The solution to the equations are as follows:
1. X^2 + 6X + 3 = 0, the solution is (-3,-1).
2. 52726 - 6 = 52,720
3. 12 - 8 + (-5) = -1
4. X^2 + 8X + 20 = 0, the solution is (-5, -4).
5. x⁻¹+4x⁻²=0
How did we get our values?X^2 + 6X + 3 = 0, can be solved by the quadratic formula: X = (-b ± √(b^2 - 4ac)) / 2a, where a = 1, b = 6, and c = 3.
X = (-6 ± √(6^2 - 4 * 1 * 3)) / 2 * 1
X = (-6 ± √(36 - 12)) / 2
X = (-6 ± √(24)) / 2
X = (-6 ± 2√6) / 2
X = (-3 ± √6), (-3 - √6)
52726 - 6 = 52720
12 - 8 + (-5) = -1
X^2 + 8X + 20 = 0, can be solved by the quadratic formula: X = (-b ± √(b^2 - 4ac)) / 2a, where a = 1, b = 8, and c = 20.
X = (-8 ± √(8^2 - 4 * 1 * 20)) / 2 * 1
X = (-8 ± √(64 - 80)) / 2
X = (-8 ± √(-16)) / 2
Since the square root of a negative number is not defined in real numbers, there are no real solutions to this equation.
x⁻¹ + 4x⁻² = 0
Dividing both sides by x⁻², we get x + 4 = 0
Subtracting 4 from both sides, we get x = -4.
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The complete question goes thus:
Solve:
1.X2 +6x +3=0
2.52726-6=0
3.12-8+-5:0
4.X(X+8)=-20
5.x⁻¹+4x⁻²=0
Reid found 6 coins that totaled 61c in all. What coins did the find?
Reid found 1 quarter, 3 dimes, 1 nickel and 1 penny coins.
What is currency?Currency is anything that is generally accepted to have value as a medium of exchange so that it can be traded for goods and services.
Given that, Reid found 6 coins that totaled 61 cents in all.
Since, in total he got 6 coins that value 61 cents in total.
So, wd know that,
1 quarter = 25 cents
1 dime = 10 cents
1 nickel = 5 cents
1 penny = 1 cents,
Adding them = 25 + 10 + 5 + 1
= 41 cents
We need 20 cents and 2 coins more,
So, add 3 coins more in nickel, so, that,
3 nickels = 30 cents
Now, Reid in total will have 6 coins and that will value 61 c.
Hence, Reid found 1 quarter, 3 dimes, 1 nickel and 1 penny coins.
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What is 12 as an improper fraction? A. ⅔ в. ⅔ c. ⅔ D. ⅔
Delilah babysits a fixed number of hours per week. Her friend Laura babysits
5 hours more per week than Delilah. Write an equation that models the tota
number of hours Laura babysits.
An equation that models the total number of hours which Laura babysits is l = d + 5.
How to determine the total cost of y of x rides?In order to write an equation that model this situation, we would assign variables to the number of hours Delilah babysits and the number of hours Laura babysits respectively, and then translate the word problem into algebraic equation as follows:
Let the variable d represent the number of hours Delilah babysits.Let the variable l represent the number of hours Laura babysits.Next, we would translate the word problem into an algebraic equation based on the fact that Laura babysits 5 hours more per week than Delilah as follows;
l = d + 5
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Please help will mark Brainly
Answer: Y=5
8x5=40
40x5=200
200x5=1000
etc..
A recipe for flapjacks uses only syrup, sugar, butter and oats,
in the ratio 1: 2:2:4
a) Tiger makes some flapjacks using this recipe and uses 60g of syrup.
(i) What quantity of butter should he use?
g
(ii) What will be the total quantity of flapjacks he makes?
b) Using this recipe, 150g of syrup are needed to make 8 flapjacks.
Find the quantity of oats needed to make 12 of these flapjacks.
Optional working
+
Answer:
g
g
The quantity of butter that should be used is 120g. ii. The total quantity of flapjacks would be: 540g. b. The amount of oats would be: 75g.
What is ratio?Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.
Given that the ratio of ingredients for the recipe is 1: 2: 2: 4.
Let us suppose the syrup has a ratio of 1x, then the ratio of other ingredients are:
sugar = 2x
butter = 2x
oats = 4x
a. Tiger uses syrup, x = 60g
i. The quantity of butter that should be used is 2x = 2(60) = 120g.
ii. The total quantity of flapjacks would be:
x + 2x + 2x + 4x = 60 + 120 + 120 + 240 = 540g
b. Given that:
150g syrup = 8 flapjacks
x = 1 flapjack
Using the cross multiplication method, we have:
x = 150/8
x = 18.75g
So, for one flap jack the syrup needed is 18.75g, then the amount of oats would be: 4x = 4(18.75) = 75g.
Hence, the quantity of butter that should be used is 120g. ii. The total quantity of flapjacks would be: 540g. b. The amount of oats would be: 75g.
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4. The sum of the first eight terms of an arithmetic sequence is 60. The sum of the 9th to 14th terms is 108. Find the 25th term.
Answer:
PLACEHOLDER SRRY BRB
Step-by-step explanation:
I need a answer with solution please help
Answer: b because i searched it up and thats what it is
Area of a circle with a radius of 15.6
Answer:
Roughly around 764.15
Step-by-step explanation:
The equation to find area is A = π r^2
When you replace the values, you get A = π 15.6^2
15.6 squared is 243.36, so you end up with A = π x 243.36
Once you multiply them, you get 764.15, which is roughly the amount
4 Paul sees this advert for a payment plan for a laptop.
Laptop payment plan
normal price £240
pay a deposit of £36 and £15 a month for 12 months
use our payment plan and save 8% of the normal price
(a) Does using the payment plan save 8% of the normal price?
You must show your working
Step-by-step explanation:
by using the paymdnt pkan, the total amount to pay is,
36 + 15×12
= £216
so saving 240-216 = 24. ( 10%)
so it is not 8% saving
Work out the following sheet
Answer:
Subtract two angles together to get the answer 19.(22) 20.(12)
Can someone solve this with the work also shown?
Answer:
a.
The growth rate (k) can be calculated using the exponential growth formula: P = P0 * e^(kt), where P0 is the initial population, t is the time in years, and e is the natural logarithm base.
From the information provided, the initial population of elves in 2000 was 23, and in 2003, the population was 34. By substituting the values into the formula and solving for k, we get:
34 = 23 * e^(k * 3)
Taking the natural logarithm of both sides:
ln(34) = ln(23 * e^(k * 3))
Using the logarithmic identity:
ln(34) = ln(23) + ln(e^(k * 3))
Solving for k:
k = (ln(34) - ln(23)) / (3) = 0.175
Therefore, the growth rate (k) for the population of elves is 0.175.
b.
To find the population of elves in 2020, we can use the exponential growth formula:
P = P0 * e^(kt)
Substituting the initial population of elves in 2000, which was 23, and the growth rate (k), which we found to be 0.175, we get:
P = 23 * e^(0.175 * 20)
Calculating the exponential function:
P = 23 * e^3.5
Therefore, there will be approximately 51 elves in 2020.
c.
To find the year when there will be 543 elves, we can use the exponential growth formula and solve for t:
543 = 23 * e^(0.175 * t)
Dividing both sides by 23 and taking the natural logarithm of both sides:
ln(543/23) = 0.175 * t
Solving for t:
t = (ln(543/23)) / 0.175
Therefore, there will be 543 elves in the year 2027.
i am not sure
can someone pls help thank you.
The length of the side BC is 5 unit.
What is distance between two points?The length of the line segment bridging two points on a plane is known as the distance between the points.
The formula to find the distance between the two points is usually given by d=√{(x₂-x₁)² + (y₂-y₁)²}
Given:
A quadrilateral has vertices:
A(0, -3)
B(6, -3)
C(9, 1)
D(3, 1)
The length of the side BC = √{(x₂-x₁)² + (y₂-y₁)²}
= √{(9 - 6)² + (1 + 3)²}
= 5
Therefore, the length is 5 unit.
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i want my sparx to be done please help
(a) The perimeter of the rectangle in centimeter is 2,800 cm.
(b) The area of the rectangle is 450,000 cm².
What is the perimeter of the rectangle?The perimeter of the rectangle in centimeter is calculated as follows;
P = 2 ( L + B )
where;
L is the length of the perimeterB is the breadth of the perimeterThe length of the rectangle = 9 m = 900 cm
The breadth of the rectangle = 5 m = 500 cm
Perimeter = 2 ( 900 cm + 500 cm ) = 2,800 cm
The area of the rectangle is calculated as follows;
A = LB
A = 900 cm x 500 cm
A = 450,000 cm²
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Use the following probabilities to answer the question. Round to 4 decimal places.
P(A) = 0.57, P(B) = 0.33, P(A and B) = 0.10.
P(B | A)
Submit Question
P(B|A) = P(A and B) / P(A) = 0.10 / 0.57 = 0.1754.
What do you mean by Probability?Probability is a branch of mathematics that deals with the study of random events and their likelihood of occurring. It provides a framework for understanding the uncertainty and unpredictability of real-world events and helps to make informed decisions based on data and evidence.
The basic concept of probability is the idea that every event has a numerical value between 0 and 1, representing the likelihood of the event occurring. An event with a probability of 1 is considered certain to occur, while an event with a probability of 0 is considered impossible to occur. Events with probabilities between 0 and 1 are considered uncertain, and their likelihood of occurrence can be described using a probability distribution.
There are different methods for calculating probabilities, including classical probability, which assumes that all outcomes are equally likely, and empirical probability, which is based on actual observations of real-world events. The concept of conditional probability is also important, as it allows us to calculate the likelihood of an event occurring given the occurrence of another event.
Probability is widely used in many different fields, including science, engineering, finance, and medicine. In science, it is used to model and understand complex systems, while in engineering it is used to design and test new technologies. In finance, it is used to evaluate investments and make informed decisions, while in medicine it is used to assess the risk of diseases and evaluate the effectiveness of treatments.
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Fill in the blank 12/18 =_/18 =14/_ =_/27
The value in the blank are: 12/18 =12/18 =14/9.3 =18/27.
What is cross multiplication?To discover the unknown values in a mathematical equation, we cross multiply the numbers in the equation. The method of cross multiplication is frequently employed to identify the missing variable in an equation. We multiply both the numerator and denominator of the provided expression or fractions.
The given fractions are as follows:
12/18 =_/18 =14/_ =_/27
Taking the first two terms and applying cross multiplication we have:
12/18 =_/18
12(18)/ (18) = x
x = 12
Taking the next two terms:
12/18 =14/ y
Applying cross multiplication we have:
y = (14)(12)/ (18)
y = 9.3
Taking the third term and applying cross multiplication we have:
12/18 = z/27
z =12(27)/ 18
z = 18
Hence, the blanks are:
12/18 =12/18 =14/9.3 =18/27
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How can you rewrite -8
−
− 10 as an addition problem
Answer:
When using inverse operations with negative numbers, when you change subtraction to addition, the negative turns to a positive.
-8 - -10 can be changed to:
8 + 10
8 + 10 = 18
Step-by-step explanation:
Hope it helps! =D
Sorry took so log to answer. My internet is being slow some reason. -_-
Hector plays a video game that awards gems based on how long he plays. He made this graph to study how his playing time relates to number of gems:
A graph plots t=playing time in hours on the horizontal axis, from 0 to 7, in increments of 1, versus g=total gems on the vertical axis, from 0 to 48, in increments of 8, on a coordinate plane. Points are plotted as follows: (2, 16), (4, 32), and (6, 48).
A graph plots t=playing time in hours on the horizontal axis, from 0 to 7, in increments of 1, versus g=total gems on the vertical axis, from 0 to 48, in increments of 8, on a coordinate plane. Points are plotted as follows: (2, 16), (4, 32), and (6, 48).
How many total gems will Hector get if he plays for
10.5
10.510, point, 5 hours?
gems
The number of gems that Hector will get if he plays for 10.5 hours is given as follows:
84 gems.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
From the table, the constant is given as follows:
k = 48/6 = 32/4 = 16/2 = 8.
Hence the equation giving the number of gems after playing for x hours is given as follows:
y = 8x.
After 10.5 hours, the number of gems is then given as follows:
y = 8 x 10.5
y = 84 gems.
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Answer:
84
Step-by-step explanation:
 UNDER 5 min!!!
PLS ANSWER QUICK CORRECTLY!!!! help ya girl ouu!
what is the period of the sinusoidal function? enter your answer in the box.
The period of the sinusoidal function in this problem is given as follows:
5 units.
How to obtain the period of the function?A periodic function is a function that has the behavior repeating in intervals over the domain.
Then the period of the function is defined as the shortest difference between two points in which the function has the same behavior.
One of the examples of the shortest difference in this problem is between x = 1 and x = 6, hence the period is calculated as follows:
6 - 1 = 5 units.
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Graph each system and determine the number of solutions that it has. If it has one solution, name it.
Y = 4X + 2
Y = -2x - 4
Answer:
1) x=1/4Y-1/2 2) x=1/4Y-1/2
Step-by-step explanation:
x=1/4Y-1/2 x=1/4Y-1/2
-4x=2-Y 2x=-4-Y
x=-1/2+1/4Y x=-2-1/2Y
x=1/4Y-1/2 x=1/4Y-1/2
Please help me I WILL GIVE BRAINLIEST! This question is 10 points!!
Answer: D
Step-by-step explanation:
Srry, Im really bad at explaining but the answer is prob D
707 divided by 6 with remainder
72 and 75 find the length of the third side of the right triangle
Answer:
[tex]3\sqrt{1201}[/tex]
Step-by-step explanation:
assuming the missing side was the long side or the c side
[tex]a^{2} +b^2=c^2\\72^2+75^2=c^2\\5184+5625=10809\\\sqrt{10809}=3\sqrt{1201}[/tex]
If an average-sized man with a parachute jumps from an airplane, he will fall
12.5(0.2t − 1) + 20t feet
in t seconds. How long will it take him to fall 130 feet? (Round your answer to two decimal places.)
