What is the value of the discrimination for the quadratic equation -3=-x^2+2x
Answers
-3 = -x^2 + 2
Solution:
Multiplying by -1 throughout;
3 = x^2 - 2x
x^2 - 2x - 3 = 0
Using the quadratic formula;
x = (b^2 +/- [tex]\sqrt{b^2 -4ac}[/tex]) × 1/2a
x = (2 +/- 4) × 1/2
x = 3 or -1
Related Questions
please help me please
Answers
a. sum of angles in triangle
b. supplementary angles
c. sum of angles is triangle=180 and supplementary angles =180
d. Parts whole postulate/subtraction
e. exterior angle equals the sum of the 2 remote interior angles
34÷3536
with a remainder please
Answers
0.00961538461
I typed this for 20 characters
can y’all help please . i don’t know how to do this .
Answers
If the first number is in the ones place, and there's no notation, it's 10^0 (number * 1), if the first number is in the tens place, it's 10^1 of the number if it was pushed back into the ones place. If the first number is in the hundreds place, it's 10^2 if it was...
You might get the idea, same applies to negative powers of 10:
If the first number is in the tenths place, it's 10^-1, if the beginning of the number was moved forwards into the ones place, and so on.
I hope I helped you, please ask questions if you need them, I might have delivered a confusing explanation.
so for example on number one you are going to have to move your decimal to the right 2 times to get 2.9 (a value between 1-10)
now you have to write it in scientific notation-ask yourself two questions: how many times did you move your decimal? we moved it 2 times in this problem. and was it to the right or to the left? if you moved it to the right (which is the direction we moved it in this problem) its going to be a negative exponent so our answer would be 2.9x10^-2
same thing with number 2 starting with 64,000 to get our value to a number between 1-10 we need to move our imaginary decimal at the end of our value 4 times to make 6.4
two questions:
how many times did we move it? 4
did we move it to the left or to the right? to the left (so our exponent is positive)
making our answer 6.4x10^4
if you want me to check your answers after you have finished let me know:)
What is the solution set of {x|x<-5} n {x|x>5}?
Answers
[tex]\{x|x < -5\}\ \cap\ \{x|x > 5\}=\O[/tex]
Look at the picture.
The common part does not exist.
what is the common denominator for 30, 24, 18, and 12?
Answers
I believe it is 360 sorry if i am wrong i truely sorry
Find the missing number to complete this division fact. 63 ÷ ∎ = 9
Answers
Hello AskMeBosh
The missing number in this equation is 7
This is because 9 * 7 is 63
So your answer would be 7
:)
63/7=9 the missing number is 7
how can i use variables to describe real world problems
Answers
A variable can be used to represent an unknown amount. Then you write an equation using the variable and based on the information you are given, and you solve the equation to find the unknown amount.
Here is an example.
Mary has money in a bank account. She received $20 for her birthday. She deposited the $20 in her account. After the deposit, she was told the account had a balance of $85. How much money did she have in the account before depositing the $20?
We don't know the amount she had before depositing the $20, so we will call that amount x. x is a letter used as a variable to represent an unknown amount.
She had x dollars in her account before depositing the $20.
After she deposited the $20, she now has x plus 20, or x + 20.
We are told her account now has $85, so x + 20 must equal 85.
That allows us to write an equation which we can then solve to find the amount of money she had in the account before depositing the $20.
x + 20 = 85
Subtract 20 from both sides.
x + 20 - 20 = 85 - 20
x + 0 = 65
x = 65
Since the variable x represents the amount of money in the account before depositing the $20 birthday money, we can now answer the question.
Mary had $65.
you can use varibales in real life problems by using them to describe the constants
To enter a local fair, one must pay an entrance fee and pay for the number of ride tickets he/she wants. Admission to the fair is given by the equation f(x) = .50x + 10, where x represents the number of tickets purchased and f(x) represents the total price. How much does each ride ticket cost?
A) $10
B) $0.50
C) $10.50
D) Not enough information.
Answers
It is B because they show the X variable next to the .50 cents meaning that this can change depending on how many the rider buys in this Equation.
Answer:
no the answer is a $10. i took the usatestprep :)
Step-by-step explanation:
Tell whether the angles are adjacent or vertical. Then find the value of X
Answers
for #5: you put the equations equal to each other then combine like terms & you’ll get x=41 & the angles are vertical.
for #6: you add the equations together to equal 180 bc that is the measure of a straight line. once you do so, you combine like terms & x should equal 14. & the angles are adjacent.
Write the equation of the line parallel to the given line and passing through the given point. y=−2x−1 through (4,3)
Answers
if the lines are parallel the slopes are the same so the slope is -2
the equation for a line given a point and a slope is
y-y1 = m(x-x1)
y-3= -2(x-4)
y-3 = -2x+8
y = -2x+11
Which is another way to express the problem 1 - (-7)
Answers
1+7
because when there are two negatives together you turn it into a positive and add
1 + 7
Because two negatives makes a positive. Hope this helps!
Round each decimal number to the nearest hundred 8.314
Answers
8.31 because it goes after the decimal tenth then hundreth the for is in the thousandths
The answer is 8.3 Hope this helps
30% of the cars sold by Car Dealer A were blue. 50% of the cars sold by Car Dealer B were blue. Which statement must be true?
If both dealers sold the same number of cars, Car Dealer B sold 20 more blue cars.
Car Dealer B sold more blue cars than Car Dealer A did.
If Car Dealer A sold 50 total cars, 30 would be blue.
If both dealers sold 70 total cars, Car Dealer B sold 14 more blue cars.
Answers
Answer:
If both dealers sold 70 total cars, Car Dealer B sold 14 more blue cars.
Step-by-step explanation:
If dealer A sold 70 cars, this means they sold
0.3(70) = 21 blue cars.
If dealer B sold 70 cars, this means they sold
0.5(70) = 35 blue cars.
This is 35-21 = 14 more blue cars than dealer A.
Answer:
If both dealers sold 70 total cars, Car Dealer B sold 14 more blue cars.
Step-by-step explanation:
math
:0
one integer is 5 more than another. their product is 50. Find the integers
Answers
write the following comparison as a ratio reduced to lowest terms 16 days to 2 weeks
Answers
8 days : 1 week
The ratio of 16 days to 2 weeks, when converted to the same units and reduced to its simplest form, is 8:7.
To write the comparison of 16 days to 2 weeks as a ratio in the lowest terms, we first need to express both quantities in the same units. There are 7 days in a week, so 2 weeks equal 14 days. The ratio between 16 days and 14 days is therefore 16:14. This ratio can be reduced to lowest terms by dividing both numbers by their greatest common divisor, which is 2. This gives us the reduced ratio of 8:7.
So, the ratio of 16 days to 2 weeks, reduced to lowest terms, is 8:7.
recipe for banana oat muffins call for 3/4cups of old fashion oats you are making 1/3of recipe how many cups of oats should you use
Answers
The full recipe for the banana oat muffins requires 3/4 (or 0.75) cups of old fashion oats. But you are planning to make only 1/3 of the recipe.
To find the amount of oats required for 1/3 of the recipe, we need to multiply the amount required for the full recipe (3/4 cups) by the proportion of the recipe you are making (1/3).
Let's start with the full amount, which is 3/4 cups of oats. Then, we are going to use only 1/3 of this amount. So, we multiply 3/4 by 1/3.
The result of this calculation is 0.25.
So, you will need 0.25 cups of old fashion oats to make 1/3 of the banana oat muffins recipe.
A new sidewalk will be 4 feet wide 200 feet long and filled to a depth of 3 inches (0.25 foot) with concrete. How many cubic yards of concrete are needed?
Answers
The number of cubic yards of concrete that are needed to fill the sidewalk is 7.40741 cubic yards
Volume of a cuboidv = lwh
where
l = length
w = width
h = height
Therefore,
l = 200 ft
w = 4 feet
h = 0.25 feet
v = 200 × 4 × 0.25
v = 200 ft³
In yards the concrete will fill the following volume:
7.40741 yard³learn more on cuboid here:https://brainly.com/question/849398?referrer=searchResults
To find the volume of concrete needed for the sidewalk, multiply the length, width, and depth of the sidewalk. Convert the volume from cubic feet to cubic yards by dividing by 27.
Explanation:To find the volume of concrete needed, we need to multiply the length, width, and depth of the sidewalk. The length is given as 200 feet, the width is 4 feet, and the depth is 0.25 foot. Multiplying these values together gives us the volume in cubic feet. To convert this to cubic yards, we divide the volume in cubic feet by 27 (since there are 27 cubic feet in a cubic yard).
The volume of the sidewalk in cubic feet is 4 ft * 200 ft * 0.25 ft = 200 cubic feet. Dividing this by 27, we get the volume in cubic yards: 200 cubic feet / 27 = 7.41 cubic yards. Therefore, approximately 7.41 cubic yards of concrete are needed for the sidewalk.
Which statement describes the rate of change of the following function?
f(x) = -6x - 7
A.
The function has a varying rate of change when x < 7.
B.
The function has a constant rate of change, decreasing for all x at a rate of 6.
C.
The function has a varying rate of change when x < 6.
D.
The function has a constant rate of change, decreasing for all x at a rate of 7.
Answers
The correct answer is B. The function has a constant rate of change, decreasing for all x at a rate of 6.
In order to find the rate of change, we have to identify the slope. The slope is always the coefficient of x when in slope intercept form. In this case it is -6, which means it decreases at a rate of 6.
To describe the rate of change of the function \( f(x) = -6x - 7 \), we first need to understand that the rate of change in the context of a function, particularly a linear function, is another term for its slope.
Now, let's recall what the slope of a linear function means. A linear function is of the form \( y = mx + b \), where \( m \) is the slope, and \( b \) is the y-intercept. The slope \( m \) determines how steep the line is, and it represents the change in the y-value (the output of the function) for a unit change in the x-value (the input of the function).
Looking at the given function \( f(x) = -6x - 7 \), we can see it is in the same form as \( y = mx + b \), with the slope \( m = -6 \) and the y-intercept \( b = -7 \).
The slope being -6 means that for every one unit increase in \( x \), the function's value decreases by 6 units. This is a constant rate of change because it does not matter what the value of \( x \) is; the function will always decrease by 6 for every one unit increase in \( x \).
Now, let's examine the given statements:
A. The function has a varying rate of change when \( x < 7 \).
- This statement is incorrect because the slope is constant at -6, regardless of the value of \( x \).
B. The function has a constant rate of change, decreasing for all \( x \) at a rate of 6.
- This statement is correct; it accurately describes the behavior of a linear function with a slope of -6.
C. The function has a varying rate of change when \( x < 6 \).
- This statement is also incorrect because, once again, the rate of change (slope) is constant for all values of \( x \).
D. The function has a constant rate of change, decreasing for all \( x \) at a rate of 7.
- This statement is incorrect; the coefficient of \( x \) in the function, which represents the slope, is -6, not -7.
Based on our analysis, the correct answer is:
B. The function has a constant rate of change, decreasing for all \( x \) at a rate of 6.
What is the sale price of the bicycle?
Answers
so if the original price of the bicycle is $360 and the sale price is 5/6 of that you would multiple $360 by 5/6 which equals 300 now thats NOT your final price you have one more step which is to subtract the sale (money off) the original price 360-60 so the sale price of the bicyle is $300
answer:
$300
step-by-step explanation:
our original price is $360 and we need find 5/6 of 360
our first step is to multiply 360 by 5 which is equal to 1,800
our next step is it divide by 6 which is equal to 300
so our sale price is $300
Approximate 221 ( square root) to the nearest hundredths.
A. 14.28
B. 15.52
C. 14.86
D. 12.89
Answers
a store is selling a hat at 55 percent markup. the store originally paid $16 for the hat. what is the retail price for the hat
Answers
$24.80 is the new retail price for the hat
Answer:
$24.8
Step-by-step explanation:
Hello, i think I can help you with this,you can easily solve this by using a rule of three
Step 1
define
the retail price for the hat will be the originally paid value plus 55%, it is equal to 155% of the original price
if
$16 ⇒100%
$x? ⇒155%
the relation is
[tex]\frac{16}{100}=\frac{x}{155}\\solve\ for\ x \\\frac{155*16}{100}=x\\x=\frac{2480}{100}\\ x=24.8[/tex]
the retail price is $24.8
Have great day.
find the inverse function f -1 (x) for the given function f (x) plz don't write a random answer to get points this is the fourth time I have posted this I need actual help
Answers
What is the slope of this line?
Answers
The slope of this line is 1/4, because slope is rise/run. This line rises 1 for every 4 it runs. The slope is positive because the line is moving upward.
Adam invests $6139 in a retirement account with a fixed annual interest rate compounded continuously. After 17 years the balance reaches $8,624.97. What is the interest rate of the account? Help! Working out required.
Answers
Answer:
2.38% annual interest rate
Step-by-step explanation:
We have the initial value that is $6139 and the final value that is $8,624.97 the initial value is a 100% and the final value is 100%+17x% where x is the annual interest rate, then:
[tex]\dfrac{8624,97\cdot 100\%}{6139\cdot (100\%+17x\%)}=1[/tex]
[tex]\dfrac{8624,97\cdot 100\%}{6139}=100\%+17x\%[/tex]
[tex]\dfrac{862497\%}{6139}-100\%=17x\%[/tex]
[tex]140.49\%-100\%=17x\%[/tex]
[tex]40.49\%=17x\%[/tex]
[tex]\dfrac{40.49\%}{17}=x\%[/tex]
[tex]2.38\%=x\%[/tex]
To find the interest rate of the account, you can use the formula for continuous compound interest, which is A = Pe^(rt). By plugging in the given values, you can solve for r and find that the interest rate is approximately 1.77%.
Explanation:To find the interest rate of the account, we can use the formula for continuous compound interest:
A = Pe^(rt)
Where:
A = final balanceP = initial investmente = Euler's numberr = interest ratet = time in yearsGiven that Adam invested $6139 and the balance after 17 years is $8624.97, we can plug in these values and solve for r:
8624.97 = 6139 * e^(17r)
Divide both sides of the equation by 6139:
e^(17r) = 8624.97 / 6139
Now, take the natural logarithm (ln) of both sides:
ln(e^(17r)) = ln(8624.97 / 6139)
Use the logarithmic property ln(e^x) = x to simplify the equation:
17r = ln(8624.97 / 6139)
Finally, divide both sides of the equation by 17 to solve for r:
r = ln(8624.97 / 6139) / 17
Using a calculator, we find that the interest rate of the account is approximately 0.0177, or 1.77%.
Learn more about Finding interest rate using continuous compound interest formula here:https://brainly.com/question/28524037
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Evaluate the square root
Answers
[tex]\sqrt{a}=b\iff b^2=a\ for\ a\geq0\ and\ b\geq0\\\\\sqrt{\dfrac{1}{144}}=\dfrac{\sqrt1}{\sqrt{144}}=\dfrac{1}{12}\\\\\\\sqrt1=1\ because\ 1^2=1\\\\\sqrt{144}=12\ because\ 12^2=144[/tex]
How many numbers between 1 and 100 (inclusive) are divisible by 9 or 4?
Answers
There are 11 numbers divisible by 9 between 1 and 100, and 25 numbers divisible by 4 between 1 and 100. So there are 11 + 25 = 36, so 36 numbers divisible by one or the other, but this also includes every number which is divisible by both 9 and 4 twice.
Answer:34
Step-by-step explanation:
I had the answer on khaun academy
46 out of 310 seniors graduate with honors. What is the ratio of seniors graduating with honors to the total number of seniors
Answers
Final answer:
The ratio of seniors graduating with honors to the total number of seniors is 46/310, which simplifies to 23/155.
Explanation:
To find the ratio of seniors graduating with honors to the total number of seniors, you would divide the number of seniors graduating with honors by the total number of seniors. In this case, 46 seniors graduate with honors out of a total of 310 seniors.
Therefore, the ratio is 46/310, which can be simplified to 23/155 when reduced to the lowest terms.
How is graphing (0,12) different from graphing (12,0)
Answers
when graphing (12,0) the point will be on the x-axis
By graphing the given points we understood that (0,12) is on the y-axis and (12,0) is on the x-axis.
We need to explain how is graphing (0,12) different from graphing (12,0).
How to plot the point on the cartesian plane?Given a point, (a, b), you plot the point in the Cartesian plane by finding the number a on the horizontal, or x-axis; then you trace directly up or down from that spot, moving parallel to the vertical, or y-axis until you reach the height of the number b.
Now, plot (0,12) and (12,0) on the Cartesian plane.
In the graph plotted we can see (0,12) is on the y-axis and (12,0) is on the x-axis.
Therefore, by graphing the given points we understood that (0,12) is on the y-axis and (12,0) is on the x-axis.
To learn more about the points on the x-axis and y-axis visit:
https://brainly.com/question/3451809.
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Which is a correct verbal expression for 9+ n?
Answers
Nine plus a unknown number equals unknown.
Answer:
The sum of 9 and a number.
Step-by-step explanation:
Sum = Add.
9 = 9
Number = n
Hope this helps :-)
The FunWorld Obstacle Course is scored by awarding 10 points for every activity that is passed and by deducting 5 points for every activity that is failed. Bob passed 4 activities and failed 3 activities. Tom passed 7 activities and failed 4 activities. Who got a higher score?
Answers
Bob passed 4 activities, so 4 x 10 = 40 points. He failed 3, so 3 x 5 = 15
Total points = 40-15 = 25 points.
Tom passed 7, so 7 x 10 = 70 points. He failed 4, so 4 x 5 = 20
Total points = 70-20 = 50 points.
Tom got a higher score.