Answer:
And for this case we can begin completing the square like this:
[tex] f(x) = x^2 +10x + (10/2)^2 +21 -(10/2)^2[/tex]
And after aggrupate the terms we got:
[tex] f(x) = (x+5)^2 +21 -25 [/tex]
And finally we have:
[tex] f(X)= (x+5)^2 -4[/tex]
And for this case our vertex would be:
[tex] (h,k) = (-5,-4) [/tex]
Step-by-step explanation:
For this case we have the following equation given:
[tex] f(x) = x^2 +10x +21[/tex]
And we want to find a formula in terms in the vertex form given by:
[tex] f(x) = a(x-h)^2 +k[/tex]
And for this case we can begin completing the square like this:
[tex] f(x) = x^2 +10x + (10/2)^2 +21 -(10/2)^2[/tex]
And after aggrupate the terms we got:
[tex] f(x) = (x+5)^2 +21 -25 [/tex]
And finally we have:
[tex] f(X)= (x+5)^2 -4[/tex]
And for this case our vertex would be:
[tex] (h,k) = (-5,-4) [/tex]
How do you find the median of a data set when you have an even number of values?
Answer:
If there is an even number of numbers, the median is the average of the two numbers in the middle.
Step-by-step explanation:
To find the median of any set of numbers, put them in order from smallest to greatest. If a number occurs more than once, list it more than once. The number in the middle is the median. If there is an even number of numbers, the median is the average of the two numbers in the middle. For your first example, we line them up: 3, 6, 6.
Answer:
Set them from least to greatest and remove one from each side until you find the middle number! If you're left with 2, add them both and divide by 2.
Step-by-step explanation:
The table below represents the equation: y = 1.5x – 2 A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, 0, 3, 6. Column 2 is labeled y with entries negative 6.5, negative 2, blank, blank. Y = 1.5 (negative 3) minus 2. y = 1.5 (0) minus 2. If you completed this table, would each input have exactly one output?
Answer:
yes, each input would have exactly one output if you completed this table.
Step-by-step explanation:
Yes, there is only one output for each input. The table's linear equation provides exactly one value of y for each value of x.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
What is the linear equation?The general equation of a line is y = mx + c
where m is the slope of the line and c is the intercept.
A linear equation is defined as an equation in which the highest power of the variable is always one.
The table's linear equation provides exactly one value of y for each value of x.
Yes, there is only one output for each input.
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Find the area of a traingle given that the base is 19.5cm and height is 8 4/5cm.
Whoever that answers I will mark you as brilliant
Answer:
85.6cm
Step-by-step explanation:
Area of a triangle =1/2*b*h
Where base=19.5cm while the height is 8 4/5 = 8.8
Area = 1/2 * 19.5cm * 8.8cm
Area = 171.6cm/2
Area=85.6cm
Can someone help me again pleaseeee :')
The answer is I because S is at -2 and T is at 4.
write an algebraic expression for 2 less than twice a n
Answer:
(2(an))-2
Step-by-step explanation:
What is th he sum of the first seven terms of the series -3+6-12+24-...?
Answer:
-129
Step-by-step explanation:
-3+6-12+24-48+96-192=
6+24+96-3-12-48-192=
126-255=
-129
Hope this helps!
If our monthly income is $1,450 and your house payment is $1,125, what fraction of your monthly income must go to pay your house payment?
Answer:
1125/1450 or simplify it, 45/58
Step-by-step explanation:
1125/1450 or simplify it, 45/58
Simplify 9 over quantity of 3 minus 2 i
Answer:
27/13+18/13i
Step-by-step explanation:
9/(3-2i)
=9(3+2i)/(3-2i)(3+2i)
=9(3+2i)/13
=27/13+18/13i
I hope this helped and have a good rest of your day!
[25x^{2} + 16y^{2}
plz factor
Answer:
[tex](5x)^2+(4y)^2[/tex]
Step-by-step explanation:
[tex]25x^2+16y^2=\\(5x)^2+(4y)^2[/tex]
Hope this helps!
Help me please.. Also look in comments
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
the the shape is going to end up in the third quadrant.the squadron only includes both negative X values and negative y values meaning that both X and y will be negative.
BRAINLIEST this is a really hard question and i just cant figure it out, can someone please help me
What is 0 + 0 - 0 / 0 = 0 + 0 / 0
i cant figure it out lol
Answer:
so first, 0 can't be divisible
but whatever,
0 + 0=0
0-0=0
0/0=0 = 0+0=0/0=0
so the answer will stay the same, which is 0.
lol, hope that helps, dude/dudess.
Answer:
0
Step-by-step explanation:
because
0+0=0
0-0=0
0÷0=0
0×0=0
I need help with math can someone help me I’ll show the question?
nora spend 1/4 of her pocket money on choclate ,1/8 pizz at end she had 40 dollar left how much did she have at the begging
Answer:
$64
Step-by-step explanation:
1/4 + 1/8=3/8
8/8-3/8=5/8
8/8 x 40 x8/5
=$64
Answer:
64
Step-by-step explanation:
1/4 = 2/8
2/8 + 1/8 = 3/8
5/8 = 40
div by 5 = 8
1/8 = 8
she had 64 dollars to start with
How to solve #2 if you don’t know any of the side lengths?? (We’re learning about Pythagorean Theorem)
Answer:
Applying Pythagorean theorem in right triangle with c is longest side and a, b are the other sides:
=> c^2 = a^2 + b^2
=> a^2 = c^2 - b^2
=> b^2 = c^2 - a^2
Hope this helps!
