Answer:
x=45/2
Step-by-step explanation:
4/9=10/x
cross product
9*10=4*x
90=4x
x=90/4
simplify
x=45/2
The function f(x) has been transformed to give g(x). Which of the following functions represent g(x)
A. g(x) = (1/2) x^2
B. g(x) = 4x^2
C. g(x) = 1/4 x^2
D. g(x) = 2x^2
f(x) = x2
g(x) = ?
Answer:
Option A is correct.
Step-by-step explanation:
See the two graphs given in the diagram attached.
The first graph shows the function f(x) = x²
Hence, it passes through the points (1,1), (-1,1), (2,4) and (-2,4) points.
Now, from the plotted second graph we see the points (2,2), and (-2,2) are on the curve.
Hence, the y-value corresponding to the same x-value reduces by a factor [tex]\frac{1}{2}[/tex] in the second graph i.e. the graph of y = g(x) compared to the first graph.
So, we can conclude that the transformed graph has the equation [tex]g(x) = \frac{1}{2} x^{2}[/tex].
Hence, option A is correct. (Answer)
Answer:
The answer is g(x) = (1/2) x^2
Step-by-step explanation:
mr.jones is driving his car. He notices that he has traveled 6 miles in the last 10 minutes. How far will mr.jones travel in the next 15 minutes if he continues driving at the same rate?
Answer:
9 Miles
Step-by-step explanation:
6+(6/2)=9
Hope this helps!
Answer: 9 miles
Step-by-step explanation:
6 = 10
x = 15
x= 15* 6/ 10
X= 90/10
x= 9
If A = {x | x = 3n, n € {2,3,4}} and
B = {x x = 4m - 3, m = {1,2,3}},
what element exists in the
intersection of these two sets?
Answer: 9
====================================
Explanation:
The intersection of the two sets is the list of all values that are in both sets at the same time.
Let's convert set A into roster notation. Roster notation means we just list out all the members (use ellipses if there are a lot of values you don't want to write out; luckily these sets are small). Plug n = 2 into x = 3n and you'll find that x = 6. Repeat for n = 3, and you get x = 9. Repeat for n = 4 and you get x = 12.
Set A looks like this: {6, 9, 12}
-------
Repeat the same basic steps for set B. We'll plug m = 1 into x = 4m-3 to get x = 1. Plug m = 2 into that same equation to get x = 5. Finally m = 3 leads to x = 9
Set B = {1, 5, 9}
-------
In summary,
A = {6, 9, 12}
B = {1, 5, 9}
We see that only 9 is in both sets at the same time.
Therefore, [tex]A \cap B = \left\{ 9 \right\}[/tex] which says "the intersection of set A and set B is the set { 9 } ".
The Venn Diagram shown below has the single element 9 in the overlapping region of the two circles. The other values are in their proper respective circles, but not inside the overlapping region. Set U is the universal set.
help pls pls Which words or phrases describe parallel lines?
SELECT ALL THAT APPLY!!!!
common points
coinciding
coplanar lines
perpendicular
never intersect
Answer:
Never intersectCoplanar linesPlease help whoever answers get brailnest
Answer:
-2/9
Step-by-step explanation:
A local hamburger shop sold a combined total of 614 hamburger and Cheeseburgers on Thursday. There were 64 more cheeseburgers sold then hamburgers. How many hamburger were sold on Thursday
Answer:
275
Step-by-step explanation:
h hamburgers
c cheeseburgers
(h + c) -total
(c + h) = 614
64 more cheeseburgers sold then hamburgers:
64 more cheeseburgers sold then hamburgers
(c - h) = 64
(c + h) = 614
+(c - h) = 64
2c = 678
c = 678/2 = 339
c + h = 614
339 + h =614
h = 614 - 339 = 275
You receive an 11 percent commission on all sales you make if your commission for the month is 512.50 dollars what was your total sales
Total sales were $4659.1
Step-by-step explanation:
Given,
Commission = 11%
Amount of commission = $512.50
Let,
total sales = x
Therefore,
11% of x = 512.50
[tex]\frac{11}{100}x=512.50\\0.11x=512.50[/tex]
Dividing both sides by 0.11
[tex]\frac{0.11x}{0.11}=\frac{512.50}{0.11}\\x= $4659.1[/tex]
Total sales were $4659.1
Keywords: percentage, division
Learn more about division at:
brainly.com/question/13076219brainly.com/question/13096001#LearnwithBrainly
If a dress were 20% off of the marked price of $32.00, how much would it cost?
Answer:
25.6
Step-by-step explanation:
$32.00 / 100 = $0.32
$0.32 x 20 = $6.40
So $32.00 - $6.40 = $25.60
Answer: $25.60
Step-by-step explanation: you just subtract 20% fro 30 on a calculator.
HELP
9) An aircraft carrier left Hawaii and traveled
toward dry dock at an average speed of 15
mph. A submarine left two hours later and
traveled in the opposite direction with an
average speed of 15 mph. Find the
number of hours the submarine needs to
travel before the vessels are 300 mi. apart.
Answer:
The Time taken by submarines to travel before the vessel is 11 hours
Step-by-step explanation:
Given as :
The average speed of aircraft carrier = 15 mph
The average speed of submarine = 15 mph
The distance between them = 300 mile
The time taken by aircraft = T hour
The time taken by submarine = T + 2 hour
Now, Speed = [tex]\dfrac{\textrm Distance}{\textrm Time}[/tex]
So, Distance = Speed × Time
Now,
300 miles = 15 × T + 15 × ( T + 2)
Or, 300 = 15 T + 15 T + 30
or, 300 - 30 = 30 T
Or, 270 = 30 T
∴ T = [tex]\frac{270}{30}[/tex]
I,e T = 9 hours
So, T + 2 = 9 + 2 = 11 hours
Hence The Time taken by submarines to travel before the vessel is 11 hours Answer
Which of the following is NOT a quadrilateral?
Triangle
Rectangle
Square
Trapezoid
Answer:
Triangle
The triangle has 3 sides but the other ones have 4 sides. A quadrilateral has 4 sides.
8 parentheses y -9 close parentheses equals -32
Answer:
y = 5
Step-by-step explanation:
Divide each side by 8 to get (y-9) = -4.
Add 9 to each side to isolate the variable y. This leaves you with y = 5
Answer:
y = 5Step-by-step explanation:
[tex]\bold{METHOD\ 1:}[/tex]
[tex]8(y-9)=-32\qquad\text{divide both sides by 8}\\\\\dfrac{8\!\!\!\!\diagup(y-9)}{8\!\!\!\!\diagup}=\dfrac{-32\!\!\!\!\!\diagup^4}{8\!\!\!\!\diagup_1}\\\\y-9=-4\qquad\text{add 9 to both sides}\\\\y-9+9=-4+9\\\\y=5[/tex]
[tex]\bold{METHOD\ 2:}[/tex]
[tex]8(y-9)=-32\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(8)(y)+(8)(-9)=-32\\\\8y-72=-32\qquad\text{add 72 to both sides}\\\\8y-72+72=-32+72\\\\8y=40\qquad\text{divide both sides by 8}\\\\\dfrac{8y}{8}=\dfrac{40}{8}\\\\y=5[/tex]
Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is x − 2?
The area of the rectangle with dimensions (3x + 5) by (x - 2) is represented by the algebraic expression 3x² - x - 10.
The area of a rectangle is found by multiplying its length by its width. Given a rectangle with length (3x + 5) and width (x - 2), we can find its area by using the formula for the area of a rectangle, which is length × width.
Area = (3x + 5)(x - 2)
By expanding this, we use the distributive property:
Area = 3x(x) + 3x(-2) + 5(x) + 5(-2)
Area = 3x² - 6x + 5x - 10
By combining like terms, we get:
Area = 3x² - x - 10
Which of the following points is a solution to a system of linear equations
y<3x+5
y>-2/3x-3
_
a.(3,14)
b.(3,9)
c.(3,-14)
d.(3,-9)
Final answer:
The point (3,9) is the solution to the system of linear equations because it satisfies both inequalities y < 3x + 5 and y > -2/3x - 3 when the values of x and y are substituted into them.
Explanation:
To determine which of the given points is a solution to the system of linear equations:
y < 3x + 5
y > -2/3x - 3
We substitute the x and y values of each option into the inequalities to find a match.
For point (3,14): Substitute x = 3 and y = 14 into the inequalities.
14 < 3(3) + 5, which simplifies to 14 < 14; this is false.14 > -2/3(3) - 3, which simplifies to 14 > -5; this is true.So, (3,14) does not satisfy both inequalities.For point (3,9): Substitute x = 3 and y = 9 into the inequalities.9 < 3(3) + 5, which simplifies to 9 < 14; this is true.9 > -2/3(3) - 3, which simplifies to 9 > -5; this is true.Therefore, (3,9) satisfies both inequalities and is the solution.Points (3,-14) and (3,-9) can be quickly dismissed as they give negative values for y, which won't satisfy the first inequality since it requires y to be less than a positive value.
Translate the sentence into an inequality.
Four subtracted from c is less than - 20 .
Answer:
[tex]\displaystyle -4 + c < -20[/tex]
Step-by-step explanation:
You could either do what I did in the above answer, or you could do this:
[tex]\displaystyle c - 4< -20[/tex]
It does not matter how you write it, as long as you understand the concept!
I am joyous to assist you anytime.
x-5y=33
5x-6y=70
solve the system by the addition method
For this case we have the following system of equations:
[tex]x-5y = 33\\5x-6y = 70[/tex]
We multiply the first equation by -5:
[tex]-5x + 25y = -165[/tex]
Thus, we have the equivalent system:
[tex]-5x + 25y = -165\\5x-6y = 70[/tex]
We add the equations:
[tex]-5x + 5x + 25y-6y = -165 + 70\\19y = -95\\y = - \frac {95} {19}\\y = -5[/tex]
We find the value of the variable "x":
[tex]x-5 (-5) = 33\\x + 25 = 33\\x = 33-25\\x = 8[/tex]
Thus, the solution of the system is:
[tex](x, y) :( 8, -5)[/tex]
Answer:
[tex](x, y) :( 8, -5)[/tex]
Alex wants to buy the same number of stamps and envelops. Stamps are sold in packs of 14 and envelops are sold in the packs of 10.
What is the least number of each he could buy to have the same number of stamps and envelops?
Answer:
5 numbers of stamp packs and 7 number of envelop packs that Alex has to buy.
Step-by-step explanation:
Alex wants to buy the same number of stamps and envelops.
Stamps are sold in packs of 14 and envelop are sold in the packs of 10.
Now, we have to find the least number of stamp packs and envelop packs that Alex should buy to get an equal number of stamps and envelops.
The least common multiple of 14 and 10 will give the result.
14 has multiples 14, 28, 42, 56, 70, .......
And 10 has multiples 10, 20, 30, 40, 50, 60, 70, ........
Therefore, 70 is the least common multiple.
In that case 5 numbers of stamp packs and 7 number of envelop packs that Alex has to buy to get 70 stamps and 70 envelop. (Answer)
The least number of stamps and envelopes Alex can buy to have the same number is 70 of each, which he can get by purchasing five packs of each.
Explanation:Alex wants to buy the same number of stamps and envelopes. To find the least number of each he could buy to have the same number, we need to find the least common multiple (LCM) of the two pack sizes, 14 (stamps) and 10 (envelopes).
The multiples of 14 are 14, 28, 42, 56, 70, etc., and the multiples of 10 are 10, 20, 30, 40, 50, 60, 70, etc. The first common multiple they share is 70.
Therefore, Alex can buy five packs of envelopes (5 x 10 = 50 envelopes) and five packs of stamps (5 x 14 = 70 stamps) to have the same number of each, which is 70.
