Answer:
is the graph of y=-2x-1
The equation of line which is parallel to given line is , [tex]y=-\frac{1}{2}x-1[/tex]
Option H is correct.
Equation of line :Given line is passes through points [tex](-4,6)[/tex] and [tex](4,2)[/tex]
Slope of given line is,
[tex]Slope=\frac{2-6}{4+4}=-\frac{1}{2}[/tex]
Since, all parallel lines have the same slope.
So that, slope of line parallel to given line is also equal to [tex]-\frac{1}{2}[/tex]
Equation of required is,
[tex]y=-\frac{1}{2}x+c[/tex]
Since, line passes through point [tex](0,-1)[/tex]
So that, [tex]c=-1[/tex]
Equation of required line become, [tex]y=-\frac{1}{2}x-1[/tex]
Learn more about the equation of line here:
https://brainly.com/question/18831322
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,...
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:
pls help me
(answer choices)
a: 134
b:46
c:136
d:43
Answer:
i wanna say its 136 but im not completely sure
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.
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.
How do you know whether an ecuation is an identity? How many solutions does an identity have? Explain
Choose the correct answer below
O, A. An equation is an identity w it can be rewitten as an equation of the form"variable = ruumiker, such as x=5 or y=3. Such an equation has an infinite
number of solutions because a variable can be any number
OB. An equation is an idersity it can be rewritten as an equation of the form "variable = number," such as x=5 or y=3. Such an equation has only one solution,
and the solution is called the identity of the variable
OC. An equation is an identity #it can be rewritten as 0-0. Such an equation has only one solution, 0, and that is the identity of the variable
OD. An equation is an identity if it can be rewritten as 0 =0. Such an equation has an infinite number of solutions because it reduces to a true statement
regardless of the value of the variable
Answer: D. An equation is an identity if it can be rewritten as 0 =0. Such an equation has an infinite number of solutions because it reduces to a true statement regardless of the value of the variable.
Step-by-step explanation:
For an identity equation ; The value on the right and left hand side of the equation are equal :
Left hand side = Right hand side
The solution to an identity solution is infinite because the equation holds true for every value substituted for the variable.
Hence, for every value substituted in for the variable in the equation, the equation is a true statement.
PLEASE HELP!!!!
2. Toss 4 times Imagine tossing a fair coin 4 times . (a ) Give a probability model for this chance process . (b) Define event B as getting exactly three tails . Find P(B)
Answer:
If a coin is tossed 4 times; number of possible outcomes = (2^4) = 16. 3 heads and 1 tail can occur from 4 tosses in (4C3)*(1C1) = 4*1 = 4 ways. So, the probability = (4 / 16) = (1 / 4) = 0.25.
i didnt really understand the question but hope this helps
According to the information given, we have that:
a) A binomial model with [tex]p = 0.5[/tex] and [tex]n = 4[/tex] should be used.b) P(B) = 0.25.For each coin, there are only two possible outcomes, either it is heads, or it is tails. The result of the flip of a coin is independent of any other flip, hence, the binomial distribution is used to solve this question.
Binomial probability distribution[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.Item a:
The coin is tossed 4 times, hence [tex]n = 4[/tex].It is a fair coin, hence equally as likely to be heads and tails, which means that [tex]p = 0.5[/tex].Hence, a binomial model with [tex]p = 0.5[/tex] and [tex]n = 4[/tex] should be used.
Item b:
P(B) is P(X = 3), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25[/tex]
Hence, P(B) = 0.25.
To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377
There are 80 tickets in a bag and the ratio of winning tickets to losing tickets is 2 : 8. How many of each kind of ticket are in the bag?
Given:
Total number of tickets = 80
Ratio of winning tickets to losing tickets is 2 : 8.
To find:
The number of tickets of each kind in the bag.
Solution:
Let the number of winning and losing tickets are 2x and 8x respectively.
Total number of tickets = 80
[tex]2x+8x=80[/tex]
[tex]10x=80[/tex]
Divide both sides by 10.
[tex]x=\dfrac{80}{10}[/tex]
[tex]x=8[/tex]
Now,
Winning tickets : [tex]2(8)=16[/tex]
Losing tickets : [tex]8(8)=64[/tex]
Therefore, the winning and losing tickets are 16 and 64 respectively.
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
How would I Graph y = -3/2x - 3
Answer:the slope is negative is the one with the x , -3/2 so that means the top of the line points to the top left
Start with -3 which on the y axis start on -3 go down thats the first dot point then do slope which is -3 down /2 right the opposite start again on -3 on the y go up 3 and 2 to the left connect points
Step-by-step explanation:
you convert 71,100,000 into scientific notation?
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!
Identify the terms, coefficients, and constants of the expression. a^2 + 2 + 7b
Step-by-step explanation:
constant=7
coefficient=2
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}
70.2 x 10
6.702 x 10?
7.02 x 100
7.02 x 10?
Answer:
70.2 x 10=702.
6.702 x 10=67.02
7.02 x 100=70.2
7.02 x 10=70.2
Step-by-step explanation:
I hope this help! :)
What is the inverse of f(x)=(x+2)^3
Answer:
[tex]f^{-1} (x)=\sqrt[3]{x} -2[/tex]
Step-by-step explanation:
Answer:
f − 1 ( x ) = 3 √ x − 2
A department store buys 500 shirts at a cost of $13,500 and sells them at a selling price of $30 each. Find the percent markup.
Answer:
5.5% hope this helps have a great day!
Step-by-step explanation:
Answer:
450
Step-by-step explanation:
i think if you do 13,5000 divided by 30 you get 450 thats why im saying 450
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 number does Not represent 4.701
Answer:
4.702 does not represent 4.701
Step-by-step explanation:
#teamtrees #WAP (Water And Plant)
Answer:
WHAT ARE THE NUMBERS?
Step-by-step explanation:
YOU DIDNT WRITE THEM
what 901 divided by 3
Answer:
300.33333
Step-by-step explanation:
Question 10
Evaluate 122 – 3 [4 () – (18)].
Answer:
here is the answer -(12)/(-3)
Step-by-step explanation:
PLEASE MARK BRAINILIEST!
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:
Hey I am super confused about the equation below. plzz help!!!
Answer:
50.
Step-by-step explanation:
12 x 45 = 540. 45 + 5 = 50.
Hi if someone can please help me answer the top one I will mark u brainliest
Answer:
D) [tex]1\frac{21}{40}m^2[/tex]
Step-by-step explanation:
We can first change the area of his garden into an improper fraction:
[tex]7\frac{5}{8} m^2 = \frac{61}{8}m^2[/tex]
Since Eric wants to split his garden into five equal sections, we divide the area of his garden by [tex]5[/tex]:
[tex]\frac{61}{8}\div 5 = \frac{61}{40}[/tex]
[tex]=1\frac{21}{40}m^2[/tex]
∴ The area of each new section is [tex]1\frac{21}{40}m^2[/tex]
Hope this helps :)
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!
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%
Can anyone help me with this algebra problem ?
Answer:
a
Step-by-step explanation:
Answer:
y=mx+b is the form in which these equations are. B represents the y intercept and M is the slope
currently to find slope we need to get y alone on the left side of the equation for all the answers:
A.y-4=3(x-2) -----> y-4=3x-6 (i also distributed) ----> y=3x-2
B. y+4=-3(x+2)----> y+4=-3x-6 -------> y=-3x-10
C. y-2=-3(x-4) --------> y-2=-3x+12 ------> y=-3x+14
D. y-4= -3( x-2) --------> y-4= -3x+6 ---------> y=-3x+10
All of these equations except A have a slope of -3 so A is already out and to find which one is valid we need to plug in the point (2, 4) for each of the equations
B. 4=-3(2)-10 ------> 4=-6-10----> 4=-16- not valid
C. 4 =-3(2)+14 -----> 4=-6+14------>4=8 not valid
D. 4=-3(2)+10 ----->4=-6+10 ------> 4=4 - Valid
Only D is correct
Step-by-step explanation:
Draw the image 1/2 turn counter clockwise. (Please Help Me at this question will give uh brainliest)!!!
Answer:
Step-by-step explanation:
Without the picture of the arrow I can't give an accurate answer. But, I'll try.
If the arrow is pointing like this -----> half turn counter clockwise should be with it pointing up.
If the arrow is pointing up, it should look like this <-----.
Do you get the idea?
Please help.
Solve:
n/2 - 10=6
((Show work))
*Sorry I forgot how to do this, and please answer this correctly*
Answer:
32
Step-by-step explanation:
(n/2) − 10 = 6
Add 10 to both sides.
n/2 = 16
Multiply both sides by 2.
n = 32
Answer:
n=32
Step-by-step explanation:
n/2 - 10=6
add 10 on both side
n/2 +10-10=6+10
n/2=16
multiply both side by 2
n/2×2=16×2
n=32
What is the slope of this graph?
Answer:
-1
Step-by-step explanation:
It's going down so it's a negative, and it's going down one square unit at a time so just 1.