This won't be the easiest way to do this problem but as your teacher requires it I will do it that way. But at the end I will show another way to do it with the quadratic formula.
First complete the square
x^2-3x+1=0
(x^2-3x+9/4)+1=9/4
(x-3/2)^2=9/4-1
(x-3/2)^2=5/4
x-3/2=±[tex]\sqrt{\frac{5}{4}[/tex]
x= 3/2±[tex]\frac{\sqrt5}{2}[/tex]
Done!
*Now this next way is not the way your teacher wants you to do it but I personally think its easier.
Just use the quadratic formula x=[-b±sqrt(b^2-4ac)]/2
x=[3±sqrt(9-4*1*1)]/2
x=(3±sqrt5)/2
x=3/2±sqrt5/2
We get the same answer but I think this way is easier. Now if your teacher ask for the top way just do the top way don't do the bottom because you will lose points, its just a shorter way to do things. Now I hope this helped and any additional questions about this just ask me in the comments.
Taylor opened a savings account with $425. After 2 years, the total interest earned was $10.20. What was the annual interest rate?
Answer:
R = 1.2%
Step-by-step explanation:
Given the following data;
Principal = 425
Time = 2
Simple interest = 10.20
To find the annual interest rate;
Mathematically, simple interest is calculated using this formula;
[tex] S.I = \frac {PRT}{100} [/tex]
Where;
S.I is simple interest. P is the principal. R is the interest rate. T is the time.Substituting into the equation, we have;
[tex] 10.20 = \frac {425*R*2}{100} [/tex]
[tex] 10.20 = \frac {850R}{100} [/tex]
Cross-multiplying, we have;
[tex] 1020 = 850R [/tex]
[tex] R = \frac {1020}{850} [/tex]
R = 1.2%
Therefore, the annual interest rate is 1.2 percent.
Can somebody help me, I'm being timed!
Answer:
I think its -- linear postulate
Step-by-step explanation:
Challenge A large university accepts 60% of the students who apply. Of the students the university
accepts, 35% actually enroll. If 10,000 students apply, how many actually enroll?
students would actually enroll. (Type a whole number.)
Answer:
man i cant really say
Step-by-step explanation:
Luisa earns $19 for walking 4 dogs. How much would she earn for walking 7 dogs?
Answer:
$33.25
Step-by-step explanation:
The segments shown below could form a triangle.
Answer:
False
Step-by-step explanation:
It's been a while since I did this but here we go:
So to find if the triangle lengths are possible, we take the shorter two lengths and we add them.
Those shorter two lengths sum have to be greater than the longest length.
I hope this helps.
Help rn pls,! Its a math problem
Answer:
Dont nobody want to help you but thanks for the points lol
Step-by-step explanation:
what's the radius plz help me
Answer:
i need help to plz its 75932389 i need help its wrong
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
D
Step-by-step explanation:
if a number n is a multiple of two,then n is even.
Answer:
yes any multiple of 2 is even
1 bag of pretzels cost four dollars. Five bags of pretzels cost $12.00. Which has the lower unit price??
Answer:
The 5 bags of pretzels.
Step-by-step explanation:
Because if you were to buy 5 individual bags you would end up paying $20.00, instead of $12.00
Answer:
The second option
Step-by-step explanation:
In order to find the unit price of each, consider the quotient of amount of money per bag:
Case 1:
$4/ 1 bag
Case2:
$12 / 5 bags = $2.4 / 1 bag
Therefore, the second option is the one with lower unit price.
Evaluate -2x+6y when x= -3 y=-1
Answer:
0
Step-by-step explanation:
Substitute x for -3 and y for -1:
= -2(-3) + 6(-1)
= 6 + -6 (or 6 - 6)
= 0
Please help ! I’ll mark you as brainliest if correct
Answer:
a
Step-by-step explanation:
andre is making a dessert that calls for 1 1/3 cups of butter if he already has 1/4 cup of butter how much more does andre need
Answer:
1 1/12 cupsStep-by-step explanation:
Required amount of butter = 1 1/3 cupsAlready has = 1/4 of a cupNeeded:
1 1/3 - 1/4 = 4/3 - 1/4 = 16/12 - 3/12 = 13/12 = 1 1/12 cupsA standard amount for a tip in a restaurant is 35% of the meal cost. True or false
Answer: False
Step-by-step explanation:
it’s usually 20%
Answer:
False
Step-by-step explanation:
1. Normally it is 20%.
2. Move yous decimal one place to the left
3. Round this number to the next easy coin amount
4. Double that number
That is roughly 20%
in. 2 4 in. 5 in. 3 in.
whats the volume
Answer:
not sure what shape you meant need more info but it should be 360 inches
^3
Step-by-step explanation:
HELP ME PLZ!!!! A bakery sold 48 chocolate cupcakes in a day, which was 12% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
400 cupcakes will be sold by the bakery on that day if the percentage of total sales is 12%.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
A set of financial statements with a budgeted amount are created using the percentage-of-sales approach. The predicted sales level for the budget period is calculated by converting each historical cost into a percentage of net sales.
It is given that,
Total number of chocolate cupcakes sold = 48
Let the x be the cupcakes that will be sold by the bakery on that day
According to the given condition, 12% of the total number of cupcakes is 48.
⇒12% of x = 48
⇒(12/100) × x =48
⇒x=(48×100)/12
⇒x=400
Thus, 400 cupcakes will be sold by the bakery on that day if the percentage of total sales is 12%.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ6
A building is 52 meters tall. The building next to it is 50.36 meters tall. What is the difference between the heights of the buildings?
Answer:
1.64 meters
Step-by-step explanation:
Subtract 52 - 50.36 to find the difference between the heights. You get 1.64 meters.
Hope it helps!
HELP ME QUICK! ASAP! A stock clerk is arranging a case of 24 bottles of shampoo on a shelf. Each bottle contains 375 milliliters of shampoo. How many liters of shampoo do all bottles contain? Show your work.
PLEASE SHOW UR WORK LIKE HOW U GOT IT
PLEASE HELP, The diameter of a semicircle is 2 meters. What is the semicircle radius
Answer:
Step-by-step explanation:
d= 2r
therefore the radius is 1
Solve 25t+5/3<-9 for t.
Answer:
t<-32/75
hope it's helpful ❤❤❤❤❤❤
THANK YOU.
#
Answer:
t < -32/75
Isolate the variable by dividing each side by factors that don't contain the variable.
The selling prices on
distributed with a mean of $221,000 and a standard deviation of $30,000.
please help me!!!!! its due tonight!!!!!!
Answer:check explanation below
Step-by-step explanation:
Okay so for Part A: since B is the midpoint of SM, SM=SB+BM. Therefore, you can set them both equal to each other which would be 4x=98.3. You divide both sides by 4 to get the value of x which is 24.575. Now you substitute 24.575 back into 4x and you get 98.3. Since SM=SB+BM, you do 98.3+98.3 and SM=196.6.
Part B: For part b you do the same thing as A to find the values of x y and x. You already know that x=24.575. For Y, since T is the midpoint of DS you can set ST=TD. This means that 123.4=2/5y. When you solve for y you get y=308.5. Lastly, for z since N is the midpoint of MD, MN=ND. So 102=7/10z. When you solve for z you get approximately 145.7. Now you just add them together -- 24.575+308.5+145.7= 478.775.
Part C: NT is half of SM. Since SM is 196.6, NT is 98.3. TB is half of MD. MD is 203.99 so TB is 101.995. BN is half of SD. SD is 246.8 so BN is 123.4
So, NT+TB-BN is 98.3+101.995-123.4 which equals 76.895
Solve for x and y
A=3y
B=105
C=9x+5
D=2x+10
Answer:
Where's the equation?
Dean is comparing prices on ground beef. Store A is selling 5 pounds of ground beef for $23.49. Store B is selling 8 pounds of ground beef for $36.96. Which store is offering the better deal on ground beef? Show work
Answer:
Store B
Step-by-step explanation:
First you need to set up an equation for each store
Store A (you have 5 pounds of something sold at $x per pound. which together totals $23.49)
[tex]5x=$23.49[/tex]
Store B (you have 8 pounds of something sold at $x per pound. which together totals $36.96)
[tex]8x=36.96[/tex]
Then you want to isolate the x for each equation to find the price per pound. You do this by diving each total cost, by how many pounds that you get.
Store A: $23.49/5 pounds= $4.698
Store B: $36.96/ 8 pounds = $4.62
This gives you a price per pound, so B is the correct answer because B is $0.07 cheaper per pound, giving you the better deal.
Substitute the given value and evaluate the expression: ( 27 1/2 + E squared) ÷ 1/3, for E is = 5
Answer: 115.5
Step-by-step explanation:
[tex]\frac{(27 * \frac{1}{2} + e^{2} )}{\frac{1}{3} } \\\\e = 5\\\\\\27 * 0.5 + 5^{2} = 13.5 + 25 = 38.5\\\\\frac{38.5}{\frac{1}{3} } = 3 * 38.5 = 115.5[/tex]
A car dealership decreased the price of a certain car by 12%. The original price was $37,400.
Fill in the blank to write the new price in terms of the original price. Write your answer as a decimal. New price= × Original price
Use your answer in part (a) to determine the new price. Newprice: $
Answer:
(b) The new price of car is $43584.
Step-by-step explanation:
Which of the following integers is a solution to the inequality below?
-3x - 7 ≤ -7x - 27
Select one:
a. -6
b. 1
c. -3
d. 4
How do I solve Y=2/3x-1 and y=3
Answer:
Step-by-step explanation:
Put the y value where it belongs-
3=2/3x-1 Now add like terms (if you add one to negative one it cancels out)
+1 +1
4=2/3x Divide (I used a calculator)
x=6
$20 haircut; 10% tip Find the total cost
A. $2.00
B. $18.00
C. $22.00 0
D. $40.00
Answer:
answer is c
Step-by-step explanation:
Plssssssssssss.ssssssssss
Answer:
6 yards in two hours
Step-by-step explanation:
3 times 2 is six
Answer:
6 hours
Step-by-step explanation:
beacause if you times the 3×2=6hours
#carry on learning
