Answer:
r<-2
Step-by-step explanation:
What value(s) of b will cause 3x2 + bx + 3 = 0 to have one real solution? Select all that apply.
b = –6
B.b = –9
C.b = 6
D.b = 9
Answer: -6 and 6
Step-by-step explanation:
Possible factors that could produce 3x² + 6x +3 are (x + 1)(3x + 3)
the solution for values of x: x+1=0, x= -1 3x+3=0, 3x= -3 . x= -1 . Same.
Possible factors that could produce 3x² - 6x +3 are (x - 1)(3x - 3)
the solution for values of x: x-1=0, x= 1 3x-3=0, 3x= 3 . x= 1 . Same.
From the attached graph of the possible equations, you can see that 9 and -9 won't produce ONE real solution. They each have "zeros" at two points on the x-axis. That is two solutions that would make x = 0.
The equations with -6 and +6 each touch the x-axis at only one point each.
please answer fast :(((
Answer:
KP = 6
Step-by-step explanation:
From the information given, K is the centroid.
Therefore, based in the centroid theorem:
KP = ⅓(AP)
AP = 18
Plug in the value of AP into the equation
KP = ⅓(18)
KP = 6
Tabitha used canvas fabric to make a tent for her dog. The number line shows the number of yards she used.
Answer:
7/8 because there are 4 dashes and the point is right in the middle of them, making it so the denominator is 8, you figure out the 7 because 8/8 would be 1, and the point is right before 1 so it has to be 7/8
Step-by-step explanation:
Answer:
D) 7/8
Step-by-step explanation:
I'm also on Edge and am on this same question. Credit to the other person for also saying 7/8 and being right :D
Snow Dome Ski Resort has 75 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resort has 68 inches of snow. Currently it is snowing there at a rate of 2 inches per hour.
a) Make a table or a graph showing the amount of snow from 0 to 10 hours at each resort if the snow continues falling at this rate.
b) Indicate on your table or graph where the amount of snow will be the same at both resorts.
Answer:
a. See explanation for table
b. The 7th hour
Step-by-step explanation:
Given
Ski Resort
[tex]Base\ Snow = 75in[/tex]
[tex]Rate = 1in[/tex] hourly
Mt. Winterpark
[tex]Base\ Snow = 68in[/tex]
[tex]Rate = 2in[/tex] hourly
First, we need to illustrate the amount of snow as an equation in both cases.
[tex]Amount = Base\ Snow + Rate * Time[/tex]
Let x be number of hours. and y be the amount of snow
So:
Ski Resort
[tex]y= 75 + 1* x[/tex]
[tex]y= 75 + x[/tex]
Mt. Winterpark
[tex]y= 68 + 2 * x[/tex]
[tex]y= 68 + 2x[/tex]
Next, we make a table to show the data.
When [tex]x = 0[/tex]
Ski Resort: [tex]y = 75 + 0 = 75[/tex]
Mt. Winterpark: [tex]y = 68 + 2(0) = 68[/tex]
When [tex]x = 1[/tex]
Ski Resort: [tex]y = 75 + 1 = 76[/tex]
Mt. Winterpark: [tex]y = 68 + 2(1) = 70[/tex]
When [tex]x = 2[/tex]
Ski Resort: [tex]y = 75 + 2 = 77[/tex]
Mt. Winterpark: [tex]y = 68 + 2(2) = 72[/tex]
When [tex]x = 3[/tex]
Ski Resort: [tex]y = 75 + 3 = 78[/tex]
Mt. Winterpark: [tex]y = 68 + 2(3) = 74[/tex]
When [tex]x = 4[/tex]
Ski Resort: [tex]y = 75 + 4 = 79[/tex]
Mt. Winterpark: [tex]y = 68 + 2(4) = 76[/tex]
When [tex]x = 5[/tex]
Ski Resort: [tex]y = 75 + 5 = 80[/tex]
Mt. Winterpark: [tex]y = 68 + 2(5) = 78[/tex]
When [tex]x = 6[/tex]
Ski Resort: [tex]y = 75 + 6 = 81[/tex]
Mt. Winterpark: [tex]y = 68 + 2(6) = 80[/tex]
When [tex]x = 7[/tex]
Ski Resort: [tex]y = 75 + 7 = 82[/tex]
Mt. Winterpark: [tex]y = 68 + 2(7) = 82[/tex]
When [tex]x = 8[/tex]
Ski Resort: [tex]y = 75 + 8 = 83[/tex]
Mt. Winterpark: [tex]y = 68 + 2(8) = 84[/tex]
When [tex]x = 9[/tex]
Ski Resort: [tex]y = 75 + 9 = 84[/tex]
Mt. Winterpark: [tex]y = 68 + 2(9) = 86[/tex]
When [tex]x = 10[/tex]
Ski Resort: [tex]y = 75 + 10 = 85[/tex]
Mt. Winterpark: [tex]y = 68 + 2(10) = 88[/tex]
Hence, the table is:
x ---- Ski Resort ---- Mt. Winterpark
