x^2 - 4x + 3 = 0
Factor the left side.
What two numbers when multiplied yield 3 but when added yield the middle coefficient -4?
How about -1 times -3?
Yes, (-1)(-3) is 3 but when added yield -4.
(x - 3)(x - 1) = 0
Set each factor to 0 and solve for x.
x - 3 = 0
x = 3
x - 1 = 0
x = 1
The word root is just another word for solution or the zero of a polynomial.
Answer: x = 1 or x = 3 are the roots.
Three charges are located at the vertices of a triangle, as shown. An isosceles triangle lying on its side. The two charges at the corners of the base of the isosceles triangle are labeled +5 C and +10 C. The top of the triangle is labeled +4 C with 4 vectors from it. The one east is labeled Y, the one west is labeled W, the one northeast is labeled X and the one southeast is labeled Z. Which vector best represents the net force acting on the +4 C charge in the diagram? W X Y Z
Answer:
y
Step-by-step explanation:
Evaluate 3x + 4y when x = 2 and y = 5
Answer:
26
Step-by-step explanation:
3*2+4*5=6+20=26
The value v of your quarters in cents) is a function of n, the number of quarters you have.
a. Give 2 input-output pairs that represent this function.
b. Write an equation that represents this function.
c. Find the output when the input is 10.
d. Identify the independent and dependent variables.
Answer:
a) (2, 0.5) (4, 1)
b) V(n) = 0.25n
c) $2.50
d) # quarters = independent
value = dependent
Step-by-step explanation:
The independent value is the number of quarters and the dependent variable is the value of cents and the equation that represents this function is,
[tex]v(n)=25\times n\rm \;\;cents[/tex]
How to write algebraic expression?Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used to represent the general problem in the mathematical way to solve them.
Steps to write down the simple algebraic expression-
Identify all the factors of the expression.Assume a variable for the changing values.Put a coefficient for the variable, if there is any rate of change of variable.Use constant numbers for the fixed values.a. Give 2 input-output pairs that represent this function.
There is total 25 cent is 1 quarter. Thus, when if there are 2 quarters, then the value of cent is 50 and when there are 4 quarters, then the value of cents is 100 cents.
Hence, the two pairs should be as,
(2, 50), (4, 100)
b. Write an equation that represents this function.As, v is the value of quarters in cents. There is total 25 cent is 1 quarter. The total quarter is n. Thus, the function can be given as,
[tex]v(n)=25\times n\rm \;\;cents[/tex]
c. Find the output when the input is 10.Put the value 10 on the place of n in the above equation as,
[tex]v(10)=25\times (10)\\v(10)=250\rm cents[/tex]
The output when the input is 10 is 250 cents.
d. Identify the independent and dependent variables.The independent value is the number of quarters and the dependent variable is the value of cents.
Hence, the independent value is the number of quarters and the dependent variable is the value of cents and the equation that represents this function is,
[tex]v(n)=25\times n\rm \;\;cents[/tex]
Learn more about the algebraic expression here;
https://brainly.com/question/2164351
James ran 3 kilometers after school. How many meters did James run?
Answer:
3000meters
Step-by-step explanation:
3×1000= 3000
Answer: 3000 Meters
Step-by-step explanation:
There are 1000 meters in a kilometer.
Multiply that by 3 and get 3000
PLEASE HELP TIMED!!!!
Factor the following expression: -4W + 32
Answer:
The answer is -4 ( W - 8 )
I hope this helps you
Answer:
-4(w-8)
at first when you look at it you know you cant add then because 32 have a variable but to get -4w+32 you will have to do -4(w-8)
hope that helped
Please help this is timed
Large Sugar cubes measure 1/2 inch on each edge. They fit into a rectangular container that is 2 inches long, 1 1/2 inches wide and 1 1/2 inches tall.
The volume of each cube is _____.
