HELP PLEASE I NEED IT ASAP 3. Solve the compound inequality. 9 <_4x – 3 < 23. Write the solution in interval notation.
Answers
Answer:
X=15
Step-by-step explanation:
4*x/3+3-(23)=0
Step by step solution :
STEP
1
:
x
Simplify —
3
Equation at the end of step
1
:
x
((4 • —) + 3) - 23 = 0
3
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 3 as the denominator :
3 3 • 3
3 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
4x + 3 • 3 4x + 9
—————————— = ——————
3 3
Equation at the end of step
2
:
(4x + 9)
———————— - 23 = 0
3
STEP
3
:
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
23 23 • 3
23 = —— = ——————
1 3
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
(4x+9) - (23 • 3) 4x - 60
————————————————— = ———————
3 3
STEP
4
:
Pulling out like terms :
4.1 Pull out like factors :
4x - 60 = 4 • (x - 15)
Equation at the end of step
4
:
4 • (x - 15)
———————————— = 0
3
4*x/3+3-(23)=0
Step by step solution :
STEP
1
:
x
Simplify —
3
Equation at the end of step
1
:
x
((4 • —) + 3) - 23 = 0
3
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 3 as the denominator :
3 3 • 3
3 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
4x + 3 • 3 4x + 9
—————————— = ——————
3 3
Equation at the end of step
2
:
(4x + 9)
———————— - 23 = 0
3
STEP
3
:
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
23 23 • 3
23 = —— = ——————
1 3
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
(4x+9) - (23 • 3) 4x - 60
————————————————— = ———————
3 3
STEP
4
:
Pulling out like terms :
4.1 Pull out like factors :
4x - 60 = 4 • (x - 15)
Equation at the end of step
4
:
4 • (x - 15)
———————————— = 0
3
4*x/3+3-(23)=0
Step by step solution :
STEP
1
:
x
Simplify —
3
Equation at the end of step
1
:
x
((4 • —) + 3) - 23 = 0
3
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 3 as the denominator :
3 3 • 3
3 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
4x + 3 • 3 4x + 9
—————————— = ——————
3 3
Equation at the end of step
2
:
(4x + 9)
———————— - 23 = 0
3
STEP
3
:
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
23 23 • 3
23 = —— = ——————
1 3
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
(4x+9) - (23 • 3) 4x - 60
————————————————— = ———————
3 3
STEP
4
:
Pulling out like terms :
4.1 Pull out like factors :
4x - 60 = 4 • (x - 15)
Equation at the end of step
4
:
4 • (x - 15)
———————————— = 0
3
Answer:
3<_x<13/2
Step-by-step explanation:
Related Questions
The social media account for one store has approximately 10,000 followers. The marketing team consists of 20 of those followers. The team uses the equation y = 10,000/1 + 499 e^0.0455x to predict how many followers have seen the post depending on the number of minutes since it was posted. Approximately how long can the team expect it to take to reach 3,850 followers?
Answers
Answer:
125 minutes
Step-by-step explanation:
got it right on edge
Answer:
B. 125 minutes
Step-by-step explanation:
edge 2020
Using the graph below, what would the y-value (range) be for an x-value (domain) of -3?
Answers
By looking at the graph of the linear equation, we conclude that the y-value for x = -3, is y = -9
what would the y-value be for an x-value of -3?Here we have the graph of a linear equation. What the graph tells us is "what is the value of y for each value of x".
So, if we want to find the value of y when we have x = -3, then:
We need to find the value x = -3 on the horizontal axis.Then we move vertically upwards (or downwards, depending on the case) until we reach the graphed equation.Once we reached the graphed equation, we move horizontally until we meet the vertical axis.The value at which we meet the horizontal axis gives the value in the range related to the value in the domain from which we started.Following these steps, you should be able to see that, when x = -3, the value of y is -9
So we conclude that the y-value for x = -3, is y = -9
If you want to learn more about graphs.
https://brainly.com/question/14323743
#SPJ1
The heights of the girls in Leila’s class to the nearest 1/2 inch are: 56 1/2,57,56 1/2,58,58,57 1/2,57 1/2,57,58 1/2, and57.Leila makes a dot plot of data. How many different heights will be included on the number line
Answers
If Leila makes a dot plot of the heights of the girls in her class to the nearest ¹/₂ inch, the number of different heights that will include on the number line is 5.
