Answer:
x = -1
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
5x - (x + 4) + 1 = 3 - 2(x + 6)
Step 2: Solve for x
Distribute: 5x - x - 4 + 1 = 3 - 2x - 12Combine like terms: 4x - 3 = -2x - 9Add 2x on both sides: 6x - 3 = -9Add 3 to both sides: 6x = -6Divide both sides by 6: x = -1Step 3: Check
Plug in x to verify it's a solution.
Substitute: 5(-1) - (-1 + 4) + 1 = 3 - 2(-1 + 6)Parenthesis (Add): 5(-1) - 3 + 1 = 3 - 2(5)Multiply: -5 - 3 + 1 = 3 - 10Subtract: -8 + 1 = -7Add: -7 = -7Use the remainder theorem to determine the remainder. Then use the remainder to determine if the binomial is the factor of a polynomial. f(x) = x^3 + x^2 - 66x + 54 is divided by x + 9.
a. Remainder: 0; not a factor
b. Remainder: 0; yes a factor
c. Remainder: 270; not a factor
d. Reaminder:270; yes a factor
Answer:
b
Step-by-step explanation:
f(x) = x³ + x² - 66x + 54
= (x² - 8x + 6)(x + 9) + 0
=> the answer is b
Answer:
b
Step-by-step explanation:
If (x + h) is a divisor of f(x) then f(- h) = remainder
If f(- h) = 0 then (x + h) is a factor of f(x)
Here divisor is (x + 9) , then
f(- 9) = (- 9)³ + (- 9)² - 66(- 9) + 54
= - 729 + 81 + 594 + 54
= 0
Thus remainder is 0 and (x + 9) is a factor of f(x)
Which statement is true about f(x) = -2/3|x+4|-6?
O The graph of f(x) has a vertex of (-4, 6).
O The graph of f(x) is a horizontal stretch of the graph of the parent function.
O The graph of f(x) opens upward.
O The graph of f(x) has a domain of x 5-6.
b. the graph of f(x) is a horizontal stretch of the graph of the parent function.
The True statement is
The graph of f(x) is a horizontal stretch of the graph of the parent function.
What is Function?In mathematics, a function is an expression, rule, or law that establishes a relationship between an independent variable and a dependant one (the dependent variable).
We have,
f(x) = -2/3 |x+4| - 6
So, -2/3 |x+4| - 6 = 0
-2/3 |x+4| = 6
|x+4| = -9
so, the vertex is not (-4, 6).
Here the -6 in the function shows the horizontal stretch.
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Suppose y varies directly as x Write a direct variation
equation that relates x and y. Then solve.
if y=15 when x=2, find y when x=8
Answer:
y=7.5x, y=60
Step-by-step explanation:
you have to consider x as the input and y as output
when input x=2 the output y=15 so it grew by 7.5 so we can say that y= 2*7.5
in general the equation is y= 7.5*x
when x=8 we will have y=7.5*8=60
What is the zero of this radical function? x = -4 x = -2 x = 2 x = 4
Answer:
x = -4
Step-by-step explanation:
Answer: -4 is correct
Step-by-step explanation:
serious answers only pls n ty!
Which graph represents the solutions to this equation?
x2 + 8x = -20
solve the inequality for 1x + 2 > 10
Answer:
x>8
Step-by-step explanation:
Hope that helps you!!
X Co. Sold a Building which cost $400,000 for $450,000. The accumulated depreciation taken on the building at the time of disposal was $300,000. Complete the journal entry to record the gain or loss on the sale.
Answer:
Following are the solution to this question:
Step-by-step explanation:
Please find the complete question in the attached file.
Account Title Dr. Amount Cr. Amount
Money [tex]\$ \ 4,50,000[/tex]
Depreciation Accumulated [tex]\$ \ 3,00,000[/tex]
Profit from its sale of development [tex]\$ \ 3,50,000[/tex]
The Building [tex]\$\ 4,00,000[/tex]
(Being sold and registered as a building)
A house is purchased for $300,000 and its value appreciates by 2.75% per year.In how many years will the house be worth $375,000?
