our problem) is
[tex]y=a(b)^x[/tex] where a is the initial population, b is the rate of decrease in the population which can also be written as (1 - r), y is the population after a certain amount of time, x, goes by. We will let year 2015 = 0 so year 2021 can = 6. This keeps our numbers lower and doesn't change the answer!
Our initial population in the year x = 0 is 62500. Our rate of decay is
(1 - .016) so our b value is .984
Filling in to find our model:
[tex]y=62500(.984)^x[/tex]
Now we can use that model and sub in a 6 for x to find the population in the year 2021:
[tex]y=62500(.984)^6[/tex] and
y = 62500(.9077590568) so
y = 56734.9 or, rounded to the nearest person, 56735
In which quadrant do the points have negative x-coordinates and negative y-coordinates?
Hi there!
»»————- ★ ————-««
I believe your answer is:
Quadrant III
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
The plane is split into four quadrants. Quadrant III houses all the points with negative signs for both X and Y values.⸻⸻⸻⸻
See the attached picture for reference.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
At the end of the day, a local bakery sold 83 cakes and had to throw out 7 cakes due to baking errors. Each cake cost the bakery $6.25 to make. The bakery, in turn, sold each cake for $12.75. What was the total profit earned by the bakery today?
Answer:
The total profit earned by the bakery today was of $495.75.
Step-by-step explanation:
Spending:
83 + 7 = 90 cakes made, each costing 6.25. So
[tex]S = 90*6.25 = 562.5[/tex]
Earnings:
83 cakes sold by $12.75, so:
[tex]E = 83*12.75 = 1058.25[/tex]
Profit:
Earnings subtracted by spending, so:
[tex]P = E - S = 1058.25 - 562.5 = 495.75[/tex]
The total profit earned by the bakery today was of $495.75.
Which of the following intergers is least -5+(-2)
Answer:
I guess the question is incomplete
what is the y-intercept of the line shown below?
A:3/4
B:2
C:3
D:4
The y-intercept is the y value where the blue line crosses the Y axis which is the vertical black line.
The line crosses at the number 4, so the y-intercept is 4
Answer: D. 4
Help! please don't just steal my pointss
Answer:
hi, option C is correct because it has a right angel. please give brainliest
f(x)=3x+2 what is f(5)
Answer:
17
Step-by-step explanation:
Substitute.
f(x)=3(5)+2
=15+2
=17
I hope this helps!
Step-by-step explanation:
if the equation if f(x) = 3x + 2, then f(5) would be equal to 3*5 + 2 = 17.
Rearrange 2x = y/w to make w the subject
HELP HELP HELP MATH I WILL GIVE U EXTRA POINTS⚠️⚠️⚠️⚠️⚠️
Find four consecutive integers with the sum of 2021
Answer:
503.75, 504.75, 505.75, 506.75
Step-by-step explanation:
x+(x+1)+(x+2)+(x+3)=2021
4x+6=2021
4x=2015
x=503.75
so it would be
503.75+504.75+505.75+506.75= 2021
How many fixed-requirement constraints does a transportation problem with 5 factories and 6 customers have?a. 30.b. 11.c. 6.d. 5.
Answer:
Option B
Step-by-step explanation:
From the question we are told that:
Demand point [tex]m=5[/tex]
Supply Point [tex]n=6[/tex]
Generally the equation for fixed-requirement constraints is mathematically given by
[tex]X=m+n[/tex]
[tex]X=5+6[/tex]
[tex]X=11[/tex]
Therefore the correct option is
Option B
Find the missing length (picture below)
Answer:
Step-by-step explanation:
because these are similar triangles, that is, one is a bigger of smaller version of the other, then we know, that the bigger triangle is just 2 times bigger than the smaller, or 2x of any side of the small one
sooo 2(20) =40
so we know that side n of the bigger triangle is 40
what are the two points in the image and what is the midpoint?
One can observe the midpoint is [tex](-3,1)[/tex].
But in order to verify the observation we must use formula to compute the midpoint of the segment formed by the endpoints.
The formula for such midpoint is [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are endpoints.
Our endpoints are [tex](-5,-3)[/tex] and [tex](-1,5)[/tex], so our midpoint is
[tex](\frac{-5-1}{2}, \frac{-3+5}{2})=\boxed{(-3,1)}[/tex].
Hope this helps.
Takes a word processor 20 minutes to spell check 6 pages, how long to check 27 pages
9514 1404 393
Answer:
90 minutes
Step-by-step explanation:
Assuming the time is proportional to the number of pages, you have ...
time/pages = 20/6 = T/27
Multiplying by 27 gives ...
T = 27(20/6) = 90
It is expected to take 90 minutes to check 27 pages.
Slope intercept
6times+5y=15
Answer:
y= (-6/5)x+3
Step-by-step explanation:
6x+5y=15
Divide everything by 5
(6/5)x + y = 3
Move (6/5)x to the other side of the = sign by subtracting
y= (-6/5)x + 3
That's your answer!
Hope it helps!
Finding the Coordinates of the Image On a coordinate plane, the center of dilation is at (0, 0). Triangle A B C is dilated to create triangle A prime A C prime. The points of A B C are (negative 3, 3), (negative 1, 1), and (negative 3, 1). The points of A prime A C prime are (negative 9, 9), (negative 3, 3), and (negative 9, 3). The dilation DO,3 (x, y) → (3x, 3y) is performed on the pre-image △ABC to make a similar triangle. Which statements are true? Check all that apply. ∠A corresponds to ∠A'. ∠A'AC' corresponds to ∠B. CB corresponds to C'A. Segment A'A is parallel to segment C'C. △ABC ~ △A'AC'.
Answer:
- A corresponds to A’
- A’AC’ corresponds to B
- CB corresponds to C’A
- ABC ~ A’AC’
Step-by-step explanation:
Is −8 a solution to the equation 3x = 16 − 5x? How do you know?
What is the simplest form of 0.0115
23/200
Hope this helps! :)
Answer:
23/2000
Step-by-step explanation:
0.0115 can be written as 115/10000
=23/2000
Please mark me as brainliest.
If f(x) = 4x and gx) = 2x- 1, what is g(f(-2))?
-17
-13
-8
-5
Answer:
-17
Step-by-step explanation:
We are given these following functions:
[tex]f(x) = 4x[/tex]
[tex]g(x) = 2x - 1[/tex]
g(f(-2))
First we find f when x = -2, then we find g for this value(f when x = -2). So
[tex]f(-2) = 4(-2) = -8[/tex]
[tex]g(f(-2)) = g(-8) = 2(-8) - 1 = -16 - 1 = -17[/tex]
Thus -17 is the answer.
AXYZ is reflected across the line x = 3. What is the reflection image of X
Answer:
The answer should be (7, 5)
Mark purchashed 3 giant jawbreakers at 75cents each.he also bought 1/4 pound of hot tamales.which sell for $2.76 a pound.he gave the clerk a $5 bill.how much change did mark recieve? Whith his change,mark decided to buy 1/2 pound of m&ms at $3.24 a pound.how much money does mark have left?
Answer: $0.44
Step-by-step explanation: a) (3 * 0.75) + ((1/4)*2.76) = 2.25 + 0.69 = 2.94
Pays with $5 - $2.94 = $2.06 Change
((1/2) * 3.24) = $1.62
Money left = 2.06 - 1.62 => $0.44
A plumber charges $50 for the first visit plus $8 per hour of work. If the total bill is $290, how many hours did the plumber work?
30 hours
40 hours
80 hours
None of these choices are correct.
Answer:
Step-by-step explanation:
50 + 8x = 290
8x = 240
x = 30 hours
if 1 candian dollar is equivalent to 1.04 austrialian dollars what is the value if 4269 australian dollars in canadian currency?
Answer:
4104.807
Step-by-step explanation:
4269÷1.04
=4104.807
Answer:
4104.8
Step-by-step explanation:
To solve this problem, the easiest approach is to set up a proportion. Use the following general format;
[tex]\frac{currenncy_1}{currency_2}=\frac{balance_1}{balance_2}[/tex]
This will allow one to describe the relationship between the different currency values. Substitute in the given information and solve;
[tex]\frac{currenncy_1}{currency_2}=\frac{balance_1}{balance_2}[/tex]
[tex]\frac{canadian}{australian}=\frac{balance_1}{balance_2}[/tex]
[tex]\frac{1}{1.04}=\frac{x}{4269}[/tex]
Cross products,
[tex]\frac{1}{1.04}=\frac{x}{4269}[/tex]
[tex](1)(4269)=(1.04)(x)\\4269=1.04x[/tex]
Inverse operations,
[tex]4269=1.04x\\4104.8\approx x[/tex]
The area of a rectangle is (4x2 − 49y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely.
Answer:
8x
Step-by-step explanation:
[tex](4x^{2} - 49y^{2} ) = (2x+7y)(2x-7y)[/tex]
Barry and Robin walk to Dunkin' Donuts each Saturday to meet for coffee and donuts. Barry walks the 2 miles from his house in 30 minutes and Robin walks the 3 miles from his house in 36 minutes. Find the unit rate in minutes per mile for Barry. Find the unit rate in minutes per mile for Robin. Who walks faster, Barry or Robin
Answer : barry
12<15
Barry's unit rate is 15 minutes per mile and Robin's unit rate is 12 minutes per mile
The unit rates of Barry and RobinWe have:
Barry
Distance = 2 miles
Time = 30 minutes
Unit rate = Time/Distance
Unit rate = 30 minutes/2 miles
Unit rate = 15 minutes per mile
Robin
Distance = 3 miles
Time = 36 minutes
Unit rate = Time/Distance
Unit rate = 36 minutes/3 miles
Unit rate = 12 minutes per mile
Hence, Barry's unit rate is 15 minutes per mile and Robin's unit rate is 12 minutes per mile
Who walk faster?The unit rates mean that:
Barry covers 1 mile in 15 minutesRobin covers 1 mile in 12 minutesHence, Robin walks faster
Read more about unit rates at:https://brainly.com/question/19493296
#SPJ6
Simplify i need help
Answer:
c
Step-by-step explanation:
when we take the 5 inside the root the 5 vil be 5^2 times 2 which is equal to 50
What is the measure of angle WZY? 54.5° 71° 125.5° 180°
Answer:
71
Step-by-step explanation:
The measure of angle WXY will be thee ame as the measure of the intercepted arc, 109°.
W and Y are both tangent to the circle; this means angle XWZ and angle XYZ are both 90°.
Every quadrilateral has a total measure of 360°; to find the measure of WZY, we subtract:
360-90-90-109 = 71°
The measure of angle WZY (∠WZY) is; 71°
What is the measure of the angle?From the attached image, we can say that the measure of ∠WXY will be the same as the measure of the intercepted arc, 109°.
Now, W and Y are both tangent to the circle and this means that ∠XWZ and ∠XYZ are both equal to 90°.
Now, every quadrilateral has a total internal sum of angles as 360°.
Thus, ∠WZY is gotten from;
∠WZY = 360 - (90 + 90 + 109)
∠WZY = 71°
Read more about angles in cyclic quadrilaterals at; https://brainly.com/question/24368895
Solve the quadratic equation 12x^2 - 288 = 0 using the square root method.
Answer:
C) x = ± 4
Step-by-step explanation:
12x² - 288 = 0
Add 288 on both sides. Anything plus zero gives itself.12x ² = 288
Divide both side by 12[tex] \small \sf \: x {}^{2} = \frac{288}{12} \\ [/tex]
Divide 288 by 12 to get 24[tex]\small \sf x {}^{2} = \frac{ \cancel{288 }}{ \cancel{12}} \\ [/tex]
x² = 24
Taking square root of each side and remember to use positive and negative roots[tex] \small \sf \: \sqrt{x {}^{2} } = ± \sqrt{ 24} [/tex]
[tex] \small \sf \: x_1, _2 = ± \sqrt{ 24} [/tex]
[tex] \small \sf \: x_1, _2 = ± 4.899 [/tex]
Vlad has found a magic box. If he opens it now he will only get $15. But every month the amount in the box increases by $15. If Vlad is very patient, in how many months can he get $450?
I need help ASAP
The weight gain of beef steers were measured over a 140 day test period. the average daily gains (lb/day) of 10 steers on the same diet were as follows. The tenth steer had a weight gain of 4.02 lb/day.
3.89 3.51 3.97 3.31 3.21 3.36 3.67 3.24 3.27
determine the mean and median.
Answer:
[tex]\bar x = 3.545[/tex]
[tex]Median = 3.435[/tex]
Step-by-step explanation:
Given
[tex]x:3.89, 3.51, 3.97, 3.31, 3.21, 3.36, 3.67, 3.24, 3.27[/tex]
[tex]10th: 4.02[/tex]
Solving (a): The mean
This is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{3.89 +3.51 +3.97 +3.31 +3.21 +3.36 +3.67 +3.24 +3.27+4.02}{10}[/tex]
[tex]\bar x = \frac{35.45}{10}[/tex]
[tex]\bar x = 3.545[/tex]
Solving (b): The median
First, we sort the data; as follows:
[tex]3.21, 3.24, 3.27, 3.31, 3.36, 3.51, 3.67, 3.89, 3.97, 4.02[/tex]
[tex]n = 10[/tex]
So, the median position is:
[tex]Median = \frac{n + 1}{2}th[/tex]
[tex]Median = \frac{10 + 1}{2}th[/tex]
[tex]Median = \frac{11}{2}th[/tex]
[tex]Median = 5.5th[/tex]
This means that the median is the average of the 5th and 6th item
[tex]Median = \frac{3.36 + 3.51}{2}[/tex]
[tex]Median = \frac{6.87}{2}[/tex]
[tex]Median = 3.435[/tex]
