Which graph shows the solution set of the compound inequality 1.5 x minus 1 greater-than 6.5 or 7 x + 3 less-than negative 25?
A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded between the two circles.
A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded from negative 4 toward negative 10. The number line is also shaded from positive 5 toward positive 10.
A number line goes from negative 10 to positive 10. An open circle appears at negative 4. The number line is shaded from negative 4 toward negative 10.
A number line goes from negative 10 to positive 10. An open circle appears at positive 5. The number line is shaded from positive 5 toward positive 10.
Answers
Answer:
After solving the compound inequality \(1.5x-1>6.5 \ or \ 7x+3<-25\) we get \(\mathbf{x>5 \ or \ x<-4}\)
Option B is correct.
Step-by-step explanation:
We are given compound inequality: \(1.5x-1>6.5 \ or \ 7x+3<-25\)
We will first solve the inequalities to find the value of x, then will draw the graph.
\(1.5x-1>6.5 \ or \ 7x+3<-25\\1.5x-1+1>6.5+1 \ or \ 7x+3-3<-25-3\\1.5x>7.5 \ or \ 7x<-28\\x>\frac{7.5}{1.5} \ or \ x<\frac{-28}{7}\\x>5 \ or \ x< -4\)
So, after solving the compound inequality \(1.5x-1>6.5 \ or \ 7x+3<-25\) we get \(\mathbf{x>5 \ or \ x<-4}\)
Now, the number line will be as shown in figure.
The description as given in options is:
A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded from negative 4 toward negative 10. The number line is also shaded from positive 5 toward positive 10.
so, Option B is correct.
Answer:
the answer is b
Step-by-step explanation:
2020 edge
Related Questions
If the 1t peron ave 1/4 of total , 2nd peron ave 2/3 of total and the 3rd peron ave 1/10 which fraction i left to pay for the birthday party
Answers
Although part of your question is missing, you might be referring to this full question: If the 1st person saves 1/4 of total, 2nd person saves 2/3 of total, and 3rd person saves 1/10, which fraction left to pay for the birthday party?
The fraction left to pay for the birthday party is 17/30.
The calculation is as follows:
1 * 1/4 = 1/4 … (1)
1/4 * 2/3 = 2/12 … (2)
2/12 * 1/10 = 2/120 … (3)
Fraction left to pay:
= 1 - (1/4 + 2/12 + 2/120)
= 1 - (30/120 + 20/120 + 2/120)
= 1 - (52/120)
= 1 - 13/30
= 30/30 - 13/30
= 17/30
Thus, the fraction left to pay for the birthday party is 17/30.
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, where the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Learn more about fraction at: https://brainly.com/question/10354322
#SPJ4
Describe the transformation for the equaton below:
f(x) = 12 – 4 + 3
Answers
Answer:
f(x)=11
Step-by-step explanation:
f(x)=12-4+3
f(x)=8+3
f(x)=11
pls help me I’m confused i’ll give brainliest
Answers
Answer:
I would say the length is near 8
Answer:
In the given right angled triangle,
base(b)=2 mm and perpendicular(p)=7mm
hypotenuse (h)=?
By using Pythagoras theorem,
h²=p²+b²
or,h²=(7)²+(2)²
or,h²=49+4
or,h²=53
or,h=√53
or,h=7.28
The length of unknown side is 7.28 mm and it is not determined exactly.
The length 7.28 mm is between integers 7 and 8 and it is more closer to 7.
Approximately what percentage was the discount? in the question" With a coupon, you can get a pair of shoes that normally costs $84 for only $72. How much money did you save?"
Answers
Answer:
14.29%
Step-by-step explanation:
You would do 84 -72. You should get 12. Then you would do 12/84 to get the discount percentage.
If you round to the hundredths, then your answer would be 14.29%.
Write the coordinates of a point. (1) Above the x-axis, lying on y-axis at a distance of 3 units. (ii) Below the x-axis, lying on y-axis at a distance of 8 units. (iii) Right of the origin and on the x-axis at a distance of 2 units.
Answers
The coordinates as required to be written are as follows;
i). (0, 3)ii). (0, -8)iii). (2, 0).What are the coordinates of the points as described?It follows from the task content that the coordinates of the points as described are to be determined.
It is important to note that a point which lies on the y-axis would have an x-coordinate of 0 while a point which lies on the x-axis would have a y-coordinate of 0.
Consequently since the right corresponds to positive x and upward corresponds to positive y;
i). Above the x-axis, lying on y-axis at a distance of 3 units corresponds to; (0, 3).
(ii) Below the x-axis, lying on y-axis at a distance of 8 units corresponds to; (0, -8)
(iii) Right of the origin and on the x-axis at a distance of 2 units. corresponds to; (2,0).
Read more on Cartesian coordinates;
https://brainly.com/question/4726772
#SPJ1
NEED HELP ASAP, WILL MARK BRAINLIEST!!!
Answers
Answer:
7. -
a. 3.5 or 7/2 hours
b. 24.5
c. After 7 hours (and at the beginning when t=0)
8. -
a. 4 seconds
b. 1 second
c. 54 meters
Step-by-step explanation:
7. M(t)=-2t^2+14t
M’(t)=-4t+14
a)
-4t+14=0
4t=14
2t=7
t=7/2
b) M(7/2)=24.5
c)
M(t)=0
-2t^2+14t=0
t^2-7t=0
t(t-7)=0
t=0, 7
8.
a)
h(t)=0
-6t^2+12t+48=0
t^2-2t-8=0
(t-4)(t+2)=0
t=-2, 4
t=4
b)
h(t)=-6t^2+12t+48
h’(t)=-12t+12
h’(t)=0
-12t+12=0
12t=12
t=1
c) h(1)=54
I hope this helps; please vote brainliest!
Find the slope: (5, 6) and (8,
12)
Answers
The slope of the line with the points (5, 6) and (8,12) is 2.
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Based on the information provided in the table, we can logically deduce the following slope and data points on the line:
Points on x-axis = (5, 8).Points on y-axis = (6, 12).Substituting the given data points into the slope formula, we have the following;
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (12 - 6)/(8 - 5)
Slope, m = 6/3
Slope, m = 2.
Read more on slope here: brainly.com/question/3493733
#SPJ1
One of the heaviest rainfalls recorded in Greentown in a 24-hour period was 178.8 centimeters. If the rainfall was constant. how many centimeter of rain fell during each hour
Answers
Answer:
7.45cm
Step-by-step explanation:
178.8 ÷ 24 hours = 7.45 centimetres per hour.
In AABC and ADEF, mZA = 68°,
m/C= m/F = 59°, mZE = 53°, and
AB = DE = 8 units. Can you prove that
AABC = ADEF? If so, write a proof. If not,
explain why not.
Answers
Answer:
It is impossible to prove that AABC = ADEF with the information given. In order for us to prove that these two figures are congruent, we would need to know the measures of all the angles in both figures and the lengths of all the sides. Since we only have the measures of some of the angles and the lengths of two sides, we cannot prove that the figures are congruent.
true or false: for any two random variables x and y, -1 < p < 1
Answers
Answer: false
Step-by-step explanation:
1. FALSE. If X and Y are independent, then P(X=x, Y=y) = P(X=x)*P(Y=y). So, the value is not 0 in general. In fact, it holds value if at least one of P(X=x) and P(Y=y) posses value 0. 2. TRUE. An event and its complement event constitutes the total s
True, for any two random variables x and y, -1 < p < 1.
The value p represents the correlation coefficient between two random variables x and y. The correlation coefficient measures the strength and direction of the linear relationship between the variables. The range of p is between -1 and 1. If p is closer to -1, it implies that there is a strong negative correlation between x and y, meaning that as x increases, y decreases. If p is closer to 1, it implies that there is a strong positive correlation between x and y, meaning that as x increases, y also increases. If p is 0, it implies that there is no correlation between x and y.
Therefore, for any two random variables x and y, -1 < p < 1, as the correlation coefficient p must fall within this range.
To know more about correlation coefficient visit:
https://brainly.com/question/27226153
#SPJ11
Marilyn needs to buy two Series EE savings bonds as graduation gifts for her cousins. She has $75 to spend. What could be the face value on each bond? (Hint: The face values of the bonds she can buy are $50, $75, and $100. )
Answers
Marilyn has $75 to spend on two Series EE savings bonds as graduation gifts. The face values of the bonds she can buy are $50, $75, and $100. Therefore, she could buy two $50 bonds.
Since Marilyn has $75 to spend and she needs to buy two bonds, the total face value of the bonds she can purchase must be equal to $75.
Let x be the face value of the first bond, then the face value of the second bond must be 75 - x.
The face values of the bonds are $50, $75, and $100, so we can set up the following three equations
x + (75 - x) = 75 (since the total face value must be $75)
x = 50 (since the face value must be $50, $75, or $100)
x = 100 (since the face value must be $50, $75, or $100)
Solving these equations, we find that the possible face values for each bond are $50 and $25, $75 and $0, or $100 and $-25 (which is not a valid option).
Therefore, Marilyn could buy two bonds with face values of $50 each, or one bond with a face value of $75 and the other with a face value of $0 (which essentially means she would only be buying one bond).
To know more about bonds:
https://brainly.com/question/29198106
#SPJ4
1. The value of (301)^2 – (300)^2 is
Answers
(301)^2-(300)^2
it is in the form of
a^2-b^2=(a+b)(a-b)
so,
(301+300)(301-300)
(601)(1)=601
Evaluate the definite integral I = S4 0 (|x²-4| - x²)dx
Answers
The result for the evaluation of the given definite integral is 24, under the condition that the given definite integral is \(I = \int\limits^4_0 { (|x^{2} -4| - x^{2} )} \, dx\) .
The provided definite integral \(I = \int\limits^4_0 { (|x^{2} -4| - x^{2} )} \, dx\)can be split into two integrals by using integration by parts
\(I = \int\limits^4_0 { (|x^{2} -4| - x^{2} )} \, dx = \int\limits^2_0 {(4-x^{2} )} \, dx - \int\limits^4_2 {(x^{2} -4)} \, dx\)
Hence, the first integral \(\int\limits^2_0 {(4-x^{2} )} \, dx\) is
\(\int\limits^2_0 {(4-x^{2} )} \, dx\) \(= [4x - (1/3)x^{3} ]\)
= [8/3]
Then, the second integral \(\int\limits^4_2 {(x^{2} -4)} \, dx\) is
\(\int\limits^4_2 {(x^{2} -4)} \, dx\) = [-x³/3 + 4x]
= [-64/3]
Now,
I = [8/3] - [-64/3]
= [72/3]
= 24.
The result for the evaluation of the given definite integral is 24, under the condition that the given definite integral is \(I = \int\limits^4_0 { (|x^{2} -4| - x^{2} )} \, dx\)
To learn more about definite integral,
https://brainly.com/question/31344244
#SPJ4
The table represents an exponential function. What is the multiplicative rate of change of the function? X, 1,2,3,4 Y, 6,4,8/3,16/9
Answers
Mark makes bouquet arrangements. He puts 1 tulip for every 4 daisies in each arrangement. The table below shows the number of tulips and daisies Mark uses for different arrangements.
Arrangement Daisies Tulips
1 4 1
2 8 2
3 12 3
4 16 4
How many daisies and tulips will there be in the 7th arrangement?
Answers
Following the proportions given in the table, it is found that in the 7th arrangement, there will be:
28 daisies.7 tulips.From the table, it can be seen that for the nth arrangement, the number of daisies and tulips follows a proportional relationship, that is:
There are 4n daisies.There are n tulips.Hence, in the 7th arrangement, there will be:
28 daisies, as 4 x 7 = 28.7 tulips, as n = 7.You can learn more about proportions at https://brainly.com/question/24372153
How many liters of water must Sharon add to 2 liters of a sugar and water solution that is 36% sugar to create a solution that is 12% sugar? Answer: liters
Answers
Answer:
4 liters.
Step-by-step explanation:
From the question above, we are required to find the amount of water that should be added to a sugar and water solution.
Let x represent the amount of water that would be added by Sharon.
2×36/100= 12/100(2+x)
2×0.36= 0.12(2+x)
Cross multiply both sides
0.72= 0.24+0.12x
Collect the like terms
0.72-0.24= 0.12x
0.48= 0.12x
Divide both sides by the coefficient of x which is 0.12
0.48/0.12= 0.12x/0.12
x= 4
Hence Sharon should add 4 liters of water to 2liters of sugar and water solution that is 36% sugar to form a solution of 12% sugar.
Answer:
4 liters is the correct answer
Step-by-step explanation:
The future of news? virtual reality de la pena has worked in multiple media in terms of journalism. which has had the most significant impact on her? why do you think so?
Answers
Virtual reality has had the most significant impact on de la Pena's journalism career due to its ability to provide a more immersive and engaging news experience and its potential to reach a wider audience.
The question is about the future of news and the impact of virtual reality on de la Pena's journalism career.
In terms of the most significant impact on de la Pena's career, it can be argued that virtual reality has had the most significant impact. This is because virtual reality has revolutionized the way news is presented and consumed.
Virtual reality allows journalists like de la Pena to immerse their audience in a story by providing a more immersive and engaging experience. By using virtual reality, de la Pena has been able to create powerful and impactful stories that allow the audience to experience events and situations firsthand. This has the potential to create a deeper understanding and empathy among viewers.
Furthermore, virtual reality has also expanded the reach of journalism by allowing audiences from different parts of the world to experience stories that they wouldn't have been able to otherwise. This has the potential to foster a more global perspective and increase awareness of important issues.
Overall, virtual reality has had the most significant impact on de la Pena's journalism career due to its ability to provide a more immersive and engaging news experience and its potential to reach a wider audience.
To know more about journalism refer here:
https://brainly.com/question/20883382
#SPJ11
GCF of 28,42,and 56.
Please show work
Answers
Step-by-step explanation:
If we factorize the numbers, we may be able to surmise the GCF:
28 = 2 × 2 × 7
42 = 2 × 3 × 7
56 = 2 × 2 × 2 × 7
∴ the GCF is 2 × 7 = 14
FIND THE equation of the linear function represented by the table below in slope intercept form
Answers
Answer:
y= -2x - 1
Step-by-step explanation:
Take two of the points given by the data in the table.
Using the x-values 1 and 2, they have a y-value of -3 and -5, respectively.
Therefore, we can write these out as coordinate points: (1, -3) and (2, -5).
The equation to find the slope of a line is:
\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)Substitute these points into this formula to find the slope of this linear function.
\(\displaystyle m= \frac{-5-(-3)}{2-1}\)Simplify and solve for the slope m.
\(\displaystyle m=\frac{-2}{1} =-2\)The slope of this linear function is -2. Now, we can use this slope and substitute it into the point-slope equation along with another one of the points on the function.
Point-slope equation:
\(y-y_1=m(x-x_1)\)Substitute m = -2 and the point (1, -3) into this equation.
\(y-(-3)=-2(x-1)\)Simplify this equation and put it into slope-intercept form: \(y=mx+b\).
\(y+3=-2x+2\) \(y=-2x-1\)The equation of the linear function represented by the table is y = -2x - 1.
Answer:
y= -2x - 1
Step-by-step explanation:
Take two of the points given by the data in the table.
Using the x-values 1 and 2, they have a y-value of -3 and -5, respectively.
Therefore, we can write these out as coordinate points: (1, -3) and (2, -5).
The equation to find the slope of a line is:
Substitute these points into this formula to find the slope of this linear function.
Simplify and solve for the slope m.
The slope of this linear function is -2. Now, we can use this slope and substitute it into the point-slope equation along with another one of the points on the function.
Point-slope equation:
Substitute m = -2 and the point (1, -3) into this equation.
Simplify this equation and put it into slope-intercept form: .
The equation of the linear function represented by the table is y = -2x - 1.
Simplify 3x + (2+7x)
Answers
Answer:
10x+2
Step-by-step explanation:
3x+(2+7x)=3x+2+7x
=10x+2
What set of reflections would carry hexagon ABCDEF onto itself?
Hexagon ABCDEF on the coordinate plane with point A at negative 1, 1, point B at negative 3, 1, point C at negative 4, 2, point
(4 points)
x-axis, y=x, x-axis, y=x
y=x, x-axis, y=x, y-axis
y-axis, x-axis, y-axis
x-axis, y-axis, y-axis
Answers
Answer:
Took FLVS test and got it right
A. y=x, x-axis, y=x, y-axis.
Step-by-step explanation:
Took FLVS test and got it right
A. y=x, x-axis, y=x, y-axis.
(If your answer is correct,I'll mark you as brainliest.) John commutes each day to work either by train or by bus the bus cost 10 + 2 per trip the train cost 15 + $1.50 per trip. What is the most number of trips John can make before the bus cost more than the train?
Answers
Answer:
8 trips.
Step-by-step explanation:
15 + 1.50 = 16.50
16.50 divided by 2 = 8.25
what is the solution for x+1*-4x+1
Answers
The solution to the product of the given equation is:
-4x² - 3x + 1
How to multiply linear equations?A linear equation is defined as an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.
Thus, looking at the given equation, we have:
(x + 1) * (-4x + 1)
Expanding this gives:
-4x² - 4x + x + 1
-4x² - 3x + 1
Read more about Linear Equations at: https://brainly.com/question/28732353
#SPJ1
A letter is selected at random from the alphabet. What is the probability it is NOT a vowel?
Answers
Total number of letters in alphabet = 26
Number of vowels = 5
Number of letters not vowels(consonants) = 21
Let's find the probability that a letter selected at random is not a vowel.
To find the probability, we have the formula:
\(undefined\)The length of a rectangle is twice it’s width. The length is 4 1/2 feet. What is the area of the rectangle?
