Answer:
2/3
Step-by-step explanation:
I assume the 2 after the j is a square. So, we bring the 21 to the other side by subtracting it from both sides, getting 144j^2=64. Now we divide to get 64/144 = j^2. Make sure NOT to simplify it, it's perfect right now. The square root of that is [tex]\sqrt{64}/ \sqrt{144}[/tex], or 8/12, which we can now simplify to 2/3. Hope this helps!
For this equation: I don't care what the answer is, I need to know how to solve for it. Thanks.
Which of the following sets shows all the numbers from the set {3, 4, 5, 6} that are part of the solution to the equation 5x + 4 < 29? (4 points)
{4, 5, 6}
{3, 4, 5}
{3, 4}
{3}
======================================================
Explanation:
Solve the inequality for x.
5x + 4 < 29
5x < 29-4
5x < 25
x < 25/5
x < 5
I subtracted 4 from both sides (step 2). Then I divided both sides by 5 to fully isolate x (step 4). The inequality sign stays the same the entire time.
Since x < 5, this means the original set {3,4,5,6} becomes {3,4} since these values make x < 5 a true statement. In other words, we erase 5 and 6 because something like 6 < 5 is false.
That's why {3, 4} is the final answer.
---------------
An alternative method is to go through the set {3,4,5,6} and plug those items one by one into the original inequality. If you get a true result, then it's part of the answer.
Let's try x = 3
5x + 4 < 29
5(3) + 4 < 29
15+4 < 29
19 < 29
We get a true statement at the end, so x = 3 is part of the solution set. A similar story happens for x = 4 as well.
If we tried x = 5, then,
5x + 4 < 29
5(5) + 4 < 29
25 + 4 < 29
29 < 29
which is false. No number is bigger than itself (or smaller than itself). Therefore, x = 5 is crossed out of the original set. You should get a false statement for x = 6, which means we'll kick this value out as well.
In which situation would you most likely factor out -1 from a trinomial?
A. When the coefficient of x is negative
B. When the constant term is negative
C. When the coefficient of x^2 is negative
Answer:
when the coefficient of x^2 is negative
Step-by-step explanation:
Write the equation of the line that passes through the points (0,8) and (-1,-4).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
a
Step-by-step:
Use slope formula to find the slope. (y - y)/(x - x)
Make sure the x and y in front of the minus is a pair that goes together, as well as the x and y behind the minus sign. So
8 - -4 goes on top, that's 12
0 - -1 goes under, thats 1
12/1 is the slope which is just 12. Use either point to fill in the second x and the second y in the point-slope equation. m is the slope.
y - y = m(x - x)
y - 8 = 12(x - 0)
y - 8 = 12x
John gets his haircut at Billy's Barbershop. The barbershop charges $25 for a haircut. John has a 20% off
coupon for his birthday. After the discount is applied, John tips Billy 18%. How much does John spend in total at
the barbershop?
amount
% = new
amount
25
20
Answer:
John spends $23.60 at the barbershop.
Step-by-step explanation:
convert all % to decimals (/100)
0.2 x 25 = 5
25 - 5 = $20
0.18 x 20 = 3.6
20 + 3.6 = $23.6
the histogram shows the GPAs of the students in george’s class. Estimate the mean of the data set displayed in the histogram.
Using the histogram, the mean of the data-set is estimated to be of 31.
The mean, given an histogram, is the sum of the halfway points of each interval multiplied by it's relative frequency.In this problem, the intervals and relative frequencies are:
The first interval has halfway point 23 and relative frequency [tex]\frac{4}{30}[/tex].The second interval has halfway point 28 and relative frequency [tex]\frac{8}{30}[/tex].The third interval has halfway point 33 and relative frequency [tex]\frac{14}{30}[/tex].The fourth interval has halfway point 38 and relative frequency [tex]\frac{4}{30}[/tex].Hence, the mean is:
[tex]E(X) = 23\frac{4}{30} + 28\frac{8}{30} + 33\frac{14}{30} + 38\frac{4}{30} = \frac{23(4) + 28(8) + 33(14) + 38(4)}{30} = 31[/tex]
For more on mean of histograms, you can check https://brainly.com/question/24651197
Mrs. Martin bought a flat screen that originally costs $220.00. If her coupon was for 30% off.
