Answer:
1/4x^2 + 7x + 49
Step-by-step explanation:
Use binomial theorem (a + b)^2 = a^2 + 2ab + b^2 to expand (1/2x + 7)^2
Please help me!! Il give u brainliest(:
Answer: f^-1(x)= 2-4x/3
This is because the power of f is -1
Answer:
A. Answer: f^-1(x)= 2-4x/3
Step-by-step explanation:
This is because the power of f is -1, all you would do is solve the 4x-2 divided by 3 to get the answer pls give brainiest thank you.
In Mr. Martins math class there are 15 students out of which 4 will be selected to receive a special award. How many combinations of students can be selected
Answer:
1365 combinations
Step-by-step explanation:
This is 15C4
= 15!/ (4!11!
= 15*14*13*12 / 4*3*2*1
= 32760/24
= 1365.
what will be the total number of pencils in 9 packages?
Answer:
9x
Step-by-step explanation:
9 packages and x pencils
9x
E is the midpoint of AB. If
AE = 4x +6 and EB = 10x - 12.
what is AB?
Answer:
AB = 36
Step-by-step explanation:
Since E is the midpoint of AB, then
AE = EB , substitute values
4x + 6 = 10x - 12 ( subtract 10x from both sides )
- 6x + 6 = - 12 ( subtract 6 from both sides )
- 6x = - 18 ( divide both sides by - 6 )
x = 3
Thus
AB = AE + EB = 4x + 6 + 10x - 12 = 14x - 6 = 14(3) - 6 = 42 - 6 = 36
Match the equations of the lines with their graphs.
y = 2x + 3
y = -2x + 3
y = 2x − 3
y = -2x − 3
pictures are in order on the sheet ill label them 1,2,3,4 so now you can answer which goes where to that.
Answer:
Step-by-step explanation:
1. y=2x-3
2. y=2x+3
3. y=-2x+3
4. y=-2x-3
The equations of the lines which goes with their graphs.
1. y=2x-3
2. y=2x+3
3. y=-2x+3
4. y=-2x-3
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have to points (1.5,0) and, (0,-3)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
=>3x-1.5y=4.5
y=2x-3
Again,
Here, we have to points (-1.5,0) and, (0,-3)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
=>3x+1.5y=-4.5
y=2x+3
Here, we have to points (1.5,0) and, (0,-3)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
=>-3x+1.5y=4.5
y=-2x+3
Here, we have to points (-1.5,0) and, (0,3)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
=>3x+1.5y=4.5
y=-2x-3
Hence, the required equations are,
1. y=2x-3
2. y=2x+3
3. y=-2x+3
4. y=-2x-3
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Solve for x, given the perimeter = 40 cm.
2x+1+x+4
I need fast please help me
Find the slope of the line drawn below
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (1, - 3)
m = [tex]\frac{-3-2}{1-1}[/tex] = [tex]\frac{-5}{0}[/tex]
Since division by zero is undefined then the slope of the line is undefined
What is an equation of the line that passes through the point (-4,3) and is
perpendicular to the line 4x - 5y = 20?
Answer:
5x + 4y = - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
4x - 5y = 20 ( subtract 4x from both sides )
- 5y = - 4x + 20 ( divide all terms by - 5 )
y = [tex]\frac{4}{5}[/tex] x - 4 ← in slope- intercept form
with slope m = [tex]\frac{4}{5}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex] , thus
y = - [tex]\frac{5}{4}[/tex] x + c ← is the partial equation
To find c substitute (- 4, 3) into the partial equation
3 = 5 + c ⇒ c = 3 - 5 = - 2
y = - [tex]\frac{5}{4}[/tex] x - 2 ← in slope- intercept form
Multiply through by 4
4y = - 5x - 8 ( add 5x to both sides )
5x + 4y = - 8 ← equation in standard form
what is the value of this
Answer:
I believe the value is equal to 8
Someone pls help????????????????????????????
Answer:
The answer is 32 square inches.
Step-by-step explanation:
A square has 4 sides, and each side is 8 square inches. So the area of an object if the space of it. That means 8 x 4 which is 32.
Have a nice day!
I NEED HELP ASAP!!!!!!!
Answer:
f(-3)= 15
Step-by-step explanation:
f(-3) means x is equal to -3
-3 squared - 2(-3)
-3*-3 -2(-3)
*Negative multiplied by a negative equals a positive
9+6= 15
f(-3)= 15
Hope this helps!
Answer:
put (-3) in place of x then it will be 9-6 then f(-3)=3
What is the center of the circle x ^ 2 + y ^ 2 + 14 = 9x
How many milliliters are in
10 teaspoons? 1 tsp = 5 mL
Answer:
about 50
Step-by-step explanation:
Ten teaspoons equal 50 milliliters using the conversion factor 1 tsp = 5 mL.
1 tsp = 5 mL
By multiplying 10 teaspoons by the conversion factor (10 tsp × 5 mL/1 tsp)
10 teaspoons × 5 mL/1 tsp = 50 milliliters
So, there are 50 milliliters in 10 teaspoons.
