Answer:
f(x) = (x+10)^2 - 4
Step-by-step explanation:
vertex form is y = a(x-h)^2+k
to complete the square, we want to add a number on both sides so x^2+20x+whatver the number is, is the square of something
to find that number take 20, divide by 2, and then square it to get 100.
so, you would get f(x)+100 = x^2+20x+100+96
subtract 96 on both sides: x^2+20x+100 = f(x) + 4
factor: f(x) = (x+10)^2 - 4
Simplify the expression: 4(2x - 5)
Answer:
8x - 20
Step-by-step explanation:
P.S Can I have brainliest?
Step-by-step explanation:
=4(2x-5)
=8x-20
hope it helps.
What is the median of the following data values?
98, 102, 53, 60, 22
=================================================
Explanation:
Sort the values from smallest to largest.
You should get {22, 53, 60, 98, 102}
The middle most value is 60, so this is the median.
If you wanted, you can cross off the outermost pair of values (22 and 102) to end up with {53, 60, 98} to help see the middle better.
----------
Another approach:
We have n = 5 items in the sorted set {22, 53, 60, 98, 102}
The middle-most value is in slot 3 since n/2 = 5/2 = 2.5 which rounds up to 3. The value in slot 3 is 60, so this is the median. This trick only works when we have an odd number of values.
Answer: the median is 60
Step-by-step explanation: It is 60 because in order to find the mean you have to put all the numbers in order from least to greatest.
22,53,60,98,102.
after doing this you have to see how many quantity of data will pair up and the one that is left in the middle is the median. In other words you have 5 data sets in this example, 22 and 102 will be a pair and so will 53 and 98 which would leave 60 in the middle with no pair hence 60 would be the median
What is the ABSOLUTE maximum value of this graph?
Answer:
the absolute maximum is 3 because it's the highest point on the graph
Step-by-step explanation:
What is the solution to the system of equations graphed below?
Answer:
Option C
Step-by-step explanation:
According to the graph, the lines that represent the system intercept, or cross, at point (-1, 0).
This means that the point would be the solution to the system of equations.
Hope this helps.
Draw AABC with vertices at A(1,6), B(1, 1) and C(5, 1). In this triangle, AB2 + BC2 = AC².
Next, use the GeoGebra tools to draw ADEF such that AB = DE, m/E = 90°, and
EF = BC.
Paste a picture of your drawing in the answer box
The triangle ABC drawing, which has vertices at A (1,6), B (1,1), and C (5,1) is shown below.
A triangle is the most basic form for a polygon with three sides and three vertices. Triangles are divided into various groups using their sides and angles. The triangle's total angle is always equal to 180 degrees, which is an interesting triangle fact (straight angle).
It is common knowledge that a triangle is a type of polygon with three edges and three vertices.
A, B, and C are frequently used to denote its vertices, making it one of the most important shapes in geometry.
A (1,6), B (1,1), and C (5,1) will be picked as the points. 〖〖AB〗^2+ 〖BC〗^2= AC〗^2
Hence, the image of the triangle ABC's design, which has vertices at A (1,6), B (1,1), and C (5,1) is linked above.
To learn more about triangle, visit:
brainly.com/question/28600396
#SPJ9
Write an expression equal to 9^4
Answer:
9 x 9 x 9 x 9
Step-by-step explanation:
9^4 is a shorter and similar way of writing 9 x 9 x 9 x 9
6x + 5y = 3 solve for y
Answer:
-6/5x + 3/5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Move all terms that don't contain y to the right side and solve.y
y= − 3+ 6 x
5 5
Bob and Kathy want to save a total of $500,000 for retirement. How much should they deposit monthly into an account that pays 3.9% interest,
compounded monthly, to meet their goal in 24 years?
$1,051.17
$2,102.34
$950.41
$4,446.41
Answer:
it would 4,446.41
Step-by-step explanation:
An airplane crosses the Atlantic Ocean (3000 miles) with an airspeed of 600 miles per hour. The cost C (in dollars) per passenger is given by...
(a) What is the cost per passenger for quiescent (no wind) conditions?
The cost per passenger for quiescent (no wind) conditions is $252.33.
How to illustrate the information?It should be noted that based on the information given, the cost function that was illustrated in the question is:
C(x) = 175 + x/25 + 32000/x
In this case, it should be noted that the airplane crosses the Atlantic Ocean with an airspeed of 600 miles per hour.
Therefore, the cost per passenger for quiescent conditions will be:
C(x) = 175 + x/25 + 32000/x
where x = 600
C(x) = 175 + x/25 + 32000/x
C(x) = 175 + 600/25 + 32000/600
C(x) = 175 + 24 + 53.33
C = $252.33
Therefore, the cost per passenger for quiescent (no wind) conditions is $252.33
Learn more about cost on:
brainly.com/question/25109150
#SPJ1
The value of sallys caravan decreased by x% in the third year. At the end of the third year the value of sallys caravan was £16,500. Work out the value of x
The value of x is 100 - 1650000/y where the initial value of the Sally's caravan be represented by y
How to work out the value of x?The given parameters are
New value = £16,500
Rate of decrease = x%
Let the initial value of the Sally's caravan be represented by y
So, we have the following equation
Initial value * (1 - Rate of decrease) = New Value
This gives
y * (1 - x%) = 16,500
Divide both sides of the equation by y
So, we have
1 - x% = 16500/y
This gives
x% = 1 - 16500/y
Multiply through by 100
x = 100 - 1650000/y
Hence, the value of x is 100 - 1650000/y where the initial value of the Sally's caravan be represented by y
Read more about rates at
https://brainly.com/question/8728504
#SPJ1
Need help asap please!!!
Answer:
25
Step-by-step explanation:
but i.d.k
19/258 = 21/?
help pls
Answer:
285.15Step-by-step explanation:
Given the expression;
19/258 = 21/x
We are to find the unknown value x;
Cross multiply;
19 * x = 258 * 21
19x = 5418
Divide both sides by 19;
19x/19 = 5418/19
x = 285.15
Hence the unknown value is 285.15
What is the unit price if 4 pounds of fruit
cost $6.487
A salesman sells 2812 storybooks in November.
He sells 1845 more storybooks in December than in November.
How many more storybooks must he sell in order to reach a total
sale of 8500 storybooks in the 2 months?
Answer:
2812+1845
=4657
step 2
=8500-4657
=3843
he must sell 3843 books in the next 2 months
Please help I’m gonna do many questions with the work
Answer:
take another picture
Step-by-step explanation:
Davis completes five books in 2 days. How many books should he be able to complete in eight days?
PLEASE HELP MSRKING PEOPLE AS BRAINLIDT
Answer:
The answer is C.
Step-by-step explanation:
Hope this helps!
Kathy bought a pair of jeans on sale for 30% off of the regular price. If the jeans regularly cost $75.00, how much did she pay?
Answer:
$22.50
Step-by-step explanation:
Perform the indicated operation and simplify the result. Leave your answer in factored form.
[tex]\frac{\frac{5x}{x^{2} -4} }{\frac{8x}{x+2} }[/tex]
Answer:
[tex]\frac{x}{y} \frac{5x}{\frac{x^{2} -4}{\frac{8x}{x+2} } }\\\\=\frac{5x(x+2)}{8x(x^{2} -4)}\\\\=\frac{5(x+2)}{8(x+2)(x-2)}\\\\=\frac{5}{8(x-2)}\\\\=\frac{5}{8}.\frac{1}{x-2}[/tex]
Step-by-step explanation:
Step-by-step explanation:
[tex] \frac{ \frac{5x}{ {x}^{2} - 4 } }{ \frac{8x}{x + 2} } = \frac{5x}{ {x}^{2} - 4 } \times \frac{x + 2}{8x} = \frac{5x + 10}{ {8x}^{2} - 32} \\ [/tex]
hope it helps:)
50 points i really need help
Answer:
first one i just don't find that sign of math in my computer but yeah
Step-by-step explanation:
HAPPY HOLIDAYS :)
Function f is an exponential function. It predicts the value of a famous sculpture, in thousands of dollars, as a function of the number of years since it was last purchased.
What equation models this function?
Enter your answer in the box.
f(x)=
Answer:
there you go took me a second but I got it
Math Focus
4. Calculate What is the
kinetic energy of a 0.50 kg
hammer that hits the floor at
a speed of 10 m/s?
The kinetic energy of hammer is 25 m/s.
How to find the kinetic energy?The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity.
given that
the mass of the hammer is 0.50 kg.
The velocity of the hammer is 10 m/s.
now find the kinetic energy of the hammer.
[tex]kinetic \: energy = \frac{1}{2}m {v}^{2} [/tex]
[tex]kinetic \: energy = \frac{1}{2} \times 0.50 \times {10}^{2} [/tex]
kinetic energy = 0.25 X 100
kinetic energy = 25 m/s.
Hence, the kinetic energy of hammer is 25 m/s.
Learn more about kinetic energy from here:
https://brainly.com/question/25959744
#SPJ9
Use the equation to predict how many glasses with 9
pieces of bling Bella can expect to sell. Do not round.
Input your answer. Then click done.
Answer:
Bella can sell 13.78 glasses with 9 pieces of bling.
Step-by-step explanation:
Given the function
y=1.36x+1.54
As pieces of the bling are represented on the x-axis, and the number of glasses is represented on the y-axis.Given that the number of pieces of bling = x = 9
Thus,
[tex]y = 1.36x+1.54[/tex]
[tex]= 1.36(9)+1.54[/tex]
[tex]=12.24+1.54[/tex]
[tex]=13.78[/tex]
Thus, Bella can sell 13.78 glasses with 9 pieces of bling.
Montraie drove 220 miles in 5 hours. If he continued at the same rate, how long would it take to travel 88 miles?
Answer:
2 hours
Step-by-step explanation:
220/5=44 miles an hour
88/44=2
2 hours
The solution is 2 hours
Total time it will take Montraie to travel a distance of 88 miles is 2 hours
What is Speed?
Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the total time for Montraie to drive 88 miles be = A
The distance traveled by Montraie be D
The value of D = 220 miles
The time taken by Montraie to travel 220 miles is T = 5 hours
Now , the speed of Montraie S = distance traveled by Montraie / time taken by Montraie
Substituting the values in the equation , we get
The speed of Montraie S = 220 / 5
The speed of Montraie S = 44 miles per hour
Now , the distance traveled by Montraie = 88 miles
So , the time taken by Montraie to travel 88 miles = distance traveled by Montraie / speed of Montraie S
Substituting the values in the equation , we get
The time taken by Montraie to travel 88 miles = 88 / 44
The time taken by Montraie to travel 88 miles A = 2 hours
Therefore , the value of A is 2 hours
Hence , The total time it will take Montraie to travel 88 miles is 2 hours
To learn more about speed click :
https://brainly.com/question/19930939
#SPJ2
a man buys eggs at RS 9.60 per dozen and sell 20 eggs for RS 18 what is his gain or loss percen?
Answer:
Percentage Gain = 12.5%
Step-by-step explanation:
Given
[tex]Cost\ Prize = 9.60[/tex] per dozen
[tex]Selling\ Price = 18[/tex] per 20
Required
Determine the percentage gain or loss
First, we have to calculate the unit cost price and the unit selling price.
If a dozen costs 9.60
Then 1 costs
[tex]Cost = 9.60/12[/tex]
[tex]Cost = 0.80[/tex]
If he sells 20 for 18
Then he sells 1 for:
[tex]Sell = 18/20[/tex]
[tex]Sell = 0.9[/tex]
The percentage change is then calculated as:
[tex]\%Change = \frac{Sell - Cost}{Cost} * 100\%[/tex]
[tex]\%Change = \frac{0.9 - 0.8}{0.8} * 100\%[/tex]
[tex]\%Change = \frac{0.1}{0.8} * 100\%[/tex]
[tex]\%Change = \frac{0.1 * 100\%}{0.8}[/tex]
[tex]\%Change = \frac{10\%}{0.8}[/tex]
[tex]\%Change = 12.5\%[/tex]
Because the percentage change is positive, then he made a gain.
Hence:
Percentage Gain = 12.5%
Can anybody help on this (20 pts)
find the slope from the table x -2, -1, 0, 1, 2 y -3, -1, 1, 3, 5
Answer:
slope = 2
Step-by-step explanation:
work is in the picture if you need it... please mark brainiest
Ok ok ok ok ok ok ok ok ok ok ok
Answer:
ok
Step-by-step explanation:
Answer: huh
Step-by-step explanation:
Parallel lines have the same....
A) Equation
B) y - intercept
C) X - intercept
D) slope
the table represents a linear function.
a) -8
b) -4
c) 2
d) 5
Answer:
b. -4
Step-by-step explanation:
Every time one x value increases the y value decreases by 4. In the x values shown the number that should come after -4 is -3 so the y values -2 and -2 that are 8 units apart should be halved and be -4. This function maintains a constant rate of change throughout the function.