Step-by-step explanation:
[tex]f(x) = 4 {x}^{2} + 5 + {2}^{x} [/tex]
To find f(-4) replace every x in f(x) by - 4
That's
[tex]f( - 4) = 4( { - 4})^{2} + 5 + {2}^{ - 4} \\ \\ = 4(16) + 5 + \frac{1}{16} \\ \\ = 64 + 5 + \frac{1}{16} \\ \\ = 69 + \frac{1}{16} \\ \\ = \frac{1105}{16} \\ \\ = 69 \ \frac{1}{16} [/tex]
Hope this helps you
ABCD is a parallelogram.
Given that,
DC = CE
prove that,
area of the ADE triangle is equal to the area of the parallelogram.
need explanation
plzz help!!
will give the brainliest!!
Drop a perpendicular from [tex]\overline{AK}[/tex] to $\overline {DE}$.
Let $l(AK)=h$ and $l(AB)=l(DC)=L$
$h$ is the height of the parallelogram and the triangle.
$L$ is the length of the base of the triangle and one of the sides of parallelogram.
We have area of parallelogram $=A_{para}=hL$
And the area of triangle is:
$A_{tria}=\frac{1}{2} h\times (L+L)=hL$
Thus we can see that they are equal.
Answer:
See below
Step-by-step explanation:
Given:
ABCD is a parallelogram
DC = CE
To Prove:
area of the ADE triangle is equal to the area of the parallelogram.
Proof:
Let The Point between B and C be F
To prove that area of the ADE triangle is equal to the area of the parallelogram, we'll first prove that ΔADF ≅ ΔECF
Statements | Reason
DC ≅ CE | Given
But, CD ≅ AB | Opposite sides of a ║gm
So, CE ≅ AB | Transitive Property of Equality
∵ ΔABF ↔ ΔECF |
CE ≅ AB | Already Proved
∠CFE ≅ ∠ BFE | Vertical Angles
∠ECF ≅ ∠ABF | Alternate Angles
So, ΔABF ≅ ΔECF | S.A.A. Postulate
Now, |
Area of ║gm = Area of |
quad ADCF + ΔABF |
But, ΔABF ≅ ΔECF | Already Proved
So, |
Area of ║gm = Area of |
quad ABCF + ΔECF |
But Area of ΔADE = Area of |
quad ABCF + ΔECF |
So, |
Area of ║gm = Area of ΔADE | Hence Proved
NEED HELP ASAPPP!!! Drag each scenario to show whether the final result will be greater than the original
value, less than the original value, or the same as the original value.
1. A $30 increase followed by a $30 decrease
2. A 20% decrease followed by a 40% increase
3. A 100% increase followed by a 50% decrease
4. A 75% increase followed by a 33% decrease
5. 55% decrease followed by a 25% increase
Answer:
Greater than the original = 2, 4
Less than the original = 5
Same as the original = 1, 3
Step-by-step explanation:
Let the original value be x.
1. A $30 increase followed by a $30 decrease.
New value [tex]=x+30-30=x[/tex], it is same as original value.
2. A 20% decrease followed by a 40% increase.
Afer 20% decrease.
New value [tex]=x-\dfrac{20}{100}x=x-0.2x=0.8x[/tex]
Afer 40% increase.
New value [tex]=0.8x+\dfrac{40}{100}(0.8x)=0.8x+0.32x=1.12x[/tex], it is greater than original value.
Similarly check the other values.
3. A 100% increase followed by a 50% decrease.
New value [tex]=x+\dfrac{100}{100}x-\dfrac{50}{100}(x+x)=x[/tex], it is same as original value.
4. A 75% increase followed by a 33% decrease
New value [tex]=x+\dfrac{75}{100}x-\dfrac{33}{100}(x+0.75x)=1.1725x[/tex], it is greater than the original value.
5. 55% decrease followed by a 25% increase
New value [tex]=x-\dfrac{55}{100}x+\dfrac{25}{100}(x-0.55x)=0.5625x[/tex], it is less than the original value.
Therefore, Greater than the original = 2, 4, Less than the original = 5, Same as the original = 1, 3 .
A 100% increase followed by a 50% decrease
A $30 increase followed by a $30 decrease
Less Than The Original:55% decrease followed by a 25% increase
Greater Than The Original:A 20% decrease followed by a 40% increase
A 75% increase followed by a 33 1/3% decrease
At a grocery store, bulk almonds sell for $3.80 per pound. The cost, y, in dollars, of x pounds of almonds is shown in the table. x (pounds) y ($) 0.5 1.90 1 3.80 1.5 5.70 2 7.60 Select the correct answer from each drop-down menu. The relation described in the table is . The domain of the relation is . The range of the relation is
Answer:
Step-by-step explanation:
The relation describe in the table Continuous .
The domain of the relation is X- values greater than or equal to 0 .
The range of the. Relation is Y- values greater than or equal to 0
Answer:
The relation described in the table is continuous
The domain of the relation is x-values greater than or equal to 0
The range of the relation is y-values greater than or equal to 0
Step-by-step explanation:
Any number of pounds of almonds can be purchased, including partial amounts, so the relation described in the table is continuous.
Because x can be any positive number of pounds, the domain of the relation is x ≥ 0, or x-values greater than or equal to 0.
Because y can be any positive dollar amount, the range of the relation is y ≥ 0, or y-values greater than or equal to 0.
The snail moved 6 inches in 120 minutes. What was the average speed of the snail in inches per minute?
Answer:
Option A) Speed = 1/20 of an inch per minute
Step-by-step explanation:
Given:
Distance = 6 inches
Time = 120 mins
Required:
Average Speed = ?
Formula:
Average Speed = Total Distance Covered / Total Time Taken
Solution:
Speed = 6/120
Speed = 1/20 of an inch per minute
Answer:
[tex]\frac{1}{20}[/tex] of an Inch per minute
Step-by-step explanation:
Speed = Distance ÷ Time
So....
6 ÷ 120 = 0.05 or [tex]\frac{1}{20}[/tex]
Also by process of elimination
[tex]\frac{1}{2}[/tex] of an inch per min would complete 6 inches in 12 min.
2 inches per min would complete 6 inches in 3 min
20 inches per minute would complete 6 inches in a few seconds.
Points E, F, and D are on circle C, and angle G
measures 60°. The measure of arc EF equals the
measure of arc FD.
Which statements about the arcs and angles are
true? Select three options,
O ZEFD - ZEGD
E
O ZEGD ZECD
ED FD
С
G60°
mEF = 60
OmFD = 120
Mark this and return
Save and Exit
Next
Submit
Answer:
The correct statements are:
1: mEFD = mEGD
3: mED = mFD
5: mFD = 120°
Step-by-step explanation:
Let's analyse each statement:
1: mEFD = mEGD
Let's find the value of the angle ECD, using the sum of the internal angles of a quadrilateral:
[tex]60 + 90 + 90 + mECD = 360[/tex]
[tex]mECD = 120\°[/tex]
The angle ECD is a central angle, related to the arc ED, so the arc ED also has 120°.
The angle EFD inscribes the arc ED, so we have:
[tex]mEFD = mED/2[/tex]
[tex]mEFD = 120/2 = 60\°[/tex]
So the angles mEFD and mEGD are equal. The statement is TRUE.
2. mEGD = mECD
This statement is FALSE, because mEGD = 60° and mECD = 120°
3. mED = mFD
If mED is 120° and mEF = mFD, we have:
[tex]mED + mEF + mFD = 360[/tex]
[tex]2*mFD = 360 - 120[/tex]
[tex]mFD = 120\°[/tex]
So the statement is TRUE, both arcs have 120°.
4. mEF = 60°
This statement is FALSE, because we calculated before that mEF = mFD = 120°
5. mFD = 120°
This statemente is TRUE, because we calculated before that mFD = 120°.
So the correct statements are 1, 3 and 5
The true statements are: [tex]\angle EFD =\angle EGD[/tex], [tex]\overset{\huge\frown}{FD} = \overset{\huge\frown}{ED}[/tex] and [tex]\overset{\huge\frown}{FD} =120[/tex]
Start by calculating the measure of angle ECD.
We have:
[tex]\angle ECD = 2 * \angle EGD[/tex]
So, we have:
[tex]\angle ECD = 2 * 60[/tex]
[tex]\angle ECD = 120[/tex]
The above means that:
[tex]\overset{\huge\frown}{ED} = 120[/tex]
So, the measure of angle EFD is:
[tex]\angle EFD = 0.5 * \overset{\huge\frown}{ED}[/tex]
[tex]\angle EFD = 0.5 * 120[/tex]
[tex]\angle EFD = 60[/tex]
From the question, we have:
[tex]\angle EGD = 60[/tex]
So, it is true that:
[tex]\angle EFD =\angle EGD[/tex]
To calculate the measure of arc FD, we have:
[tex]\overset{\huge\frown}{FD} + \overset{\huge\frown}{DE} + \overset{\huge\frown}{EF} =360[/tex]
Lengths EF and DE are congruent.
So, we have:
[tex]2\overset{\huge\frown}{FD} + \overset{\huge\frown}{DE} =360[/tex]
[tex]\overset{\huge\frown}{DE} = \overset{\huge\frown}{ED} = 120[/tex]
So, we have:
[tex]2\overset{\huge\frown}{FD} + 120 =360[/tex]
Divide through by 2
[tex]\overset{\huge\frown}{FD} + 60 =180[/tex]
Subtract 60 from both sides
[tex]\overset{\huge\frown}{FD} =120[/tex]
This means that:
[tex]\overset{\huge\frown}{FD} = \overset{\huge\frown}{ED}[/tex] and [tex]\overset{\huge\frown}{FD} =120[/tex] are true
Hence, the true statements are: [tex]\angle EFD =\angle EGD[/tex], [tex]\overset{\huge\frown}{FD} = \overset{\huge\frown}{ED}[/tex] and [tex]\overset{\huge\frown}{FD} =120[/tex]
Read more about cyclic theorems at:
https://brainly.com/question/26168678
*LAST QUESTION , PLEASE ANSWER TY* (: Quadrilateral ABCD is inscribed in a circle. If angle A measures (3x – 10)° and angle C measures (2x)°, find x.
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Quadrilaterals.
Basically we know that, the sum of opposite angles of a quadrilateral inscribed in a circle is always 180°.
so applying this law here, we get as,
2X + (3X-10) = 180°
=> 5X - 10° = 180°
=> 5X = 190°
=> X = 190°/5
=> X = 38°
thus the angle X= 38°.
Find the missing length indicated.
Answer:
Step-by-step explanation:
x=✓64*36=✓8^2*6^2
x=8*6
x=48
Karl set out to Alaska on his truck.
The amount of fuel remaining in the truck's tank (in liters) as a function of distance driven (in kilometers) is
graphed.
How much fuel did the truck consume every 100 kilometers
Answer:
the amount of fuel consumed every 100 kilometers is 62.5 litres.
Step-by-step explanation:
To determine the amount of fuel consumed every 100 kilometers.
Note: since the graph is a straight line graph (linear graph) the amount of fuel consumed every 100 kilometers is constant (i.e the same for every 100 kilometers). So, we only need to derive the amount of fuel consumed any 100 kilometers on the graph.
From the graph, the amount of fuel consumed for the first 100 kilometers is;
[tex]F = F_0 - F_{100} .........................1[/tex]
[tex]F_0 = 500\\F_{100} \simeq 437.5\\[/tex]
substituting into equation 1.
[tex]F = F_0 - F_{100} \\F = 500 - 437.5\\ F = 62.5 litres\\[/tex]
Therefore, the amount of fuel consumed every 100 kilometers is 62.5 litres.
Answer:500
Step-by-step explanation:got it on Kahn
Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized
Answer:
[tex]m = 5 \sqrt{3}[/tex]
[tex]n = 5[/tex]
Step-by-step explanation:
Given
The triangle above
Required
Find the missing lengths
The missing lengths can be calculated by applying trigonometry ratios
From the triangle above,
the Hypotenuse is 10
Angle = 60
Calculating m
The relationship between m, the Hypotenuse and angle 60 is defined as follows;
[tex]sin \theta = \frac{Opp}{Hyp}[/tex]
Where [tex]\theta = 60[/tex]
[tex]Opp = m[/tex]
[tex]Hyp = 10[/tex]
The above formula becomes
[tex]sin60= \frac{m}{10}[/tex]
Multiply both sides by 10
[tex]10 * sin60= \frac{m}{10} * 10[/tex]
[tex]10 * sin60= m[/tex]
In radical from, [tex]sin60 = \frac{\sqrt{3}}{2}[/tex]
[tex]10 * sin60= m[/tex] becomes
[tex]10 * \frac{\sqrt{3}}{2}= m[/tex]
[tex]\frac{10* \sqrt{3}}{2}= m[/tex]
[tex]5 \sqrt{3}= m[/tex]
[tex]m = 5 \sqrt{3}[/tex]
Calculating n
The relationship between n, the Hypotenuse and angle 60 is defined as follows;
[tex]cos\theta = \frac{Adj}{Hyp}[/tex]
Where [tex]\theta = 60[/tex]
[tex]Adj = n[/tex]
[tex]Hyp = 10[/tex]
The above formula becomes
[tex]cos60= \frac{n}{10}[/tex]
Multiply both sides by 10
[tex]10 * cos60= \frac{n}{10} * 10[/tex]
[tex]10 * cos60= n[/tex]
In radical from, [tex]cos60= \frac{1}{2}[/tex]
[tex]10 * cos60= n[/tex] becomes
[tex]10 * \frac{1}{2}= n[/tex]
[tex]\frac{10*1}{2}= n[/tex]
[tex]5 = n[/tex]
[tex]n = 5[/tex]
Please could I have some help :)
Answer:
a) x = 128 degrees
b) Angle APD is the arc angle, which is equal to the central angle x subtended by the arc. Therefore angle APD = 128 degrees (and not 116 degrees)
Step-by-step explanation:
Given:
attached diagram
ABC is a straight line
Solution:
a) Find x
ABC is a straight line
angle ABD = supplement of CBD = 180-CBD = 180-116 = 64 degrees.
x is the central angle of the arc APD
so angle ABD is the inscribed angle which equals half of the arc angle =>
angle ABD = x/2 = 64 degrees
Solve for x
x/2 = 64
x = 2*64
x = 128 degrees
b.
Angle APD is the arc angle, which is equal to the central angle x subtended by the arc. Therefore angle APD = 128 degrees (and not 116 degrees)
PLEASE HELP! WILL MARK BRAINLIEST! 30 POINTS! ONLY DUE TOMORROW!
1. How many palindromes of length 5 can you form using letters with the following properties: they start with a consonant, and the consonants and vowels alternate; no letter appears more than twice. (Note: assume letters "a", "e", "i", "o", and "u" are the vowels of the English alphabet).
2. How many different words can be formed with the letters AAAABBCCD (not necessarily meaningful words)?
3. How many six-digit numbers have all their digits of equal parity (all odd or all even)?
4. You want to distribute 7 candies to 4 kids. If every kid must receive at least one candy, in how many ways can you do this?
5. In how many ways can we put five identical fruits into three bowls? Note that the bowls may be empty.
THANK YOU SO MUCH!
Answer:
Step-by-step explanation:
5. cut the five fruits into 3 equal parts....
5x3=15 pieces
15/3(bowls)=5 pieces in each bowl
cut the fruits in multiples of 5 divisible by 3....that many ways possible
(similarly 4th qstion can be done)!!
In a circle graph, what percent would be represented by a 25° angle? (round to nearest whole number if needed)
A. 7%
B. 6%
C. 9%
D. 8%
Answer:
A) 7%
Step-by-step explanation:
There are 360 degrees in a circle. Thus, a 25 degree sector would make up 25/360 of the circle. 25/360 can be simplified to .06944444. This rounds to .07, which is 7%.
Answer:
A. 7%
Step-by-step explanation:
A percent can be found by dividing the part by the whole and multiplying by 100.
(part/whole) *100
There are a total of 360 degrees in a circle. This is the whole.
We want to find what percent a 25 degree angle will take up. This is the part.
(25/360) * 100
First, divide 25 by 360.
0.0694444444 * 100
Now, multiply the numbers together
6.94444444 %
Round to the nearest whole number. The 9 in the tenth place tells us to round the 6 to a 7.
7 %
Therefore, the answer is A. 7%
help! Analyze the diagram below and complete the instructions that follow.
Answer:
a= 4[tex]\sqrt{6}[/tex]
b= 8[tex]\sqrt{2}[/tex]
c= 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
45-45-90 triangle
x - x - [tex]\sqrt{2}[/tex]
30-60-90 triangle
x - 2x - x[tex]\sqrt{3}[/tex]
Chicken is normally $2.15/ib.but if you purchase 26 pounds for $41.34,how much do you save per pound
Answer:
$0.56/lb
Step-by-step explanation:
Given
Cost of a chicken = $2.15 per pound
26 pound of a chicken = $41.34
Required
Calculate how much saved.
The first step is to calculate the unit price of a chicken when 26 pound of chicken was bought.
Unit Price = Price ÷ Weight
Unit Price = $41.34 ÷ 26lb
Unit Price = $1.59/lb
The next step is to calculate the difference between these two prices
Difference = |$1.59/lb - $2.15/lb|
Difference = |-$0.56/lb|
Difference = $0.56/lb
The calculated difference is the amount saved per pound of chicken when I bought 26 pound of chicken.
