Answer:
b = 6
Step-by-step explanation:
Let's solve for b.
(3x−1)2=9x2−bx+1
Step 1: Flip the equation.
−bx+9x2+1=9x2−6x+1
Step 2: Add -9x^2 to both sides.
−bx+9x2+1+−9x2=9x2−6x+1+−9x2
−bx+1=−6x+1
Step 3: Add -1 to both sides.
−bx+1+−1=−6x+1+−1
−bx=−6x
Step 4: Divide both sides by -x.
b = 6
Hope this helpss!!!
The diagram below models the diameter of the bicycle wheel
21.75
Which of the following is closest to the distance of the length when the bicycle wheel
makes 1 revolution?
A7 inches
B 25 inches
C34 inches
D69 inches
Can anyone help me!!
Your cousin borrows $1125 to repair her car. The simple annual interest rate is 10%. She makes equal monthly payments of $25. How many years will it take to pay off the loan? (PLSSS HELP)
Answer:
Step-by-step explanation:
Your cousin borrows $1125 to repair her car. The simple annual interest rate is 10%. She makes equal monthly payments of $25. How many years will it take to pay off the loan? (PLSSS HELP)
Given data
P=$1125
R=10%= 0.1
I= $25
We know that
I=PRT
(a - ab) / a² ÷ a - 1 / a³
Answer:
Image below. :)
Explanation:
I need help on my warm up!! pls thx!
Step-by-step explanation:
[tex] \tt{30.16 = 17.56 + 5x} [/tex]
Swap the sides of the equation :
⤑ [tex] \tt{17.56 + 5x = 30.16}[/tex]
We want to remove the 17.56 first.
Since the original equation is 17.56 , we are going to use the opposite operation and subtract 17.56 from both sides :
⤑ [tex] \tt{5x + 17.56 - 17.56 = 30.16 - 17.56}[/tex]
Simplify. 17.56 - 17.56 = 0 on the left. 30.16 - 17.36 = 12.6 on the right.
⤑ [tex] \tt{5x = 12.6}[/tex]
Then, we need to think about how to remove the coefficient 5. Since the opposite of multiplication is division , I am going to divide both sides by 5.
⤑ [tex] \tt{ \frac{5x}{5} = \frac{12.6}{5}} [/tex]
Simplify. 5/5 = 1 on the left and 12.6/5 = 2.52 on the right. So, Our answer is x = 2.52.
[tex] \pink{ \boxed{ \boxed { \tt{Our \: final \: answer : \underline{ \underline{ \bold{ \tt{x = 2.52}}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not more than 3, whereas quadratic functions may or may not have x-intercepts
Answer:
Yes, I agree
Step-by-step explanation:
For the cubic function
A cubic function is represented as:
[tex]f(x)=ax^3+bx^2+cx+d[/tex]
A cubic function may have 1, 2 or 3 x intercepts. This is shown below
For 3 x intercepts
[tex]y = x^3 - x[/tex]
Equate y to 0
[tex]x^3 - x = 0[/tex]
Expand
[tex]x(x^2 - 1) = 0[/tex]
Express [tex]x^2 - 1[/tex] as difference of two squares
[tex]x(x - 1)(x +1 ) = 0[/tex]
x = 0 or 1 or -1
For 2 x intercepts
[tex]y = x^3 - x[/tex]
[tex]y =(x-5)^2)(x+7)[/tex]
Equate y to 0
[tex](x-5)^2(x+7) = 0[/tex]
Expand
[tex](x-5)(x-5)(x+7) = 0[/tex]
x= 5 or x = -7
For 1 x intercept
[tex]y = x^3[/tex]
Equate y to 0
[tex]x^3 = 0[/tex]
Take cube roots of both sides
[tex]x = 0[/tex]
It has been shown above that a cubic function may have 1, 2 or 3.
So, I agree to the statement
For the quadratic function
A quadratic function will not have any x intercept when the function can not be factorized;
E.g.
[tex]y = x^2 + x + 17[/tex]
The above function has no x intercept.
A quadratic function will have at least 1 x intercept when the function can be factorized;
E.g.
[tex]y = x^2- 6x + 9[/tex]
Equate y to 0
[tex]x^2- 6x + 9 = 0[/tex]
Expand
[tex]x^2 - 3x - 3x + 9 = 0[/tex]
[tex](x - 3)(x-3) = 0[/tex]
[tex]x = 3[/tex]
We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)
Hence, I agree to both statement
A family eats at a restaurant. The bill, including tax, is $45. The family then leaves a 20% tip. How much did the family spend on the meal? *
Answer:
$54
Step-by-step explanation:
45 increase 20% =
45 × (1 + 20%) = 45 × (1 + 0.2) = 54
How do I do B I need it by today
Jessica has 180 inches of ribbon. How many yards of ribbon does she have?
15 yards
5 yards
10 yards
60 yards
Answer:
5 yards
Step-by-step explanation:
1 yard = 36 inches
yard to inches = multiply by 36
inches to yard = divide by 36
180/36 = 5 yards
solve using a2 + b2 = c2
show the work please :)
Answer: 19.20937
Step-by-step explanation:
a2=15
b2=12
c2=?
a2+b2=c2
15(15)+12(12)= c2
225+ 144=c2
√369= √c2
≐19.20937 ft
3√41
Help 69 points
36 - 7p = -7 ( p - 5)
a) No Solution
b) One Solution
c) Infinite Solutions
Answer:
a) No Solution
Step-by-step explanation:
36 - 7p = -7(p - 5)
36 - 7p = -7p + 35
1 - 7p = -7p
1 = 0p
so a) No Solution
Answer:
[tex]36 - 7p = - 7(p - 5) \\ 36 - 7p = - 7p - 7 \times - 5 \\36 - 7p = - 7p + 35 \\ p \: terms \: togather \\ - 7p + 7p = 35 - 36 \\ 0p = - 1 \\ here \: we \: \: have \: 0p \\ so \: no \: solution \\ option(a) \\ thank \: you[/tex]
QUICK PLEASE I WILL GIVE BRAINlYIST
If a liquid has a volume of 7,000 milliliters, what is the volume in liters?
