Answer:
Step-by-step explanation:
f(x) = x² - 2x + 5
1) f(2) = (2)² - 2(2) + 5 = 5
2) f(-3) = (-3)² - 2(-3) + 5 = 20
3) f(0) = (0)² - 2(0) + 5 = 5
4) f(5) - f(-2) = (5)² - 2(5) + 5 - [(-2)² - 2(-2) + 5 = 20 - 13 = 7
5) f(1) + f(6) = (1)² - 2(1) + 5 + [(6)² - 2(6) + 5 = 4 + 29 = 33
A car is traveling at 20 miles per hour during rush hour. How far does the car travel in 1 minute and 45 seconds?
Answer: 7/12 miles
Step-by-step explanation:
20mph = 20/60 miles per minute = 1/3 miles per minute
1 min 45s = 1 min + 3/4 min = 7/4 min
1/3 x 7/4 = 7/12 miles
The distance travelled by car with the given speed and time is 7/12 miles.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Given that, a car is traveling at 20 miles per hour during rush hour.
Time =1 minute and 45 seconds
= [tex]1\frac{45}{60}=1\frac{3}{4}[/tex]
= 7/4 minutes
Now, 20 miles per minute
= 20/60 miles per minute = 1/3 miles per minute
We know that, Distance =Speed×Time
= 1/3 ×7/4
= 7/12 miles
Therefore, distance travelled by car is 7/12 miles.
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Use polynomial identities to multiply (5 - 4x3)(5 + 4x3). What identity did you use?
A. Difference of cubes identity
B. Difference of squares identity
C. Binomial Theorem
D. Square of a sum identity
[tex]\textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] ~\dotfill\\\\ (5-4x^3)(5+4x^3)\implies [(5)^2-(4x^3)^2]\implies [(5^2)-(4^2x^{3\cdot 2})] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 25-16x^6~\hfill[/tex]
which among the following
We have:
[tex]1-\frac{1}{3} >0[/tex] ; [tex]1- \frac{11}{17}>0[/tex] ; [tex]1-\frac{132}{157}>0[/tex] ⇒ right
[tex]\frac{-1}{7}, \frac{-51}{107},\frac{-347}{949} <0[/tex] ⇒ wrong
[tex]\frac{7}{5}, \frac{131}{47} ,\frac{945}{711} >1[/tex] ⇒ wrong
ANSWER: [tex]\frac{1}{3} ,\frac{11}{17} ,\frac{132}{157}[/tex]
ok done. Thank to me :>
21
4x + 5
E
חו
What is the value of x?
Answer:
don't know
Step-by-step explanation:
A2 + B2
Best answer gets a brainliest and thank and 5 star
Answer:
a+b)(a-b)
(Step-by-step explanation:
Given f(x)=9-2x, find f(10).
A.-11
B.11
C.29
D.-29
Answer:
the answer is A
Step-by-step explanation:
9-2(10) 9-20
The given function is a linear function that decreases as the value of the
input x increases.
The value of f(10), given f(x) = 9 - 2·x is option A. -11Reasons:
The given function is f(x) = 9 - 2·x
The output of the function is the value of f(x) for a given input x of the function.
The input value, x is substituted into the function to obtain the output value, f(x).
Given that the input, x = 10
We have;
f(10) = 9 - 2×10 = -11
Therefore, the correct option for f(10) is A. -11
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The kinetic energy, k, the amount of energy that a moving object has, can be found for a particular roller coaster by the radical function v equals the square root of the quantity 2 times k over the 1,000 period If the velocity, v, of the roller coaster is 10 meters per second, what is the kinetic energy?
200,000 Joules
10,000 Joules
50,000 Joules
5,000 Joules
The kinetic energy of the roller coaster is 2000Joules
Given the formula for expressing the velocity of the roller coaster is given as:
[tex]v = \sqrt{\frac{2k}{1000} }[/tex]
Given the following parameter:
v = 10m/s
Substitute the given parameter into the formula to have:
[tex]10 = \sqrt{\frac{2k}{1000} }[/tex]
Square both sides of the equation:
[tex](10)^2=(\frac{2k}{1000} )^2\\100=\frac{4k^2}{1,000,000} \\4k^2=100,000.000\\k^2=\frac{100,000,000}{4} \\k^2=4,000,000\\k=2000Joules[/tex]
Hence the kinetic energy of the roller coaster is 2000Joules
Learn more on subject of formula here: https://brainly.com/question/657646
Answer:
You need to use √2k/1000 formula.
2000 joule is the correct answer.
Need help. I don't understand this question.
Answer:
The first is 1 and the second is 28 i believe
Step-by-step explanation:
Hope this helps:)
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
G(x)=4.8x -5
I needed help finding the slope
Answer:
Slope is 4.8
Step-by-step explanation:
[tex]{ \tt{G(x) = 4.8x - 5}} \\ [/tex]
Answer: The Answer is 4.8
I NEED HELP FOR MY FINALS PLS N TY!!!
