Answer:
They often have more than one solution.
Answer:
Step-by-step explanation:
Quadratic equations are equations that when rearranged using the 5 operations can yield a polynomial of degree 2 on one side of the equation and 0 on the other. There are 3 commonly taught methods for solving quadratic equations. These methods are factoring, completing the square, and the quadratic formula. These functions are most commonly used to model projectiles, disregarding air resistance.
When using the factoring method one attempts to write a degree 2 polynomial as the product of two degree 1 polynomials. This method works because if we multiply two degree one polynomials together we find
For example: When factoring , we want to find two number a, b whose product is 6 and sum to 5. The values of a and b we are looking for are 2 and 3.
The method of completing the square centers around using the five operations to replace the original equation with an equivalent equation of the form by taking advantage of the fact that
The absolute value function takes the value of a number, regardless of whether it is positive or negative. Some problems that the absolute value is useful for modeling include an object bouncing on the ground.
For example, , since we do not care about the negative sign.
Example: Solve
Solution: Since the absolute value does not care about whether a number is positive or negative, if then or . Then we can solve each equation individually to find that x = 1 or 5.
Find x
8(x-27)+49=87+28x
Answer:
x = -12.7
Step-by-step explanation:
[tex]8(x-27)+49=87+28x\\\\8x-167=87+28x\\\\8x-167+167=87+28x+167\\\\8x=28x+254\\\\8x-28x=28x-28x+254\\\\-20x=254\\\\\frac{-20x=254}{-20}\\\\ \boxed{x=-12.7}[/tex]
Hope this helps.
Answer:
x=-127/10 or x= -12.7
Step-by-step explanation:
8(x−27)+49=87+28x
Step 1: Simplify both sides of the equation.
8(x−27)+49=87+28x
(8)(x)+(8)(−27)+49=87+28x(Distribute)
8x+−216+49=87+28x
(8x)+(−216+49)=28x+87(Combine Like Terms)
8x+−167=28x+87
8x−167=28x+87
Step 2: Subtract 28x from both sides.
8x−167−28x=28x+87−28x
−20x−167=87
Step 3: Add 167 to both sides.
−20x−167+167=87+167
−20x=254
Step 4: Divide both sides by -20.
−20x/−20
=
254/−20
x=
−127/10
Four bags of chips cost $12. How much do 7 bags of chips cost?
Answer:
4 bags cost 12 = 3 each bag so 3 x 7 = 21$
Step-by-step explanation:
1 Two functions are shown below. Function A Function B x 0 3 5 y 5 3x 1 2 y 3 9 13 Which statement correctly describes the rates of change of the two functions? A The rate of change is 2 for both Function A and Function B. B The rate of change is 3 for both Function A and Function B. C The rate of change is greater for Function A than for Function B. D The rate of change is greater for Function B than for Function A.
Answer:
D The rate of change is greater for Function B than for Function A
Step-by-step explanation:
A function shows the relationship between a dependent variable and an independent variable. A linear function is given as y = mx + b, where m is the rate of change, y is the dependent variable, x is the independent variable and b is the value of y when x = 0.
Function B is given by y = 3x + 2. Comparing with y =mx + b gives m = 3. Therefore the rate of change of function B is 3.
Function A has x: 0, 3, 9 and y:3, 9, 13. Using the points (0,3) and (3, 9), we an get the equation of the function. The formula is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3=\frac{9-3}{3-0}(x-0)\\ \\y-3=2x\\\\y=2x+3[/tex]
Function A is given by y = 2x + 3. Comparing with y =mx + b gives m = 2. Therefore the rate of change of function A is 2.
The rate of change is greater for Function B than for Function A
What are the answers for questions for #’s 4, 6 and 8. You can answer the others if you want but don’t have to! Thank you!!! 15 POINTS!!!!!
Answer:
[tex]question \: \: 4. : \\ 320 \: miles = 3 \: inches. \\ question \: \: 6. : \\586 \frac{2}{3} \: miles = 5.5 \: inches.\\ question \: \: 8. : \\ 9 \frac{1}{10} \: inches =1,092 \: feets.[/tex]
Step-by-step explanation:
[tex]question \: \: 4. : \\ if \: 80 \: miles = \frac{3}{4} \: inch \\ 320 \: miles = \frac{ \frac{3}{4} \: inch \times 320 \: miles }{80 \: miles} \\ \\ 320 \: miles \: = \frac{3}{4} \: inch \: \times 4 \\ 320 \: miles = 3 \: inches. \\ \\ question \: \: 6. : \\ if \: 80 \: miles = \frac{3}{4} \: inch \\ \\ 586 \frac{2}{3} \: miles = \frac{ \frac{3}{4} \: inches \times586 \frac{2}{3} \: miles }{80 \: miles} \\ \\ 586 \frac{2}{3} \: miles = \frac{440}{80} \: inches\\ \\ 586 \frac{2}{3} \: miles = 5.5 \: inches. \\ \\ question \: \: 8. : \\ if \: 1 \: inche = 120 \: feets \\ 9 \frac{1}{10} \: inches = \frac{9 \frac{1}{10} \: inches \times 120 \: feets }{1 \: inche} \\ \\ 9 \frac{1}{10} \: inches = \frac{91 \times 120}{10} \: feets \\ \\ 9 \frac{1}{10} \: inches =1,092 \: feets.[/tex]
Each morning Soriano buys coffee and donut holes for his employees and clients. The following system represents the amount of coffee and donut holes bought this morning and the amount of money that he spent (in dollars). In the system, represents the number of cups of coffee that he bought and the number of cups of donut holes that he bought.
c+d=60
2.5+1.75=123.75
Part A: How many cups of coffee and donut holes did Soriano buy this morning?
Part B: How much does each cup of coffee cost?
Part C: How much does each cup of donut holes cost?
Part D: How much did Soriano spend in coffee and donut holes?
Part E: Use the elimination method to solve the system and determine the number of cups of coffee and donut holes that Soriano bought this morning.
Answer:
Part A: 60
Part B: Each cup of coffee costs 2.5 dollars
Part C: Each donut costs 1.75 dollars
Part D: Sonario spent 123.75 dollars in coffee and donut holes
Part E: The number of cups of coffee bought are 25 cups of coffee
The number of donut holes bought are 35 donut holes
Step-by-step explanation:
The given parameters are;
c + d = 60
2.5 × c + 1.75 × d = 123.75
Part A
Whereby the number of cups of coffee bought = c, and the number of donut holes bought = d, then, the total number of cups of coffee and donuts bought is c + d = 60
Part B:
From the second equation for the total cost of cups of coffee and holes of donuts, the coefficient multiplying the variable representing an item is the cost of the item
Therefore, each cup of coffee costs 2.5 dollars
Part C:
Using the method from above, each donut costs 1.75 dollars
Part D:
From the equation for the total cost, Sonario spent 123.75 dollars in coffee and donut holes
Part E:
By the elimination method, we have;
c + d = 60
∴ c = 60 - d
Eliminating c in the equation for the total cost gives;
2.5 × c + 1.75 × d = 2.5 × (60 - d) + 1.75 × d = 123.75
150 - 2.5·d + 1.75·d = 150 - 0.75·d = 123.75
150 - 123.75 = 0.75·d
26.25 = 0.75·d
d = 26.25/0.78 = 35
d = 35
c = 60 - d = 60 - 35 = 25
c = 25
∴ c = The number of cups of coffee bought = 25 cups of coffee
d = The number of donut holes bought = 35 donut holes
4x +9 <30 as a real world problem
Answer:
I hope it's good enough
Step-by-step explanation:
Talia bought 4 watermelons for her annual watermelon summer party. She also spent an additional 9 dollars on the party supplies. The total amount she spent was less than 30 dollars. Write an equation to represent this word problem in which the amount of money each watermelon was is represented by x.
-9.5 - (-8) -6.5
helpp
The temperature of a liquid is changing by -4.32 degrees celsius per minute. What will be the temperature change, in degrees Celsius over a period of 6.5 minutes?
Answer:
-28.08 degrees celsius
Solve the equation for x.
26x = 156
x=
Answer: x=6
Step-by-step explanation:
156/26=6
therefore x=6
Write the given zeros into a polynomial function
-7,3+2i
Which expression represents the phrase?
"4 more than the product of 8 and n."
A)
8n – 4
C)
4(8 + n)
B)
8n + 4
D)
(8 + n) – 4
Answer: B
Step-by-step explanation:
4 more than the product of 8 and n is represented as 8n + 4 because:
4 more means add 4 to it.
We see that option B gives up 8n + 4.
The expression in words is 4 more than the product of 8n.
The answer is B.
Answer:
8n + 4
Step-by-step explanation:
Product of 8 and n : 8*n = 8n
4 more than the product of 8 and n means 4 should be added to 8n
8n + 4
A generator turns __?____ energy into ___?____ energy
A.Coiled wire
B.Negative wire
C.Positive wire
D.Handle that can spin
E.Light bulb
Chose two answers to place on the sentence
Help asap
B, C waaaaaaaaaaaaaaaaaaaaaa
What is the slope of the graphed line
Answer:
3/9 or 1/3
Step-by-step explanation:
change in y over change in x is the slope
youre going up 3 and right 9, so 3/9 which simplifies to 1/3
What is the equivalent expression to (8^-5/2^-2)^-4
Answer:
8^20 / 2^8
Step-by-step explanation:
when it is raised. you multiply it.
please help... thank you.
Answer:
5
Step-by-step explanation:
nearest whole number for 24 16/17= 25, nearest whole number for 4 8/9= 5, 25/5=5
5)40 is 77% of what number.
6) in Minnesota sales tax is 6.875%.what is the total (including tax) on items that total $178.46?
Answer:
5. 34% 6. $190.73
Step-by-step explanation:
trust man just trust
Answer:
5) 52
6) $190.73
Step-by-step explanation:
5)
Let the unknown number be x.
40 is 77% of x
40 = 0.77x
Divide both sides by 0.77
x = 52
Answer: the number is 52.
6)
We first calculate the amount of tax which is 6.875% of $178.46.
6.875% of $178.46 =
= 0.06875 * $178.46
= $12.27
The amount of tax is $12.27.
Now we add the amount of tax to the price before tax.
$178.46 + $12.27 = $190.73
is 104.25 a rational or irrational number
Answer:
Rational
Step-by-step explanation:
Irrational numbers go on forever
The decimal number 104.25 is a rational number.
What is a rational number?If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.
The decimal number is given below.
⇒ 104.25
There are only two-digit after the decimal place which means the number gets terminated.
Then the decimal number 104.25 is a rational number.
More about the rational number link is given below.
https://brainly.com/question/9466779
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Question 1 of 10
What is the solution to this equation?
X- 13 = -4
A. x=-9
B. x= 17
C. x = 9
D. x=-17
The restaurant serves breakfast from 6 AM until 10:30 AM. They sell six every 15 minutes. Should the restaurant expect to sell more than or fewer than 100 omelettes? Explain your answer.
Answer:
The restaurant expect to sell more than 100 omelets
Answer:
They will certainly Sell more than 100.
Step-by-step explanation: Okay first we know that 15 can go into 60 4 times,4 x 4 is 16 + 2 (so we can make sure it is exactly equivalent to 4 and a half hours that is why we added 2) is 18. Multiply 6 x 18 to get the number of Omelletes sold, we get 108 Omellets sold, that is more than 100. So the answer should be More than 100 omelletes!
The double number line below shows the approximate number of pounds in a certain number of kilograms: Based on the nunber line, about how many pounds are there In 4.5 kilograms?
1. 8
2. 9
3. 10
4. 11
F&J Farms sells super egg-laying chickens that historically weigh on average 3 pounds with a standard deviation of 0.4 pounds. However, it has been discovered that the chickens actually weigh twice as much as they used to. What is actual the mean and standard deviation of the chickens?
Answer:
Mean of chicken = 6 pounds, Standard Deviation of chicken = 0.6 pounds
Step-by-step explanation:
Given : Chickens mean & standard deviation = 3 & 0.4 pounds respectively. Chickens considered weigh twice actually now.
