Answers
9514 1404 393
Answer:
12.25 (or -18.75)
Step-by-step explanation:
If you pay attention to the square of a binomial, ...
(x -a)² = x² -2ax +a²
You see that the constant (a²) is the square of half the x-coefficient. That is, the x-coefficient is -2a, half that is -a, and the square of that is (-a)² = a².
In your equation, the x-coefficient is -7, half that is -3.5, and the square of that is 3.5² = 12.25.
So, you can think of this ambiguous question in a couple of ways.
Concern is only with the x-terms:
x² -7x +31 = (x² -7x +12.25) +31 = 12.25 . . . . . . add 12.25 to both sides
(x -3.5)² +31 = 12.25 . . . . write the x-terms as a square
Concern with the equation overall:
You want the end result to have the x-terms in the form of the square ...
(x -3.5)² = x -7x +12.25
The left side of the equation can be put in that form by adding -18.75 to both sides;
x² -7x +31 -18.75 = -18.75 . . . . . . add -18.75 to both sides
x² -7x +12.25 = -18.75 . . . . . . . . . simplify
(x -3.5)² = -18.75 . . . . . . write the left side as a square
__
The short of it is that we're not sure what the question is asking for exactly. The "help video" would probably clarify the intent. Most likely, you're concerned with adding the square of half the x-coefficient, 12.25.
Related Questions
A young entrepreneur wants to set up a lemonade stand at a busy intersection. Customers arrive at a rate of 38 customers per hour according to a Poisson distribution. Customers will be served at the average rate of 58 customers per hour with exponential service times. What is the average utilization rate (%) of the entrepreneur
Answers
Answer:
65.5%
Step-by-step explanation:
Arrival rate, λ = average number of customers per hour = 38
Servive rate, μ = number of customers attended to per hour = 58
Utilization factor, ρ = λ / μ
ρ = 38 / 58
ρ = 0.6551724
Utilization rate (%) = 0.6551724 * 100% = 65.5%
HELP! Urgent! PLZ Needed Now!
Answers
Answer / Explaination:
An equation that represents this problem is b = 52h.
A linear model that represents this equation would look as such (see below)
To predict how many boxes would be produced after an 8 hour shift, you can look at the graph (see additional attatchement) or substitute 8 in for h in the equation.
b = 52(8)
b = 416
Instructions
Write a lesson!
You are going to write/ teach a Math Lesson. Requirements are as follows:
You will select a lesson we learned this year. (approved by teacher) Please explain the lesson fully. Make sure to include the lesson and topic.
You will describe the skills and concepts learned in the lesson detailing steps and using examples.
You will use your own descriptions and terminology of the lesson as you have understood the material.
You may use Power Point or any other method, creativity goes a long way!
Answers
don’t know what type of math you want me to do pls tell me :(
HELLO CAN SOMEONE HELP ME PLOT THIS POINT? TY :)
Answers
It would be at (7,5)
Give the most precise selection
for the quadrilateral with the
following vertices.
P(0,0), Q(2a, 2b), R(20,2b), S(20,0)
Answers
Answer:
I think square
Cause it is having 4 sides and in ur question the were 4 vertuces so i think its a square
Answer:
I think A
a parrallelogram
a cruise ship heads due west from a port 3 miles directly south of San Francisco. If the ship is travelling at a constant rate of 17 mph, how fast is the distance between the ship and san francisco changing 1 hour after leaving port
Answers
Answer:
16.7
Step-by-step explanation:
speed is constant at 17 mph
Distance covered after one hour = 17 miles
Distance between port and San Francisco = 3 miles
Speed at which distance changes 1 hour after leaving port :
r² = 17² - 3²
r² = 289 - 9
r = √280
r = 16.733
= 16.7 (nearest tenth )
The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 4 inches? (5 points) 6 inches 8 inches 12 inches 20 inches
Answers
9514 1404 393
Answer:
12 inches
Step-by-step explanation:
The area is given by the formula ...
A = 1/2bh
Fill in the given values and solve for the height.
24 in² = 1/2(4 in)h
h = (24 in²)/(2 in) = 12 in
The height of the triangle is 12 inches.
Answer:
12 inches
Step-by-step explanation:
Area = [tex]\frac{1}{2}bh[/tex]
24 = [tex]\frac{1}{2} * 4 * h[/tex]
24 = 2h
h = 12 inches
HELLLP PLZZZZ , i need to anwer this quastion is a major grade :((
Answers
Answer:
I think it might be C but I dont know . Hope its right !
