Answer:
The equation -x2 + 6x - 9 = 0 has two real solutions.
Step-by-step explanation:
[tex] {b}^{2} - 4ac = {6}^{2} - 4( - 1)( - 9) = 0 [/tex]
The discriminant equals to 0, so the quadratic equation has 1 real solution.
What is the formula for guess work pricing?
Answer:
What is the formula for pricing?
Retail Price = Cost of Goods + Markup. Markup = Retail Price – Cost of Goods. Cost of Goods = Retail Price – Markup.
Step-by-step explanation:
two mountain bikers leave from the same parking lot and head in opposite directions on two different trails. the first rider goes 8km due east, then rides due south for 15km. The second rider goes 8km due west, then changes directions and rides 20 degrees west of due north for 15km. Both riders have been traveling for 23km, but which one is further from the parking lot?
Applying the required rule or theorem, it can be concluded that the second biker is farther from the parking lot. The distance of the bikers to the parking lot are:
i. First biker = 17.0 km
ii. Second biker = 20.22 km
The path of travel of both bikers would form a triangle. Applying the Pythagoras theorem to the path of the first biker would give his distance from the starting point. While applying the cosine rule to the path of second rider would gives his distance to the starting point.
Thus,
a. To determine the distance of the first biker from the parking lot.
Let the required distance be represented by x. Applying the Pythagoras theorem, we have:
[tex]hyp^{2}[/tex] = [tex]adj 1^{2}[/tex] + [tex]adj 2^{2}[/tex]
[tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]15^{2}[/tex]
= 64 + 225
= 289
x = [tex]\sqrt{289}[/tex]
= 17
x = 17 km
Thus, the first biker is 17.0 km from the starting point.
b. To determine the distance of the second biker from the parking lot.
Let the required distance be represented by x. So that applying the cosine rule, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ
[tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]15^{2}[/tex] - 2(15*8) Cos (180 - 20)
= 64 + 225 - 240 Cos 160
= 289 - 240 * -0.5
[tex]x^{2}[/tex] = 289 + 120
= 409
x = [tex]\sqrt{409}[/tex]
= 20.2237
x = 20.22 km
Thus, the second biker is 20.22 km from the starting point.
Therefore, the second biker is farther from the parking lot.
A sketch of the path of travel for the two bikers is attached for more clarifications.
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does 7x+3x-8 = 2(5x-4) have one solution, no solution, or infinitely many solutions?
Answer: only has one solution
Step-by-step explanation: If you find the answer for 7x+3x-8, youll get 10x+8. This will be the same answer for 2(5x-4). Making them equal and having only one solution
Answer:
x has infinite values.
Step-by-step explanation:
7x+3x-8 = 2(5x-4) = 7x+3x-8 = ||10x-8 = 10x-8||
In this case this we have the same eqations on both sides, x = anything.
In other words, x have infinite values.
An oil tanker is leaking at a constant rate per minute. After 11 minutes, 931 gallons of oil remain in the tanker. After 18 minutes, 633 gallons of oil remain in the tanker. Write the function f(t) that describes this scenario.
The function f(t) that describes this scenario will be A = -42.57t + 1399.28
Let the amount of oil remaining after time t be ALet the time taken be "t"
This required linear expression will be given as A= mt + b
Writing the gallons of oil and the time taken as a coordinate point (A, t), these are given as (11, 931) and (18, 633)
m is the rate of change = 633-931/18-11
m = -298/7
m = -42.57
Get the intercept;
633 = -42.57(18) + b
633 = -766.29 + b
b = 1,399.28
Heence the function f(t) that describes this scenario will be A = -42.57t + 1399.28
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The height y, in feet, of a football x seconds after it is thrown is modeled by the equation y = â€"16x2 24x 1. What information does the zero of the equation 6 = â€"16x2 24x 1 represent?.
The zero of the equation [tex]6 = -16x^2 + 24x + 1[/tex] represents the moment when the ball is 6 ft above the ground.
Given that,
The height y, in feet, of a football x seconds, after it is thrown is modeled by the equation,
[tex]\rm y = -16x^2 + 24x + 1.[/tex]
We have to determine,
What information does the zero of the equation [tex]6 = -16x^2 + 24x + 1[/tex] represent?
According to the question,
In the quadratic equation for the ball's height, it is found that the zero of the equation represents,
[tex]\rm 6 = -16x^2 + 24x + 1[/tex]
The instant of the time x is when the ball is 6 ft above the ground.
The height of the ball is y(x), after x seconds, is modeled by:
[tex]\rm y = -16x^2 + 24x + 1.[/tex]
The equation given is,
[tex]\rm 6 = -16x^2 + 24x + 1[/tex]
In which the height is 6 feet above the ground, and the zeroes are the instants of time when the ball is 6 ft above the ground.
Hence, These points represent the moment when the ball is 6 ft above the ground.
For more details about the Quadratic equation refer to the link given below.
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Which property is shown?
2.1= 2
identity property of multiplication
distributive property
commutative property of addition
associative property of multiplication
Answer:it’s distributive property
Step-by-step explanation:
120 to 140 what is the percent of change?