What is a dot plot?A dot plot is a data visualization tool that consists of data points plotted as dots on a graph with an x- and y-axis.
The number of dots plotted on each number line shows the frequency of the data group.
Height Frequency Cumulative Frequency
56¹/₂ 2 2
57 2 4
57¹/₂ 2 6
58 2 8
58¹/₂ 1 9
Thus, arranging the heights according to groups, the different heights on the number line can be classified into 5.
Learn more about the dot plot at https://brainly.com/question/15853311.
#SPJ1
When students are admitted to a specific university, they are given a seven (7) digit identification number (NNNNNNN). If the first digit must be either a 0 or 1, how many identification numbers are possible?
Answers
Step-by-step explanation:
so, we have 1 position with 2 options (0 or 1).
and 6 positions with 10 options (0 to 9).
so, we have
2×10×10×10×10×10×10 = 2×10⁶ = 2,000,000
different identification numbers possible.
The midterm grades on a chemistry exam, graded on a scale of 0 to 100, were:
62, 64, 65, 65, 68, 70, 72, 72, 74, 75, 75, 75, 76,78, 78, 81, 83, 83, 84, 85, 87, 88, 92, 95, 98, 98, 100, 100. What is the best way to present this data to an audience?
A.
Scatterplot
B.
Bar graph
C.
Pie chart
D.
Line graph
E.
Table
F.
Power point
Answers
Answer:
E. Table.
Step-by-step explanation:
Since the data is numerical and discrete, a table would be the best way to present this data to an audience. A table can clearly and efficiently display all of the values in an organized manner. Additionally, a table could easily be used to calculate measures of central tendency, such as the mean or median.
if 10 days needed to earn 1 $ then how many days will take to earn 46$?
Answers
Because 10 days : 1$
X days : 46$
So X= 10*46/1= 460days
Evaluate each function given that f(x)=3x^2-2x and g(x)= -8x-x. Give your answer in simplest form.
a) f(-9)
b) g(-3)
c) f (p+4)
Answers
9514 1404 393
Answer:
26127 (see comment)3p^2 +22p +40Step-by-step explanation:
In each case, put the function argument where the variable is and do the arithmetic (or algebra).
a) f(-9) = 3(-9)^2 -2(-9) = 3·81 +18 = 261
__
b) g(-3) = -8(-3)-(-3) = 24 +3 = 27
__
c) f(p+4) = 3(p+4)^2 -2(p+4)
= 3(p^2 +8p +16) -2p -8
= 3p^2 +22p +40
_____
Additional comment
The form of g(x) is unusual, leading us to suspect it might be ...
g(x) = -8x^2 -x
In that case,
g(-3) = -8(-3)^2 -(-3) = -8·9 +3 = -69
Which equation is equivalent to log^3(x+5)=2?
Answers
Answer:
B on edge 2021
hope this helped
Step-by-step explanation:
238% of what number is 47,600?
Answers
Answer:
I think 200
Step-by-step explanation:
47600/238=200
200*238=47600
Answer:
the answer is actually 20000
Step-by-step explanation:
238% x =47,600
2.38x=47,600
47,600/2.38= 20000
Simplify the expression.
33 · 32 + 12 ÷ 4
Answers
Answer:
1059
Step-by-step explanation:
33 · 32 + 12 ÷ 4
PEMDAS
Multiply and divide first from left to right
1056 + 3
Then add
1059
\(\huge\textsf{Hey there!}\)
\(\mathsf{33\times32+12\div4}\\\\\mathsf{33\times32= \boxed{\bf 1,056}}\\\\\mathsf{\bold{1,056}+12\div4}\\\\\mathsf{12\div4=\boxed{\bf 3}}\\\\\mathsf{1,056+\bf 3}\\\mathsf{= \boxed{\bf 1,059}}\\\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf 1,059}}}\huge\checkmark\)
\(\large\textsf{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite40:)}\)
Suppose you have $54 to spend on gas for your whole trip. You know that gas prices are $3.60 per gallon. At the most, how many gallons could you buy
Answers
Answer: You can buy a maximum of 15 gallons of gas for $54.
