Given:
The Benjamin's distance from City A, t hours after leaving his house is
[tex]D=260-65t[/tex]
To find:
The slope of the equation and what is its interpretation in the context of the problem?
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m (coefficient of variable x) is slope and b is y-intercept.
We have, the equation
[tex]D=260-65t[/tex]
It is a linear equation and the coefficient of variable t is -65. So, the slope of the equation -65.
It means, the Benjamin's distance from City A is decreases at the rate of 65 units per hour or we can say the speed of Benjamin is 65 units per hour.
Therefore, slope of the equation -65. It means, Benjamin's distance from City A is decreases at the rate of 65 units per hour.
Answer:
The slope of the function is -65 which reveals the average speed that Benjamin travels, in miles per hour.
Step-by-step explanation:
The slope shows how much the distance to City A decreases each hour, implying that Benjamin is driving an average speed of 65 miles per hour.
Have a good day :)
I WILL GIVE BRAINLIEST TO RIGHT ANSWER
write an equation of the line in a slope intercept form has a slope of -1/2 and passes through the point (2, 3)
Answer:
y = -¹/₂ x + 4Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = -¹/₂
(2, 3) ⇒ x₀ = 2, y₀ = 3
The point-slope form of the equation:
y - 3 = -¹/₂ (x - 2)
So:
y - 3 = -¹/₂ x + 1 {add 3 to both sides}
y = -¹/₂ x + 4 ← the slope-intercept form of the equation
an = 3.5 +2.8 (n-1)
f(n) =
Answer:
f(n) = 2.8n + 0.7
Step-by-step explanation:
The form of the linear function is f(x) = m x + b, where
x is the inputf(x) is the outputLet us solve the question
∵ The rule of the arithmetic sequence is a[tex]_{n}[/tex] = 3.5 + 2.8(n - 1), where
a[tex]_{n}[/tex] is the nth term ⇒ outputn is the number of the term ⇒ input→ To write it as a function replace a[tex]_{n}[/tex] by f(n)
∵ a[tex]_{n}[/tex] = f(n)
∴ f(n) = 3.5 + 2.8(n - 1)
→ Simplify the right side to make it in the form of the function above
∵ f(n) = 3.5 + 2.8(n) + 2.8(-1)
→ Remember (+)(-) = (-)
∴ f(n) = 3.5 + 2.8n - 2.8
→ Add the like terms in the right side
∵ f(n) = 2.8n + (3.5 - 2.8)
∴ f(n) = 2.8n + 0.7
5.7 ft
1.8 ft
2.9 ft
Estimate the volume
A)
11 ft3
B)
12 743
30 ft
D
36ft3
Answer:
30ft
Step-by-step explanation:
Don't worry I just know
A bag of chips costs $3.79 including tax. Mr. Connor wants to purchase chips for his class and has a $15 budget. Write an inequality to solve for the number of bags of chips Mr. Connor can purchase with his budget. (2 points)
please help me will give brainliest
question 10n
Answer:
Yes.
Step-by-step explanation:
A fourth degree function is defined as a function with a multiplicity of four. This can be done with any number distinct roots less than or equal to four. If the three distinct roots given must be the only roots, we can choose any of the roots to square and make the function a fourth degree polynomial. Otherwise, we can add another root to make a fourth degree polynomial. Either way, it's possible.
Find the scale factor
Answer:
X = 10 or scale factor is 2.5
Step-by-step explanation:
first look at the scale factor going from 4 to 10, to get from 4 to 10 you would need to multiply 4 by 2.5. Since this problem doesnt give us the smaller scale factor first we need to divide 25 by 2.5 which equals 10.
Which calculation will ALWAYS give a result greater than 1? 89 × a number less than 1 7 × a number less than 1 125 − a fraction less than 25 37 + a fraction less than 12
Answer:
The answer is "Option C".
Step-by-step explanation:
Please find the correct question in the attached file.
[tex]\to 1 \frac{2}{5} = \frac{7}{5} \\\\let \\ \to \frac{7}{5} =1.4\\\\\to \frac{2}{5}= 0.4\\\\\to 1.4- 0.4\\\\ \to 1\\[/tex]
Its outcome is 1.4 if we subtract from 0.4. However, a fraction of less than 2/5 may be deducted. This means that the outcome still exceeds 1, that's why choice C is correct.