0 --------75 ----------- 68
1 --------76 ----------- 70
2 --------77 ----------- 72
3 --------78 ----------- 74
4 --------79 ----------- 76
5 --------80 ----------- 78
6 --------81 ----------- 80
7 --------82 ----------- 82
8 --------83 ----------- 84
9 --------84 ----------- 86
10 -------85 ----------- 88
(b)
From the table, the amount of snow is the same at the 7th hour and the snow is 82 inches
7•7•7•7+1+1 exponent
Answer:
The right answer is 2,403
Step-by-step explanation:
tarting at elevation zero, Zen climbs to an elevation of 4,646.4 feet to reach the Cragway Trail. From there, he hikes up another 1,817.6 feet to the Calloway Peak Summit, the highest point on Grandfather Mountain. Based on these numbers, the Calloway Peak Summit is at a height of
feet.
On his return trip, Zen descends from the Calloway Peak Summit to an elevation of 2,402.5 feet, arriving at the Flat Rock Junction. So, the elevation at Flat Rock is
feet.
Answer:
Calloway Peak is 6,464 Feet. And Flat Rock is 4061.5 Feet
Step-by-step explanation:
For Calloway Peak Started at 0 so 4646.4+1817.6=6,464
Zen then descends which means he walked back down 2402.5 feet.
To find Flat Rock you subtract the height of Calloway Peak by 2402.5 the amount that he walked back down to get how tall Flat Rock is in Feet
6464-2402.5=4061.5 Feet
So Flat Rock is 4061.5 Feet tall.
help
graph
i understand it but will it be to the right or left
Answer:I believe left
Step-by-step explanation:
Marcus graphed a point on the number line. A number line going from 0 to 1 with 8 equal spaces between 0 and 1. A point is marked on the line half-way between 0 and 1. What fractions did he graph? Check all that apply.
Answer:
A,C,D
Step-by-step explanation:
I got it right :D
Solve the inequality
Answer:
x<2
Step-by-step explanation:
5x+10>14x-8
18>9x
2>x
Help please *an image is attached*
Help please it’s supposed to be turned in
Answer:
30 i believe
Step-by-step explanation:
hope this helps. i say 30 because thats the only common multiple in those numbers :P
The equation of this line is y = 7x + 3. What would happen to the graph if the equation was changed to y = 2x + 6?
Answer:
From the graph,
The line y = 7x + 3 is represented by a red line with y-intercept (0, 3)The line y = 2x + 6 is represented by a blue line with y-intercept (0, 6)it is clear that the slope and y-intercept have been changed.
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept
Given the equation of a line
y = 7x + 3
comparing with a slope-intercept form of the line equation
y = mx+b
Here,
The slope = m = 7
y-intercept = b = 3
Now, the equation changed to y = 2x + 6
y = 2x + 6
comparing with a slope-intercept form of the line equation
y = mx+b
Here,
The slope = m = 2
y-intercept = b = 6
Thus, if the equation was changed to y = 2x + 6, the slope and y-intercept also get changed from m = 7 to m = 2 and b = 3 to b = 6 respectively.
The lines of both equations is also attached.
From the graph,
The line y = 7x + 3 is represented by a red line with y-intercept (0, 3)The line y = 2x + 6 is represented by a blue line with y-intercept (0, 6)it is clear that the slope and y-intercept have been changed.
What is proportional reasoning and how does it help you solve percent equations?
Answer:
We can't set up a proportion to solve for x in a percent equation. For example, 34/100=5/x
Step-by-step explanation:
I need some help on this
Answer:
b, k = -4
Step-by-step explanation:
3/2 = k + 11/2
=> 3/2 - 11/2 = k
=> -8/2 = k
=> k = -4
Answer:
the answer to this problem is -4
Taylor invested $11,000 in an account paying an interest rate of 3-5% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest dollar, would be in the account after 14 years?
Answer: 17955
Step-by-step explanation:
Marta used a coupon to save $3.50 on a book she bought. when marta bought the book,she gave the Clark a $20.00 bill,and the coupon.the sales gave Marta $9.01 in change.
Answer: OMG MY HERO ACADEMIA I LOVE YOUR PROFILE PICTURE!!!!!!!!!
Step-by-step explanation: Thanks for the points!!!! :)
8.A wedding venue holds no more than 485 guests. If 319 people have said they are attending, how many more people does the venue have room for?
Answer:
They have room for 166 more people.
Step-by-step explanation:
485 - 319 = 166
Answer:
166 people.
Step-by-step explanation:
If there is room for 485 and 319 people are coming, just subtract. 485-319=166.
There are 15 members of the show choir. In how many different ways can you arrange any 8 members in the front row? Show work. I will give brainliest!
Answer:
259,459,200 ways.
Step-by-step explanation:
That is the number of permutations of 8 from 15.
= 15! / 15-8!
= 15! / 7!
= 15*14*13*12*11*10*9*8
= 259459200
A 6.50% coupon bond with 18 years left to maturity is offered for sale at $1,035.25. What yield to maturity [interest rate] is the bond offering? Assume interest payments are paid semi-annually, and solve using semi-annual compounding. Par value is $1000.
Answer:
The yield to maturity is 6.3974%
Step-by-step explanation:
The computation of the yield to maturity is as follows
Given that
NPER = 18 × 2 = 36
PMT = $1,035.25 × 6.50% ÷ 2 = $33.65
PV = $1,035.25
FV = $1,000
The formula is shown below:
=RATE(NPER;PMT;-PV;FV;TYPE)
The present value comes in negative
AFter applying the above formula, the yield to maturity is
= 3.1987% × 2
= 6.3974%
Hence, the yield to maturity is 6.3974%
help me.............
Answer:
is there a right angle?
Step-by-step explanation:
2u = u + 43
u = 43?
Given sec A= and that angle A is in Quadrant I, find the exact value of csc A in
simplest radical form using a rational denominator.
Need help :(
The required value is [tex]\csc A=\dfrac{5}{4}[/tex].
Important information:
[tex]\sec A=\dfrac{5}{3}[/tex]Angle A is in Quadrant I.We need to find the exact value of csc A.
Trigonometric Ratios:Formulae used: If angle A is in Quadrant I.
[tex]\cos A=\dfrac{1}{\sec A}[/tex]
[tex]\sin A=\sqrt{1-\cos^2 A}[/tex]
[tex]\csc A=\dfrac{1}{\sin A}[/tex]
Using these formulae, we get
[tex]\cos A=\dfrac{3}{5}[/tex]
And,
[tex]\sin A=\sqrt{1-\left(\dfrac{3}{5}\right)^2}[/tex]
[tex]\sin A=\sqrt{1-\dfrac{9}{25}}[/tex]
[tex]\sin A=\sqrt{\dfrac{16}{25}}[/tex]
[tex]\sin A=\dfrac{4}{5}[/tex]
Now,
[tex]\csc A=\dfrac{1}{\sin A}[/tex]
[tex]\csc A=\dfrac{1}{\frac{4}{5}}[/tex]
[tex]\csc A=\dfrac{5}{4}[/tex]
Thus, the required value is [tex]\csc A=\dfrac{5}{4}[/tex].
Find out more about 'Trigonometric Ratios' here:
https://brainly.com/question/2263794
The required value of cscA is 1.25
Given,
[tex]secA=\frac{5}{3}[/tex]
Trigonometrical ratios:
In the first quadrant, all ratios are positives.
