Answer:
factors are
21 and x
Step-by-step explanation:
equation 9 × 2 + 21x - 18
terms 9 , 2, 21x, -18
factors 21x = 21 and x
Answer:
3(x + 3)(3x - 2)
Step-by-step explanation:
Given
9x² + 21x - 18 ← factor out 3 from each term
= 3(3x² + 7x - 6) ← factor the quadratic
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 × - 6 = - 18 and sum = + 7
The factors are + 9 and - 2
Use these factors to split the x- term
3x² + 9x - 2x - 6 ( factor first/second and third/fourth terms )
3x(x + 3) - 2(x + 3) ← factor out (x + 3) from each term
(x + 3)(3x - 2)
Then
9x² + 21x - 18 = 3(x + 3)(3x - 2) ← in factored form
use the information in the diagram, set up a proportion to solve for the height of the tree
Answer:
Step-by-step explanation:
There are a couple of ways you could solve this problem. B is one of them.
The correct answer is going to be Small hypotenuse / Large hypotenuse = tree / building height
Let the tree equal x
100/220 = x / 176 Multiply both sides by 176
100 * 176 / 220 = x
x = 80
Notice that 80 is almost 1/2 of 176 so the answer should be right since 100 is nearly 1/2 of 220
Raegan needs 2 boards to make a shelf one board is 1 1/2 m long and the other is 3 1/2 m long what is the total length of the shelf
Answer:
5 m
Step-by-step explanation:
Find the total length of the shelf by adding together the lengths of the two boards:
1 1/2 + 3 1/2
= 5
So, the total length of the shelf is 5 m
Will Mark brainlest !please help. (The probabilty of germenating a new flower seed is found to be 0.92,if you sow a packet of 500 seeds in the field ,how many seeds will you expect to be germinated)
Answer: 0. 92 = 92%
100% = 500
92% = 500 × 92/100 = 460
Step-by-step explanation:
Mary's Mum said she would pay 2/5 of the cost of
her new dress. If the dress cost £165, how much
money did Mary have to pay?
HELPPP
Answer:
66 dollars im pretty sure
Step-by-step explanation:
Daniel expanded the expression as shown.
What errors did he make? Select three options.
Answer:
Below.
Step-by-step explanation:
The second term should be positive.
The last term should be -1 1/2 not -1 1/4.
He did not correctly multiply -8 and -2.
Answer:
b,c,d
Step-by-step explanation:
(.*_*)hope this helps(- _-.)
Which system of inequalities is shown in the graph?
&
A. y 2 X+1
yzx-3x
B. ys X+1
ys 2-3x
O C. ys x+1
yz x2-3x
O D. ys-x+1
ysx2-3x
Answer:
A
Step-by-step explanation:
because when i dentify graph theres y an x
The feasible region of the result is defined by the system of inequalities.
Correct response:
The system of inequalities shown in the graph is given by the option B.
B. y ≤ x + 1
y ≤ x² - 3·x
Methods used to find the system of inequalitiesPlease find attached the possible graph of the inequality
The possible graph obtained from a similar question has a straight line portion and a quadratic portion.
Points on the straight line are; (0, 1), (3, 4), and (5, 6)
Therefore;
[tex]Slope \ of \ the \ line = \dfrac{6 - 1}{5 - 0} = 1[/tex]
Equation of the line is; y - 1 = 1 × x
Therefore;
y = x + 1
The shaded region is below the line which gives;
y ≤ x + 1Points on the quadratic graph are; (0, 0), (4, 4), and (2, -2).
The general form of a quadratic equation is; y = a·x² + b·x + c
Therefore, we have;
0 = a × 0 + b × 0 + c
Which gives;
c = 0
4 = a × 4² + b × 4 = 16·a + 4·b
-2 = a × 2² + b × 2 = 4·a + 2·b
4 = 16·a + 4·b...(1)
-2 = 4·a + 2·b...(2)
Multiplying equation (2) by 2 and subtracting from equation (1) gives;
2 × -2 = 2 × (4·a + 2·b) = 8·a + 4·b
-4 = 8·a + 4·b
4 - (-4) = 16·a + 4·b - (8·a + 4·b) = 8·a
8 = 8·a
[tex]a = \dfrac{8 }{8} = 1[/tex]
a = 1
-2 = 4 × 1 + 2·b
2·b = -2 - 4 = -6
[tex]b = \dfrac{-6}{2} = \mathbf{ -3}[/tex]
Which gives;
y = 1·x² - 3·x = x² - 3·x
The line is a solid line and shaded region is the region under the graph which gives;
y ≤ x² - 3·xTherefore;
The inequalities in the graph are given by option B.
B. y ≤ x + 1
y ≤ x² - 3·x
Learn more about graph of inequalities here:
https://brainly.com/question/6749279
Please i need the correct answer, no funny business.
Answer:
Age of the spear head = 6349 years.
Step-by-step explanation:
Expression to be used to calculate the age of the spear head,
[tex]N_t=N_0e^{-kt}[/tex]
Here, [tex]N_t[/tex] = Final amount of C-14
[tex]N_0[/tex] = Initial amount
[tex]k[/tex] = 0.0001
[tex]t[/tex] = Time in years
If [tex]N_t[/tex] = 53% of [tex]N_0[/tex] = [tex]N_0\times (0.53)[/tex]
[tex]0.53N_0=N_0e^{-0.0001\times t}[/tex]
[tex]0.53=e^{-0.0001t}[/tex]
[tex]\text{ln}(0.53)=\text{ln}(e^{-0.0001t})[/tex]
[tex]-0.634878=(-0.0001)t[/tex]
[tex]t=6348.78[/tex] years
[tex]t[/tex] ≈ [tex]6349[/tex] years
Therefore, age of the spear head = 6349 years.
Determine whether the mapping is a relation or a function or neither.
the 4th awnser was cannot be determined
Answer:
The answer is not a function
Step-by-step explanation:
I think at least
Consecutive numbers are whole numbers that follow in order such as 7, 8, 9, 10, and so forth. Suppose the average of 15 consecutive numbers is 15. What is the average of the first five numbers of the set?
Answer:
10
Step-by-step explanation:
First, we need to find the sum of the 15 consecutive numbers. The formula to finding the average of a set of numbers is the sum of the terms divided by the number of terms. So to find the sum, you do 15x15 because the average is 15 and there are 15 numbers. 15x15=225, so you know the sum of the consecutive numbers is 225. Let X be equal to the first consecutive number of the 15 consecutive numbers.
X+(X+1)+(X+2)+(X+3)....+(X+14)=225
=15X+(105)=225
=15X=225-105
=15X=120
=X=8
So the first consecutive number of the 15 is 8. Therefore, the second consecutive number is 9, the third is 10, and so on. The question asks for the average of the first five numbers, which is 8, 9, 10, 11, and 12.
The summation formula is [tex]S=(\alpha_{1}+\alpha_{n})\frac{n}{2\\}[/tex].
[tex]S=(\alpha_{1}+\alpha_{n})\frac{n}{2\\}\\ S=(8+12)\frac{5}{2}\\ S=(20)2.5\\ S=50[/tex]
So the sum of the first five consecutive numbers is 50. Since there are 5 numbers, you do 50÷5=10. Therefore, the answer is 10.
What is the device that converts the signals to and from the wires so that the data can be sent and received by the computer?
A
domain name system
B
network
C
router
D
IP address
Answer:
C router
Step-by-step explanation:
A router is a networking device whcich takes and forwards the packages and performs traffic functions. Data that is sent through the internet such as web page and email. All are forwarded through this device to the internet. A router may be connected to the IP Address network and reads the packet before sending it to its destination.2. Dentre as formas de representar um número decimal, a mais comum é a que utiliza vírgula. Valor como 0,25 está presente nos comércios, nos hospitais, nas lanchonetes e em muitos outros lugares. Esse valor também pode ser representado por A. ( ) 25/10 B. ( ) 1/4 C. ( )1/25 D. ( ) 1/25
Answer:
B: 0.25 = 1/4
Step-by-step explanation:
Queremos encontrar otra representación del número 0.25
Notar que hay dos decimales luego de la coma, por lo que podemos multiplicar este número y dividir por 100.
0.25 = 0.25*1 = 0.25*(100/100) = (0.25*100)/(100) = 25/100
Ahora tenemos el número escrito como una fracción, la cual debemos simplificar.
25/100
Podemos ver que tanto el numerador como el denominador son multiplos de 5, por lo que podemos dividir ambos por 5:
25/100 = (25/5)/(100/5) = 5/20
Nuevamente, ambos son multiplos de 5, por lo que podemos dividir ambos por 5.
5/20 = (5/5)/(20/5) = 1/4
así tenemos:
0.25 = 25/100 = 5/20 = 1/4
0.25 = 1/4
La opción correcta es B.
Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −34?
Parallel Perpendicular Neither
Line M, with slope3/4 Line N, with slope 4/3 Line P, with slope -4/3 Line Q, with slope -3/4
Given:
The slope of a line is [tex]-\dfrac{3}{4}[/tex].
To find:
The lines in the options are parallel, perpendicular or neither parallel nor perpendicular to the given line.
Solution:
We know that the slopes of parallel lines are equal.
The slope of line Q and the slope of given line are same, i.e., [tex]-\dfrac{3}{4}[/tex]. So, the line Q is parallel to the given line.
The slope of a perpendicular line is the opposite reciprocal of the slope of the line because the product of slopes of two perpendicular lines is -1.
The slope of a line is [tex]-\dfrac{3}{4}[/tex]. It means the slope of the perpendicular line must be [tex]\dfrac{4}{3}[/tex]. So, the line N is perpendicular to the given line.
The slopes of line M and P are neither equal to the slope of the given line nor opposite reciprocal of the slope of the line.
Therefore, the lines M and P are neither parallel nor perpendicular.
A store bought a tent for $230 and marked it up 65% The store sells the tent with the 8% tax what is the total cost of the tent
Answer:
$409.86
Step-by-step explanation:
To find the price after marking it up, 230 x 0.65 = 149.5
230 + 149.5 = 379.5
Usually we add tax after the discount/markup.
379.5 x 0.08 = 30.36
379.5 + 30.36 = $409.86
Hope this helps!
solve for x,ty!
No links
Answer:
Step-by-step explanation:
[tex]\frac{-3x}{2}[/tex] = 5
multiply both sides by 2
2 ( [tex]\frac{-3x}{2}[/tex] = 5 )
-3x = 10
divide both sides by [tex]\frac{-1}{3}[/tex]
[tex]\frac{-1}{3}[/tex] ( -3x = 10 )
x = [tex]\frac{-10}{3}[/tex]
got it?
Answer:
x = -10/3
Step-by-step explanation:
2(-3x/2) = (5)2
-3x = 10
----- ---
-3 -3
x = -10/3
find the area of each triangle. Round intermediate values to the nearest tenth. use the rounded values to calculate the next value. Round your final answer to the nearest tenth, someone help me pelaseeeee!!!!
Answer:
54? or 5.4 I not really sure but I tried my best
For summer school do u only go for the class you failed or all the classes you took that year?
Answer:
I am not sure.
Step-by-step explanation:
I've never been to summer school so- :/
The front of the stage, side C , is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the side of a square A. Is the ropped off area, triangle ABC, a right triangle? Explain.
Answer: yes, because any triangle with the ratio of whole number 3:4:5 is a right triangle
Step-by-step explanation:
help please! also an explanation would be helpful
There are two shapes a rectangle and a triangle.
Area of a rectangle = Length x width = 10 x 8 = 80 square ft.
Area of triangle = 1/2 x base x height = 1/2 x 6 x 8 = 24 square ft.
Total area = rectangle + triangle = 80 + 24 = 104 square ft.
Answer 104 square ft.
Answer:
104 ft^2
Step-by-step explanation:
First find the area of the rectangle
A = l*w = 10*8 = 80
Then find the are of the triangle
A = 1/2 bh = 1/2 (6) * 8 = 24
Add the areas together
80+24 = 104
When a coin and die are tossed together find the probability of getting:
a)coin with head and die with prime number
b)coin with head and die with composite number
c)coin with tail and die with even prime number
Answer:
a) 1/4
b) 1/6
c) 1/12
Step-by-step explanation:
Let S be the sample space.
S={H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6}
n(s) =12
Events
A: coin with head and die with prime number .
B:coin with head and die with composite number.
C:coin with tail and die with even prime number.
a) A={H2,H3,H5}
n(A) = 3
P(A) =n(A)/n(S)
=3/12
= 1/4
b) B={H4,H6}
n(B)= 2
P(B) = n(B)/n(S)
= 2/12
= 1/6
c) C ={T2}
n(C) = 1
P(C) = n(C)/n(S)
= 1/12
Please help me solve this problem
stuck on a maths question please help with an explanation thank you stay safe :)
======================================================
Explanation:
He answered 5/7 of the 35 short-answer questions correctly. So he got (5/7)*35 = 25 of those questions correct. At 2 marks each for these questions, he earned 25*2 = 50 points from this group alone.
There are 35 short-answer questions and 15 long-answer questions. That's 35+15 = 50 questions total.
We're told that he answered 60% of all the questions correctly. So he answered 0.60*50 = 30 questions correctly.
Earlier we found that he answered 25 short-answer questions, which must mean he got 30-25 = 5 long-answer questions done correctly. At 4 marks a piece, Keith earns 5*4 = 20 points in this group.
So overall, he earned 50+20 = 70 points from both types of questions.
---------------------
If he got all answers correct, then he would earn 35*2 = 70 points from the short-answer questions and 15*4 = 60 points from the long-answer questions. That's a total of 70+60 = 130 points to get a perfect score.
The ratio of his score to the perfect score is 70:130 which reduces to 7:13 when dividing both parts by the GCF 10.
9514 1404 393
Answer:
70/130 . . . . reduces to 7/13
Step-by-step explanation:
StrategyThe problem statement describes 2 kinds of quiz questions, and different relations regarding the numbers of questions answered correctly. The problem asks for the number of marks Keith had relative to the total number of marks.
This means you need to find Keith's marks and the available marks for each question type (4 numbers).
Because of the way the problem tells you the number of long-answer questions answered, additional computations are required to find the total number of questions Keith answered and the number of short-answer questions Keith answered. (The difference of these is the number of long-answer questions answered.) That's 3 more computations.
You have to keep in mind the purpose of each computation and how it fits in to the final result. This is why we label the intermediate results.
SolutionShort Answer Marks
There were 35 short-answer questions for 2 marks each. That's a total of ...
(35)(2) = 70 . . . . marks for all short-answer questions
Keith got 5/7 of those, so got ...
(5/7)×70 = 50 . . . . Keith's marks for short-answer questions.
__
Long Answer Marks
There were 15 long-answer questions for 4 marks each. That's a total of ...
(15)(4) = 60 . . . . marks for all long-answer questions
The total number of questions on the quiz was 35 +15 = 50. Keith answered 60% of them, so answered ...
0.60×50 = 30 . . . . total number of questions Keith answered
We know Keith answered (5/7)(35) = 25 short-answer questions, so must have answered 30-25 = 5 long-answer questions. His marks for those were ...
(5)(4) = 20 . . . . Keith's marks for long-answer questions
__
Total Marks
Then the total number of marks for all answers on the quiz is ...
short marks + long marks = 70 +60 = 130 . . . available marks
And Keith's overall score was ...
(Keith's short marks + Keith's long marks)/(available marks)
= (50 +20)/130 = 70/130 . . . . Keith's score ratio for the quiz
help me with this math question
Answer:3
Step-by-step explanation:
Just count from -1 to positive 2 the dot doesn’t move
I need to know the transformation of the shape
Answer:
is there anything underneath it? it says which of the following
Step-by-step explanation:
factor x^2-3x-28 using the x method
Answer:
[tex] {x}^{2} - 7x + 4x - 28 \\ = x(x - 7) + 4(x - 7) \\ = (x - 7)(x + 4)[/tex]
in 1990 sausage cost an average of $2.42 per pound. In 1994 it cost 51.35 per pound. What was the percent of depreciation (percent of decrease)?
*(show your work)*
Answer:
Cumulative price change 105.96%
Average inflation rate 2.36%
Converted amount ($100 base) $205.96
Price difference ($100 base) $105.96
CPI in 1990 130.700
Step-by-step explanation:
Please help!!!!!!!!!!!!!!
Answer:
choice A is the answer
Step-by-step explanation:
[tex]5 + 2.75s \leqslant 21 \\ 2.75s \leqslant 21 - 5 \\ s \leqslant 16 \div 2.75 \\ s \leqslant 5.82[/tex]
but since we only can have a whole number in the number of stops, she can only travel 5 stops with the money she has.
The graph of a function is shown.
What is the maximum value of the function?
Answer:
3
Step-by-step explanation:
The maximum value of the function is 3.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The maximum value of a function is the highest output value that the function can attain over its entire domain.
Now,
From the graph,
The y-values are called the output.
The y-value is from -∞ to 3 and 3 to -∞.
This means,
The range of the function is -∞ to 3 and 3 to -∞.
Now,
The highest output is 3.
Thus,
The maximum value of the function is 3.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
how to do?? helppppp
Answer:
x = - 3, x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
(2x - 1)(x + 3) = 0
Equate each factor to zero and solve for x
x + 3 = 0 → x = - 3
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
Answer:
x = 0.5 and -3
Step-by-step explanation:
(2x - 1)(x + 3) = 0
We are solving for the two x values (since this is a polynomial)
(2x-1) = 0/(x + 3)
2x - 1 = 0
2x = 1
x = 1/2 = 0.5
And the second x value
(x + 3) = 0 / (2x - 1)
x + 3 = 0
x = -3
Help on number 1 pls
Answer:
A
Step-by-step explanation:
5 is 50/1000, and 1/2% is equal to 5/1000
Answer:
A) 55/ 1,000
5 1/2% = 11 / 200 = 55/ 1,000
How far apart are -14 1/2 and 2 on the number line
