Answer:
Many ways.
They can vote on it.
They can elect a council that will choose all the positions.
One person can just declare himself a position.
Represent the quadratic function
For the given table of ordered pairs, the quadratic function is represented in equation in standard form is equal to y = x² - 14x + 48 .
As given in the question,
From the table of ordered pairs, it is observed that the zeros of the quadratic function are at x = 6 and x = 8. The zeros are the points where the y value of the function becomes zero.
An equation of the function in the standard form is given by :
y = (x - 6)(x - 8)
⇒y = x (x - 8) - 6 (x - 8)
⇒ y = x² -8x -6x +48
⇒ y = x² -14x + 48
The quadratic function is represented as the product of the zeros of the graph when plotted on a Cartesian plane.
Therefore, for the given table of ordered pairs, the quadratic function is represented in equation in standard form is equal to y = x² - 14x + 48 .
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See screenshot Below.
Answer:
78 Kg
Step-by-step explanation:
Because he gained at a constant rate first find that rate
in 1.5 months gained 93.6 - 85.8 = 7.8 so
whhen he started his diet he was at 85.8 -7.8 = 78 kilograms
5 (2x+1) +4 (x+1)=12(x+2)
Answer:
x=–/-4
Step-by-step explanation:
Let's solve your equation step-by-step.
5(2)(1)+4(x+1)=x+2
Step 1: Simplify both sides of the equation.
5(2)(1)+4(x+1)=x+2
5(2)(1)+(4)(x)+(4)(1)=x+2(Distribute)
10+4x+4=x+2
(4x)+(10+4)=x+2(Combine Like Terms)
4x+14=x+2
4x+14=x+2
Step 2: Subtract x from both sides.
4x+14−x=x+2−x
3x+14=2
Step 3: Subtract 14 from both sides.
3x+14−14=2−14
3x=−12
Step 4: Divide both sides by 3.
3x
3
=
−12
3
x=−4
Answer:
x=−4
A trader sells eggs at 30naira each or 150naira for six, How much do you save by buying three doten eggs in sixes Instead of separately
He saved 180 naira by buying three dozen eggs in sixes Instead of separately.
What is a dozen?A group of twelve is referred to as a dozen and is frequently abbreviated as doz or dz. Given that there are roughly twelve lunar cycles (or months) in each cycle of the sun (or year), the number twelve may be one of the earliest primitive integer groupings.
Twelve is useful because it has the greatest number of divisors among numbers up to its double, a property shared only by the numbers 1, 2, 6, 12, 60, 360, and 2520.
1 dozen = 12
3 dozen = 36
6 eggs costs 150 naira
36 eggs costs 150 naira = 36/6 × 150
= 900 naira
Each egg costs 30 naira, then 36 eggs costs = 36 × 30
= 1080 naira
Savings = 1080 - 900 = 180 naira
Thus, He saved 180 naira by buying three dozen eggs in sixes Instead of separately.
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RECTANGLE WRA AROUND question number 2hello I'm a 7th grader can u please help me with my math summer package and explain it in a way that a 7th grader can understand it First riangle has an area of 9 square units
a. The length of the rectangle above is 2 units (horizontal)
The width of the rectangle above is 4 units (vertical)
b. To find the area of a rectangle you multiply the length by the width. For the given rectangle you have the next formula:
\(\begin{gathered} Area=Length\times Width \\ \\ Area=2units\times4units \\ \\ Area=8units^2 \end{gathered}\)c.
d. The two congruent (equal) shapes formed above are triangles.
e. The area of one triangle is the half of the area of the rectangle:
\(\begin{gathered} Area\text{ }triangle=\frac{Area\text{ }rectangle}{2} \\ \\ Area\text{ }triangle=\frac{Length\times Width}{2} \\ \\ Area\text{ }triangle=\frac{2units\times4units}{2} \\ \\ Area\text{ }triangle=\frac{8units^2}{2} \\ \\ Area\text{ }triangle=4units^2 \end{gathered}\)(HELP) What is the perimeter of the figure?
28 m
20 m
22 m
14 m
Answer:
20m
Step-by-step explanation:
Perimeter is the sum of all the sides.