Answer:
In 9.09 years
Step-by-step explanation:
In about 9 years, the house would be worth $375,000.
An exponential growth is in the form:
y = abˣ;
where y, x are variables, a is the initial value of y and b is > 1
Let y represent the price of the house after x years.
Since it has a value of $300000 initially, hence a = $300000. Also it appreciates by 2.75% per year, hence b = 100% + 2.75% = 1.0275. Hence:
y = 300000(1.0275)ˣ
For the house to be worth $375,000:
375000 = 300000(1.0275)ˣ
1.25 = (1.0275)ˣ
xln(1.0275) = ln(1.25)
x = 8.2 years
In about 9 years, the house would be worth $375,000.
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Will give brianlyest pls help
Answer:
Help with what?
7x + 6 - 4x + 10=? fast that ima get grounded
Answer:
= 3x + 15
Step-by-step explanation:
7x + 6 - 4x + 10
= 3x + 15
Answer:
3x+16Step-by-step explanation:
7x+6-4x+10
= (7x-4x)+(6+10)
= 3x+16
answer this question for brainliest
Answer:
y = -7x + 26
I checked it on Desmos
965 divided by 31 is the question I need help with
Answer:
31.12
Step-by-step explanation:
Answer:31.129
Step-by-step explanation:
Help me solve this problem please
Answer:
A
Step-by-step explanation:
y=-3x
Because Y=-3x
My production line creates 3 different widgets. Widget A sells for $12. Widget B sells for $18. Widget C sells for $35. I made a total revenue of $1735 yesterday. I sold a total of 70 widgets. The number of C widgets sold is equal to the total number A and B sold. How many of each type of widgets did I sell?
9514 1404 393
Answer:
20 A widgets15 B widgets35 C widgetsStep-by-step explanation:
Half the widgets sold were $35 widgets, so the revenue from them was ...
(70/2)($35) = $1225
This means the remaining $1735 -1225 = $510 in revenue came from the sale of a total of 35 A and B widgets.
If we let 'b' represent the number of B widgets sold, then the revenue is ...
12(35 -b) + 18b = 510
6b +420 = 510
6b = 90
b = 15 . . . . . . . number of B widgets sold
35 -b = 20 . . . number of A widgets sold
20 A widgets, 15 B widgets, and 35 C widgets were sold.
__
Check
Total revenue was 20(12) +15(18) +35(35) = 240 +270 +1225 = 1735.
Total widgets were 20 +15 +35 = 70.
The total of A and B was 20 +15 = 35, the same as the number of C.
5(x-24)+2x+3. What is the answer to this?
Answer:
7x-117
Step-by-step explanation:
1. Distribute the 5 to the terms in parentheses.
5x-120+2x+3
2. Combine like terms.
7x-117
an object is moving at a speed of 4 feet per minute. Express this speed in miles per week. Round your answer to the nearest hundredth.