Answer:
66$
Step-by-step explanation:
[tex]300 \times \frac{30}{100} = 66[/tex]
4. Identify the zeros and the graph of the function y = x(x − 2)(x + 5).
The zeros of
y = x(x + 2)(x + 5)y=x(x+2)(x+5)
are
x=0,x=-2,x=-5x=0,x=−2,x=−5
EXPLANATION
The given function is
y = x(x + 2)(x + 5)y=x(x+2)(x+5)
To find the zeros of the above function, we just have to equate the function to zero and solve for x.
x(x + 2)(x + 5) = 0x(x+2)(x+5)=0
This implies that,
x = 0 \: \: or \: x + 2 = 0 \:or \: x + 5 = 0x=0orx+2=0orx+5=0
x = 0 \: \: or \: x = - 2\:or \: x = - 5x=0orx=−2orx=−5
To graph the above function, we need to consider the multiplicity.
We can see that the multiplicity of the roots are odd. This means that, the graph crosses the x-axis at each x-intercept.
We also need to consider the position of the graph on the following intervals,
x < - 5x<−5
When
x = - 10x=−10
y = - 10( - 8)( - 5) \: < \: 0y=−10(−8)(−5)<0
The graph is below the x-axis.
- 5 \: < \: x \: < \: - 2−5<x<−2
When
x = - 3x=−3
y = - 3(2)( - 1) \: > 0y=−3(2)(−1)>0
The graph is above the x-axis.
- 2 \: < \: x < \: 0−2<x<0
when
x = - 1x=−1
y = -1(1)(4) \: < \: 0y=−1(1)(4)<0
The graph is below the x-axis.
Finally the interval,
x \: > \: 0x>0
when
x = 1x=1
y = 1(3)(6) \: > \: 0y=1(3)(6)>0
The graph is above the x-axis.
We can now use the above information to sketch graph as shown in the diagram above
The Andromeda galaxy is 2.54 million (2.54x106) light years from earth. If light can travel 5.865 trillion (5.865x1012) miles in a
year then how many miles is the Andromeda galaxy from earth?
O 1.48971x1019
O 2.309055x106
3.325x106
O 8.405x1018
Answer: 1.48971 x 10^19
Step-by-step explanation: 1-light year is approximately 5.865 x 10^12 which is 5,865,000,000,000 kilometers or 6 trillion miles in 1-year. The Andromeda galaxy is indeed 2.54 million light-years from Earth which is the closest galaxy to our Milky Way Galaxy.
The best way to this is to put this into a scientific calculator. If it shows 1.48971E19, the E stands for exponent and the 19 next to the E stands to the 19th power. That is written as 1,489,710,000,000,000,000 miles!! from Earth. That's a lot of zeros. That's the reason scientific notation is used; to avoid all those zeros and express very small/large figures.
Hope this explanation helps.
Write the first three terms of the sequence defined by the recursive formula if a1=2.
a_n= a_n-1 / 4 - 2
The first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2
Given:
[tex]an = \frac{an - 1}{4} - 2[/tex]
where,
n = number of terms
First term, a1 = 2
Second term, a2
[tex]an = \frac{an - 1}{4} - 2[/tex]
a2 = {(2 - 1)/ 4} - 2
= 1/4 - 2
= (1-8) / 4
= - 7/4
Third term, a3
= {(3-1) / 4} - 2
= 2/4 - 2
= 1/2 - 2
= (1-4) / 2
= -3/2
Therefore, the first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2
Learn more about sequence:
https://brainly.com/question/6561461
Answer:
a1 = 2
a2 = -3/2
a3 = -19/8
Explanation:
a_n-1 means the last term.
