Find the solution to the following system using substitution or elimination:
y = -x + 10
y= 7x+ 2
O A. (1, - )
O B. (1,9)
O C. (,1)
O D. (9,65)
Answer:
B
Step-by-step explanation:
y = - x + 10 → (1)
y = 7x + 2 → (2)
Substitute y = 7x + 2 into (1)
7x + 2 = - x + 10 ( add x to both sides )
8x + 2 = 10 ( subtract 2 from both sides )
8x = 8 ( divide both sides by 8 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for y
Substituting into (2)
y = 7(1) + 2 = 7 + 2 = 9
solution is (1, 9 ) → B
Which geometric series converges? StartFraction 1 Over 81 EndFraction StartFraction 1 Over 27 EndFraction one-ninth one-third ellipsis 1 one-half one-fourth one-eighth ellipsis Sigma-Summation Underscript n = 1 Overscript infinity EndScripts 7 (negative 4) Superscript n minus 1 Sigma-Summation Underscript n = 1 Overscript infinity EndScripts one-fifth (2) Superscript n minus 1.
The geometric series that converges from the listed option is [tex]1+\frac{1}{2} + \frac{1}{4} +\frac{1}{8} ,...[/tex] Option B is correct.
The nth term of a geometric sequence is expressed as;
[tex]a_n=ar^{n-1}[/tex]
a is the first term of the sequencer is the common ration is the number of terms.For a geometric sequence to converge, the modulus of its common ratio must be less than 1 (|r| < 1), otherwise, it diverges.
For the first series given as [tex]\frac{1}{81} + \frac{1}{27} +\frac{1}{9} +\frac{1}{3}+ ,...[/tex]
[tex]r = \frac{1}{27} \div \frac{1}{81}\\r=\frac{1}{27} \times 81\\r=\frac{81}{27} \\r=3 > 1[/tex]
Since the common ratio of the sequence is greater than 1, hence the series diverges.
For the series [tex]1+\frac{1}{2} + \frac{1}{4} +\frac{1}{8} ,...[/tex]
[tex]r=\frac{1/2}{1} =\frac{1/4}{1/2} = \frac{1}{2}[/tex]
Since the common ratio of the sequence is less than 1, hence the series converges.
Learn more on convergence of series here: https://brainly.com/question/14294471
Cost to cross the bridge(one-way): Truck (2 or 3 axles): $3.00 Truck (4 or 5 axles): $6.25 Truck (6 or more axles): $10.00. One morning, 3 trucks, each with 5 axles, and 1 truck with 8 axles, crossed the bridge in one direction. write a math problem and solve it to answer. HOW MUCH WAS THE TOLL FOR THE CROSSING OF THE BRIDGE.
Truck (2 or 3 axles): $3.00
Truck (4 or 5 axles): $6.25
Truck (6 or more axles): $10.00
Day1= 3 trucks with 5 axles and 1 truck with 8 axles passed the bridge
What we need to find:
Part a: an expression that represents the first passing of the 4 trucks and
a solution to the the first expression
Part b: a modification of first expression that includes the return passing of the 4 trucks and a solution for the trucks passing both times.
Part a:
3(6.25)+1(10.00)
3(6.25)+1(10.00)=$28.75
Part b:
2[3(6.25)+1(10.00)]
2[3(6.25)+1(10.00)]=2[28.75]=$57.50
The total bill was 56.25. how much would the bill be if 7 % tax was added
Solve for w.
-3(-8w+1) -w=5(w-1)-1
Simplify your answer as much as possible.
W =
Answer:
W = - 6
Step-by-step explanation:
-3(-8w+1) - w = 5(w-1) - 1 -> (Original equation)
24w - 3 - w = 5w - 5 - 1 -> (Expanded version)
23w - 3 = 5w - 6 -> (Simplified version)
18w - 3 = - 6 -> (Subtract 5w from both sides)
18w = - 3 -> (Add 3 to both sides)
w = 18/-3 which is - 6 -> (Doing 18/-3)
-salary of £1410
-26% of the total profit the company makes from her sales
Answer:
I'm not sure what the question is actually asking but 26% of the profit is 366.60
Step-by-step explanation:
if u subtract the profit, u have 1043.40 remaining
3(x+3/4+5-x/4-x/6)=10
3(x+3-4+5-x-4-x-6)=10
-3x/-3= -28/3
x= -28/3
What is 22.6% of 65
Answer:
14.69
Step-by-step explanation:
22.6% = 0.226
65 × 0.226 = 14.69
1. Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth.
7,3, 2, 1, 13, 8, 1, 5, 14, 11, 15
ANSWERS
A.
mean=6.7, median =7,mode=8
B.
mean=7.3, median =8,mode=1
C.
mean=7.3, median =7,mode=1
D.
mean=6.7,median =7,mode=1
Answer:
C.
Step-by-step explanation:
7,3, 2, 1, 13, 8, 1, 5, 14, 11, 15
Write them in ascending order:
1, 1, 2, 3, 5, 7, 8, 11, 13, 14, 15.
The mean = sum of the numbers / 11
= 80/77
= 7.3.
The median = the middle number
= 7.
The mode = the number which occurs most
= 1.
You went to a carnival. Each ride cost $2.50. Let n represent the
number of rides.
I seriously don’t understand please help
Answer:
Me two I'm dum lol I think it 2× 9=18 in to 0 go 0 times
A bakery made 24 cherry pies, using 114 cherries for each pie. They threw away 35 cherries that were bad. If they used all the cherries they had, how many cherries did they start off with?
Answer:
2,771
Step-by-step explanation:
24 x 114 = 2736 + the 35 they threw away = 2,771
What is the slope of the line through (6,9)(6,9)left parenthesis, 6, comma, 9, right parenthesis and (7,1)(7,1)
Answer:
-8
Step-by-step explanation:
I don't really have an explenation
Answer:
y = -8x + 57
Step-by-step explanation:
hope this helps! :)
Write the equation of the line that passes through the point -3,4 and slope of 6
What is the solution to the system of equations?
Answer:
(-2, 5/3)
Step-by-step explanation:
Substitute x with -2 and solve
y = 2/3(-2) + 3
Multiply 2/3 and -2
y = -4/3 + 3
Add
-4/3 + 3 = 5/3
y = 5/3
Final answer:
(-2, 5/3)
Find the number of hours worked from 7:34 A.M.
to 11:48 A.M., assuming pay is for full quarter-
hours.
Answer:
3 hours
Step-by-step explanation:
If pay is for full quarter hours, then the worker won't get paid for work intervals of less than 15 minutes.
Subtract 7:34 from 11:48: we get 3:14 hours. Because the 14 minutes is less than the 15 minutes of a full quarter hour, the worker won't get paid for those 14 minutes.
So the 'number of hours worked' is 3 hours.
Note that 3:14 would be 3 hours 14 minutes.
Maggie has a collection of 1,200 Pennies. Of these, 25% are dated before 1980, 35% are dated from 1980-2000.and the rest are dated after 2000
How many pennies in Maggie's collection are dated after 2000?
A 480 B 720 C 40 D 60
Answer:
A- 480
Step-by-step explanation:
First, I'm going to work out 25% of 1200 for the before 1980 pennies.
10% = 120
20% = 240
5% = 60
240 + 60 = 300 pennies before 1980.
Next, work out 35% of 1200 instead.
20% = 240
+ 10%
30% = 360
+ 5% = 60
35% = 420 pennies from 1980-2000
Finally, work out how many pennies are leftover.
300 + 420 = 720
1200 - 720 = 480
A is the answer.
Hope this helps and have a good day!
what are the different types of geometric constraints that are applied to sketches, and what are their functions?
Which of the following functions is graphed below?
Answer:
D is the correct answer
Step-by-step explanation:
Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven.
Part A
Let m = the number of miles Mr. Parker drives for the day. Choose the expression that shows the amount he will pay for the van.
A. 50m + 0.35 B. 0.35 + m + 50 C. m(0.35 + 50) D. 50 + 0.35m
Part B
Evaluate the expression you wrote to find the amount Mr. Parker will pay if he drives 80 miles.
Enter your answer in the box.
$
Answer:
Part A is D and part B is 78
Step-by-step explanation:
for part b 80 x0.35 is 28
28+50 is 78
help quick please
given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=920(1.05)^x
Answer:
Growth
Step-by-step explanation:
since the (1.05) is bigger than 1 it is growth but if it was lower then 1 it would be decay .
The exponential function represents the growth and the percentage rate of increase is 5%
What is an exponential function?The formula for an exponential function is f (x) = aˣ, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.
Given exponential function y = 920(1.05)ˣ
since the base value of the function is greater than 1 then the function shows growth.
for the rate of increase,
let x = 0 for the initial value
y = 920(1.05)ˣ = 920(1.05)⁰ (a⁰ = 1)
y₀ = 920
now x =1
y = 920(1.05)ˣ = 920(1.05)¹
y₁ = 966
percent increase = 100(y₁ - y₀)/y₀
percent increase = 100(966 - 920)/920
percent increase = 100 x 0.05 = 5%
Hence the growth of function at the rate of 5%.
Learn more about exponential function;
https://brainly.com/question/14355665
#SPJ2
PLEASE HELP ASAP 40 points Solve -2/3x > 8 or -2/3x < 4. {x | x > -12 or x < -6} {x | -12 < x < -6} {x | x < -12 or x > -6}
9. Change the given equation to the form y = mx + b. Give the values of b and m.
x + 4y = 16
B=
M=
Find the angle measure of MP
Answer:
arc MP = 88°
Step-by-step explanation:
The measure of the inscribed angle MQP is half the measure of its intercepted arc MP , then
arc MP = 2 × ∠ MQP = 2 × 44° = 88°
Х
0
1
9
5
29
Y
4
What is the slope of the line?
A 3
B 2
C 5
U UN W
D
Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (5, 29) ← 2 ordered pairs from the table
m = [tex]\frac{29-4}{5-0}[/tex] = [tex]\frac{25}{5}[/tex] = 5 → C
I FORGOT TO PUT THE ANSWERS SORRY PLEASE HELP
Answer:
Step-by-step explanation:
Circumscribed means written around the outside. -scribe means writing and
think of how circumference is the distance around the outside of a circle. It is a little more special and specific...all the segments that make the triangle are tangents to the circle, that is, they only touch the circle at one point.
So the circle is inscribed-- that is, written inside of the triangle (in the same, special specific way).
Circle A is inscribed in triangle RST.
Answer:
Inscribed
Step-by-step explanation:
What is polygon inscribe?
When a polygon is inscribed inside another polygon it is called polygon inscribe.Here Circle A is drawn inside ∆RST so it's inscribed.What is 7/4+2/3
I can’t find the answer pls help
Answer:
2.41666666667
Step-by-step explanation:
2.41666666667 is the answer because of the additon. Just convert it.
2.41666666667 as a fraction equals 241666666667/100000000000.
Answer:
7/4 + 2/3 = 2 5/12
Step-by-step explanation:
What is 7/4 plus 2/3?
FractionCalculator
It can sometimes be difficult to add fractions, such as 7/4 plus 2/3.
But it's no problem! We have displayed the answer below:
7/4 + 2/3 = 2 5/12
How did we solve the problem above? When we add two fractions, such as 7/4 + 2/3, we make sure that the two denominators are the same and then we simply add the numerators.
In cases where the denominators are not the same, we find the lowest common denominator and adjust the fractions to keep them.
6 × 2 = ?
5 - 3 = ?
~~~~~~~~~~~
Hi i'm from Indonesian
Answer:
12
2
answer
hope it helps
what id the limit of this function? f(x)=2x4+5x3−2x+12
Your math problem
(==)=24=+53−2+12
f(x)=2x^{4}+5x^{3}-2x+12
Find solutions on the
Find the equation of a line perpendicular to y= 3x + 7 that passes through the
point (9,-7).
Answer:
[tex]y=-\frac{1}{3}x-4[/tex]
Step-by-step explanation:
To find the slope perpendicular to this, take the negative reciprocal of the slope. Basically, invert both the fraction and the negative/positive so that 3 becomes -1/3.
Now, using the new slope and the given point, we can find the y-intercept. Plug the 3 known variables into the equation:
[tex]y=mx+b\\-7=(-\frac{1}{3})(9)+b[/tex]
Then, solve for b:
[tex]-7=-3+b\\-4=b\\b=-4\\[/tex]
Finally, with both the slope and the y-intercept, you can write the equation of the line:
[tex]y=-\frac{1}{3}x-4[/tex]