Nders, Cones, and Spheres
The radius of a sphere is 3 inches. Which represents the volume of the sphere?
12 cubic inches
36.2 cubic inches
647 cubic inches
817 cubic inches
TIME REM
55:20
Volume of sphere having radius of 3 inches is 113.04 cubic inches.
Solution:
Given that the radius of a sphere is 3 inches. Need to determine the volume of sphere
Formula for volume of sphere is as follows :
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
Where V is volume of sphere , π is constant value = 3.14 and r = radius of a sphere.
In our case, r = 3 inches
On substituting the value of π as 3.14 and value of r as 3 inches in the formula of volume of sphere, we get
[tex]V=\frac{4}{3} \times 3.14 \times 3^{3}=4 \times 3.14 \times 9=113.04 \text { cubic inches }[/tex]
Hence volume of sphere having radius of 3 inches is 113.04 cubic inches.
Find the difference between -14w - 3 and 5w.
-9 w - 3
-19 w + 3
-19 w - 3
-22 w
Answer:
The difference between the given two expression as - 19 w - 3 .
Step-by-step explanation:
Given algebraic expression as
- 14 w - 3 and 5 w
Now, Let the difference between the given two expression = x
or, x = ( - 14 w - 3 ) - 5 w
or , x = - 14 w - 5 w -3
or, x = w ( - 14 - 5 ) - 3
Or, x = -19 × w - 3
∴ x = -19 w -3
So, The difference is - 19 w - 3
Hence The difference between the given two expression as - 19 w - 3 . Answer
-3x+15=4-2x what are excluded values
Answer:
x=11, now it's the right answer :/
Step-by-step explanation:
-3x+15=4-2x
-3x+11=-2x
11=x
Fixed
3(3p +5) -6p + 3p(5-1)
Answer:
15p+15
Step-by-step explanation:
3(3p+5)-6p+3p(5-1)
9p+15-6p+3p(4)
9p-6p+15+12p
3p+12p+15
15p+15
How can I factor 25x + 14
You can't factor anything out of this. At least I don't think
The expression 25x + 14 cannot be traditionally factored as it does not have any common factors, nor does it follow any special binomial patterns. It is already in its simplest form.
Explanation:
The expression 25x + 14 cannot be factored in the traditional sense because it does not have common factors nor does it fit the pattern of a special binomial such as a difference of squares or a perfect square trinomial. The expression is already in its simplest form unless we have additional restrictions or information about variable x. If we were to consider factorization in terms of factoring out a greatest common factor (GCF), since the coefficients 25 and 14 have no common factors other than 1, we cannot factor anything out. Sometimes, in different contexts, we can apply transformations, such as multiplying an equation by a constant to simplify fractions or rearranging terms for clarity, but these strategies do not apply to the expression 25x + 14 as given.
Which of the following is the area of a trapezoid whose dimensions are base one = 10 cm, base two = 5 cm, and height = 2 cm?
30 squared cm
30 cm
15 cm
15 squared cm
Answer:
The correct answer is D. 15 squared centimeters.
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Base one = 10 centimeters
Base two = 5 centimeters
Height = 2 centimeters
2. Let's find out the area of the trapezoid, using the following formula:
Area = 1/2 (Base one + Base two) * Height
Replacing with real values:
Area = 1/2 (10 + 5) * 2
Area = 1/2 (15 * 2) = 1/2 (30)
Area = 15 centimeters ²
The correct answer is D. 15 squared centimeters.
PLEASE HELP ASAP!!!!
2. Compose two dependent clauses. Do not use any of the clauses given above.
Example: after the meal was served
Answer:
A subordinate clause—also called a dependent clause—will begin with a subordinate conjunction or a relative pronoun and will contain both a subject and a verb. This combination of words will not form a complete sentence. It will instead make a reader want additional information to finish the thought.
if 16 candy bars cost $20,how much do 24 candy bars cost.?
To find the cost of 24 candy bars, calculate the cost per candy bar (found by dividing $20 by 16, equaling $1.25) and multiply it by 24. Therefore, 24 candy bars would cost $30.
Explanation:The subject of the question involves unit pricing, a common concept in mathematics. To find the cost of 24 candy bars, first identify the cost per candy bar, then multiply this unit price by the number of candy bars in question.
From the question, we know that 16 candy bars cost $20. So the unit price, or cost per candy bar, is $20 divided by 16, which equals $1.25.
Therefore, the cost of 24 candy bars would be $1.25 (the cost per candy bar) multiplied by 24 (the number of candy bars), which equals $30. Hence, 24 candy bars would cost $30.
Learn more about Unit Pricing here:https://brainly.com/question/32390020
#SPJ2
how do you find x? really confused
Answer:
[tex]x= 28\°[/tex]
Step-by-step explanation:
We have labelled the given diagram and redrawn again in the attachment.
Also from the labelled diagram given below the given details are;
∠CPQ =[tex](5y-4)\°[/tex]
∠RQF =[tex]3y\°[/tex]
∠BRH =[tex](2x+13)\°[/tex]
∠CPQ = ∠PQF (Alternate Interior Angle)
∠PQF + ∠RQF =180° (Straight angle property)
Now Substituting the values we get;
[tex]5y-4+3y=180\\8y=180+4\\8y=184\\y=\frac{184}{8}=23\°[/tex]
∠RQF =[tex]3y\° = 3\times23 = 69\°[/tex]
∠RQF = ∠BRH (corresponding angles)
[tex]69=2x+13\\2x = 69 -13\\2x=56\\x = \frac{56}{2} = 23\°[/tex]
Hence x = 23°
Simplify the expression: (6 + 4i) − (5 + i). 1 + 3i 1 + 5i 11 + 3i 11 + 5i
Answer:
1+3i
Step-by-step explanation:
(6+4i)-(5+i)
6+4i-5-i
1+4i-i
1+3i
Answer: 1+3i
Step-by-step explanation:
(6 + 4i) − (5 + i)
Before solving further, note that :
Minus × Minus = Plus
Plus × Minus = Minus
Plus × Plus = Plus
(6 + 4i) − (5 + i)
Open the bracket
= 6 + 4i - 5 - i
Collect like terms
= 6 - 5 + 4i - I
= 1 + 3i
Given that (–2, y) and (4, 6) are points on a line whose slope is-4/3 , find y.
Answer:
The value of y is 14
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have the points
[tex](-2, y)\ and\ (4, 6)[/tex]
[tex]m=-\frac{4}{3}[/tex]
substitute in the formula the given values
[tex]-\frac{4}{3}=\frac{6-y}{4+2}[/tex]
solve for y
[tex]-\frac{4}{3}=\frac{6-y}{6}[/tex]
Multiply by 6 both sides
[tex]-8=6-y[/tex]
[tex]y=6+8=14[/tex]
1. Reduce: 21 =
21
Reduce:
28
Answer:
3/4
Step-by-step explanation:
21/28=3/4
Answer:
3/4
Step-by-step explanation:
help me plssss last one i need
Answer: y=2x-20
Step-by-step explanation:
y+18=2(x-1)
y+18=2x-2
y=2x-20
Which graph represents a linear function that has a slope of 0.5 and a y-intercept of 2?
mc008-1.jp
mc008-2.jp
mc008-3.jp
mc008-4.jp
skskskksksksk
D
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of the line in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
In this problem we have
[tex]m=0.5\\b=2[/tex]
substitute
[tex]y=0.5x+2[/tex]
The easiest way to graph a line is with a pair of points.
Find the intercepts
The y-intercept is given ----> point (0,2)
The x-intercept is the value of x when the value of y is equal to zero
For y=0
[tex]0=0.5x+2[/tex]
[tex]x=-4[/tex]
so
The x-intercept is the point (-4,0)
Plot the intercepts and join the points to graph the line
using a graphing tool
The graph in the attached figure