Answer:
there is no solution
Step-by-step explanation:
x + y = 6 → (1)
x + y = 4 → (2)
subtract (2) from (1) term by term
(x - x) + (y - y) = 6 - 4
0 + 0 = 2
0 = 2 ← false statement
this false statement indicates the equations have no solution
Brooke found the equation of the line passing through the points (–7, 25) and (–4, 13) in slope-intercept form as follows.
Step 1: m = StartFraction 13 minus 25 Over negative 4 minus (negative 7) EndFraction = StartFraction negative 12 Over 3 EndFraction = negative 4. Step 2: y = negative 4 x + b. 25 = negative 4 (negative 7) + b. 25 = 28 + b. 25 minus 28 = 28 + b minus 28. b = negative 3. Step 3: y = negative 3 x minus 4
What was Brooke’s error?
She found the incorrect slope in step 1.
She mixed up the x- and y-coordinates when she plugged in the point in step 2.
She found the incorrect y-intercept in step 2.
She mixed up the slope and y-intercept when she wrote the equation in step 3
Answer:
she mixed up the slope and y- intercept in step 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
she correctly calculated the slope as m = - 4 and the y- intercept b = - 3
thus equation she should have is
y = - 4x - 3
Brooke's error was that she found the incorrect slope in step 1.
The slope formula is: m = (y₂ - y₁) / (x₂ - x₁)
Using the given points: m = (13 - 25) / (-4 - (-7)) m = -12 / 3 m = -4
So, the slope is -4, not -12/3 as Brooke calculated in step 1.
The correct equation for the line passing through the points (-7, 25) and (-4, 13) is: y = -4x - 3 (as found in step 3)
WHOEVER CAN ANSWER 50 POINTS IF U CAN SOLVE IT PLEASE IM DESPERATE
Answer:
First, the graph is overall decreasing with two local maximums and two local minimums.
Second, it has 5 zeros, since there is one intersection and two touching points with the x-axis.
Considering the above observations we can state that:
The degree of f(x) is odd;The leading coefficient is negative;There are 5 distinct zeros;There are 2 relative maximum values.Part A: solve the equation---
5+x-12=2x-7
x-7=2x-7
x-7+7=2x-7+7
x=2x
x-2x=2x-2x
-x=0
--- ---
-1 -1
x=0
--
-1
x=0
but i have to use the values x= -4,0,5. can some one please help me? i'm am so confused!!!
Answer:
Step-by-step explanation:
I understand your confusion. Let's go through the steps together to solve the equation correctly:
Given equation: 5 + x - 12 = 2x - 7
Combine like terms on the left side and the right side of the equation:
x - 7 = 2x - 7
Now, let's isolate the variable x. Subtract x from both sides of the equation:
x - x - 7 = 2x - x - 7
Simplifying:
-7 = x - 7
Next, add 7 to both sides of the equation:
-7 + 7 = x - 7 + 7
Simplifying:
0 = x
Therefore, the solution to the equation is x = 0.
If you need to use the values x = -4, 0, and 5, you can substitute each value into the original equation to check if it satisfies the equation. Let's do that:
For x = -4:
5 + (-4) - 12 = 2(-4) - 7
-11 = -15 - 7
-11 = -22
The equation is not satisfied for x = -4.
For x = 0:
5 + 0 - 12 = 2(0) - 7
-7 = -7
The equation is satisfied for x = 0.
For x = 5:
5 + 5 - 12 = 2(5) - 7
-2 = 3
The equation is not satisfied for x = 5.
Therefore, the correct solution to the equation is x = 0. The values x = -4 and x = 5 do not satisfy the equation.
The overnight temperature drops from 11°C to -2°C. B how many degrees has the temperature dropped?
Answer: I'm pretty sure it's 13.
Step-by-step explanation: Hope this helped!!
