Answer:
The solution set is {4, -1}
Step-by-step explanation:
6x²- 18x -18 = 6
6x²- 18x -18 - 6 = 0
6x²- 18x -24 = 0
6(x² - 3x - 4) = 0
6(x - 4)(x + 1) = 0
6 = 0 not true
x - 4 = 0 ; x + 1 = 0
x = 4 x = - 1
The solution set is {4, -1}
1. Find the x and y intercept for the function 3x-4y=12
Step-by-step explanation:
To easily solve this problem we need to know two facts:
the y-intercept is 'c' when a line is in the slope-intercept form (y = mx + c)the x-intercept occurs when y = 0Slope-intercept form
Since 3x - 4y = 12
3x - 12 = 4y
y = ³/₄ x - 3
∴ y-intercept is (0, -3)
Solve for x when y = 0
Since 3x - 4y = 12
3x - 4(0) = 12
x = 4
∴ x-intercept is (4, 0)
We can check our answer by graphing the line and seeing if it passes through the intercepts we calculated. Since it does (see graph below), then the answers we calculated are correct.
I need this really quick!!
Answer:
400 ft
Step-by-step explanation:
H = 160t - 16t^2 = 16t(10 - t)
The minimum/maximum of a quadratic function is always exactly in between the 0 points (or any other points with equal value, as a parabole is symmetrical).
Let's solve for H = 0
16t(10-t) = 0
t = 0 or 10 - t = 0
t1 = 0, t2 = 10
the maximum is at (t1+t2)/2 = 5
H(5) = 16*5(10-5) = 80*5 = 400
Tom knew that he needed to have at least
$60 to buy a bus ticket. He had $150 in his
bank account and each month he paid his
phone bill. If his phone bill is $30 a month,
how many months can he pay his phone bill
and still have enough for his bus ticket?
What is the value of the expression below?
|3| + |-3| + |-1|
Answer:
7
Step-by-step explanation:
After a number is taken out of the absolute value sign, it becomes positive. Therefore, |3| = 3, |-3| = 3, and |-1| = 1. Adding these up, we get 3 + 3 + 1 = 7
does anyone know this i need it fast
candy comes in large bags of 75 candies, a 1 pound bag, and a large bags with multiple fun-size packs. Jenny randomly opened 12 of the fun-size packs of candies from a bag. The colors she found in each pack are shown in the table.
How does the mean number of reds found in the samples compare to the mean number of purples? Is Jenny more likely to get more of one particular color if she opened 12 more packs of candies.
Answer:
the mean of the red is 1.75, while the mean of the purple is 2.25
Step-by-step explanation:
LMK if this helps!
hope it does!
The mean number of red (1.75) is 0.5 less than the mean number of purple.
What is Mean?Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.
Candy comes in large bags of 75 candies, a 1 pound bag, and large bags with multiple fun-size packs.
Jenny randomly opened 12 of the fun-size packs of candies from a bag.
The mean number of reds will be
[tex]\rm Mean_{r} = \dfrac{2+1+4+2+1+2+1+0+1+3+3+1}{12}\\\\Mean_{r} = \dfrac{21}{12}\\\\Mean_{r} = 1.75[/tex]
The mean number of purples will be
[tex]\rm Mean_p = \dfrac{2+2+1+3+5+2+2+2+4+2+2+0}{12}\\Mean_p = \dfrac{27}{12}\\\\Mean_p =2.25[/tex]
The mean number of red (1.75) is 0.5 less than the mean number of purple.
More about the mean link is given below.
https://brainly.com/question/521501
-3/4(x+2)=6
What is the answer please explain how u got it
Step-by-step explanation:
1.) distribute (-3/(4x+8)=6)
2.) move 8 (-3/4x=-2)
3.) multiply by 4x (-3= -8x)
4.) divide by -8 (x=2.6)
:)
A college professor wants to survey a sample of students taking his course. Here are some details about his course:He teaches555 sections of the course.There are250250250 total students across those sections.There are505050 graduate students and200200200 undergraduate students taking the course.Each section has about505050 students (some graduate and some undergraduate).The professor wants to take a sample of303030 students for a survey. He suspects that opinions on the survey may differ the most based on student type (graduate or undergraduate), so he wants to design his sample to take that into account.
Answer:
d
took the test
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
khan academy
find slope and y-intercept
5x+3y=-6
Answer:
[tex]m=-\frac53; q=-2[/tex]
Step-by-step explanation:
Let's bring the line in the classical [tex]y=mx+q[/tex] form
[tex]3y= -5x-6\\y=-\frac53 x -2[/tex]
At this point we have the two values [tex]-\frac53[/tex] for the slope and [tex]2[/tex] for the intercept
Demonstrate your knowledge by giving clear, concise solutions to each problem. Be sure to include all relevant drawings and justify your answers (show all your work). You may show your solution in more than one way to investigate beyond the requirements of the problem. 1. Some important formulas are given below Area of a circle is A=πR^2 where r is the radius of the circle.
A)Write a formula for the area of the figure below. (5pts)
Answer:
A = 8a + [tex]\frac{1}{2}[/tex]πa²
Step-by-step explanation:
The figure consists of a rectangle and a semi- circle
area of rectangle = 4 × 2a = 8a
area of semi- circle = [tex]\frac{1}{2}[/tex]πr² ( r is the radius = a )
= [tex]\frac{1}{2}[/tex]πa²
Then area (A ) of figure is
A = 8a + [tex]\frac{1}{2}[/tex]πa² ← factor out [tex]\frac{1}{2}[/tex] a from each term
= [tex]\frac{1}{2}[/tex] a(16 + aπ)
Evaluate or Simplify: (5^2 × 6^2/(30)^4)^3
Step-by-step explanation:
Given that:
[{5² × 6²}/{(30)⁴}]³
⇛[{5² × 6²}/{(5 × 6)⁴}]³
⇛[{5² × 6²}/{(5⁴ × 6⁴}]³ [∵(ab)ᵐ= aᵐbᵐ]
⇛[{5²/5⁴} × {6² × 6⁴}]³
⇛[5^(2-4) × 6^(2-4)]³ [∵aᵐ/aⁿ = aᵐ-ⁿ]
⇛[5^-2 × 6^-2]³ [∵aᵐbᵐ = (ab)ᵐ]
⇛[(5×6)^-2]³
⇛[30^-2]³
⇛[30]^-2×3 [∵(aᵐ)ⁿ = aᵐⁿ]
⇛30^-6. [∵(a^-ⁿ = 1/a^n]
⇛1/(30)⁶ ≈ 72 90 00 000 Ans.
Hope this helps!!
If you have any doubt, then you can ask me in the comments.
Which expression below is equivalent?
A. 7x+x+8=16x
B. x+x+1+1=2x+2
C. 5(x+3)=5x+5
D. 9x−18=9(x+2)
Lets look at each one:
A. 7x+x+8=16x
This left side will be 8x + 8, so its wrong.
B. x+x+1+1=2x+2
This left side will be 2x + 2, it is right!
C. 5(x+3)=5x+5
This left side will be 5x+15, so its wrong.
D. 9x−18=9(x+2)
This left side will be 9(x-2), so its wrong.
Our answer is going to be B) x+x+1+1=2x+2
x + x = 2x
1 + 1 = 2
2x + 2
I hope this helps! :)
How many lines of symmetry does the figure have?
Answer:
9
Step-by-step explanation:
just count it!!
hope its help
Which expression is equivalent to n2 + 26n + 88 for all values of n?
(n + 8)(n + 11)
(n + 4)(n + 22)
(n + 4)(n + 24)
(n + 8)(n + 18)
Answer:
Option B is correct.
Step-by-step explanation:
Our expression is:
n² + 26n + 88Let's check all of our options to see if any option is accurate.
Option A:
(n + 8)(n + 11)
=> n² + 11n + 8n + 88
=> n² + 19n + 88
n² + 19n + 88 ≠ n² + 26n + 88
Option B:
(n + 4)(n + 22)
=> n² + 22n + 4n + 88
=> n² + 26n + 88
=> n² + 26n + 88 = n² + 26n + 88 ✔
Option C:
(n + 4)(n + 24)
=> n² + 24n + 4n + 96
=> n² + 28n + 96
=> n² + 28n + 96 ≠ n² + 26n + 88
Option D:
(n + 8)(n + 18)
=> n² + 18n + 8n + 144
=> n² + 26n + 144
=> n² + 26n + 144 ≠ n² + 26n + 88
Conclusion:
So, after working on this problem, we can conclude that Option B is our answer. Hoped this helped
Answer:
B
Step-by-step explanation:
edge 22'
Iro drives 50 miles/hour for 0.6 hours. Kalini drives 65
miles/hour for 0.5 hours.
Who drove farther, and how far did that person drive?
Answer:
iro 50*.6 gives us 30 miles
andkalini drives 65 for .5 65*.5= 32.5 miles
so kalini drove further
I NEED HELP!!!!!!!!!!!!
Answer:
Step-by-step explanation:
123
Olivia works at a travel agency. She earns 7% commission her sales of airline tickets. How much does she earn when she sells 4 airline tickets, each costing $359.50
Answer:
$100.66
Step-by-step explanation:
First you have to figure out how much she is making from all four tickets, so 4 x 359.50 is $1,438
She makes 7% commission. In decimal form, that is .07. In order to find what she made, multiply .07 by $1,438.
Olivia makes $100.66
solve pls brainliest
Answer:
Step-by-step explanation:
Simple interest is the agreed upon amount that was first deposited. Even if the depositor leaves his interest in the account, the amount paid is on the account is on the 5000 dollars, not the 5100 it will be at the end of the second year.
i = p * r * t
p = 5000 dollars
r = 2% each year
i = 2/ 100 = 0.02
i = 5000 * 2/100 * 2
i = 200 dollars after 2 years.
The price of a t-shirt is $15. If you buy more than 4 shirts, you will get 15% discount. How much do you have to pay (before tax) if you buy 8 shirts?
Identify the sampling method used:
A random sample of 10 people from each of three different age categories were selected and asked how they would rate a new television show.
Using sampling concepts, it is found that a Stratified sample was used.
Samples are classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. However, only some elements of each group are surveyed.In this problem, the population is divided into groups, according to the three different age categories, and then 10 people from each category is selected(that is, not all members), hence it is a stratified sample.
A similar problem is given at https://brainly.com/question/23106151
Does someone have this answer???? Thank you so much
Answer: 3
Step-by-step explanation:
We know that p(t) = 11:
11=2t+5
11-5=2t
6=2t
6/2 = t
3 = t
Solve equations with variables on both sides
1/3+5/3r–r=2r
Answer:
r=1/4
Step-by-step explanation:
Answer:
r = 1/4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex](\frac{5}{3}r - r) + (\frac{1}{3}) = 2r[/tex] [tex]\frac{2}{3}r+\frac{1}{3} = 2r[/tex]Step 2: Subtract 2r from both sides.
[tex]\frac{2}{3}r +\frac{1}{3} - 2r = 2r - 2r[/tex] [tex]\frac{-4}{3}r+\frac{1}{3}=0[/tex]Step 3: Subtract 1/3 from both sides.
[tex]-\frac{4}{3}r+\frac{1}{3} -\frac{1}{3} =0-\frac{1}{3}[/tex] [tex]-\frac{4}{3}r=-\frac{1}{3}[/tex]Step 4: Multiply both sides by -3/4.
[tex]-\frac{4}{3}r*\frac{3}{-4} =\frac{-1}{3} *\frac{3}{-4}[/tex] [tex]r = \frac{1}{4}[/tex]Therefore, r = 1/4.
what is the total length of the two ladders 11.4 ft. 5.8ft.
Answer:
17.2ft
Step-by-step explanation:
just add
11.4+5.8=17.2
What is the perimeter of this arrangement?
i need answer please
HELP I WILL GIVE BRAINLEST
sin(x) = 1/2 and the angles must be between 0 and 180.
We can take the arcsin(1/2) and we get 30 degrees, but that is only half of the answer.
There are two angles for which the y value on the unit circle outputs 1/2.
To find this other value which is in the second quadrant: 180 - 30 = 150.
The other angle is 150 and can be checked by solving sin(150) which outputs 1/2 so we know have the correct answer.
Smaller = 30 Larger = 150.
P.S make sure your calculator is in degree mode.
Look at the screen shot and answer the question. Please Explain !!
Answer:
see explanation
Step-by-step explanation:
- 4x + 3 < 23 ( subtract 3 from both sides )
- 4x < 20
x < - 5 ← Her error is on this step
When dividing by a negative quantity the symbol is reversed, that is
Divide both sides by - 4 and reversing the symbol gives
x > - 5
Solve pls brainliest
Answer:
$13.80
Step-by-step explanation:
69 · 20% = 13.8
you are given a fraction in simplest form. the numerator is not zero.when you write the fraction as a decimal,it is a repeating decimal. which numbers from 1 to 10 could be the denominator
Answer:
3, 6, 7, 9
Step-by-step explanation:
We can take a look at each value from 1 to 10
We see that for 3, 6, 7, and 9 the decimal repeats forever for some numerators. For example, 1/3 repeats forever, 4/6 repeats forever, 5/7 repeats forever, 1/9 repeats forever.
I beg you please help me with this
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.