What are the solutions to the inequality? Graph the solutions. x/5 greater than or equal to -2
Answers
">" is the greater than sign, and ">" means it is greater than or equal to since it is underlined. All you have to do now is put the inequality into slope-intercept form (y = mx + b) and plot the line on a graph.
In this inequality, -2 is y and x/5 is x. Just rearrange the terms while still keeping the answer the same.
x/5 > -2
-2 < x/5 Notice that the sign changed to "less than or equal to." This is because x/5 is still greater than or equal to -2, which makes -2 less than or equal to x/5.
Since it is "or equal to," we can discover what x could be by multiplying -2 by 5, which is -10. So the non-dotted line goes over the point -10 on the x-axis, straightly vertical without a slope, and everything that is greater than -10 is shaded, which is everything on the right side of the line. It should look like the attachment below.
A site titled "www.desmos.com/calculator" might help you in the future. I hope my explanation made sense!
Related Questions
1.17 - 0.07a + (-3.92a)
Answers
Combine Like Terms:
1.17+(-0.07a)+(-3.92a)
(-0.07a+ -3.92a) +1.17
-3.99a + 1.17
Answer: -3.99a + 1.17
I hope this helps!
Answer:
The simplified form of the given expression is [tex]1.17-3.99a[/tex].
Step-by-step explanation:
The given expression is
[tex]1.17-0.07a+(-3.92a)[/tex]
The given expression can be written as
[tex]1.17-0.07a-3.92a[/tex]
Now, combine the like terms.
[tex]1.17+(-0.07a-3.92a)[/tex]
[tex]1.17+(-3.99a)[/tex]
[tex]1.17-3.99a[/tex]
Therefore the simplified form of the given expression is [tex]1.17-3.99a[/tex].
write an equation of the line, in slope intercept form, that passes through the given point and has the given slope. point:(8,-8), slope:3
Answers
-8 = 3(8) + b
Multiply 8 and 3.
-8 = 24 + b
Subtract 24 from both sides to isolate b.
-32 = b
Your equation would look like this:
y = 3x - 32
If sin theta = 3/5 and cos theta <0 find tan theta
Answers
Find cos to be -4/5
then
tan=sin/cos=(3/5)/(-4/5)=-3/4
Determine which equations below, when combined with the equation 3x-4y=2, will form a system with no solutions. Choose all that apply.
A) 2y = 1.5x - 2
B) 2y = 1.5x - 1
C) 3x + 4y = 2
D) -4y + 3x = -2
Answers
y = mx + b
where m is slope and b is the y-intercept.
Given: 3x - 4y = 2
Slope-intercept: y = 3x/4 - 1/2
A. 2y = 1.5x - 2
Slope-intercept: y = 3x/4 - 1
B. 2y = 1.5x - 1
Slope-intercept: y = 3x/4 - 1/2
C. 3x + 4y = 2
Slope-intercept: y = -3x/4 + 1/2
D. -4y + 3x = -2
Slope-intercept: y = 3x/4 + 1/2
Hence, the answers to this item are A and D.
Answer: D,B,B,C,D,A,C,B,D, (A-D)
ALL TEST ANSWERS
Step-by-step explanation:
Write the fraction 29 over 7 as a repeating decimal
Answers
evaluate the expression (18-6)÷(11-5), if possible
Answers
11-5=6
12 divided by 6 = 2
12 ÷ 6
2
How many 3 letter "words" can be created from the letters abcdefg when 1. repetition allowed,?
Answers
John buys big ice-cream cylindrical Jar and sells it for $1 each ice-cream cone.
Each cone has around 30 cubic cm of ice-cream in it.
Jar has diagonal 20 cm. and its height is 3 times of width.
If he sells the whole jar, and He originally bought it for $7 does he make profit out of selling the jar?
Answers
John can make a profit by selling ice cream from the cylindrical jar. After calculating the volume, he would earn approximately $15.70 in revenue, and by deducting the initial cost ($7), he makes a profit of around $8.70.
To determine if John will make a profit by selling the entire ice-cream cylindrical jar, we first need to calculate the volume of the jar to find out how many cones he can fill. The jar has a diagonal of 20 cm and a height that is three times its width. Assuming the width is 'w' and height is '3w', we can use the Pythagorean theorem with the jar's diagonal to find 'w', since the diagonal forms a right triangle with the width and height of the cylinder.
The formula for the Pythagorean theorem is diagonal^2 = width^2 + height^2, which gives us 20^2 = w^2 + (3w)^2. Solving for 'w', we get w = 4 cm and height = 12 cm. The volume 'V' of the cylinder is given by V = π * radius^2 * height, which gives us V = π * 2^2 * 12, therefore, V = 48π cm^3. Then, we divide the jar's volume by the volume of each ice cream cone to find the number of cones, 48π cm^3 / 30 cm^3/cone ≈ 5π cones.
Given that John sells each cone for $1, the total revenue from selling all the ice-cream cones would be approximately $5π. Since π is approximately 3.14, his total revenue would be about $15.70. Subtracting the initial cost of the jar ($7), we find that John would make a profit of approximately $8.70.
Therefore, John will indeed make a profit out of selling the jar of ice cream.
Newer stocks can be bought for $8 each, while older stocks can be bought for $4 each. The total cost, in dollars, of 10 stocks is represented by the expression 8s+4(10-s), where s represents the number of new stocks bought. how does changing the value of s change the value of the term 4(10-s)?
A.) For values of s less than 10, the term 4(10-s) will be negative; for values of s greater than 10, the term will be negative; for values of s equal to 10, the term will equal 0.
B.) For values of s less than 10, the term 4(10-s) will be negative; for values of s greater than 10, the term will be positive; for values of s equal to 10, the term will equal 0.
C.) For values of s less than 10, the term 4(10-s) will be positive; for values of s greater than 10, the term will be positive; for values of s equal to 10, the term will equal 0.
D.) For values of s less than 10, the term 4(10-s) will be positive; for values of s greater than 10, the term will be negative; for values of s equal to 10, the term will equal 0.
Answers
The equation given in the question is 8S + 4[10 -S], where S is the number of new stock bought.
Changing the value of S in the 4[10 - S] component of the equation will change the equation. To get the the correct option you have to considered individually all the options given in the question.
Let consider option D.
For value of S less than 10, the term will be positive. For instance, let use 6.
4 [10 - 6] = 16.
For value of S greater than 10 the value will be negative. For instance, let use 20.
4 [10 - 20] = - 40.
For value of S equal to 10, the value will be zero. For instance, let S = 0
4[10 - 10] = 0.
What does the end behavior look like of the graph of the function f(x)=-8x^4-2x^3+x?
I know what the graph itself looks like but I have trouble explain its end behavior.
Thank you.
Answers
The coefficient is -8 which is a minus. In this case, the f(x) will become minus:
The result would be:
when X go the left end(X= -∞), the f(x) will become minus (f(x)→−∞)
f(x)→−∞, as x→−∞
when X go the right end(X= +∞), the f(x) will become minus (f(x)→−∞)
f(x)→−∞, as x→+∞
A checkers board is 8 squares long and 8 squares wide. The area of each square is 14 square centimeters. Estimate the perimeter of the checkers board to the nearest tenth of a centimeter.
Answers
Area of each square = 14 sq. cm.
length of each square = sqrt(14) = 3.7 cm
length of one side = 8 x 3.7 = 29.6 cm
Perimeter of the checker board = 4 x 29.6 = 118.4 cm
The perimeter of the checker board 118.4 cm
Area of each square = 14 sq. cm.
What is the length?
The square root of area is the length of one side
[tex]length of each square =\sqrt{14} = 3.7 cm[/tex]
[tex]length of one side = 8 * 3.7 = 29.6 cm[/tex]
What is the formula for perimeter of square?Perimeter (P) =4 (length of side a)
[tex]P=4a[/tex]
[tex]Perimeter of the checker board = 4 *29.6 = 118.4 cm[/tex]
Therefor we get the perimeter of the checker board 118.4 cm
To learn more about the perimeter of square visit:
https://brainly.com/question/25092270
Jessie is completing a mental rotation experiment. her reaction time will be fastest when the objects are rotated: 120 degrees. 180 degrees. 240 degrees. 60 degrees.
Answers
the set of ____ contains all the whole numbers amd their opposite
Answers
The set of integers contains all the whole numbers and their opposite!
Hope this helps! :)
Hope this helps! :)
If you are dealt two cards successively (with replacement of the first) from a standard 52-card deck, find the probability of getting a heart on the first card and a diamond on the second.
Answers
The probability of getting a heart on the first card is 13 / 52 = 1/4
Given that the first card was replaced, the probability of getting a diamond on the second card is 13 / 52 = 1/4
Therefore, the probability of getting a heart on the first card and a diamond on the second is given by 1/4 x 1/4 = 1/16.
Jade wants to buy a $200,000 term life insurance policy. She is 34 years old. Using the premium table, what is her annual premium for a 10 year policy?
Answers
The premium of $200,00 term life insurance policy is $1,202
What is Annual premium?Annualized premium is the total amount paid in a year's time to keep the life insurance policy in force. The annualized premium amount of a life insurance policy does not include taxes and rider premiums.
Given, Jade wants to buy a $200,000 term life insurance policy. She is 34 years old.
Jade wants to buy a $200,000 term life insurance policy. She is 34 years old.
Since, Jade is female.
Using table for 10-year policy: We will see the column of female.
Annual premium of life insurance per $1000 for 10-years policy term of 34-years old female = $6.01
For $1000 life insurance premium = $6.01
For $1 life insurance premium = $0.00601
For $20000 life insurance premium = 200000 x 0.00601
For $20000 life insurance premium = $ 1,202
Therefore, The premium of $200,00 term life insurance policy is $1,202
Learn more about annual premium here:
https://brainly.com/question/9834518
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5377 people/km^2= how many people/m^2 ?
Answers
Answer:
0.005377 people/m²
Step-by-step explanation:
5377 people/km² can written as
5377 × [tex]\frac{people}{km^2}[/tex]
Now we have to find the value in [tex]\frac{people}{meter^2}[/tex]
Since 1 km = 1000 meter.
So 5377 × [tex]\frac{people}{km^2}[/tex] = 5377 × [tex]\frac{people}{(1000)^2met^2}[/tex]
= [tex]\frac{5377}{(1000)^2}[/tex] people per met²
= [tex]\frac{5377}{(1000000)}[/tex]
= 0.005377 people/m²
1. Write the expression in simplified radical form. Show your work. 3 – 2√11/ 2 +√11
Answers
you mean (3-2√11)/(2+√11) I guess
(3-2√11)(2-√11)/(2+√11)(2-√11)
(28-7√11)/(-7)
therefore the answer is √11-4
[tex] \sqrt{11} - 4[/tex]
EXPLANATION
The given radical expression is
[tex] \frac{3 - 2 \sqrt{11} }{2 + \sqrt{11} } [/tex]
We rationalize the radical expression by multiplying both the numerator and denominator by the conjugate of
[tex]2 + \sqrt{11} [/tex]
which is
[tex]2 - \sqrt{11} [/tex]
This will give us,
[tex] \frac{3 - 2 \sqrt{11} }{2 + \sqrt{11} } \times \frac{2 - \sqrt{11} }{2 - \sqrt{11} } [/tex]
[tex] \frac{(3 - 2 \sqrt{11})(2 - \sqrt{11} ) }{(2 + \sqrt{11})(2 - \sqrt{11} ) }[/tex]
We expand the numerator and also apply difference of two squares to the denominator.
[tex] \frac{6 - 3 \sqrt{11} - 4 \sqrt{11} + 2(11)}{ {2}^{2} - { (\sqrt{11} )}^{2} } [/tex]
This simplifies to,
[tex] \frac{6- 3\sqrt{11} - 4 \sqrt{11} + 22}{ 4- 11} [/tex]
[tex] \frac{28- 7 \sqrt{11} }{ - 7} [/tex]
We now share the denominator for the numerators to obtain,
[tex] - \frac{28}{7} + \frac{7 \sqrt{11} }{7} [/tex]
This finally gives,
[tex] - 4 + \sqrt{11} = \sqrt{11} - 4[/tex]
A survey was taken on pet ownership. 750 people were covered on the first day of the survey. The number tripled every subsequent day. Find the total number of people surveyed in 6 days
A. 265100
B. 265200
C. 273000
D. 265700
Answers
day two: 750 * 3 = 2250
day three: 2250 * 3 = 6750
day four: 6750 * 3 = 20250
day five: 20250 * 3 = 60750
day six: 60750 * 3 = 182250
add it all together: 750 + 2250 + 6750 + 20250 + 60750 + 182250 = 273000
The answer is C, 273000.
To find the total number of people surveyed in 6 days with numbers tripling each day starting with 750, we calculate the number for each day and sum them up, giving a total of 273000 people surveyed.
To calculate the total number of people surveyed in 6 days if 750 people were covered on the first day and the number tripled every subsequent day. We will use an exponential growth formula to find the answer.
On Day 1: 750 people.
On Day 2: 750 × 3 = 2250 people.
On Day 3: 2250 × 3 = 6750 people.
On Day 4: 6750 × 3 = 20250 people.
On Day 5: 20250 × 3 = 60750 people.
On Day 6: 60750 × 3 = 182250 people.
To find the total number of people surveyed over the 6 days, we add up the total number of people surveyed each day:
750 + 2250 + 6750 + 20250 + 60750 + 182250 = 273000 people.
Therefore, the correct answer is C. 273000.
There are 20 girls on the basketball team. of these, 17 are over 16 years old, 12 are taller than 170 cm, and 9 are both older than 16 and taller than 170 cm. how many of the girls are older than 16 or taller than 170 cm?
Answers
Final answer:
By using the principle of inclusion-exclusion, we calculate that all 20 girls on the basketball team are either over 16 years old or taller than 170 cm, as the sum of the individual criteria minus the intersection equals the total number of girls on the team.
Explanation:
To determine how many of the girls on the basketball team are either over 16 years old or taller than 170 cm, we can use the principle of inclusion-exclusion. According to the information provided, there are 20 girls on the team in total, of which 17 are over 16 years old, 12 are taller than 170 cm, and 9 satisfy both criteria. The principle of inclusion-exclusion states that the number of elements in the union of two sets is equal to the sum of the sizes of each set minus the size of their intersection.
Using this principle:
Number of girls over 16 years old: 17
Number of girls taller than 170 cm: 12
Number of girls who are both over 16 and taller than 170 cm: 9
The calculation would be as follows:
17 (over 16) + 12 (taller than 170 cm) - 9 (both) = 20
Therefore, there are 20 girls on the team who are either older than 16 or taller than 170 cm.
You know, this question "functions" just as well as the Kardashians. Not at all, at least to my brain! I definitely need help with this.
Answers
The question is asking what is Y, when X equals 1. It is referring to the standard formula B(x). If x on the graph were to equal 1, what would be the Y?
For this just look at the horizontal x-axis and find 1.
*On the left side is negative numbers going from right to left -1 to -4 and the right side from left to right 1 to 4
So when you look at the graph on line 1, there is a dot at the point (1,2)
Thus, 2 is the answer.
PLEASE HELP ME DO NOT HELP IF YOU DO NOT KNOW HOW TO DO IT
The state of Colorado had roughly the shape of a rectangle that is 3.8 x 10^2
2.8 x 10^2 miles high. What is the approximate area of Colorado? hint: the area of the rectangle is a product of its length and width.
Answers
Let 3.8 x 10^2 = width
Let 2.8 x 10^2 = length
Search your book or online for instructions on how to multiply in terms of scientific notation.
A = (2.8 x 10^2)(3.8 x 10^2)
Take it from here.
ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin. It is then reflected across the line y = -x. What are the coordinates of the vertices of the image?
Answers
Answer:
A(0, -3) ; B(3, -2) and C(1, -1).
Step-by-step explanation:
Given : ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin.
To find : What are the coordinates of the vertices of the image.
Solution : We have given
Vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise.
By the rotation rule of 180° clockwise : (x ,y) →→ ( -x ,-y).
Then vertices would be
A(-3, 0) →→ A(3, 0)
B(-2, 3) →→ B(2, -3)
C(-1, 1) →→ C(1, -1).
Reflection y = -x then
A(0, -3) ; B(3, -2) and C(-1, 1).
Therefore, A(0, -3) ; B(3, -2) and C(1, -1).
Suppose you had d dollars in your bank account. You spent $12 but have at least $51 left. How much money did you have initially? Write and solve an inequality that represents this situation.
A.
d+12 51; d 75
B.
d + 12 51; d 75
C.
d-12 51; d 63
D.
d-12 > 51; d > 63
Answers
Amount spent = $12
Because the amount left is at least $51, therefore
d - 12 ≥ 51
Add 12 to each side.
d ≥ 51 + 12
d ≥ 63
Note: The amount left is at least $51. Therefore the amount left should be $51, or greater than $51.
Answer:
d - 12 ≥ 51
d ≥ 63
For the points M(-2,3), N(4,5), P(1,6) and Q(4,-3), what is the relationship between MN and PQ?
Answers
PQ=sqrt((4-1)^2+(-3-6)^2)=3*sqrt(10)
MN/PQ=(2*sqrt (10))/(3*sqrt (10))=2/3
[sqrt=square root]
Elliott purchased shares of Microsoft in 2008 for $28 per share. He plans to sell them as soon as the price rises 20%. At what price will he sell his shares?
Answers
Since we are to find the price when it is risen 20%, therefore the fractional increase must be 0.20 of the original, therefore:
amount increased = $28 * 0.20 = $5.60
So the selling price must be:
selling price = $28 + $5.60 = $33.60
Final answer:
Elliott will sell his Microsoft shares at a price of $33.60 each after a 20% price increase from his initial purchase price of $28 per share.
Explanation:
The question concerns the calculation of a future selling price of shares after a certain percentage increase. To find the selling price after a 20% increase on Elliott's initial purchase price of $28 per share, we first calculate the 20% increase, which is 0.20 × $28 = $5.60. Next, we add this increase to the original purchase price to determine the selling price: $28 + $5.60 = $33.60 per share. Therefore, Elliott plans to sell his shares when their price reaches $33.60 each.
Help please I’ll mark you brainliest
Answers
-1 - (-6)
4 - (-1)
9 - 4
14 - 9
All of the above subtractions give the same answer.
That answer is the common difference.
The longer leg of a right triangle is 4cm longer than the shorter leg the hypotenuse is 8 cm longer than the shorter find the side lengths of the triangle
Answers
4cm longer than the shorter leg x + 4 = length of longer leg
hypotenuse is 8 cm longer than the shorter
x + 8 = length of hypotenuse
phytagorus rule
x^2 + (x+4)^2 = (x+8)^2
x^2 + x^2 +8 x + 4^2 = x^2 + 16x + 8^2
x^2 - 8x - 48 =0
(x + 4 ) (x - 12) - 0
x= - 4 we reject negative number
so x= 12
The side lengths of the triangle are 8 cm, 12 cm, and 16 cm
To solve for the side lengths of the right triangle, we can use the Pythagorean Theorem, which states that for any right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Mathematically, this is written as a^2 + b^2 = c^2.
Let's denote the shorter leg of the triangle as x. Then, according to the problem, the longer leg is x + 4 cm and the hypotenuse is x + 8 cm. Plugging these expressions into the Pythagorean Theorem, we have:
x^2 + (x + 4)^2 = (x + 8)^2
Expanding and simplifying the equation:
x2 + x2 + 8x + 16 = x2 + 16x + 64
2x2 + 8x + 16 = x2 + 16x + 64
x2 - 8x - 48 = 0
Solving this quadratic equation for x, we find:
x = 8 cm (shorter leg)
x + 4 = 12 cm (longer leg)
x + 8 = 16 cm (hypotenuse)
Therefore, the side lengths of the triangle are 8 cm, 12 cm, and 16 cm
Katie jogged 2.4 miles on Monday, 3.7 miles on Tuesday, and 2.9 miles on Wednesday. How many miles did Katie jog on Thursday if she jogged a total of 12.1 miles for the four days
Answers
- 2.4 Monday
3.7 Tuesday
2.9 Wednesday
_______________
3.1 Thursday
Please refer the image for Answer!
Hope it helps...!!!
HELP MEH PLEZ! When the county fair opened its gates, 68 people entered the fairgrounds. After one hour, there were 1.5 times as many people on the fairgrounds as when the gates opened. After two hours, there
Answers
The equation representing the number of people, y, at the fair x hours after the gates open:
y = 68 * 1.5^(x-1)
Initial number of people: 68 (given)
Growth factor per hour: 1.5 (given)
Number of hours since gates opened: x
The equation uses the following logic:
Start with the initial number of people (68).
Multiply by the growth factor (1.5) to account for the increase after the first hour.
Since the growth factor applies after each hour, raise it to the power of (x-1) to account for the total number of times it's applied after x hours. This is because the first hour's growth is already accounted for in the initial number.
Therefore, the equation y = 68 * 1.5^(x-1) accurately represents the number of people at the fair x hours after opening.
Complete question:
When the county fair opened its gates, 68 people entered the fairgrounds. After one hour, there were 1.5 times as many people on the fairgrounds as when the gates opened. After two hours, there were 1.5 times as many people on the fairgrounds as the previous hour. If this pattern continues, write the equation representing the number of people, y, at the fair x hours after the gates open.
Dimitri deposited 60% of his paycheck into a savings account be deposited $41.67 what was the total of his check