Using the slope of the linear function, it is found that:
The slope is of 0.5, which means that the plant grows by 0.5 inches each day.A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is by how much the output y changes when the input x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem:
x is the time in days.y is the height in inches.Two of the points are: (0,0) and (2,1).
The slope is given by change in y divided by change in x, hence:[tex]m = \frac{1 - 0}{2 - 0} = \frac{1}{2} = 0.5[/tex]
Then, applying the interpretation:
The slope is of 0.5, which means that the plant grows by 0.5 inches each day.To learn more about slopes and linear functions, you can take a look at https://brainly.com/question/16302622
Answer:
hes correct. the slope is 0.5 and it grows 0.5 inches everyday
Step-by-step explanation:
If 6 pounds of apples cost $4.80 what is the cost per 9 pounds
Answer:
Cost of 1 pound apple:4.80/6=2.4
cost of 9 pounds apple:2.4 ×9=21.6
A price was decreased by 12%. Then it was increased by an additional 5%. What is the percent of the total decrease?
Answer:
7.6%
Step-by-step explanation:
First the decrease
(100-12)%=88%
then the increase
(88)(1.05)=92.4%
The total decrease
(100-92.4)% = 7.6%
Hope this helps
PLLLZZZ NO ONE WILL HELP ME!!!
Given this equation in slope-intercept form…
y = 2x + 5
Identify or solve for the following:
Slope
y-intercept
x-intercept
Independent variable
Dependent variable
Domain
Range
We would like to represent a line passing through the point (5,0) with a slope of 2. Please write the equation for this line in slope-intercept form and in point-slope form.
What is the rate of change of the function above?
Answer:
y = m x + b standard form of straight line
y = 2 x + 5
The slope is m and = 2
the y intercept is 5 because when x = o y = 5
if y = 0 then x = -2/5 and would be the x intercept
x is the independent variable and y is the dependent variable
I am not familiar with your definitions for domain and range but
both x and y can vary from -∝ to = ∝
Solve for equation for x: 5x^2 – 10x – 6 = 0
Correct me if im wrong po
One kilometre is about 0.62 miles. It is 12 kilometres from Noah's house to the
ice skating rink. About how many miles is it from Noah's house to the ice
skating rink?
u'll get extra points if u answer guys!! pls help!!!!!
Answer:
7.44miles
Step-by-step explanation:
1km = 0.62miles
12km will be ; 0.62 × 12
= 7.44miles
How do I get the answer for exponents? Please explain step by step to get marked!
Answer:
4900
Step-by-step explanation:
70^2 means 70*70
70*70=4900
Answer:
you will do 70 times 70 because 70^2 is 70 times 70 which is 4,900.
find three solutions of 9x - 2y = 18
(i don't know why I can't type this out right the first two times)
Answer:
Some solutions of 9x−2y=18 are x=5 =−18 ; x=7 and y=19 ; x=9 and y=0 ; x=11 and y=9 and x=13 and y=18 .
Step-by-step explanation:
simplify 8+2(5-×) thanks
Answer:
=8+2(5-x)
=8+10-2x
=18-2x
Answer:
hey am
I think that's be the answer
if you think it's not right
don't write
What is the gradient?
Answer:
The gradient is negative.
Step-by-step explanation:
The gradient represents the rise/run ratio. Always read the line's path left to right, and if it goes up, then it is positive, down means negative gradient, and if it doesnt move then it 0. It is undefined if the line is vertical.
Can someone help me plssssssssss
Clara is making a pennant. She attaches a rectangle that is 1 inch wide and 6 inches long to a triangle that has a base of 6 inches and a height of 28 inches. What is the area of the
pennant?
The area of the pennant made by Clara is 90 in²
Area
Area is the amount of space taken up by a two dimensional figure. It measures the quantity of space covered by the figure.
Area of the rectangle = length * width = 6 in * 1 in = 6 in²
Area of triangle = (1/2) * base * height = (1/2) * 6 in * 28 in = 84 in²
Area of the pennant = 6 in² + 84 in² = 90 in²
The area of the pennant made by Clara is 90 in²
Find out more on Area at: https://brainly.com/question/25292087
Answer:
90in^2
Step-by-step explanation:
Area of the rectangle = length times width = 6 x1 = 6 in^2
then the Area of triangle = 1/2 base times height = (1/2) x 6 x 28= 84 in^2
and the Area of the pennant is = 6 + 84 = 90 in
Step-by-step explanation:
No clue if someone can explain
Answer:
your trying to find out how much each cookie cost
from looking at this we can see that 2 cookies is 1 dollar so each cookie is 50 cents
Hope This Helps!!!
What does this equal 2(4+5) over 3
I will give brainliest
Answer:
Its D. 36
Step-by-step explanation:
Which expression is equivalent to 440d2 - 176d?
666666666666666666766666666
Answer:
c
Step-by-step explanation:
i saw the answer sheet :)
Can someone explain how you do fractions like adding them? And what rules they have to find the answer?
Answer:
Hope this image helps you. (sorry if it's tiny writing.)
Step-by-step explanation:
the graph shows data relating sodium per serving and price per serving of different brands of peanut butter, Using this model, predict the amount of sodium in Peanut Butter that costs $.35 per serving.
A linear model that best fits the overall pattern of points is given by the
regression line of the data.
a. Please find attached the graph showing the linear model of the scatter plot created with MS Excel.b. The slope of the line is -6.2173.c. The relationship is as the price per Serving increases by 1 cent, the sodium per Serving decreases by -6.2173 mg.Reasons:
a. Points on the graph are;
(6, 218),
The slope, b, regression line equation is given by the following formula;
[tex]b = \mathbf{\dfrac{\sum \left(x_i - \overline x\right) \times \left(y_i - \overline y\right) }{\sum \left(x_i - \overline x\right )^2 }}[/tex]
The regression line equation is; [tex]\overline y = b \cdot \overline x + a[/tex]
Where;
[tex]\overline x[/tex] = 18.732
[tex]\overline y[/tex] = 187.24
[tex]\sum \left(x_i - \overline x\right) \times \left(y_i - \overline y\right)[/tex] = -4926.59
[tex]\sum \left(x_i - \overline x\right )^2[/tex] = 792.3944
Therefore;
[tex]b = \dfrac{-4926.59}{792.3944 } \approx -6.2173[/tex]
[tex]a = \overline y - b \cdot \overline x[/tex]
Which gives;
a = 187.24 - (-6.2173) × 18.732 ≈ 303.70
The equation of the line is therefore; [tex]\overline y = \mathbf{-6.2173 \cdot \overline x + 303.70}[/tex]
Using the above regression line equation, the linear model of the scatter
plot can be drawn as presented in the graph created with MS Excel.
b. The slope of the line is b = -6.2173
c. The relationship between price per serving and sodium per serving is
as follows;
When the price per serving increases by 1 cent, the sodium per serving
decreases by 6.2173 mg.
Learn more about the regression line formula here:
https://brainly.com/question/14747095
Need help I can’t fail this assignment. Answer asap!
Answer:
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes
6x + 5y = 10
5y = -6x + 10
y = (-6/5)x + 2
so a perpendicular line has slope 5/6
y = (5/6)x + b
plug in our desired point
3 = (5/6)6 + b
b = -2
y = (5/6)x - 2
I might be able to help you pass this assignment, but better learn it yourself as I cannot assure you will pass the class.
One of those "Win the battle but lose the war" type situations.
NO LINKS
A jaguar can run 40 miles per hour while a giraffe can run 32 per mile if they both run for 4 hours how much farther will the jaguar run? Show TWO ways to write the expression or equation and solve
Answer:
(40*4)-(32*4)=32
160-128=32
Step-by-step explanation:
At a certain shirt factory, 6 buttons are used on each shirt. If a box containing 120 buttons costs $7, determine the cost for the number of buttons needed for 680 shirts
Answer: $238
Step-by-step explanation:
120/6 = 20 shirts for $7
680 / 20 = 34 lots of shirts costing $7
the cost = 34 x 7 = $238
Answer:
238$
Step-by-step explanation:
680*6=4080
this is how many buttons used
4080/120=34
this is how many boxes of buttons
34*7=238
this is the amount
if a + b equal to pi by 4 then prove that 1 + cot a into 1 + cot B equal to 2 into cot a into cot b
Answer:
(cotA − 1) (cotB − 1) = 2
Step-by-step explanation:
A+B= π/4 = 180°/4 = 45°
A+B=45°
∴ cot(A+B)=cot45°
∴ cotBcotA−1 / (cotB+cotA) = 1
⇒cotB + cotA = cotBcotA = 1
⇒cotB + cotA − cotBcotA + 1 = 0
⇒cotBcotA − cotB − cotA − 1 = 0
⇒cotBcotA − cotB − cotA − 1 + 2 = 0+2
⇒cotBcotA − cotB − cotA + 1 = 2
⇒cotB(cotA − 1) (cotA − 1) = 2
⇒(cotA − 1) (cotB − 1) = 2
Proved
At Buffalo Wild Wings, you order a meal that costs $15.86. You leave an 18% tip (on the pre-tax amount).
The sales tax is 8%. What is the total cost of the meal?
Answer:
round to cent 20.59
Step-by-step explanation:
x squared+ y squared = 2 y = 2x squared – 3 Which of the following describes the system?
Answer:
[tex]x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}}[/tex] and [tex]y=-1,\frac{1}{2}[/tex]
The ordered pair solutions are [tex](-\sqrt{\frac{7}{4}},0.5)[/tex], [tex](\sqrt{\frac{7}{4}},0.5)[/tex], [tex](-1,-1)[/tex], and [tex](1,-1)[/tex].
Step-by-step explanation:
I'm assuming the system is [tex]\left \{ {x^2+y^2=2} \atop {y=2x^2-3}} \right.[/tex]:
[tex]x^2+y^2=2[/tex]
[tex]x^2+(2x^2-3)^2=2[/tex]
[tex]x^2+(4x^4-12x^2+9)=2[/tex]
[tex]x^2+4x^4-12x^2+9=2[/tex]
[tex]4x^4-11x^2+9=2[/tex]
[tex]4x^4-11x^2+7=0[/tex]
[tex]x^4-11x^2+28=0[/tex]
[tex](x^2-7)(x^2-4)=0[/tex]
[tex](4x^2-7)(x^2-1)=0[/tex]
[tex]4x^2-7=0[/tex]
[tex]4x^2=7[/tex]
[tex]x^2=\frac{7}{4}[/tex]
[tex]x=\pm\sqrt{\frac{7}{4}}[/tex]
[tex]x^2-1=0[/tex]
[tex]x^2=1[/tex]
[tex]x=\pm1[/tex]
[tex]y=2x^2-3[/tex]
[tex]y=2(\pm\sqrt{\frac{7}{4}})^2-3[/tex]
[tex]y=2({\frac{7}{4}})-3[/tex]
[tex]y=\frac{7}{2}-3[/tex]
[tex]y=\frac{1}{2}[/tex]
[tex]y=2x^2-3[/tex]
[tex]y=2(\pm1)^2-3[/tex]
[tex]y=2(1)-3[/tex]
[tex]y=2-3[/tex]
[tex]y=-1[/tex]
Therefore, [tex]x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}}[/tex] and [tex]y=-1,\frac{1}{2}[/tex]
The ordered pair solutions are [tex](-\sqrt{\frac{7}{4}},0.5)[/tex], [tex](\sqrt{\frac{7}{4}},0.5)[/tex], [tex](-1,-1)[/tex], and [tex](1,-1)[/tex].
The pool at "Splash Around" is open for 14 weeks during the summer. You can swim for $6 a session, or you can buy membership for
$100 and pay only $4 a session. Which equation would you use to determine how many sessions you must use the pool to justify
buying the membership?
Answer:
Step-by-step explanation:
if x is the number of times you go swimming
100 + 4x < 6x
Out of an 98 day season
If you attend 50 days, the cost is $300 either with or without the membership
Less than 50 days, it's less expensive to just pay the daily rate.
More than 50 days, it's less expensive to have the membership.
A house costs 36% more today than when it was built.If the cost of the house today is $333,200, find the cost when it was built.
Answer:
$245,000
Step-by-step explanation:
Let the intial cost = x
[tex]100\% + 36\% = 136\% = 1.36[/tex]
[tex]1.36x = 333200[/tex]
[tex]x = \frac{333200}{1.36} [/tex]
[tex]x = 245000[/tex]
What is the percent decrease from 95 to 68 round to the nearest percent
The decrease is (95-68) = 27 .
As a fraction, the decrease is 27/95 of the original amount.
To change any fraction to a decimal, do the division:
(27) divided by (95) = 0.2842...
To change any decimal to a percentage, move the
decimal point two places that ==> way:
0.2842... = 28.42... %Answer:
Step-by-step explanation:
[tex]\qquad[/tex]☀️ At first we need to find out the difference between 95 and 68.
[tex]\qquad[/tex][tex] \sf \longrightarrow 68 -95 \\[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow -27[/tex]
[tex]\qquad[/tex]☀️ Now, divide the number by "the starting number.
[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{-27 }{97}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow -0.2842[/tex]
[tex]\qquad[/tex]☀️ And finally, we have to multiply the result by 100 to get it in terms of percent.
[tex]\qquad[/tex][tex] \sf \longrightarrow -0.2842 \times 100[/tex]
[tex]\qquad[/tex][tex] \red{\bf \longrightarrow -28.42℅}[/tex]
Hence, The answer will be -28.42℅[tex]\qquad[/tex]_________________________
What is 2(n+7)+3n simplified and written in factored form?
Multiple choice question.
A)
5n+9
B)
5n+14
C)
3(2n+3)
D)
2(3n+7)
Answer:
B)
Step-by-step explanation:
2(n+7)+3n
now you multiply 2 though
2n+14+3n
Add common factors
5n+14
__________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
Kevin and Randy Muise have a jar containing 80 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $11.80. How many of each type of coin do they have?
Answer:
39 quarters and 41 nickelsStep-by-step explanation:
Let the number of quarters be x and nickels be y.
Given:
Quarter is 25 centsNickel is 5 centsNumber of coins is 80Total amount is $11.80 = 1180 centsWe have equations:
x + y = 8025x + 5y = 1180Solve the system by elimination, subtract 5 times the first equation from the second one:
25x + 5y - 5x - 5y = 1180 - 80*520x = 780x = 780/20x = 39Find the value of y:
39 + y = 80y = 80 - 39y = 41Verify:
25*39 + 5*41 = 975 + 205 = 1180
PLEASE HELP FAILING ...A random variable x has a mean of 22 and a standard deviation of 3.1. Random samples of size 40 are drawn, and the sample mean calculated each time. What is the probability that, for a given sample, is 21?
The sample sizes are quite large, so the central limit theorem applies. (It typically does as soon as the sample size exceeds 30 or so.) This means that the sample mean will be approximately normally distributed with the same mean 22 but standard deviation 3.1/√40 ≈ 0.4902.
Now, if the question is asking about the probability of the sample mean being an exact number, that probability would be zero.
But if you meant to ask something else, like "what is the probability that the sample mean is less than 21?" then we would have a non-zero probability. In this particular case, if Y is a random variable for the sample mean, then
Pr[Y < 21] = Pr[(Y - 22)/(3.1/√40) < (21 - 22)/(3.1/√40)]
… ≈ Pr[Z < -2.0402]
… ≈ 0.0207
Find the sum. 2/5(d-10)-2/3(d+6)
Answer:
-4d
Step-by-step explanation:
L.c.m=15
15×2/5(d-10)-2/3×15(d+6)
3×2(d-10)-2×5(d+6)
6(d-10)-10(d+6)
6d-60-10d-60
6d-10d-60-60
-4d-0
-4d