Hello answer this I didn't study lol
HELP !!!.
I need help with these questions( see image).
Please show workings.
9514 1404 393
Answer:
a) 7b) -27c) 18d) 8e) 2f) 1Step-by-step explanation:
The limit of any polynomial function at a point is the value of the polynomial at that point. A polynomial is defined and continuous for all values of the independent variable.
The limit of a rational function at a "hole" is the value of the simplified function at that point.
1a) lim = 4+3+2-2 = 7
1b) lim = (3)(-3)(3) = -27
1c) lim = 3^2+9 = 18
1d) lim = (x+4) = 4+4 = 8
1e) lim = 3x+1 = 3(1/3) +1 = 2
1f) lim = x^2/x^2 = 1
_____
The expressions of (e) and (f) can be simplified by factoring the difference of squares: a^2 -b^2 = (a -b)(a +b). In each case, one of the factors cancels the one in the denominator, so the remaining function can be evaluated at the limit point.
As x approaches infinity, the only terms of a rational expression that matter are those of the highest degree in numerator and denominator. (There's a little more to it if the numerator has a higher degree than the denominator.)
Help please!!!!!!!!!!!
Answer:
300 cubic Inches
Step-by-step explanation:
Since idendtiacls we really only need to solve one of them
so to find a volume of a triangular prism
I’d just find the base and multiply but the lenght or height
SO in this case the base is 6*5/2 so 15
Now there 10 of those 15 in bases
SO multiply to find total
10*15=150
Now 150*2 becuase the bottome one is basically the same so that’d give you 300
Find the slope of the graph
in the graph below point a represents owens house. Help me pleaseeeee
Answer:
I believe david lives 34 units away from the school. I cannot see Owen's house. It may be cut off.
Step-by-step explanation:
Answer:
Step-by-step explanation: 25.5
The width of a rectangular frame is 8 inches and the diagonal length of the frame is 17 inches. What is the length of the frame in inches?
Please help! ASAP Its about fractions from the picture below there is some instructions!
Answer:2/10, 3/15, 4/20,
Step-by-step explanation:
Answer:
2/10,3/15,4/20
Step-by-step explanation:
i hope it was helpful
Austin swam 1.4 laps each minute. Ashley is Austin's older sister. She trains in the same pool and can swim 9 laps in 6 minutes. Is Ashley a faster swimmer than Austin? Question - how can you use the unit rate in minutes per lap to compare Ashley's speed to Austin?
Answer: Asley is faster than Austin.
Step-by-step explanation:
Given: Austin swam 1.4 laps each minute.
Asley's sister can swim 9 laps in 6 minutes.
i.e. the number of laps she can swim in each minute = [tex]\dfrac96 = 1.5[/tex]
1.5 > 1.4, i.e. Asley swim more laps than Austin in a minute.
Hence, Asley is faster than Austin.
In mintues per lap, speed of Austin = [tex]\dfrac1{1.4}=0.71\text{ minute per lap}[/tex]
Speed of Ashley = [tex]\dfrac{6}{9}=0.67\text{ minute per lap}[/tex]
Ashley took lesser time then austin per lap.
Hence, Ashley is faster than Austin.
an ice sculture measures 52 inches and melts continuously by 3% per minute. find the height of a sculpture after 15 minutes
Answer:
28.6 inches
Step-by-step explanation:
3 percent of 52 is 1.56 so it is melting at a rate of 1.56 inches per minute
15x1.56 is 23.4
52-23.4=28.6 so after 15 minutes the sculpture will be only 28.6 inches tall
can someone help me pls?
1=3
2=6
3=9
11=?
3=9
11=x
x=9*11/3
x=33
help me understand please will mark brainliest
Answer:
2 (l+b)= 70
2(l+13)=70
2l+26=70
2l= 44
l=22
Step-by-step explanation:
Hope this helps!!!
Why do I keep struggling in geometry. I'm in 10th grade I shouldn't be struggling but anyway my teacher let me retake a quiz/ test and I made the exact same score. So I have no clue what to do.
