Answer:
Explanation:
Here, we want to get the system of equations for which y = -2 is a solution
When we plot the graph of a system of linear equations, the point at which the lines cross over each other represents the solution of the equation
We simply need to get the system of equations wherein we have y = -2 as a solution
We have this as follows:
\(\begin{gathered} 3x-y\text{ = 2} \\ y=\text{ -x-2} \end{gathered}\)Looking at the plot of these two lines, their point of intersection is at the point (0,-2)
Thus, this system of equation has as its solution the value y = -2
Krista designs quilts using the pattern shown. The table of values describes the shaded area of the pattern in square units, y, as a function of the length of a side,X units. Which equation describes this relationship?
The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²
Modeling relationship between two variablesSide length, x = 1,3,4,5,8
Shaded Area, y = 0.5, 4.5, 8, 12.5, 32
The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c
a = 0.5 ; b = 0 ; c = 0
Therefore, the quadratic function can be written as y = 0.5x²
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Suppose you are going to graph the data in the table below. What data should be represented on each axis, and what would be the
appropriate increments?
Reporting periods Sales
d out of 2
Flag
an
Jan-Mar., 2010
$100,000
Apr.-Jun., 2010
$55,000
Jul.-Sep., 2010
$45,000
Oct-Dec., 2010
$110,000
Jan. --Mar., 2011
$330,000
Apr.-Jun., 2011
$800,000
Jul.-Sep., 2011
$242,000
Oct-Dec., 2011
$150,000
Answer:
the months would be the x axis and the numbers would be the y axis and the increments could start at 45k and have to go up to 800k don't forget the years with the months
Using the given information, find the mean, median, and mode.
To calculate the mean, median, and mode, we first need to know what each of these terms represents. The mean, also known as the average, is the sum of all the values divided by the total number of values. To find the mean, add up all of the values and divide by the number of values. The median is the middle value in a set of data when it is arranged in order from least to greatest. The mode is the value that occurs most frequently in a set of data. Here's an example to illustrate these concepts:
Let's say we have a set of data consisting of the following values: 2, 5, 5, 7, 8, 10, 12. To find the mean, we add up all of the values and divide by the number of values. In this case, the sum of the values is 49 (2+5+5+7+8+10+12) and there are 7 values, so we divide 49 by 7 to get the mean, which is approximately 7. To find the median, we first need to arrange the data in order from least to greatest: 2, 5, 5, 7, 8, 10, 12. The middle value is 7, so that is the median. To find the mode, we look for the value that occurs most frequently. In this case, 5 occurs twice, which is more than any other value, so the mode is 5.
In conclusion, the mean, median, and mode are all measures of central tendency that can be used to describe a set of data. The mean is the average value, the median is the middle value, and the mode is the value that occurs most frequently. When calculating these measures, it is important to carefully consider the data and choose the appropriate method for finding each value.
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Write the equation in function form:
8x + 4y = 20
Find the surface area
of the figure below:
19 cm
30 cm.
The surface area of the figure is approximately 997.5π cm².
We have,
The figure has two shapes:
Cone and a semicircle
Now,
The surface area of a cone:
= πr (r + l)
where r is the radius of the base and l is the slant height.
Given that
r = 15 cm and l = 19 cm, we can substitute these values into the formula:
= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)
The surface area of a semicircle:
= (πr²) / 2
Given that r = 15 cm, we can substitute this value into the formula:
= (π(15)²) / 2
= 112.5π cm² (rounded to one decimal place)
The surface area of the figure:
To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:
Now,
Total surface area
= 885π + 112.5π
= 997.5π cm² (rounded to one decimal place)
Therefore,
The surface area of the figure is approximately 997.5π cm².
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find the x & y intercept for 3x-y=-5?
Answer:
Turn the answer to
-y = -3x - 5
-3 is the slope, and -5 is the y - intercept. Now graph it and look for the x intercept
Step-by-step explanation:
A house worth £80,000 in January 2012 is set to decrease in value by 7% per year.
What will the value of the house be in January 2015?
in the right triangle shown, cos B = .33 and a = 4. Find c.
Answer:
Step-by-step explanation:
Use the formula for the cos of an angle:
\(cos\theta=\frac{adj}{hyp}\) where the adjacent side is the length of 4 and the hypotenuse is the "c" we are looking for. Setting up the equation:
\(.33=\frac{4}{hyp}\)
Solve that equation for hyp to get:
\(hyp=\frac{4}{.33}\)
Dividing that gives us that hyp (aka "c") = 12.121212...
c ≈ 12.12 (approximate value of side c in the right triangle).
Recall that in a right triangle, the cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
In this case, cos B = 0.33.
We are given the length of the adjacent side, a, which is 4 units.
Use the equation cos B = a/c and rearrange it to solve for c:
cos B = a/c
Multiply both sides by c: c * cos B = a
Divide both sides by cos B: c = a / cos B
Substitute the values we have: c = 4 / 0.33.
Calculate the value of c using a calculator or by performing the division:
c ≈ 12.12.
Therefore, the length of side c in the right triangle is approximately 12.12 units.
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someone help me out plzzzzz
Answer: 56%, 22%, 4%, 18%
Step-by-step explanation: Add the numbers up to get 100 and each number out of 100 is that percentage.
HELP PLEASE NEED IT THANKS
Answer:
<
Step-by-step explanation:
1) Substitute 5 into the question
\(\frac{4(5)}{4}\)\(2(5)-3\)2) Work out the sides
\(\frac{4(5)}{4} =5\)\(2(5)-3=7\)3) Put it into an inequality
5 < 7
Hope this helps, have a great day!
y
4
Solve for y.
Then, find the side lengths of the
largest triangle.
Fill in the green blank.
8
X
2
+
2
8
y
y
[?]
X
Enter
Help
Skip
Answer:
y = 4\(\sqrt{5}\) , ? = 10
Step-by-step explanation:
using Pythagoras' identity on the smallest right triangle
x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )
x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)
using Pythagoras' identity on the middle right triangle
y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )
y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)
using Pythagoras' identity on the largest right triangle
?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100
Take square root of both sides
? = \(\sqrt{100}\) = 10
joe mixed 10 ozs of blue paint with 4 oz of white paint. he wants to make a batch using 18 oz of white paint, how much blue paint should he use?
explanation would be nice!!
Answer:
45oz
Step-by-step explanation:
We can find the ratio of white to blue paint he needs by dividing.
10 / 4 = 2.5oz of blue paint for every ounce of white paint
Now, we can multiply to find how much blue paint he needs.
18 * 2.5 = 45oz
Best of Luck!
16 Answer:
For what values of the variable x is the rational
expression undefined: 3/(x - 5)
17 Answer:
For what values of the variable x is the rational
expression undefined: 8/(x + 2)
Answer:
16. The rational expression 3/(x-5) is undefined when x equals 5.
17. The rational expression 8/(x+2) is undefined when x equals -2.
Step-by-step explanation:
16.
The rational expression 3/(x-5) is undefined when the denominator (x-5) is equal to zero, because division by zero is undefined. Therefore, we need to find the values of x that make the denominator zero.
To find those values, we can set the denominator equal to zero and solve for x:
x - 5 = 0
x = 5
Therefore, the rational expression 3/(x-5) is undefined when x equals 5.
17.
The rational expression 8/(x+2) is undefined when the denominator (x+2) is equal to zero, because division by zero is undefined. Therefore, we need to find the values of x that make the denominator zero.
To find those values, we can set the denominator equal to zero and solve for x:
x + 2 = 0
x = -2
Therefore, the rational expression 8/(x+2) is undefined when x equals -2.
Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have
side lengths 1 cm?
Add the lengths of the horizontal and vertical segments, and then subtract 5 because the diagonal side is 4 units
wide and 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then subtract 3 because the diagonal side is 4 units
wide but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 3 because the diagonal side is 4 units wide
but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide
and 2 units tall.
The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;
Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
What is an estimate of an amount?An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.
Please find attached a diagram of the possible figure created with MS Word
The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;
Base length = 5 units
Height = 4 units
The figure has a diagonal side which is 4 units wide and 2 units tall.
The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5
The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
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Brad wants to buy flowers for his friend
with $33. The daisies are $1 each and
the roses are $2 each. He buys 3 more daisies than roses.
how much did the roses cost?
Answer:
20
Step-by-step explanation:
Answer:
20$ For the Roses
Step-by-step explanation:
Think about it like this. For each daisy (1$), the price is double for roses (2$).
Brad has a limit of 33$. And he bought 3 more daisies than roses.
If each daisy is 1$, and he bought 3+ over roses, take away 3$ to get 30$. If he bought 10 (excluding 3+) Daisies, He must have bought 10 roses.
(10 Daisies = 10$) + (10 Roses = 20$) = 30$
30$ + (3 Daisies = 3$) = 33$
Select all of the following tables which represent y as a function of and are one-to-
one.
Answer:
Option 3
Step-by-step explanation:
Each value of x maps onto one value of y and vice versa.
Round to the nearest thousands 34,385
need help
Answer:34,000
Step-by-step explanation:
Answer:
its 34,000 because it below 5
Step-by-step explanation:
brainliest please
Find the value of X in the diagram. (See below)
1. 25
2. 10
3. 180
4. 50
Answer:
17
Step-by-step explanation:
STUDY HARD GUYS I NEED HW HELP
A man bought 20 apples at $2 each andsold them to make a total profit of $8.
What was the total cost of the apples purchased ?
What was the selling price of the 20 apples?
What was his percent profit made?
a bag with 2/3 pounds of peanuts can make 1/8 pounds of peanut butter how many pounds of peanuts would be needed to make one pound of peanut butter for middle school
The required pounds of peanut that can make one pound of peanut butter is given as 5 1/3
How to solve for the quantityIf 2/3 pounds of peanut = 1/8 pounds of peanut butter
? quantity of peanut = one pound of peanut butter
This would be better expressed in numbers as
2/3 = 1/8
? = 1
To solve for this , we would have to cross multiply
such that we would have
2/3 = 1/8?
to get the unknown, we have to divide through by 1/8
2/3 ÷ 1/8 = unknown
2/3 x 8/1
= 16/3
= 5 1/3
Hence the required pound that would be needed to make the peanut butter is given as 5 1/3
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Can someone please answer this for me I’ll love you forever please ASAP
Answer:
17
Step-by-step explanation:
Using the distributive property, we can rearrange the expression into this:
-4^2+-4+5
Which when expanding, is:
16+-4+5, which gives 17.
Listed below is a table showing the number of employees. 20 years or older by gender in the United states
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
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The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
50 Points! Multiple choice algebra question. Photo attached. Which represents the correct synthetic division of (x^2-4x+7) divided by (x-2)? Thank you!
Option D is the correct synthetic division of (x^2-4x+7) divided by (x-2)
What is the synthetic division?Synthetic division is a shorthand procedure used to divide a polynomial by a linear factor of (x - a) form, in which "a" is constant. This method gives an expedient way to locate the quotient and remainder without carrying out long division.
x - 2 | x^2 - 4x + 7
x^2 - 2x
---------
-2x + 7
-2x + 4
-------
3
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Complete the expression so that it is equivalent to 2 (x+6)
The complete expression is (2 × x) + (2 × 6). This is an equivalent expression to the given expression.
What is an expression?
A number, a variable, or a combination of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.
Given expression is
2 (x+6)
Distributive property: The same outcome is obtained by multiplying the sum of two or more addends by a number as it is by multiplying each addend by the number separately and combining the resulting products.
The mathematical representation is a(b+c) = ab + ac.
Apply the Distributive property in the given expression:
(2×x) + (2×6)
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Hotel rooms in Smalltown are $100/ room per day,
The tax revenue is $ 9000 and Deadweight loss is $500.
We have,
Hotel rooms in Smalltown go for $100, and 1,000 rooms are rented on a typical day.
So, The tax revenue is calculated by :
Tax revenue = Tax Imposed × Quantity sold
= 10 x 900
= $ 9000
Now, The deadweight loss is calculated as:
= 1/2 × Tax imposed × change in quantity sold
= 1/2 x 10 x (1000-900)
= $500
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Two shapes with equal perimeter are pictured below.
What is the measure, in units, of CD¯¯¯¯¯¯¯¯?
Answer:
5
Step-by-step explanation:
did test give 5 star and thanks.
10 km = ? M ???? Pls help
Answer:
10000 meters
Step-by-step explanation:
10 km is 10000 meters
This is just a question I had.
If Denny (random name) left to another country and he left the Tuesday of this week (June 20) and he left for a month, what day would he be back on? I though July 18 but I’m not sure. Pls help?
Answer:
Step-by-step explanation:
Well, since the length of a month can vary in the number of days, this answer can also vary.
For example, February is only 28 days long, while December is 31 days long.
That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back July 19th of July 20th.
I hope this helps!
What is 19 less than 2 times a number is 7 more than half of the number written as a equation?
Answer:
2x - 19 = 1/2x + 7
Step-by-step explanation:
The mean of the data set is 4. Find the absolute deviation of each of the red data values
The absolute deviation of 0 is
The absolute deviation of 3 is
The absolute deviation of 7 is
The absolute deviation of each of the data values are 4, 1 and 3 respectively.
Absolute deviationThe absolute deviatuon gives the distance of any given value in a dataset to the mean value. The absolute deviation is always positive as it does not consider the side to which the value belongs.
Absolute deviation = |value - mean|
Mean = 4
Absolute deviation of 0 = |0 - 4| = 4
Absolute deviation of 3 = |3 - 4| = 1
Absolute deviation of 7 = |7 - 4| = 3
Hence, The absolute deviation of each of the data values are 4, 1 and 3 respectively.
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