If all numbers in the series are multiplied by a constant, the mean gets multiplied by that constant. So, new mean = 3 x 2 = 6
If all numbers in the series are multiplied by a constant, the standard deviation gets multiplied by that constant. So, new standard deviation = 0.4 x 2 = 0.8
Please answer this question for me
Answer:
11, 12 is right
Step-by-step explanation:
if you do the equation the answer is 11.7473etc, and is in the middle of 11 and 12
Answer:
you marked the right one
Step-by-step explanation:
What is the perimeter of 3/8 3/8 and 4/8
Area of the circle. Leave your answer in terms of pi.
Answer:
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679
Step-by-step explanation:
by google
True or false? A theorem is a statement that can be easily proved using a
corollary
A. True
B. False
The answer is B, False
Answer:
yeah it's B. false :)
Step-by-step explanation:
and to answer the other answer, it's just to help other people if the question isn't already on brainly
What is the increasing and decreasing intervals of this graph?
Answer:
A function is increasing on an interval if its slope is positive on that interval. That is, if you follow it to the right, it'll go up.
The graph increases at 3 and decreases at 1
A function is decreasing on an interval if its slope is negative on that interval. That is, if you follow it to the right, it'll go down.
Step-by-step explanation:
hope this helped
The function is increasing at (1, 0) and decreasing at (3, 0).
Given is a graph we need to determine what is the increasing and decreasing intervals of this graph,
If a function's slope is positive on an interval, the function is increasing on that interval. That is, it will go up if you follow it to the right.
The graph goes up at 3 and down at 1.
If a function's slope is negative on an interval, the function is declining on that interval. That is, it will descend if you follow it to the right.
Hence the function is increasing at (1, 0) and decreasing at (3, 0).
Learn more about increasing and decreasing intervals click;
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URGENT!!
A golf ball is hit with an initial velocity of 80 feet per second. H= -16t^2 + 80t.
1) When will the ball reach 48ft?
2) When will the ball reach 110ft?
9514 1404 393
Answer:
t = 0.697 secondsnever (the maximum height is 100 ft)Step-by-step explanation:
A graphing calculator provides a nice solution to this question.
__
1) Put 48 ft in for H and solve for t:
48 = -16t^2 +80t
-3 = t^2 -5t
3.25 = t^2 -5t +6.25 = (t -2.5)^2
t = 2.5 ±√3.25
The ball will first reach 48 feet at t = 2.5 -√3.25 ≈ 0.697224 seconds.
__
2) The equation tells us the maximum height occurs at t=2.5 seconds. That height is ...
H = -16(2.5^2) +80(2.5) = 100
The maximum height is 100 feet. The ball will never reach 110 feet.
suppose y varies directly as x. if y= -7 when x=-14 find x when y=10.
Answer:
x=20
Step-by-step explanation:
we see that the connection between y and x is that y is always 1/2 as much as x.
I need help again sorry pls I’ll wait this time Bc I pressed similar question help me pls for 100 pts
Answer:
can u add the question so we can help?
Step-by-step explanation:
Kaiwan sold 40 tickets for Young Baby Durk NBA for the Howard Homecoming concert. He sold general admission tickets for twenty dollars each and VIP tickets for thirty dollars each. He collected eight hundred and eighty dollars. How many of each kind of ticket did Kaiwan sell?
Answer:
number of general admission tickets sold = 32
Number of VIP tickets sold = 8
Step-by-step explanation:
Total Number of tickets = 40
Cost of general admission tickets = $20
Cost of VIP tickets = $30
Total revenue = $880
Let
x = number of general admission tickets sold
y = number of VIP tickets sold
The equations are:
x + y = 40 (1)
20x + 30y = 880 (2)
From (1)
x = 40 - y
Substitute x = 40 - y into (2)
20x + 30y = 880
20(40 - y) + 30y = 880
800 - 20y + 30y = 880
10y = 880 - 800
10y = 80
y = 80 / 10
= 8
y = 8
Substitute y = 8 into (1)
x + y = 40
x + 8 = 40
x = 40 - 8
= 32
x = 32
number of general admission tickets sold = 32
Number of VIP tickets sold = 8