Answer:
2 rational solutions
Step-by-step explanation:
the degree of the polynomial (the highest exponent of the variable) defines how many solutions there are.
that means for how many values of x the result y is 0 (how many x-axis interceptions there are or should be).
so, a quadratic equation has 2 such solutions.
there are a few different cases how these solutions present themselves :
"normal case" : all the solutions are real (not only rational) numbers, and the curve has that many different x- acid interceptions.
a turn of the curve leads to only "touching" the x-axis : this is just a special case that the curve is "too high" or "too low" and the regular 2 intersects merge into 1. there are formally still 2 solutions, but they are identical.
there can be "S-curves" especially for higher degrees (3 and up) with the center smoothing in with the x-axis : this is similar but can merge even more than 2 solutions into 1.
the curve is really "too high" or "too low" and never even touches the x-axis : then the solutions are irrational.
the general solution for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
the discriminate is (b² - 4ac).
if this is a positive perfect square, then the square root is a perfect integer. in fact, 2 perfect integers (+ and -).
and so we get two solutions with integer/integer and they are therefore 2 rational solutions.
If you were to solve this inequality,
do you need to flip the Inequality symbol?
Answer: no
I would not flip the inequality symbol
Answer:
I think fractions are smaller than whole numbers
So I think No (viewpoint)
{56, 63, 70, 77,..., 126} the best set builder notation
Answer:
7
Step-by-step explanation:
63-56 = 7
What is the least common multiple of 3, 8, and 11?
Answer:
264
Step-by-step explanation:
Answer: The Least Common Multiple (LCM) for 3, 8 and 11, notation LCM (3,8,11), is 264 Solution by using the division method This method consists of grouping by separating the numbers that will be decomposed on the right side by commas while on the left side we put the prime numbers that divide any of the numbers on the right side.
Pls help I need help with math
I hope it helped you!!
Oof
Answer:
20x
Step-by-step explanation:
First of all, we need to always do the x first. And then subtract it I guess.
25x + (5x – 10)
30x-10
20x
The function c(x) = 400x – 0.2x2 represents the total costs for a company to produce a product, where c is the total cost in dollars and x is the number of units sold. which statement is true? one thousand units have the minimum cost of $200,000. one thousand units have the maximum cost of $200,000. two thousand units have the minimum cost of $800,000. two thousand units have the maximum cost of $800,000.
At x = 1000 we get the c(1000) = 2000,000. Second statement 'one thousand units have the maximum cost of $200,000' is true.
It is given that the function [tex]\rm c(x)=400x-0.2x^2[/tex] represents the total costs for a company to produce a product, where c is the total cost in dollars and x is the number of units sold.
It is required to find which statement is true, mentioned in the question.
What are the maxima and minima of a function?Maxima and minima of a function are the extrema within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.
We have a function:
[tex]\rm c(x)=400x-0.2x^2[/tex]
To find the maxima and minima of any function we differentiate the function with respect to [tex]\rm x[/tex] and equate to zero.
[tex]\rm \frac{d \ c(x)}{dx} =\frac{d}{dx} (400x-0.2x^2)[/tex]
[tex]\rm \frac{d \ c(x)}{dx} =\frac{d}{dx} (400x)-\frac{d}{dx} (0.2x^2)\\\rm \frac{d \ c(x)}{dx} =400-(0.2\times2x)\\\rm \frac{d \ c(x)}{dx} =400-0.4x[/tex]
For maxima and minima [tex]\rm \frac{d \ c(x)}{dx} =0[/tex]
[tex]\rm 400-0.4x=0\\\rm x=\frac{400}{0.4} \\\rm x=1000[/tex]
If we find the seconnd differentiate, we get
c''(x) = -0.4 < 0
It means at x = 1000 we will get the maximum value of a function.
[tex]\\\\\rm c(1000) = 400(1000) - 0.2(1000)^2\\\rm c(1000)= 200,000[/tex]
Thus, at x = 1000 we get the c(1000) = 2000,000. Second statement is true.
Know more about the maxima and minima here:
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Answer:
B
Step-by-step explanation:
To determine the maxima and minima of the polynomial, differentiate the given based on x and equate to 0. C(x) = 400x - 0.2x² dC(x) / dt = 400 - 0.4 x = 0 The value of x is 1000. This is the value of the maxima. As the value of C(x) continously becomes lesser as the value of x is set higher, the minima is not identified. Substitute x to the original equation, C(x) = (400)(1000) - 0.2(1000²) = $ 200,000Thus, the answer is letter B.
anu borrows 12,500 as 12% per annum for 3 years at simple interest find the simple interest she has to pay at the end of 3 years
Answer:
The interest is 4,500
Step-by-step explanation:
We use the simple interest formula,
I = Prt
where
I = interest
P = principal amount = 12,500
r = interest rate = 12% = 0.12
t = time = 3 years
I = Prt
I = 12,500 × 0.12 × 3
I = 4,500
Please help it's urgent
Answer:
no solutions exist
Step-by-step explanation:
You can rewrite the denominator as:
-2(2x-6) so the equation becomes:
[tex]-\frac12 \cdot \frac{2x-6}{2x-6} > 0[/tex]
from which you can see that not only should x ≠ 3, but for all values of x≠3 the equation is false.
What is an equation of the line that passes through the points (0, -5) and
(-5,-1)?
Answer:
we find first slope
m=(-5+1)/(0+5)
m=-4/5
y-y1=m(x-x1)
y+ 5=(-4/5)(x-0)
5y+25=-4x
so equation is. 4x+5y+25=0
Answer:
y=[tex]-\frac{4}{5}[/tex]x-5
Step-by-step explanation:
The coordinates (0,-5) tells us the y intercept of the line, which is -5.
To find the equation of the line, we have to use the equation [tex]m=\frac{y2-y1}{x2-x1}[/tex] to find the slope of the line. Plug in the values of the other coordinates (-5,-1) into the equation, which would then leave you with :
m=[tex]\frac{(-1)-(-5)}{(-5)-0}[/tex]
we then solve for m(the slope) and we get:
m=[tex]-\frac{4}{5}[/tex]
so the equation of the line is y=[tex]-\frac{4}{5}[/tex]x-5
Can someone help me please !
Answer:
(3,-5)
Step-by-step explanation:
4+1=5 put it on negative side makes it -5.
Simplify 3^(eight) divided by 3^(two)
Answer:
1/4
Step-by-step explanation:
Hope this Helps!
A bag contains four colors of marbles. The probability of randomly drawing out a yellow marble is 73%.
What is the probability of not drawing a yellow marble?
Enter the answer in the box.
Probability of not drawing a yellow marble =
Answer:
2.92%
Step-by-step explanation:
Bashir and his friend are renting I 2 bedroom, 2 bathroom property together. The monthly rent is
4
$1,150.00 and monthly utilities will average $485.00. Bashir will pay 4/5 of the rent since his bedroom is
larger, but they will split the cost of utilities equally. Determine what amount Bashir will pay each
month for rent and utilities
$242.50
$920.00
$817.50
$1,162.50
Answer:
d. $1162.50
Step-by-step explanation:
485 ÷ 2 = 242.50
1150 = 5/5 (100%)
÷ 5
230 = 1/5 (20%)
× 4
920 = 4/5
920 + 242.5 = $1162.50
Help me please help
Answer:
165°
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6. Leveled Practice Resting heart rate is a measure of how
fast the heart beats when a person is not performing
physical activity. The graph shows the number
of heartbeats over time for a given person.
a. Use two sets of coordinates to write an equation
to describe the relationship.
280 -
II
m is
-2
y=
Х
The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
m = (280 - 140)/ (4 - 2) = 70
The equation of the line from the graph.
y = 70x
The heart's resting heart rate is 70 beats per minute.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The following coordinates are from the given graph.
(1, 70), (2, 140), (3, 210), and (4, 280)
Now,
m = (280 - 140)/ (4 - 2) = 140/2 = 70
The equation from the graph can be written as,
y = mx + c
(1, 70) = (x, y)
70 = 70 x 1 + c
c = 70 - 70
c = 0
So,
The equation of the line from the graph.
y = 70x
1 minute = 70 heartbeats.
The heart's resting heart rate is 70 beats per minute.
Thus,
m = (280 - 140)/ (4 - 2) = 140/2 = 70
The equation of the line from the graph.
y = 70x
The heart's resting heart rate is 70 beats per minute.
Learn more about coordinates here:
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Two angles are complementary angles, if ∠A measures 38 ° , What is the measurement of the other angle?
Answer:
52°
Step-by-step explanation:
complementary angles sum to 90° , then the measure of the other angle is
90° - 38° = 52°
How many millimetres are there in 7.4 centimetres?
Answer:
74
Step-by-step explanaction
Formula=multiply the length value by 10
Please help i need to complete this by tomorrow
Answer:
ED: 6.5 cm BE = 14.4 cm
Step-by-step explanation:
Add 20 and 5 to get side AC.
25/20 gives us the scale factor to go from 25 triangle ABE to triangle ACD.
Multiply 26 by the SF to get AD.
Subtract length of AD by AE to get ED. You should get 6.5 cm (don't forget units!!!!)
To go from triangle ACD to triangle ABE, we can do 20/25 to get the scale factor.
Using that number, multiply it with 18 to get BE.
The answer should be 14.4 cm.
This is possible because the two triangles ACD and ABE are similar via the angle angle angle similarity theorem depicted in my screenshot.
Answer:
ED = 6.5 cm , BE = 14.4 cm
Step-by-step explanation:
Δ ABE and Δ ACD are similar ( by the AA postulate ) then the ratios of corresponding sides are in proportion, that is
(a)
[tex]\frac{AD}{AE}[/tex] = [tex]\frac{AC}{AB}[/tex] ( substitute values )
[tex]\frac{AD}{26}[/tex] = [tex]\frac{25}{20}[/tex] ( cross- multiply )
20 AD = 650 ( divide both sides by 20 )
AD = 32.5
Then
ED = AD - AE = 32.5 - 26 = 6.5 cm
(b)
[tex]\frac{BE}{CD}[/tex] = [tex]\frac{AB}{AC}[/tex] ( substitute values )
[tex]\frac{BE}{18}[/tex] = [tex]\frac{20}{25}[/tex] ( cross- multiply )
25 BE = 360 ( divide both sides by 25 )
BE = 14.4 cm
Please Help! Malik agreed to practice basketball drills with a new player, Tyler, during practice. Malik's best friend, Samuel, doesn't like Tyler and asked Malik to practice with him instead.
What can Malik do to show integrity?
Give an explanation for them
1. What is scientific notation?
2. What does it mean to have no solution or many solutions to a problem when solving for x?
3. What is another way of writing: 2 x 2 x 2 x 2 (hint: use exponential form)
Answer:Scientific notation is a way of expressing real numbers that are too large or too small to be conveniently written in decimal form
Step-by-step explanation:
If x = 9 when y = 36 and x is directly
proportional to y, what is x when y= 6?
Answer:
1.5
Step-by-step explanation:
9 times 4 = 36
1.5 times 4 = 6
If x = 9 when y = 36 and x is directly proportional to y, then x will be 1.5, when y = 6.
What is directly proportional?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called constant of proportionality.
We know that
36 / 9 = 6 /x
Cross multiply;
36 · x = 9 · 6
Simplify;
36x = 54
Divide each side by 36;
36x ÷ 36 = 54 ÷ 36
Simplify;
x = 1.5
Learn more about directly inversely proportional;
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i do not what the answer for this Luca is mountain climbing with Tommy and has just climbed a 16-meter vertical rock face. Tommy is standing at the bottom of the cliff, looking up at Luca. If Tommy is 20 meters away from Luca, how far away from the cliff is Tommy standing?
Answer:
Plug in a = x, b = 16, c = 20
Step-by-step explanation:
After an increase of 25%, there were 800 students in Hockessin Middle School. How many students were at the middle school before the increase?? ( please answer!! )
How to determine if a series converges or diverges.
Pierre has 12 packages to send he sent two packages on Monday and to two more packages on Tuesday what fraction of the packages has Pierre sent so far
Answer:
1/3
Step By Step Explanation:
He has sent 4/12 packages which is reduced to 2/6 which is reduced to 1/3.
The two circle graphs show the popularity of five subjects in a high school in 2000 and again in 2008. Students were asked to name their favorite subject each year. The total student population was the same in 2008 as it was in 2000. What do the graphs show? A) More students chose chemistry in 2008. B) Math was chosen more often in 2008 than in 2000. C) Twice as many students picked history in 2008 as did in 2000. D) English was the second most popular subject in both 2000 and 2008.
Answer:
Gross Domestic Product (GDP) includes all final goods and services produced within a country, in a specific period and doesn't necessarily include all the transactions that are going in the economy.
For example: Used domestic car buying or selling won't be counted for the GDP of current year, as it was manufactured and sold in 2000.\]Step-by-step explanation:
Let's check one by one
#1
Chemistry remains 13%False
#2
Yes 5%-->7% increaseTrue
#3
Yes 15(2)=30%True
#4
In 2000 but not in 2008False
Which of the following is the function f(x) if F"(x) = { +3?
A. f(x) = 8(x-3)
B. f(x) = 8(x + 3)
C. f(x) = 8x+3
D. f(x) = 8x-3
Answer:
C C C C C.....is a function
which type of transformation maps triangle GFH onto triangle G'F'H'
translation
reflection
rotation
dilation
Answer:
ROTATION IS THE CORRECT ANSWER!
Step-by-step explanation:
Cuz
Answer:
rotation is correct! :))
Step-by-step explanation:
bc when i clicked rotation, the answer was valid and correct.
Need help
I will give brainliest
Answer:
4c=12
Step-by-step explanation:
In the chart, it shows 12 and 4 c. Since they equal the same thing, the equation is 4c=12.
Evaluate y = 3x, when x = -4.
A
y = -12
y = 1/81
y = -81
Answer:
y = -12
Step-by-step explanation:
Plug the value of x (-4) into the original equation and solve:
y = 3(-4)
y = -12
Pls help me
AND
PLS FOLLOW THE RULES
TROLL FOR POINTS= REPORT
FIRST AND CORRECT ANSWER= BRAINLIEST
( NO LINKS ) at all
Answer:
20 miles :)
Step-by-step explanation:
Pythagorean theorem formula: 16^2 + 12^2 = c^2
256 + 144 = c^2
400
[tex]\sqrt{400}[/tex] = 20
C = 20
Have an amazing day!!
Please rate and mark brainliest!!