To see why, you can divide the total amount of money you have by the cost per gallon:
$54 ÷ $3.60/gallon = 15 gallons
Step-by-step explanation:
Find r'(t), r(t0), and r'(t0) for the given value of (t0). r(t) = (e^t, e²t), t0 = 0
Answers
Applying the differentiation rule, it can be obtained that:
\(r'(t)=(e^t,2e^{2t})\), \(r(t_0)=(1,1)\) and \(r'(t_0)=(1,2)\).
What is the formula for differentiating an exponential function?The exponential function exists a mathematical function designated by f(x)=\exp or e^{x}. Unless otherwise determined, the term generally directs to the positive-valued function of a real variable, although it can be extended to complex numerals or generalized to other mathematical objects like matrices or Lie algebras.
In mathematics, the derivative of a function of a real variable estimates the sensitivity to change of the function value affecting a change in its statement. Derivatives exist as a fundamental tool of calculus.
\(\frac{d}{dt}(e^{mt})=me^{mt}\).
Given that \(r(t)=(e^t,e^{2t})\).
So, differentiating \(r(t)=(e^t,e^{2t})\) with respect to \(t\), we get: \(r'(t)=\left(\frac{d}{dt}(e^t),\frac{d}{dt}(e^{2t})\right)\).
So, using the above formula \(\frac{d}{dt}(e^{mt})=me^{mt}\), we get: \(r'(t)=(e^t,2e^{2t})\).
Now, substituting \(t=t_0=0\) in \(r(t)=(e^t,e^{2t})\) and \(r'(t)=(e^t,2e^{2t})\), we obtain:
\(r(t_0=0)=(e^0,e^{2\times 0})=(1,1)\) and \(r'(t_0=0)=(e^0,2e^{2\times 0})=(1,2)\).
Therefore, applying the differentiation rule, we get:
\(r'(t)=(e^t,2e^{2t})\), \(r(t_0)=(1,1)\) and \(r'(t_0)=(1,2)\).
To know about the differentiation rule, refer:
https://brainly.com/question/25081524
#SPJ9
Matrix M has x-rows and (11-x) columns. Matrix N has y-rows and (y+5) columns. If MN and NM both are defined, find the values of x and y
Answers
Answer:
\(x=8, y=3\)
Step-by-step explanation:
Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.
Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:
\(y=11-x----(1)\)
Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:
\(y+5=x----(2)\)
Substitute (1) into (2):
\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)
Substitute (3) into (1):
\(y=11-8=3\)
Hey ! Can anyone help me with this question please ? Thank you
Answers
Answer:
167°
Step-by-step explanation:
x = 167°
x2+10x+=()2
step by step
Answers
The value of the expression x² + 10x, when x = 2 is 24.
In the expression x² + 10x, x represents a variable, which is a placeholder for a value that can change. We are given that x = 2, which means we substitute 2 for x in the expression:
x² + 10x = 2² + 10(2)
Here, 2² means 2 raised to the power of 2, which is 2 multiplied by itself: 2² = 2 x 2 = 4.
10(2) means 10 multiplied by 2, which is 20.
So we can substitute these values in the expression:
x² + 10x = 2² + 10(2)
= 4 + 20
= 24
Therefore, when x is equal to 2, the value of the expression x² + 10x is 24.
To learn more about the expression;
brainly.com/question/24242989
#SPJ1
The complete question:
Evaluate the expression x² + 10x, when x = 2.
you roll a standard cube. find p(number greater than 3)
Answers
The probability of rolling a number greater than 3 is 1/2 or 0.5.
When rolling a standard cube, there are six possible outcomes, corresponding to the six faces of the cube. Each face has a number from 1 to 6.