1. Compute the length of a rectangle with a perimeter 40.2 in and width of 6.7 in.
Answer:
13.4
Step-by-step explanation:
You would take the width x 2 which is 13.4. Now you subtract the combined width from 40.2. From here you are left with 26.8. Since this is a rectangle the length would be the same on both sides. You divide 26.8 by 2 and you get 13.4.
Find the slope of the line passing through the points(3,-9) and(2,-2) .
Answer:
-7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-(-9))/(2-3)
m=(-2+9)/-1
m=7/-1
m=-7
- The line AB has equation 5x – 2y = 7. The point A has coordinates (1, -1) and the point B has coordinates (3,k). (a) (i) Find the value of k. (ii) Find the gradient of AB. (b) Find an equation for the line through A which is perpendicular to AB. (c) The point C has coordinates (-6, -2). Show that AC has length pV2, stating the value of p.
Step-by-step explanation:
For finding k we'll have to plug in the x-value of the coordinate (3,k) into the equation, and solve for the y:
5(3) - 2y = 7
15 - 2y = 7
2y = 8
y = 4 => k =4
2) I assume the gradient is the slope of the line. If so, just isolate the y in the original equation and see what's the coefficient of the x:
-2y = -5x + 7
y = (5/2)x + 7/2 => the gradient is 5/2
3) the condition of perpendicularity is expressed by the following relation:
a * a' = -1
Where a is the slope of the first line and a' of the second line. We need to find a' that will be:
-1/a = -1/(5/2) = -2/5
The perpendicular line will be:
y = (-2/5)x + b
We need to find b, and we know that this line passes through A (1,-1):
-1 = (-2/5)*1 + b
b = -1+(2/5) = -3/5
The equation will be:
y = (-2/5)x - 3/5.
4) I don't know what that symbol means (pV2).
A square is a quadrilateral with four equal sides and four 90 degree angles. Is quadrilateral ABCD a square?
Answer: yes
Step-by-step explanation:
pls answer asap!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
2rr
Step-by-step explanation:
Answer:
The domain is the x-values from least to greatest, while the range is the y-values from least to greatest. For this problem, domain would be [3, 18] and range would be [-12, 15].
Step-by-step explanation:
Since we know domain is the x-values listed from smallest to largest, we can order our values that way:
(3, -1), (5, 15), (7, -1), (11, -12), (18, -6).
3<5<7<11<18
That means the range is (3, 18). However, since both 3 and eighteen are included in the set, we use brackets. [3,18], putting the smaller number first, followed by a comma, and then the bigger number.
We will do the same for the range.
(11, -12), (18, -6), (3, -1), (7, -1), (5, 15)
-12<-6<-1=-1<15
This means the range is (-12, 15). Since -12 and 15 are included in the set of values, we use brackets. [-12, 15].
An elevator company claims "for every 15 inches of cable, we can hold up to 32 pounds". Each elevator comes with a standard length of 18 inches for their cable. If an elevator has a
weight limit of 800 lbs, how many additional inches of cable were used?
375 inches of cable were used for an elevator with weight limit of 800 lbs
Let y represent the weight in pounds and x represent the inches of cable.
Since y and x are proportional:
y = kx,
k is the constant of proportionality.
15 inches of cable, we can hold up to 32 pounds. Hence:
32 = 15k
k = 2.13 pounds per inch
y = 2.13x
For a weight of 800 lbs, y= 800:
800 = 2.13x
x = 375 inches
375 inches of cable were used for an elevator with weight limit of 800 lbs
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Th stalest tree in the world is a red wood in red wood national and state parks .it is 379feet tall .how many yards is this
Answer:
126 1/3 yards
Step-by-step explanation:
1 foot = 1/3 yard
379 feet = 379/3 yard= 126 1/3 yards
What positive acute angle is
Зл/4
related to?
Answer:
[tex][tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]
[tex][tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]
[tex][tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]
[tex][tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]
2...
Solve the equations below exactly. Give your answers in radians, and find all
possible values for t in the interval 0 (less than or equal to ) t (less than or equal to) 2 pi
If there is more than one
answer, enter your solutions in a comma separated list.
(a) sin (t) = - square root of 3 divide by 2
when t=
(b) cos (t) = 1/2
when t=
Answer:
See below (along with unit circle attached)
Step-by-step explanation:
[tex]sin(t)=-\frac{\sqrt{3}}{2}[/tex]
[tex]t=\frac{4\pi}{3},\frac{5\pi}{3}[/tex]
[tex]cos(t)=\frac{1}{2}[/tex]
[tex]t=\frac{\pi}{3},\frac{5\pi}{3}[/tex]
It really helps to use the unit circle! I've attached it below for your convenience. Keep in mind that a point on the unit circle is defined by [tex](cos(\theta),sin(\theta))[/tex] where [tex]\theta[/tex] is measured in radians.