Answers
Answer:
The area of the rectangle is 10.125 ft. squared
Step-by-step explanation:
First you take the length, since you know that half of the length is equal to the width divide it by 2
4.5/2= 2.25
Since you get the area of a rectangle by multiplying length by width you multiply
2.25*4.5= 10.125
so the area of the rectangle is 10.125 ft. squared
Annika's older cousin borrowed $800 to repair her car she will pay off the loan after 2 years by paying back the principal plus 4.5% simple interest for each year
A.how much will she pay in interest?
Answers
Annika will spend for the interest is $72.
Answer:
$72.
Step-by-step explanation:
The volume of a cylindrical tin can with a top and a bottom is to be 16Ï€ cubic inches. If a minimum amount of tin is to be used to construct the can, what must be the height, in inches, of the can?
A 2 cube root of 2
B 2 sqrt of 2
C 2 cube root of 4
D 4
E 8
Answers
To minimize the amount of tin used, the height of the can must be 4 inches (option D).
The volume of a cylindrical tin can is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. To minimize the amount of tin used, we need to minimize the surface area, which is given by the formula A = 2πrh + 2πr².
Given the volume is 16π cubic inches, we have:
16π = πr²h
Now, we can find the relationship between r and h:
h = 16/r²
Now, substitute this into the surface area formula:
A = 2πr(16/r²) + 2πr²
A = 32π/r + 2πr²
To minimize the surface area, we can take the derivative with respect to r and set it to 0:
dA/dr = -32π/r² + 4πr
0 = -32π/r² + 4πr
Solving for r:
r³ = 8
r = 2 (since r > 0)
Now, substituting r back into the relationship between r and h:
h = 16/(2²)
h = 16/4
h = 4
Therefore, the height of the can must be 4 inches (option D) to minimize the amount of tin used.
Learn more about minimizing surface area here: https://brainly.com/question/29897121
#SPJ11
if 6x+10=24 what is the value of
3x+5 ?
Answers
Answer:
12
Step-by-step explanation:
6x + 10 = 24 Subtract 10 from each side
6x + 10 - 10 = 24 - 10
6x = 14 Divide both sides by 6
\(\frac{6x}{6}\) = \(\frac{14}{6}\)
x = \(\frac{7}{3}\)
3x + 5
3(\(\frac{7}{3}\)) + 5 or \(\frac{3}{1}\)(\(\frac{7}{3}\)) + 5 = \(\frac{21}{3}\) + 5 = 7+5
7 + 5
12
Helping in the name of Jesus'
Ruby just started a running plan where she runs 7 miles the first week and then increases the number of miles she runs by 10% each week. If she keeps up this plan for 26 weeks, how many total miles would ruby have run, to the nearest whole number?
Answers
764 total miles would ruby have run. This can be solved by the concept of geometric sequence.
What is geometric sequence?When two subsequent terms in a numerical series have a constant ratio, the sequence is said to be geometric. The geometric sequence's common ratio is the name of this constant.
Similar to an arithmetic sequence, the initial term a, and the common ratio r determine the entirety of a geometric series. Therefore, we may get the equation for the nth term of a geometric series if we know the first two terms.
Given that,
she runs 7 miles the first week (a₁)
increases the number of miles she runs by 10% each week
she keeps up this plan for 26 weeks.
Let us, assume,
a(n) represents no. of miles she runs at nth week.
a(n) is in geometric sequence.
now, a(n) / a(n-1) = 1 + 10% = 1.1 (increased by 10%)
So, the sum of first nth terms:
S(n) = a(1)[ 1 - rⁿ] / (1 - r)
S(n) = 7 [ 1 - (1.1)ⁿ] / (1 - 1.1)
S(n) = 70 [ (1.1)ⁿ - 1]
Now, n = 26
So, S(26) = 70 [ (1.1)²⁶ - 1]
S(26) = 764 miles.
To know more about geometric sequence refer to:
https://brainly.com/question/24643676
#SPJ4
A rectangular birthday present, 3 in. by 7 in. by 8 in., is covered by wrapping paper. How much wrapping paper is required?
a.
146 sq. in.
b.
101 sq. in.
c.
202 sq. in.
d.
168 sq. in.
Answers
The amount of wrapping paper that is required is; c. 202 sq. in.
What is the surface area of the rectangular cuboid?The formula for the surface area of a rectangular cuboid is given as:
SA = 2(lw + lh + hw)
where;
l = length
h = height
w = width
We are given;
Length; l = 3 in.
Width; w = 7 in.
Height; h = 8 in.
Thus, surface area is;
SA = 2((3*7) + (3*8) + (8*7))
SA = 2(21 + 24 + 56)
SA = 2(101)
SA = 202 sq. in
Read more about surface area of the rectangular cuboid at; https://brainly.com/question/20919556
#SPJ1