Perimeter = 3+5+1+7+4 = 20m
Frankie’s weekly budget includes a long-term goal of purchasing a car. He is saving $15 a week toward that goal. He is considering saving up his money to purchase his grandmother’s older car. Frankie knows his grandmother has maintained the car and it is in good condition. She is also giving him a greatly discounted price of $800. What should Frankie consider before buying the car? Check all that apply. what he will be giving up if he spends $800 on the car the cost to maintain (oil, tires, gas, brakes) and insure the car how many of his friends have cars his short- and long-term financial goals if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs
The decision of purchasing a car must be taken by Frankie after considering the following points:
1. what he will be giving up if he spends $800 on the car
2. The cost to maintain and ensure the car
3. his short- and long-term financial goals
4. if an alternate mode of transportation, such as a bicycle or the bus, is sufficient for his needs.
What is the point he must know about purchasing a car?Frankie is an individual person when he wants to purchase a car that is his long-term goal.
he must consider various things before making such a big expenditure.
The points to be noted before purchasing a car are:
what is the cost for Frankie for spending $800?
What will be the maintenance and insurance cost?
He must check his other short and long-term goals before purchasing a car.
Is the expense of the car a necessity for Frankie or he can use public transport.
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Answer:
Step-by-step explanation: thank me later
A,B,E
Which expression is equal to 2√54 - 4√24?
Answer:
What percent of the large square is shaded? The grid is divided into 10 rectangles. For percents, you need to look at 100 equal-sized parts of the whole
Step-by-step explanation:
A landscaping company charges $48 per cubic yard of mulch plus a delivery charge of $28. Find a linear function which computes the total cost C (in dollars) to deliver x cubic yards of mulch.
The linear function for the total cost C is:
\(\text{C} = 28 + 48\text{x}\)What is a function?A function is an expression, rule, or law that defines a relationship between one variable.
Example:
\(f(\text{x}) = 2\text{x} + 1\)
\(f(1) = 2 + 1 = 3\)
\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Charge per cubic yard = $48Delivery charge = $28The total cost for x cubic yards.
\(\bold{C = 28 + 48x}\)
Thus, the function is C = 28 + 48x.
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Dots sells T-shirts ($5) and shorts ($9). In April, total sales were $570. People bought 2 times as many T-shirts as shorts. How many T-shirts and shorts did Dots sell?
The number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.
What is system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Dots sells T-shirts ($5) and shorts ($9).
In April, total sales were $570. People bought 2 times as many T-shirts as shorts.Let suppose the number of T-shirts sold is x and shorts sold is y. Dots sells T-shirts ($5) and shorts ($9) with total sales of $570. Thus,
\(5x+9y=570\)
Solve it further,
\(5x+9y=570\\9y=570-5x\\y=\dfrac{570-5x}{9}\) ....1
People bought 2 times as many T-shirts as shorts. Thus,
\(x=2y\) ....1
Put the value of y form equation in this equation as,
\(x=2\times\dfrac{570-5x}{9}\\9x=1140-10x\\10x+9x=1140\\x=\dfrac{1140}{19}\\x=60\)
Put this value of x in equation 2 as,
\(x=2\times y\\60=2\times y\\y=\dfrac{60}{2}\\y=30\)
Thus, the number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.
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Which statement describes the relationship between x
and y?
As x increases, y decreases.
QAs x increases, y increases.
O As x increases, y increases and then decreases.
As x increases, y decreases and then increases.
Answer:
1.) inverse proportion : 1kx = y
2) direct proportion. y = kx
El ancho de un rectángulo es 15 pies menos que
su largo. Halla las dimensiones del rectángulo si el
perímetro es igual a 250 m.
Answer:
II. Longitud, L = 70 metros.
I. Ancho = 55 metros.
Step-by-step explanation:
Deje que la longitud del rectángulo sea L.
Deje que el ancho del rectángulo sea W.
Dados los siguientes datos;
Perímetro del rectángulo = 250 m
Traduciendo el problema verbal a una expresión algebraica, tenemos;
W = L - 15
Matemáticamente, el perímetro de un rectángulo viene dado por la fórmula;
P = 2 (largo + ancho)
250 = 2 (L + L - 15)
250 = 2 (2L - 15)
250 = 4L - 30
4L = 250 + 30
4L = 280
L = 280/4
Longitud, L = 70 m
Para encontrar el ancho;
W = L - 15
W = 70 - 15
Ancho = 55 m
Isabel purchased a prepaid phone card for $20. Long-distance calls cost 18 cents a minute using this card. Isabel used her card only once to make a long-distance call. If the remaining credit on her card is $14.24, how many minutes did her call last?