Learning Task 2 B. Perform the indicated operations. Write your solution in the box below. Add Subtract: 1. (5x4 - 3x2 + 4) + (6x3 - 4x2 - 7) 6. (5x3 - 7x2 + 3x - 4) -(873 + 2x2 32-7) 2.-7x3y + 4x2y2 - 2 and 4x3y + 1 - 8x2y2 7. (2x2y - 5xy + 3y2 -- (7xy -- 672 - 5729) 3. (5 + 24y3 - 7y2) + (-6y3 + 7y2 + 5) 8. (9x5 - 623 + 712) - (773 4. (2xs - 6x3 - 12x2 - 4) + (-11x + 8x + 2x2 + 6) 9. Subtract 4x3.5x - 8 from 672 - 3x + 8 5. (3y5 - 2y + y* + 2y3 + 5) and (238 + 3y8 + 2+ 7) 10. (1.599 + 4.8y2 + 12) - (ya - 1.742 + 2y) Solution and Answer 67 + 2x2) -
Find the equation that represents the proportional relationship in this graph, for y in terms of x.
Answer:
y = 0.4 x
Step-by-step explanation:
It cost Faith $9.10 to send 91 text messages. How many text messages did she send if she spent $17.60?
Answer:
176
Step-by-step explanation:
9.10 / 91 = 1/10
17.60 x 1/10 = 176
25. Which is a solution of the inequality y
(3,-5)
(2,-1)
(4,1)
(6,-4)
Step-by-step explanation:
B
D
A
с
2
2-1
1
2
3 4 5
2 1
2
2 4 5
A
B
2-1
1
2
B
5 4 3 2 1
1
2 3 4 5
Convert 62% into a fraction
Answer:
62% = 31 / 50
Step-by-step explanation:
62/100
if you need to simplify then it would be 31/50
A tree of unknown height casts a shadow that is 18 feet long. If a person that is 5 ft 7 in casts a shadow that is 4 ft long, then how tall is the tree in feet?
Round your answer to the nearest integer. Do not include feet in your answer.
Answer:
25.
Step-by-step explanation:
5 ft 7 in = 5.583 ft.
We have 2 similar triangles here.
If h is the height of the tree, then:
h / 5.583 = 18/4
h = 18*5.583/4
h = 25.12 ft
The height of the tree is approximately 25.12 feet.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
The ratio of the shadow lengths is equal to the ratio of the object heights.
In other words, if we let H be the height of the tree in feet and h be the height of the person in feet, we have:
H/h = 18/4
We can find h by converting the person's height to feet. Since 1 inch is equal to 1/12 foot, the person's height in feet is 5 + 7/12 = 5.58 feet.
Substituting this value into the equation above and solving for H, we get:
H = (18/4) x 5.58 feet
= 25.12 feet
Therefore, the tree is around 25.12 feet tall.
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Two companies working together can clear a parcel of land in 20 hours. Working alone, it would take Company A 2 hours longer to clear the land than it would Company B. How long would it take Company B to clear the parcel of land alone? (Round your answer to the nearest tenth.)
it's took 10 hour maybe what subject is this
A complex shape with measurements 6 inches, 5 inches, 4 inches, 3 inches, 4 inches, 2 inches, 6 inches, 10 inches. What is the perimeter of the shape?
Answer: 40
Step-by-step explanation: do 6 add 5 add 4 add 3 add 4 add 2 add 6 add 10
I Keep getting different number help plz
Answer:
x = 2
Step-by-step explanation:
(4+3x)/2 = 5
4+3x = 10
3x = 6
x = 2
Answer:
the answer is two
Step-by-step explanation:
4/2 3x/2=5
2+1.5x=5
-2. -2
1.5x=3
————
1.5. 1.5
3/1.5=2
What is mean number of strawberries collected each day Round to the nearest whole number if necessary 107,122,148,135,126,154
Answer:
132
Step-by-step explanation:
step one: add all the numbers in the data set.
107 + 122 + 148 + 135 + 126 + 154
= 792
step two: divide the sum by the how many numbers are in the data set
792/6 = 132
the mean number of strawberries collected each day is 132 strawberries.
hope this helps!<3
The area of a square pond is 1000m2.A path of uniform width is surrounded outside the pond and its area is 369m2.find the outer length of the path
Answer:
631 m²
Step-by-step explanation:
Outer length of park = Total area - Area of pond
Outer length of park = 1000 - 369
Outer length of park = 631 m²
Answer:
Hope it will help you a lot.