Answers
Answer:
h(2) = 7/4
h(-3) = -2
h(-2) = 11/(-8)
h(-3) - h(-2) = -(5/8)
Step-by-step explanation:
h(x) = (2x^2-x+1) / (3x-2)
h(2) = (2*2^2 - 2 + 1) / (3*2 - 2)
= (8 - 2 + 1) / (6 - 2)
= 7/4
h(-3) = {2*(-3)^2 - (-3) + 1} / {3*(-3) - 2}
= (18 + 3 + 1) / (-9 - 2)
= 22/(-11)
= -2
h(-2) = {2*(-2)^2 - (-2) + 1} / {3*(-2) - 2}
= (8 + 2 + 1) / (-6 - 2)
= 11/(-8)
h(-3) - h(-2) = (-2) - {11/(-8)}
= -(5/8)
Hope this will help. Please give me brainliest.
[tex]h(3) - h( - 2) = - \frac{5}{ 8} \\ \\ [/tex]
[tex]\boxed{h(x) = \frac{2 {x}^{2} - x + 1}{3x - 2}}[/tex]
[tex]h(2) = \frac{2 {(2)}^{2} - (2) + 1}{3(2) - 2} [/tex]
[tex]h(2) = \frac{2 {(4)} - 2 + 1}{6 - 2} [/tex]
[tex]h(2) = \frac{ 8 - 1}{4} [/tex]
[tex]h(2) = \frac{7}{4}[/tex]
[tex]h( - 3) = \frac{2 {( - 3)}^{2} - ( - 3) + 1}{3( - 3) - 2} \\ h( - 3) = \frac{2 (9) + 3 + 1}{ - 9- 2} \\ h( - 3) = \frac{18 + 4}{ - 11} \\ h( - 3) = \frac{22}{ - 11} \\ h(-3) = -2[/tex]
[tex]h( - 2) = \frac{2 {( - 2)}^{2} - ( - 2) + 1}{3( - 2) - 2} \\ h( - 2) = \frac{2 (4) + 2+ 1}{- 6 - 2} \\ h( - 2) = \frac{8 + 3}{- 8} \\ h( - 2) = \frac{11}{- 8} [/tex]
[tex]h(3) - h( - 2) = -2 - \frac{11}{- 8} \\=-2 + \frac{11}{ 8} \\ =- \frac{5}{ 8} [/tex]
Related Questions
The storage space in a moving truck is shaped like a rectangular prism. It has a total volume of 16 cubic meters. The height and width are both 2 meters less than the depth. What are the dimensions of the storage space?
Answers
Answer:
The dimensions are four by two by two meters.
Step-by-step explanation:
The volume for a rectangular prism is given by:
[tex]V=\ell wh[/tex]
Where l is the length (or depth), w is the width, and h is the height.
Since the height and width are both two meters less than the depth, we can write that:
[tex]h=\ell -2\text{ and } w = \ell -2[/tex]
We are also given that the total volume is 16 cubic meters. Substitute:
[tex]16=\ell(\ell -2)(\ell -2)[/tex]
Expand:
[tex]16=\ell(\ell^2 -4\ell +4)[/tex]
Distribute:
[tex]16=\ell ^3-4\ell ^2+4\ell[/tex]
Isolate the equation. So:
[tex]\ell ^3-4\ell ^2+4\ell -16=0[/tex]
We can factor by grouping. From the first two terms, factor out a l² and from the last two terms, factor out a 4:
[tex]\ell ^2(\ell -4)+4(\ell -4)=0[/tex]
Factor:
[tex](\ell ^2+4)(\ell -4)=0[/tex]
Zero Product Property:
[tex]\ell ^2+4=0\text{ or } \ell - 4=0[/tex]
Solve for each case:
[tex]\ell^2=-4\text{ or } \ell =4[/tex]
Since we cannot take the square root of a negative number, we can ignore the first case.