[tex]sin A=\frac{P}{H}[/tex]
And the value of hypotenuse is,
[tex]P=\sqrt{H^2-B^2} \\=\sqrt{5^2-3^2} \\=\sqrt{16}\\ P=4[/tex]
So, the sine A is,
[tex]sinA=\frac{P}{H}\\ =\frac{4}{5}[/tex]
So, the rational denominator is,
[tex]cscA=\frac{H}{P}\\ =\frac{5}{4}\\=1.25[/tex]
Learn More about Trigonometrical ratios:
https://brainly.com/question/24349828
Question 17 options:
It is known that the number of hours a student sleeps per night has a normal distribution. The sleeping time in hours of a random sample of 8 students is given below. See Attached Excel for Data.
sleep hours data.xlsx (8.6
8.3
7.6
6
7.1
5.6
5.1
6
Compute a 92% confidence interval for the true mean time a student sleeps per night and fill in the blanks appropriately. We have 92 % confidence that the true mean time a student sleeps per night is between
Answer:
We have 92 % confidence that the true mean time a student sleeps per night is between (-0.25, 1.61).
Step-by-step explanation:
Compute the sample mean and sample standard deviation as follows:
[tex]\bar x=\frac{1}{n}\sum X=\frac{54.3 }{8}=6.788\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 11.8288}=1.299[/tex]
Since, the sample standard deviation is computed the t-statistics will be used for the confidence interval.
The critical value of t for (n - 1) degrees of freedom and 92% confidence level is:
[tex]t_{\alpha/2, (n-1)}=t_{0.04, 7}=2.046[/tex]
*Use a t-table.
Compute the 92% confidence interval for the true mean time a student sleeps per night as follows:
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\frac{s}{\sqrt{n}}[/tex]
[tex]=6.788\pm 2.046\times\frac{1.299}{\sqrt{8}}\\\\=6.788\pm 0.9392\\\\=(-0.2504, 1.6080)\\\\\approx (-0.25, 1.61)[/tex]
We have 92 % confidence that the true mean time a student sleeps per night is between (-0.25, 1.61).
How many solutions does the equation 4x + 8 = -2 - 2 + 5x have? (5 points)
Two
One
None
Infinitely many
Answer:
i believe it only has one solution, which would be x=12.
Step-by-step explanation:
Answer:
write Then finding matrix the system as a matrix equation, solve a matrix equation by the inverse of the coefficient , S 4X-5v=lle 25x-ley=19 X-ley= 19
Step-by-step explanation:
its in answer
70% of the 30 sandcastles at Donatello Beach have moats. how many more moats are there
Answer:
21 moats
Step-by-step explanation:
.70 x 30 = 21
rename 1/4 and 1/8 using the least common denominator ( help pls )
Answer:
2/8 and 1/8
Step-by-step explanation:
what does x equal?
4x+7=31
Answer:
x = 6
Step-by-step explanation:
First, subtract 7 from both sides to get x alone. That will give you 4x = 24 .
Then divide both sides by 4 to remove the coefficient of x. That means x = 6.
4x+7=31
-7 -7
4x=24
÷4 ÷4
x = 6
Give an example of a sequence whose first term is positive, whose second and third terms are negative, and the rest are positive.
If you are asking for just an arbitraty sequence, here it goes:
[tex]a_n=\{3,-5,-8,1,1,1,1,\dots\}[/tex]
9/10 of alien races think invading Earth is a bad idea.
What percentage of alien races think invading Earth is a bad idea?
____%
What is the probability that the highest level of education of an adult is a high school diploma, given that they have completed at least one of the education levels shown?
A. 0.04
B. 0.16
C. 0.47
D. 0.84
Answer:
Probability = 0.04 (Approx)
Step-by-step explanation:
Given:
High school diploma = 0.03
Total holder = 0.03+0.44+0.26+0.11 = 0.84
Find:
Probability
Computation:
Probability = 0.03 / 0.84
Probability = 0.0357
Probability = 0.04 (Approx)
answer the following correctly
Answer:
[tex] y = -\frac{10}{3}x - 23 [/tex]
Step-by-step explanation:
Find slope (m) using of the line that passes through (-9, 7) and (-6, -3).
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 7}{-6 -(-9)} = \frac{-10}{3} = -\frac{10}{3} [/tex]
Find y-intercept (b) by substituting m = -10/3, x = -6, and y = -3 in y = mx + b.
Thus:
-3 = (-10/3)(-6) + b
-3 = 20 + b
Subtract 20 from each side
-23 = b
b = -23
substitute m = -10/3, and b = -23 in y = mx + b, to get the equation.
The equation of the line would be:
✅ [tex] y = -\frac{10}{3}x + (-23) [/tex]
[tex] y = -\frac{10}{3}x - 23 [/tex]