Answer:
20 - .07c = 17.13
20 - 17.13 = 2.87
2.87/7 = 41
Her call took 41 minutes
Step-by-step explanation:
Solve using Cramer's rule.
6x + 5y = 25
7x − 9y = 44
x = 7, y = −1
x = 5, y = −1
x = 5, y = −2
x = 7, y = −2
The solution to the simultaneous equations using Cramer's rule is;
x = 5, y = −1
How to use Cramer's rule to solve simultaneous equations?The simultaneous equations are;
6x + 5y = 25
7x − 9y = 44
We will first find the determinant of the left hand side;
\(\left[\begin{array}{ccc}6&&5\\7&&-9\\\end{array}\right]\)
|A| = (6 * -9) - (7 * 5)
|A| = -89
Now, will replace the x part of the matrix with the right side values to get;
\(\left[\begin{array}{ccc}25&&5\\44&&-9\\\end{array}\right]\)
The determinant is;
|A_x| = (25 * -9) - (44 * 5)
|A_x| = -445
Now, will replace the y part of the matrix with the right side values to get;
\(\left[\begin{array}{ccc}6&&25\\7&&44\\\end{array}\right]\)
The determinant is;
|A_x| = (6 * 44) - (25 * 7)
|A_x| = 89
Thus;
x = |A_x|/|A|
x = -445/-89
x = 5
y = |A_y|/|A|
y = 89/-89
y = -1
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2. WOULD I HAVE COMPETENCES AIMED AT POSITIONING ME IN THE PROFESSIONAL MARKET?
Answer:
In the professional market there is always professional competition, because there are always different professionals competing or looking for the same jobs.
¿What is the labor market?This has been the market where the demand and supply associated with work or labor elements are concentrated.
In a labor market, as in any other market, there are skills, in this context, job skills, because there are always several professionals looking for the same job offers or opportunities.
¡Hope this helped!
Please answer ASAP will give brainliest!!!!!!!
Answer: No he is not correct the answer is 6 3/8
Step-by-step explanation: so what you have to do is add the 2 numbers you it should look like this(2 3/4+ 3 5/8) then you want to add the 2 and the 3 and add the 3/4 and 5/8 it should look like this (5+11/8) then you want to converse the number to a mixed number it should look like this (5+1+3/8) then you should add the
Answer:
No. Total distance = 6 3/8.
Step-by-step explanation:
\(2\frac{3}{4}+3\frac{5}{8}=\frac{11}{4}+\frac{29}{8}\\\\\)
\(=\frac{11*2}{4*2}+\frac{29}{8}\\\\=\frac{22}{8}+\frac{29}{8}\\\\=\frac{22+29}{8}\\\\=\frac{51}{8}\\\\=6\frac{3}{8}\)
HELP PLZ IT would mean a lot
Answer:
Since this is a proportional relationship,
We know that the number which are proportional are a multiple of each other
the number which we can multiply one of the numbers to get the other number is the constant of proportionality
we could check for proportionality by using the following formula:
p1 / s1 = p2/s2 = p3/s3 = p4/s4 if they were equal, we can say that the relation is proportional
The value of any of the above values, p1/s1 , p2/s2 , p3/s3 , p4/s4 is the constant of proportionality
Therefore, the constant of proportionality = 20 / 5 = 4
A gardener wants to determine which of two brands of fertilizer is best for the plants in a garden. Before using one of the fertilizers on the entire garden, the gardener decides to conduct an experiment using 28 individual plants. Which of the two plans for randomly assigning the treatments should the gardener use? Explain.
Plan A: Choose the 14 unhealthiest-looking plants. Apply Brand X fertilizer to all 14 of those plants. Apply Brand Y fertilizer to the remaining 14 plants.
Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.
Plan A, because the unhealthy plants need the fertilizer the most and should be treated first
Plan B, because the sample of plants is randomly chosen
Plans A and B are equivalent because they both follow experimental design
Plans A and B are both poorly designed because there are not enough plants to test
The plans cannot be evaluated from the information given
Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.
What is a sample and its types?A sample is only a small portion of the population.
Let's imagine you were interested in determining the average income for all Americans in your population.
Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.
Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.
And the gardener decides to conduct an experiment using 28 individual plants.
Plan A will be a biased sampling and the experiment would not yield
desired results.
Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.
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HELP ME OUT PLS!!!
What is the measure of Angle z in this figure?
A) 124°
B) 90°
C) 180°
D) 56°
1000 divided by _________= 10
1000 divided by _________=1
42,000 divided by _________ = 42
42,000 divided by ___________ = 4200
NEED NOW PLEASE.....
PLEASE HELP ME I need the answer asap cause my grade is low and this determines my final.
Answer:
i cant see the graph zoom in
Step-by-step explanation:
Answer:
I'm sure it's 2/3
Step-by-step explanation:
the slope is positive and it rises up 2 and over 3
What was the original price of the car? Show all work
Answer:
I got u, it is litearly 16540/83.8 = $19737.5
Step-by-step explanation:
its very simple sincen 100-16.2=83.8
The table represents a linear function.
What is the slope of the function?
-10
-5
5
10
How do I graph this?
Answer:
first solve for y and simplify
y+5=\(\frac{2}{3} x\)+4/3
y=\(\frac{2}{3} x\)+4/3-5
y=\(\frac{2}{3} x\)-11/3
Now graph this
y intercept=(0,-11/3)
use the slope to find another point
(3,-1.667)
draw a line using both points
4. Which percent is equivalent to the fraction 37/50?
a bag contains four types of coins. The probability of drawing a penny, nickel and dime is shown below. What is the probability of drawing a single coin that has a value of at least $.10?
Using probability we know that we have full probability or 1 that we will draw a coin that will have ethe value of at least $0.10.
What is probability?A probability is a numerical representation of the likelihood or chance that a specific occurrence will take place.
Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Simply put, probability is the likelihood that something will occur.
When we don't know how an occurrence will turn out, we can discuss the likelihood or likelihood of various outcomes.
So, we have the chart:
Penny = 2/5 = 0.4
Nickel = 1/5 = 0.2
Dime = 1/4 = 0.25
Then, the probability of getting a value of at least $0.10
P(E) = 3/3
P(E) = 1
Therefore, using probability we know that we have full probability or 1 that we will draw a coin that will have ethe value of at least $0.10.
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Mina has 462 flowers if she wants to put nine flowers in each phase how many for vases will she have how many flowers will she have left over
The perimeter of a rectangle is 40 inches. Find the length and width if the length is an integer and the width is 2 times the next consecutive integer. Length = Width =
The values are;
Length = 6 inches
Width = 14 inches
How to determine the valuesThe formula for determining the perimeter of a rectangle is expressed as
P = 2( l + w)
Where;
P is the perimeterl is the lengthw is the widthFrom the information given, we have;
Length = x
Width = 2(x + 1) = 2x + 2
Now, substitute the values
40 = 2( x + 2x + 2)
expand the bracket
40 = 2(3x + 2)
40 = 6x + 4
collect like terms
6x = 40 - 4
6x = 36
x = 36/6
Divide the values
x = 6 inches
Length = 6 inches
Width = 2( 6 + 1) = 2(7) = 14 inches
Hence, the values are 6 and 14 inches
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The values are;
Length = 6 inches
Width = 14 inches
How to determine the values
The formula for determining the perimeter of a rectangle is expressed as
P = 2( l + w)
Where;
P is the perimeter
l is the length
w is the width
From the information given, we have;
Length = x
Width = 2(x + 1) = 2x + 2
Now, substitute the values
40 = 2( x + 2x + 2)
expand the bracket
40 = 2(3x + 2)
40 = 6x + 4
collect like terms
6x = 40 - 4
6x = 36
x = 36/6
Divide the values
x = 6 inches
Length = 6 inches
Width = 2( 6 + 1) = 2(7) = 14 inches
Hence, the values are 6 and 14 inches
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hen traveling by train, the average speed, s, in miles per hour is inversely proportional to the time, t, the trip takes in hours. If the train takes 2 hours, and the average speed is 120 mph. Determine the constant of variation
A: 1/60 miles
B: 120 miles
C: 60 miles
D: 240 miles
will mark brainliest pls help
The constant of variation of the given problem is calculated as; 240 miles
How to find the constant of variation?A constant of variation (k) is defined as a ratio that represents the relationship between the independent variable (x) and the dependent variable (y).
Now, we are told that average speed, s, in miles per hour is inversely proportional to the time, t, the trip takes in hours. Thus;
s ∝ 1/t
Thus;
s = k(1/t)
where k is the constant of proportionality
we are told that If the train takes 2 hours, and the average speed is 120 mph. Thus;
120 = k(1/2)
Multiply both sides by 2 to get;
240 miles = k
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