During math class last week, Terrence was asked to determine if the equation shown has no solution, one solution, or infinitely many solutions 101 - 6+ 2. = 4(3x - 1) - 2 Terrence concluded that the equation has infinitely many solutions Determine if Terrence's conclusion is correct that the equation has infinitely many solutions Show each step of your work and justity your thinking Enter your answer work, and justification in the box provided
HELP PLEASE!!
The equation can have no solution or as many solutions as possible
Terrence's conclusion that the equation has infinitely many solutions is false
How to determine the number of solutions?The equation is given as:
101 - 6+ 2 = 4(3x - 1) - 2
Open the bracket
101 - 6+ 2 = 12x - 4 - 2
Collect the like terms
12x = 101 - 6+ 2 + 4 + 2
Evaluate the like terms
12x = 103
Divide both sides by 12
x =103/12
The above shows that the equation has one solution
Hence, Terrence's conclusion that the equation has infinitely many solutions is false
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Which of the following is NOT a linear function?
Answer:
y=(x-5)^2
Step-by-step explanation:
Y= (x-5)^2
Y= 1/3x +8
Y - 4 = 2(x-1)
9x - 2y = -18
This equation is exponential so it won't have a straight slope.
Which of the following is the greatest common factor of 60 and 64?
Answer:
Greatest common factor (GCF) of 60 and 64 is 4.
Step-by-step explanation:
The HCF of two numbers 60 and 64 is 4.
What is LCM?LCM is the least common multiple is the smallest number that is divisible by two or more than two given numbers.
We know that the greatest common factor of two or more than two numbers is the largest number that divides the given numbers completely.
Given we have to find HCF of 60 and 64.
2 can divide both the numbers but 4 also divides the numbers and n such no. more than 4 divide them completely and simultaneously.
∴ HCF of 60 and 64 is 4.
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Enter your answer and show all the steps that you use to solve this problem in the space provided.
What is the solution to the proportion?
3y-8/12 = y/5
Given a graph, with no equation, how can you graph the inverse?
There are two different ways you can do this, I have provided both below.
Answer: You can switch all the x and y coordinate values.
For example, if you have (2, 1) you would graph (1, 2).
Another example, if you have (677, 83) you would graph (83, 677)
Answer: Flip the graph over the line of y = x
I have attached an example from lumenlearning.com.
Which one of the following graphs represents
y as a function of x?
(А.
C
(В
D
Answer:
D
Step-by-step explanation:
'D' is the only graph that illustrates a function
All of the other graphs would fail a 'vertical line test'; in other words, would have two y-values for each x-value
Lonnie is considering doing some long term investing with money that she inherited. She would like to have $50,000 at the end of 30 years. Approximately how much money would Lonnie need to put into an account earning 6% interest compounded annually in order to meet her goal? a. $8,706 b. $9,000 c. $27,778 d. $40,690
Answer:
$8,706
Step-by-step explanation:
Lionnel is considering doing some long term investments with the money she inherited
She would like to have $50,000 at the end of 30 years
The interest is 6%
Therefore the amount that Lionnel would need to put into the account can be calculated as follows
A= P(1+r)^t
50,000 = P(1+6/100)^30
50,000 = P (1+0.06)^30
50,000 = P(1.06)^30
50,000= 5.7434P
P = 50,000/5.7434
P= $8,706
Hence Lionnel will need to put $8,706 into an account earning 6% interest
Answer:
It's A-$8,706 :))
Step-by-step explanation:
i need help with this please!
Answer:
Plug in those values for the x in the equations.
Step-by-step explanation:
f(x) = x^2 + x
(x = -1) :: f(-1) = (-1)^2 + (-1)
f(-1) = -1 + -1
f(-1) = -2
(x = 2) :: f(2) = (2)^2 + (2)
f(2) = 4 + 2
f(2) = 6
f(x) = x^2 - x
(x = -1) :: f(-1) = (-1)^2 - (-1)
f(-1) = 1 - (-1)
f(-1) = 2
(x = 2) :: f(2) = (2)^2 - (2)
f(2) = 4 - 2
f(2) = 2
f(x) = -x^2 - x
(x = -1) :: f(-1) = -(-1)^2 - (-1)
f(-1) = -1 + 1
f(-1) = 0
(x = 2) :: f(2) = -(2)^2 - (2)
f(2) = -4 - 2
f(2) = -6
Which equation for g(x) represents the transformation of f(x) given that f(x) = x^2
g(x) = f(x) shifted left 2 units?
PLEASE HELPPP
Lets shift
[tex]\\ \rm\Rrightarrow f(x)=x^2[/tex]
[tex]\\ \rm\Rrightarrow g(x)=(x+2)^2[/tex]
[tex]\\ \rm\Rrightarrow g(x)=x^2+2x+4[/tex]
Answer:
g(x) = (x + 2)²
Step-by-step explanation:
In function notation, if we want to shift a function to the left, we add the number we are asked to move to the left inside the function's argument:
⇒ To shift f(x) b units to left → f(x + b)
Similarly, if we want to shift a function to the right, we subtract the number we are asked to move to the right inside the function's argument:
⇒ To shift f(x) b units to right → f(x - b)
Given function f(x) = x²
Shift 2 units to the left: f(x + 2) = (x + 2)²
Therefore, g(x) = (x + 2)²
Which number is the largest?
3/5 2/3 0.67 0.59
Answer: 0.67
Step-by-step explanation: 0.67 is the largest because 3/5 is 0.6 and 2/3 is 0.6666666666666.
0.67 is the largest number.
What is Number system?A number system is defined as a system of writing to express numbers.
we need to find the largest number among 3/5, 2/3, 0.67 and 0.59
The given numbers are in the form of fractions and decimal.
Let us convert the fraction to the decimal numbers
3/5=0.6
2/3=0.666
0.67
0.59
In the given decimal numbers 0.67 is the largest number than other decimal numbers as there is 100th place of 7.
Hence, 0.67 is the largest number.
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my new laptop was $824.99 plus the 10 % tax. what will it cost me
In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π5 radians. what is the arc length? use 3.14 for π and round your final answer to the nearest hundredth. enter your answer as a decimal in the box. m
The length of the arc subtending a central angle of 9π/5 radians is 152.12m.
The radius of the given circle r = 26.9m
The measure of the central angle α = [tex]\frac{9\pi }{5}[/tex] radians
What is the arc of the circle?The arc of a circle is defined as the part or segment of the circumference of a circle. Its length is the product of the central angle(in radian) and radius of the circle.
So, the length of the arc subtending a central angle of 9π/5 radians
l = rα
l = 26.9 * 9π/5
l = 152.12m
Therefore, the length of the arc subtending a central angle of 9π/5 radians is 152.12m.
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A line is parallel to y = 3x - 12 and
intersects the point (1, -2). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y1 = m(x - X1)
Then write the equation in slope-intercept form.
Answer:
y = 3x - 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 12 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , then
y = 3x + c ← is the partial equation
to find c substitute (1, - 2 ) into the partial equation
- 2 = 3 + c ⇒ c = - 2 - 3 = - 5
y = 3x - 5 ← equation of parallel line
Pls help me on this problem I’m confused
Answer:
420 × 2 = 820 feet total
100 yards = 300 feet
125 yards = 375 feet
300 + 375 = 675
820 - 675 = 145 feet
they have 145 feet left
What is the value of the function at x=−2?
y=−2
y = 0
y = 2
y = 3
Answer:
3
Step-by-step explanation:
hope it is right and is helpful
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER PLEASE
Answer:
452.16 cm^2
Step-by-step explanation:
To find the area of a circle with the circumference we can say that half of the circumference is the radius. Hence our radius will be 12 cm.
A=[tex]\pi[/tex]r^2
A=[tex]\pi[/tex]12^2
A=[tex]\pi[/tex]144
A=144[tex]\pi[/tex]
We replace pi with 3.14
A=144*3.14
A=452.16
Write in standard form
820000000
Answer:
820000000 in standard form - Brainly.inhttps://brainly.in › Math › Secondary School
Step-by-step explanation:
n the 1920s, sled dog teams delivered mail to remote cities like Nome in the winter. The lowest temperature most sled dogs can run in is -71ºF. That’s 21º warmer than the coldest it gets in Alaska in winter. What’s the winter low temperature in Alaska?
Answer:
-50
Step-by-step explanation:
-71 + 21
-50
The 21 is positive so we subtract it off like when we do 1 - 1. The second 1 is negative to the first 1 who is positive.
Have an amazing day!
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The table displays the amount of time, in minutes, Jordan rode his bike for five days. How many total hours did Jordan ride his bike in the five days?
Day Time (minutes)
1 45
2 109
3 51
4 121
5 38
Answer:98.9276
Step-by-step explanation:
The table displays the amount of time, in minutes, Jordan rode his bike for five days. How many total hours did Jordan ride his bike in the five days? DayTime (minutes)11 4545 22 109109 33 5151 44 121121 55 3838 Jordan rode his bike total hours in the five days.
Of 140 seventh-grade students, 15% earn the Presidential Physical Fitness Award. How many students earn the reward?
ok right subject this time PLS HELP AND FULL EXPLANATION
Answer:
21 students earn the reward
Step-by-step explanation:
15% is equivalent to the fraction 3/20 so, you must divide 140 by 20 then multiply by 3 to get the final answer of 21 students.
15% = 3/20
140 divided by 20 = 70
70 x 3 = 210
210 divided by 10 = 21
In conclusion, your answer would be that 21 students get the Presidential Physical Fitness Award.
Have a great rest of your day
#TheWizzer
Answer:
21 students earn the reward
Step-by-step explanation:
15% is equivalent to the fraction 3/20 so, you must divide 140 by 20 then multiply by 3 to get the final answer of 21 students.
15% = 3/20
140 divided by 20 = 70
70 x 3 = 210
210 divided by 10 = 21
credits to NovaWiz
Step-by-step explanation:
ASAP and God bless you
Answer: $384
Step-by-step explanation:
PLEASEEW HELPPP WILL MARK BRAINLEST !!pntss
Triangle ABC with vertices A(1,4), B(4,1), and C( 1,1) is graphed on the coordinate plane below.
Which transformation of (triangle)ABC would yield ( triangle)A'B'C' so that AC is parallel to B'C'?
Which transformation of AABC would yield AA'B'C' so that AC is parallel to B'C'?
1.) a 180° clockwise rotation about the origin
2.) a 90° counterclockwise rotation about the origin
3.) a reflection across the y-axis
4.) a reflection across the x- axis
Answer:
the correct answer is choice 2
Step-by-step explanation:
reason being that both bc and ac would both be vertical lines so they have the same slope of undefined
Answer:
3.) A reflection across the y-axis
Hope this helps!
what are two consecutive whole number that lie between[tex]\sqrt91[/tex]
Answer:
√91 lies between 9 and 10.
Step-by-step explanation:
Can anyone help?tyyy☆
Answer:
what is the question tho?
Step-by-step explanation:
Whats the remainder when 14952 divide by 41
Damien deposited $250 in an account that earned 3.75% interest compounded annually.
He did not make additional deposits or withdrawals.
What will be the balance in this account at the end of 4 years?
The balance in his account at the end of 4 years will be $289.67.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Principal amount (P) = $250
Rate (r) = 3.75%
Time (t) = 4 years
Now,
Since, We know that;
⇒ [tex]A = P (1 + \frac{r}{100} )^t[/tex]
Where, A is the future amount.
P is the principal amount.
t is the time.
r is the rate.
Thus, By substitute all the values, we get;
⇒ [tex]A = P (1 + \frac{r}{100} )^t[/tex]
⇒ A = 250 (1 + 3.75/100)⁴
⇒ A = 250 (103.75/100)⁴
⇒ A = $289.67
Thus, The balance in his account at the end of 4 years will be $289.67.
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PLEASE HELP ASAP!!!
Complete the data table for the function
(Please fill out all FOUR boxes... tyy)
Answer:
y - 2, 3, 4, 5
Hope this helps :)
Can someone help me? I don’t know how to convert equivalent fractions using LCD.
Like 7/12 and 5/8 if the LCD is 24...
find the number that makes the ratio equivalent to 9:18 _:2
Answer:
9:18 = 1:2
Step-by-step explanation:
18/9 = 2
9/9 = 1
9:18 = 9/9:18/9 = 1:2
Urgent!!
Explain how you got the answer in details
Answer:
above is the solution to the question