Equation =》s = x² - 3
To change the subject to 'x' :-
[tex]\tt\:s = x ^ { 2 } - 3[/tex]
[tex]\tt\:x^{2}-3=s[/tex]
[tex]\tt\:x^{2}=s+3[/tex]
So,
[tex]\boxed{\tt\:x=\sqrt{s+3}}[/tex]
[tex]\boxed{\tt\:x=-\sqrt{s+3}\text{, }s\geq -3}[/tex]
=》'x' can be any of the 2 values in the boxes.
_______
Hope it helps ⚜
Answer:
I agree with RainbowSalt2222
Step-by-step explanation:
It is correct exactly what I got
Solve the system of linear equations below.
6x + 3y = 33
4x + y = 15
A x = 2, y = 7
B. X = -13, y = 7
C x = -2/3, y = 12*2/3
D. x = 5, y = 1
Answer:
A
Step-by-step explanation:
6x+3y=33 <=> 2x+y=11<=>4x+2y=22 (1)
4x+y=15 (2)
(1)-(2) <=> y=7
Answer:
A x = 2, y = 7
Step-by-step explanation:
6(2)+3(7)= 33
4(2)+(7)=15
3.5x^3-2.3x^2+1.4x+15.6-1.2x^3+4.5x^2-0.3x-3.2
Answer: 12.4 + 1.1x + 2.2x^2 + 2.3x^3
Step-by-step explanation:
add the like variables
A high school drama club is selling tickets for the spring production. One day the president sold 12 adult tickets and 5 child tickets for a total of $169. The next day the president sold 22 adult tickets and 10 child tickets for a total of $314. Let a represent the cost of one adult ticket. Let c represent the cost of one child ticket. Which system of equations will solve for a and c? 12 a 5 c = 314. 22 a 10 c = 169. 12 a 5 c = 169. 22 a 10 c = 314. 5 a 12 c = 314. 22 a 10 c = 169. 22 a 5 c = 169. 12 a 10 c = 314.
Answer:
12a + 5c = 169
22a + 10c = 314
Step-by-step explanation:
if a = adult tickets and c = children's tickets
12 adult tickets and 5 children's tickets costs 169 dollars
12a + 5c = 169
Also, 22 adult tickets and 10 children's tickets cost 314 dollars
22a + 10c = 314
Answer:
Its D :)
Step-by-step explanation:
Have a good day.
1-3. Name the radii.
Perform the indicated operation and express the result as a simplified complex number in the form a+bi. Do not put any spaces between your characters. If your answer includes a number that is not an integer type it as a decimal rounded to the nearest hundredth.
(3+4i)/(2-i)
simplifies to a+bi where:
A=
B=
9514 1404 393
Answer:
0.40+2.20i
Step-by-step explanation:
To clear the denominator of its imaginary part, multiply numerator and denominator by the conjugate of the denominator.
[tex]\dfrac{3+4i}{2-i}=\dfrac{(3+4i)(2+i)}{(2-i)(2+i)}=\dfrac{6-4+3i+8i}{4+1}=\dfrac{2+11i}{5}\\\\=\boxed{0.40+2.2i}[/tex]
_____
Additional comment
This "multiply by the conjugate" is also used to clear radicals from the denominator. It takes advantage of the factoring of the difference of squares:
(a -b)(a +b) = a² -b²
please help I will give 30 points but I need this answer please.
whats the question???
also it says 5 points-
Find the greatest common factor of 21 and 46.
Answer:
1
Step-by-step explanation:
Hope this helps! Have a great day ahead. Tell me if I'm wrong :) Stay Safe <3
Answer:
1
Step-by-step explanation:
they are both co-prime (numbers that have a common factor of only 1)
hospital in California is keeping track of the weight of a newborn baby. A newborn baby gains an average of 1.5 ounces per day. One baby currently weighs 72 ounces. Write an algebraic equation that describes the relationship between the number of days (d) and the total weight of the baby (w).
Fill in the blank for
w =
On average, a newborn drinks about 1.5-3 ounces (45-90 milliliters) every 2-3 hours
sand is falling off a conveyor in a conical pile at a constant rate of 2 cubic yards per minute. The height of the sand is equal to the radius of the pile of sand on the ground. If the cone-shaped pile is 3 feet tall now, how tall will it be in one hour?
The volume of a cone is (1/3)πr2h.
In this problem r=2h or h=(1/2)r
Hence V = (1/6)πr3
dV/dt = (1/2)πr2 dr/dt
With this information you should now be able to answer the question. Remember the relation between r and h!
never mind i was right
im also so sorry if you dont understand or its not one of the answers
Answer:
t a sand and gravel plant, sand is falling off a conveyor, and onto a conical pile at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile is 15 feet high?
Step-by-step explanation:
sally has 10 cups of oatmeal. she needs 1/4 cup of oatmeal to make 1 batch of cookies. how many batches of cookies can sally make
Heyy , help me do this please and thank you?:
Answer: 18 fliers
Step-by-step explanation:
1/3 of 63 is 21. Thus, the remaining fliers are 42.
4/7 of 42 is 24. Thus, the remaining fliers are now 18.
Hope it helps :)
15 POINTS, to lazy please help.
Answer:
(2, - 1 )
Step-by-step explanation:
The solution to the system is at the point of intersection of the 2 lines.
They intersect at (2, - 1 ) ← solution
Answer:
1427832.087y4441x6.7
find the degree of the following polynomial and determine whether it is a monomial, trinomial, or none of these.
2x+1
None, it is a binomial because it has 2 terms. The degree is 1.
Hope this helps friend~ ^^
what is 2234x44321=?
Answer: 99013114
Step-by-step explanation: Due to the solution to your question. 2234x44321= 99013114. This is because we multiply each digit to its own other digit.
Two pillars of height 8 ft each with four faces of the gate of a stadium have one-one pyramid of height 4 ft each having same base on their tops. The base of each pillar is 6 ft × 6 ft. If the pillars with pyramid are painted at rate of Rs 89 per sq.ft , what will be the total cost? [ Please include figure too]
Help!! ~Thanks in advance! :)
Answer:
₹ 44856Step-by-step explanation:
There are 2 pillars, two right prisms of dimensions 6x6x8 ft, two right pyramids of dimensions 6x6x4 ft on top of prisms.
There will be 4 faces of each painted.
Area of each prism face:
6*8 = 48 ft²Total area of prism faces:
8*48 = 384 ft²Slant height of pyramid faces:
s = √h²+(a/2)², where h- height of pyramid, a - side of bases = √4²+(6/2)²= √16+9 = √25 = 5 ftArea of each face of pyramid:
A = (1/2)*6*5 = 15 ft²Total area of pyramid faces:
8*15 = 120 ft²Total area to be painted:
384 + 120 = 504 ft²Cost of paint:
504*89 = 44856Total cost painted = 44,856
Answer in the picture.
what is the gcf of 56 and 92
Answer:
im pretty sure its 4!
Step-by-step explanation:
56/4=14
92/4= 23
and i dont think there are any greater numbers that factor into both 56 and 92
hope this helps!
Answer:
4
Step-by-step explanation:
1) Draw factor trees - split numbers into smaller numbers, circle any prime numbers
2) Draw a venn diagram
3) Any circled prime numbers that are the same go in the middle column.
4) Any remaining numbers go in the left or right circle.
5) GCF = multiply everything in middle column.
Hope this made sense! <3
Lines m and n are parallel. Find the following angle pairs in the diagram. if you cant find any, write none.
Answer:
1. Alternate exterior: None
2. Corresponding angles: None
3. Same side exterior angles: <1 and <5
4. Alternate interior: <3 and <4
5. Same side interior: <2 and <4
Step-by-step explanation:
Please, help me with this question
Answer:
x=0
Step-by-step explanation:
2.5^2x = 1
2.5^2x=2.5⁰
2 x = 0
x=0
Write an equation of the line that passes through each point with the given slope.
(9,-8), m=
4
book
y = -43 - 44.
y = 4x - 44
y = 40 - 27
y = 4.1 +44
Question 6
1 pts
Answer:
Step-by-step explanation:
In a group of dogs and their owners, there are exactly 20 heads and 64 legs. How many dogs are in the group
Answer:
If we assume that everyone in the group is an owner, we would have
[tex]20*2=40[/tex] legs.
[tex]64-40=24[/tex] legs
Therefore, we need 24 more legs.
These 24 additional legs can be made from the difference of legs between the owners and dogs.
In this case, dogs have [tex]4-2=2[/tex] more legs than an owner.
24 ÷ 2 = 12.
There are 12 dogs in the group.
Use the ALEKS calculator to write9/16
as a decimal rounded to the nearest hundredth.
1. The diameter of each tire on a model car is 10.668 mm. The actual diameter of a car's tire is 5.29 X 102 mm. About how many times larger is the actual diameter of a car tire than the diameter of the tire on the model car? A 5 times B 50 times +90 100 times D 500 times
The number of times the actual diameter is larger than the model is 50 times.
A tire has the shape of a circle. The diameter is line that goes through the center of a circle and divides the circle into two.
In order to determine how many times larger the actual diameter is greater than the model, the actual diameter would be divided by the diameter of the model.
5.29 x 10² ÷ 10.668
529 ÷ 10.668
= 49.6
= 50 times
Please find attached an image of a circle. To learn more, please check: https://brainly.com/question/13590859
What multiple of five is also a factor of five
Hello, hope you are having a remarkable day. :)
These are the multiples of 5:
5, 10, 15, 20, 25, 30, 35...
These are the factors of 5:
1, 5
As we can see, the number 5 is both a multiple of 5 and a factor of 5.
Hope it helps. Ask me if you have any queries.
~An emotional teen who helps others with joy
Good luck.
10a) Beatrice has an income of
$40 000 in one year.
She pays no tax on the first
$10 000 of her income;
10% tax on the next $10 000 of her income;
25% tax on the rest of her income.
Calculate:
a) the total amount of tax Beatrice pays,
b)the total amount of tax as a percentage of the $40 000.
10b) Beatrice pays a yearly rent of $10 800.
After she has paid her tax, rent and bills, she has $12 000.
Calculate how much Beatrice spends on bills.
Answer:
a) $6000 tax
b) 15%
c) $11,200 for bills
Step-by-step explanation:
a)Beatrice pays 10% on the second $10,000 of her income, which is ...
0.10×$10,000 = $1000
and she pays 25% on the amount over $20,000, which tax is ...
0.25×($40,000 -20,000) = $5000
The total amount of tax Beatrice pays on her $40,000 income is ...
$1000 +5000 = $6000 . . . . tax on $40,000
__
b)The tax as a percentage of $40,000 is ...
$6,000/$40,000 × 100% = 15% . . . . percentage of income paid in tax
__
c)The amount left after tax, rent, and bills is ...
$40,000 -tax -rent -bills = $12,000
bills = $28,000 -tax -rent
bills = $28,000 -6,000 -10,800 = $11,200
Beatrice spends $11,200 on bills.
A chartered vacation will cost eva $1,250 plus $45 per day for food. If Eva wants to spend less than $1,700, how many days can she travel?
Answer:
She can travel for 10 days
Step-by-step explanation:
first you do 1,250 divided by 1,250 will equal 0. Then you do the other side 1,700- 1,250 =450. Then you do 450 divided by 45 and you will get 10
Hope this helps you out!
Evaluate the expression for a = -13.
Answer: -4
Step-by-step explanation: (9)+(-13) 9+−13 9−13 −4
think of two numbers which when add give 5 and substracts give 1
Answer:
3 and 2
Step-by-step explanation:
3+2=5
3-2=1
Hope this helps!!
Find a value c in the interval [0,3] such that f(c) is equal to the average value.
Answer:
1.5
Step-by-step explanation:
Numbers in the interval are 0, 1, 2 and 3
Average Value = (0+1+2+3)/4=1.5
The average value of the numbers in the interval {0,3} is 1.5.
What is an average?Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.
Mean is defined as the ratio of the sum of the number of data sets to the total number of data.
Given that the value c is in the interval [0,3]. The interval is written {0,1,2,3}.
The average of the numbers is calculated as,
Average Value = (0+1+2+3)/4
Average Value =1.5
Therefore, the average value of the numbers in the interval {0,3} is 1.5
To know more about an average follow
https://brainly.com/question/20118982
#SPJ2
what is the equation to solve this
Answer:
p=(180.50-19.50)/23
Step-by-step explanation:
I would really like help
Answer:
[tex] \\ • \: \frac{1}{8} + (2 - 4 \times 7)[/tex]
[tex] \\ = \frac{1}{8} + (2 - 28)[/tex]
[tex] \\ = \frac{1}{8} + ( - 26)[/tex]
[tex] \\ = \frac{1}{8} - 26[/tex]
[tex] \\ = \frac{1 - 208}{8} [/tex]
[tex] \\ = \frac{ - 207}{8} [/tex]
[tex] \\ = - 25 \frac{7}{8} \: \: or \: \: - 25.875[/tex]
[tex] \\• \: 20 \times 3 - 7(8 \times 9)[/tex]
[tex] \\ = 20 \times 3 - 7 \times 72[/tex]
[tex] \\ = 60 - 504[/tex]
[tex] \\ = - 444[/tex]
[tex] \\ • \: 23 - ( \frac{4}{2} ) + 7 - 4[/tex]
[tex] \\ = 23 - 2 + 7 - 4[/tex]
[tex] \\ = 23 + 7 - 2 - 4[/tex]
[tex] \\ = 30 - 6[/tex]
[tex] \\ = 24[/tex]
[tex] \frak {\overbrace{\underbrace{{{hope \: it \: helps}}}}}[/tex]