____ sugar cubes will fit into the container.
Step-by-step explanation:
multiple 1/2 × 2 × 1 1/2
you can download Desmo calculator or write down what you multiple neatly on a piece of paper and use photo math
The letters for the word SCHOOL are placed in a hat. What is the probability of drawing the letter o out of the hat?
Answer: 2/6 or 1/3
Step-by-step explanation:
SCHOOL has 6 letters in it and two O's. Therefore, it would be 2/6 or simplified it would be 1/3.
That was FUN!
What is the value of the digit 6 in this number? Write your answer in number form.
647,013,020
Answer:
6= six hundred million.Here is a story: Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each bag, she had 28 apples left.
Which diagram best represents the story? Explain why the diagram represents it.
What part of the story does
x
represent?
Describe how you would find the unknown amount in the story
Answer:
Let's define the variable x as the number of apples in each bag.
We know that she bought 4 bags, then the total number of apples that she has is:
Apples = 4*x
Now she eats one apple for each bag, then she eats 4 apples, so she now has:
Apples = 4*x - 4
And we know that this is equal to 28, then:
4*x - 4 = 28
now we can solve this for x.
4*x = 28 + 4 = 32
x = 32/4 = 8
x = 8
There are 8 apples in each bag.
For the diagram part, by a small online search y found the image that you can see below.
The diagram that correctly represents this situation is diagram C, where x represents the number of apples in each bag.
латна монтаж на работа
hmhoo.com/assem stessment HM Growth Measures
mco.com
Growth Measure Math | Welcome, HAILEE KNOTT
Ci
Save & Exit
Last week Marisol made $147 for working 12 hours at the local park district. How much money will Marisol make if she works 15 hours next weeka
$152.55
$172.50
$180.00
$183.75
77051
Sklo
Answer:
$183.75
Step-by-step explanation:
divide by 12 (hours)
147/12=12.25
multiply by 15 (hours)
12.25*15=183.75
Hope this helps! :)
Find an equation for the perpendicular bisector of the line segment who’s endpoints points are (-9,3) and (1,7).
Answer:
y = 2/5x + 33/5
Step-by-step explanation:
(-9,3) and (1,7)
m=(y2-y1)/(x2-x1)
m=(7-3)/(1+9)
m=4/10
m = 2/5
y - y1 = m(x - x1)
y - 3 = 2/5(x + 9)
y - 3 = 2/5x + 18/5
y = 2/5x + 33/5
What symbol makes the statement true?
4/6 3/8
Answer:
>
Step-by-step explanation:
because
16/24 > 9/24 :)
On a flight from San Diego to Baltimore 18 of 156 seats on empty. What is the ratio of filled seats to empty seats on the flight
Answer:
Step-by-step explanation:
Which is the rationalized form of the expression sqrtx/sqrtx+sqrt7
Answer:
(x - √7*√x) / (x - 7)
Step-by-step explanation:
I suppose your expression is √x / (√x + √7)
(√x * (√x - √7)) / ((√x + √7) * √x - √7)) = (√x * √x - √7 * √x) / (x - 7)
= (x - √7*√x) / (x - 7)
Answer:
Its A
Step-by-step explanation:
I just took the test on edge
can anyone solve please
Answer:
1) f = 16
2) h = 10
Step-by-step explanation:
all interior angles of a triangle add up to 180 degrees.
1) 46 + 67 + (4f+3) = 180
reduce:
4f+3 = 67
4f = 64
f = 16
2) 60 + 3h + 90 = 180
3h = 30
h = 10
Which of the following shows the extraneous solution to the logarithmic equation below?
2 log Subscript 5 Baseline (x + 1) = 2
x = negative 6
x = negative 4
x = negative 2
x = negative 1
Answer:
A.-6
Step-by-step explanation:
on edg
Answer:
A) -6
Step-by-step explanation:
The diameter of a cylinder is 26 yards. Find the volume of the cylinder, if it's height is 29 yards.
Answer:
15389.14
Step-by-step explanation:
You may need to round
4901 without pi
Betsy has $4.25 and her brother has $16.00 they want to buy two water guns that cost $12.99 each and a bag of water balloons that cost $4.79. Do they have enough money if so how much money will they have left over. If not how much more money will they need?
Answer:
No they don't have enough money, they need $10.52
Step-by-step explanation:
So first, you will add 4.25+ 16.00 = $20.25 < This is the amount they have.
Second, they want two water guns so 12.99 x 2 = 25.98 < This is the price for the water guns.
Then, add the price of the water ballons to the guns which is $30.77 < This is the cost for everything they want to buy.
Subtract $30.77 from $20.25 to recieve the answer of $10.52
Hope this helps!
please help
find the value of x in the isosceles triangle shown below.
Answer:
x = square root of 55
x^2 = 8^2 - 3^2
x^2= 64 -9
x = square root of 55
12) help pls I have the answer I just need to show the work
Which expression is correct for “y”?
Answer: A
Answer:
y = tan-1 (31/23)
Formula: SOHCAHTOA
TOA: tan = opposite/adjacent
31 / 23 = 1.3478
tan-1 of 1.3478 is 53.4264
53.4264 = 53 (rounding to the nearest degree)
y = 53 degrees
40+40×0+1
a) 1
b)41
c)82
??
Answer:
the law of bodmas multiplication first so
40+(40*0)+1
40+1
41
What is the answer for the wuesy
Answer:
22
Step-by-step explanation:
6 divided 6 equals 1 and 1 times 22 equals 22
Brainliest ?
63 is 75% of what number? Enter your answer in the box.
Answer:
n = 84
Step-by-step explanation:
63 = n x 3/4
n = 63 / (3/4)
n = 63 / 3 x 4
n = 21 x 4
n = 84
Hope that helps!
3(b + 8) = b + 48 PORFAVOR con plantamiento operacion y resultado, y de paso me explique el temas nsd9ucancuqna :( amaba matematicas. doy corona
Answer:
b=12
Step-by-step explanation:
3b +24= b +48
-24 -24
3b = b+ 24
-b -b
2b = 24
÷2 ÷2
b=12
3 and 4 guys! Please help! I suck at this
Answer
# 3 is D.(20) and #4 is D. ( The hourly rate charged by the locksmith)
Step-by-step explanation:
Hope that helped :)
please this is quiz due in a hour ill up the points
Answer:
DE and DF are equal to 2√2
Step-by-step explanation:
According to the 45-45-90 triangle rule, the hypotenuse is equal to the legs times √2, so in order to find the legs, you have to divide 4 by √2 to get 2√2.
find the nth tearm
-5 -2 3 10 19
Given :
The sequence is -5 , -2 , 3 , 10 , 19 .
To Find :
The nth term of the given sequence .
Solution :
Difference between first 2 terms :
-2 - ( -5 ) = 3 1 term
3 - ( -2 ) = 5 2 term
10 - 3 = 7 3 term
19 - 10 = 9 4 term
From the above observation we can say that difference is increasing in odd number .
So, the nth term will be :
[tex]a_{n+1}= -5 + (2n+1)[/tex] for n greater than equal to 0.
Hence, this is the required solution.
Skylar invested $3,100 in an account paying an interest rate of 3.3% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, , for the value of the account to reach $4,720?
Answer:
13
Step-by-step explanation:
The total cost of a tablet device comprises the cost of material, labour and overheads in the ratio 3:4:1. The cost of material is $315. What is the total cost of the tablet?
Answer:
The total cost of the tablet is $840
Step-by-step explanation:
Here, we want to calculate the total cost
Let the total cost be $x
From the ratio, the total ratio is 3 + 4 + 1 = 8
so,;
3/8 * x = 315
3x = 8 * 315
x = 8/3 * 315
x = 8 * 103
x = 840
Are vacuoles small or large? PLS HELP I NEED THIS ANSWER FAST!
Answer:
large
Step-by-step explanation: