The solution of the equation 3x + 4 =1 is a) 1 b) 0 c) -1 d) 2
Hello!
3x + 4 = 1
3x + 4 - 4 = 1 - 4
3x = -3
3x/3 = -3/3
x = -1
The solution of the equation 3x + 4 = 1 is -1.
The answer is:
C) x = -1
Work/explanation:
To solve this equation, I subtract 4 from each side:
\(\sf{3x+4=1}\)
Subtract :
\(\sf{3x=-3}\)
Divide each side by 3:
\(\sf{x=-1}\)
Hence, C is correct.
Using the present value approach, solve the following:
Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?
Answer:
Step-by-step explanation:
$100x0.5x1=$5
35 Type the correct answer in each box. Day Amount 1 $26 2 $23 3 $31 4 $26 5 $34 The table shows the amount Bill spent on 5 days last week. The mean of the amount he spent is $ The mean absolute deviation is $ Reset Next
Answer:
The answer is 23 I just took this test and got it right
Step-by-step explanation:
Answer: 23
Step-by-step explanation:
UMM SOMEONE CAN HELP ME I need to do this using the distributive property and collecting like terms.
8 − 4 ( 1/8r −3 1/2
This Venn diagram shows sports played by 10 students.
Karl
Jada
Gabby
PLAYS
BASKETBALL
O A=0.50
OB. 0.29
OC. =0.40
D.
=0.20
Fran
Juan
lan
Ella
Let event A = The student plays basketball.
Let event B = The student plays soccer.
What is P(AB)?
PLAYS
SOCCER
Mickey
Mai
Marcus
The conditional probability for this problem is given as follows:
C. P(A|B) = 2/5 = 0.4 = 40%.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:
C. P(A|B) = 2/5 = 0.4 = 40%.
Learn more about the concept of probability at https://brainly.com/question/24756209
#SPJ1
2. Solve this inequality. Show your work.
7 + 2x > 42 – 3x
Answer:
Answer:
\(x > 7\)
Step-by-step explanation:
\(7 + 2x > 42 - 3x\)
\(2x + 3x > 42 - 7\)
\(5x > 35\)
\(x > 7\)
Answer:
give the other guy brainliest
Step-by-step explanation:
Function or not?? Please help
Answer:
not a function
Step-by-step explanation:
This would not pass the vertical line test, so it is not a function
Answer:
This not a function
Step-by-step explanation:
A tree is 7 feet 5 inches tall. How tall is it in inches
Answer:
The tree is 89 inches
Please mark as Brainliest
Find each angle measure
Answer:
12. m∠C = 100° and m∠F = 100°
13. m∠S = 89° and m∠U = 89°
Step-by-step explanation:
Question 12
The two triangles ΔABC and ΔDEF have two of their angles equal:
m ∠A = m ∠D
m∠B = m∠E
Therefore the third angles must be equal:
m∠C = m∠F
m∠C = (4x²)° and m∠F = (3x² + 25)°
Setting these two right side expressions in parentheses equal to each other gives
4x² = 3x² + 25
4x² - 3x² = 25
x² = 25
x = ±√25 = ±5
Ignoring the negative value we get
x = 5
Therefore
m∠C = (4x²)° = (4 · 5²)° = (4 · 25)° = 100°
Since, m∠F = m∠C ,
m∠F = 100°
But we can double check
m∠F = (3x² + 25)° = (3 · 5² + 25)° = (3 · 25 + 25) = (75 + 25)° = 100°
Question 13
This is similar to question 12
The quadrilateral RSTU is divided into two triangles ΔRST and Δ RUT
We are given
m∠RTS = m∠TRU
m∠TRS = m∠RTU
Therefore the third angle of ΔRST must be equal to the third angle of Δ RUT
In other words,
m∠S= m∠U
Plugging in the expressions for each of these angles we get
(5x - 11)° = (4x + 9)°
Set the expressions inside parens equal to each other and solve for x:
5x - 11 = 4x + 9
5x - 4x - 11 = 9 (subtract 4x from both sides)
x - 11 = 9
x = 11 + 9 (add 11 both sides)
x = 20
m∠S= (4x + 9)° = (4 · 20 + 9)° = (80 + 9)° = 89°
Therefore m∠RUT is also 89°
but we can double-check
m∠U= (5x - 11)° = (5 · 20 - 11)° = (100 - 11)° = 89°
If f(x) = 2x-3/5 , which of the following is the inverse of f(x)?