Answer:16.667%
Step-by-step explanation:
140 - 120 = 20
20 / 120 = 16.667%
Working together, Shawn and Hector can install a tile floor in 6 hours. It would take Shawn 9 hours to do the job alone. What is the value of r, Hectora's rate of work in part per hour?
The Hectora's rate of work in part per hour is 18 hours
Given the following parameters:
The time it takes Shawn and Hector to install a tile floor is 6 hoursTime taken by Shawn to install a tile is 9 hoursTime taken by Hectora to install a tile is r hoursTaking the sum of the reciprocals of the time taken;
1/6 = 1/9 + 1/r
1/r = 1/6 - 1/9
1/r = 9-6/54
1/r = 3/54
Cross multiply
3r = 54
r = 54/3
r = 18 hours
Hence the Hectora's rate of work in part per hour is 18 hours
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Answer:
Step-by-step explanation:
1/9
When testing a claim that the majority of adult Americans are against the death penalty for a person convicted of murder, a random sample of 491 adults is obtained, and 27% of them are against the death penalty (based on data from a Gallup poll). Find the P-value. Round to 4 decimals when necessary.
Using the z-distribution, it is found that the p-value is of 1.
At the null hypothesis, it is tested that the majority is not against the death penalty, that is:
[tex]H_0: p \neq 0.5[/tex]
At the alternative hypothesis, it is tested that the majority is against the death penalty, that is:
[tex]H_1: p > 0.5[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.In this problem, the parameters are: [tex]\overline{p} = 0.27, p = 0.5, n = 491[/tex].
Then, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.27 - 0.5}{\sqrt{\frac{0.5(0.5)}{491}}}[/tex]
[tex]z = -10.19[/tex]
Using a z-distribution calculator, for a right-tailed test, as we are testing if the proportion is greater than a value, the p-value is of 1.
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Find a solution to the inequality x > 4.
A. 8
B. 3
C. 4
D. 0
Answer:
8
Step-by-step explanation:
Isn't it simple because all other numbers are less than 4?
Which of the following equations have no solutions? Choose all answers that apply:
Answer:
All
Step-by-step explanation:
help with this graph please and thanks
Answer:
Okay, to graph this equation we need to graph the y-intercept first. This time its 7 for you, meaning 0,7. So graph (0,7) as your first point. Then we have your slope, which is -2/3`. So, from (0,7) we will do rise/run. So, our next point will be (3,5). We went down 2 and ran 3. Since its negative, we went DOWN.
-
if you want a third point, just ask!
-
Hope this helps.
-
<3
Can I get some help im not understanding this thing
Answer:
$500
Step-by-step explanation:
what I did was find the diffrence in 2002 and 2008 and its 6 and the difference between $200 and $350 its 150 so now you find the difference between 2008 and 2020 its 12 thats 2 times more than 6 so you need to do the same to the money and add 150 to 350 and its 500.
2002 - 2008 = 6 2008 - 2020 = 12
$200 - $350 = 150 $350 + 150 = $500
Which list shows the numbers below in order from least to greatest? 5.78,-5.9,58%,-(23)/(4) A -5.9,-(23)/(4),5.78,58%, C -5.9,-(23)/(4),58%,5.78 B -(23)/(4),-5.9,58%,5.78, D 58%,-(23)/(4),5.78,-5.9
Answer:
D
Step-by-step explanation:
What is the measure of <1?
What is the measure of <2?
Answer:
1) 98°
2) 65°
Step-by-step explanation:
Sum of the angles in any triangle = 180°
in first triangle the third inner angle = 180 - (18 + 80) = 82 then measure of (1) = 180 - 82 = 98°
The missing interior angle of the second triangle = 180 - 124 = 56° then measure of (2) = 180 - (59+56) = 65°
Hello!! can you please help me? I've been trying to answer this question for a while now, but I cant seem to figure it out. (9th grade Geometry).
solve one step equation
-8 + x = 10
Answer:
x=18
Step-by-step explanation:
10-(-8)=18
Addy spent $ 15 on supplies to make giant sugar cookies and plans to sell them at her neigthorhood bake sale for $2 each . She wants her profit after paying back expenses to be a least $ a. What inequality vould represent this situation? bRepresent the solution on a number 'ine. How many cookies does she need to sell to make at least 20?
Answer:
(1.25c) + (1p) ≥ 25
c is the amount of chocolate chip cookies
p is the amount of peanut butter cookies
Step-by-step explanation:
Write the equation for f(x)=x3
after being translated to the left
8 units and up 3 units.
Using translation concepts, the equation will be given by:
[tex]g(x) = (x + 8)^3 + 3[/tex]
The parent function is:
[tex]f(x) = x^3[/tex]
Shifting a function left 8 units means that [tex]g(x) = f(x + 8)[/tex], hence:
[tex]g(x) = f(x + 8) = (x + 8)^3[/tex]
Shifting a function up 3 units means that 3 is added to the function, that is, [tex]g(x) = f(x + 8) + 3[/tex], hence:
[tex]g(x) = f(x + 8) + 3 = (x + 8)^3 + 3[/tex]
Which is the desired equation.
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simple: get the Equation
Answer:
y=10x+10
Step-by-step explanation:
In the triangle, x = 3. Find y.
A) y = 6
B) y = 7
y= V3
D) y= 3.72
Answer:
Below.
Step-by-step explanation:
Using Pythagoras theorem, let's find y.
=> y² = 3² + 3²
=> y² = 9 + 9
=> y² = 18
=> y = √18
=> y = 4.24 (Estimated)
Unfortunately, there is no options of 'y = 4.24'. Please re-check the options you posted.
Hoped this helped.
how many solutions does the following system have?
-4x + 5y = 7
4x - 5y = -7
a. one solution
b. no solution
c. infinitely many solutions
Answer:
It has no solution since it is a simultaneously equation. And when you solve to find x and y it gives 0
(w-10x) (w+10x) Use the Identities to solve this question
We are provided that –
(w-10x) (w+10x)Applying identity –
a² - b² = (a + b)(a - b)[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf(w-10x) (w+10x)[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf w^2 - (10x)^2[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf w^2 -100 x^2[/tex]
write an expression that is equivalent to (-16)^-2
Answer:
1/256
Step-by-step explanation:
(-16)^-2
= 1/(-16)^2
= 1/ (-16· -16)
= 1/ 256
The total cost of renting a beach
house is a function of the number of
days the house is rented. The
owner of the beach house charges
$375 per day up to a maximum of 7
days plus a $100 cleaning fee. What
is the greatest value in the range for
this situation?
Answer: 147 votes
Beacause they need to find out what to do with the beach house
The greatest value in the range for this situation is $2,675.
What is a function?A function has an input and an output.
A function can be one-to-one or onto-one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Let the number of days the beach house is rented be represented by the variable "d".
If d is less than or equal to 7, then the total cost can be calculated as:
Total Cost = 375d + 100
If d is greater than 7, then the maximum cost would be reached by renting the house for 7 days and adding the $100 cleaning fee.
In this case, the total cost can be calculated as:
Total Cost = 375(7) + 100 = 2,675
Therefore,
The greatest value in the range for this situation is $2,675.
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Which is 5log x - 6log (x - 8) written as a single logarithm?
Answer:
log[x⁵/(x-8)⁶]
Step-by-step explanation:
5log(x) - 6log(x-8)
log(x⁵) - log((x-8)⁶)
log[x⁵/(x-8)⁶]
Triangle J K L is shown. Point M is the midpoint of side K L and point J is the midpoint of side J L. The length of K J is 12.8 meters, the lengths of J N and N L are 3.7 meters, and the lengths of K M and M L are 5.9 meters. Which statements about triangle JKL are true? Select two options. M is the midpoint of line segment KJ. N is the midpoint of line segment JL. MN = One-halfKJ MN = 4.4m MN = ML
Answer:
1 and 3
Step-by-step explanation:
Answer:
B) N is the midpoint of line segment JL.
D) MN = 1/2 KJ
Step-by-step explanation:
edgeeee
find g12 in the sequence -1,-3,-9,-27,....
a. -59,049
b. -177,147
c. 118,098
d. -19,683
Answer:
b. [tex]a_{12}=-177147[/tex]
Step-by-step explanation:
This is a geometric sequence:
[tex]a_n=a_1x^{n-1}[/tex]
where n is the index in the sequence and x is the common scale factor.
In the given sequence here, the common factor is 3:
[tex]-3\div-1=3\\-9\div-3=3\\-27\div-9=3[/tex]
That's the factor, and we know the first term is -1, so you can write the equation for this sequence:
[tex]a_n=(-1)(3)^{n-1}[/tex]
Finally, plug in 12 for n and solve:
[tex]a_{12}=(-1)(3)^{12-1}\\a_{12}=(-1)(3)^{11}\\a_{12}=(-1)177147\\a_{12}=-177147[/tex]
Even after that large purchase at Best Buy, you decide to go to Target to grab a few things that you missed. You purchase WWE 2K21 for $49.99, Starbucks Vanilla Coffee for $13.99, the new Keurig K550 for $179.99, and a pair of jeans for $17.99. The state sales tax is 6%.
What is the total selling price before tax?
How much is sales tax did you pay?
What was your total cost?
The total selling price before tax is $261.96.
The sales tax paid is $15.72.
The total cost is $277.68.
The total selling price before tax is the sum of the prices of the WWE 2K21, Starbucks Vanilla Coffee, new Keurig K550 and the jeans
$49.99 + $13.99 + $179.99 + $17.99 = $261.96.
Sales tax is the amount of money levied when a good or service is purchased. It is a percentage of the price of an item
Sales tax = tax rate x cost
6% x $261.96 = $15.72
The total price paid is the sum of the sales tax and the total selling price.
$15.72 + $261.96 = $277.68
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Explain how you would solve the problem below.
20% of 60