Cecilia se compra un libro con la cuarta parte de su dinero y un cómic con la mitad del dinero que le quedaba. Al salir de la librería se da cuenta que le sobraron $8. ¿Cuál es la ecuación para conocer la cantidad de dinero que tenía en un inicio?
The equation to determine the initial amount of money Cecilia had is x = 0.
Let's denote the initial amount of money Cecilia had as "x" dollars.
According to the given information, Cecilia spent one-fourth (1/4) of her money on a book, which is (1/4)x dollars. After buying the book, she had (x - (1/4)x) dollars left.
Next, Cecilia spent half (1/2) of the remaining money on a comic, which is ((1/2)x - 8) dollars. After buying the comic, she had ((x - (1/4)x) - ((1/2)x - 8)) dollars remaining.
Since she had $8 left, we can set up the equation:
((x - (1/4)x) - ((1/2)x - 8)) = 8
To simplify the equation, we can first combine like terms:
(x - (1/4)x - (1/2)x + 8) = 8
Now, let's solve the equation step by step:
(x - (1/4)x - (1/2)x + 8) = 8
Multiplying the fractions by their common denominator, which is 4, we get:
(4x - x - 2x + 32) = 32
Simplifying further:
(x + 32) = 32
Subtracting 32 from both sides:
x = 0
Therefore, the equation to determine the initial amount of money Cecilia had is x = 0.
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HELP PLEASEEE!!
Drake predicted that he would be able to make 16 more pancakes with the remainder of his mix. however, he only made 10 pancakes. What was Drake's percent error?
Answer:
60%
Step-by-step explanation:
To find percent error, use the following equation:
Percent error = [tex]\frac{prediction-actual}{actual}[/tex]×100
=[tex]\frac{16-10}{10}[/tex]
=[tex]\frac{6}{10}[/tex]×100
=0.6×100
Drake's percent error is 60%.
Cara used the order of operations to evaluate the expression below. StartFraction 4 (7 minus 13) over 3 EndFraction + (negative 4) squared minus 2 (6 minus 2) = StartFraction 28 minus 13 over 3 EndFraction + (negative 4) squared minus 2 (4) = StartFraction 15 over 3 EndFraction + 16 minus 18 = 5 + 16 minus 8 = 13. What was Cara’s first error?
Cara's first error occurred when she simplified the expression (negative 4) squared.
According to the order of operations (PEMDAS/BODMAS), exponentiation should be performed before any other operations. However, Cara incorrectly squared only the negative sign and not the entire number.
As a result, she obtained a value of positive 4 instead of 16.
To correct the error, Cara should have squared the entire value of -4. Squaring a negative number yields a positive result. Thus, (-4) squared is equal to 16. By failing to correctly apply this rule, Cara ended up with an incorrect value in her expression.
The correct evaluation of the expression should have been:
StartFraction 4 (7 minus 13) over 3 EndFraction + (negative 4) squared minus 2 (6 minus 2) = StartFraction 4 (-6) over 3 EndFraction + 16 minus 2 (4) = -8 + 16 - 8 = 0.
Therefore, Cara's first error was in incorrectly squaring only the negative sign and obtaining a value of 4 instead of 16.
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Whats the answer to this?
Answer: [tex]x=200[/tex]
Step-by-step explanation:
[tex]\frac{1}{5}x-\frac{2}{3}y=30[/tex]
[tex]\frac{1}{5}x-\frac{2}{3}(15)=30[/tex]
[tex]\frac{1}{5}x-10=30[/tex]
[tex]\frac{1}{5}x=40[/tex]
[tex]x=\frac{40}{\frac{1}{5}}[/tex]
[tex]x=40*\frac{5}{1}[/tex]
[tex]x=200[/tex]
Brittany invests $1000 into a savings account with an annual simple interest rate of 3%. Her bank charges no annual fees. How much will Suzy have after 5 years? Show your work.
Answer:
$150
Step-by-step explanation:
Original Savings (Year 0): $1,000
Convert Interest rate into a decimal: 3 / 100 = 0.03
therefore the interest rate is 1.03
How much will be added each year?
$1,000 x 1.03 = $1,030--> $30this shows that $30 dollars will be added per year, the interest is a simple rate and so it will not increase per year.5 years = $30 x 5 = $150
Final sum: $1,000 x $150 = $1,150
Suzy will have $1,150 in her account at the end of a five year period.
Indefinite Integral for the equation
The antiderivative of ∫[[tex]x^\frac{1}{11}[/tex] - 7sin(x)]dx is:
[tex](11/12)x^\frac{12}{11} - 7cos(x) + C[/tex]
What is the indefinite integral?The indefinite integral, denoted as ∫f(x)dx, represents the antiderivative of a function f(x). It involves finding a function whose derivative is equal to the given function f(x).
Let's evaluate the indefinite integral of [tex]\int [x^\frac{1}{11} - 7sin(x)]dx[/tex]
To find the antiderivative of [tex]x^\frac{1}{11}[/tex], we add 1 to the exponent and divide by the new exponent:
[tex]\int x^\frac{1}{11} dx = (11/12)x^\frac{12}{11} + C_1[/tex], where C₁ is the constant of integration.
∫7sin(x)dx:
To find the antiderivative of 7sin(x), we use the trigonometric identity that the antiderivative of sin(x) is -cos(x):
∫7sin(x)dx = -7cos(x) + C₂, where C₂ is another constant of integration.
Combining the two results, the indefinite integral of [tex]\int[x^\frac{1}{11} - 7sin(x)]dx[/tex] is:
[tex](11/12)x^\frac{12}{11} - 7cos(x) + C[/tex],
where C = C₁ + C₂ represents the constant of integration.
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71)
Mia buys 4 calculators and 2 pens for $20.60
Heidi buys 5 calculators and 3 pens for $26.90.
Write down a pair of simultaneous equations and solve
cost of a pen.
Answer:
Therefore, the cost of a pen is $2.30.
Step-by-step explanation:
Let's assign variables to represent the cost of a calculator and the cost of a pen.
Let c represent the cost of a calculator.
Let p represent the cost of a pen.
Based on the given information, we can form the following pair of simultaneous equations:
Equation 1: 4c + 2p = 20.60 (Mia buys 4 calculators and 2 pens for $20.60)
Equation 2: 5c + 3p = 26.90 (Heidi buys 5 calculators and 3 pens for $26.90)
To solve for the cost of a pen, we'll eliminate the variable c by multiplying Equation 1 by 5 and Equation 2 by 4. Then we'll subtract Equation 1 from Equation 2:
5 * (4c + 2p) = 5 * 20.60
4 * (5c + 3p) = 4 * 26.90
20c + 10p = 103.00
20c + 12p = 107.60
Subtracting Equation 1 from Equation 2:
(20c + 12p) - (20c + 10p) = 107.60 - 103.00
20c - 20c + 12p - 10p = 4.60
2p = 4.60
p = 4.60 / 2
p = 2.30
Therefore, the cost of a pen is $2.30.
Answer:
Let's assume that the cost of a calculator is x and the cost of a pen is y. Then we can write the following pair of equations:
4x + 2y = 20.60 (equation 1)
5x + 3y = 26.90 (equation 2)
To solve for the cost of a pen, we need to eliminate x from the equations. We can do this by multiplying equation 1 by 5 and equation 2 by -4, and then adding them:
(5)(4x + 2y = 20.60) becomes 20x + 10y = 103 (equation 3)
(-4)(5x + 3y = 26.90) becomes -20x - 12y = -107.60 (equation 4)
Adding Equation 3 and Equation 4 gives:
-2y = -4.60
Divide both sides by -2:
y = 2.30
Therefore, the cost of a pen is $2.30.