So if a1 = 2, a2-1 is the same thing as a1, which is 2. So a2 = 2/4 - 2. a2 = -3/2
It's the same thing for a3. a3-1 is just the last term, which is a2, -3/2. So a3 = (-3/2) / 4 - 2. a3 = -19/8
Five times the difference of a number and 8 is 19.
Simple true or false...
d/dx{x^3e^x]=x^3e^x(3x+2)
True or false
Answer:
False.
General Formulas and Concepts:
Algebra I
Terms/Coefficients
FactoringCalculus
Differentiation
DerivativesDerivative NotationDerivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \frac{d}{dx}[x^3e^x][/tex]
Step 2: Differentiate
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = \frac{d}{dx}[x^3]e^x + x^3 \frac{d}{dx}[e^x][/tex]Derivative Rule [Basic Power Rule]: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = 3x^2e^x + x^3 \frac{d}{dx}[e^x][/tex]Exponential Differentiation: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = 3x^2e^x + x^3e^x[/tex]Factor: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = (x^3 + 3x^2)e^x[/tex]∴ [tex]\displaystyle \frac{d}{dx}[x^3e^x] \neq x^3e^x(3x + 2)[/tex] but [tex]\displaystyle \frac{d}{dx}[x^3e^x] = (x^3 + 3x^2)e^x[/tex].
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
dont want to fail gosh please help
Answer:
11X + 3 is correct
Step-by-step explanation:
first add the 9x and 2x= 11x
and then -2 + 5 = 3
Thus 11x + 3
Please Mark as brainliest
twice the sum of the number and 10 is 60 what is the number?
Let the number be n
[tex]\\ \sf\longmapsto 2(n+10)=60[/tex]
[tex]\\ \sf\longmapsto n+10=60/2[/tex]
[tex]\\ \sf\longmapsto n+10=30[/tex]
[tex]\\ \sf\longmapsto n=30-10[/tex]
[tex]\\ \sf\longmapsto n=20[/tex]
A recipe for banana bread calls for 5 1/4 cups of flour to make 3 loaves of banana bread. how much is used to make 1 loaf of bread?
Answer:
1 3/4
Step-by-step explanation:
6x-36+120=180
what is the value of x, in degrees?
Factor f(x) = 22 - 5x + 6 using any method.
-
please helppp
Answer:
[tex](x-2)(x-3)[/tex]
Step-by-step explanation:
[tex]x^2-5x+6[/tex]
[tex]x^2-3x-2x+6[/tex]
[tex]x(x-3)-2(x-3)[/tex]
[tex](x-2)(x-3)[/tex]
Evaluate the expression below at x = 6.
i linked the numbers in a image
A.
606
B.
396
C.
468
D.
1,692
Answer:
B
Step-by-step explanation:
you can break the 78 into 70 and 8, and multiply them separately by 6 and then add the two answers to get 468
A bag with 12 marbles has 4 red marbles , 3 yellow Marbles ,5 blue marbles. A Marble is chosen from the bag at random . What is the probability that is not red
Answer:
2/3
Step-by-step explanation:
The answer is simple; the number of non-red marbles over the number of total marbles.
how many cubes each of 2 cm length can be kept inside of a cube of 6 CM length
Answer:
Hence 27 cubes can be obtained.
Step-by-step explanation:
Volume occupied by one cube of side 2cm = 2*2*2 = 8cm^3
Volume of cube of side 6cm = 216cm^3
Number of cubes of side 2cm which would fit in a cube of side 6cm = 216/8 = 27 cubes
PLEASE HELP
Jed has 352 stickers in his sticker collection. He wants
to put them in an album. The album holds 8 stickers per
page. How many pages will Jed need? *Show your work
for full credit using any method to solve the problem.
Can someone one help me with this question Real quick
Answer:
5
7
..................
Answer:
y equals -2x -7
y equals 3/4 x plus 2 1/2
A wedding venue holds no more than 185 guests. If 319 people have said they are attending, how many more people does the venue have room for?
Answer:185 guests
Step-by-step explanation: it can only hold 185 guests no more.
Sixteen is 64% of what number?
A. 12
B. 48
C. 32
D. 25
Answer:
D. 25
Step-by-step explanation:
16 divided by 64% is 25
Answer:
25
Step-by-step explanation:
Hope I helped you.
6t – 6t
Please answer this :)
That would probably be zero for the answer, because if a number or an equation subtracts the same number or equation it will cancel itself out. Thus giving us zero.
Hope this help :D.
Which number is divisible by both three and nine?
Select the Hint button to view a hint.
A.21,369 B. 36,359 C. 48,618 D. 56,783
Answer:
answer is
A.21,369 or D. 56,783
Step-by-step explanation:
am not sure but am mostly sure it is D but i dont know i think is A to but am
99% is D
hope it helps
Answer:
Your answer is C 48,618
Step-by-step explanation:
if you add the sum up of all of the digits it is divisible by both three and nine.
can i plz get brainliest.
5y+4x=10.51 8y+3x=10.39
Answer:
(x, y) = (1.89, 0.59)
Step-by-step explanation:
Written in general form, the equations are ...
4x +5y -10.51 = 0
3x +8y -10.39 = 0
These can be solved using the cross-multiplication method to find ...
∆1 = (4)(8) -(3)(5) = 17
∆2 = (5)(-10.39) -(8)(-10.51) = 32.13
∆3 = (-10.51)(3) -(-10.39)(4) = 10.03
Then the values of the variables are ...
x = ∆2/∆1 = 32.13/17 = 1.89
y = ∆3/∆1 = 10.03/17 = 0.59
The solution is (x, y) = (1.89, 0.59).
I need help with the multiple choice
Answer:
d
Step-by-step explanation:
they intersect but aren't perpendicular.
Write a two-column proof.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!
refer to images for question
MUST WRITE FULL PROOF
Proof:-
In ∆XYZ and ∆VWZ
[tex]\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf <XZY\cong <WZV(Opposite angles)\end{cases}[/tex]
Hence
∆XYZ[tex]\cong[/tex](Side-Angle-Side)
Two families go ice skating one day. The first family spends $25 on skate rentals for 5 kids and 2 adults. The second family spends $14 in skate rentals for 3 kids and 1 adult. How much do each child's skate rental (x) and each adult's skate rental (y) cost?
Answer: x = 3 and y = 5
Step-by-step explanation:
Three friends, Ayyub, Bran and Curtis, each have some mini chocolate eggs. Bran has 1 more egg than Ayyub. Curtis has 50% more eggs than Bran. Altogether, Ayyub, Bran and Curtis have 48 chocolate eggs. Curtis gives eggs to each of Ayyub and Bran so that they all have the same number of eggs. Work out how many eggs Curtis gives away in total.
Step-by-step explanation:
x = eggs of Ayyub
y = eggs of Bran
z = eggs of Curtis
x + y + z = 48
y = x + 1
z = 1.5y = 1.5(x + 1)
now we are using the second and third equation in the first :
x + (x + 1) + 1.5(x + 1) = 48
x + x + 1 + 1.5x + 1.5 = 48
3.5x + 2.5 = 48
3.5x = 45.5
x = 45.5/3.5 = 13
y = x + 1 = 13 + 1 = 14
z = 1.5(x + 1) = 1.5(13 + 1) = 1.5×14 = 21
for all three friends to have the same number of eggs, we need to split 48 into 3 equal parts : a division.
48/3 = 16
so, everybody should end up with 16 eggs.
therefore Curtis gives away 21-16 = 5 eggs in total (3 to Ayyub, 2 to Bran).