Answer:
7.64 miles/week
Step-by-step explanation:
recall the following conversions
1 mile = 5280 feet or 1 foot = 1 /5280 miles
also
1 week = 7 days = 7 x 24 hours = 7 x 24 x 60 = 10080 min
We are given 4 feet /min. We can apply the above conversions to this to get:
4 feet/min
= 4 feet/min x (1/5280) miles/foot
= (4/5280) miles / min
= (4/5280) miles/min x 10080 min/week
= (4/5280)(10080) miles/week
= 7.636363 miles/week
= 7.64 miles/week (nearest hundredth)
Help please, thank you
Answer:
Left you a little something to visualize the question
Write the equation of the line that passes through the points (8, -4) and (-2,5).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
The equation in the slope-intercept form will be:
Step-by-step explanation:
Given the points
(8, -4) and (-2, 5)The slope between two points
[tex]m=\frac{5-\left(-4\right)}{-2-8}[/tex]
[tex]m=-\frac{9}{10}[/tex]
As the point-slope form is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = -9/10 and (8, -4)
[tex]y-\left(-4\right)=-\frac{9}{10}\left(x-8\right)[/tex]
Writing the line equation in the slope-intercept form
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
so the equation in the slope-intercept form will be:
[tex]y-\left(-4\right)=-\frac{9}{10}\left(x-8\right)[/tex]
[tex]y+4=-\frac{9}{10}\left(x-8\right)[/tex]
subtract 4 from both sides
[tex]y+4-4=-\frac{9}{10}\left(x-8\right)-4[/tex]
[tex]y=-\frac{9}{10}x+\frac{16}{5}[/tex]
Therefore, the equation in the slope-intercept form will be:
[tex]y=-\frac{9}{10}x+\frac{16}{5}[/tex]
Will give brainlist. I need the area of this triangle.
Answer:
I believe it is 6 units
Step-by-step explanation:
Plug the base and height into the formula for a triangle.
Hope this helps, have a nice day!
Find the area of the sheet required to make closed cylindrical vessel of height 1 m and diameter 70 cm?
Answer:
The area of the sheet needed is 3m^2 approx.Step-by-step explanation:
Step one:
given
height h= 1m
diameter= 70cm= 0.7m
radius r= d/2= 0.7/2= 0.35m
The surface area or the total surface of a cylinder is equal to the sum of the base area times two and the area of the curved surface.
The formula is
T.S.A.=2πrh+2πr^2
Required is the T.S.A
Step two:
substitute our given data we have
T.S.A.=2*3.142*0.35*1+2*3.142*0.35^2
T.S.A.=2.199+0.769
T.S.A.=2.96m^2
T.S.A.=3m^2 approx.
Five times the second of three consecutive odd integers is thirteen less than three times the sum of the first and third integers. Find the largest odd number.
Answer: 15
Step-by-step explanation:
suppose; three consecutive odd integers are x; x + 2; x+ 4 (x is a odd integer)
because Five times the second of three consecutive odd integers is thirteen less than three times the sum of the first and third integers
=> 5(x + 2) = 3( x +x +4) - 13
<=> 5x + 10 = 6x + 12 - 13
<=>6x - 5x = 10 + 13 - 12
<=> x = 11
=> the largest odd number is 11 + 4 = 15
The largest of the three consecutive odd integers which could be written as a, a+2 and a + 4 is 15
Let the integers be : a, a + 2, a + 4
Creating a mathematical equation using the scenario given.
5(a + 2) = 3(a + (a + 4)) - 13
Open the bracket bracket
5a + 10 = 3(2a + 4) - 13
5a + 10 = 6a + 12 - 13
5a + 10 = 6a - 1
Collect like terms
5a - 6a = - 1 - 10
-a = - 11
a = 11
The largest integer = a + 4 ; 11 + 4 = 15
Therefore, the largest of the consecutive odd integers is 15
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Solve 2v2 – 22v + 60 = 0.
Question 6 options:
A)
v = 10, v = 12
B)
v = –10, v = –12
C)
v = –5, v = –6
D)
v = 5, v = 6
Answer:
D
Step-by-step explanation:
I took the test.
Need help ASAP!! Plz help me
A car uses 1 2/5 gallons of gasoline to travel 50 3/4 miles. How far can the car travel, in miles, on 1 gallon of gasoline?
Answer:
30 9/20
Step-by-step explanation:
(50 3/4)-((2/5) x (50 3/4)
=30.45
=30.45/1
=30.45/1 x 100/100
=3045/100
=3045÷5/100÷5
=30 9/20
30.45= 30 9/20
Hope this helps have a good day.
Answer:
your answer choices are here 4/145, 8/15, 36 1/4, or 71 1/20
Step-by-step explanation:
what is v=1/3Ah solving for A
Answer:
A=3V/h
That is the answer for solving for A
help me ill give branilyest
At store A, 3 pounds of apples cost $12.
At store B, the cost is given by y = 2x where y is the cost in dollars and x is the number of pounds of apples.
The cost of apples at store C is shown in the graph.
Answer the questions to find out which store's apples are the least expensive.
1. What is the unit price of apples at store A? Explain how you found this unit price.
Write your answer in the space below.
2. What is the unit price of apples at store B? How did you use the equation to find the unit price?
Write your answer in the space below.
3. What is the unit price of apples at store C? How did you use the graph to find the unit price?
Write your answer in the space below.
4. Which store has the lowest unit price for apples?
Write your answer in the space below.
Answer:
The unit price is the cost per unit of an item or the cost/price for each item.
1) 4$ per pound. By simplifying the proportion (constant ratio) between the cost, and the pounds of apples. 3 pounds of apples cost 12$ → 3/3 pounds of apples cost 12/3$ → 4 dollars for every pound.
2) 2$ per pound. By evaluating the rate of change (change in the y over x or dependent variable over independent) in the equation: y = 2x. y is the cost in dollars, and x is the pounds of apples. So there are 2 pounds (weight) of apples for every dollar.
3) 3$ per pound. Given a graph with a y scaled by 3, and an x scaled by 1 with a graph y = x or 1 unit up for every unit right. This must be equivalent to y = 3x. Where y is labeled as the cost in dollars, and x as the weight in pounds. So there are 3 dollars for every pound of apples.
4) Store B. Because 2 is less than 3 which is less than 4.
rationalise the denominator of (6+root3)(6-root3) over root33
Answer:
√33
Step-by-step explanation:
In the image .
The expression (6 + √3) (6 - √3) / √33 upon rationalizing the denominator gives √33.
What is Square Root?Square root of a number is the value such that upon multiplying the value by itself twice gives the original number.
The given expression is (6 + √3) (6 - √3) / √33
We have the identity,
(a + b) (a - b) = a² - b²
∴ (6 + √3) (6 - √3) / 33 = 6² - (√3)² / √33
= (36 - 3) / √33
= 33 /√33
Multiplying numerator and denominator by √33,
(6 + √3) (6 - √3) / 33 = (33 × √33) / (√33 × √33)
= 33√33 / 33
= √33
Hence upon rationalizing the denominator in the expression (6 + √3) (6 - √3) / 33 yields √33.
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Please help me i'm not very good at math :))
Answer: (1, 5)
Explanation:
You really just have to input all the variables into the inequality and see if it is accurate.
(2, 4)
4 > 2(2) 4 > 4 no, it is equal to, not greater than
4 > 3 yes
(0, 3)
3 > 2(0) 3 > 0 yes
3 > 3 no, again, equal to
(4, 6)
6 > 2(4) 6 > 8 no
6 > 3 yes
(1, 5)
5 > 2(1) 5 > 2 yes
5 > 3 yes
Quadrilateral WXYZ below has an interior angle sum of 360°.
Quadrilateral W X Y Z. Angle Z is 69 degrees, angle Y is 132 degrees, and angle X is 69 degrees. Angle W is unknown.
Which type of angle is Angle W?
right angle
acute angle
straight angle
obtuse angle
Answer:
the W is 90°, means it is a right angle
Step-by-step explanation:
add all numbers, then subtract the sum to 360 and you will get the answer
Answer:
the anwser is A
Step-by-step explanation:I got a 100% on my test
Linda was selling tickets to the school play. She sold 10 more adult tickets than children’s tickets and sold twice as many senior tickets as children’s tickets. If she sold 218 tickets, how many were adult tickets
Answer:
Totals can change but the pattern remains the same: Linda sold 40 Senior's Tickets, 30 Adult's Tickets, and 20 Children’s Tickets, for a total of 90 tickets sold.
Step-by-step explanation:
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
