The solutions to the quadratic equation x² + 3x - 28 = 0 are 4 and -7.
What are the solutions to the quadratic equation?The quadratic formula is expressed as;
x = (-b±√(b² - 4ac)) / (2a)
Given the equation;
x² + 3x - 28 = 0
a = 1b = 3c = -28Substitute the values of a, b, and c into the formula and solve for x.
x = (-b±√(b² - 4ac)) / (2a)
x = ( -3 ±√( 3² - ( 4 × 1 × -28) )) / (2×1)
x = ( -3 ±√( 9 - ( -112) )) / (2)
x = ( -3 ±√( 9 + 112 )) / (2)
x = ( -3 ±√( 121 )) / 2
x = ( -3 ± 11 ) / 2
x = ( -3 - 11 ) / 2, x = ( -3 + 11 ) / 2
x = -14/2, x = 8/2
x = -7, x = 4.
Therefore, -7 and 4 are the solutions to the equation.
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Classify the triangle based on its angles
Answer:
The triangle is scalene triangle because its all sides are different
So, you can go with it and
Request :- if you are helped with my answer pls tag me brianliest I really want it.......
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I need help with math 2 on gradpoint I’ll literally pay anyone because I need the class to graduate.
David buys a new car on hire purchase. The car costs R75 000 (excluding VAT) and he trades in his old car (that is fully paid for) for R9 500. The car registration, documentation and licence fees are R2 000.
Determine the cost of the car, inclusive of VAT, trade-in and the other fees.
Answer:
R93,750. (I have changed R to $ in explanation)
Step-by-step explanation:
To determine the cost of the car inclusive of VAT, trade-in, and other fees, we first need to calculate the VAT amount. Assuming the VAT rate is 15%:
VAT = 0.15 x $75,000 = $11,250
Next, we can calculate the total cost of the car, inclusive of VAT:
Total cost of car = Cost of car + VAT
Total cost of car = $75,000 + $11,250
Total cost of car = $86,250
We also need to take into account the trade-in and the other fees. The trade-in value of $9,500 and the other fees of $2,000 are subtracted from the total cost of the car:
Total cost of car inclusive of VAT and other fees = Total cost of car + Trade-in value - Other fees
Total cost of car inclusive of VAT and other fees = $86,250 + $9,500 - $2,000
Total cost of car inclusive of VAT and other fees = $93,750
Therefore, the cost of the car, inclusive of VAT, trade-in, and other fees, is $93,750.
At a hockey game, a vender sold a combined total of 250 sodas and hot dogs. The number of sodas sold was 42 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
sodas sold:
hotdogs sold:
Answer:
let x as hotdog and x + 42 as soda
x + x + 42 = 250
2x + 42 = 250
2x + 42 - 42 = 250 - 42
2x = 208
x = 104
sodas sold: x + 42 = 104 + 42 = 146 sodas
hotdogs sold: x = 104 hotdogs
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-Answer:
104 hot dogs sold
146 sodas sold
Step-by-step explanation:
s=number of sodas. h=number of hotdogs
s+h=250
s=h+42 ==> there were 42 more sells for soda than compared to hot dog
h+42+h=250 ==> plugin h+42 for s
h+h+42=250 ==> simplify
2h+42=250 ==> solve for h
2h+42-42=250-42 ==> isolate h by subtracting 42 on both sides
2h = 208
h = 208/2
h = 104 hot dogs sold
s=104+42 ==> plug in 104 for h in s=h+42
s = 146 sodas sold
Consider the following equations.
f(x)=2x-1
g(x)=3/8x
What values of x will result in f(x)=g(x)?
0 and −3/4
0 and −2
−2 and −3/4
only 0
The required solutions of the situation of the function are x = 3/4 or x = -1/4.
What is function?A unique connection where each input only produces one output. A common notation for it is "f(x)," where x denotes the input value. as in f(x) = x/2 ("f of x equals x divided by 2") Since there is only one output ("x/2") for each input ("x"), it is a function: • f(2) = 1.
According to question:We have,
f(x)=2x-1
g(x)=3/8x
To find the value of x for f(x) = g(x).
f(x) = g(x)
2x-1 = 3/8x
16x² - 8x = 3
16x² - 8x - 3 = 0
16x² - 12x + 4x - 3 = 0
4x(4x - 3) + (4x - 3) = 0
(4x - 3)(4x + 1) = 0
x = 3/4 or x = -1/4
Thus, required solution are x = 3/4 or x = -1/4.
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1. John’s age is three times that of his sister. When you add John’s age to his sister's age, you get 36. How old are John and his sister?
(a) Write an equation that represents the situation. (1 point)
(b) Solve the equation from Part (a). Show your work. (3 points)
Answer:
Part A: Write an equation.
If the present age is y, then n times the present age = ny.
If the present age is x, then age n years later/hence = x + n.
If the present age is x, then age n years ago = x – n.
The ages in a ratio a: b will be ax and bx.
Part B: Solve the equation.
John’s age =
John’s sister’s age =
Answer:
sister = 6 years
John=18 years
Step-by-step explanation:
A(S) + 12 = 3 * A(S), subtracting A(S) from both sides one gets 12 = 2 * A(S). Now dividing both sides by 2 we get A(S) = 12/2 = 6 . Therefore, the age of the sister is 6 years when her brother John is three times as old, that is 18 years.
Answer:
36-x=y
y*3=x
x+y=36
Step-by-step explanation:
I wasnt really sure how to write the equation the way you're supposesd to?
John is 27 and his sister is 9. 9*3=27
I just used guess and check sorry
Can someone please answer this
Answer:
3486784401 / 9^-6
Step-by-step explanation:
Hi!
(9^2)/(9^-8)
= 81/(9^-8)
= 81/1/43046721
Or
9^-6
Try both to see if they work. if they don't, hit me up in the comments
Ok I cut the freaking cute please help me uwu stuff could yall just answer me like 10 points
−2/9x+2.7=4
find x
Answer:
Step-by-step explanation:
−2/9x+2.7=4
subtract 2.7 from both sides
-2.9x = 1.3
divide -2.9 from both sides
x= -.4482 or x= -.45
A professor compares the number of students at his school majoring in statistics, engineering, both, or neither. If the number of students majoring in both is 20, how large is the population?
Answer:
1,946
Step-by-step explanation:
251+175+1500+20=1,946
Find the range of possible values of x
Answer:
I dont have time to answer but i explained c:
Step-by-step explanation:
Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
Find the domain of g(y), and this will be the range of f(x).
If you can't seem to solve for x, then try graphing the function to find the range.
1..Tim is playing board games that goes from -50 to 50, Tim is on the space marked -2 and spins a 12 to move 12 spaces. What number box will Tim be on after the spin?
2..When would the answer to 3+x be locaded to the right of 3?
3..When would the answer to 3+x be locaded to the left of 3?
Answer:
1. 10
2. if x was positive
3. if x was negative
Step-by-step explanation:
1. he starts on -2. so -2 + 12 is 10, so he would be on the space number 10.
2. if he moved to the right, it would mean you added something to 3. so, if x was positive, then it would move to the right.
3. if he moved to the left, it would mean that you subtracted something from 3. so, if x was negative, then it would move to the left.
PLEASE HELP! MATH QUESTION
Answer:
the midline is at f(x)=0
it takes the ball 2 s to complete a cycle
State if the two triangles
are
congruent. If they are, state how you know.
What are the common factors of 18 and 42
A. 1,2,3,6,9
B. 1,2,3,6,18
C. 1,2,3,6
D .1,3,6
I need the answer and explanation pls
Step-by-step explanation:
Vertical Angles:A pair of opposite angles made by two intersecting lines. ( This would make both angle measures equal)
Let a(n) be a sequence defined recursively as follows: a(0) = -1 a(1) = 1 a(n+2) = a(n+1) - a(n). Find a(26)
For the given sequence a(26) = 2
To find a(26), we can use the recursive definition of the sequence and work our way up from a(0) and a(1):
a(0) = -1
a(1) = 1
a(2) = a(1) - a(0) = 1 - (-1) = 2
a(3) = a(2) - a(1) = 2 - 1 = 1
a(4) = a(3) - a(2) = 1 - 2 = -1
a(5) = a(4) - a(3) = -1 - 1 = -2
a(6) = a(5) - a(4) = -2 - (-1) = -1
a(7) = a(6) - a(5) = -1 - (-2) = 1
a(8) = a(7) - a(6) = 1 - (-1) = 2
From this pattern, we can see that the sequence repeats with a period of 6, so we can find a(26) by finding the remainder when 26 is divided by 6:
a(26) = a(26 mod 6) = a(2) = 2
Therefore, a(26) = 2.
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Hey guys so I NEEEEEED HELP ON THIS MATH QUESTION, so here it is please help me P.S: LIMITED TIME, P.P.S: LIKE IN 40-74 MINUTES!!! HELP
The approximate diameters of Uranus and Mars are listed below:
Uranus: 5.11×10^4
kilometers
Mars: 6.79×10^3
kilometers
How many times larger is the diameter of Uranus? Write your answer in standard notation, rounding to the nearest tenth.
The number of times the diameter of Uranus is larger than the diameter of Mars is 7.5 times
How to determine the number of times larger is the diameter of UranusFrom the question, we have the following parameters that can be used in our computation:
The diameters of Uranus and Mars
These diameters are given as
Diameter of Uranus: 5.11×10^4 kilometers
Diameter of Mars: 6.79×10^3 kilometers
Express the diameters properly
So, we have the following representation
Diameter of Uranus: 5.11 × 10⁴ kilometers
Diameter of Mars: 6.79 × 10³ kilometers
This means that
Number of times larger = Diameter of Uranus/Diameter of Mars
Substitute the known values in the above equation, so, we have the following representation
Number of times larger = 5.11 × 10⁴ kilometers/6.79 × 10³ kilometers
Evaluate the quotient
So, we have the following representation
Number of times larger = 7.5
Hence, the number of times is 7.5
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HELP ASAP
1. A group of numbers, variables, and/or operation symbols that represent a mathematical relationship. is called?
2. A known number, a variable, or the product of a known number and a variable; separated by plus (+) and minus (-) symbols. is called?
Answer:
1. polynomial
2. equation
I hope it will be useful.
Students majoring in engineering make up 21% of the students at a university. There are 6,600 total students enrolled at the university, How
many students are majoring in engineering?
Answer:
Step-by-step explanation:
21 percent of 6600 is 1386.
I'm sorry if I'm wrong.
pls help me with this...... :).....it's urgent........
Why urgent?
See attachment for math work and answer.
I gave you two different answers for 2b.
12 pumpkins cost 24.60 how much will it cost for 8 pumpkins also
I can run 5 laps in 1 1/4 hours how many laps could I run in a day
Answer:
the second one is 20 i think
Step-by-step explanation:
May someone help me out I’ll mark you
Answer:
∠ X = 76°
Step-by-step explanation:
since Δ DCB and Δ YWX are similar then corresponding angles are congruent, that is
∠ X = ∠ B = 76°
if you roll six fair six-sided dice one time, what are the chances that at least one of the dice will come up a five? g
There is a probability of 66.5 % chance of it landing on a 5 at least once in 6 dice.
Because there are six faces on a die, you have an even chance of the dice landing on one of these faces each time you roll:
This means that each time that you roll, there is a 5/6 chance that you will not roll a 5.
The probability of not rolling a 6 twice is 5/6 or 69.4%.
Roll the die six times, and the probability of not rolling a 5 is
(5/6) * (5/6) * (5/6) * (5/6) * (5/6) * (5/6) * (5/6)
= (5/6)⁶
= 33.5%
Therefore, the probability of rolling a 5 at least once in 6 dice
= 100% - 33.5%
= 66.5%
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An ant crawling along the floor follows a semi-circular path, going halfway around the circumference of a circle of radius R.
The distance traveled and the displacement of the ant are, respectively,
πR and πR
2R and πR
πR and 2R
πR and zero
none of these
The ant's entire distance travelled along its semicircular journey is its total distance travelled overall. The ant is travelling around a circle with radius R, thus the distance it has travelled is equal to half of the circle's circumference, πR.
The change in the ant's position is represented by a vector quantity called the displacement of the ant. The ant in this scenario begins at one end of the semi-circular path and moves 2R away from the beginning point to reach the other end. The direction of the displacement vector is from the starting point to the ending point, and the displacement's magnitude is equal to the 2R distance between the two points.
So, the option c is most suitable option.
Therefore, πR and 2R are the ant's displacement and the distance travelled, respectively.
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The area of a circle, in terms of π, is 50π m(squared)
Find the value of the radius.
Give your answer as a simplified surd.
Step-by-step explanation:
It will pie r squared is equal to area
/ take this sign as pie
/ ×r^2=50/
r^2=50/÷/
r^2=50
r =
\( { \sqrt{50} } \)
=
\(5 \sqrt{2} \)
The value of the radius of the given circle is 5√2, of which the area is 50π m².
The formula for the area of a circle is A = πr², where A represents the area and r represents the radius.
As per the question, given that the area is 50π m².
So, we can set up the equation as follows:
50π = πr²
To solve for r, we divide both sides of the equation by π:
50 = r²
Taking the square root of both sides, we get:
√50 = √(r²)
Simplifying the square root of 50 gives:
r = √50
r = √(25 x 2)
r = 5√2
Therefore, the value of the radius is 5√2.
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Solve for y
y - 2 = 2x
Answer:
y = 2x + 2
Step-by-step explanation:
Add two to both sides.
in a stem-and-leaf display, . a. a single digit is used to define each stem, and one or more digits are used to define each leaf b. one or more digits are used to define each stem, and a single digit is used to define each leaf c. a single digit is used to define each stem, and a single digit is used to define each leaf d. one or more digits are used to define each stem, and one or more digits are used to define each leaf
in a stem-and-leaf display: b. one or more digits are used to define each stem, and a single digit is used to define each leaf
What is stem-and-leaf plot?A stem and leaf plot, often known as a stem plot, is a method for categorizing discrete or continuous data. Data are organized as they are gathered using a stem and leaf plot. A stem and leaf plot resembles a bar graph in appearance. As each integer throughout the database is divided into a stem and a leaf, thus the name fits.
The last digit of each data point serves as the "leaf" in a stem and leaf plot, which divides the data into numerical points (the leading digit or digits).
Thus, in this case, correct option is:b
in a stem-and-leaf display: b. one or more digits are used to define each stem, and a single digit is used to define each leaf
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50 POINTS!! Please help tysm :) image is attached (sorry about the quality); find the value of x. the answer key says x=10, but I'm not sure how to get there.
please don't put an unrelated answer or just repeat the answer for the points :) I would like a step by step explanation
Answer:
\( \: x = 10\)
Step-by-step explanation:
prefer the attachment
according to the question
\( \displaystyle \: \frac{6}{17.5-x} = \frac{8 + 6}{17.5} \)
simplify addition:
\( \displaystyle \: \frac{6}{17.5-x} = \frac{14}{17.5 } \)
simplify fraction;
\( \displaystyle \: \frac{6}{17.5 - x} = 0.8\)
cross multiplication:
\(\displaystyle 6 = 14 - 0.8x\)
cancel 14 from both sides:
\( \displaystyle - 8= - 0.8x\)
divide both sides by -0.8:
\( \therefore \: x = 10\)
Which expression is equivaien. to 6 (3x + 4)?
Answer:
18x + 24
Step-by-step explanation:
6(3x + 4)
combine like terms
18x + 24
Find the present value of a sequence of annual payments of Rs 25000 each , the first being made at the end of 5th year and the last being paid at the end of 12th year, if money is worth 6%.
The present value of the sequence of annual payments of Rs 25000 each, the first being made at the end of the 5th year and the last being paid at the end of the 12th year, if money is worth 6% is Rs. 158620.39.
1: We can use the formula to calculate the present value of the annuity:
P = A x [1 - (1+i)^-n] / i
Where
P = Present Value
A = Annuity
i = Interest Raten = Number of payments
2: Calculate the present value of each payment using the formula:
P1 = 25000 / (1.06)⁵
P2 = 25000 / (1.06)⁶
P3 = 25000 / (1.06)⁷
P4 = 25000 / (1.06)⁸
P5 = 25000 / (1.06)⁹
P6 = 25000 / (1.06)¹⁰
P7 = 25000 / (1.06)¹¹
P8 = 25000 / (1.06)¹²
3: Substitute the values into the formula to find the present value:
P = P1 + P2 + P3 + P4 + P5 + P6 + P7 + P8
P = (25000 / (1.06)⁵) + (25000 / (1.06)⁶) + (25000 / (1.06)⁷) + (25000 / (1.06)⁸) + (25000 / (1.06)⁹) + (25000 / (1.06)¹⁰) + (25000 / (1.06)¹¹) + (25000 / (1.06)¹²)
P = 158620.39
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