Answer: (h-g)(-2)=18
Step-by-step explanation:
(h – g) (-2) means the same as subtracting h(-2) and g(-2). Since we are given h(x) and g(x), we can use them to solve. There are two ways to solve. One is to find h(-2) and g(-2), and then subtract them. Another way is to do (h-g)(x), then plug in x=-2. I will show both methods.
Method 1
h(-2)=2(-2)²-5(-2)+2 [exponent]
h(-2)=2(4)-5(-2)+2 [multiply]
h(-2)=8+10+2 [add]
h(-2)=20
g(-2)=(-2)²-2(-2)-6 [exponent]
g(-2)=4-2(-2)-6 [multiply]
g(-2)=4+4-6 [add then subtract]
g(-2)=2
(h-g)(-2)=20-2 [subtract h(-2) and g(-2)]
(h-g)(-2)=18
--------------------------------------------------------------------------------------------------------
Method 2
(h-g)(x)=2x²-5x+2-(x²-2x-6) [distribute -1]
(h-g)(x)=2x²-5x+2-x²+2x+6 [combine like terms]
(h-g)(x)=x²-3x+8
(h-g)(-2)=(-2)²-3(-2)+8 [plug in x=-2, exponent]
(h-g)(-2)=4-3(-2)+8 [multiply]
(h-g)(-2)=4+6+8 [add]
(h-g)(-2)=18
--------------------------------------------------------------------------------------------------------
Now, we know that (h-g)(-2)=18. We confirmed this with both methods.
Which number completes the series: 1, 3, 6, 10, 15, ???
Answer:
21
best of luck!
Answer:
21
Step-by-step explanation:
1 + 2 = 3
3 + 3 = 6
6 + 4 = 10
10 + 5 = 15
15 + 6 = 21
Hope it helps
Mark it as Brainliest!
Determine how many solutions the equation has. If one solution, state the value of x.
x + 6 + 8 = 2x – x + 14
Group of answer choices
No Solution
One Solution, x=0
Infinite Many Solutions
One Solution, x=14
Answer:
x + 6 + 8 = 2x – x + 14 = True
Step-by-step explanation:
(all values of x are solutions)
Find the equation of a line parallel to 4x-y=-3 that contains the point (-1,-2). Write the equation in slope-intercept form.
Answer:
Step-by-step explanation:
-y = -4x - 3
y = 4x + 3
y + 2 = 4(x + 1)
y + 2 = 4x + 4
y = 4x + 2
The table shows the relationship between the number of Calories Jacob burns while roller skating and the number of minutes he roller skates,
Minutes Calories Burned
40
200
80
400
120
600
160
800
How many calories will Jacob burn in 1 minute while roller-skating? Enter the answer in the box.
Answer: 5 calories
Step-by-step explanation:
Given the data:
Minute ____calorie burned
40__________200
80__________400
120_________ 600
160_________ 800
We need to find the rate at which calorie is burned :
Rate of burn = (Number of calorie burned/ time taken)
Take any of the points :
Time = 80 ; calorie burned = 400
Rate of burn = (400 calorie / 80 minute )
Rate of burn = 5calorie/minute
If time = 1 minute ; rate = 5
Calorie burned in 1 minute :
Amount of calorie = rate of burn × time taken
Amount burned in 1 minute = 5 × 1 = 5 calories
Hence, amount of calorie burned in one minute is 5 calories.
Answer:
5
Step-by-step explanation:
Maps Testing I have done it.
9x+3x-10=3(3x+x) identity or solution
There is no solution. The output of this equation is equal to -10 = 0 which is obviously not true.
The price of jeans was reduced $15 per week for 6 weeks by how much did the price of the jeans change over the 6 weeks
Step-by-step explanation:
1. 7 (-6)=42
after 7 weeks the price will be reduced by 7 time
the price will be reduced $42
Need help I don’t understand
Answer:
see below
Step-by-step explanation:
(2 · x) · 6 = 2 · (x · 6) → Associative property of multiplication, this property states that (a · b) · c = a · (b · c), basically, it doesn't matter what order you multiply in, the result will always be the same.
3(3x + 2) = 9x + 6 → Distributive Property, this property states that a(b + c) = a · b + a · c.
(7 + 1) + 5 = 5 + (7 + 1) → Commutative property of addition, this property states that a + b = b + a which means that you can "flip" or "switch the positions of" the quantities being added and you will still get the same result.
(7 · x · 3) = (7 · 3 · x) → Commutative property of multiplication, just like the commutative property of addition, this states a · b = b · a, in other words, you can "flip" or "switch the positions of" the quantities being multiplied and you will get the same result.
(9 + 2) + 3 = 9 + (2 + 3) → Associative property of addition, just like the associative property of multiplication, this property states that (a + b) + c = a + (b + c), in other words, it does not matter which order you add in, the result will always be the same.
Convert 2.38 km to dm.
Answer:
Step-by-step explanation:
2.38 km x 10^4 = 23,800 decimeters
у
is 100% more than x.
Circle the ratio
x : y
Answer:
1:2
Step-by-step explanation:
Alan owes $412.42 on his credit card. He returns two items, one for $48.38 and the other for $49.57. Then
he makes purchases of $34.10 and $37.06. What is the new balance on the card?
Answer:
he now owes $385.63
Step-by-step explanation:
owes $412.42
returns an item for $48.38
-412.42 + 48.38 = -364.04
he now owes $364.04
returns an item for $49.57
-364.04 + 49.57 = -314.47
he now owes $314.47
makes a purchase of $34.10
-314.47 - 34.10 = -348.57
he now owes $348.57
makes a purchase of $37.06
-348.57 - 37.06 = -385.63
he now owes $385.63
Answer:
Nah you wrong
Step-by-step explanation:
You have got
to start thinking bee, my friend.
- Thinking bee!
- Me?
Hold it. Let's just stop
for a second. Hold it.
I'm sorry. I'm sorry, everyone.
Oan we stop here?
I'm not making a major life decision
during a production number!
All right. Take ten, everybody.
Wrap it up, guys.
Convert 0.0555 m to mm
Answer:
0.0555 meter =
55.5 millimeters
Answer:
55.5mm
Step-by-step explanation:
A poll of 72 seniors, taken three weeks before the selection of the school Homecoming Queen, identified 60 who planned to vote for Jenny Wonderful. Unfortunately, a week after the poll was taken, the school newspaper ran an article that quoted Jenny slandering her opponents. Another poll of 80 seniors taken shortly after the article appeared showed that 56 planned to vote for Jenny.
Required:
Does this indicate a significant drop in support for Jenny?
Answer:
Yes
Step-by-step explanation:
Initially it is provided that out of a total of 72 people 60 planned to vote for Jenny. This ratio as percentage shall be = [tex]\frac{60}{72} \times 100[/tex] = 83.33%
Later on the number of seniors polling in the survey increased to 80.
Now, out of 80 seniors, 56 planned to vote for Jenny.
In the percentage form this shall be
[tex]\frac{56}{80} \times 100 =[/tex] 70%
Thus, there is a change of 83.33% - 70% = 13.33%
This shall be considered a significant drop as it is more than 10% in an audience size of less than 100.
The distance around a yard is 588ft. If the length of the yard is 2 more than 3 times the width, find the perimeter and width of the yard
Answer:
Perimeter = 588ft (given), Width of yard = 73ft
Step-by-step explanation:
The distance around a yard is the perimeter of the yard, so we know that the perimeter of the yard is 588ft. In order to find the length and width, we need to make an equation so we can solve for one of them. Since the length is 2 more than 3 times the width, we can represent it as 3w+2, where w is the width. This ensures we only have one unknown to solve for as we only have one equation. Since perimeter is the distance around the yard, it is calculated by adding the length of the 2 widths to the length of the 2 lengths, hence 588ft = 2w + 2l, the l we replace though as we can only solve for one unknown, so now we have:
2w + 2(3w+2) = 588
Now we can start solving for the width!
Firstly we need to expand the bracket which we do by multiplying the 2 by all the contents inside the bracket, so:
2w + 2*3w + 2*2 = 588
which equals:
2w +6w +4 = 588
Now we combine terms and move the 4 to the other side so we can solve for w:
8w + 4 -4 = 588 - 4
8w = 584
Now we just divide both sides by 8 to get:
w=73
The width of the yard is 73ft.
Hope this helped!
If John has drank three drinks per day how many will he have drank in 3 day's?
Answer: 9
do the 3 times table
Step-by-step explanation: if 3 in 1 than 9 in 3
hoped this helped let me know if it did
PLEASE HELP I WILL MARK YOU BRAINLIEST
A bread company makes 4 types of bread. A restaurant chain ordered 612 loaves of each kind of bread. How many loaves of bread in total did the restaurant chain order?
Mr. Ecker had $72 that he evenly split amongst his four children for their allowance. He then gave his eldest daughter an extra $5. How much money did Mr. Ecker’s eldest daughter get?
Answer:
1. 2448 do 612x4
2.she got $23 because he has four children and splits all do 72 divide by 4 and add 5 and thats ur answer
hope this helped
distance is the number of units between two integers use number line to find the distance between each pair of integers
Answer:
X=1 units
Y= 5 units
Z=3 units
Step-by-step explanation:
Answer:
153 in order
Step-by-step explanation:
Determine the interval on which this function is constant. (1 point)
(-2,2)
Just took the quiz, this is 100% correct.
Please mark brainliest! :)
The constant function is - f(x) = -2 in the interval x ∈ [-2, 4].
We have a graph of a function f(x).
We have to determine the interval on which this function is constant.
Define Constant function.A constant function is a function having the same value of range for different values of the domain. Mathematically -
y = f(x) = k [ k is constant ]
According to the question, we can see from the graph that -
The value of f(x) is constant, and is equal to f(x) = -2 between the points -2 and 4 on the x - axis.
The function in this interval can be given by -
f(x) = -2 where x ∈ [-2, 4].
Hence, the constant function is - f(x) = -2 in the interval x ∈ [-2, 4].
To learn more about constant functions, visit the link below-
https://brainly.com/question/19595873
#SPJ2
How many thousands are in 655,000
Answer:
55
Step-by-step explanation:
655,000 has 55 thousands. Hope this helps
There are 55 thousands in 655,000.
There are 6 hundred thousands, and 55 thousands. Hope this helps!
suppose that: (x-(x-y))-((x-y)-x)=14 what is x
Answer:
x = 0.
Step-by-step explanation:
(x-(x-y))-((x-y)-x)=14
Remove the parentheses from the inside out:
(x - x + y) - (x - y - x) = 14
x - x + y - x + y + x = 14
x - x - x + x + 2y = 14
0 + 2y = 14
x = 0 and y = 7.
Many unversities and colleges have instituted supplemental instruction (SI) programs, in which student facilitator meets regularly with a small group of students enrolled in the course to promote discussion of course material and enhance subject mastery. Suppose that students in a large statistics course are randomly divided into a control group group that will not participate in SI and a treatment group that will participate. At the end of the term each student’s total score in the course is determined.
A) Are the scores from the SI group a sample from an existing population? If so, what is it? If not, what is the relevant conceptual population?
B) What do you think is the advantage of randomly dividing the students into the two groups rather than letting each student choose which group to join?
C) Why didn’t the investigators put all students in the treatment group?
Answer:
Step-by-step explanation:
SUPPLEMENTAL INSTRUCTION PROGRAMS
- Students in a large statistics course are randomly divided into a control group and an experimental/treatment group. At the end of the term, each student's score in the course is examined
(A) The scores from the SI (Experimental) group are not a sample from an existing population. They are data from a group in a sample, hence the sample here is the number of students tested in this experiment and that equates to all the students in the large Statistics course/class.
- The relevant conceptual population would be all students in the university, since the general purpose or statement of this experiment is to see the effect of SI programs implemented in universities.
(B) The advantage of the random (unintentional) division of the students into control and experimental groups is that results or scores from the groups will be unbiased.
If you let each student choose a group, there is a high probability that the serious students will all join the SI group while the unserious ones will choose to be in the control group.
There is also a high probability that brilliant/pompous students will ignore the supplemental instruction program while students with low and medium intelligence quotient (IQ) will embrace it.
It is also possible that students will join whatever group their friends join.
These and other biases will defeat the aim of the experiment.
(C) The investigators didn't put all students in the sample into the experimental group because the difference or impact of the SI program needs to be known; whether positive or negative. Dividing them into the 2 groups lets the investigators know if there is a difference in the scores of students in the two groups.
