Given:
Given that a graph of the functions
\(\begin{gathered} y=-2x-4 \\ y=x+2 \end{gathered}\)Required:
To find the solution of the given functions using graph.
Explanation:
Calculate the loss on selling 50 shares of stock originally bought at 13 3/4 and sold at 12
The loss on selling 50 shares of stock would be 87.50.
To calculate the loss on selling 50 shares of stock originally bought at
\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.
First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.
Next, we calculate the difference between the purchase price and the selling price:
\(13.75 - 12 = 1.75.\)
Finally, we multiply the difference by the number of shares sold:
\(1.75 \times50 = 87.50.\)
Therefore, the loss on selling 50 shares of stock would be 87.50.
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A square has sides with lengths of (x − 1) units. A rectangle has a length of x units and a width of (x − 2) units. Which statements about the situation are true? Select all that apply. A The value of x must be greater than 2. B The difference in the areas is 2x−1. C The area of the square is (x2 − 1) square units. D The area of the rectangle is (x2 − 2x) square units. E The area of the square is greater than the area of the rectangle.
Answer:
A, D, E
Step-by-step explanation:
AREA OF SQUARE
\((x - 1)(x - 1) = x^2 - 2x + 1\)
AREA OF RECTANGLE
\(x(x - 2) = x^2 - 2x\)
Using this we know that the difference is 1, so B is incorrect. We also know that D and E are correct because we solved for the area. C is also wrong, by the same reasoning. Now, all we need to see is if A is right. Plug in x = 2.
\((2)^2 - 2(2) + 1 \\= 4 - 4 + 1 \\= 1\)
Because the area of the square is a square unit larger than the rectangle, the rectangle would have an area of 0, which is impossible, so A is correct.
Maria purchased a new jacket for $56.00. If she received a 20% discount on her purchase, what was the original cost of the jacket?
Answer:
Step-by-step explanation:
It would be 11.20
Hope this helps :)
Answer:
$70.00
Step-by-step explanation:
Original price formula = New price Divided by 1 - discount price
New price: 56
Discount price in decimal form: 0.20
1 - 0.20 = 0.80
56 divided by 0.80 is 70
70 is original price
-----------------------
Check your answer:
70 x 0.2 = 14
70 - 14 = 56
Assuming independence if the probability of it raining is 19/93, what is the probability that it will not rain? write your answer as a reduced fraction.
Cindy tried to find the sum of the exterior angles of the hexagon. What was her error?
will mark brainiliest!
Step-by-step explanation:
Simple, she found the sum of the interior angles not exterior angles.
The exterior angles of any polygon add up to 360 degrees.
What Cindy did was found the total interior angle measure of a hexagon which is 720
Carrie gave her hairstylist a $4.20 tip. The tip was 15% of the cost of the haircut. Write an equation to find h, the cost of the haircut, and solve.
Answer:
28
Step-by-step explanation:
you could wright the equation like 15/100=4.20/x
All I did is 100 divided by 15, which is 6.6666667, and then multiply that number by 4.20.
I hope this helped you!
The dimensions of a cylinder are shown in the diagram
Round to the nearest whole number , what is the total surface area of the cylinder in cubic centimeters
Answer:
S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3
Fidgets cost $3 each and Pop Its cost $4 each. If you buy a total of 20 Fidgets and Pop
Its for $75, which system of equations could you use to determine how many of each
you bought? Let x represent the number of fidgets you bought and y represent the
number of pop its you bought.
The number of fidgets and pop bought was 15 each
How to determine the equationFrom the information given, we have that;
1 fidget costs $3
1 Pop cost $4
Let the number of Fidgets be x
Let the number of Pop be y
Then, we have that a total of 20 fidgets and Pop cots $75
We have that;
20x + y = 75
Now, substitute the value of x as 3, we get;
20(3) + y= 75
expand the bracket
y = 75 - 60
y = 15
The number of fidgets is expressed as;
20x/4 = 20(3) /4 = 15
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the sum of three consecutive multiples of 7 is 44. Find the multiples.
Answer:
here's the Answer...see that
Step-by-step explanation:
Dividing by a Monomial
What is (9x^3-6x^2+15x) ÷ 3x^2?