Step-by-step explanation:
One pipe can fill a swimming pool in 10 hours, while a second pipe can fill the pool in 6 hours. If the second pipe is turned on 2 hours after the first, how long will it take to fill up the pool?
Answers
Answer:
6 4/5 hours
Step-by-step explanation:
If one pipe can fill the pool in 10 hours, then it can fill 1/5 of the pool in 2 hours.
If two pipe's can fill the pool in 6 hour's, then it can fill 1/5 of the pool 1 1/5 hours.
So:
6-1 1/5=4 4/5
4 4/5+2=6 4/5
Please look at the image
Answers
Answer: ok i did :)
Step-by-step explanation: how are you?
Mr. Rawlins graded 11 students' tests with the following results. 88, 76, 81, 92, 95, 65, 77, 86, 90, 88, 83 A box and whisker plot of these scores would show that 25% of the students earned a score greater than or equal to what number?
Answers
Answer:
90
Step-by-step explanation:
min is 65
median is 86
quartile 1 is 77
quartile 3 is 90
max is 95
highest 25% of data resides between quartile 3 and max
Evaluate the expression for x = 2, y =-1, and z = 4.
Answers
x+y=11
x-y=-5
Please anyone help?
Answers
Answer:
3,8
Step-by-step explanation:
you can use the app photo math. just take a picture and you will get your answer
Answer:
[tex]x=3[/tex]
[tex]y=8[/tex]
Step-by-step explanation:
The process of elimination is a method of solving a system of equations. This process includes manipulating a system of equations such that one variable present in both equations has its coefficients as additive inverses. When one adds the equation, this variable will cancel, one can solve for the other variable using inverse operations, and then back solve for the eliminated variable.
[tex]\left \{ {{x+y=11} \atop {x-y=-5}} \right.[/tex]
As one can see, the coefficients of variable (y) are already additive inverses of each other (1), (-1), therefore, one can add the systems right away.
[tex]\left \{ {{x+y=11} \atop {x-y=-5}} \right.[/tex]
[tex](x)+(y)+(x)+(-y)=(11)+(-5)[/tex]
Simplify,
[tex]2x=6[/tex]
Inverse operations,
[tex]x=3[/tex]
Backsolve for (y), substitute the value of (x) into one of the original equations to find the value of (y),
[tex]x+y=11\\[/tex]
Substitute,
[tex](3)+y=11[/tex]
Inverse operations,
[tex]y=8[/tex]
Answer quick please :)
Answers
Find the equation of the line passing through (2, -1) and parallel to
Y=-3x - 1.
Answers
The box above is 15 centimeters long,
4 centimeters wide, and 3 centimeters tall. What is the length of the diagonal s of the bottom side?
O:44 cm
O:14.5 cm
O :15.5 cm
O :19 cm
Answers
Answer:
It should be b(14.5), or c
Step-by-step explanation:if you think about it its like the same length for the top of the box
What is the value of z?
No links please!!
Answers
9514 1404 393
Answer:
z = 14.4
Step-by-step explanation:
The angle bisector divides the sides proportionally.
z/12 = 6/5 . . . . . . . . . write a proportion*
z = 12(6/5) = 72/5 . . . . . multiply by 12
z = 14.4
_____
* We consider the proportion easier to solve if the unknown is in the numerator. Then the solution is found by multiplying the equation by that denominator.
1.What is (f-g)(x) ?
f(x)=x^4-3x^2+5x-7
g(x)= x^3-3x^2+3x-1
Answers
Answer:
that my answer
brainlist me
What is the value of x?
Answers
Answer:I cant see anything
Step-by-step explanation: laptop is too cracked
Find h(3) using the graph
Answers
Answer:
h(3) = 2
Step-by-step explanation:
h(3) -- "h of 3" -- is asking for the value of the function at x = 3. Go to 3 on the x-axis, then go up to the graph. Look at the y-coordinate of the point (see the attached image).
PLZ HELP I WILL GIVE BRAINLIEST ANSWER EACH QUESTION PLZ THANKS!!!!!!
Answers
Answer:
1. 12
2. 18
3. 2
4. 10
5. 8
6. 1
7. 12
8. 81
Step-by-step explanation:
Numerator and denominator have to be multiplied by the same number
For the 1st one
4 * 4 = 16
Therefor multiply 3 *4 = 12
Number 2
3 * 9 = 27
Therefor muliply 2 * 9 = 18
Mi mamá Rosa Amelia, asistió al Hospital cercano a su casa, luego de hacer atendida, el medico tratante le dio tres tipos de pastillas que tomar;la pastilla rojas cada 12 horas, la pastilla amarilla 8 horas y la pastilla blanca cada 7 horas. Si empieza a tomarse la pastilla en el día de hoy a las 12:00 del mediodía Cuándo volverá a tomarse cada pastilla otra vez?
Answers
Answer:
La próxima pastilla roja será a las 12:00 a.m.
La próxima pastilla amarilla será a las 8:00 p.m.
La próxima pastilla blanca será a las 7:00 p.m.
A carpenter purchased 50 ft of redwood and 80 ft of pine for a total cost of $277. A second purchase, at the same prices, included 90 ft of redwood and 60 ft of pine for a total cost of $381. Find the cost per foot of redwood and of pine.
Answers
Answer:
Let R = cost per foot of redwood, and
let P = cost per foot of pine.
The 1st sentence gives us 60 ft * R + 90 ft * P = $303, and
the 2nd sentence gives us 90 ft * R + 60 ft * P = $357.
So this is two equations and two unknowns, so we should be able to solve these.
Solve the first equation for P: 60 ft * R + 90 ft * P = $303
Subtract 60 ft * R from both sides of the equation: 90 ft * P = $303 - 60 ft * R
Now divide both sides of the equation by 90 ft: P = ($303 - 60 ft * R) / 90 ft = $101 / 30 ft - 2/3 * R
Next, substitute P into the second equation: 90 ft * R + 60 ft * P = $357
so we then have 90 ft * R + 60 ft * [$101 / 30 ft - 2/3 * R] = $357.
Now solve for R (remember, parentheses, exponents, multiplication and division, addition and subtraction):
90 ft * R + [$202 - 40 ft * R] = 50 ft * R + $202 = $357, or 50 ft * R = $155; so R = $155 / 50 ft = $3.10 / ft.
Now we can substitute this value for R into the first equation and solve for P: 60 ft * R + 90 ft * P = $303
so we then have 60 ft * $3.10 / ft + 90 ft * P = $303, or $186 + 90 ft * P = $303.
Subtracting $186 from both sides of the equation, and then dividing by 90 ft, we have P = $1.30 / ft
So P = $1.30/ft, and R = $3.10/ft.
To check this answer, plug both into the second equation:
90 ft * R + 60 ft * P = $357
90 ft * $3.10/ft + 60 ft * $1.30/ft = $279 + $78 = $357
Solve for x 8-2x = 5( x4)
Answers
If p = -6, what does p + 4 equal?
Answers
Answer:
-2.
Step-by-step explanation:
p + 4 with p being -6 is basically -6 + 4, which equals -2.
Answer:
-2
Step-by-step explanation:
-6 + 4 = -2
The center of a circle is at (4,-3) and it’s radius is 3 units, which point lie on the circle
Answers
Answer:
Any set of (x , y) whose distance from (4, -3) is 3 units lies on the circle.
Step-by-step explanation:
To find the distance , use the formula
[tex]distance = \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}[/tex]
If distance < 3, (x, y) lies inside the circle.
If distance > 3, (x, y) lies outside the circle.
If distance = 3 (x, y) lies on the circle.
The FDA is testing a new ointment designed to deliver 3.5 micrograms of active ingredient to each square centimeter of skin. Nine(9) subjects apply the ointment and then six hours later that amount of drug absorbed by the skin is measured. To determine if there is enough evidence that the mean amount of drug absorbed is different from 3.5 micrograms at the α=0.01 significance level, we would need to compare our test statistic to what critical
Answers
Answer:
t(c) = 3.355
Step-by-step explanation:
We assume a normal distribution, and with sample size n = 9 we should follow a t -student test on both tails since the FDA is interested in determining if the amount of drug absorbed is different from 3.5 micrograms.
Therefore if α = 0,01 that means that confidence interval is 99 % or 0,99
Finally with α/2 = 0,005 and 8 degrees of freedom we find in t-student table t(c) = 3.355
Hannah drove at a rate of 750 km in 9 hours. If Hannah drives at a
constant speed, about how many hours will it take her to drive 175 km?
Answers
Answer:
Step-by-step explanation:
let u=(5 -12) and c=-3 what is cu?
a)39
b)-39
c)21
d)51
Answers
5-12. = -7
-7 *-3= 21
Answer:
C) 21
Step-by-step explanation:
5-12=-7
cu=(-3)(-7)=21
Helppp Pleaseeeee???
Answers
Answer:
Prism A
Step-by-step explanation:
5 times 4 times 4 is 100
7 times 3 times 3 is 63
The difference is 17