:)
Answer:
c² = a² + b²
a² = c² - b²
b² = c² - a²
can someone help me please
Answer:
y = (-1/80)x^2 +2x
Step-by-step explanation:
The graph of the equation for the arch will go through the points ...
(0, 0), (160, 0), (80, 80)
We can start by making use of the zeros to write the function ...
y = a(x -0)(x -160)
To make the graph go through the point (80, 80), we must have ...
80 = a(80 -0)(80 -160) = (-80^2)a
-1/80 = a . . . . . . divide by the coefficient of "a"
So, our equation is ...
y = (-1/80)x(x -160)
y = (-1/80)x^2 +2x
find the value of the x in the isoscelies triangle shown below.
Answer:
10
Step-by-step explanation:
x = root(6^2 + 8^)
...............
What is the median of the following numbers?
8,10,8,5,4,7,5,10,8
Answer:
the answer is 4
Step-by-step explanation:
Answer:
the median is 7
Step-by-step explanation:
to find the median you need to find the highest number in value and then find the lowest number in value. The median is the middle value.
A student used f(x) = 5.00(1.012)* to show how the balance in a savings account will
increase over time. What does the 5.00 represent?
Answer:
the initial balance
Step-by-step explanation:
5.00 is the value of f(0). It is the balance before any time has elapsed, the initial balance.
Help due soon plss!!!!
Answer:
Cube=150cm^2
Triangular Prism=228ft^2
Step-by-step explanation:
Cube
[tex]A=6a^2=6*5^2=150cm^2[/tex]
Triangular prism
Using these formulas
[tex]A=2A_{B}+(a+b+c)h\\A_{B} =\sqrt{s(s*a)(s*b)(s*c)} \\s=\frac{a+b+c}{2}[/tex]
Solving for A
[tex]A=ah+bh+ch+\frac{1}{2} \sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4} \\=6.5*11+5*11+6.5*11+\frac{1}{2} *\sqrt{-6.5^4+2*(6.5*5)^2+2*(6.5*6.5)^2-5^4+2*(5*6.5)^2-6.5^4} \\=228ft^2[/tex]
Find the value of x.
Answer:
x = 61
Step-by-step explanation:
x and 29 are complementary angles so they add to 90 degrees
x+29 = 90
Subtract 29 from each side
x+29-29 = 90-29
x = 61
Answer:
61 degrees = x
Step-by-step explanation:
Since angle measures x and 29 are complementary angles, subtract 29 from 90 degrees.
90 - 29 = 61 degrees is the value of x
URGENT
A kite flying at a height of 65 m is attached to a string inclined at 31° to the ground. What is the length of the string? (please show work)
PLEASE HELP?
In a bad news message, the reasons for the decision
A: should be long and roundabout to cushion the negative aspects.
B: are so obvious that you don't need to mention them.
C: come directly after the buffer and follow naturally from it.
D: should be glossed over quickly.
What is the equation of a line that is perpendicular to x = 6 and passes through the point (2, 3)?
Answer:
Step-by-step explanation:
The equation of any line perpendicular to a line with an equation of x= (vertical line) will have the form y= (horizontal line). In this case, since this line passes through the y value of 3, that means that the equation is y=3.
Rearrange the equation so q is the independent variable.
9q-4=3r-6
r = __
Answer:r=3q+2/3
Step-by-step explanation:
Step 1: Flip the equation.
3r-6=9q-4
Step 2: Add 6 to both sides.
3r-6+6=9q-4+6
3r=9q+2
Step 3: Divide both sides by 3.
3r/3=9q+2/3
r=3q+2/3
Hopefully it’s right
Rearranging the equation, so q is the independent variable as r=(9q+2)/3.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 9q-4=3r-6.
Now, 9q-4+6=3r
3r=9q+2
r=(9q+2)/3
Therefore, rearranging the equation, so q is the independent variable as r=(9q+2)/3.
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1) Classify the following attributes as binary, discrete, or continuous. Also classify them as qualitative (nominal or ordinal) or quantitative (interval or ratio). Some cases may have more than one interpretation, so briefly indicate your reasoning if you think there may be some ambiguity.
Example: Age in years.
Answer: Discrete, quantitative, ratio
a) Time in terms of AM or PM.
b) Brightness as measured by a light meter.
c) Brightness as measured by people's judgments.
d) Angles as measured in degrees between 0 and 360.
e) Bronze, Silver, and Gold medals as awarded at the Olympics.
f) Height above sea level.
Answer:
a) Time in terms of AM or PM: Binary, qualitative and nominal (binary attributes are considered nominal)
b) Brightness as measured by a light meter: Ratio, quantitative and continuous.
c) Brightness as measured by people's judgments: Discrete, qualitative and ordinal (assuming they're chosen discretely)
d) Angles as measured in degrees between 0 and 360: Ratio, quantitative and continuous.
e) Bronze, Silver, and Gold medals as awarded at the Olympics: Qualitative, discrete and ordinal.
f) Height above sea level: Quantitative, continuous, ratio/interval (depending if it's seen as an arbitrary origin).
In a survey of 100 people, 65 read daily newspaper, 45 read weekly newspaper,40 read monthly news paper, 25 read daily as well as Weekly, 20 read daily as well as monthly and, 15 read at least one type of newspaper find..
*How many people read all three types.
*The Number of people who read exactly two news paper.
Answer 5
Step-by-step explanation:
Step-by-step explanation:
the solution is impossible since 15 read at least one type of them
What is the rectangular equivalence to the parametric equations?
x(θ)=3cosθ+2,y(θ)=2sinθ−1 , where 0≤θ<2π .
Answer:
[tex]\left(\frac{x-2}{3} \right)^{2}+\left(\frac{y+1}{2} \right)^{2} = 1[/tex] (An ellipse)
Step-by-step explanation:
Let consider the following trigonometric identity:
[tex]\sin^{2}\theta + \cos^{2}\theta = 1[/tex]
Each trigonometric function is cleared respectively in given parametric equations:
[tex]\cos \theta = \frac{x-2}{3}[/tex] and [tex]\sin \theta = \frac{y + 1}{2}[/tex]
The equivalent expression in rectangular form is:
[tex]\left(\frac{x-2}{3} \right)^{2}+\left(\frac{y+1}{2} \right)^{2} = 1[/tex]
Which represents an ellipse.
A cylindrical tank is half-full of oil. The cylinder has base radius of 100cm.The height of the cylinder is 250cm. 1 litre =1000cm cubed
How many litres of oil are in the tank? Round your answer to the nearest litre.
Answer:
Step-by-step explanation:
area of a cylinder=. V=πx r^2xh
so...
πx100^2x125=3926990.817 (the height is 125 because only half of it has oil)
3926990.817/1000=3927litres
Which dimensions can create more than one triangle?
three angles measuring 259, 65°, and 90°
three angles measuring 509, 50°, and 50°
three sides measuring 5 in., 12 in., and 13 in.
three sides measuring 4 ft, 8 ft, and 10 ft
Answer:
three sides measuring 4 ft, 8 ft, and 10 ft
Step-by-step explanation:
To choose which dimensions that can create more than one triangle, we consider the given values carefully and how possible it will be to construct.
The only dimensions given in the option that will be possible to create more than one triangle from it, is three sides measuring 4 ft, 8 ft, and 10 ft.
4 ft, 8 ft, and 10 ft are in simple multiple of 2
4 ft, 8 ft, and 10 ft = 2 (2 ft, 4 ft, and 5 ft ), with this we can construct two triangles with three sides measuring 2 ft, 4 ft, and 5 ft.
Answer:
d
Step-by-step explanation:
Convert the equations into slope intercept form,
then identify the slope and y-intercept.
1. -x + y = 3
m=
b=
2. -4x + 2y = 6
m=
b=
3. 2x + =3
m=
b=
Answer:
1. -x + y = 3
m= 1
b= 3
2. -4x + 2y = 6
m= 2
b= 3
Step-by-step explanation:
Slope intercept is form to write equation for straight line.
It is represented as y = mx+ b
where m is the slope of line
B is the y intercept (pint on y axis where the line crosses y axis)
________________________________________________
Given
1. -x + y = 3
we need to convert this line in form of y = mx+ b
-x + y = 3
to do this we have to move - x from LHS to RHS
it can be done by adding both side +x which will eleminate -x from LHS
-x + y + x = 3 + X
=>y = 3 + x
=> y = x +c
Thus comparing it with slope form line: y = mx+ b
m =1
b = 3
__________________________________________________
Given
1. -4x + 2y = 6
we need to convert this line in form of y = mx+ b
-4x + 2y = 6
to do this we have to move + 4x from LHS to RHS
it can be done by adding both side +4x which will eleminate -4x from LHS
-4x + 2y + 4x= 6 +4x
=>2y =6 +4x
Now we have to remove 2 from 2y =6 +4x
To do this we divide both side by 2 . now we have equation
=> 2y/2 =(6 +4x)/ 2 = 6/2 + 4x/2
=> y = 3 + 2x
Thus comparing it with slope form line: y = mx+ b
m = 2
b = 3
__________________________________
Third part has 2x + =3 has y missing
it can be solved similarly.
say in place of y we have my where m is coefficient of y
2x + my =3
to do this we have to move + 2x from LHS to RHS
it can be done by subtracting -2x from both side which will eleminate 2x from LHS
2x + my -2x =3 -2x
=>my =3 -2x
Now we have to remove m from my =3 -2x
To do this we divide both side by m . now we have equation
=> my/m =(3 -2x)/ m = 3/m -2x/m
=> y = 3/m - 2x/m
Thus comparing it with slope form line: y = mx+ b
m = -2/m
b = 3/m