Therefore, the length (or depth) of the storage space is four meters.
Thus, the dimensions are four by two by two meters.
A farmer has a rectangular field with length 1 mile and width 0.5 miles. How much fencing would it take to enclose his field?
Answers
Answer:
3 mi of fencing would be required to enclose this field.
Step-by-step explanation:
Here we are finding the perimeter of a field with given length and width. We apply the perimeter formula P = 2L + 2W. Substituting the given dimensions, we get:
P = 2(1 mi) + 2(0.5 mi), or
P = 2 mi + 1 mi = 3 mi
3 mi of fencing would be required to enclose this field.
Answer:
15840 feet of fencing = Perimeter = 15840ft
However, if fencing is 6ft or 10ft we need to divide by the length of each fence for panels.
See bold.
Step-by-step explanation:
6ft fencing = 5280/6 = 880 fences one length
880 x 2 = 1760 6ft fences 2 sides
0.5 x 1760 = 880
1760+ 880 = 2640 fences each 6ft
Total feet of fence = 2640 x 6 =15840 feet of fencing
A cooking teacher needs to give each student in his class three eggs to use in a recipe. There are 44 students in the class. How many dozens should the teacher buy?
Answers
Answer:
11
Step-by-step explanation:
Multiply 44 by 3 to get the amount of eggs you need total, then divide it by 12 for each dozen of cartons you’ll need to buy. The end result is 11.
Please help me on this question, ignore the pencil marks.
The answer choices are
A. 4
B. 5
C. 6
D. 7
E. 8
Answers
A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and I is red. If it is spun randomly, what is the probability of it landing either on a yellow or a red section?
Answers
Given:
A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and 1 is red.
To find:
The probability of it landing either on a yellow or a red section.
Solution:
We have,
Total number of sections = 8
Black sections = 3
Yellow sections = 4
Red sections = 1
Now,
Either yellow or red sections = 4 + 1
= 5
Now, the probability of it landing either on a yellow or a red section is:
[tex]\text{Required probability}=\dfrac{\text{Either yellow or red sections}}{\text{Total number of sections}}[/tex]
[tex]\text{Required probability}=\dfrac{5}{8}[/tex]
Therefore, the required probability is [tex]\dfrac{5}{8}[/tex].
Find the value of x to the nearest tenth.
Answers
Step-by-step explanation:
p^2+b^2=h^2
or, 16+9=h^2
or, 25=h^2
or h=5
again, p^2 +b^2=h^2
or, 25+b^2=36
or, b^2=11
or. b=√11 therefore b=x=√11
explanation please will give brainliest.
Answers
Answer:
[tex]AC = 28[/tex]
Step-by-step explanation:
Given
[tex]AB = 16[/tex]
[tex]BC = 12[/tex]
Required
Determine AC
Since A, B and C are collinear, then:
[tex]AC = AB + BC[/tex]
So, we have:
[tex]AC = 16 + 12[/tex]
[tex]AC = 28[/tex]
Darrell builds and sells bookcases to earn money. He earns $20 for each bookcase he sells. The more bookcases he sells, the more money he earns. What is the dependent variable in this situation?
Answers
Answer: The total amount of money Darrell earns selling bookcases
Answer
Step-by-step explanation:
The dependent variable refers to the variable which is tested or measured or tested when an experiment is done. The dependent variable normally depends on the independent variable.
In this question, the independent variable is the bookcase while dependent variable is the total amount of money Darrell earns selling bookcases.
NEED HELP ASAP! Which condition would prove JKL ~ XYZ?
