Answer:
The solution(s) to a system of equations is the point(s) of intersection.
To find the solution, equate the equations and solve for x to find the x-coordinate:
[tex]\implies f(x)=g(x)[/tex]
[tex]\implies 3x+2=[x-1]+1[/tex]
[tex]\implies 3x+2=x[/tex]
[tex]\implies 2x=-2[/tex]
[tex]\implies x=-1[/tex]
Now substitute the value of x into one of the equations to find the y-coordinate of the solution:
[tex]f(-1)=3(-1)+2=-1[/tex]
So the solution to this system of equations is (-1, -1)
Therefore, (1, 5) is NOT a solution to the system of equations.
Let's check
[tex]\\ \rm\rightarrowtail y=3x+2[/tex]
Put (1,5)[tex]\\ \rm\rightarrowtail 5=3+2[/tex]
[tex]\\ \rm\rightarrowtail 5=5[/tex]
Verified
And
[tex]\\ \rm\rightarrowtail y=[x-1]+1[/tex]
[tex]\\ \rm\rightarrowtail 5=1-1+1[/tex]
[tex]\\ \rm\rightarrowtail 5\neq 1[/tex]
No
I really need some help. Serious and correct answers please I appreciate it.
Answer:
A. You need to draw a straight line that increases from left to right. Try and get the same amount of plots on the top and bottom of the line and go through one or two of the plots. Don't connect the dots, though.
B. This scatter plot demonstrates a positive association between a person's height and weight because the trendline increases from left to right. According to this data, as weight increases, so does height. The more someone weighs, the more likely they are to be tall.
What is the solution to Negative three-fourths x + 2 less-than-or-equal-to negative 7?
x greater-than-or-equal-to negative 12
x greater-than-or-equal-to 12
x less-than-or-equal-to 12
x less-than-or-equal-to negative 12
Answer: -3x/4 + 2
Step-by-step explanation:
multiply 3/4x and 3x/4
Answer:
its b
Step-by-step explanation:
may i also please get brainliest
Explain how you can multiply 4($5.97) without paper or calculator by thinking of $5.97 as 6−0.03 and then using the distributive property.
Answer:
you can can answer with mental math
for ex. 4 x 97 can be broken into 4 x 7 + 4 x 9
and the 5 dollars could be 4 x 5 add them up and your answer should be right
By using distributive property of multiplication over subtraction we got 4 (5.97) = 23.88 without actually multiplying 4 (5.97) .
What is distributive property of multiplication?This property states that when a number is multiplied by addition/subtraction of two number is same as multiplying this number with both the numbers individually and then adding/subtracting them.
let a, b, c are three numbers then distributive property of multiplication can be stated as :
a×(b ± c) =(a× b) ± (a ×c)
For Multiplying 4($5.97)
Write 5.97 = 6 -0.03
4 (5.97) = 4* ( 6 -0.03) = (4*6) -(4*0.03) (using distributive property)
⇒(4*6) -(4*0.03) = 24 - 0.12 = 23.88
Therefore without actually multiplying 4 (5.97) we got 4 (5.97) = 23.88 by using distributive property of multiplication over subtraction.
Also , learn more about the distributive property of multiplication from the link below :
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Julie earned a $1500 bonus at work for doing a good job. She placed part of the money in a regular savings account earning 2.5% annual interest. She placed the remaining amount in a money market account earning 5% interest annually. At the end of the year she earned four times more in the money market account than she did in the regular savings account. How much did Julie invest in the money market account at 5% interest? (Express your answer to the nearest dollar)
The amount of money Julie invested in the money market account at 5% interest is $600
How to find amount Julie invest in the money marketAccording to the question;
It follows that the total amount earned is; $1500. andLet, x and y be the initial allocated to savings and market account respectively, then;x + y = 1500
4 × (0.025 × x) = (0.05 × y)
Therefore;
x = y/2
Therefore, y + y/2 = 1500
2.5y = 1500
y = $600
and
x = $900
Read more on percentages;
https://brainly.com/question/24304697
77x10= what 10 x77 77x10
Answer: 770
Step-by-step explanation:
It would= 10 x 77 and 77 x 10 it=770 because you always add a zero like this.
7 x 10=70
70 x 10=700
700 x 10=7,000
7,000 x 10=70,000
Or another example take 8
8 x 10=80
8 x 100=800
8 x 1,000=8,000
8 x 10,000=80,000
Hope it helps have a great day:)
Kathleen jarred 12 liters of jam after 4 days. How much jam did Kathleen jar if she spent 6 days making jam? Assume the relationship is directly proportional.
Given parameters:
Number of liters of jam = 12 liters
Number of days = 4 days
Unknown:
Number of jams jarred in 6 days = ?
Solution:
Let us first find the rate of Kathleen in this jarring work;
Rate = [tex]\frac{Number of jams}{Number of days}[/tex]
Rate = [tex]\frac{12}{4}[/tex] = 3liters/day
Now, the number of jams in 6days;
Number of jams = Rate x number of days
Number of jams = 3 x 6 = 18jams
The number of jams jarred in 6 days is 18
R is the midpoint of PQ. PR = 6x + 7 and RQ = 3x + 8, find the length of PQ.
Answer:
PQ = 18
Step-by-step explanation:
If R is the midpoint of PQ, then PR = RQ
⇒ 6x + 7 = 3x + 8
⇒ 3x = 1
⇒ x = 1/3
So PR = 6x + 7 = 6(1/3) + 7 = 9
and RQ = 3x + 8 = 3(1/3) + 8 = 9
⇒ PQ = PR + RQ = 9 + 9 = 18
At the baseball game last weekend, the Smith, Jones, and Garcia families each bought snacks from the concession stand. The Smith family purchased 3 hot dogs, 1 drinks, and 4 pretzels for $19.50. The Jones family spent $10.00 on 2 hot dogs, 2 drinks, and a pretzel. The Garcia family bought 3 hot dogs, 2 drinks, and 2 pretzels for $15.
What is the cost of a drink?
Answer:
The cost of a drink is $1.5
Step-by-step explanation:
Let x be the cost of 1 hot dog , y be the cost of 1 drink and z be the cost of 1 pretzel
We are given that The Smith family purchased 3 hot dogs, 1 drinks, and 4 pretzels for $19.50.
So, 3x+y+4z=19.50 ---1
We are also given that The Garcia family bought 3 hot dogs, 2 drinks, and 2 pretzels for $15.
So, 3x+2y+2z=15 ---2
We are also given that The Jones family spent $10.00 on 2 hot dogs, 2 drinks, and a pretzel.
2x+2y+z=10 ---3
Substitute the value of y from 1 in 2 and 3
3x+2(19.50-3x-4z)+2z=15 and 2x+2(19.50-3x-4z)+z=10
-3x-6z+24=0----4 and -4x-7z+29=0 ---- 5
Substitute the value z from 4 in 5
[tex]-4x-7(\frac{-24+3x}{-6})+29=0[/tex]
x=2
Substitute the value of x in 4
-3(2)-6z+24=0
z=3
Substitute the value of x and z in 1
3(2)+y+4(3)=19.50
y=1.5
Hence the cost of a drink is $1.5
need help with thiss
All sides are equal
Perimeter=Sum of sides
[tex]\\ \sf \Rrightarrow 5(6s^5t-t^3)[/tex]
[tex]\\ \sf \Rrightarrow 30s^5t-5t^3[/tex]
What is the slope of the line going through (9,7) and (9,-4)
Answer:
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Explanation:
look at the screenshots
Help mw with tis qustion
Answer:
Step-by-step explanation:
You already have the awnser there.
15.3+1.1+1.7 =18.1
Example:
a+b+c= a+c+b= b+c+a= b+a+c
You can Sum the numbers in which way you’d like,the awnser will be same if there is only pluses (+)
6 friends go to the movies. Tickets cost $12 and each person buys popcorn. They spend $156 altogether. Write and solve an equation to find the cost of one p, popcorn. Be sure to include the equation as part of your answer.
Answer:
p = 14
Equation:
[tex]156=12x+6p[/tex]
Step-by-step explanation:
Set up the equation:
Let x = # of friends that went to the movies
Let p = cost of 1 popcorn
[tex]156=12(6)+6p[/tex]
[tex]156=72+6p\\84=6p[/tex]
Divide both sides by 6
[tex]p=14[/tex]
#LearnWithBrainly
+) Now write the sum as a product using 2 as one of the factors.
Answer: 24 is the product of 8(3) and 4(3+3)
Step-by-step explanation: hope this helps. <3
Find the fourth term of infinite geometric sequence if the sum of the second and the third term is equal to 3 and the sum of the geometric sequence is equal to 8.
The Common Ratio is a rational number.
[tex]|q| \ \textless \ 1 \ \textless \ =\ \textgreater \ \lim q^n = 0\\=\ \textgreater \ S = \frac{a_{1}}{1 - r}\\S = 8\\a_2 + a_3 = 3\\a_4 = ?[/tex]
Answer:
do you have a picture of the problem
Step-by-step explanation:
To practice for a competition, Kate swam 710 meters in the pool each day for 3 weeks. How many kilometers did Kate swim in those 3 weeks?
Answer:
14910 meters
Step-by-step explanation:
3 weeks= 21 days
each day= 710 m
21 days= 710*21
21 days= 14910 m
What is the volume of this right cone?
384π cm^3
691π cm^3
1038π cm^3
2073π cm^3
Answer:
1206
Step-by-step explanation:
Our formula to find the volume: V = 1/3 πr² h
h = 8
r = 12
π · 12² · 8/3
⇅
1206
But within decimals form
1206.37158
Find two consecutive odd integers whose sum is 122
Answer:
if the numbers were the same, they'd both be 61
So, try 60 and 62.
Algebraically, if x is the smaller number,
x + x+2 = 122
2x = 120
x = 60
Thanks!
Mark me brainliest!
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If adam’s credit card has an apr of 14.63%, what is adam’s balance at the end of june? a. $629.42 b. $629.66 c. $627.27 d. $628.40
The balance in Adam's account at the end of June which has the credit card with an apr of 14.63% is $627.27.
What is monthly payment?Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.
The Adam’s credit card has an Apr of 14.63%,The table below shows his use of that credit card over three months.
Date Amount ($) Transaction Remaining Balance ($) 4/1 626.45 Beginning balance 626.454/10 37.41 Purchase 663.864/12 44.50 Purchase 708.365/3 65.50 Payment 642.865/16 24.89 Purchase 667.755/20 104.77 Payment 562.986/6 23.60 Payment 539.386/10 15.00 Purchase 554.386/14 51.85 Purchase 606.23For the purchase add the previous balance and for payment subtract the previous balance. I have mentioned another column for remaining balance in the above table.
The total of this transaction when multiplied with number of days, we get the total balance, 56498.48.
Now the monthly average balance is,
[tex]m=\dfrac{56498.48}{90}\\m=627.76[/tex]
Thus, the balance in Adam's account at the end of June which has the credit card with an Apr of 14.63% is near to $627.27.
Learn more about the monthly payment here;
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Adam’s balance at the end of June is $629.42.
What is the adjusted balance method?The adjusted balance method is an accounting method that bases finance charges on the amount(s) owed at the end of the current billing cycle after credits and payments post to the account.
Balance at the end of April = 626.45 + 37.41 + 44.50 = $708.36
Interest levied on $708.36= 708.36* (14.63/12) * 1/100
Interest levied on $708.36 = $8.64
So, balance on May 1st= 708.36+ 8.64 = $717
Balance at the end of May = 717-65.50+24.89-104.77 = $571.62
Interest levied on $571.62 = $571.62 * (14.63/12) * 1/100
Interest levied on $571.62=$6.97
So, balance on June 1st = $578.59
Balance at the end of June = 578.59-23.60 + 15+51.85 = $621.84
Interest levied on $621.84 = $621.84* (14.63/12) * 1/100
Interest levied on $621.84 =$ 7.58
So balance at the end of the june = 621.84 + 7.58 = $629.42
Therefore, Adam’s balance at the end of June is $629.42.
To get more about the adjusted balance method visit:
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Which modified box plot represents the data set? 39, 39, 3, 40, 46, 48, 60, 62, 62.
Answer:
To find this question, you first should put your data values in order from least to greatest. Doing so would look like this:
39, 39, 3 , 40 , 46 , 48 , 60 , 62 ,62
Now find the median, the middle number. This would be 46. This would also be the middle point on your box and whisker plot. Looking at your answer choices, the only one that has the middle point at 46 is the last one. So that is your answer.
Step-by-step explanation:
Answer:
its 39
Step-by-step explanation:
Can anyone please help me
Answer:
6
Step-by-step explanation:
You have to separate the triangles into two, where you can compare short over long. DC = AB, so DC is the long side in the smaller triangle and AC is the shorter side. DC is similar to AC, and DE is similar to AB. Short over long side formula gives you [tex]\frac{x}{9} =\frac{4}{x}[/tex].
Cross multiply to get [tex]x^2=36[/tex]
Square root on both sides to get [tex]x=6[/tex]
please help me
A. What is the formula for exponential growth?
B. What does each variable mean?
Answer:
a) f(x) = a(1 + r)x
Step-by-step explanation:
exponential growth or decay function is a function that grows or shrinks at a constant percent growth rate. The equation can be written in the form f(x) = a(1 + r)x or f(x) = abx where b = 1 + r.
Step-by-step explanation:
A. Exponential growth or decay function is a function that grows or shrinks at a constant percent growth rate. The equation can be written in the form f(x) = a(1 + r)x or f(x) = abx where b = 1 + r.
How many numbers are 3 units away from 0?
Answer:
2
-3 and 3
these are the only numbers that are 3 numbers away from zero
Hope This Helps!!!
What is the relationship between the value of the 4 in the square and the value of the 4 in the circle in the number above?
Answer:
Find the radius of the circle which passes through the origin, (0,4) and (4,0) . (1) 2(2) [tex]4\sqrt{2}[/tex] (3) [tex]\sqrt{8}[/tex](4) [tex]3\sqrt{2}[/tex]
Piyra's class has adopted two equal sections of a highway to keep clean.The combined length is 3/4 of a mile.How long is each section,please help me out
Answer:
3/8
Step-by-step explanation:
3/4 x 2 = 6/8 and half it would be 3/8
solve the following proportion n-5/10 = n+4/2
Answer:
n = -25/4
Step-by-step explanation:
(n - 5)/10 = (n + 4)/2
10(n + 4) = 2(n - 5)
5(n + 4) = n - 5
5n + 20 = n - 5
4n = -25
n = -25/4
IF NR = 8 ft, what is the length of arc NMP. Round to the nearest tenth.
Check the picture below.
since chords NQ and MP cross the center of the circle at R, that means that those two chords are diametrical chords and the angles made by both are vertical angles and thus twin angles, namely both are 18° as you see in the picture, so the angle NMP in magenta is really 162° + 18° + 18° = 198°, and we know the radius NR is 8.
[tex]\textit{arc's length}\\\\ s=\cfrac{r\pi \theta }{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =198 \end{cases}\implies s=\cfrac{(8)\pi (198)}{180}\implies s\approx 27.6[/tex]
Find the product of 6.23 and 9.3 .
Answer:
57.939
Step-by-step explanation:
6.23 x 9.3 = 57.939
Hope this helps :)
Answer:
The answer is approximately 57.94
Step-by-step explanation:
When you are asked to find the product of something, it means to multiply.
Sum=addition Difference=subtraction Product=multiplication Quotient=division
Hope that helps!
whats the answer pls thankyou
Answer:
your answer is 0.4x10^6
Step-by-step explanation:
400×10^3
or 4×10^5 is more convenient
anyone answer is correct I hope it helps u
3 workers can do a job in 28 hours. How many more workers are needed to do this job in 12 hours?
Answer:
7 workers
Step-by-step explanation:
[tex]\frac{workers first time}{workers second time} = \frac{hours second time}{hours first time}[/tex]
[tex]\frac{3}{x} = \frac{12}{28}[/tex]
cross multiply and it becomes
12x = 3x28
12x = 84
x = 84/12
x = 7 workers
Answer
4
Step-by-step explanation:
3/28=x/12
that is 7 and you need to find how many more workers so you subtract
7-3=4
A used car salesperson receives a commission of 1/12 of the sale price for each car he sells would would be sales commission on a car that sold for 15,656
Answer: The commission would be $1304.66
Step-by-step explanation: Multiply the commission rate times the sale amount.
15656 × 1/12 is the same as 15656÷12