5
O A. f¹(x) =
OB. f¹(x) =
O C. f-¹(x) =
OD. f1(x) =
5x+3/
2
2x+3/
5
3x+5/
2
3x+2/
5
The inverse of the linear function, f(x), f(x) = (2x - 3)/5 is f⁻¹(x) = (5·x + 3)/2. The correct option is option A
A. f⁻¹(x) = (5·x + 3)/2
What is the inverse of a function?The inverse of a function is a function that reverses the effect the original function.
The original function is; f(x) = (2·x - 3)/5
The inverse of f(x) can therefore be found by making x the subject of the equation as follows;
f(x) = (2·x - 3)/5
5 × f(x) = (2·x - 3)
5 × f(x) + 3 = 2·x
2·x = 5 × f(x) + 3
x = (5 × f(x) + 3)/2
Plugging in x = f⁻¹(x) and f(x) = x, in the above equation, we get;
f⁻¹(x) = (5 × x + 3)/2
f⁻¹(x) = (5·x + 3)/2The correct option that is an inverse of f(x) is therefore, option A
Learn more on the inverse of a function here: https://brainly.com/question/29652632
#SPJ1
4/5 times 40 =
1/6 times 48=
5/8 times 64=
Answer:
4/5 times 40 = 32
1/6 times 48= 8
5/8 times 64= 40
Step-by-step explanation:
Hope this helps chu! Credit to the person below as well!
Please help. I’ll mark you as brainliest if correct!
Answer:
product = 40
Step-by-step explanation:
The conjugate of (-2 + 6i) is (-2 - 6i)
You just need to change the sign
(-2 + 6i) (-2 - 6i)
Expand:
4 + 12i + -12i - \(36i^{2}\)
4 + 12i + -12i + 36
product = 40
M(3,-4) is the midpoint between R(x,y) and S(6,0). Find the coordinates of R
Answer:
R = (0,-8)
Step-by-step explanation:
Let's look at the difference between S, and the midpoint M.
S(6,0) - M(3,-4) = N(3,4) This will help us find R(x,y)
Next, take M, and subtract N from it.
M(3,-4) - N(3,4) = (0,-8). This is the value of R.
HELP HELP HELP IM GIVING BRAINLIEST!!!!
Answer:
15
Step-by-step explanation:
Find the measure of angle KMU.
For what values of x is the expression (x - 4)^2 > 0?
Answer:
\(x<4\text{ or } x>4\)
Step-by-step explanation:
Solve we have the inequality:
\((x-4)^2>0\)
Let's solve it like a normal equation first. So, pretend the inequality is an equal sign:
\((x-4)^2=0\)
Solve for x. Zero Product Property:
\(x-4=0\text{ or } x-4=-0\)
Add 4 to both sides for both equations:
\(x=4\text{ or } x=4\)
So, our roots are at x=4 and x=4.
Since our original inequality is greater than, this means that our solution will be all values to the left of our first zero and all values to the right of our second zero.
Therefore, our solution is:
\(x<4\text{ or } x>4\)
Simply put, our x can be anything except for 4 itself.
And we're done!
Answer:
x<4 or x>4
Step-by-step explanation:
(x - 4)^2 > 0
Take the square root of each side
±sqrt((x - 4)^2) >sqrt( 0)
x-4 > 0 or -(x-4)>0
Solving the first inequality
Add 4 to each side
x>4
Solving the second inequality
Divide each side by -1, remembering to flip the inequality
x-4 <0
Add 4 to each side
x < 4
The figure is a parallelogram.
Solve for x.
A)11
B)6
C)7
D)1
Answer:
11
Step-by-step explanation:
opp sides are equal
2x-5=17
x =11
help me with number nine
Answer:
if u are looking for the value of x then it's 6
if you are looking for the value of x then its 6
If a three-digit number is divided by 5 or by 6, remainder is 1 in each case. What is the least such three-digit number?
Answer:
The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.
Step-by-step explanation:
This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.
Pls Need this ASAP
When purchasing a home, you need a loan for $80,000. The interest rate of the
loan is 8% and you are required to make monthly payment of $587.
Answer:
1) 5m
2) 0.25tan
Step-by-step explanation:
2. Which of the following inequalities would represent the graph shown?
f(x) ≤ √1-x
f(x) < √1-x
f(X) > √1-x
f(x) ≥ √1-x
Answer:
\(f(x) > \sqrt{1 -x}\)
which is the third choice
Step-by-step explanation:
We could just plot each and see which plot corresponds to the given graph
However, that is not necessary.
First note that the plot is a dotted line. This means the inequality is either a < inequality or a > inequality. If it were a ≤ or ≥ inequality, the plot of the line would be a solid line
That eliminates first and last choices
To see which of the remaining two options fits the graph, take a point in the shaded region and see which one satisfies which inequality .
Checking second choice....
Point (0, 2) is in the shaded region
Does (0, 2) satisfy the second choice: \(f(x) < \sqrt{1-x}\;\; ?\)
Let's check by substituting 0 for the value of x
\(1-x = 0\; so \; \sqrt{1-x} = \sqrt{0} = 0\)
But the corresponding value of y should be 2, not 0 so this inequality is not satisfied for a point in the shaded region. Eliminate second choice
Third choice is the correct answer
PLS HELP These tables represent a quadratics function
Answer:
A
Step-by-step explanation:
is moving by 2 but there negative numbers which makes it -2
what is 38,050,000 expression in scientific notation?
Answer:
To convert 050000 × 10380
Step-by-step explanation:
To convert 050000.0 into regular format, move the decimal point to the right 380 places. Why? Because that's what × 10380 means: multiply by a 1 with 380 zero(s) after it. And, with each zero in a multiplication, the decimal moves to the right 1 place.
3.805 x 10 to the 7th power
bár [7.SP.4] Ms. Brittellasks a random sample of 7 students from each of her two classes how many siblings they have. The data is recorded below. Create two box plots for the data. Then make a statement comparing the shape, center, or spread of the data. 0.x2.3.480 A Box plot Class A data: 0,9,2,4,2,3.6.6 Class B data: 2, 7,3,6,6,3,4,5 kspace: (use this space to plan your box plots) IO 7 8 9 10
The box plots for Class A and Class B data show similar shapes and spreads. However, Class B has a slightly higher median, indicating students in that class may have more siblings on average.
To create box plots for the given data, we first need to sort the data in each class in ascending order.
Class A data: 0, 2, 2, 3, 4, 6, 9
Class B data: 2, 3, 3, 4, 5, 6, 6, 7
Now, let's create the box plots.
Class A Box Plot:
Minimum: 0
First Quartile (Q1): 2
Median (Q2): 4
Third Quartile (Q3): 6
Maximum: 9
Class B Box Plot:
Minimum: 2
First Quartile (Q1): 3
Median (Q2): 4.5
Third Quartile (Q3): 6
Maximum: 7
To compare the shape, center, or spread of the data between the two classes:
Shape: Both box plots appear to have a roughly symmetric shape, with similar box lengths and whisker lengths. This suggests that the distributions of the number of siblings in both classes are relatively similar.
Center: The median (Q2) for Class A is 4, while the median for Class B is 4.5. This indicates that the center of the data in Class B is slightly higher compared to Class A, suggesting that, on average, students in Class B may have slightly more siblings than those in Class A.
Spread: The spread of the data can be observed by comparing the interquartile ranges (IQR). The IQR for Class A is 4 (Q3 - Q1 = 6 - 2), and the IQR for Class B is also 3 (Q3 - Q1 = 6 - 3). This suggests that the spread of the data in both classes is relatively similar.
Overall, the two classes have similar shapes and spreads, but Class B appears to have a slightly higher center (median) compared to Class A.
for such more question on median
https://brainly.com/question/31283526
#SPJ8
How can you use a dictionary to figure out how to say a word correctly?
You have to use an online dictionary to figure this out.
Say the word one syllable at a time, looking at the dots between the parts of a word.
Sound out the letters and symbols in parenthesis right after the word.
Read the text that appears after the first number in word’s entry.
Answer:
The second one should be the correct answer.
Answer:
Sound out the letters and symbols in parenthesis right after the word.
Step-by-step explanation:
one-sixth the sum of eight and a number
Step-by-step explanation:
Let the number be x.
1 =8 + x
6
6×1=6×8+6×x
6
1=48+6x
1-48=6x
-47=6x
6. 6 x = -7 5
6
x is equal to minus seven whole number five divided by six.
estimate the quotients 123.8 divide by 62=
Answer:
Step-by-step explanation:
How do I simplify this expression?
Answer:
what expression nothing shows up
Step-by-step explanation:
Answer:
plzz keep the complete question
Step-by-step explanation:
i hope u will
What are m and b in the linear equation y = 20x + 13?
Answer: M is the variable used for slope and B is the y-intercept. In other words, 20 = M or your slope. B = 13 or your Y-intercept.
I hope this makes sense!
Suppose your waiting time in minutes for the Caltrain in the morning is uniformly distributed on [0, 5], whereas waiting time in the evening is uniformly distributed on [0, 10]. Each waiting time is independent of all other waiting times.
(a) If you take the Caltrain each morning and each evening for 5 days in a row, what is your total expected waiting time?
(b) What is the variance of your total waiting time?
(c) What is the expected value of the difference between the total evening waiting time and the total morning waiting time over all 5 days?
(d) What is the variance of the difference between the total evening waiting time and the total morning waiting time over all 5 days?
a)The total expected waiting time is 37.5 minutes.
b)The total variance is 52.05 minutes^2.
c)The expected value of the difference between the total evening waiting time and the total morning waiting time over all 5 days is 12.5 minutes.
d)The variance of the difference between the total evening waiting time and the total morning waiting time over all 5 days is 28.95 minutes^2.
(a) To find the expected waiting time for the Caltrain in the morning, we calculate the expected value of the uniform distribution on [0, 5], which is (0 + 5) / 2 = 2.5 minutes. In the evening, the expected value of the uniform distribution on [0, 10] is (0 + 10) / 2 = 5 minutes.
So, the total expected waiting time for one morning and one evening trip is 2.5 + 5 = 7.5 minutes. For 5 days in a row, the total expected waiting time is 5 * 7.5 = 37.5 minutes.
(b) The variance of the waiting time for one morning trip is (5 - 0)^2 / 12 = 25 / 12 = 2.08. The variance of the waiting time for one evening trip is (10 - 0)^2 / 12 = 100 / 12 = 8.33. The total variance of the waiting time for one morning and one evening trip is 2.08 + 8.33 = 10.41. For 5 days in a row, the total variance is 5 * 10.41 = 52.05 minutes^2.
(c) The expected value of the difference between the total evening waiting time and the total morning waiting time over all 5 days is 5 * (5 - 2.5) = 12.5 minutes.
(d) The variance of the difference between the total evening waiting time and the total morning waiting time over all 5 days is 5 * (8.33 - 2.08) = 28.95 minutes^2.
To learn more about uniform distribution click on,
https://brainly.com/question/14617847
#SPJ4