Answer:
0 and 1
Step-by-step explanation:
If a polynomial P(x) is divided by (x + h), then by the Remainder theorem
The remainder is the value of P(- h)
(1)
For P(x) divided by (x - 1) , then the remainder is P(1) = 0
(2)
For P(x) divided by (x + 2) then the remainder is P(- 2) = 1
y=-|x+3| domain and range
Answer:
the domain is that x is a set of real numbers.
the range is y ≤ -3
Step-by-step explanation:
y = -|x + 3|
y is either positive or equal to zero.
Now, x is all real numbers because any value of x used will yield a valid value of y.
Thus, we can say that the domain is that x is a set of real numbers.
Now, for the range:
The minus sign in front of the absolute value indicates that the function has a maximum value.
Thus, the range is y ≤ -3
The graph shows the level of ibuprofen, y units, in a patient’s bloodstream x hours after the ibuprofen was taken. Select the correct answer to complete the blanks in the sentence: "The level of ibuprofen in the patient's bloodstream increased from _____ hours to _____ hours."
The graph is missing, so i have attached it.
Answer:
From 0 hours to 2 hours.
Step-by-step explanation:
From the attached graph, we can see that on the y-axis, denotes the level of ibuprofen in the patient’s bloodstream while the x-axis denotes the amount of hours after the ibuprofen was taken.
Now, looking at the graph, we can see that the curve goes up from a time of 0 hours which corresponds to 0 mg of ibuprofen to a time of 2 hours which corresponds to 400 mg of ibuprofen.
After that point, the curve begins to to go down. Since we are concerned with increase, we will make do with the first statement.
Thus, we can say the period at which the level of ibuprofen increased was from 0 hours to 2 hours.
Round each addend to the nearest whole number and estimate the sum.
19.43 + 11.5 + 3.08
35
36
33
34
Step-by-step explanation:
a fraction of it and the regular answer it is 33.
Answer:
34
Step-by-step explanation:
19.43 will round to 19
11.5 will round to 12 and
3.08 will round to 3
I hope this helps
The table shows the scores for four students on a math test. Who earned the highest grade?
Student. Score
Jim 17/20
Sarah. 84%
Ben. 0.86
Mary. 22:25
A.Jim
B. Sarah
C. Ben
D. Mary. Help please
3x+2=2x+7 what is x lol why I need 20 characters anyway help
Answer:
5
Step-by-step explanation:
3x-2x=7-2
x=5
simplify 4(x + 2y)-(3x-8y)
Answer: x + 16y
Step-by-step explanation:
multiply 4 to x+ 2y
4x + 8y - 3x + 8y (open the bracket)
x + 16y
Answer:
x+16y
Step-by-step explanation:
4(x+2y)-(3x-8y)
we open the brackets and the sign of the second bracket changes
4x+8y-3x+8y
we group x's and y's
x+16y
The solution of 12 + 2x – x = 9x + 28
Answer:
x = -2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
7x-7=2x-1 what is x please help
Answer:
x= 1.2
Step-by-step explanation:
Step 1: Subtract 2x from both sides.
Step 2: Add 7 to both sides.
Step 3: Divide both sides by 5.
Hope this helped :)
Answer:
7x+=2x-1
7x+2x=7+1
9x=8
x=9-8
x=1
Find the HCF and LCM of 28 and 40
Step-by-step explanation:
The HCF of 28 and 40 is 4, and the LCM is 280.
Step-by-step explanation:
this is the answer..........
how do find M and N
Answer:
option D
Step-by-step explanation:
In the right angled triangle , one vertex angle is 60° . The other vertex angle will be = 180 - (90+60) = 30°
Hypotenuse = m ; Perpendicular = n ; Base = 4
Side opposite to 60° = Base
Side adjacent to 60° = Perpendicular
Side opposite to 30° = Perpendicular
Side adjacent to 30° = Base
So,
[tex] \sin(60) = \frac{opposite}{hypotenuse} = \frac{4}{m} [/tex]
[tex] = > \frac{ \sqrt{3} }{2} = \frac{4}{m} [/tex]
[tex] = > m = \frac{4 \times 2}{ \sqrt{3} } = \frac{8}{ \sqrt{3} } [/tex]
Rationalising the value of m gives [tex] \frac{8 \sqrt{3} }{3} [/tex]
Also,
[tex] \tan(30) = \frac{opposite}{adjacent} = \frac{n}{4} [/tex]
[tex] = > \frac{1}{ \sqrt{3} } = \frac{n}{4} [/tex]
[tex] = > n = \frac{4}{ \sqrt{3} } [/tex]
Rationalising the value of n gives [tex] \frac{4 \sqrt{3} }{3} [/tex]
The ground temperature at an airport is 11 °C. The temperature decreases by 6.4 °C for every increase of 1 kilometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?