It take the man 19.83 seconds to fall to 130 feet
How to determine how long will it take him to fall 130 feet?From the question, we have the following parameters that can be used in our computation:
h(t) = 12.5(0.2t − 1)^2 + 20
When the man reaches 130 feet, we have
h(t) = 130
Substitute the known values in the above equation, so, we have the following representation
12.5(0.2t − 1)^2 + 20 = 130
Using a graphing calculator, we have
t = 19.83
Hence, the time is 19.83 seconds
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. Describe the graph of the function. Y=sqrt x-7 +8
The sides of a square field are 12 meters. A sprinkler in the center of the field sprays a circular area with a diameter that corresponds to a side of the field. How far does the sprinkler travel in 2 revolutions? How much of the field is not reached by the sprinkler? Round your answer to the nearest hundredth.
There are 30.90 meters squared of the field is not reached by the sprinkler.
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
First, get the area of the square field. The area of the square is side multiplied by side.
A = S x S
A = 12 X 12
A = 144 meters squared
Second, get the area of the circle formed by the sprinkler.
The circle is formed inside the square with a radius of 6 meters (half of the diameter which is 12 meters).
A = πr²
A = 3.1415 x 6²
A = 113.09733 meters squared.
In order to get the not sprinkled area, subtract the area of the square by the area of the circle.
Hence, Not Sprinkled Area = 144 meters squared - 113.09733 meters squared
Thus, The final answer is 30.90 meters squared.
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In the diagram below of triangle CDE, F is the midpoint of CE and G is the midpoint of DE. If m∠ECD=12+9x, m∠EFG=−2x+111, what is the measure of ∠EFG?
The measure of m∠EFG in triangle CDE is equal to 93 units.
What is the midpoint theorem?In Mathematics, the midpoint theorem states that in a triangle, the line segment which joins the midpoints of any two (2) sides of the triangle must be parallel to the third side and congruent to half of the length of the third side.
By applying the midpoint theorem to triangle CDE, the measure of m∠EFG can be calculated as follows;
m∠ECD = m∠EFG
12 + 9x = −2x + 111
9x + 2x = 111 - 12
11x = 99
x = 99/11
x = 9.
For line segment m∠EFG, we have the following:
m∠EFG = −2x + 111
m∠EFG = −2(9) + 111
m∠EFG = −18 + 111
m∠EFG = 93 units.
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(100 POINTS!) In parallelogram JKLM if JL=32 find JN.
Answer:
JN = 16
Step-by-step explanation:
Since diagonals in parallelograms bisect each other, JN = [tex]\frac{1}{2}[/tex]JL
Answer:
To find JN in parallelogram JKLM when JL is 32, you can draw a line from J to L, and then extend the line to find JN. The length of JN will be equal to 32.
a comedy club earns $1088 from an opening night performance and $1183 from a second performance. on opening night the club sells 68 adult tickets sand 136 student tickets. on the second night the club sells 79 adult tickets and 140 student tickets what is the price of each ticket
Answer:
student tickets cost $4.50
adult tickets cost $7.00
Step-by-step explanation:
a = cost of an adult ticket
s = cost of a student ticket
(1) 68a + 136s = 1088
(2) 79a + 140s = 1183
solve (1) for a:
68a = 1088 - 136s
a = 16 - 2s substitute this into (2):
79(16-2s) + 140s = 1183
1264 - 158s + 140s = 1183 solve for s:
-18s = -81
s = -81/-18 = 4.50 plug this into either equation 1 or 2 to solve for a:
68a + 136(4.50) = 1088
68a = 1088 - 612 = 476
a = 476/68 = 7.00
Select the statement that is true. (Will give brainly points)
0.452 ÷ 2 = 0.226
0.452 ÷ 2 = 2.26
0.452 ÷ 2 = 22.6
0.452 ÷ 2 = 226
Answer: 0.452 ÷ 2 = 0.226 is the correct answer. :)
Please answer my question too, i would appreciate it.
What is the slope and y-intercept of this line?
y = –6x + 2
Answer:
the slope is -6
the y-intercept is 2
Step-by-step explanation:
y=mx+b where m is the slope and b is the y-intercept
a) Slope: -6;
b) y-intercept: 2, which means that the line touches the "y" axis on point (0, 2).
Step-by-step explanation:Given equation: [tex]y = -6x + 2[/tex].
Here's a little tip that will help you quickly find the slope and y-intercept.
First, solve the equation for "y". This equation is already solved for "y", this is called "slope-intercept form". Now, take a look at the attached image and identify the values. As you can tell, for the given equation, values are:
a) Slope: -6;
b) y-intercept: 2, which means that the line touches the "y" axis on point (0, 2).
You may verify this information using the algebraic methods (slope formula and substituting "x" by 0 and calculate "y"). It'll give you the same answer, this is just a faster way to find the values.
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