Answer:
Step-by-step explanation:
tan e = x/(4x-1)
tan f = (6x+5)/(12x + 31)
since tan e = tan f
x/(4x-1) = (6x+5)/(12x+31)
x(12x+31) = (4x-1)(6x+5)
12x^2 +31x = 24x^2 +20x -6x -5
31x = 12x^2 +14x -5
0 = 12x^2 -17x -5
0 = (12x -5)(x -1)
x = 1, 5/12
How do I solve this and check all the solutions?
Answer:
it is -6
Step-by-step explanation:
you convert 71,100,000 into scientific notation?
Which equation has the steepest parabola?
A. (x+2)2=−0.5(y+3)
B. (x−1)2=5(y+3)
C. x2=8(y−1)
D. (x+2)2=−10y
Given:
The equations of parabolas in the options.
To find:
The steepest parabola.
Solution:
We know that, if a parabola is defined as
[tex](y-k)=n(x-h)^2[/tex]
Then, the greater absolute value of n, the steeper the parabola.
It can be written as
[tex]\dfrac{1}{n}(y-k)=(x-h)^2[/tex]
[tex]p(y-k)=(x-h)^2[/tex]
where [tex]p=\dfrac{1}{n}[/tex], the smaller absolute value of p, the steeper the parabola.
Now, find the value of |p| for eac equation
For option A, [tex]|-0.5|=0.5[/tex]
For option B, [tex]|5|=5[/tex]
For option C, [tex]|8|=8[/tex]
For option D, [tex]|-10|=10[/tex]
Since, the equation is option A has smallest value of |p|, therefore, the equation [tex](x+2)^2=-0.5(y+3)[/tex] represents the steepest parabola.
Hence, the correct option is A.
if the first and fifteen terms of A.P. are 8 and -48 respectively, obtain the progression
Answer:
8, 4, 0, -4, - 8, .........
Step-by-step explanation:
The n the term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and a₁₅ = - 48, then
8 + 14d = - 48 ( subtract 8 from both sides )
14d = - 56 ( divide both sides by 14 )
d = - 4
To obtain the progression subtract 4 from each term, that is
8, 4, 0, - 4, - 8, ......
Answer:
8, 4, 0, -4, -8, -12, -16, -20,...
Step-by-step explanation:
Arithmetic Progressions
The general term of an arithmetic progression (A.P.) is:
[tex]a_n=a_1+(n-1).r[/tex]
Where:
a1 = First term
an = Term number n
n = Number of the term
r = Common difference
We are given: a1=8, and a15=-48, n=15. Calculate r:
[tex]\displaystyle r=\frac{a_n-a_1}{n-1}[/tex]
[tex]\displaystyle r=\frac{-48-8}{15-1}[/tex]
[tex]\displaystyle r=\frac{-56}{14}[/tex]
r = -4
We can get the terms of the progression by subtracting 4 to the previous term.
Thus, the first terms of the progression are:
8, 4, 0, -4, -8, -12, -16, -20,...
pls help me
(answer choices)
a: 134
b:46
c:136
d:43
Answer:
i wanna say its 136 but im not completely sure
Choose the expression equivalent to 2^ -2 x
2^5.
Answer:
2³
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , thus
[tex]2^{-2}[/tex] × [tex]2^{5}[/tex] = [tex]2^{(-2+5)}[/tex] = 2³ [ = 8 ]
Which of the following represents the range of the relation below?
{(0, 0), (1, 4), (6, 2)}
{0, 1, 2, 4, 6}
{0, 2, 4}
{1, 6}
{0, 1, 6}
Answer:
{ (0,0),(1,4),(6,2)
Range = {0,2,4}
Question 10
Evaluate 122 – 3 [4 () – (18)].
Answer:
here is the answer -(12)/(-3)
Step-by-step explanation:
PLEASE MARK BRAINILIEST!
Kayla's school is selling tickets to the annual dance competition. On the first day of ticket sales the school
sold 3 senior citizen tickets and 5 child tickets for a total of $70. The school took in $216 on the second day by
selling 12 senior citizen tickets and 12 child tickets. Find the price of a senior citizen ticket and the price of a
child ticket.
Answer:
senior ticket = $10 child's ticket = $8
Step-by-step explanation:
s = senior ticket
c = child's ticket
We need to write 2 equations, and we have 2 unknowns, s and c.
3s + 5c = $70
12s + 12c = $216
First solve for s using the first equation.
3s + 5c = 70 Subtract 5c from each side
3s + 5c - 5c = 70 - 5c
3s = 70 - 5c Divide each side by 3
3s/3 = (70 - 5c)/3
s = [tex]\frac{70 - 5c}{3}[/tex]
Now plug in s into the second equation.
12s + 12c = 216
12([tex]\frac{70 - 5c}{3}[/tex]) + 12c = 216
[tex]\frac{12}{3}[/tex] (70 - 5c) + 12c = 216
4 (70 - 5c) + 12c = 216
280 - 20c + 12c = 216
280 - 8c = 216 Add 8c to each side
280 - 8c + 8c = 216 + 8c
280 = 216 + 8c Subtract 216 from each side.
280 - 216 = 216 - 216 + 8c
280 - 216 = 8c
64 = 8c Divide each side by 8
64/8 = 8c/8
64/8 = c
8 = c
Now plug c into the first equation and solve for s.
3s + 5c = 70
3s + 5(8) = 70
3s + 40 = 70 Subtract 40 from each side.
3s + 40 - 40 = 70 - 40
3s = 70 - 40
3s = 30 Divide each side by 3
3s/3 = 30/3
s = 30/3
s = 10
So a senior ticket costs $10 and a child's ticket costs $8.
What is the next fraction in this sequence?
3/10, 1/4, 1/5,3/20...
Answer:
1/10
I hope this helps!
Answer:
1/10
Step-by-step explanation:
6/20, 5/20, 4/20, 3/20 2/20
Can someone please help me with this question?!
The graph shows the cube root parent function.
Answer: C
Step-by-step explanation:
The function is always increasing
The function is increasing when x>0 for the graph of [tex]y= \sqrt[3]{x}[/tex] as parent function.
What is graph?" The graph is defined as the representation of relation between two variables on the coordinate plane."
According to the question,
Given graph of the cube root parent function
For function [tex]y= \sqrt[3]{x}[/tex]
x = 0 ⇒ y = 0
x = 1 ⇒ y = 1
x = 8 ⇒ y = 2
x = 27 ⇒ y = 3
Therefore, for x>0, function [tex]y= \sqrt[3]{x}[/tex] is increasing.
Hence, Option(D) is the correct answer.
Learn more about graph here
https://brainly.com/question/20381610
#SPJ2
Solve the equation that represents: The difference of five times a number and 6 is -2.
Answer:
5n-6= -2
Step-by-step explanation:
The difference of...... this means its asking us to subtract one number from another number
5 times a number...... that means 5n
6..... since it said DIFFERENCE, it would be -6
is -2........ this means the answer to the equation is -2
So the equation is 5n-6= -2
Hope this helps!
Jordan's dog with p.M. Pounds Emmett apostrophe s dog with 25% more than Jordan star which expression represents the weight in pounds of Emmett apostrophe s dog select all the apply a 0.25 P 1.25 p c p + 0.25 DP + 120.25
Answer: 1.25 p , where p= Weight of Jordan's dog
Step-by-step explanation:
Let p = Weight of Jordan's dog .
Given: Emmett apostrophe's dog with 25% more than Jordan star.
Then, weight (in pounds) of Emmett apostrophe s dog = p +25% of p
= p +0.25 p [We divide a number by 100 to remove %]
= p(1+0.25)
= p(1.25)
=1.25 p
Hence, the expression represents the weight in pounds of Emmett apostrophe's dog=1.25 p
La embotelladora La Pingüica llena de refresco cierta
cantidad de botellas por día. Calcula el número de
botellas llenadas sabiendo que la veinticincoava
parte del cuádruple de ellas menos 5 000 que se
rechazaron equivale a 3 640 de los envases. en lengua algebraico
Answer:
No hablo espanol.
puedes escribir en ingles
Step-by-step explanation:
Please help me out! I can’t do this on my own.
Answer:
y = 6x
Step-by-step explanation:
y = mx + b
Slope (m) = 6/1 up 6, right 1
Y-intercept (b) = 0
NEED ANSWER BY TODAY ( Nov 12, 2020 ) AT 6:30 p.m. ASAP.
The world's future society predicts that by the year 2020, airplanes will be able to carry 1400 passengers. Today's biggest jets carry 600 passengers. What will be the percent of the increase of airplane passengers?
P.S. this is a Percent increase/decrease
from: 600
to: 1400
%/100 = differences of to and from/ from ( before the number )
( no negative difference, bigger number subtract smaller number)
Answer:
133.33333333 percent
the diffrence is 800
Step-by-step explanation:
[(1400 - 600) / 600] × 100%
= 1.3333333333 × 100%
= 133.33333333%
Answer:
133.33% increase
Step-by-step explanation:
This is a percent increase, and to solve for one you need to know the following formula
[tex]|\frac{new~value~-~original~value}{original~value}| *100[/tex]
Plugging it in;
New value = 1400
Old value = 600
[tex]|\frac{new~value~-~original~value}{original~value}|= |\frac{1400-600}{600}| = |\frac{800}{600}| = 1.333333333[/tex]
1.3333333 as a percent is
133.33%
So you have an increase of 133.33%
if f(x)=4^x+4, then calculate f(0)
ok so F (0) should be equaled to = 0
Answer:
f(0) = 5
Step-by-step explanation:
Note that [tex]a^{0}[/tex] = 4
To calculate f(0), substitute x = 0 into f(x), that is
f(0) = [tex]4^{0}[/tex] + 4 = 1 + 4 = 5
find f((1)/(3)) if f(n)=3n
Answer:
1Step-by-step explanation:
Given
f(n) = 3nTo find
f(1/3) =?Substitute n with 1/3 and calculate
f(1/3) = 3*1/3 = 1Answer: The answer is 1 sweetie
Step-by-step explanation: Given
f(n) = 3n
To find
f(1/3) =?
Substitute n with 1/3 and calculate
f(1/3) = 3*1/3 = 1
What's y'all favorite tic tok sound?
Answer:
Laxed (SIREN BEAT)" by Jawsh 685
Step-by-step explanation:
what 901 divided by 3
Answer:
300.33333
Step-by-step explanation:
77th term for -10,-8,-6
9514 1404 393
Answer:
142
Step-by-step explanation:
The first term of this arithmetic sequence is -10. The common difference is -8-(-10) = 2. The n-th term is ...
an = a1 +d(n -1)
an = -10 +2(n -1) = 2n -12
Then the 77th term is ...
a77 = 2(77) -12 = 154 -12
a77 = 142
The 77th term is 142.
Identify the terms, coefficients, and constants of the expression. a^2 + 2 + 7b
Step-by-step explanation:
constant=7
coefficient=2
Y=4x+2
A) Identify the slope (4,-2)
B)Identify the y-intercept:-2
Answer:
4 - slope
2 - y - intercept
Step-by-step explanation:
The equation is in slope-intercept form.
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The '4' is the slope of the equation.
[tex]y=\boxed{m}x+b\\\\y=\boxed{4}x+2[/tex]
The '2' is the y-intercept.
[tex]y=mx+\boxed{b}\\\\y=4x+\boxed{2}[/tex]
Hope this helps.
(ONLY ANSWER THIS IF YOU WANT TO PLAY AMONG US PLEASE I WANT TO PLAY!!!)
Answer:
Whats the code?
Step-by-step explanation:
Ill play with u
Solve -17 = x/-3 for x. x =
Answer:
x equals 51
Step-by-step explanation:
1. Do the inverse operation of x/-3 which is multipulcation.
2. Multiply -17 by -3 to get the answer of 51.
Finish the equation by saying that x = 51, or 51 = x.
Answer:
X=51
Step-by-step explanation:
You would have to multiply 17 by 3.
10x3=30
7x3=21
then you add 30 and 21 which equals 51
PLEASE I NEED HELP ITS URGENT TOO!!!
Answer:
PLEASE I NEED HELP ITS URGENT TOO!!!
figure is made from a part of a square and a part of a circle.
$
This figure
10
a) What is the perimeter of this
figure, to the nearest unit?
Answer:
Step-by-step explanation:
Answer:38
Step-by-step explanation:
Substitution method
3x+2y=15
y=6x
Answer:
x = 1
Step-by-step explanation:
3x +2y = 15
y = 6x
Substitute y for 6x in 3x +2y = 15!
3x + 2(6x) = 15
3x + 12x = 15
Combine like terms
15x = 15
Divide both sides by 15
15x = 15
x = 1
Brainliest is much appreciated!
This is pretty confusing please help!!!!!