To find the probability of rolling a number greater than 3, we need to determine the number of favorable outcomes (rolling a number greater than 3) and divide it by the total number of possible outcomes (rolling any number from 1 to 6).
The favorable outcomes for rolling a number greater than 3 are: 4, 5, and 6. So, there are three favorable outcomes.
The total number of possible outcomes is six since there are six faces of the cube.
Therefore, the probability of rolling a number greater than 3 is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 3 / 6
Probability = 1/2
Hence, the probability of rolling a number greater than 3 is 1/2 or 0.5.
for such more question on probability
https://brainly.com/question/23417919
#SPJ8
Help me with this question please
Answers
Answer: C
Step-by-step explanation:
Y=2x-4
8=2(6)-4
8=12-4
8=8 Correct
Problems
1) Paul runs 4 miles in 28 minutes. If he runs each mile at the same pace,
what is his rate in minutes per mile?
1 point
Your answer
Answers
Answer:
7
Step-by-step explanation:
You must divide 28 by 4 which equals 7.
solve for x,given the circle
below
with m
Answers
Answer:
x=8 is correct answer
Step-by-step explanation:
when you put 8 then as shown in figure it is about 90 degree angle so x=8 is correct
Please help! Which of the following is NOT a true statement about the dilation shown at the right?
Answers
Answer:
the statement 'the dilation changed the orientation of the figure' is NOT true
Step-by-step explanation:
the only transformations that can change a figure's orientation is a reflection, not a dilation like is shown.
the first statement is true because it is an enlargement of the shape
the third is true (look at point I and I', point I is (2,2) and becomes (4,4) which follows 2x 2y)
and the fourth is true because the ratios are 1:1:1:1 for both shapes
The table below shows the illuminated percentage of the moon on a lunar cycle of 28 days. The relationship can be described using a cosine function.
A 2-column table with 5 rows. Column 1 is labeled d with entries 0, 7, 14, 21, 28. Column 2 is labeled percent with entries 0, 48, 96, 48, 0.
Use the drop-down menus to complete each statement.
The amplitude of the function is
.
The period of the function is
.
The graph has a vertical shift of
units.
Answers
Answer:
The amplitude of the function is 48
The period of the function is 28
The graph has a vertical shift of 48 units.
Step-by-step explanation:
just took the quiz
Forest Fires and Acres Burned Numbers (in thousands) of forest fires over the year and the number (in hundred thousands) of acres burned for 7 recent years are shown. Number of fires x 69 58 47 84 62 57 72 Number of acres burned y 64 53 42 79 57 52 67 The correlation coefficient for the data is r=1 and α=0.05. Should regression analysis be done? The regression analysis should not be done. The regression analysis should be done. Find the equation of the regression line. y′=a+bx a= Find y' when x=50
Answers
The equation of the regression line is y = 4 + x and the regression analysis of the given data need not be done.
Straight line equation is y = a + bx.
The normal equations are
∑y = a·n + b ∑x ∑ xy = a ∑x + b∑x² Hence the regression analysis of the data :
The values are calculated using the following table
x y x² x⋅y
58 62 3364 3596
47 51 2209 2397
84 88 7056 7392
62 66 3844 4092
57 61 3249 3477
72 76 5184 5472
69 73 4761 5037
hence :
∑x = 449
∑y = 477
∑x² = 29667
∑x⋅y = 31463
Substituting these values in the normal equations
7a+449b=477
449a+29667b=31463
Solving these two equations using Elimination method,
7a+449b=477
and 449a+29667b=31463
7a+449b=477→(1)
449a+29667b=31463→(2)
equation(1)×449
⇒3143a+201601b=214173
equation(2)×7
⇒3143a+207669b=220241
Substracting
⇒-6068b = -6068
⇒6068b = 6068
⇒b = 1
Putting b = 1 in equation (1), we have
7a+449(1) = 477
⇒7a = 477 - 449
⇒7a = 28 or a = 4.
Now Estimate y for x=50
y = a + bx , we get
y = 4 + 1×50
y = 4 + 50
y = 54
At x equals 50 we get the value of y as 54 .
To learn more about regression line visit:
https://brainly.com/question/7656407
#SPJ4
What does the net decimal equivalent (NDE) represent?