A)7 liters
B)70 liters
C)700 liters
D)700,000 liters
Answer:
7 Liiters
Step-by-step explanation:
Which choices describe the number of acorns?
Answer: D
Step-by-step explanation:
Because if you count from the tup to bottom their is 4 and if you count from top to right its 5 so its... 5 x 4.
IM NOT GOOD AT EXPLAINING ... CAN SOMEONE HELP ME EXPLAIN ?...
Answe my uuuuuuttt
Step-by-step explanation:
Hello, look at the picture I established at the bottom I will be giving you thanks, 5 stars, and brain least, Thank you. Have a nice afternoon!
Answer:
I think B 10 diamond and 12 circles
Step-by-step explanation:
List down 3 biotic and 3
abiotic components of
ecosystem mentioned in
the video clip. From the
given examples, how do
they affect other
organisms in the
community in this time of
pandemic?
Find the value of x. Then classify the triangle by its angles.
7 times m help helpp
i need help. can anybody help me
Answer:
positive 1/2
Step-by-step explanation:
Answer:
0.5
Step-by-step explanation:
3-2/0-2= 0.5
help asap i will brainlist
Answer:
8-3n
The way you know is 8 is the hidden word....
in there and it say 3 times nathans...
So you will take n and times it bye 3..
by doing 3n so 8-3n is your anwser...
Pwease Mark me Brainliest TY OwO
i am a multiple of 7, i am also a mutiple of 3 my units digit is half my tens digit. Thanks!
Answer:
21 or 42......both work
Hal earns $5 a week doing chores for his parents. He also earns $10 a week for each dog.d, he walks,
Write an equation to find m, the total amount of money Hal earns in one week. Which variable in the equation is the dependent variable and which variable is the independent variable? Tell how you know
Answer:
grpuirpfs better luck next time
Step-by-step explanation:
Answer:
M=10d+5
Step-by-step explanation:
Leandro wants to estimate the proportion of light bulbs that arrive broken upon shipment to his store. He
takes a random sample of 500 bulbs and finds that 25 arrived broken. He's willing to assume independence
between bulbs in the sample.
Answer:0.05+1.645v0.05(0.95)/500
Step-by-step explanation:
Match each system of equations to its solution represented by an augmented matrix.
Answer:
Step-by-step explanation:
On line l, m∠p = 21x +25 and m∠n = \{675x\:-27}/3 Use this information to answer Part A & B below. Part A: Determine the value of x. Part B: Determine the measure of ∠p and ∠n in degrees. p = n =
Answer:
a) x = 492/738
b) m<p = 39°
m<n = 141°
Step-by-step explanation:
Find the diagram attached
a) The sum of angle on the straight line l is 180degrees
m<n + m<p = 180 degrees
Given
<p = 21x+25
<n = (675x-27)/3
Substitute the given values into the formula
(675x-27)/3 + 21x+25= 180
[(675x-27+3(21x+25))]/3 = 180
675x-27+63x +75 = 180*3
675x+63x-27+75 = 540
738x+48 = 540
738x = 540 - 48
738x = 492
x = 492/738
b) m<p = 21x+25
m<p = 21(492/738) + 25
m<p = 14+25
m<p = 39°
Recall that m<p + m<n = 180
m<n = 180-m<p
m<n = 180 -39
m<n = 141°
6 = 2 (y + 2) what is the value of the y
Answer:
Step-by-step explanation:
6=2(y+2)
6=2y+4
2=2y
y=1
Answer:
1
Step-by-step explanation:
1+2=3
2(3)= 2x3=6
There ya go
In order to get an A in science,jack needs to get a 92% on his next test.If test has 30 questions.What is the minimum number he must have answered correctly.
Answer:
He would need to get a minimum of 28 questions correct.
Step-by-step explanation:
92% of 30 is 27.6 but you cant really get .6 of a question right, so you would need to round. Which makes it 28.
How do you estimate percentage.
Step-by-step explanation:
To estimate percentage I would round up the numbers to the nearest neat number? like 10 or 15 for example and then find the percentage of that number.
The sales-tax rate was 7%. The two CDs cost $15.49 each. What was
the total cost of the two CDs including tax?
Answer:
$16.57
Step-by-step explanation:
15.49 increase 7% =
15.49 × (1 + 7%) = 15.49 × (1 + 0.07) = 16.5743
Please in need the answer fast
Factor -5b – 5c.
5(b + c)
5(b – c)
-5(b – c)
-5(b + c)
What is 62% written as a decimal?
Answer:
62% = 0.62 in decimal form. Percent means 'per 100'. So, 62% means 62 per 100 or simply 62/100. If you divide 62 by 100, you'll get 0.62 (a decimal number).
The decimal of 62% is 0.62
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
We have to change 62% in decimal.
As, 62%
= 62/100
And, the number of zeroes in denominator decimals where to put the decimal.
so, 62/100
= 0.62
Learn more about Percentage here:
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