Step-by-step explanation:
I don't know what you need to do. Have you studied the quiz or more specific have you studied the questions that you have problems with? Also make sure you have enough sleep and have healthy food. You don't have to do read what I say(type) but it could help you.
Answer:
yeah, Geometry is not that easy. I struggled a bit in Geometry, too. You have to study a lot. Im an Algebra person im good with equations. Geometry has to many rules and theorems and other stuff you need to remember. Try studying. If you Need help you can comment for help and i will try to help you with what i can. Im in 10th grade but i have Algebra 2. Also, i have a Geometry book with other stuff, etc... I'll be glad to help you if i can.
Step-by-step explanation:
OMG HELP ME PLSSSSSS!!!
7th grade, 25 points plus brainliest to the correct answer, no point theives please, the question is in the picture.
Answer:
I don't see any attachement or a picture or anything
Step-by-step explanation:
The answer is D
Solve the system by graphing.
y=-3x + 3
y= 1/2x-4
Answer:
y=58°
Step-by-step explanation:
calculator
need help please!!!!
Answer:
correct and incorect
Step-by-step explanation:
(05.05) Which of the following inequalities matches the graph? (1 point)
Answer: Choice C. [tex]y \ge -1[/tex]
==========================================================
Explanation:
The boundary line is a solid line and it's horizontal. Every point on the boundary line has y coordinate -1. So y = -1 is the equation of the boundary line. We can write it as y = 0x-1.
The shading is above the boundary line, so the inequality is [tex]y \ge -1[/tex]
Any point (x,y) in the shaded region has y coordinate that is y = -1 or greater.
For example, the point (0,2) in the shaded region has y coordinate y = 2, and it satisfies the inequality [tex]y \ge -1[/tex] because [tex]2 \ge -1[/tex] is a true statement.
Note: the boundary line is solid, so any point on the boundary line is part of the shaded solution set. This is due to the "or equal to" as part of the inequality sign.
pls help with thisss
Answer:
i will help plz put the question here copy it so i can help u
Step-by-step explanation:
estimate and find the quotion in 281 divided by 9
Determine the range of the following graph:
Answer:
-9≤y≤0
Step-by-step explanation:
-4≤x≤4 DOMAIN
-9≤y≤0 RANGE
I'm pretty sure this is correct but I haven't done it in a while
Which of the following is a geometric series? 0.1 + 0.3 + 0.5 + 0.7 1 + 3 + 9 + 27 19 + 17 + 15 + 13 0.4 + 0.9 + 1.5 + 2.2
The series 1 + 3 + 9 + 27 is a geometric series because the common ratio is 3 option second is correct.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
As we know, the geometric series has a common ratio:
If a, b, c, d, e.....
is in the GP then,
b/a = c/b = d/c = and so on
We have a series:
0.1 + 0.3 + 0.5 + 0.7
0.3/0.1 ≠ 0.5/0.3
The above sequence is not a geometric series.
1 + 3 + 9 + 27
3/1 = 9/3 = 3
The above sequence is a geometric series.
19 + 17 + 15 + 13
17/19 ≠ 15/17
The above sequence is not a geometric series.
0.4 + 0.9 + 1.5 + 2.2
0.9/0.4 ≠ 1.5/0.9
The above sequence is not a geometric series.
Thus, the series 1 + 3 + 9 + 27 is a geometric series because the common ratio is 3 option second is correct.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ2
What is the equation for line e?
Answer:
C
Step-by-step explanation:
C: x + y = -4
Answer:
C. x+y=-4
Step-by-step explanation:
In slope intercept form y=mx+b it would be y=-1x-4 which is the equation of the line
Pls help⚠️
The perimeter of a rectangle is 560 feet. Let X represent the width of the rectangle. Write a quadratic function for the area A of the rectangle in terms of its width.
9514 1404 393
Answer:
A(x) = x(280 -x)
Step-by-step explanation:
The perimeter is given by the formula ...
P = 2(L +W)
Using the given values, we can solve for the length of the rectangle:
560 = 2(L +x)
280 = L +x
280 -x = L
The area is the product of length and width, so the area is ...
A = LW
A(x) = (280 -x)x