Answers
Answer:
the product of the decimal equivalents of all discount in the series
Explain how integrity and ethical behavior apply to a small business.
Answers
Answer:
Integrity is all about behavior that is honest and forthright. Employees who have integrity are transparent in their actions and willing to do the right thing, even if it means personal sacrifice.
Integrity in business is a crucial component for sustaining successful business growth over the long run. This quality distinguish one business from the other.
How integrity and ethical behavior apply to a small business?Integrity means "the condition of being whole and undivided."It can be applied in small business in the following manners:
Sincerity: A business person owe it to their customers and staff as a and should always tell the truth and should not withhold information that can be helpful to them. Sincerity is essential quality which leads to growth.Commitments: Customers have expectations, whether one make them or not. This indicates that one's goods and services are valuable additions that function properly and address problems. Recognizing these kinds of commitments and keeping them up no matter what is important.Considering everyone equal: It is necessary to pay as much attention to smaller clients as one is paying to larger clients. Keeping in mind that maintaining integrity means acting consistently as the same person (or business). In other words, regardless of how much they may contribute to bottom line, everyone is treated equally.Be respectful: Being kind and polite to others on a basic level. Recognizing various viewpoints regarding roles, ages, ethnicities, and cultural differences, and strive to treat everyone with care and respect.To know more about similar questions on 'integrity and ethics';
visit- https://brainly.com/question/681333
#SPJ2
11 players are going to practice in the batting cage. how many different orders are possible
Answers
Answer:
Step-by-step explanation:
If max have 120 Pokémon cards and gave eve 99 Pokémon cards how many dose max have?
Answers
Answer:
21 Pokémon cards
Step-by-step explanation:
If Max had 120 Pokémon cards and gave 99 of them to Eve, we can find out how many cards Max has left by subtracting 99 from 120:
120 - 99 = 21Therefore, after giving 99 cards to Eve, Max has 21 Pokémon cards left.
________________________________________________________
Answer:
Max have = 120 Pokémon cards
He gave = 99 to eve
How much does max have?
Ans =120-99
=21
Roman solved the equation 5 a + 2 b = 10 for a. His steps are shown below. 1. Subtract 2b: 5 a + 2 b minus 2 b = 10 minus 2 b. 5 a = 10 minus 2 b. 2. Multiply by 5: a = 50 minus 10 b. Which statement about Roman’s work is true? In step 1, he needed to add 2b to both sides of the equation. In step 1, he needed to divide both sides of the equation by 2b. In step 2, he needed to divide both sides of the equation by 5. In step 2, he needed to subtract 5 from both sides of the equation.
Answers
Answer:
It's C
Step-by-step explanation:
In step 2, he should have divided. Have a great day!
Answer:
C: In step 2 he should divide the equation on both sides by 5.
Step-by-step explanation:
Took the test, got it right.
A car traveled 281 miles in 4 hours 41 minutes. What was the average speed of the car in miles per hour?
Answers
Answer:
= 60 miles / hour
Step-by-step explanation:
We first convert the time of 4 hours 41 minutes in minutes
4 hours 41 minutes = 4 × 60 + 41 = 281 minutes
Average speed S is given by distance / time. Hence
S = 281 miles / 281 minutes = 1 mile / minute
= 60 miles / hour
Total distance=281mi
Total time=4.7h
\(\\ \tt\hookrightarrow Avg\:Speed=\dfrac{Total\: distance}{Total\:time}\)
\(\\ \tt\hookrightarrow Avg\:Speed=\dfrac{281}{4.7}\)
\(\\ \tt\hookrightarrow Avg\:Speed=59.78mph\)
ASAP!!!
What is the range of the function on the graph?
A all the real numbers
B all the real numbers greater than or equal to 0
C all the real numbers greater than or equal to 2
D all the real numbers greater than or equal to -3
Answers
Answer:
D all the real numbers greater than or equal to -3
Step-by-step explanation:
help, please. brainliest.
Answers
Answer:
55=1.5i+2.5t
Step-by-step explanation: