Complete the square for the following expression
and write the resulting expression as a binomial squared.
x² + 8x +_____=(_____)^2
Answers
Answer:
16, x+4^2
Step-by-step explanation:
To find the perfect square with an A factor of 1, just double the next number.
Related Questions
A rock-climbing wall at a local park has a right triangular section that slants toward the climber, as shown in the picture below. The height of the wall is 5 meters and the slanted section begins 1.2 meters up the wall at an angle of 14 degrees.
Answers
The length of the hypotenuse section on the rock-climbing wall at the local park is 3.92 meters
Calculating the length of the hypotenuse sectionThe length of the hypotenuse section is calculated using the following cosine function
cos(14) = adjacent/hypotenuse
Substitute the known values in the above equation, so, we have the following representation
cos(14) = (5 - 1.2)/hypotenuse
This gives
hypotenuse = (5 - 1.2)/cos(14)
Evaluate
hypotenuse = 3.92 meters
Hence, the hypotenuse is 3.92 meters
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-7g+3g²-31-4g-9g²
Combine like terms to simplify
Answers
Answer:
6g^2−11g−31
Step-by-step explanation:
If this helps may i plz have brainliest :)
The graph shows a distribution of data.
A graph shows the horizontal axis numbered 1 to x. The vertical axis is unnumbered. The graph shows an upward trend from 1 to 2 then a downward trend from 2 to 3.
What is the standard deviation of the data?
0.5
1.5
2.0
2.5
Answers
The standard deviation of the data in this problem is given as follows:
0.5.
How to obtain the standard deviation of the data?Considering the bell curve of the distribution, the distribution in this problem is the normal distribution.
The mean of the distribution is the center value of the distribution, which is given as follows:
2.
The standard deviation is the change at the tails of the distribution, hence it is given as follows:
0.5.
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un hotel tiene habitaciones dobles y sencillas. dispone en total de 50 habitaciones y 87 camas ¿cuántas habitaciones tiene cada tipo?
Answers
Answer:
En el hotel hay 13 habitaciones sencillas y 37 habitaciones dobles.
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.
En este caso, las variables que se definen son:
x: habitaciones simplesy: habitaciones doblesEntonces, el hotel dispone en total de 50 habitaciones, por lo que se plantea la ecuación:
x + y= 50
El hotel dispone de 87 camas. La cantidad de camas por habitación puede ser expresada mediante:
x + 2*y= 87
Entonces el sistema de ecuaciones a resolver es:
\(\left \{ {{x+y=50} \atop {x+2*y=87}} \right.\)
El método de sustitución consiste en despejar o aislar una de las incógnitas, por ejemplo x , y sustituir su expresión en la otra ecuación. De este modo, obtienes una ecuación de primer grado con la otra incógnita, y . Una vez resuelta, calculas el valor de x sustituyendo el valor de y ya conocido.
En este caso, despejando x de la primer ecuación:
x= 50 -y
y reemplazando en la segunda ecuación obtienes:
50 -y + 2*y=87
-y + 2*y=87 -50
y= 37
Reemplazando en la expresión x= 50 -y obtienes:
x= 50 -37= 50-37
x= 13
Recordando que x representa la cantidad de habitaciones sencillas e y la cantidad de habitaciones dobles, en el hotel hay 13 habitaciones sencillas y 37 habitaciones dobles.
The following gives the number of pints of type A blood used at Woodlawn Hospital in the past 6 weeks.Week of: Pints Used:____________________|_________________August 31 360September 7 389September 14 410September 21 381September 28 368October 5 374a. Forecast the demand for the week of October 12 using a 3-week moving average.b. Use a 3-week weighted moving average, with weights of .1, .3, and .6 using .6 for the most recent week. * Then, forecast demand for the week of October 12.c. Compute the forecast for the week of October 12 using exponential smoothing with a forecast for August 31 of 360 and a=.2
Answers
As a result, 368.96 pints of demand are anticipated using exponential smoothing for the week of October 12.
The number of pints of blood used over the previous three weeks must be added together and divided by three in order to predict the demand for the week of October 12 using a 3-week moving average.
Week of: Pints Used: Moving Average:
August 31 360 -
September 7 389 -
September 14 410 386.3
September 21 381 393.3
September 28 368 386.3
October 5 374 374.3
Hence, using a 3-week moving average, the predicted demand for the week of October 12 is 376.3 pints.
b. To forecast the demand using a 3-week weighted moving average, we must multiply the pints of blood that were used during the previous three weeks by their respective weights, add them all up, and divide by the total weights.
Week of: Pints Used: Weighted Average:
August 31 360 -
September 7 389 -
September 14 410 (0.1 * 360) + (0.3 * 389) + (0.6 * 410) = 401.1
September 21 381 (0.1 * 389) + (0.3 * 410) + (0.6 * 381) = 386.9
September 28 368 (0.1 * 410) + (0.3 * 381) + (0.6 * 368) = 373.9
October 5 374 (0.1 * 381) + (0.3 * 368) + (0.6 * 374) = 374.1
Thus, using a 3-week weighted moving average, the predicted demand for the week of October 12 is 377.4 pints.
c. Using exponential smoothing and a forecast for August 31 of 360 and a = 0.2, we may predict demand for the week of October 12 by using the following formula:
Prediction for October 5 is 365.2 because 360 + 0.2 * (374 - 360)
Forecast for October 12: 365.2-plus-0.2*(374-365.2)=368.96
As a result, 368.96 pints of demand are anticipated using exponential smoothing for the week of October 12.
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Find the slope and y intercept of the line 5x - 3y =12
Answers
Answer:
slope = 5/3
y-intercept = -4
Step-by-step explanation:
First, move the x to the other side of the equation:
-3y=-5x+12
Then, divide BOTH sides by -3, so that there is no coefficient next to y:
y=5/3x-4
Then, just look at the constant and coefficient next to x (m). The slope is 5/3 and the y-intercept is -4.
Hope this helps!
Answer:
\(y = \frac{5}{3}x - 4\)
Step-by-step explanation:
move the 5x to a -5x
-3y= -5x+12
-3/-3= -5x÷ -3 12÷ -3
5,624 ÷ 72 using estimation
Answers
Answer: 5,624 rounded would be 5,600 and 72 rounded would be 70.
5,600/70= 80
Step-by-step explanation:
Write an equation to represent the following description. Seventeen more than eight times a number is −6.
Answers
(you can use a different variable to replace x if you need to :D)
(x4+y3)9 third term in expansion
Answers
Answer:
27y+36x
Step-by-step explanation:
The polynomial, 3x2 - x +1, can be classified as a 2nd degree trinomial.True or false?
Answers
The polynomial given is:
\(3x^2\text{ - x + 1}\)A second degree polynomial is one in which the highest degree of powers is of the second degree.
Basically, a polynomial in which the highest power is 2.
By observing the given polynomial, it is a second degree polynomial.
So, the answer is True.
what 8 × 3 to the 14th power multiplied by 136???
\(23x {5521}^{?} \)
Answers
om de har har mahadev har har mahadev har har mahadev mahadev har har mahadev
5,203,870,272
Step-by-step explanation:
8×3^14×136
=(8)(4782969)(136)
=(38263752)(136)
=5,203,870,272
i think this is the answer
Complete the following equation. Your answers will be algebraic expressions. (a+bi)^2= _____ + 2abiHint: think of i as an ordinary variable and then replace i^2 with -1.
Answers
The given expression is:
\((a+ib)^2\)Expand to get:
\(\begin{gathered} (a+ib)^2=a^2+i^2b^2+2abi \\ =a^2-b^2+2abi \end{gathered}\)The value is as above since it is given that i^2=-1.
So the expansion is:
\((a+ib)^2=a^2-b^2+2abi\)The blank should be:
\(a^2-b^2\)Can anyone help me with this?
Answers
a. The approximate value of the y-intercept is
b. The approximate value of the slope is
c. The expected number of cones of ice cream when the temperature is 30°C is 90°C.
How to determine the y-intercept and slope of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (100 - 60)/(45 - 5)
Slope (m) = 40/40
Slope (m) = 1
At data point (5, 60) and a slope of 1, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 60 = 1(x - 5)
y = x - 5 + 65
y = x + 60
Part a.
Based on the equation above, the y-intercept is equal to 60.
Part b.
Based on the equation above, the slope is equal to 1.
Part c.
In this scenario, the expected number of cones of ice cream when the temperature is 30°C;
y = x + 60
y = 30 + 60
y = 90°C.
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The coordinates of the point
�
N are
(
0
,
4
)
(0,4) and the coordinates of point
�
O are
(
5
,
4
)
.
(5,4). What is the distance, in units, between the point
�
N and point
�
?
O?
Answers
Answer:
Step-by-step explanation:
its is 14
Cost of goldfish: $3.45
Markup: 29%
What is the new cost?
Answers
After the markup in the price, the new cost of goldfish will be equal to $4.45.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Cost of goldfish = $3.45
Markup = 29%
So, the price increase will be,
(3.45 × 29)/100
= 100.05/100
= 1.0005
So, the new price is,
$3.45 + $1.0005
= $4.4505 ≈ $4.45
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Michael is using a number line to evaluate the expression –8 – 3.
After locating –8 on the number line, which step could Michael complete to evaluate the expression?
Answers
The next step that Michael could use to evaluate the expression is count 3 units to the left of -8
Which step could Michael complete to evaluate the expression?The expression is given as
-8 - 3
The first step is given as
Locating –8 on the number line
The other term of the expression is a negative number i.e. -3
This means that Michael needs to count 3 units to the left of the first number
Hence, the next step that Michael could use to evaluate the expression is count 3 units to the left of -8
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Multiple of unit fraction 1/6
Answers
Answer: For instance, if we cut the pie into 6 equal slices, then 1 slice represents 1/6 of the whole pie. In the same way, if we break 1 into 6 equal parts, 1 part represents 1/6 of 1. Unit fractions are 1 part of the number 1. Notice that the more pieces you slice the pie into, the smaller the pieces of pie become.
Step-by-step explanation:
Select the formulas describing the following arithmetic sequence.
3.5, 1.5, -0.5, ...
A. an+1 = an-2, a₁ = 3.5
B. an+1= 5.5 -an, a₁ = 3.5
C. an = 5.5 - 2n, n ≥ 1
D. an = 2n - 3.5, n ≥ 1
Answers
The explicit formula for the sequence is an = 14-6(n-1).Each word in an arithmetic sequence increases by adding or subtracting a certain constant, k.
Choose the formulae that best describe the following arithmetic progression ?Arithmetic sequence.This are sequence that has. a common difference that is the difference between the preceding and sthe explicit formula for the sequence is an = 14-6(n-1) is equal.Each word in an arithmetic sequence increases by adding or subtracting a certain constant, k.
As opposed to a geometric sequence, where each term is increased by dividing or multiplying a certain constant k, this one does not.
A series of numbers in the following format is an arithmetic sequence: a, a + d, a + 2 d, a + 3 d, a + 4 d,...
The common difference between the terms in the series is d, and number an is the first term.
An = a + (n - 1)d gives the nth term of an arithmetic series.
Given the following
a1 = 14
an = an-1 - 6
The nth term of the sequence is expressed as:
An = a+(n-1)d
an = 14+(n-1)(-6)
an = 14 -6n + 6
an = 14-6(n-1)
Hence the explicit formula for the sequence is an = 14-6(n-1).
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In this 45-46-90 triangle , I have been given the length of a leg . How do I find the length of the hypotenuse
Answers
Answer:
nothing actually Iteursitskysjtskydjtsitsitsitskgditdkgd elhsitdlhclufluclydlhcogogjdy
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Sum of the interior angles of any triangle equal 180° .
Thus ;
The angle which facing to the side 4 is 45°.
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Hint :
In a right triangle, the side facing the 45° angle is √2 / 2 times the hypothenuse .
Thus ;
\( \frac{ \sqrt{2} }{2} x = 4 \\ \)
Multiply sides by 2
\(2 \times \frac{ \sqrt{2} }{2} x = 2 \times 4 \\ \)
\( \sqrt{2} x = 8 \\ \)
Divide sides by √2
\( \frac{ \sqrt{2}x }{ \sqrt{2} } = \frac{8}{ \sqrt{2} } \\ \)
\(x = \frac{4 \times 2}{ \sqrt{2} } \\ \)
\(x = \frac{4 \times \sqrt{2} \times \sqrt{2} }{ \sqrt{2} } \\ \)
\(x = 4 \sqrt{2} \\ \)
\(x = hypothenuse = 4 \sqrt{2} \)
Done...
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In the triangle below,
y = [? ] cm. Round to the
nearest tenth.
15 cm
X
35°
909
![In the triangle below,y = [? ] cm. Round to thenearest tenth.15 cmX35909](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/TQbHC7yuPpLQtM7nrdtLBqoWEojFsyPL.png)
Answers
Answer:
12.3
Step-by-step explanation:
You will use cosine to solve for y because you are given the hypontenuse and need to find the adjacent side.
cos 35 degrees = adjacent/hypontenuse
cos 35 = y/ 15
15( cos35 ) = y
y=12.287
=12.3
Find M<1 in the figure below. PQ and RS are parallel
Answers
Answer:
m∠1= 105°
Step-by-step explanation:
The m∠1 and 75° are supplementary angles that sum up to 180°.
The equation here would be: m∠1+75= 180.
Step 1- Subtract 75 to both sides of the equation.
m∠1+75= 180
-75 -75
m∠1= 105
Hope this helps! :)
Answer: The answer would be 105.
Step-by-step explanation:
If you look at the angle's corresponding angle, then you will see that it is right next to angle one. So the angle next to angle one is also 75 degrees because it is the same angle or the corresponding angle to the other one that is 75 degrees. So, together, angle one and the angle next to it should equal 180 degrees. So you subtract 180-75=105. And angle one equals 105.
what is the value of x?
Answers
Answer:
\(\boxed{\sf x = 80}\)
Step-by-step explanation:
A quadrilateral inscribed in a circle has opposite sides equal to 180.
So,
x + x + 20 = 180
2x + 20 = 180
Subtracting 20 from both sides
2x = 180 - 20
2x = 160
Dividing both sides by 2
x = 80
━━━━━━━☆☆━━━━━━━
▹ Answer
x = 80
▹ Step-by-Step Explanation
x + x + 20 = 180
2x + 20 = 180
2x = 180 - 20
2x = 160
x = 80
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
34 miles
30 mph
How much time will it
take for these two
vehicles to meet?
55 mph
[?] hours
![34 miles30 mphHow much time will ittake for these twovehicles to meet?55 mph[?] hours](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/lJao5IqrAPJR8grB8BLa8305HMimCTar.png)
Answers
Answer:
0.4 hours
Step-by-step explanation:
or 24 minutes :D
Noel correctly answers 80% of the questions on a test with
40 questions
How many questions does Noel answer correctly
O 5
08
32
50
Answers
= 32
So answer will be 32
An entrance ticket to a museum is $13.00 per person. If $364.00 is spent in entrance fees, then how many tickets were purchased? Write an equation. What is the constant of proportionality?
Answers
Answer:
28 tickets were purchased
Step-by-step explanation:
364 divided by 13 = 28
Create pattern with the rule n x 2
Answers
Step-by-step explanation:
n×2=?
The n means 1 then. 1×2 series
1 × 2 = 2
What is the solution to this system of equations? Show your work. 46 points
Answers
12 = 1/3x
The first thing you want to do when solving a system of equations is isolating one of the variables.
Since the second equation only contains x, we can isolate x in the first equation.
y - x = 9
y = x + 9
x = y - 9
You can also solve the second equation without any previous solving.
12 = 1/3x
Multiple both sides by 3/1 or 3
x = 36
Now we can set them equal to each other
36 = y - 9
y = 45
Answer: x = 36 and y = 45
Answer:
The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect. To solve a system is to find all such common solutions or points of intersection.
Step-by-step explanation:
Isolate x for 12=1/3x: x=36
[y - 36=9]
the solutions to the system of equation is:
y=45 x=36
Help with the following equation 8x²-6x-5=x
Answers
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
In ATUV, the measure of ZV=90°, TU = 24 feet, and VT = 15 feet. Find the measureof U to the nearest degree.
Answers
The given triangle is a right angled triangle. Using trigonometric function we have,
\(\sin x=\frac{\text{opposite side}}{hypotenuse}\)Here, opposite side is VT = 15 and hypotenuse is, TU = 24.
Substituting the values, we have,
\(\begin{gathered} \sin x=\frac{15}{24} \\ x=\sin ^{-1}(\frac{15}{24})=38.68=39 \end{gathered}\)Thus, x is approximately 39 degrees.
evaluate the expression 81-8^2
Answers
Answer:
17
Step-by-step explanation:
Do the exponent first, then subratct it to 81
Answer:
thats easy 17
Step-by-step explanation: