Answer:
Step-by-step explanation:
2 units squared.
Explanation:
You can go about this in two ways: Algebra and Integrals.
Algebra
y = 2x-6 is linear, thus if we take the value over the x interval [2,4] we can use geometry to calculate the area.
graph{2x-6 [-2.27, 7.73, -2.18, 2.82]}
You can see two triangles in the graph (you could also find this algebraically). Thus, you can calculate the area.
=
2
⋅
(
1
2
⋅
b
⋅
h
)
=
2
⋅
(
1
2
⋅
1
⋅
2
)
=
2
square units
Integrals
An integral gives the area under the curve. Remember though that if a function goes below the X axis, the integral is negative Thus you have to do two separate integrals based on the X intercept.
finding the X intercept (that is where y = 0)
2
x
−
6
=
0
x
=
3
when
y
=
0
When
x
<
3
, then y is negative. Thus, we have to find the negative integral from 2 to 3 and the positive integral from 3 to 4
=
−
∫
3
2
2
x
−
6
d
x
+
∫
4
3
2
x
−
6
d
x
=
−
[
x
2
−
6
x
]
3
2
+
[
x
2
−
6
x
]
4
3
=
−
[
9
−
18
−
4
+
12
]
+
[
16
−
24
−
9
+
18
]
=
−
[
−
1
]
+
[
1
]
=
2
units squared. And Tada, that is the same as the other answer!
Using integrals, it is found that the area of the function is of 6 squared units.
The area of a function f(x) over an interval [a,b] is given by:
[tex]A = \int_{a}^{b} f(x) dx[/tex]
In this problem:
Interval (-4, 2), thus [tex]a = -4, b = 2[/tex].Function [tex]f(x) = 2x + 3[/tex], thus:[tex]A = \int_{-4}^{2} 2x + 3 dx[/tex]
[tex]A = x^2 + 3x|_{x = -4}^{x = 2}[/tex]
[tex]A = 2^2 + 3(2) - [(-4)^2 + 3(-4)][/tex]
[tex]A = 4 + 6 - 4[/tex]
[tex]A = 6[/tex]
The area is of 6 squared units.
A similar problem is given at https://brainly.com/question/20733870
What is the function as to how it’s graph is related to the parent function f(x)=3squared
Given the lease terms below, what is the total price of this car if you buy it
after leasing, and you do not get the security deposit back?
Terms:
• Length of lease: 24 months
• MSRP of the car: $21,400
• Purchase value of the car after lease: $17,100
• Down payment: $1500
• Monthly payment: $279
• Security deposit: $350
Acquisition fee: $700
Answer:
I believe the answer is 12,342 try it out and let me know:)
Step-by-step explanation:
f(x)=4x+2;g(x)=2x ; find f(g(4))
Answer:
f(g(4))=34
Step-by-step explanation:
g(x)=2x
g(4)=2(4)
=8
f(x)=4x+2
f(8)=4(8)+2
=32+2
=34
f(g(4))=34
A train moving at 40km/h applies brakes so that there is a constant 0.5m/s².find the time taken before the train stops.
Answer:
t = 22.22 s
Step-by-step explanation:
Given that,
The initial speed of the train, u = 40 km/h
Acceleration of the train, a = 0.5 m/s²
Finally, it stops, v = 0
We need to find the time taken by it to stop. using first equation of motion to find it such that,
[tex]v=u+at\\\\t=\dfrac{v-u}{a}\\\\t=\dfrac{0-40\times \dfrac{5}{18}}{-0.5}\\\\t=22.22\ s[/tex]
So, it will take 22.22 seconds to stop.
Find the total area of the polygon shape shown below. All measurements are given in inches. Enter only the number. The total area is blank square inches.
The total area is 45 square inches.
Area of Compound ShapesThis question requires your knowledge about the area of compound shapes. For solving this, you should:
Identify the basic shapes;Calculate your individual areas; Sum each area found. STEP 1 - Identify the basic shapes.The figure is composed of:
two squares whose sides are equal to 3 in. 1 rectangle whose sides are: 9 in and 3 inTherefore, you should sum the area of these geometric figures for determining the given area.
STEP 2 - Find the area of the squares.Area of each square = a², where a=the length of the side.
Like, the length of the side is equal to 3 in, the area will be:
A_square= 3²=9 in².
You have two squares in the figure. Then, the total area for the squares is 9 + 9 =18 in²
STEP 3 - Find the area of the rectangle.
Area of the rectangle = bh . The figure shows that: the base = 9 in and the 3=8 in
Thus, A_rectangle=bh= 9*3=27in²
STEP 4 - Find an expression for the total area of the figure.
A_total= A_squares+ A_rectangle
A_total= 18+27=45 in²
A_total= 45in²
Learn more about the area of compound shapes here:
brainly.com/question/15884960
#SPJ1
Joy has an evenly divided spinner with one of the letters A through E in each section. She also has a number cube with one of the numbers 1 through 6 on each side
E AA
D B
What is the probability of rolling a 5 and spinning a B?
11
30
1
11
5
6
1
30
Answer: 1/30
Step-by-step explanation:
hhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllllllllllpppppppppppppppp please this the last question so I could get a b
Answer:
What is your question so I can answer it directly okay
what is equivalent to 5:2
Answer:
2.5:1 or 2.5
Step-by-step explanation:
5/2 ÷ 2 would give you 2.5/1 or 2.5
For which set of data is the mode the BEST measure of central tendency?
A) 3, 11, 20, 14, 20
B) 10, 13, 10, 25, 16
C) 12, 10, 13, 25, 12
D) 14, 10, 12, 14, 3
Answer: C
Step-by-step explanation:
i took the quiz
67,124 x three fourths = ________. Will the product of this equation be less than or greater than 67,124? Explain your reasoning.
diameter 32 inches what is the raidus
A sports marketing company is interested in how many hours teenagers in a town spend watching sports. They randomly select 40 teenagers in this town and ask how many hours per week they spend watching sports. The mean amount is 6.25 hours with a standard deviation of 4.33 hours. Which of the following is the 90% confidence interval for the true mean amount of time teenagers from this town watch sports?
Find the t-table here.
(4.396, 8.104)
(4.865, 7.635)
(5.097, 7.404)
(5.245, 7.256)
Answer:
(5.097, 7.404)
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 40 - 1 = 39
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.6849
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.6849\frac{4.33}{\sqrt{40}} = 1.154[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 6.25 - 1.154 = 5.096 hours
The upper end of the interval is the sample mean added to M. So it is 6.25 + 1.154 = 7.404 hours.
The answer is (5.097, 7.404)
Which of these is a finite population?
Select one:
a. The number of salads served at McDonalds.
b. The number of grains of sand in a 10 lb bag of sandbox sand.
c. The number of light bulbs produced one day in a factory
d. The number of seeds inside the tomatoes produced in a nursery.
pls help giving brainless. no link!!!!
Answer:
5
Step-by-step explanation:
Count it up 1 on the bottom 4 on the sides
Give me Brainllest
Answer:
5
Step-by-step explanation:
It looks confusing, but if you really pay attention it is a triangular prism
D
9
CD = [?]
A 3 B 3 C
Enter the number that belongs in
the green box.
Enter
Answer:
hi
Step-by-step explanation:
i think it is probably 9
hope it helps
The rare tweety-birds are decreasing at a rate proportional to the
amount present. On January 1st there are 10,000 tweety-birds.
Fifteen days later, there are only 9,000.
(Problem la, 3 points)
Write a formula for the total amount of birds.
Someone out here know the answer?
Answer:
k = -5
Step-by-step explanation:
f(9) = 2/3*9 +k
f(9) = 6+k
k = -5
Rico plots point K at (Negative 2 and one-half, 4 and one-half). Which graph shows the location of point K?
On a coordinate plane, point K is 2.5 units to the right and 4.5 units down.
On a coordinate plane, point K is 2 units to the right and 4 units up.
On a coordinate plane, point K is 2.5 units to the left and 4.5 units up.
On a coordinate plane, point K is 2.5 units to the right and 4.5 units up.
Mark this and return
Answer:
The 3rd answer on the graph
Step-by-step explanation:
On EDGE 2021
Answer:
c
Step-by-step explanation:
the answer would be c
Find the missing the terms of the arithmetic sequence
Answer:
1.7
Step-by-step explanation:
2.3, 3.1, 1.9, 1.7, 1.5 (-0.2)
help me dont put link when answering question
Answer:
b
Step-by-step explanation:
Somebody please help me!!!
Katie uses the equation y = 30x + 70 to model the data.what is the meaning of the slope of the linear model
Answer:
Step-by-step explanation:
Compare using benchmark fractions or 1. Then choose Yes or No to tell if the comparison is correct.
1/3 > 1/6 Choose... (Yes or No)
4/3 > 8/6 Choose... (Yes or No)
6/5 > 5/6 Choose... (Yes or No)
3/8 < 1/4 Choose... (Yes or No)
Please answer the question quickly if the answer is known.
Thank you!
The comparison of the above fractions are correctly listed below:
1/3 > 1/6 = yes
4/3 > 8/6= No
6/5 > 5/6 = Yes
3/8 < 1/4 = No
What is a fractionA fraction is defined as the part of a whole value which is represented as a numerator and a denominator form.
1/3 is greater than 1/6 because 1/3 = 0.3 which is greater than 1/6 = 0.2
4/3 is not greater than 8/6 because 4/3 = 1.3 which is equivalent to 8/6 = 1.3.
6/5 is greater than 5/6 because 6/5 = 1.2 which is greater than 5/6 = 0.8
3/8 is not less than 1/4 because 3/8 = 0.4 which is greater than 1/4 = 0.3.
Learn more about fraction here:
https://brainly.com/question/28699958
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Write an expression showing a÷(b+2) as a fraction?
Find the derivative of f(x) = -12x2 + 9x at x = 6.
a) -112.5
b)-135
c)90
d)108
hi
f(x) = -12x²+9x
So
f'(x) = -24x +9
if x = 6 then f'(6) = -24 (6) +9 = -135
For soccer season, Cameron wants to buy a new soccer ball, a pair of shorts, and a pair of soccer shoes. The ball costs $4.95, the shorts cost $9.10, and the shoes cost $5.50. Cameron has $2.30. How much more money does Cameron need?
Add the three items he wants to buy:
4.95 + 9.10 + 5.50 = 19.55
Subtract how much he has already:
19.55 - 2.30 = 17.25
He needs $17.25 more
please answer thanks
Answer:
10
Step-by-step explanation:
it's kinda hard to explain
Fin i the slope of a line joining
the
points (4,5)and(7,8)
Answer: The slope of a line joining the points (4,5) and (7,8) is 3/3, or 1.
Step-by-step explanation:
Please see the answer above, hope this helped. :)
Does anyone know what the answer please??
Answer:
x=4
Step-by-step explanation:
im pretty sure you make the equation equal to eachother so its 9x+4=5x+20
combine like terms
4x=16
x=1/4
In Joe's fish tank, there are 5 goldfish and 9 snails. How does the ratio 9:14 describe Joe's fish tank?
The ratio 9:14 compares the number of goldfish to the total number of animals.
B.
The ratio 9:14 compares the number of goldfish to the number of snails.
C.
The ratio 9:14 compares the number of snails to the total number of animals.
D.
The ratio 9:14 compares the number of snails to the number of goldfish