Answers
what are the approximate measurements of each given measurement to the nearest centimetre, then find the sum: 16.4 cm + 12.8 mm + 9.6 cm + 14.6 mm
Answers
Answer:
54
Step-by-step explanation:
16.4= 16
12.8= 13
9.6= 10
14.6=15
16 + 13 +10 +15 = 54
96 sq meters
144 sq meters
84 sq meters
102 sq meters
Pls show work I get different answers from people every time
Answers
14+6×(9-6)
please answer
Answers
Answer:
32
Step-by-step explanation:
14+6(9-6)
[9-6=3]
14+6x3
[6x3=18]
14+18
32
---
hope it helps
Answer:
14+6×(9-6)=32
What is the thirteenth number in the Fibonacci sequence
Answers
Answer:
The 13th number in the Fibonacci sequence is 144.
Step-by-step explanation:
The sequence from the first to the 13th number is: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.
[tex]\huge\boxed{\sf 144}[/tex]
A series of integers known as the Fibonacci sequence begins with a zero, is followed by a one, another one, and then a series of increasing numbers. Each number in the series equals the sum of the two numbers before it. Every succeeding pair of Fibonacci numbers has a quotient resembling the golden ratio.
[tex]\sf 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, \boxed{144}, 233, 377,...[/tex]
Angles D and G are complementary. What statement must always be true about angles D and G?
Answers
Answer:
They will never intersect. I'm pretty sure that is right
0.87 written as a fraction
Answers
Answer:
[tex] \frac{87}{100} [/tex]Step-by-step explanation:
Convert to a mixed number by placing the numbers to the right of the decimal over 100. Reduce the fraction.
Hope it is helpful...Answer:
87/100
Step-by-step explanation:
Circle O has a circumference of approximately 25077 ft.
Nhat is the approximate length of the diameter o?
40 ft
O 80 ft
0 125 ft
250 ft
Answers
Answer:
7,982 ft
Step-by-step explanation:
c = πd
25077 = πd
Divide both sides by π
25077/π = d
d = 7,982 ft
----------------------
I think the 25077 number in the question might be a typo
Just divide the correct number by 3.14 to get the diameter.
To purchase $14.400 worth of machinery for his business, Greg made a down payment of $1400 and took out a business loan for the rest. After 2 years of
paying monthly payments of $576.18, he finally paid off the loan.
Answers
Answer:
below
Step-by-step explanation:
cost of the machinery = $14,400
he paid a deposit of $1400
then later paid $576.18 for two years
two years = 24 months
= $576.18 *24
=$13,828.32
total amount paid
= initial deposit + amount paid in two years
= $1,400 + $13,828.32
=$15,228.32
so he finally paid $15,228.32
interest = selling price - original cost
= $15,228.32 - $14,400
=$828.32
therefore interest = $828.32
Classify the following as discrete or continuous random variables.
1. The weight of bags of apples, with 10 apples in each bag.
2. The number of times required for a modem to dial an internet provider before connecting.
3. Out of 10 times connecting to an internet provider, the average number of attempts necessary before connecting.
4. A pair of dice is rolled, and the sum to appear on the dice is recorded.
Answers
Answer:
A discrete variable is a variable that can only take some selected given values from a given set, like x ∈ {x₁, x₂, ..., xₙ}
While a continuous variable can take any value in the range, like x ∈ {x₁, xₙ}.
1) The weight of bags of apples, with 10 apples in each bag.
Here the weight depends on the number of apples in the bag, and we can have only whole numbers of apples in the bag, so this is clearly a discrete variable.
2) The number of times required for a modem to dial an internet provider before connecting.
Same as before, here we can have only a whole number of attempts, so this set is discrete.
3) Out of 10 times connecting to an internet provider, the average number of attempts necessary before connecting.
Here we will have an average of 10 integer numbers:
[tex]M = \frac{x_1 + x_2 + ... + x_{10}}{10}[/tex]
so here we have a kinda dense set of possible values, so we can think of this as a continuous variable.
4) A pair of dice is rolled, and the sum to appear on the dice is recorded.
Here the possible values are whole numbers again, so we can not have values like 3.5, so again, this is a discrete variable.
Find the size of the of angle x.