The conversion factor enables us to maintain the same quantity while converting between different units of measurement. It is an essential tool for performing precise conversions in a variety of disciplines including chemistry, medicine and cooking. For practical applications unit conversions must be understood in order to ensure accurate measurements and consistent outcomes across various measurement systems. Since milliliters are a more commonly used unit of measurement, the conversion in this instance enables us to express the volume of teaspoons in that unit.
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I need help ASAP.
Measure of Variabilty
Easy 30 points.
Answer:
The first one is 12.0, the second one is 12.9, and the third one is greater than or equal to I believe
Step-by-step explanation:
1. because it wants the average but the average is 12.9 so we use the median which is 12.0
2. because it is basically making it into a fraction so 12.9 is the total average
3. 2.4 is greater than or it can be equal to 1.5
PLEASEEE help me on these 2 questions
Answer:
See below.
Step-by-step explanation:
Given numbers :-
⇒ 176, 231, 247, 256, 272, 299, 325, 343, 366, 375
⇒ Median = 272 + 299 / 2 = 285.5
⇒ Mean = 2890/10 = 289
(a) median if 375 becomes 265
⇒ 176, 231, 247, 256, 265, 272, 299, 325, 343, 366
⇒ New median = 265 + 272 / 2 = 268.5
⇒ Decreases by 17
(b) mean if 375 becomes 265
⇒ New mean = 2890 - 110 / 10 = 2780/10 = 278
⇒ Decreases by 11
Tickets to Disney World are $100. The price is going to increase on January 1. What is
the percent of change if the cost increases to a $120?
Answer:
120%
Step-by-step explanation:
Rounded to the nearest whole degree, what is the measure of angle boa? ° rounded to the nearest tenth of a centimeter, what is the length of arc bac? cm
1) The measure of ∠BOA is 60.16°.
2) the length of arc BAC is 14.68cm.
What is the formula for arc length?
Arc length = Central Angle(in radian) * Radius
So, length of arc AC = (45π/180) * 8
Arc AC = 2π
Arc AC = 6.28cm
So, length of arc BAC = arc AC+ arc AB
Arc BAC = 6.28 +8.4
Arc BAC = 14.68cm
∠BOA = length of Arc AB / Radius
∠BOA = 8.4/8 = 1.05 radian
∠BOA= 1.05 *(180/π)°
∠BOA=60.16°
Therefore, 1) The measure of ∠BOA is 60.16°.
2) the length of arc BAC is 14.68cm.
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Answer:
BOA= 60
BAC= 14.7
Step-by-step explanation:
i did it
what is the opposite of the opposite of -6
Answer:
-6
Step-by-step explanation:
Using additive inverse you will get the answer 6 because additive inverse is the opposite of a number on the number line. But you will reverse it again so it would be -6
Answer:
the opposite of -6 = 6
the opposite of the opposite of -6 = -6
Step-by-step explanation:
easy?
Can I get some help?
A. 48
B. 55
C. 77
D. There is not enough information given to find the value of x
Here is a famous prize problem that Sam Loyd issued in 1882, offering $1000 as a prize for the best answer showing how to arrange the seven figures and the eight 'dots' .4.5.6.7.8.9.0. which would add up to 82
Answer: The dot over a number signifies that it is a repeater which would go on for ever, as when we endeavor to describe 1/3 decimally as 0.33333 . . . . (etc) With a series of numbers we place the dot over the first and last, as with 0.97979797979 . . . (etc) The remarkable feature being that a proper fraction divided by 9s e.g. 46/99 is exactly equal to the numerator with the repeater sign followed by the decimal.
Step-by-step explanation: Hope This Helps, Have A Nice Day.
ANSWER GETS 50 POINTS PLEASE HELP FAST
Which of the following is NOT a possible root of the function for f(x)=3x3+ 2x2+x +4
Answer: It must be A
Step-by-step explanation:
The reason is because it is the only that is a integer and a fraction
A club puts its members into 5 groups for an activity. After 10 students have to leave early ,there are only 15 students left to finish the activity. How many students were in
each group?
Answer:
First, we need to figure out the total amount of students:
+ 10 students(ten students leave)
+ 15 students(15 students left)
10 + 15
= 25 students.
x = will represent the total amount of students in each group, so:-
5 groups per x students.
5x = 25(total students before alteration)
÷5 ÷5
x = 5, there are 5 students in each group.
Find the value of x
Harry has a cable the cable has a length of 16 meters harry cuts the cable into two parts, part A and part B the length of part A is 5 meters the weight of part A is 8kg work out the weight of part B
Answer:
17.6 kg
Step-by-step explanation:
5 meters = 8 kg
8/5 = 1.6 kg per meter
16-5 = 11
11*1.6 = 17.6 kg
Part E
Now check your work by using the GeoGebra geometry tool to repeat parts A through D. Open GeoGebra e, and complete
each step below. If you need help, follow these instructions for using GeoGebra. You'll take a screenshot of your work when
you're through, so be sure to clearly label your construction as you work.
1. Plot points A, B and C, and draw a polygon, AABC, through the points.
2. Draw a line perpendicular to AC through point B. 3. Label the intersection of the line perpendicular to AC through Band AC point D.
4. Measure and display the slopes of AC and BD.
5. Display the equations of AC and BD in the Algebra margin.
6. Measure and display the lengths of AC and BD.
7. Calculate and display the area o Part F
Compare the calculations displayed in GeoGebra with the calculations you completed in parts A through D. Look in the Algebra
margin too. Do the results in GeoGebra match the results you obtained earlier? If not, where do the discrepancies occur? You
might have to rearrange equations algebraically to determine whether two equations match. Part 6
You've seen two methods for finding the area of AABC-using coordinate algebra (by hand) and using geometry software.
How are the two methods similar? How are they different? Why might coordinate algebra be important in making and using
geometry software?
Answer:
Part E is the pic
Part F is the triangle
sorry if it is kinda blurry
Part 6:
You've seen two methods for finding the area of AABC-using coordinate algebra (by hand) and using geometry software.
How are the two methods similar?
They both apply the fundamentals of triangle geometry in solving the area of a triangle using the formula for the area of triangle 1/2×base of triangle×height of the triangle.
How are they different?
Using coordinate algebra in finding the area of a triangle, you would have to measure coordinates(XY coordinates) of a triangle manually on the graph and find y coordinates based on x. If you used geometry software, it would get these coordinates automatically(based on your graph on the software) and calculate the area of the triangle using the formula.
Why might coordinate algebra be important in making and using geometry software?
A solid grasp of coordinate algebra allows you to understand how the geometry software works because it makes use of the same geometry fundamentals, making it easier for you to tweak and get the best value out of the software for your geometry calculations.
Hope it helps!!!Brainliest pls!!!Find the perimeter of the rectangle. The drawing is
not to scale.
47 ft
57 ft
Answer:
p=2l+2w
p=2(57)+2(47)
p=208 feet
The perimeter of rectangle is 208 ft.
What is perimeter of rectangle?The perimeter of a rectangle is the total length or distance of its boundary on all sides. The perimeter of a rectangle is a linear measure and is expressed in linear units of meters, feet, inches, or yards. Let us first understand the two main properties of a rectangle.
All four angles of a rectangle are 90°.The opposite sides of a rectangle are equal in measure.Therefore, the Perimeter of a rectangle = 2(l + w).
Given:
length = 47 ft
width = 57 ft
So, the perimeter of rectangle
= 2( l + w)
=2( 47 + 57)
= 2 x 104
= 208.
Hence, the perimeter of rectangle is 208 ft
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What is 5(y-2)-2=2(y+1)-5? Solve for y and show your work please.
Answer:
y = 3
Step-by-step explanation:
Let's start with the left side of the equation.
5(y-2)-2= 2(y+1)-5
5y-10-2= 2(y+1)-5
Now let's solve the right side
5y-10-2= 2y+2-5
5y-12= 2y-3
-2y -2y
3y-12=-3
+12 +12
3y = 9
3y/3 = 9/3
y = 3
hope this helps!
A
45°
B
Reflex Angle B =
degrees.
Answer:
315
Step-by-step explanation:
360 - 45 = 315
since a full circle is 360 degrees that is why we take away the 45 degrees.
Original price? The discount is 40% in the sale price is $18
Answer:
$10.80
Step-by-step explanation:
Final Price = Original Price - Discount
Final Price = 18 - 7.2
Final Price = $10.80
While evan and sam are fishing 12kms from shore, their boat springs a leak, and water comes in at a constant rate of 3 gallons per minute. Same starts rowing towards the shore at a constant rate of 24kms per hour while evan bails water out of the boat. What is the slowest rate, in gallons per minute, at which evan can bail if they are to reach the shore with out sinking?
Based on the calculations, the slowest rate is equal to 4 gallons per minute.
Given the following data:
Distance from shore = 12 km.In-rate = 3 gallons per minute. Rowing rate = 24 km per hour.How to calculate the slowest rate.Let's assume the boat would sink if it takes in more than 20 gallons of water.
Conversion:
24 km/h to km/min = [tex]\frac{24 }{60}[/tex] = 0.4 km/min.Translating the word problem into an algebraic expression, we have;
[tex]\frac{12}{0.4} \times 3 - \frac{12}{0.4} \times x\geq 30\\\\\frac{36}{0.4}-\frac{12x}{0.4} \geq 30\\\\90-\frac{12x}{0.4} \geq 30\\\\\frac{12x}{0.4} \geq90+30\\\\\frac{12x}{0.4} \geq120\\\\12x \geq120 \times 0.4\\\\12x \geq 48\\\\x\geq 4[/tex]
Therefore, the slowest rate is equal to 4 gallons per minute.
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