Answer:
-21°C
Step-by-step explanation:
Since the plane is flying at an altitude of 5 kilometers, then we have to multiply 6.4 by each kilometer that the plane's altitude increased (5). After that, we will end up with 32°C that we have to subtract from the ground temperature of 11°C. Once we do that, we get -21°C which means that the temperature at an altitude of 5 kilometers is -21°C.
(sorry if this is confusing but I hope this helped)
PLEASE HELP ME WITH THIS!! WRITE DOWN BELOW WHAT I CAN PUT INTO THIS QUESTION PLEASE! I WILL BE COPYING AND PASTING YOUR RESPONSE ONTO THE ANSWER BOX
6-√8 divide √2-1
this is rationalising surd question I did it and my answer is not right so could someone do this to me and show your working out
thanks
Answer:
4[tex]\sqrt{2}[/tex] +2
Step-by-step explanation:
[tex]\frac{6-\sqrt{8}}{\sqrt{2}-1}[/tex]
=[tex]\frac{6-\sqrt{8}}{\sqrt{2}-1}[/tex] ×[tex]\frac{\sqrt{2}+1}{\sqrt{2}+1}[/tex]
=[tex]\frac{(6-\sqrt{8})(\sqrt{2}+1)}{2-1}[/tex]
=6[tex]\sqrt{2}[/tex] + 6 -[tex]\sqrt{8}\sqrt{2}[/tex] - [tex]\sqrt{8}[/tex]
=6[tex]\sqrt{2}[/tex] + 6 - 4 - [tex]\sqrt{8}[/tex]
=6[tex]\sqrt{2}[/tex] + 2 - [tex]\sqrt{8}[/tex]
=6[tex]\sqrt{2}[/tex] + 2 - 2
=4[tex]\sqrt{2}[/tex] +2
for [tex]\sqrt{8}[/tex] = 2[tex]\sqrt{2}[/tex] ,
[tex]\sqrt{8}[/tex] = [tex]\sqrt{2*2*2}[/tex]
= ([tex]\sqrt{2}[/tex])^2 × [tex]\sqrt{2}[/tex]
=2 ×[tex]\sqrt{2}[/tex]
Notes ...
The supporters at a wrestling tournament either supported the home team or the visiting
teams. 45% of the supporters cheered for the visiting tearns and 55% of the supporters
cheered for the home team. If the total number of people attending the tournament was
1200, how many people were supporters of the visiting teams at the wrestling
tournament?
X=45
55-1200
Practic...
Margaret is completing a lifeguard course and is completing the test at the end of the
course. There are 75 total questions that she needs to complete and she is 36% complete.
How many more cuestions does she need to complete
Q
Answer:
Step-by-step explanation:
For your first question,
Total percentage of people cheering for visiting team = 45%
Total percentage of people cheering for home team = 55%
Total number of people cheering = 1200
Therefore, the number of people cheering for visiting team = 45% of 1200
= [tex]\frac{45}{100}[/tex] × 1200
= 45 × 12
= 540 people
For your second question,
Total number of questions = 75
Total percentage of the number of questions he completed = 36%
Percentage of the amount of questions left = 100 - 36 = 64%
Therefore, the number of questions left to complete = 64% of 75
= [tex]\frac{64}{100}[/tex] × 75
= [tex]\frac{64}{20}[/tex] × 15
= [tex]\frac{64}{4}[/tex] × 3
= 16 × 3
= 48 questions are left
An insurance company receives nine claims per week, on average. Use this information to answer the next two questions. What is the probability that exactly 7 claims will be received in one week
Answer:
P(X = 7) = 0.11712
Step-by-step explanation:
From the information given:
Average no. of claims received per week λ = 9
The required probability that exactly 7 claims will be received is determined by applying the Poisson distribution formula:
[tex]P(X=x) = \dfrac{\lambda ^x e^{-\lambda}}{x!}[/tex]
[tex]P(X=7) = \dfrac{9 ^7 e^{-9}}{7!}[/tex]
[tex]P(X=7) = \dfrac{4782969 \times1.23409804 \times 10^{-4}}{5040}[/tex]
[tex]P(X=7) = \dfrac{590.2652672}{5040}[/tex]
P(X = 7) = 0.11712
A tablet that regularly sells for $330 was on sale for 15% off. If Jeremiah paid $302.94 total including tax, what is the sales tax
Answer:
8% sales tax
Step-by-step explanation:
$330 x .15 = $49.50
$330 - $49.50 = $280.50
$302.94 - $280.50 = $22.44
$22.44/$280.50 = .08 x 100 x 8%
n/32 = 1/16
Please select the best answer from the choices provided.
A: n = 1/2
B: n = 4
C: n = 2
D: n = 12
Answer:
2 is the correct answer dood
Answer:
c) n=2
Step-by-step explanation:
Of 15 possible books, you plan to take 7 with you on vacation. How many different collections of 7 books can you take?
The number of collections of 7 books can you take is 1685.
What is Algebra?
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
Total books= 15
n = 15 (the number of possible books) and r = 7 (the number of books to be taken).
Now,
To find the number of different collections of 7 books, we can use the formula for combinations. Combinations are ways of selecting items from a collection, such that the order of selection does not matter.
The formula for combinations is:
nCr = n! / (r! (n - r)!)
where n is the number of items in the collection, r is the number of items to be selected, and ! is the factorial operator.
We can plug these values into the formula:
15C7 = 15! / (7! (15 - 7)!)
= 15! / (7! 8!)
= (15 x 14 x 13 x 12 x 11 x 10 x 9 x 8!) / (7! 8!)
= (15 x 14 x 13 x 12 x 11 x 10 x 9) / (7 x 6 x 5 x 4 x 3 x 2 x 1)
= (6435 x 1320) / (5040)
= 8491770 / 5040
= 1685.25
Since we cannot have a fraction of a collection, we round down to get the final answer:
15C7 = 1685
Therefor, by algebra the answer will be 1685.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
Indicate a general rule for the nh term of this sequence.
12a, 15a, 18a, 21a, 24a,...
Answer:
The general rule for the nth term of this sequence will be:
[tex]a_n=3na+9a[/tex]
Step-by-step explanation:
Given the sequence
12a, 15a, 18a, 21a, 24a,...
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
Here,
a₁ = 12a
computing the differences of all the adjacent terms
d = 15a-12a = 3a, d = 18a-15a=3a, d=21a-18a=3a, d=24a-21a=3a
using the nth term formula
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting a₁ = 12a, d = 3a
[tex]a_n=12a+\left(n-1\right)3a[/tex]
[tex]=12a+3na-3a[/tex]
[tex]=3na+9a[/tex]
Therefore, the general rule for the nth term of this sequence will be:
[tex]a_n=3na+9a[/tex]
X + 7/8 = 23/8
They are fractions
Please help
Answer:
X=2
Step-by-step explanation:
Please mark brainliest.
Answer:
x=2
subtract 7/8 from both of the sides
x= 23/8-7/8
Simplify 23/8 - 7/8 to 2
x=2
A certain CD has a mass of 10 grams. How many of these CDs would you need to equal a total mass of 2 kg?
write the number of CDs needed in the box.
Answer:
200 CDs
Step-by-step explanation:
1000 g = 1 kg
2 kg = 2000 g
2000 / 10 = 200 CDs :D
Label the following graph as vertical or horizontal:
x = –2
A.
Circle
B.
Horizontal
C.
Vertical
D.
Curved
I give brainliest
Which of the following sets of ordered pairs represent functions? Select all.
A. (0,3), (1,4), (2,5), (1,6), (0,7)
B.(-2,0), (0.1), (2.2), (4,3), (6,4)
C. (2,4), (0,2), (2,0). (0,-2), (2,-4)
D. (3,-2), (4, -3), (5,-4), (6,-5)
E. (3,-2).(-2,3), (4, -1) (-1, 4)
If average of 3 quantities is 15 , sum of quantities is....?
Step-by-step explanation:
Sum of quantities = Average of quantities * Number of quantities = 15 * 3 = 45.
Answer:
45
Step-by-step explanation:
Average = Sum of quantities / Number of quantities
15 = Sum / 3
Sum = 45
what are you finding when you are asked what is 60% of 175? the part, the whole or the precent
Answer:
105 is the part.
Step-by-step explanation:
175 is the whole
60% is the percent
x is the part
175 * 0.60 = 105
A bank advertises that they will pay 1.5% simple annual interest on new savings accounts. Lorenzo puts $400 in a new account. If he does not deposit or withdraw any money, how much will he have altogether after one year?
Answer:
$406
Step-by-step explanation:
The formula for simple interest is I=prtI=prt where II is the amount of interest earned, pp is the initial deposit, rr is the annual interest rate, and tt is the number of years.
It is given that he deposits p=$400p=$400, the bank pays r=1.5%= 0.015r=1.5%=0.015 in annual interest, and t=1t=1 year. The amount of interest he will earn is then I=prt=400(0.015)(1)=$6I=prt=400(0.015)(1)=$6.
His total balance after one year will then be p+i=$400+$6=$406p+i=$400+$6=
$406
.
What is the domain of the function y=2 /X-6? EXCO o osx
Answer:
last option
[tex]6 \leqslant x < \infty [/tex]
Had three thfk DJ back finding
H=156-8t-16t^2 in seconds
Answer:If you use quadratic formula the answer is (rounded) 2.88s
Step-by-step explanation:
Answer:
2.882491 seconds
Step-by-step explanation:
H=156-8t-16t²
-16t²-8t+156=0
16t²+8t-156=0
4t²+2t-39=0
t=2.882491 seconds ................
I need help on this question
Answer: Capitalism
Step-by-step explanation:
hope it helps