Answers
Total degrees in any triangle = 180
Angles given = 65 + 35 = 100
X = 180-100 = 80
Answer:
80 degrees
Step-by-step explanation:
Since a triangle is 180 degrees
you then add to 2 degrees given and subtract it from 180
65+35=100
180-100=80 degrees
The Natural History Museum has a 1:60 scale model of a tyrannosaurus rex dinosaur. The length of the model is 20 centimeters. Find the
actual length (in meters) of a tyrannosaurus rex.
Answers
Answer:
12 meters
20cm*60 = 1200cm = 12 meters
100cm = 1m btw
HELP HELP HELP!!!!!!!!!!!!!!!!!!!
Answers
Answer: the top one
Step-by-step explanation:
Please help it’s a riddle can you find the correct answer
Answers
(a)
There are 33 liters of orange juice at a school party. 1010 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get?
___liters
Enter your answer as a fraction or a mixed number.
(b)
Write a number sentence that represents the problem.
___________ = __________
In the first box write an equation like 1+11+11+1 . In the second box, write your answer.
PLS DON'T FOR GET TO DO PART B TOO I AM BEGING YOU!
Answers
Answer:
a) 30.60
b) 1010/33 = 30.60
Step-by-step explanation:
can you guys help me measure x
Answers
Step-by-step explanation:
everything can be found in the picture
Answer:
x = 102
Step-by-step explanation:
The angles form a straight line
Angles that form a straight line add up to equal 180
Hence, x + 78 = 180
Subtract both sides by 78
180 - 78 = 102
78 - 78 cancels out
Were left with x = 102
In ΔDEF, the measure of ∠F=90°, ED = 25, DF = 24, and FE = 7. What ratio represents the sine of ∠D?
Answers
Answer:
39/89
Step-by-step explanation:
Answer:
7/25
Step-by-step explanation:
(sin) = opp/hyp
What is the y-intercept of the graph of the line whose equation is y = -2/5x + 4?
1) - 5/2
2) - 2/5
3) 0
4) 4
I’ve been stuck on this question for so long I need help with it.
Answers
Answer:
4
Step-by-step explanation:
in y=mx+b, the "b" is the y-intercept
Answer:
4
it's in y = mx + b form, where b is the y-intercept
Oliver wants to compare the number of hours 7th graders
and 8th graders play video games per week. He makes a
box-and-whisker plot for each data set.
8th Grade
7th Grade
10
12
14
16
18
20
22
24
26
28
30
32
Which value do you know is lesser for 7th grade than 8th
grade?
Answers
Xác suất thống kê: Người ta tổng kết các phương pháp chẩn đoán dạ dày tá tràng. Trên lâm sàng chẩn đoán đúng 60%; X-quang 70%; nội soi 80%. Kết hợp cả 3 phương pháp thì khả năng chẩn đoán đúng là bao nhiêu?
Answers
Answer:
Step-by-step explanation:
iam a gay 345366e2673
A rectangle has a length of 16
inches and a width of 6 inches. A similar rectangle has a length of 24 inches. What is the width of the similar rectangle?
Answers
Answer:
9 inches
Step-by-step explanation:
Given
Let;
[tex]L = Length; W= Width[/tex]
So:
[tex]L_1=16in; W_1 = 6in[/tex]
[tex]L_2 = 24[/tex]
Required
Determine [tex]W_2[/tex]
To do this, we make use of the following equivalent ratios
[tex]L_1 : W_1 = L_2:W_2[/tex]
This gives
[tex]16 : 6= 24:W_2[/tex]
Express as fraction
[tex]\frac{6}{16}= \frac{W_2}{24}[/tex]
Multiply by 24
[tex]W_2 = 24 * \frac{6}{16}[/tex]
[tex]W_2 = 9[/tex]
What is 15 percent in 660
Answers
Answer:
99
Step-by-step explanation:
10% = 66
5% = 33
66+33=99
