Write an inequality with a variable on one side, a negative integer on the other side, and one of the inequality symbols in between. Give a value that is a solution of the inequality you wrote, AND a value that is not a solution of the inequality.
Answers
Answer: Let's try x = 1 as a potential solution:
Substituting x = 1 into the inequality:
3(1) - 7 ≥ -10
3 - 7 ≥ -10
-4 ≥ -10
Since -4 is greater than or equal to -10, x = 1 is a solution to the inequality.
Let's try x = -3 as a potential solution:
Substituting x = -3 into the inequality:
3(-3) - 7 ≥ -10
-9 - 7 ≥ -10
-16 ≥ -10
Since -16 is not greater than or equal to -10, x = -3 is not a solution to the inequality.
Therefore, x = 1 is a solution to the inequality 3x - 7 ≥ -10, while x = -3 is not a solution.
Step-by-step explanation:
Related Questions
I NEED HELP ASAP!!!!!!!
Answers
Answer:
x= -4 y=5
Step-by-step explanation:
2 and 1/6 of a foot converted into inches as a fraction
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Answer:
26 inches
Step-by-step explanation:
1 foot = 12 inches
Find all solutions of the equation in the interval [0, 2pi).
sinx = 1 - cosx
Write your answer(s) in radians in terms of t.
If there is more than one solution, separate them with commas.
Answers
Answer:
Step-by-step explanation:
Begin by squaring both sides to get rid of the radical. Doing that gives you:
\(sin^2x=1-cosx\)
Now use the Pythagorean identity that says
\(sin^2x =1-cos^2x\) and make the replacement:
\(1-cos^2x=1-cosx\). Now move everything over to one side of the equals sign and set it equal to 0 so you can factor:
\(1-cos^2x+cosx-1=0\) and then simplify to
\(cosx-cos^2x=0\)
Factor out the common cos(x) to get
\(cosx(1-cosx)=0\) and there you have your 2 trig equations:
cos(x) = 0 and 1 - cos(x) = 0
The first one is easy enough to solve. Look on the unit circle and see where, one time around, where the cos of an angle is equal to 0. That occurs at
\(x=\frac{\pi }{2},\frac{3\pi}{2}\)
The second equation simplifies to
cos(x) = 1
Again, look to the unit circle and find where the cos of an angle is equal to 1. That occurs at π only.
So, in the end, your 3 solutions are
\(x=\frac{\pi}{2},\pi,\frac{3\pi}{2}\)
Autumn has $5 in her wallet. If this is 20% of her monthly allowance, what is her
monthly allowance?
Answers
Answer:
Her monthly allowance is $25
Step-by-step explanation:
20% Of 25 is 5
Answer:
Autumn's monthly allowance is $25.
Step-by-step explanation:
5 x 5 = 25
To check: 25 x 0.20 = 5
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
a computer that normally cost 500 dolars was on sale for 200 dollars. what is the percent decrease. please show work for brainlist
Answers
Answer:
(100/500) *200 =40%
Step-by-step explanation:
look at the image below forr the question please show step by step
Answers
Solution:
Given the equation:
\(v=\frac{r-s}{2}\)To solve for the variable r,
step 1: Multiply both sides by 2.
This gives
\(\begin{gathered} 2\times v=2\times\frac{r-s}{2} \\ \Rightarrow2v=r-s \end{gathered}\)step 2: Add s to both sides of the equation.
Thus, we have
\(\begin{gathered} s+2v=r-s+s \\ \Rightarrow r=2v+s \end{gathered}\)Hence, we have
\(r=2v+s\)The correct option is
Geometry I need help
Answers
Figure O is reflected followed by a translation of 4 units in the left direction.
Given that:
Figure O and Figure P are shown on the graph.
The translation does not change the shape and size of the geometry. But changes the location.
Figure O is translated leftward by 4 units.
The reflection does not change the shape and size of the geometry. But flipped the image. A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersect the line of reflection at a right angle.
The translated figure O is reflected across the x-axis.
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This Question: 1 pt
17 of 29
Emma has $160 cash to spend at a music store. How much can she spend on items if there is a 7% sales tax?
Emma can spend on items.
(Round to the nearest cent as needed.)
Answers
Answer:
i would say $148.80
Step-by-step explanation:
tax would amount to 11.20 so when you subyract that from the total then the rest is what she can spend.
Rewrite in vertex form. y=x2+2x+6
Answers
Answer:
\(y = {x}^{2} + 2x + 6 \\ y = {( - 1 + i)}^{2} \)
Answe
y=(x+1)2+5
Step-by-step explanation:
A study was conducted to determine if the salaries of the professors from two neighbouring universities were
equal. A sample of 20 professors from each university was randomly selected. The mean from the first university
was $109,100 with a population standard deviation of $2300. The mean from the second university was $110,500
with a population standard deviation of $2100. Assume that the distribution of professor salaries, at both
universities, are approximately normally distributed. Level of significance = 0.05.
Use the four-step P-value approach and test the claim that the salaries from both universities are equal.
Answers
Answer:
After calculating values from test statics we come to know that value of if null hypothesis is true then it will rejected
As critical values of z is ±1.96 after apply the test statics formula , we get the value of z that is - 4.50 As we consider the equation that
H₀ > z
Apply test statistic we fine the true value . So there is sufficient evidence to reject the claim.
Step-by-step explanation:
critical values z₀ = ±1.96; standardized test statistic z ≅ -4.50;
reject H₀
There is sufficient evidence to reject the claim.
can someone please help me
50 points
Answers
Answer:.
Step-by-step explanation im not sure
Answer:
Step-by-step explanation:
47.) sin20 = 6/b
b = 6(sin20) = 17.5
c = √6²+17.5² = 18.5
48.) tan61 = y/18
y = 18(tan61) = 32.5
z = √18²+32.5² = 37.1
49.) r = √25²+23² = 34
50). d = √30²+7² = 30.8
51.) sin71 = j/19
j = 19(sin71) = 18
k = √19²-18² = 6.2
52.) y = √4²-1² = √7 = 2.6
53.) sin49 = f/26
f = 26(sin49) = 19.6
h = √26²-19.6² = 17
54.) t = √7²+4² = 8.1
hi can someone help me with is problem on how to break it down so I can explain it to my daughter. please.
Answers
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Explanation:
Refer to the drawing below. I have a 2 by 5 grid of squares. So there are 2*5 = 10 squares total.
Four of those squares are shaded blue to represent the fraction \(\frac{4}{10}\)
If Susan used 4 blue tiles (instead of 12), then she'd have 10 tiles total. This would mean 10 would be the answer.
However, she's using 12 blue tiles. The jump from 4 to 12 is "times 3". So we'll need to multiply that 10 by 3 as well.
10*3 = 30
If Susan uses 12 blue tiles, then she has 30 tiles total.
Notice that the fraction \(\frac{4}{10}\) is the same as \(\frac{12}{30}\) after multiplying both top and bottom by 3.
\(\frac{4}{10}= \frac{4*3}{10*3}= \frac{12}{30}\)
If you wanted, you can split a round cake into 10 equal slices. If a person eats 4 slices, then that represents the fraction \(\frac{4}{10}\). Now imagine splitting each of those initial ten slices into three smaller pieces. If you manage to do so, then you'd have 30 very small slices. The four that the person ate would have effectively eaten 12 very small slices. So this is another way to see how \(\frac{4}{10} = \frac{12}{30}\). Personally, when it comes to fractions, I prefer using a grid of squares because it's a bit tricky sometimes to divide up circles perfectly.
Find the equation of the linear function represented by the table below inslope-intercept form.xy1-3 -723-114-15
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To find the linear equation, we use two points from the table (1, -3) and (3, -11). First, we have to find the slope with the following formula.
\(m=\frac{y_2-y_1}{x_2-x_1}\)Where,
\(\begin{gathered} x_1=1 \\ x_2=3 \\ y_1=-3 \\ y_2=-11 \end{gathered}\)Let's those coordinates to find the slope.
\(\begin{gathered} m=\frac{-11-(-3)_{}}{3-1}=\frac{-11+3}{2}=\frac{-8}{2}=-4\to m=-4 \\ \end{gathered}\)The slope is -4.
Now, we use the point-slope formula to find the equation.
\(\begin{gathered} y-y_1=m(x-x_1) \\ y-(-3)=-4(x-1) \\ y+3=-4x+4 \end{gathered}\)Now, we solve for y to express it in slope-intercept form.
\(\begin{gathered} y+3=-4x+4 \\ y=-4x+4-3 \\ y=-4x+1 \end{gathered}\)Therefore, the equation in slope-intercept form is y = -4x+1.I need a bit of help I don't really get the question
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Answer:
\(8p + 5c = p \\ 5c = p - 8p \\ 5c = - 7p \\ \frac{5c}{5} = \frac{ - 7p}{5} \\ \\ c = - \frac{7}{5} p\)
therefore:
\({ \boxed{ \boxed{c = - 1 \frac{2}{5} \: p}}}\)
Please help me! I can't solve this T-T
Answers
For the given number 4 x 5³/₈. The whole part is 4 and the fraction part is 5³/₈. Both are added together to form a fraction of 43/8.
Explain about the conversion of mixed fraction?An inappropriate fraction can be created by converting a mixed fraction. Follow the instructions below to accomplish that.
Step 1: Multiply this mixed fraction's denominator by the whole number component.Step 2: Increase the product from Step 1 by the numerator.Step 3: In the numerator/denominator form, write the improper fraction using the total from Step 2.For the given number 4 x 5³/₈.
The whole part is 4.
The fraction part is 5³/₈.
Solving the mixed fraction:
= 5³/₈.
= (5*8 + 3) /8
Both are added together to form a fraction:
= 43/8
The final number becomes:
= 4 x 5³/₈
= 4 x 43/8
= 43/2
Thus, the result of the final number obtained is 43/2.
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10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
Answers
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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If 3 students eat 2 pizzas how many pizzas are needed for 54 students
Answers
Answer:
18 pizzas
Step-by-step explanation:
Give the domain and range. On a coordinate plane, points are at (negative 2, negative 1), (0, 1), (2, 3). a. domain: {2, 0, 2}, range: {1, 1, 3} b. domain: {–1, 1, 3}, range: {–2, 0, 2} c. domain: {–2, 0, 2}, range: {–1, 1, 3} d. domain: {1, 1, 3}, range: {2, 0, 2} Please select the best answer from the choices provided A B C D
Answers
Answer:
c. domain: {-2, 0, 2}, range: {-1, 1, 3}
Step-by-step explanation:
From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.
The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.
In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.
Therefore, the correct answer is:
c. domain: {-2, 0, 2}, range: {-1, 1, 3}
Isaac mailed 5 packages that cost $27.25.
• Each package was the same size.
• All packages weighed under 2 pounds.
• There is a flat fee to mail any package under 2 pounds.
Which equation represents the total cost, y, to mail x packages that weigh less than 2 pounds?
O A. y = 2.73x
OB. y = 3.89x
O C. y = 5.45x
D. y = 13.63x
PLEASE HELP ME ASAP PLEASE ITS FOR A TEST
Answers
Answer:
It is C. 5.45x
Step-by-step explanation:
What you have to do is divide the price by the number of packages by the amount of packages
The distance from New York City to Riverhead is approximately 150 miles. On a map whose scale is 24mi= 2inch, what is the distance between the two locations in inches?
Answers
Answer:
12.5 inches
Step-by-step explanation:
Given
\(Distance = 150\ miles\)
\(Scale:= 24\ miles : 2\ inches\)
Required
Determine the measurement in inches
Represent the inches equivalent with d.
So, the scale can also be calculated as:
\(Scale:= 150\ miles: d\)
Equate both scales
\(150\ miles: d = 24\ miles ; 2\ inches\)
Convert to fraction
\(\frac{d}{150\ miles} = \frac{2\ inches}{24\ miles}\)
\(\frac{d}{150} = \frac{2\ inches}{24}\)
Multiply both sides by 150
\(150 * \frac{d}{150} = \frac{2\ inches}{24} * 150\)
\(d = \frac{2\ inches}{24} * 150\)
\(d = \frac{2\ inches * 150}{24}\)
\(d = \frac{300\ inches}{24}\)
\(d =12.5\ inches\)
Solve the equation. 4x2 + 20 = -7
Answers
Please help me with HW
\(17x = 23\)
Make x the subject
Answers
Answer:
\(\boxed{x \approx1.4}\)
OR
\(\boxed{\tt x \approx \cfrac{23}{17}} \)
Step-by-step explanation:
\( \bf \: Given \: equation : \)
\(17x = 23\)
Make x the subject means we need to find the value of x.
\( \bf \: Solution:\)
\( \tt \implies \: 17x = 23\)
Divide each side by 17 :
\(\tt \implies \cfrac{17x}{17} = \cfrac{23}{17}\)
\( \rm \: Firstly, cancel \: the \: LHS :\)
Cancel 17 ( which is on the numerator ) and cancel 17 ( which is on the denominator ) :-\(\tt \implies \cfrac{ \cancel{17}x}{ \cancel{17}} = \cfrac{23}{17} \)
Results to,\(\tt \implies \: \cfrac{1x}{1} = \cfrac{23}{17} \)
\(\tt \implies1x = \cfrac{23}{17} \)
\(\tt \implies{x} = \cfrac{23}{17} \)
\( \rm \: 23\; and \; 17 \: can't \: be \: cancelled .\)
But, We can convert 23/17 into decimal form.
That is,
\(\tt \implies \: x = 23 \div 17\)
\(\tt \implies{x} = 1.352\)
\(\tt \implies{x} \approx1.4\)
Hence, the value of x would be 23/17 or 1.4 .
\( \rule{225pt}{2pt}\)
I hope this helps!
Let me know if you have any questions.
:D
For a car moving at a constant speed, the distance traveled varies directly with the time spent driving. If such a car travels 210 miles in 7 hours, how many
miles does it travel in 4 hours?
Answers
Answer:
120 miles.
Step-by-step explanation:
Use long division to find how many miles the car travels in 1 hour then we multiply by 4
: (7÷210=30)×4=120miles. Hope this helped ;D
prove that : 1/1-secA + 1/1+secA = -2cot^2A
Answers
Answer:
Step-by-step explanation:
LHS = 1/1-secA + 1/1+secA
\(= \frac{1*(1+Sec A)}{(1-Sec A)(1+Sec A)}+\frac{1*(1-Sec A)}{(1+Sec A)*(1-Sec A)}\\\\=\frac{(1+Sec A)}{1-Sec^{2} A}+\frac{(1-Sec A)}{1-Sec^{2} A}\\\\=\frac{1+Sec A+1-Sec A}{(1-Sec^{2} A)}\\\\= \frac{2}{(1-Sec^{2} A)}\\\\=\frac{2}{-(Sec^{2} A - 1)}\\\\= \frac{-2}{Tan^{2} A}\\\\= -2Cot^{2} A\)
A 90 kg astronaut is trawling through space a 4.5 m/s.
Answers
Answer:
I would help but i.d.k the question so i cant help
Step-by-step explanation:
thank you for the points tho and have a blessed day
Which is the largest ratio?
StartFraction 5 Over 36 EndFraction, 2:9, 3 to 18, 1:3
StartFraction 5 Over 36 EndFraction
2:9
3 to 18
1:3
Answers
Comparing the ratios in form of fraction, the ratio 1:3 is the largest.
RatiosThe ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. We use the ratio formula while comparing the relationship between two numbers or quantities. The general form of representing a ratio of between two quantities say 'a' and 'b' is a: b, which is read as 'a is to b'.
In the ratios given, we have 2:9, 3:18 and 1:3
Let's write these in form of fraction to the decimal and determine which is the largest.
i)
2:9 = 2/9 = 0.22
ii)
3:18 = 3/18 = 0.1666 ≅ 0.17
iii)
1:3 = 1/3 = 0.33
From the above fractions, the ratio 1:3 is the largest.
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Consider f: {-1,0,1, 2}{1,0,-1,-8}. Write its equation?
Answers
The equation of the function is f(x) = -(x)³.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given that, function is defined from the set {-1,0,1, 2} to {1,0,-1,-8}.
-1 is mapped to 1
0 is mapped to 0
1 is mapped to -1
2 is mapped to -8
Consider f(x) = -(x)³
For the function, all the input values of x satisfies the equation.
Hence the function is f(x) = -(x)³.
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Given: ABCD is a trapezoid,
AD=10, BC=8,
CK-altitude of ΔACD=30
Find: Area of ABCD
Answers
The area of the given trapezoid is 270 square units.
A trapezoid is a four-sided geometric shape that has two parallel sides (called the bases) and two non-parallel sides (called the legs). The area of a trapezoid is the amount of space inside the shape and can be calculated using the formula:
A = (a + b)h/2
Where:
a and b are the lengths of the two parallel sides of the trapezoid, and
h is the height (perpendicular distance) between the two parallel sides.
The area will be calculated as,
A = ( 10 + 8) x 30 /2
A = 270 square units
Therefore, the area is 270 square units.
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What’s the factor of the expression?
Answers
The answer to this question: B
5. There are two kinds of products (called DA and GA) produced in your company every day. Alsothere are two kinds of materials (denoted by A and B) in need One DA costs one unit of A, one unit of B: one GA costs one unit of A, two units of B. You get $3000 when you sell one DA and $5000 for one GA. The supply of the two materials every day is 12,22. a)What is the maximal profit $ b) How many DA and GA should be produced every day to obtain this maximal profit? Number of DA = Number of GA
Answers
Answer:
a) $56000b) DA = 2, GA = 10Step-by-step explanation:
Given
DA = A + B ⇒ $3000GA = A + 2B ⇒ $5000Number of A = 12Number of B = 22We can see from the equations that
GA - DA = B ⇒ $2000 andA = $1000 and B = $2000 in terms of profitSo greater use of unit B brings greater profit. We don't want any unit is left over, so get this equation.
A + B = 12A + 2B = 22Is the equation set to indicate use of the units A and B
Solving we get
A = 2 and B = 10It this case all the units are used and profit is maximum
2*$3000 + 10*$5000 = $56000Number of DA = 2Number of GA = 10