Use the equation and type the ordered-pairs.
y = 3^x
(-1,__), (0,__), (1,__), (2,__), (3,__), (4,__)
Answers
Answer: [tex](-1,\frac{1}{3}),\ (0,1),\ (1,3),\ (2,9),\ (3,27),\ (4,81)[/tex]
Step-by-step explanation:
The given exponential function :
[tex]y=3^x[/tex]
At x = -1, we get
[tex]y=3^{-1}=\dfrac{1}{3}[/tex]
At x = 0, we get
[tex]y=3^{0}=1[/tex]
At x = 1, we get
[tex]y=3^{1}=3[/tex]
At x = 2, we get
[tex]y=3^{2}=9[/tex]
At x = 3, we get
[tex]y=3^{3}=27[/tex]
At x = 4, we get
[tex]y=3^{4}=81[/tex]
Hence, the completed ordered pairs are : [tex](-1,\frac{1}{3}),\ (0,1),\ (1,3),\ (2,9),\ (3,27),\ (4,81)[/tex]
Related Questions
Solve the system algebraically.
2x + y - 10 = 0
x - y - 5 = 0
What is the value of y?
-5/3
0
5
Answers
We can just add the numbers together to create an equation we can solve.
2x+y-10=0
x-y-5=0
3x-15=0 <== expression added together
3x=15
Divide both sides by 3.
x=5
Now, plug that in to solve for y.
x-y-5=0
5-y-5=0
Add 5 to both sides.
5-y=5
Subtract 5.
y=0
y=0
I hope this helps!
~kaikers
2x^2-2x-12=0 , what are the two equations?
Answers
To solve the quadratic equation 2x^2-2x-12=0, the quadratic formula is used yielding two solutions, x = 3 and x = -2.
Explanation:To find the solutions for the quadratic equation 2x^2-2x-12=0, we can use the quadratic formula. The general form of a quadratic equation is ax^2 + bx + c = 0. For the given equation, the coefficients are a = 2, b = -2, and c = -12. Applying the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a), we substitute in our coefficients to get:
x = (2 ± √((-2)^2 - 4(2)(-12))) / (2(2))
x = (2 ± √(4 + 96)) / 4
x = (2 ± √(100)) / 4
x = (2 ± 10) / 4
Thus, the two solutions for x are:
x = (2 + 10) / 4 = 3x = (2 - 10) / 4 = -2Therefore, the two solutions of the quadratic equation 2x^2-2x-12=0 are x = 3 and x = -2.
To solve the equation 2x^2 - 2x - 12 = 0, we can use the quadratic formula. The solutions are x = 3 and x = -2.
Explanation:To solve the equation 2x^2 - 2x - 12 = 0, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the solutions for x are given by:
$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$
For our equation, a = 2, b = -2, and c = -12. Plugging in these values, we get:
$$x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4(2)(-12)}}{2(2)}$$
Calculating the values inside the square root:
$$x = \frac{2 \pm \sqrt{4 + 96}}{4}$$
$$x = \frac{2 \pm \sqrt{100}}{4}$$
$$x = \frac{2 \pm 10}{4}$$
So the two solutions to the equation are:
$$x = \frac{2 + 10}{4}$$
$$x = \frac{12}{4}$$
$$x = 3$$
and
$$x = \frac{2 - 10}{4}$$
$$x = \frac{-8}{4}$$
$$x = -2$$
This is my last quiz question, Please help <3
Triangle PQR has two known interior angles of 24°, and 100°.
Triangle RST has two known interior angles of 24°, and 56°.
What can be determined about whether trianglesPQR and RST are similar?
Similarity cannot be determined from the given information.
The triangles are similar.
The triangles are not similar.
All interior angles must be given to determine similarity.
Answers
This is true of all triangles.
You have two given angles of triangle PQR.
They are 24 degree and 100 degree.
What do those measures add up to?
What is 100 + 24? = 124
When you add the measure of the third angle to 124, you must get 180.
To find the measure of the third angle, just do 180 - 124.
What do you get?
180 - 124 = 56
That means the third angle of triangle PQR measures 56 deg.
Now we know the measures of all three angles of triangle PQR: 24, 100, 56.
Triangle RST has two angles that measure 24 deg. and 56 deg.
Since two angles of triangle PQR are congruent to two angles of triangle RST, the triangles are similar.
What happens to the area of a circle when the radius is doubled? (1 point) it is doubled?
Answers
write parametric equations of the line with the equation 2x+3y=5
Answers
The question is asking to find the parametric equations of the line with the equation 2x+3y=5, which are x=t and y=(5-2t)/3 where t is a parameter.
Explanation:To obtain parametric equations for the line 2x + 3y = 5, first, solve for y, yielding y = (5 - 2x)/3. Introduce a parameter, often denoted as t, representing the 'time' a point travels on the line. When x = t, substitute it into the y equation, resulting in y = (5 - 2t)/3. Hence, the parametric equations for the line are x = t and y = (5 - 2t)/3. These equations express x and y in terms of the parameter t, allowing the representation of various points on the line as t varies, providing a concise and dynamic description of the line's behavior in a parametric form.
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The local ice cream parlor has 20 different flavors of ice cream, 4 different types of cones, and 6 different types of toppings. how many different combinations of ice cream cones can be created?
Answers
The answer provides the total number of combinations of ice cream cones based on flavors, cone types, and toppings.
Explanation:The number of different combinations of ice cream cones that can be created considering different flavors of ice cream, types of cones, and toppings:
Calculate the total combinations by multiplying the number of flavors of ice cream, types of cones, and toppings: 20 * 4 * 6 = 480 different combinations of ice cream cones possible.A bird flies across your backyard at 4.0 feet per second. How many miles can the bird travel in 2.1 hours (rounded to the nearest tenth)?
A) 2.8 mi
B) 3.2 mi
C) 5.7 mi
D) 9.7 mi
Answers
1 hour = 60 minutes = 60*60 seconds = 3600 seconds
1 hour = 3600 seconds
Multiply both sides by 2.1 to get
1 hour = 3600 seconds
2.1*(1 hour) = 2.1*(3600 seconds)
2.1 hours = 7560 seconds
Now use the formula below
d = r*t
where,
d = distance
r = rate or speed
t = time
In this case,
d = unknown
r = 4 ft per sec
t = 7560 seconds (equivalent to 2.1 hours)
So,
d = r*t
d = 4*7560
d = 30240
The bird can travel 30240 feet. Convert this to miles by dividing the value by 5280 (since 1 mile = 5280 feet)
30240/5280 = 5.727 roughly which rounds to 5.7
Answer: C) 5.7 miles
The bird can travel approximately 5.7 miles in 2.1 hours.
Explanation:To find the number of miles the bird can travel in 2.1 hours, we need to convert the speed from feet per second to miles per hour. There are 5280 feet in a mile and 3600 seconds in an hour, so the bird's speed is 4.0 * 3600 / 5280 = 2.727 miles per hour. Multiplying this speed by 2.1 hours gives us a total distance of 2.727 * 2.1 = 5.7207 miles, rounded to the nearest tenth, which is 5.7 miles. Therefore, the answer is option C) 5.7 mi.
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10 POINTS + BRAINLIEST ANSWER!!
The table below shows the number of U.S. residents with health insurance in 2015, in thousands, categorized by age group and annual income. According to these results, if a U.S. resident with health insurance who was 35-64 in 2015 is selected at random, what is the approximate probability that this resident had an income between $50,000 and $79,999?
A. 0.20
B. 0.25
C. 0.40
D. 0.80
Answers
The approximate probability is 0.40 .
What is random selection?Random selection refers to how the sample is drawn from the population as a whole, while random assignment refers to how the participants are then assigned to either the experimental or control groups.
What is probability?Probability measures the chance of an event happening and is equal to the number of favorable events divided by the total number of events. The value of probability ranges between 0 and 1, where 0 denotes uncertainty and 1 denotes certainty.
Probability of an event P(E) = (Number of favorable outcomes) ÷ (Total outcomes ).
According to the question
The table below shows the number of U.S. residents with health insurance in 2015, in thousands, categorized by age group and annual income.
Now,
if a U.S. resident with health insurance who was 35-64 in 2015 is selected at random,
The probability that this resident had an income between $50,000 and $74,999
As
By using formula of probability
Probability of an event P(E) = (Number of favorable outcomes) ÷ (Total outcomes ).
where
Total outcomes = Total resident had an income between $50,000 and $74,999 = 56,908
Number of favorable outcomes = U.S. resident with health insurance who was 35-64 in 2015 and income between $50,000 and $74,999
= 7,185 + 14,978
= 22,163
Now,
Putting value in formula
Probability of an event P(E) = (Number of favorable outcomes) ÷ (Total outcomes ).
Probability of an event P(E) = [tex]\frac{22163}{56908}[/tex]
= 0.389
= 0.40 (approx.)
Hence, the approximate probability is 0.40 .
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Help me understand this
What is the value of x
Answers
The sum of two consecutive even integers is −34−34. find the two integers.
Answers
x+2= second integer
Add the integers together set equal to -34.
x + (x+2)= -34
combine like terms
2x + 2= -34
subtract 2 from both sides
2x= -36
divide both sides by 2
x= -18 first integer
Substitute x= -18 to find second integer.
=x+2
= -18 + 2
= -16 second integer
CHECK:
-18 + -16= -34
-34= -34
ANSWER: The first integer is -18 and the second consecutive even integer is -16.
Hope this helps! :)
A rectangle has an area of 180 cm22 and a perimeter of 58 cm. what are its dimensions?
Answers
_____
The total of length and width is half the perimeter.
To find the dimensions of a rectangle with a given area and perimeter, set up and solve a system of equations.
Explanation:Let's assume that the length of the rectangle is x cm and the width is y cm.
Given that the area of the rectangle is 180 cm², we have the equation x*y = 180.
Also, the perimeter of the rectangle is 58 cm, which gives us the equation 2x + 2y = 58.
By solving these two equations simultaneously, we can find the dimensions of the rectangle.
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Write an expression to represent: One minus the quotient of one and a number x
Answers
Hope this helps!
Help me please l’m correct or wrong?
Answers
the annual health insurance premium for Ms Everett is $12,304. her employer pays 70% of the premium and deducts the remainder from her paycheck. Ms Everett is paid monthly
what amount is deducted from Ms Everett's paycheck for her health insurance premium?
A.) $141.97
B.) $307.60
C.) $331.26
D.) $717.73
2.) The health insurance company that insures Peter pays 80% of nutritional counseling after Peter pays a $50 deductible. The cost of his counseling was $1060
How much did Peter pay for his nutritional counseling
A.) $202
B.) $212
C.) $252
D.) $262
3.) Mattie must pay a $15 co-pay for each of her visits to a chiropractor. the insurance company pays 60% of the cost of the visit. After her accident, she made 12 visits to the chiropractor, each costing $305.
How much, in total, did Mattie pay for her chiropractor visits?
A.) $1464
B.) $1644
C.) $2196
D.) $2376
Answers
Answer:
B.) $307.60 ; C.) $252 ; B.) $1644
Step-by-step explanation:
1.) Since the employer pays 70% of the premium, this leaves Ms. Everett with 100-70=30% of the cost.
30% = 30/100 = 0.3; this makes her part of the cost
0.3(12304) = 3691.2
She gets paid monthly, so we divide this by 12:
3691.2/12 = 307.6
This means she has $307.60 deducted monthly.
2.) Since the insurance company pays 80% of the costs, this leaves Peter with 100-80 = 20% of the cost.
We take his deductible out of the cost first:
1060-50 = 1010
20% = 20/100 = 0.2; this makes his part of the cost
0.2(1010) = 202+50 = 252, since we have to count the deductible as part of his cost.
3.) The total cost of all visits would be
305(12) = 3660
The insurance company pays 60% of the cost; this means she is left with 100-60 = 40%. 40% = 40/100 = 0.4;
0.4(3660) = 1464
Mattie also pays 12 $15 copays; this adds 12(15) = 180 to this:
1464+180 = $1644
Ms. Everett's monthly deduction for her health insurance premium is $307.60. Peter paid $202 for his nutritional counseling after accounting for the deductible and insurance payment. Mattie paid a total of $1,644 for her chiropractor visits, considering the co-pays and her share of the visit costs after insurance.
Explanation:Calculating Health Insurance Contributions and Costs1. To determine the amount deducted from Ms. Everett's paycheck for her health insurance premium, we calculate 30% of the total annual premium (since her employer pays 70%) and then divide by 12 to get the monthly deduction.
Total annual premium: $12,304
Employer's share (70%): $12,304 × 0.70 = $8,612.80
Ms. Everett's share (30%): $12,304 × 0.30 = $3,691.20
Monthly deduction: $3,691.20 / 12 = $307.60
2. To find out how much Peter paid for his nutritional counseling, we subtract the $50 deductible from the total cost and then calculate 20% of the remaining amount (since the insurance pays 80%).
Total cost of counseling: $1,060
Deductible: $50
Amount after deductible: $1,060 - $50 = $1,010
Peter's share (20%): $1,010 × 0.20 = $202
3. To determine the total amount Mattie paid for her chiropractor visits, we multiply the co-pay by the number of visits and add to it the total amount of her share for the visits after insurance contribution.
Cost per visit: $305
Insurance pays (60%): $305 × 0.60 = $183
Mattie's share per visit (40%): $305 × 0.40 = $122
Co-pay per visit: $15
Total co-pay: $15 × 12 = $180
Total Mattie's share for visits: $122 × 12 = $1,464
Total amount Mattie paid: $1,464 + $180 = $1,644
A student club set a goal of donating 50 blankets to a local shelter. Two classes have participated so far. Ms. Carter’s class gathered 18 blankets and Mr. Moriarti’s class gathered 23 blankets. How many more blankets are needed to reach the goal of 50 blankets
What type of problem is this? How can you tell?
a part-whole problem because Ms. Carter’s class only gathered part of the number of blankets Mr. Moriarti’s class gathered
a part-whole problem because the unknown number of blankets that are still needed is part of the whole goal of 50 blankets
a comparison problem because the number of blankets gathered is compared to the number of blankets still needed
a comparison problem because the number of blankets Ms. Carter’s class gathered is compared to the number of blankets Mr. Moriarti’s class gathered
Answers
the whole value should be 50 blankets. Part of these blankets have already been collected, thats (18 +23) 41 blankets.
we have been given the whole that's 50 and we have been given the part thats 41 in total. we still have to find the other part that should be included to make the whole number of blankets. We can find the unknown number by subtracting the part given (41) from the whole (50) and the unknown is then 9 blankets.
Therefore this is a part whole problem to find out the missing part.
Final answer:
The students need 9 more blankets to reach their goal of donating 50 blankets. This is a part-whole problem because we are looking for the unknown number of blankets needed to complete the whole goal.
Explanation:
The student club set a goal of donating 50 blankets to a local shelter, with Ms. Carter’s class and Mr. Moriarti’s class contributing towards this goal. To determine how many more blankets are needed, we need to use addition and subtraction. We add the number of blankets collected by both classes then subtract that total from the goal. Ms. Carter’s class gathered 18 blankets and Mr. Moriarti’s class gathered 23 blankets. The sum of their contributions is 18 blankets + 23 blankets = 41 blankets. The goal is 50 blankets, so we subtract the number collected from the goal: 50 blankets – 41 blankets = 9 blankets. So, the answer is that the students need 9 more blankets to reach their goal of 50.
This is a part-whole problem because the unknown number of blankets that are still needed is part of the whole goal of 50 blankets. The problem does not compare the amounts collected by each class, nor does it compare the number still needed with the number collected; instead, it regards the collected blankets as part of the complete set, which is why we can dismiss the other options.
Okay does anyone even know what this means LOL
Evaluate.
6! + 2! = [?]
Answers
Please answer! Confusing me. 20 points.
Solve each of the following equations. Show its solution set on a number line. Check your answers.
1/2 − x/3 = 5/6
The 1/2 and x/3 is in the absolute value lines.
Answers
To solve the equation with absolute value expressions, isolate the absolute value terms and solve two separate equations. The solutions are x = -1 and x = 1.
Explanation:To solve the equation 1/2 - x/3 = 5/6 with the absolute value expressions, we need to isolate the absolute value terms and solve two separate equations. First, rewrite the equation as |-x/3| = 5/6 - 1/2. Since the absolute value of a number is always positive, we can remove the absolute value symbols by considering the positive and negative cases separately.
For the positive case, we have -x/3 = 5/6 - 1/2. Simplifying, we get -x/3 = 1/3. Multiplying both sides by -3, we find x = -1. For the negative case, we have -(-x/3) = 5/6 - 1/2. Simplifying, we get x/3 = 5/6 - 1/2. Combining like terms, we have x/3 = 1/3. Multiplying both sides by 3, we find x = 1. Therefore, the solution set to the equation is {-1, 1}.
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Suppose ruth ann has 5 routes she can choose from to get from school to the library, and 6 routes from the library to her home. how many routes are there for ruth anns school to her home with a sop at the library?,
Answers
I get stuck whit these I don’t get how to do them
Answers
[tex]y \leq 2x-2[/tex]
[tex]y +2 \leq 2x[/tex]
[tex] \frac{y+2}{2} = x [/tex]
Plug that into the second equation for x:
[tex]y \leq ( \frac{y+2}{2})^2-3(\frac{y+2}{2})[/tex]
[tex]\frac{y^2+4y+4}{4}- \frac{3y-2}{2} = \frac{y^2+4y+4}{4}- \frac{6y-4}{4} [/tex]
[tex]y \leq\frac{y^2-2y}{4} [/tex]
[tex]0 \leq y^2-2y-4y[/tex]
[tex]0 \leq y(y-6) [/tex]
[tex]6 \leq y[/tex]
Now, plug this back into the first equation to solve for x:
[tex]6 \leq 2x-2[/tex]
[tex]8 \leq 2x[/tex]
[tex]4 \leq x[/tex]
So, the solution to that system is (4, 6) which looks like the D.
The area of a rectangle is 96 square feet. The ratio of the width to the length is 2:3. The width of the rectangle is ______ feet.
Answers
l = 3x
w = 2x
A = 96
96 = (3x)(2x)
96 = 6x^2
x^2 = 16
x = 4
Plug 4 in for x
w = 2(4) = 8 ft
The width of a rectangle with an area of 96 square feet and a width to length ratio of 2:3 is 8 feet.
Explanation:In this mathematics problem, we are given the area of a rectangle (96 square feet) and the ratio between its width and length (2:3). The equation representing the area of a rectangle is Length x Width. Given that the area of the rectangle is 96 sq ft, and the ratio of width to length is 2:3. Let's assign the width to be 2x and the length to be 3x. Then, you would multiply these two together and set it equal to the area: (2x) * (3x) = 96 square feet. Simplifying this gives 6x2 = 96. Dividing both sides by 6 gives you x2 = 16. Taking the square root of both sides gives x = 4. Therefore, the width of the rectangle, which is 2x, is 2 * 4 = 8 feet.
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K is the midpoint of JL. If: JK = 5x + 1 and KL = 7x - 3. Find JL
Answers
To find JL, we simply add the lengths of JK and KL together which gives us 22 units.
If K is the midpoint of JL, it means that JK is equal in length to KL.
Thus, we can set up the equation 5x + 1 (for JK) equal to 7x - 3 (for KL) since these expressions represent the lengths of JK and KL respectively.
Solving the equation 5x + 1 = 7x - 3 for x, we find that x = 2. Substituting x back into the expression for either JK or KL yields the length of one segment, which in this case is 11 units for both JK and KL.
Deniz had a full gallon of milk. She poured out 4 cups of milk. There are 16 cups in 1 gallon. About what percent of the original volume is left?
A. 25%
B. 33%
C. 67%
D. 75%
Answers
There is 16 cups in 1 gallon. If you pour 4 cups from 1 gallon, you would use [tex] \frac{4}{16} [/tex] of the gallon of milk. [tex] \frac{4}{16} [/tex]=[tex] \frac{1}{4} [/tex] and [tex] \frac{1}{4} [/tex]=25%.
Enjoy.
Brainliest please?
In the diagram, SR = 4 square root 2 and OR= square room of 10. What is the perimeter of the parallelogram PQRS?
Answers
Answer:
the perimeter is [tex]8\sqrt{2} +2\sqrt{10}[/tex]
Step-by-step explanation:
It is given that PQRS is a parallelogram
with sides SR=[tex]4\sqrt{2}[/tex] and QR = [tex]\sqrt{10}[/tex]
We know that the opposite sides in a parallelogram are equal
so we have
PQ= SR= [tex]4\sqrt{2}[/tex]
PS= QR= [tex]\sqrt{10}[/tex]
Now to find the perimeter of parallelogram we add all the sides
perimeter = [tex]PQ+SR+PS+QR[/tex]
=[tex]4\sqrt{2} +4\sqrt{2} +\sqrt{10} +\sqrt{10}[/tex] ( plug the values)
=[tex]8\sqrt{2} +2\sqrt{10}[/tex]
hence the perimeter is [tex]8\sqrt{2} +2\sqrt{10}[/tex]
PLEASE HELP NOW PLEASE
Answers
a=7, b=9, c=4
The following data set shows the number of books checked out from a library during the first two weeks of the month:
36, 39, 40, 42, 45, 2, 38, 41, 37, 38, 35, 37, 35, 38
Which of the following statements is true based on the data set? (5 points)
There are two outliers, indicating very few books were checked out on those two days.
There are two outliers, indicating an abnormally large number of books were checked out on those two days.
There is one outlier, indicating an abnormally large number of books were checked out on that day.
There is one outlier, indicating very few books were checked out on that day.
Answers
There is one outlier, indicating very few books were checked out on that day.
Answer: There is one outlier, indicating very few books were checked out on that day.
Step-by-step explanation:
The given data of he number of books checked out from a library during the first two weeks of the month:
36, 39, 40, 42, 45, 2, 38, 41, 37, 38, 35, 37, 35, 38
Here , all the data value are near to each other except one i.e. 2.
Since 2 is very small value as compare to the other data values.
It means 2 is the outlier for the data.
It means only 2 books were checked out on that day, which is much lesser number of books than the other day.
Hence, the statements is true based on the data set :
There is one outlier, indicating very few books were checked out on that day.
Evaluate will amrk brainlist plz do it right 20 extra points
Answers
Hope that helped
Please help! I don't get it! It is confusing me!
Answers
NP>MN
Cancel out the N
P>M
Next
MP<MN
Cancel out the M
P<N
M<P<N
The answer is C.
NP>MN
MP
P>M
P
The expression would be M < P < N.
(a + b - c)(a + b + c) I need help asap
Answers
Hope this helps :)
What is the range
of this function?
-2 3
3 9
4 12
2
A. {3}
B. {3,9,12}
C. {-2,2,3,4}
D. {-2,2,3,4,9,12}
Answers
Answer: B
Step-by-step explanation:
Answer:
B. {3,9,12}
Step-by-step explanation:
test approved
Nathan is building a toolshed with a rectangular floor. The area of a rectangle is given by the formula l⋅w, where l represents the length, and w represents the width. The floor of the shed will have measurements of either l=8 and w=6 or l=7 and w=7. What is the area of the larger floor?
Answers
Answer:
Here, l is the length of the rectangle and w is the width of the rectangle
To Compare the values, you must calculate each given situation.
Area of a rectangle is equal to length times width.
i.e, [tex]A = l \times w[/tex]
(A)
if l = 8 units and w= 6 units,
then;
[tex]A = l \times w[/tex] = [tex]8 \times 6 = 48 unit^2[/tex]
(B)
if l =7 units and w = 7 units
[tex]A = l \times w[/tex] = [tex]7 \times 7 = 49 unit^2[/tex]
Therefore, the Part B would yield a larger area.
If l -7 units and w = 7 units , the area of larger floor is 49 square units.