Answer:
x = 403
Step-by-step explanation:
We can start off by rewriting the equation as
x - 28 = 375
Next, we can further restate it as
375 + 28 = x
So, all we need to do to find the value of x is add 375 + 28, which is 403
Student Error
The student made the error of rewriting the equation incorrectly.
He/She/They subtracted 28 from 375 instead of adding.
Thus, they got 347
Determine the graph of the equation 16^2 + 16^2 − 16 + 24 − 61 = 0.
Answer:
Enter a problem...
Precalculus Examples
Popular Problems Precalculus Find the Properties 16x^2+16y^2-16x+24y-3=0
16
x
2
+
16
y
2
−
16
x
+
24
y
−
3
=
0
Add
3
to both sides of the equation.
16
x
2
+
16
y
2
−
16
x
+
24
y
=
3
Divide both sides of the equation by
16
.
x
2
+
y
2
−
x
+
3
y
2
=
3
16
Complete the square for
x
2
−
x
.
Tap for more steps...
(
x
−
1
2
)
2
−
1
4
Substitute
(
x
−
1
2
)
2
−
1
4
for
x
2
−
x
in the equation
x
2
+
y
2
−
x
+
3
y
2
=
3
16
.
(
x
−
1
2
)
2
−
1
4
+
y
2
+
3
y
2
=
3
16
Move
−
1
4
to the right side of the equation by adding
1
4
to both sides.
(
x
−
1
2
)
2
+
y
2
+
3
y
2
=
3
16
+
1
4
Complete the square for
y
2
+
3
y
2
.
Tap for more steps...
(
y
+
3
4
)
2
−
9
16
Substitute
(
y
+
3
4
)
2
−
9
16
for
y
2
+
3
y
2
in the equation
x
2
+
y
2
−
x
+
3
y
2
=
3
16
.
(
x
−
1
2
)
2
+
(
y
+
3
4
)
2
−
9
16
=
3
16
+
1
4
Move
−
9
16
to the right side of the equation by adding
9
16
to both sides.
(
x
−
1
2
)
2
+
(
y
+
3
4
)
2
=
3
16
+
1
4
+
9
16
Simplify
3
16
+
1
4
+
9
16
.
Tap for more steps...
(
x
−
1
2
)
2
+
(
y
+
3
4
)
2
=
1
This is the form of a circle. Use this form to determine the center and radius of the circle.
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
Match the values in this circle to those of the standard form. The variable
r
represents the radius of the circle,
h
represents the x-offset from the origin, and
k
represents the y-offset from origin.
r
=
1
h
=
1
2
k
=
−
3
4
The center of the circle is found at
(
h
,
k
)
.
Center:
(
1
2
,
−
3
4
)
These values represent the important values for graphing and analyzing a circle.
Center:
(
1
2
,
−
3
4
)
Radius:
1
image of graph
Let f(x) = 2(x − 1)² + 3 and h(x) = -f(x+3) - 1
Write h in terms of x
f(x+3)
[tex]\\ \sf\Rrightarrow 2(x+3-1)^2+3[/tex]
[tex]\\ \sf\Rrightarrow 2(x+2)^2+3[/tex]
[tex]\\ \sf\Rrightarrow 2(x^2+4x+4)+3[/tex]
[tex]\\ \sf\Rrightarrow 4x^2+8x+8+3[/tex]
[tex]\\ \sf\Rrightarrow 4x^2+8x+11[/tex]
Now
[tex]\\ \sf\Rrightarrow h(x)[/tex]
[tex]\\ \sf\Rrightarrow -f(x+3)-1[/tex]
[tex]\\ \sf\Rrightarrow -4x^2-8x-11-1[/tex]
[tex]\\ \sf\Rrightarrow -4x^2-8x-12[/tex]
[tex]\\ \sf\Rrightarrow 4(-x^2-2x-3)[/tex]
The probability for event A is 0. 3, the probability for event B is 0. 6, and the probability of events A or B is 0. 8. Why are the events not mutually exclusive?.
P(A and B) = P(A) + P(B) - P(A or B)
P(A and B) = 0.3 + 0.6 - 0.8
P(A and B) = 0.1
Because this result is nonzero, the two events A and B are not mutually exclusive. It is possible for the two events to happen at the same time.
Mutually exclusive events always have P(A and B) = 0, which means A and B cannot happen simultaneously.
The probability of A or B equals the probability of A plus the probability of B. so, the event is not mutually exclusive because of the P(A and B) = 0.1, not 0.
Given that,The probability for event A is 0.3, the probability for event B is 0.6,
and the probability of events A or B is 0.8.
We have to find,Why are the events not mutually exclusive?
According to the question,The probability for event A is 0.3, the probability for event B is 0.6,
and the probability of events A or B is 0.8.
P(A) = 0.3
P(B) = 0.8
and P(A∪B) = 0.8
When two events are said to be mutually exclusive when both the events cannot take place simultaneously.
Mutually exclusive events always undergo different outcomes.
These events are also known as disjoint events.
Mutually exclusive events prevent the second event to take place when the first event appears.
The probability of mutually exclusive events follows;The probability of A and B together equals 0,
P(A and B) = 0
The probability of A or B equals the probability of A plus the probability of B,
P(A or B) = P(A) + P(B)
Therefore,
P(A or B) = P(A) + P(B) = 0.3 + 0.6 = 0.9
Here, 0.9 ≠ 0.8
Thus, the events are not mutually exclusive.
Hence, The event is not mutually exclusive because the P(A and B) = 0.1, not 0.
For more details about Probability refer to the link given below.
https://brainly.com/question/14071639
One step equations- solve for "X" or find it. Please help
3x=-12
14x=280
x+6=-5
x+27=125
x-324=760
x-43=35
x/6=-24
x/13=214
26-x=47
-x/3=-998
I know, I always put 100 points, I just like giving extra points :) Merry almost Christmas also!!!
Since these are one-step equations we only have one step.
To solve, these single steps will include the following:
[1] addition (+)
[1] subtraction (-)
[2] division (/ or ÷)
[2] multiplication (* or x)
How do we answer these? We do the opposite of what is shown. If we have addition in 4 + x = 6, we will use subtraction to solve. The numbers one (1) and two (2) above show the "sets" of which we use.
[] 3x = -12
-> -4
We have multiplication so we will divide -12 by 3 for an answer of -4
[] 14x = 280
-> 20
We have multiplication so we will divide 280 by 14 for an answer of 20
[] x + 6 = -5
-> -11
We have addition so we will subtract 6 from -5 for an answer of -11
[] x + 27 = 125
-> 98
We have addition so we will subtract 27 from 125 for an answer of 98
[] x - 324 = 760
-> 1,084
We have subtraction so we will add 324 to 760 for an answer of 1,084
[] x - 43 = 35
-> 78
We have subtraction so we will add 43 to 35 for an answer of 78
[] x/6 = -24
-> -144
We have division so we will multiply 6 by -24 for an answer of -144
[] x/13=214
-> 2,782
We have division so we will multiply 13 by 214 for an answer of 2,782
[] 26 - x = 47
-> -21
We have subtraction so we will add x to both sides to reach the equation 26 = 47 + x
Then, we have addition so we will subtract 47 from 26 to get an answer of -21
[] -x/3=-998
-> 2,994
First, we will move the negative to the bottom of the fraction, which looks like this: [tex]\frac{-x}{3} = \frac{x}{-3}[/tex]
Then, we have division so we will multiply -3 by -998 for an answer of 2,994
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Given that a [] b = b2 + a. Evaluate 2 [] (6[] - 5).
Answer:
963
Step-by-step explanation:
Evaluate 6 | - 5 , then the outside part, that is
6 | - 5 ( with a = 6 and b = - 5 )
= (- 5)² + 6 = 25 + 6 = 31
Now evaluate 2 | 31 ( with a = 2 and b = 31 )
= 31² + 2 = 961 + 2 = 963
Pam and Erin are both planting gardens for their backyards. They want their gardens to be proportional. If pams garden has a length of 16 feet and a width of 12 feet, what length does Erin need if the width of her garden is 21 feet?
Step-by-step explanation:
Pam and Erin want the gardens to be proportional.
proprtional- equal
Pams garden has a length of 16 and width of 12. To find the area of Pam's garden multiply the length by the width.
16×12= 192
Now that we know the area of Pam's garden, we can set up and equation for Erin's garden. Since they have to be equal we know that Erin's garden should equal 192. Thus we solve for the length by dividing the width from the total.
192÷21=9.14
The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equations can be used to model the height as a function of time, t, in hours? Assume that the time at t = 0 is 12:00 a. M. H = 0. 5 cosine (StartFraction pi Over 12 EndFraction t) 9. 5 h = 0. 5 cosine (StartFraction pi Over 6 EndFraction t) 9. 5 h = cosine (StartFraction pi Over 12 EndFraction t) 9 h = cosine (StartFraction pi Over 6 EndFraction t) 9.
The motion of the hour hand of a clock is a periodic motion that repeats every 12 hours.
The equation that can be used to models the height as a function of time, based on the given options, is presented as follows; [tex]\displaystyle \underline{ H = 0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}[/tex]Reasons:
The given parameters are;
The variation of the height of the tip of the hour hand = 9 feet to 10 feet
At t = 0, the time = 12.00 a.m.
Required: The equation that can be used to model the height as a function of time.
Solution:
The general form of the cosine function is presented as follows;
y = a·cos(b·x - c) + d
The amplitude = a
[tex]\displaystyle a = \mathbf{ \frac{Maximum \ value -Minimum \ value}{2}}[/tex]
Therefore;
[tex]\displaystyle a = \frac{10 -9}{2} = 0.5[/tex]
b = The cycle speed
The period, T, is given as follows;
[tex]\displaystyle T = \mathbf{ \frac{2 \cdot \pi}{b}}[/tex]
The period of a block, T = 12 hours
Therefore;
[tex]\displaystyle b = \frac{2 \cdot \pi}{T}[/tex]
[tex]\displaystyle b = \frac{2 \cdot \pi}{12} = \mathbf{ \frac{ \pi}{6}}[/tex]
[tex]\displaystyle d = \mathbf{ \frac{Maximum \ value +Minimum \ value}{2} = \frac{10 + 9 }{2}} = 9.5[/tex]
At t = 0, H = The highest point = 10 ft.
Which gives;
[tex]\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \times 0 -c\right) + 9.5} = 10[/tex]
[tex]\displaystyle cos \left( -c\right) = \frac{0.5}{0.5} = 1[/tex]
-c = arcos(1) = 0
-c = 0
c = 0
The equation is therefore;
[tex]\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}[/tex]
The above equation is the same as; H = 0.5cosine (StartFraction pi Over 6 EndFraction t) + 9.5
Learn more about the cosine function here:
https://brainly.com/question/4458343
https://brainly.com/question/24368105
What is the equation of the line that passes
through the points (3,-1) and (7, 3)?
Answer: y = 1x + -4
Equation of a straight line:
y = mx + b ------(i)
Step by Step Solution:
Step 1: Calculating Slope (m).
m = y2-y1 /x2-x1
m = 3--1 /7-3
m = 4/4
m = 1
Now putting value of m in equation (i)
y = 1x + b -----(ii)
Step 2: Calculating Y-intercept (b).
Lets choose the first point, (3,-1) for calculating y-intercept:
y = mx + b
-1 = 1(3) + b
-1 = 3 + b
-4 = b
b = -4
Now putting value of b in equation (ii)
y = 1x + -4
true or false Canada's indigenous people originally came from Asia
Answer:
True
Step-by-step explanation:
They came from east Asia
I hope this helps!
In a class there are 48 students.the number of girls is 3 times their boys . how many boys and girls are there in the class??please help!
Answer:
12 boys, 36 girls
Step-by-step explanation:
We can use systems of equations to solve this using substitution.
Let b = # of boys in the class
Let g = # of girls in the class
b + g = 48
g=3b
b+(3b)=48
4b=48
b=12
12*3=36
Check:
36+12=48
A shop has a sale that offers 40% off all prices. On the final day, they reduce all sale prices by 30%. Alex buys a hairdryer on the final day.
Work out the overall percentage reduction on the price of the hairdryer.
Answer:
82%
Step-by-step explanation:
They are doing 0.6x with the first sale, then 70% of 0.6x for the second. So, the first sale would be 0.6x, and the second sale would be 0.42x. You subtract them to get 0.18x. So, 0.18x/x=18%. You would pay 18%, and the shop reduced 82%
(4x2 - x - 7) + (2x3 + 6x2 - 11)
Adding polynomials
Answer:
2x3 + 10x2 - x - 18
Step-by-step explanation:
hope this helps! goodluck & enjoy the rest of ur day /or night.
Answer:
(4x2 - x - 7) + (2x3 + 6x2 - 11) Adding polynomials
Step-by-step explanation:
I need help with this question can someone plss help me!!
Answer:
Step-by-step explanation:
Define algebra ? And give some examples..
Answer:
Algebra is a abstract way of thinking about things. We usually see this by defining things we don't know as some sort of symbol (Matter of fact. All of Mathmatics revolves around symbols). It doesn't necessarily have to be a number. I could label some big brown sturdy thing with green stuff on top as a tree which in a mathmatical sense the tree would be the variable and the actual thing would be the thing inside of the variable. But basically it's an abstract way of thinking
Step-by-step explanation:
ASAP HURRY.
A tabletop is shaped like a square with half-circles on two ends.
One side of the square is 0.8 m. To the nearest meter, what is
the perimeter of the tabletop?
won't it be 3.2 because A square has four sides so you multiply 0.8 by 4
The ratio of the measures of the three angles of a triangle is 6:9: 10.
Find the angle measures.
Answer:
Angles are [tex]43.2^0,64.8^0,72^0[/tex]
Step-by-step explanation:
Sum of interior angles of triangle is [tex]180^0[/tex]
The ratio of the measures of the three angles of a triangle is [tex]6:9: 10[/tex]
Hence the angles can be [tex]6x,9x,10x[/tex]
We have
[tex]6x+9x+10x=180\\\\25x=180\\\\5x=36\\\\x=7.2\\\\6x=43.2^0\\\\9x=64.8^0\\\\10x=72^0[/tex]
Angles are [tex]43.2^0,64.8^0,72^0[/tex]
ABC is an isosceles triangle, with ZA being the vertex angle.
If m
i need help asap
Answer:
mC=mA - base angles of an isosceles triangle
mA=68
In triangle QRS the measure of angle RSQ is 50 degrees , and the measure of angle QRS is 37 degrees. What is the measure of angle SQR in degrees?
Answer:
[tex] < rsq + < qrs + sqr = 180 \\ 50 + 37 + < sqr = 180 \\ < sqr = 180 - (50 + 37) \\ < sqr = 180 - 87 \\ = 93[/tex]
I hope it helps you
constant of proportionly in the equation 3y = 2x
Answer:
Divide both sides by 22.
\frac{3y}{2}=x
2
3y
=x
2 Switch sides.
x=\frac{3y}{2}
x=
2
3y
help me asap!!!!!!!!!!!!!
Answer: yes
Step-by-step explanation:
It is because for every x value there is a y and the x value does not repeat to any y values.
Answer:
No because the slope isnt constant, the y changes higher and higher while the x stays constant
Step-by-step explanation:
Hope this helps!:)
The regular price of an item is $150. The item is on sale at a discount rate of 30%.
What is the sale price of the item?
$45
$105
$120
1970
Answer:
$105
Step-by-step explanation:
30% of 150 is 45.
150-45 = 105
Hope that helps
a ______ is a line that is perpendicular to a line segment and intersects the line segment at its midpoint?
Answer:
Perpendicular Bisectors
Step-by-step explanation:
Recall that a perpendicular bisector intersects a line segment at its midpoint and is perpendicular.
Additive inverse of -0.5
Answer:
0.5
Step-by-step explanation:
If you add 0.5 to -0.5, it will equal 0.
A sports tournament has 6 teams. Each team has the same number of players. There are 60 players total. How many players does each team have?
Answer:
10
Step-by-step explanation:
because
60:6=10
every team has the same number of players
(it was an easy proble to solve thats why im typing , so i the app can confirm it as an answer)
bdbdbdndnfkkfkflfllflfkchchdhbdbenrnrnrnnrndndndndnddhjdjs
Answer:
10
Step-by-step explanation:
no. of teams=6
no. of players=60
no. of players in each team=60/6=10
5 : 1/3 in its simplest form
Answer:
15 : 1
Step-by-step explanation:
5 : 1/3
Multiply both numbers in the ratio by 3.
5 × 3 : 1/3 × 3
15 : 1
[tex]5:\frac{1}{3} =5.\frac{3}{1} =\frac{15}{1} <=>15:1 (=15)[/tex]
ok done. Thank to me :>
hey guys!! i need help on this one:)
[tex]\huge\underline\mathtt\colorbox{cyan}{Hope it helps...}[/tex]
Your class is learning to tie knots. Each student needs a piece of rope that is 3/4 yard long. How many yards of rope are needed for the 20 students in your class?
Answer:
15
Step-by-step explanation:3/4*20=15
whats 2x-3=67= pls HELP BRAINLy
Answer:
2x-3 = 67
2x = 67+3
2x = 70
x = 35
Answer:
x= 35
Step-by-step explanation:
I need the answers to a b c and d PLZ DUE AT 11:59PM ITS 9:23PM
Answer:
do u even still need the answer its been aweek since you asked it and it was due that same day
Step-by-step explanation:
Pls help me
4(3-x)=6(x+2)+20
Answer:
x = -2
Step-by-step explanation: