When x=-2
f(x) =3(-2) -12 =-6-12=-18
When x=2
f(x) = 3(2)-12=6-12=-6
So For the domain (-2,2)
Range of the function f(x) is (-18,-6)
So (-18 ,-6). is your answer.
Hope it helps....
Regards,
Leukonov/Olegion.
The range of the function f(x) = 3x - 12 for the domain (-2, 2) is (-18, -6). This is determined by finding the function's output at x = -2 and x = 2, which are the endpoints of the specified domain.
The question asks for the range of the function f(x) = 3x - 12 given the domain (-2, 2). To determine the range, we calculate the output values of the function using the endpoints of the domain.
For the lower endpoint of the domain, x = -2: f(-2) = 3(-2) - 12 = -6 - 12 = -18.
For the upper endpoint of the domain, x = 2: f(2) = 3(2) - 12 = 6 - 12 = -6.
Since the function is a straight line (which is continuous and has a constant rate of change), the range over the interval (-2, 2) is all values between f(-2) and f(2), though not including the endpoints since the domain is open. Thus, the range is (-18, -6).
The correct answer is B. (-18, -6).
What is the measure of the missing angle
The sum of the angles of any quadrilateral is 360 degrees. This means that you can make a formula like the one bellow and solve for x:
72 + 107 + x + 91 = 360
270 + x = 360
(270 - 270) + x = 360 - 270
x = 90
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
x = 90°
Step-by-step explanation:
Angles in a quadrilateral add up to 360°
We are given the following angles : 107°, 72° and 91°
Wee need to find x so,
x + 107° + 72° + 91° = 360°
( Simplify )
x + 270° = 360°
( Minus 270° from both sides to isolate x )
x = 90°
The output with the y being -4
For this case we have a function of the form [tex]y = f (x)[/tex], where [tex]f (x) = - 4x[/tex]. We must find the values of "and" according to the following function:[tex]y = -4x[/tex]
So:
[tex]f (-6) = - 4 (-6) = 24\\f (-2) = - 4 (-2) = 8\\f (3) = - 4 (3) = - 12[/tex]
Thus, the values are:
24,8, -12
Answer:
24,8, -12
Find the graph of the inequality y>-1/6x+1
what we do is, we simply draw the graph for its EQUALITY counterpart, namely [tex]\bf y=-\cfrac{1}{6}x+1[/tex].
then we check the regions on both sides of the graph, in this case we can check say the point (0,0) for simplicity, and
[tex]\bf y>-\cfrac{1}{6}x+1\qquad (0,0)~~ \begin{cases} x=0\\ y=0 \end{cases}\implies 0>-\cfrac{1}{6}(0)+1\implies 0>1[/tex]
now, is 0 > 1? is 0 really greater than 1? nope, is smaller, thus the area where the point (0, 0) is at is the false region, so that's the area we do NOT shade, thus the other region must be the true region and that's the one we shade.
the ">" sign means, that "y" is greater than, NOT equals to but greater, thus the values at the borderline are not included, and thus is a dashed line.
Check the picture below.
Which of the following could be the graph of this equation?
Answer: OPTION C.
Step-by-step explanation:
Given a function f(x), the range of the inverse of f(x) will be the domain of the function f(x) and the range of the domain of f(x) will be the range of the inverse function.
For example, if the point (2,1) belongs to f(x), then the point (1,2) belongs to the inverse of f(x).
Observe that in the graph of the function f(x) the point (-3,1) belongs to the function, then the point (1,-3) must belong to the inverse function.
Therefore, you need to search the option that shown the graph wich contains the point (1,-3).
Observe that the Domain f(x) is (-∞,0) then the range of the inverse function must be (-∞,0).
This is the graph of the option C.
Answer:
C
Step-by-step explanation:
Anna wants to put a fence around a rectangular garden plot that measures 9 feet by
18 feet. She wants to place posts at the corners of the plot and every 2 feet around
the perimeter of the plot. How many posts does she need?
The answer is:
Anna will need 27 posts.
Why?To calculate how many post does she need to place at the corners and every 2 feet around, we need to calculate the perimeter of the garden plot.
So, we can calculate the perimeter of the garden plot (rectangle) using the following formula:
[tex]Perimeter=2height+2width[/tex]
We know that:
[tex]height=9ft\\width=18ft[/tex]
Then, calculating the perimeter of the garden plot, we have:
[tex]Perimeter=2height+2width[/tex]
[tex]Perimeter=2*9ft+2*18ft=18ft+36ft=54ft[/tex]
Now, calculating how many post she will need, we have:
[tex]No.Post=\frac{Perimeter}{DistanceBetweenPost}\\\\\frac{54feet}{2feet}=27posts[/tex]
Hence, we have that Anna will need 27 posts.
PLEASE CAN SOMEONE HELP FAST BEG U
SIMULTANEOUS EQUATION
P/2 + Q/3 =6
P/3 + Q/3 =0
Answer:
{Q = -(3 P)/2, Q = -6 P}
Step-by
-step explanation:
Solve the quadratic equation by factoring 9x2+24+20=4
Answer:
Final answer is [tex]x=-\frac{4}{3}[/tex] and [tex]x=-\frac{4}{3}[/tex].
Step-by-step explanation:
Given equation is [tex]9x^2+24x+20=4[/tex].
Now we need to solve that by factoring.
[tex]9x^2+24x+20=4[/tex]
[tex]9x^2+24x+20-4=0[/tex]
[tex]9x^2+24x+16=0[/tex]
[tex]9x^2+12x+12x+16=0[/tex]
[tex]3x(3x+4)+4(3x+4)=0[/tex]
[tex](3x+4)(3x+4)=0[/tex]
[tex](3x+4)=0[/tex], [tex](3x+4)=0[/tex]
[tex]3x+4=0[/tex], [tex]3x+4=0[/tex]
[tex]3x=-4[/tex], [tex]3x=-4[/tex]
[tex]x=-\frac{4}{3}[/tex], [tex]x=-\frac{4}{3}[/tex]
Hence final answer is [tex]x=-\frac{4}{3}[/tex] and [tex]x=-\frac{4}{3}[/tex].
Add (7x^2-3x) + (5x-6)
A. 7x^3 +2x -6
B. 4x^2 -x
C. 7x^2 -2x-6
D. 7x^2- 8x-6
Answer:
Let's simplify step-by-step.
7x^2−3x+5x−6
=7x^2+−3x+5x+−6
Combine Like Terms:
=7x^2+−3x+5x+−6
=(7x^2+2x+−6 )
Answer:
=7x^2+2x−6
Final answer:
The sum of (7x² - 3x) and (5x - 6) is found by combining like terms, resulting in 7x² + 2x - 6, which is option C.
Explanation:
To solve the algebraic addition (7x²-3x) + (5x-6), you need to combine like terms.
First, identify and group like terms from both expressions. Like terms are those that have the same variable raised to the same power.
Combine the coefficients (numerical values) for each group of like terms.
Now, let's go through each step:
For the x2 terms: 7x2 (from the first polynomial) has no like term in the second polynomial, so it remains as is.
For the x terms: -3x (from the first polynomial) and +5x (from the second polynomial) combine to give 2x.
Lastly, the constant terms: -6 (from the second polynomial) also has no like term in the first polynomial, so it remains as is.
By combining these, the result is 7x² + 2x - 6, which corresponds to option C.
1/2x= 3/(x+5)
What is the value of x that makes the statement true
Answer:
.5x = 3x + 15
-2.5 x = 15
x = -6
Step-by-step explanation:
The price of cable service changed from
$35.00 per month to $42.00 per month.
What was the percent of increase?
A. 5%
B. 7%
C. 17%
D. 20%
Answer:
D. 20%
Step-by-step explanation:
percent change = (new number - old number)/(old number) * 100%
The new number is the increased price, $42, and the old number is the original price, $35.
percent change = ($42 - $35)/($35) * 100%
percent change = ($7)/($35 min) * 100%
percent change = 0.20 * 100%
percent change = 20%
Since the percent change is a positive number, it is a percent increase.
The percent increase was 20%.
Answer: D. 20%
What is the best next step in the construction of the perpendicular bisector of
AB?
O
A. It is not possible to bisect AB with this construction.
O
B. Use a compass to draw a circle using the lower intersection of the
circles as the center point.
C. Use a straightedge to draw a line segment that connects the
vertices of the two equilateral triangles that coincide with the
intersections of the circles.
O
D. Use a compass to draw a circle using the upper intersection of the
circles as the center point.
The best next step in the construction of the perpendicular bisector of AB is C. Use a straightedge to draw a line segment that connects the vertices of the two equilateral triangles that coincide with the intersections of the circles.
What is Perpendicular Bisector?Perpendicular bisector is defined as the perpendicular line which bisects another line or an angle.
Given a line AB.
There are also two intersecting circles and two equilateral triangles joining the line AB with the intersecting points.
We have to draw a perpendicular bisector to AB.
We can draw perpendicular bisector by connecting the intersecting points of the circles.
Hence the correct option is C.
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Final answer:
To construct the perpendicular bisector of AB, connect the intersections of the circles drawn from A and B with the same radius using a straightedge.
Explanation:
The student has asked what the best next step is in the construction of the perpendicular bisector of a line segment AB. The correct answer is C, which states that you should use a straightedge to draw a line segment that connects the intersections of the circles. This will create the perpendicular bisector of AB. The process involves drawing two circles with the same radius from points A and B, such that each circle goes through the other point, and then connecting the two points where the circles intersect with a straight line. This line will be the perpendicular bisector because it will be perpendicular to AB and divide it into two equal parts, hence bisecting AB.
what is $630,000 divide by 24
$26,250. 630,000 ÷ 24 =26250
Answer: 630,000 / 24= 26250
If you were, for example, to divide $630,000 evenly between you and 24 of your coworkers, you'd each get $26,250.
Hope this helps,
LaciaMelodii :)
Linear function A and linear function B both have the same input values as shown below. Why will the output values for linear function A always be different than the corresponding output values for linear function B? The initial values of the two functions are different, and the rates of change of the two functions are also different. The initial values of the two functions are different, and the rates of change of the two functions are the same. The initial values of the two functions are the same, and the rates of change of the two functions are different. The initial values of the two functions are the same, and the rates of change of the two functions are also the same.
Answer:The initial values of the two functions are different, and the rates of change of the two functions are the same.
Step-by-step explanation:
The values will start out different. When you apply the rate of change, because they have the same rate of change, you don't risk them coming out with the same value if the values ended up being just right, they will always remain different.
The differences in the output values for linear function A and function B are a result of varying y-intercepts and slopes in each function. When plotted on a graph, these differences become apparent.
Explanation:The output values for linear function A and function B will differ because of variations in their respective initial values (or y-intercepts) and their rates of change (or slopes). When you plot these output values against the shared input values as a graph of y as a function of x, these differences can be seen visually. For instance, consider the linear equation y = mx + b, where m represents the slope of the line and b is the y-intercept. If function A and B have different y-intercepts or slopes, the output values will differ for the same set of input values.
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Hudson picked 1 1/4 baskets of apples.Suzy picked 2 baskets of apples. How many more baskets of apples did Suzy pick than Hudson?
Answer: 3/4
Step-by-step explanation:
1 1/4 = 4/4 + 1/4 = 5/4
2 = 8/4
8/4 - 5/4 = 3/4
The function p(x) = 2(x-9)2 + 100 is used to determines the profit on T-shirts sold for x dollars. What would the profit from sales be if the proce of the T-shirts were $15 a piece?
Answer:
the profit will be $172
Step-by-step explanation:
The function given is:
p(x) = 2(x-9)^2 + 100
Where x is the price of the each shirt.
if each shirt is sold for $15, hen x = 15.
the profit will be:
p(15) = 2(15-9)^2 + 100
p(15) = 2(6)^2 + 100
p(15) = 2(36) + 100
p(15) = 72 + 100
p(15) = 172
So, the profit will be $172
La figura muestra la matriz de un dado de 6 caras en cuyas caras opuestas estan numeros opuestos
Si se lanza el dado y se suman los valores de sus caras, sin incluir el valor de la cara oculta, ¿Qué sumas se pueden obtener?
Si se lanza el dado y se multiplican los valores de sus caras, sin incluir el valor de la cara que esta oculta ¿Que productos se obtienen?
On a regular 6 sided number cube and a spinner with 3 equal sections labeled 1, 2 & 3, what is the probability of rolling a four and then spinning a 3?
On a number cube, rolling any number is a 1/6 probability ( 1 out of 6 numbers).
On the spinner the probability of getting 3 is 1/3 ( 1 out of 3 numbers).
The probability of getting both a 4 and then a 3 is 1/6 x 1/3 = 1/18
Ms. Carson's art class made a large rectangular mural. The length of the mural is 8 feet, and it's area is 56 square feet. What is the width of the mural?
Answer:
7
Step-by-step explanation:
all u do is divide the area by the length
56/8
You do 56/8 the answer is 7
Round 66681 to the nearest ten thousand
Answer:
66,681 rounded to the nearest ten-thousand would be equal to 70,000.
Step-by-step explanation:
any time the number is higher than 5 you round up but if not you round down! i hope this helps!
70,000
When you round you find whatever your rounding, like for this your rounding to the nearest ten thousand, heres a random one thats simple:
89,000 rounded to nearest ten thousand.
If its its higher than 5 then you round up, if its 4 or lower you round down.
so for 89,000 its 90,000.
But for u answer its 70,000 :3
Yw, goodbye hooman who exists
12(x-2)+3x=1/2(x+6)+2
You can use photo math that helps to
Answer: x=2 you have to simplify both sides and isolate the variable
Which is the better buy?
A. 1,323 ounces of topsoil for $410.13
B. 8 pounds of topsoil for $78.08
Answer:
Option. A
Step-by-step explanation:
Covert Ounces to Pounds, or vice versa, I went with pounds.
1323 ounces = 82 pounds.
find the pound to dollar rate
A; 82 ÷ 410.13 = about 5
B; 8 ÷ 78.08 = 9.76
The better buy is A. 1,323 ounces of topsoil for $410.13.
To determine which is the better buy, we need to calculate the price per ounce for both options and then compare them.
First, let's calculate the price per ounce for option A:
1,323 ounces of topsoil for $410.13.
Price per ounce for A = $410.13 / 1,323 ounces.
Now, let's calculate the price per ounce for option B:
Since 1 pound is equal to 16 ounces, 8 pounds of topsoil is equal to
8 × 16 = 128 ounces.
8 pounds of topsoil for $78.08.
Price per ounce for B = $78.08 / 128 ounces.
Next, we compare the price per ounce for both options:
Price per ounce for A = $410.13 / 1,323 ounces $0.310 / ounce.
Price per ounce for B = $78.08 / 128 ounces $0.609 / ounce.
Since the price per ounce for option A ($0.310) is less than the price per ounce for option B ($0.609), option A is the better buy. The customer gets more topsoil for their money with option A.
Leonardo put a $600 ring on layaway by making a 10% down payment and agreeing to pay $65 a week. How many weeks will it take your nardo to pay off the ring?
Answer: 9 weeks
Step-by-step explanation:
Final answer:
Leonardo will take 9 weeks to fully pay off the $600 ring after making a 10% down payment and weekly payments of $65.
Explanation:
The question is asking how many weeks it will take Leonardo to pay off a ring valued at $600 with a 10% down payment and subsequent weekly payments of $65.
First, calculate the down payment Leonardo makes: 10% of $600 equals $60. Subtract the down payment from the original price to find out the remaining amount Leonardo has to pay, which is $600 - $60 = $540.
Next, divide the remaining amount by the weekly payment: $540 divided by $65 per week equals approximately 8.31, which rounds up to 9 weeks since you can't make a fraction of a payment.
Therefore, it will take Leonardo 9 full weeks to pay off the ring.
reactant
→
product
If there are 4 grams of reactant, how many grams of product are produced by the chemical reaction?
Question 9 options:
0 grams
2 grams
4 grams
8 grams
Answer:
4 grams
Step-by-step explanation:
Mass is conserved, so if you start with 4 grams, you end with 4 grams.
The IPhone 7 costs about $220 for Apple to make, but they cost about $700 in stores. What is the markup percentage of the IPhone 7? (Round to the nearest
Answer:
The markup percentage of the IPhone 7 is $218.18%.
Step-by-step explanation:
The IPhone 7 costs for Apple to make = $220
The cost in stores = $700
The difference between costing price and selling price = 700 -220 = $480
The markup percentage of the IPhone 7 = [tex]\frac{480}{220}[/tex] × 100
= $218.18
The markup percentage of the IPhone 7 is $218.18%.
The markup percentage of an iPhone 7 is calculated by finding the difference between the selling and cost price, dividing this by the cost price and then multiplying by 100. According to these steps, the markup percentage of the iPhone 7 is approximately 218%.
Explanation:The markup percentage indicates how much an item's price has increased from its original cost to make. It is calculated by finding the difference between the selling price and the cost to make, then dividing that by the cost to make, and then multiplying it by 100 to get the percentage.
To calculate the markup percentage of the iPhone 7:
Determine the difference between the selling price and the cost price. In this case, $700 (selling price) - $220 (cost price) = $480. Now divide the difference by the cost to make. $480 / $220 = 2.18. Finally, multiply by 100 to get the percentage. 2.18 * 100 = 218% (rounded to the nearest whole number).
Therefore, the markup percentage of the iPhone 7 is 218%.
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If prism A and Prism B have a ratio of similarity of 2:3, what is the volume of prism A if Prism B's volume is 56 cubic inches
Answer:
16.6 in³
Step-by-step explanation:
Given the ratio of similarity = 2 : 3, then
the ratio of volumes = 2³ : 3³ = 8 : 27
let the volume of prism A be x then by proportion
[tex]\frac{x}{8}[/tex] = [tex]\frac{56}{27}[/tex] ( cross- multiply )
27x = 448 ( divide both sides by 27 )
x = 448 ÷ 27 ≈ 16.6 ( to 1 dec. place )
Prism A has a volume of approx 16.6 in³
PLESE HELP ASAP!!!! Worth 15 point plz help!!
Answer:
The last expression is correct
Step-by-step explanation:
We have been given the following expression for simplification;
[tex]4^{4}*4^{-9}[/tex]
The bases of the two expressions are the same. They are both equal to 4. When multiplying numbers with the same base, we simply add their exponents. In this case our exponents are;
4 and -9
adding them we have;
4 + (-9) = -5
The simplified expression thus becomes;
[tex]4^{-5}=\frac{1}{4^{5}}[/tex]
If x = 4, what is the value of the following expression?
12x + 9x - 2x
A.76
B.19
C.4
D.92
Answer:
Option A, 76
Step-by-step explanation:
Substitute x by 4 to the following expression :
12(4) + 9(4) - 2(4)
48 + 36 - 8
84 - 8
= 76
Write V64 - V-289 as a complex number in the form of a + bi.
A.8+17i
B. 17 + 8i
C. 8-17i
D.-17 - 8i
The correct answer is C. 8 - 17i
What are complex numbers?Complex numbers are numbers that consist of two parts — a real number and an imaginary number.
How to write the given expression in the form of a +ib?
√64 - √-289
= 8 - √-289
= 8 - 17i ( since (17i)² gives -289)
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Godfrey is planning to make muffins for the community bake sale. He only has 1 3/4 cup of sugar. If one batch requires him to use 1/2 cup of sugar, how many batches can he make? Include partial batches (fractions) in your answer if there are any.
Answer:
3 1/2 Batches.
Step-by-step explanation:
1 3/4 (or 1.75) divided by 1/2 (or 0.5) equals 3.5
plz help I need the answer plz
If the equation is
[tex] \frac 5 2 s = \frac 3 2 s + s[/tex]
that's true for all s, since 3/2+1=5/2
So all of them result in true statements
Answer: All of the above
Let's just do one for yuks, s=5.
(5/2) s = 25/2
(3/2)s + s = 15/2 + 5 = 15/2 + 10/2 = 25/2
That checks.