0.95 bar as a simplified fraction
Answer:
95/99
Step-by-step explanation:
khan
A coin flipped 10 times and the results is recorded. What is the probability of getting at least 8 tails ?
Answer: 0.0546875
Step-by-step explanation:
The number of times the coin landing head 8 out of 10 is simply:
C(10, 8)/2^10. At least 8 means, 8 or more. Since the events here are dependent on themselves the answer would be:
[ C(10, 8) + C(10, 9) + C(10, 10) ] / 2^10 = 56/1024 = 0.0546875
write two numbers that fit each description?
a. a positive number between 1 and -1 ?
b. a whole number and it's opposite between -0.5 and 0.9?
c. a decimal and a fraction between -4 and -3?
Answer:
a. 0.5
b. -0.4 and 0.4
c. -3 1/3 and -3.23
Hope this helps!
The Greatest Problems on Campus
Identify the reasoning process, induction or deduction. Explain your answer. The data
in the graph are from a random sample of 1200 full-time four-year undergraduate
college students on 100 campuses. The bar chart shows the percentage of students
identifying the greatest problem on campus. We can conclude that there is a high
probability that approximately 17% of all full-time four-year college students believe
that cost of education is the greatest problem on campus.
Select the correct answer below.
OA. This is an example of inductive reasoning because a specific conclusion is reached from general facts
B. This is an example of deductive reasoning because a specific conclusion is reached from general facts
OC This is an example of deductive reasoning because a general conclusion is reached based on a specific example
OD
This is an example of inductive reasoning because a general conclusion is reached based on a specific example,
Answer: D.) This is an example of inductive reasoning because a general conclusion is reached based on a specific example,
Step-by-step explanation: Inductive reasoning simply refers to making conclusion about a specific subject or topic from patterns or insights derived from related examples. In the scenario above, the conclusion reached encompasses the overall full time 4 years college student. However, this conclusion was inferred based on a specific example comprising of only a randomized sample of 1200 full time 4 years college students in 100 campuses. random. The example failed to incorporate every student, Hence, the conclusion is induced as the choice of a sample of students may not convey the choice or decision of all.
Deductive reasoning meanwhile follows that a generally established fact is used to make conclusion about a specific example.
In this exercise we have to use the knowledge of statistics to identify the alternative that best represents the calculation made, in this way we can say that it corresponds to the alternative:
Letter D
Inductive interpretation completely refers to making conclusion about a particular subject. In the scenario above, the decision attain include the overall full opportunity 4 age college student.
However, this judgment exist implicit based on a distinguishing model consist of of only a randomized sample of 1200 full occasion 4 age college person actively learning fashionable 100 campuses. haphazard.
The example be unsuccessful to include all student, Hence, the judgment exist induced as the choice of a sample of person actively learning grant permission not transport the choice or decision of all.
Deductive interpretation at the same time act in accordance with that a generally set up to endure experience is used to create end about a particular example.
See more about statistics at brainly.com/question/10951564
Congruent squares of length x are cut from the corners of an 8 inch by 12 inch piece of cardboard to create a box without a lid What is the... -Height of the box -Length of the box -Width of the box Write the function v(x) for the volumn of the box in terms of x. Leave in factored form.
Answer:
1. The height if the box is x.
2. The length of the box is 8 - 2x
3. The width of the box is 12 - 2x
4. The volume of the box is 4x(6 - x)(4 - x)
Step-by-step explanation:
1. Since the squares of length x are cut from the corners of the cardboard, the height of the box is the length of a square which is x.
2. Since we have 8 inch by 12 inch, its length is 8 inches and its width 12 inches.
Since squares of x length are cut from the corners of the cardboard, the length of the box is 8 - 2x
3. Since we have 8 inch by 12 inch, its length is 8 inches and its width 12 inches.
Since squares of x length are cut from the corners of the cardboard, the width of the box is 12 - 2x
4. The volume of the box is V(x) = length × width × height = (12 - 2x)(8 - 2x)x = 2 × 2x(6 - x)(4 - x) = 4x(6 - x)(4 - x)
Find the area of the triangle with vertices: Q(-5,5,-3), R(-6,8,-4), S(-8,2,-4).
Answer:
3.16 square units
Step-by-step explanation:
Find the area of the triangle with vertices: Q(-5,5,-3), R(-6,8,-4), S(-8,2,-4).
Step 1
We find QR and QS
QR = R - Q
= R(-6,8,-4) - Q(-5,5,-3)
= (-1, 3, -1)
QS = S - Q
= S(-8,2,-4) - Q(-5,5,-3)
= (-3, -3, -1)
Step 2
QR × QS
(-1, 3, -1) × (-3, -3, -1)
Using the formula:
a x b = (a2b3 – a3b2)i + (a3b1 – a1b3)j + (a1b2 – a2b1)k
Where a = (a1, a2, a3)
b = (b1, b2, b3)
QR = a
QS = b
(-1, 3, -1) × (-3, -3, -1)
a x b = (a2b3 – a3b2)i + (a3b1 – a1b3)j + (a1b2 – a2b1)k
= ((3 × -1) – (-1×-3))i + ((-1)×-3) – (-1) × -1)j + (-1 × -3) – (3×-3)k
= (-3 - 3)i + (3 – 1)j + (3 – 9)k
= 0i + 2j - 6k = (0,2,-6)
QR × QS = (0,2,-6)
Area of the triangle = √0² + 2² + 6²/ 2
= √0 + 4 + 36/2
= √40/2
= 6.324555320336759 /2
3.1622776602 square units
Approximately = 3.16 square units
Give a brief definition of the term descriptive statistics.
Step-by-step explanation:
what is Descriptive statistics?
Descriptive statistics involve the use of fundamental information from a dataset to make a summary, general, or overview report of the information from the given data. in descriptive statistics, results are collected from data directly without making direct inference
with descriptive statistics, you are simply describing what is or what the data shows
How important is descriptive statistics?
Descriptive statistics aids in the presentation of data in a precise, understandable manner, which allows a simpler interpretation of the data.
hence with descriptive statistics storytelling for data becomes very easy as we can visualize results and make reports through Descriptive statistic
Solve 7x-3+3x=4(4x-1)-5
Answer:
x=1
Step-by-step explanation:
Answer:
6=6x (x=1)
Step-by-step explanation:
7x-3+3x=4 (4x-1)-5
7x-3+3x=16x-4-2
So I have just multiplied out the brackets on the right side 4×4x and 4×1.
7x+3x=16x-4-2
Here I have just added the -3 from the left onto the right changing it to a positive and onto the -5 therefore getting -2.
10x=16x-3
Now I just added the numbers together on each side like 7x+3x and -4-2.
10x+6=16x
This is just moving the -6 onto the left side so we get a positive 6.
6=6x
I have simply done 16-10.
Find the remaining trigonometric ratios. tan(α) = 2, 0<α<π/2the responses they want are:1. sine(α)=_2. cos(α)=_3. cot(α)=_4. sec(α)=_5. csc(α)=_
Answer:
1. sinα = +2√5/5 2. cosα = +√5/5 3. cotα = +1/2 4. secα = +√5 5. cosecα = +√5/2.
Step-by-step explanation:
1. Since tan(α) = 2 and 1 + cot²α = cosec²α
1 + 1/tan²α = 1/sin²α
1 + 1/2² = 1/sin²α
1 + 1/4 = 1/sin²α
5/4 = 1/sin²α
sinα = ±√(4/5)
sinα = ±2/√5
sinα = ±2√5/5
Since 0<α<π/2, sinα = +2√5/5
2. sin²α + cos²α = 1
(2/√5)² + cos²α = 1
4/5 + cos²α = 1
cos²α = 1 - 4/5
cos²α = 1/5
cosα = ±1/√5
cosα = ±√5/5
Since 0<α<π/2, cosα = +√5/5
3. cotα = 1/tanα = 1/2
Since 0<α<π/2, cotα = +1/2
4. secα = 1/cosα = 1/±1/√5 = ±√5
Since 0<α<π/2, secα = +√5
5. cosecα = 1/sinα = 1/±2/√5 = ±√5/2
Since 0<α<π/2, cosecα = +√5/2
Help me with this one too
Answer:
2 + 8 -7 = 3
Hope it helps.......