Step-by-step explanation:
MARK ME BRAINLIST
The cost of 2.5 litres of petrol in the United Kingdom is £1.70. The cost of 1 US gallon of petrol in the United States is $3.30. £1 = $1.42 1 litre = 0.26 US gallons Is petrol cheaper in the United Kingdom or United States?
The cost of 2.5 liters of petrol in the United Kingdom is £1.70. The cost of 1 US gallon of petrol in the United States is $3.30. £1 = $1.42 and 1 liter = 0.26 US gallons. So, is petrol cheaper in the United Kingdom or the United States.
Let's find out the cost of 2.5 liters of petrol in the United States dollars;Cost of 1 litre of petrol in the United Kingdom = £1.70/2.5 = £0.68Cost of 1 liter of petrol in the United States = $3.30/3.78 (as 1 US gallon = 3.78 liters) = $0.87We know that £1 = $1.42£0.68 = $0.68 x 1.42 = $0.96So, the cost of 1 liter of petrol in the United Kingdom is $0.96 (approximately)The cost of 1 liter of petrol in the United States is $0.87 (approximately)
Therefore, petrol is cheaper in the United States than the United Kingdom.
So, the answer is that petrol is cheaper in the United States than in the United Kingdom.
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GEOMETRY 50POINTS
FIND THE ANGLE OD DEPRESSION OF THE SLOPE
TYSM
Answer:
23.6°
Step-by-step explanation:
The angle of depression, x, is congruent to the bottom right angle of the triangle.
sin x = opp/hyp
sin x = 100/250 = 0.4
x = sin^-1 0.4
x = 23.6°
A solid oblique pyramid has a triangular base with a length of 8 inches and a height of 6 inches. The slant height of each triangular face is 10 inches. What is the volume of this pyramid?
a) 160 cubic inches
b) 200 cubic inches
c) 240 cubic inches
d) 280 cubic inches
The correct value of volume of the pyramid is 48 cubic inches.
To find the volume of the solid oblique pyramid, we can use the formula V = (1/3) * Base Area * Height. The base of the pyramid is a triangle, and the height is given as 6 inches.The formula for the area of a triangle is (1/2) * base * height. In this case, the base length is 8 inches and the height is 6 inches. Base Area = (1/2) * 8 * 6 = 24 square inches
Now, we can calculate the volume of the pyramid:
V = (1/3) * Base Area * Height
V = (1/3) * 24 * 6
V = 48 cubic inches
Therefore, the volume of the pyramid is 48 cubic inches.
None of the provided options (a, b, c, d) match the calculated volume of 48 cubic inches. Please double-check the given options or provide the correct options for further comparison.
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Mia makes $15.50 per hour. For the Memorial holiday she worked 6 hours and 30 minutes on Friday. On Saturday, she worked for 1 hour and 10 minutes less than she did on Friday and on Monday she worked 4 hours and 10 minutes. How much money did Mia make for the Memorial holiday?
Answer:
$248.00
Step-by-step explanation:
Hours worked on Friday: 6 hr and 30 min = 6.5 hr
Money earned on Friday: $15.5/hr x 6.5 hr = $100.75
Hours worked on Saturday: 6.5 hr - 1.167 hr = 5.33 *10 min = 10/60 = 0.1667 hr
Money earned on Saturday: $15.50 x 5.33 hr = $82.67
Hours worked on Monday: 4.167 hr
Money earned on Monday: $15.50/hr x 4.167 hr = $64.58
Total money made: 100.75 + 82.67 + 64.58 = $248.00
PLEASE HELP
4920+56+pi
in this chart, × is the length of a persons forearm in centimeters and y is the persons height in centimeters. the question is if someones forearm (x) is 24.5 cm, how tall would they be? how do i find this? and how would i make a linear regression graph? thanks
The height of a person whose length of forearm is 24.5 cm is equal to 163.38 centimeters.
How to construct and plot the data in a scatter plot?In this exercise, we would plot the length of forearm on the x-axis of a scatter plot while height would be plotted on the y-axis of the scatter plot through the use of Microsoft Excel.