3. Use two unit multipliers to convert 3000 inches to meters.
Answer:
here, 1m= 39.37 inches
or, 39.37 inches =1m
or, 3000 inches = 3000÷39.37 m
therefore, the measurement in m is 76.20015 m
hope it will help uh..
im bad at math plz help me
Answer:
32
Step-by-step explanation:
960/384=2.5
80/?=2.5
80/2.5=32
HOPE I HELPED
BRAINLIEST PLSSSSSSSSSSS
-ZYLYNN JADE
Answer:
32 pages of advertisement.
Step-by-step explanation:
Assuming the advertisements are published at the same rate as the average, the rate is 384/960 = 2/5
So out of 80 pages, we can expect
80*2/5 = 32 pages of advertisement.
Construct perpendiculars image below
Answer: draw a straight line trough point B, same thing with the second one,for the third you must draw a straight line from the angle across to the segment. (make sure all of the intersections are 90 degrees
Please help i will mark brainliest for correct answers!
Answer:
i would say the answer is C) simple random sampling
Step-by-step explanation:
this is because an example of a simple random sample would be the names of 25 employees being chosen out of a hat from a company of 250 employees. In this case, the population is all 250 employees, and the sample is random because each employee has an equal chance of being chosen. This is similar to your question where it chooses 100 random people.
hope this helps ;)
ASAP+BRAINLYYYY! Thanks!
Answer:
Option C
Step-by-step explanation:
We would have the find the diet that are not Acadia leaves. Since the giraffes eat 75 pounds per day, we can simply subtract the quantity of the Acadia leaves from the 75 to get the amount for the other leaves.
You can also use the equation given in the question to check your answer if you use Option C's equation.
Option C should be the correct answer.
Answer:
C
Step-by-step explanation:
edge 2020
What is the factored form of 125a6-64?
Answer:
(5a^2-4)*(25a^4+20a^2+16)
Step-by-step explanation:
Answer:
Its B, (5a^2-4)(25a^4+20a^2+16)
Step-by-step explanation:
Edge 2020
An outdoor hockey rink has dimensions of 8m long by 5m wide. The wood
surrounding the rink will allow ice to have a height of 20 cm. Calculate the volume
of ice needed to create this rink.
A glass has the shape of a perfect cylinder with a diameter of 8cm and a height of
13 cm. Calculate the surface area of the glass keeping in mind that the glass has
no lid. please show work and will Mark brainliest
Answer:
First question = 800 cm^3
Second question =120π
Step-by-step explanation:
The formula for volume is base x height x width.
The formula for area of cylinder is 2πrh+2πr^2 but it has no lid so
2πrh+πr^2.
Alex, Toby and Samuel are playing a game together.
At the end of the game, they will make a classification with one of them in First
place, one of them in Second place and one of them in Third place.
Work out how many possible outcomes there could be at the end of their game.
The number of possible outcomes there could be at the end of their game is 6 outcomes
This is a permutation problem since it required arrangement
If Alex, Toby, and Samuel are playing a game together and at the end, they will make a classification with one of them in first place, one of them in Second place and one of them in Third place, this can be done in 3! ways
Since n! = n(n-1)(n-2)!
Hence 3! = 3(3-1)(3-2)
3! = 3 * 2 * 1
3! = 6 ways
Hence the number of possible outcomes there could be at the end of their game is 6 outcomes
Learn more here: https://brainly.com/question/24115376
Find the missing side lengths. Leave your answers as radicals in simplest form.
ANSWER QUICK
Answer:
C
Step-by-step explanation:
It is an iscoceles triangle because there are 180 degrees in a triangle and the right angle plus the 45 degree equals 135 and 180 minus 135 is 45.
Since it is an iscoceles triangle that means that n = 3 and the pythagorean theorom says that a^2 + b^2 = c^2 which means that m = 3^2 plus 3^2 with a root.
3^2 is 9 so you get 18
the root of 18 is infinite, however can be simplified to 3 root to 2 because 3 times 3 equals 9 times 2 equals a root of 18
Hope this helps!
Evaluate the following when a=2 b=-3 and c=4:
5a -b2 +2c(a-b)
Select one:
a. 41
O b.-41
O c. 135
O d. 270
Answer:
A. 41
Step-by-step explanation:
5a - b² + 2c(a-b)
Put a = 2, b = -3, and c = 4.
5(2) - (-3)² + 2(4)(2-(-3))
Evaluate.
10 - 9 + 2(4)(2+3)
10 - 9 + 8(5)
10 - 9 + 40
1 + 40
= 41
Answer:
[tex]41[/tex]
Step-by-step explanation:
Given that,
[tex]a = 2 \\ b = - 3 \\ c = 4[/tex]
Let's solve now,
[tex]5a - {b}^{2} + 2c(a - b) \\ 5 \times 2 - ( { - 3}^{2} ) + 2 \times 4(2 - ( - 3)) \\ 10 - ( - 3 \times - 3) + 8(2 + 3) \\ 10 - 9 + 8 \times 5 \\ 10 - 9 + 40 \\ 1 + 40 \\ = 41[/tex]
What is the standard form of 7 + 3i / 2 - 5i
A. -29/21 + 4/21i
B. -29/21 - 4/21i
C. 1/29 - 41/29i
D. -1/29 + 41/29i
Answer:
Step-by-step explanation:
7 + 3i / 2 - 5i would be clearer if written as (7 + 3i) / (2 - 5i). We must remove the symbol i from the denominator, and that can be accomplished by multiplying both 7 + 3i and 2 - 5i by the conjugate 2 + 5i:
(2 + 5i)(7 + 3i)
--------------------
4 + 29
which simplifies to 14 + 6i + 35i - 15 over 33, or
-1 + 41i
------------
33
3+(x)(4x)-2x
What is the degree of this polynomial and the simplified form written
in descending order?
The points The points
A (3, 8),
B (6, 8),
C (6, 3),
D (5, 3)
need to be transformed to points
A'' (–3, 1),
B'' (–6, 1),
C'' (–6, –4),
D'' (–5, –4).
What transformations are made to make Building 4?
Answer:
Reflect the points across the y-axis and then translate them 7 units down.
Step-by-step explanation:
Let's look at Points A and A''. We notice that to transform A into A'', we need to reflect the point across the y-axis and then translate it down 7 units. We know this because 3 and -3 are opposite numbers are 8 - 7 = 1.
Answer:
D
Step-by-step explanation:
The points The points
A (3, 8),
B (6, 8),
C (6, 3),
D (5, 3)
need to be transformed to points
A'' (–3, 1),
B'' (–6, 1),
C'' (–6, –4),
D'' (–5, –4).
What transformations are made to make Building 4?
The sales tax rate for the state of Washington was 7%.
What is the state sales tax on a $3,800 car in Washington?
$
What is the final cost of the car, including tax?
Answer:
Total cost of the car including tax=$4,066
Step-by-step explanation:
Sales tax rate=7%
Price of the car=$3800
Sales tax=7% of 3800
=7/100×3800
=$266
Total cost of the car=price of the car+ sales tax
=$3800+$266
=$4,066
Helpppppppppppppp !!!
Answer:
a) 8
b) 2 1/4 hours
c) 4 7/8 hours
d) 4 1/8 hours
Step-by-step explanation:
a) LCD to be used to solve this problem is calculated as the Lowest common denominator of the above mixed fractions.
We have 1 1/2 hours and 1 1/8 hours
The lowest common denominator is the denominator calculated by
Multiplying the two denominators together and dividing by the common factor of the two denominators
Hence , we have
2 × 8 = 16
The common factor of 2 and 8 = 2
LCD = 16/2 = 8
b) How long did Matt drive?
We are told that Matt drove twice as long as John
John drove for 1 1/8 hours
Hence, the number of hours that Matt drove for =2 × 1 1/8
= 2 × 9/8 = 9/4 hours = 2 1/4 hours
c) How long the Sam, John and Matt drive ?
We are told in the question that
Sam drove for 1 1/2 hours
John drove for 1 1/8 hours
Matt drove for 2 1/4 hours
We would sum up the number of hours that each of them drove.
1 1/2 + 1 1/8 + 2 1/4
The Lowest common multiple of denominators is 8
= (1 + 1 + 2)( 4 + 1 +2/8)
= 4(7/8)
= 4 7/8 hours
d) How many hours is left for Bob to drive
We are told that the entire journey = 9 hours
The number of hours Sam, John and Matt drove for has been calculated in question c as 4 7/8 hours
The number of hours Bob will drive for is calculated as
9 hours - 4 7/8 hours
= 4 1/8 hours
PRE CALC HELP PLEASE
Answer:
True.
Step-by-step explanation:
The function is indeed a polynomial. We have the single variable [tex]x[/tex] plus a constant [tex]\pi[/tex] (it's irrational, but it's still simply just a constant number). This fits the definition of polynomials.