Answer:
\(3x-2+\frac{5}{x}\)
Step-by-step explanation:
To divide the polynomial (9x^3 - 6x^2 + 15x) by the monomial 3x^2, we can write it as:
(9x^3 - 6x^2 + 15x) ÷ (3x^2)
To simplify the division, we divide each term of the polynomial by 3x^2:
(9x^3 ÷ 3x^2) - (6x^2 ÷ 3x^2) + (15x ÷ 3x^2)
To divide monomials with the same base, we subtract the exponents. So:
9x^3 ÷ 3x^2 = 9/3 * (x^3/x^2) = 3x^(3-2) = 3x
(-6x^2) ÷ (3x^2) = -6/3 * (x^2/x^2) = -2
15x ÷ 3x^2 = 15/3 * (x/x^2) = 5/x
Putting it all together, we have:
(9x^3 - 6x^2 + 15x) ÷ (3x^2) = 3x - 2 + 5/x
Therefore, the division of (9x^3 - 6x^2 + 15x) by 3x^2 is 3x - 2 + 5/x.
I need help ASAP is anyone available
Answer:
C
Step-by-step explanation:
The graph has asymptotes at x = 2 and x = -1 corresponding to the denominator of option C.
What is the mean? Of 6,4,15,19,7,5
Answer: 10
Step-by-step explanation:
The answer to the question is 9.33333 which would be 10 rounded
I NEED HELPP Solve for PMR please
The angle PMR in the quadrilateral is 32 degrees.
How to find the angle PMR?The angle PMR can be found as follows;
The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.
∠RPM ≅ ∠WPM
Hence,
∠RPM ≅ ∠WPM = 58 degrees
Therefore,
∠WPM = 58 degrees
∠PWM = 90 degrees
Let's find ∠PMR as follows
∠PMR = 180 - 90 - 58
∠PMR = 90 - 58
∠PMR = 32 degrees
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horizon cellular offers a monthly plan of $15 for 350 minutes. All talk cellular offers a monthly plan of $20 for 425 minutes. which company offers the better plan per minute? ill give brainliest
Answer:
Step-by-step explanation:
350minutes / $15 = 23.33 minutes per dollar
425minutes/$20 = 21.25 minutes per dollar
Looks like you get more minutes per dollar out of the $15 dollar plan. :)
Answer:
the 15 dollar plan
Step-by-step explanation:
What are the names of a circle with H
If the length of HJ is 7 unit then the length of EI is 14 unit.
What is a circle?A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
We are given a circle with center H.
Therefore, the radius of the circle is found as; HJ
Then the Diameter is the line from one point in the circle to the other point through the center of the circle.
Diameter of the circle = EI
Since we know that One of the theorems of a circle states that the angles in the same segments or on the same chord are equal.
Then the name of the chord is FG.
If the length of HJ is 7 unit then the length of EI is;
EI = 2 HJ
EI = 14 unit.
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Simplify your answer as much as possible.
:)
Answer:
y > 7
Step-by-step explanation:
Answer: y>-7
Step-by-step explanation:
1. Simplify 6/7y to 6y/7
1>-6y/7-5
2. Add 5 to both sides
1+5>-6y/7
3. Simplify 1+5 to 6
6>-6y/7
4. Multiply both sides by 7
6x7>-6y
5. Simplify 6x7 to 42
42>-6y
6. Divide both sides by -6
-42/6<y
7. Simplify 42/6 to 7
-7<y
8. Switch sides
Y>-7
Done~
Let f(x) be a polynomial with a leading coefficient of 6 and a constant term of 5. Which of the following cannot be true?
====================================================
Reason:
The leading coefficient is 6, which is the coefficient of the leading term (aka the first term). The constant is 5, which is the last term.
Here are some examples of what f(x) could be.
\(f(\text{x}) = 6\text{x}^2+\text{x}+5\\\\f(\text{x}) = 6\text{x}^3+2\text{x}^2-7\text{x}+5\\\\f(\text{x}) = 6\text{x}^5+4\text{x}^3-81\text{x}^2+5\)
The middle terms don't matter and neither does the exponent on the leading term.
So this is what the general template would look like
\(f(\text{x}) = 6\text{x}^{n}+\ldots+5\\\\\)
where n is a positive integer.
If we were to plug in x = 0, then all of the terms involving x go to zero. They cancel out. The only thing left standing would be the "5" at the very end.
So,
\(f(\text{x}) = 6\text{x}^{n}+\ldots+5\\\\f(0) = 6*0^{n}+\ldots+5\\\\f(0) = 0+0+\ldots+0+0+5\\\\f(0) = 5\\\\\)
In short, the constant value is the y intercept of the polynomial curve. It allows us to quickly spot it without having to do much (or any) math.
This is why choice B is a false statement.
The other answer choices cannot be proven true or false since we don't have enough information about this particular function.
What is the equation of the
circle with centre (2,-3) and
radius 5?
Answer:
Step-by-step explanation:
Solution:
\((x-2)^2+(y+3)^2=25\)
Equation of general circle:
\((x-a)^2+(y-b)^2=r^2\) where (a,b) is circle center and r is the radius.
Which multiplication sentences equal to the division sentence?
Answer:
the second option (middle)
Step-by-step explanation:
Talwar wants to invest R5800 at simple interest rate of 12,2% per annum. How many years will it take for the money to grow to R26100
It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.
To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:
Simple Interest = Principal × Rate × Time
Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:
Time = (Amount - Principal) / (Principal × Rate)
Plugging in the values, we have:
Time = (R26,100 - R5,800) / (R5,800 × 0.122)
= R20,300 / R708.6
≈ 28.67 years
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12 (2 - 12) = -9(1 + 7.x)
Answer:
It depends on which form you are looking for.
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form: x=37/21
Decimal Form: x=1.761904
Mixed Number Form: x=1 16/21
4. Billy Breath jogged 40 miles in 16 minutes. What is his rate of speed?
Answer:
2.5 mins
Step-by-step explanation:
Step 1:
40 : 16 Ratio
Step 2:
40 ÷ 16 Divide
Answer:
2.5
Hope This Helps :)
Answer:
i think the answer is 150 mi/h
Step-by-step explanation:
what is the value of the expression -x + y when x =2.1 and y = -11.8
Answer:
-9.7
Step-by-step explanation:
Given
x + y when x =2.1 and y = -11.8
Solution
x+y
substitute x=2.1 and y=-11.8
2.1+(-11.8)
2.1 - 11.8 = -9.7
The final answer is -9.7
(giving brainlelist if answered correctly!) which of the following inequalities is -4
?
Answer
A, B, E.
Hope you could get an idea from here.
Doubt clarification - use comment section.
6 to the power of -3 as a simplified fraction or integer
Answer:
Step-by-step explanation:
1. Make Words into Math
6 to the power of -3 =
6^-3=
-6*-6*-6=
0.00462962962
Answer:0.00462962962
Which algebraic expression is equivalent to the expression below?
(13x - 7) + (12 - 3x)
A.
10x + 5
B.
25x - 10
C.
16x + 19
D.
10x + 19
Answer:
10x + 5
A is the correct answer
Step-by-step explanation:
Mr. Cho received a container of fresh eggs. He sold 1/3
of the eggs in the
morning and sold 320 eggs in the afternoon. At the end of the day, he
found that 1/4
of the eggs were not sold. How many eggs did he receive in
the beginning?
Mr. Cho received 3840 eggs in the beginning.
Let's assume that Mr. Cho received x eggs in the beginning.
In the morning, he sold 1/3 of the eggs, so he had 2/3 of the eggs left. Therefore, he had 2/3 x eggs left after the morning sales.
In the afternoon, he sold 320 eggs, so he had 2/3 × x - 320 eggs left at the end of the afternoon.
At the end of the day, he found that 1/4 of the eggs were not sold, which means that he had 3/4 of the eggs left. Therefore, we have:
3/4 × x = 2/3 × x - 320
Multiplying both sides by 12, we get:
9x = 8x - 3840
Simplifying, we get:
x = 3840
Therefore, Mr. Cho received 3840 eggs in the beginning.
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The surface area of the United States is 3.797 million square miles. The state of Alaska, our largest state in terms of area, occupies 655,400 square miles. Using ratios, determine what percentage of the surface area of the United States is occupied by Alaska, rounded to the nearest whole number.
Alaska occupies 17.22% of the surface area of the United States. Rounding to the nearest whole number, we get 17%. Hence, the answer is:17%
We are given that the surface area of the United States is 3.797 million square miles and the state of Alaska occupies 655,400 square miles. We need to determine what percentage of the surface area of the United States is occupied by Alaska using ratios.To find the percentage, we need to first find the ratio of Alaska's surface area to the surface area of the United States. We can do this by dividing the surface area of Alaska by the surface area of the United States. That is,655,400 / 3,797,000 = 0.1722We can express this ratio as a percentage by multiplying by 100. That is,0.1722 × 100 = 17.22%
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Select the correct answer. Simplify the following expression.
The simplified exponential expression for this problem is given as follows:
D. 1/49.
How to simplify the exponential expression?The exponential expression for this problem is defined as follows:
\(7^{-\frac{5}{6}} \times 7^{-\frac{7}{6}}\)
When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents.
Hence the exponent is given as follows:
-5/6 - 7/6 = -12/6 = -2.
The negative exponent is moved to the denominator, hence:
1/7² = 1/49.
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When asked about their favorite
holiday, only 10% of the class picked
Valentines Day. How many student
picked Valentine's Day if there were 30
students?