On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display a linear equation for the line of best fit on the scatter plot;
y = 3.01x + 89.63
Based on the equation of the line of best fit above, the height of a person whose length of forearm is 24.5 cm can be determined as follows;
y = 3.01x + 89.63
y = 3.01(24.5) + 89.63
y = 163.375 ≈ 163.38 centimeters.
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Pregunta 1
Resuelve el siguiente problema aplicando las estrategias de solución de problemas.
• El área de un triángulo es de 30 pies cuadrados y la base mide 5 pies. ¿Cuál es la
altura del triángulo en pulgadas?
Answer:
I can't understand the language but try people who can
The slope of line BD is
y
2b
2a-c
E(a, b)
A(0, 0)
G
B(2a, 2b)
D(c, 0)
F
LL
C(2c, 0)
What is the equation of BD, simplified?
y - y₁ = m(x − x₁)
(x-c)
= √2²²= c)
2b
2a -
y -0 =
0 y = | D x - (₂22bcc)
b
C
1
2a -
0 y =
0 y = | 2²0 |x-12 2²0-c
2a
2a C
0 y = ( 2b )x - ( 2bc)
(2a-c) (2a - 2c)
Answer:
(c) y = 2b/(2a -c)x -2bc/(2a -c)
Step-by-step explanation:
Given the equation of line BD in point-slope form you want the simplified equation.
y -0 = (2b/(2a -c))(x -c)
SimplifiedThe equation is simplified by using the distributive property to eliminate parentheses.
[tex]y-0=\dfrac{2b}{2a-c}(x -c)\\\\\\y=\dfrac{2b}{2a-c}x-\dfrac{2b}{2a-c}c\\\\\\\boxed{y=\dfrac{2b}{2a-c}x-\dfrac{2bc}{2a-c}}\qquad\text{matches choice C}[/tex]
<95141404393>
PLEASE HELP
Suppose that the functions fand g are defined for all real numbers x as follows.
f(x) = 5x
g(x)=4x-4
Write the expressions for (g.f)(x) and (g-f)(x) and evaluate (g+f)(2).
(g•f)(x) =
(g-f)(x) =
(g+r) (2)=
The lines shown below are parallel. if the green line has a slope of 3 what is the slope of the red line?
Answer:
3
Step-by-step explanation:
parallel lines have the same gradient
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer:
B. Lenghts of the diagonals
Step-by-step explanation:
On January 1, 2022, ABC Company was established (trading firm engaged in buying and selling of laptop computers ), with an initial owner’s equity of P1,000,000. The company has an inventory 10 laptops each costing P50,000. In addition, it purchased a delivery equipment amounting to P250,000 (five years depreciation, straight line). The rest of the assets were in the form of cash.
At the end of 2022, operations showed that 5 laptops were sold at P50,000 each, 50% cash, 50% to be received in March of P2022. Aside from depreciation, a total of P50,000 (paid in cash) was incurred as operating expenses. Taxes are 50% of operating income to be paid in the same year of operations, if there are any. (Tax will not be deducted if there is an operating loss).
Construct the following :
a.) Balance sheet as of January 1, 2022 and December 31, 2022.
b.) Income Statement for the year ended Dec. 31, 2022 .
c.) Statement of Cash Flows for the year ended Dec. 31, 2022.
a) Balance Sheet as of January 1, 2022: Total Assets: P1,750,000
b) Income Statement for the year ended December 31, 2022: Net Income: Operating Income - Tax Expense
c) Statement of Cash Flows for the year ended December 31, 2022: None (Assuming no financing activities are mentioned in the information)
a) Balance Sheet as of January 1, 2022:
Assets:
Cash: P1,000,000
Inventory (10 laptops * P50,000): P500,000
Delivery Equipment (less depreciation): P250,000
Total Assets: P1,750,000
Liabilities:
None (Assuming no liabilities are mentioned in the given information)
Owner's Equity: P1,750,000
Balance Sheet as of December 31, 2022:
Assets:
Cash: (Assuming no cash transactions are mentioned in the information)
Accounts Receivable (50% of P50,000): P25,000
Inventory (5 laptops * P50,000): P250,000
Delivery Equipment (less depreciation): P200,000
Total Assets: P475,000
Liabilities:
Accounts Payable (50% of P50,000): P25,000
Income Tax Payable: (50% of Operating Income)
Total Liabilities: P25,000 + Income Tax Payable
Owner's Equity: (Initial Owner's Equity + Net Income)
b) Income Statement for the year ended December 31, 2022:
Sales Revenue: 5 laptops * P50,000 = P250,000
Operating Expenses: P50,000
Operating Income: Sales Revenue - Operating Expenses
Tax Expense: (50% of Operating Income)
Net Income: Operating Income - Tax Expense
c) Statement of Cash Flows for the year ended December 31, 2022:
Cash Flows from Operating Activities:
Cash received from sales: (50% of P250,000)
Cash paid for operating expenses: P50,000
Tax payments: (50% of Tax Expense)
Cash Flows from Investing Activities:
Purchase of delivery equipment: P250,000
Cash Flows from Financing Activities:
None (Assuming no financing activities are mentioned in the information)
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Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
Need Help
Answer: -27
Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
We can start by looking at the differences between consecutive terms in the list:
9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12
Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:
-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21
Therefore, we predict that the most probable next number in the list is -27.
Which of the following is the graph of y=-(x-2)³-5?
-5-4-3-2-1
-5-4-3
S
-2+
-3
? 4
-4
-5
997
-6
-7
-8.
-9
& co
-10
1 2 3 45 x
1
2345
X
Answer:
Step-by-step explanation:
I cannot see the graphs.
What is the volume of this
figure?
A 774 cm³
B 3,546 cm³
C 843 cm3
D 2,250 cm³
Hello!
V
= (18cm * 15cm * 6cm) + ((13cm - 6cm) * 15cm * 6cm)
= 1,620cm³ + 630cm³
= 2,250cm³
What is the solution for t in the equation?
2/3t-1/5t=2
Answer:
Step-by-step explanation:
To solve the equation (2/3)t - (1/5)t = 2 for t, we need to combine like terms and isolate the variable t. Here are the steps:
(2/3)t - (1/5)t = 2
To combine the fractions, we need to find a common denominator for 3 and 5, which is 15.
[(2/3)(5/5)]t - [(1/5)(3/3)]t = 2
(10/15)t - (3/15)t = 2
[(10 - 3)/15]t = 2
(7/15)t = 2
To isolate t, we can multiply both sides of the equation by the reciprocal of (7/15), which is (15/7).
[(7/15)t][(15/7)] = 2[(15/7)]
t = (2 * 15) / 7
t = 30/7
Therefore, the solution for t in the equation (2/3)t - (1/5)t = 2 is t = 30/7 or t ≈ 4.286.
Please i give 25 points
The values in the table represent a function.
x
-6
7
4
3
-5
f(x)
8
3
-5
-2
12
Use the drop-down menus to complete the
statements.
The ordered pair given in the first row of the table can
be written using function notation as
(3) is
f(x)=-5 when x is
Done
The ordered pair given in the first row of the table can be written using function notation as (x, f(x)) = (-6, 8).
f(x) = -5 when x is 4.
In function notation, we represent the input value as 'x' and the corresponding output value as 'f(x)'.
Looking at the first row of the table, we see that when x is -6, the corresponding value of f(x) is 8.
Therefore, we can write this ordered pair as (-6, 8) in function notation.
Similarly, we can determine that f(x) = -5 when x is 4 by examining the second row of the table.
The value of f(x) is -5 when x is 4, so we can express it as f(4) = -5.
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One more question thank you
Answer:
Step-by-step explanation:
n=30
r=12
Plug into formula
you get:
1.7 in²
