answer x>1/2 (sqrt(21) - 3)
x>0.791288
Find the equation of the line through point (3,−3) and parallel to y=3x−4. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12). Y=
Answer:
y =3x - 12
Step-by-step explanation:
I'm fairly certain this is the answer.
Consider the point (3,-3). In terms of variables this is written (x,y).
Remember that the equation for slope is y = mx + b.
In that equation, "b" is your y-intercept, and "m" is your slope.
If 2 lines are parallel, they have the same slope but different y-intercepts. So you can use the slope from the equation y=3x-4 to find the parallel line. You can also plug in the values 3 and -3 to solve for b, our y-intercept.
If we set up the equation, we have -3 = 3(3) + b.
Now solve for b.
-3 = 9 + b
Combine like terms, so that -12 = b, and you have your y-intercept.
To create the equation, take out the coordinate pair that the line passes through, and only have the SLOPE and the Y-INTERCEPT showing in the equation.
Therefore, y = 3x - 12
in Germany, VAT is at 19 % Jeremy buys a calculator for 58.31 German money this price contains VAT find the amount of VAT paid by jeremy
Answer:
9.31?
Step-by-step explanation:
David, Malachy and Paul share some sweets in the ratio 4:3:3. David gets 24 sweets. How many did Paul get?
If David, Malachy and Paul share some sweets in the ratio 4:3:3 then Paul get 7.2 number of sweets
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that David, Malachy and Paul share some sweets in the ratio 4:3:3
All three shared 24 sweets together.
Let x be the number of sweets
4x+3x+3x=24
Add the like terms
10x=24
Divide both sides by 10
x=2.4
Now paul has 3x sweets so 3×2.4=7.2
Hence, Paul get 7.2 number of sweets
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2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The number 4 is outside of the circles.
On the Venn diagram, which region(s) represent the union of Set A and Set B (A⋃B)?
II
I and III
I, II, and III
I, II, III, and IV
Answer:
(A⋃B) = I, II, and III (C)
Step-by-step explanation:
Venn diagram is used to demonstrate the relationship between two or three sets. It enables visual organisation of data in a set.
From the information:
Set A = {I}
Set B = {II}
Set A⋂B = {III}
Where ⋂ means intersection.
A⋂B = objects that belong to set A and set B
Objects not belonging to any set = 4
U = Universal set
(A⋃B) means objects that belong to set A or set B
The objects that belong to set A or set B = I, II, and III
(A⋃B) = I, II, and III (C)
Answer:
The answer is C
Step-by-step explanation:
I took the test
I NEED HELP PLEASE, THANKS! :)
Answer:
2nd option: (0.5, 7), maximum; (2, 1) point of inflection; (3.5, -5), minimum.
Step-by-step explanation:
The maximum point, or a point of the graph with the highest y-value, is at
(0.5, 7).
The minimum point, or a point of the graph with the lowest y-value, is at
(3.5, -5).
The point of inflection is where the graph begins to change direction. This is at (2, 1).
Therefore, the 2nd option is correct.
How much bigger is 3/8 than 1/3 answer as a fraction
attachment help asap
Answer:
D, C, A, B
Step-by-step explanation:
Find common factor:
60 is the common denominator
2/5=24/60
2/3=40/60
1/4=15/60
1/10=6/60
Answer:
A. 2/5 = 0.4
B. 2/3 = 0.66
C. 1/4 = 0.25
D. 1/10 = 0.1
Arranging them in the box we have
D , C , A , B
Since D is the smallest followed by C followed by A followed by B which is the largest
Hope this helps
The origin is contained in the solution set for this system of inequalities
y< 2x + 4
y> -2x - 2
Select one:
O True
O False
Answer:
O True
Step-by-step explanation:
If we substitute (x, y) = (0, 0) into both inequalities, we have ...
0 < 2·0 +4 ⇒ 0 < 4 . . . true
0 > -2·0 -2 ⇒ 0 > -2 . . . true
The point (0, 0) satisfies both inequalities, so is contained in the solution set.
The diameter of a semicircle is 98 meters. What is the semicircle's radius?
Answer:
It is 49
Step-by-step explanation:
Divide 98 by 2 to get semicircle radius.
Answer:
49 meters
Step-by-step explanation:
The radius is half of the diameter
98 divided by 2 is 49 which is the radius of the semicircle
Mitch is buying candy bars for his friends he wants to give 2 bars to each friend and he wants to have 10 spare bars he can afford to buy 24 candy bars
Answer:
e can treat 7 friends
Step-by-step explanation:
2f+10=24
2f=24-10=14
f=14/2=7
Hi, can someone please answer this question? Thanks!!!
Answer:
m∠QPR = 20°
Step-by-step explanation:
Step 1: Find x
4x + 27 + 9x - 115 = 107
13x - 88 = 107
13x = 195
x = 15
Step 2: Find m∠QPR
9(15) - 115
135 - 115
m∠QPR = 20°
The fletcher family puts loose change into a jar every evening. Once a month, the family counts the coins and prepares to take it to the bank, but removes all the pennies first. Last month, they found there were 14 more quarters than dimes, and the number of nickels was 8 less than 4 times the number of dimes. If the total value of the nickels, dimes, and quarters was $15.75, how many dimes did they have?
Answer:
They have 23 dimes
Step-by-step explanation:
Let x be the number of dimes
1 dime = 0.1 dollar
x dimes = 0.1x dollars
They found there were 14 more quarters than dimes.
No. of quarters = x+14
1 quarter = 0.25 dollar
(x+14) quarter =0.25 (x+14)
The number of nickels was 8 less than 4 times the number of dimes.
So, No. of nickels= 4x-8
1 nickel = 0.05 dollar
(4x-8) nickel = 0.05(4x-8) dollar
The total value of the nickels, dimes, and quarters was $15.75.
So,0.1x+0.25 (x+14)+ 0.05(4x-8)=15.75
x=23
Hence they have 23 dimes
Suppose that F(x)=x^3 and G(x)=-2x^3. Which statement best compares the graph of G(x) with the graph of F(x)?
Answer:
Answer: Choice C)
Stretched vertically, flipped over x axis, shifted 7 units down
Step-by-step explanation:
The graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2.
What is the general equation of a Cubic function?A cubic function is of the form f(x) = ax³ + bx² + cx + d, where a, b, c, and d are constants and a ≠ 0. It has a degree of 3 and has 3 possible roots.
We have the following functions -
f(x) = x³
g(x) = -2x³
The graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2. Refer to the graph attached.
Therefore, the graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2.
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What is the length of Line segment S R?
The length of line segment SR is 15.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Using Pythagorean theorem.
The sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse
16² + (RT)² = 20²
256 + (RT)² = 400
Subtract 256 on both sides
(RT)² = 144
Take square root on both sides
RT = 12
By using altitude theorem we find ST:
16/12= 12/ST
Apply cross multiplication
16ST = 144
Divide both sides by 16
ST = 9
Using Pythagorean theorem again:
12² + 9² = SR²
144 + 81 = SR²
225 = SR²
Take square root on both sides
SR= 15
Hence, the length of line segment SR is 15.
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calculate the volume:
(image will be inserted)
Answer:
D. 44 dm³
Step-by-step explanation:
Volume of cuboid equals:
a × h
4 × 11
= 44
The volume of the shape is 44 dm³.
A map is drawn to a scale of 1:50000.The distance between long mountain and plaine des papayes is 17.5 cm on the map.find the actual distance in km.
Answer:
8.75 km.
Step-by-step explanation:
You can set up a ratio of the map to the actual distance of [tex]\frac{1}{50000}[/tex].
Then, this ratio can be used to cross multiply and divide to get an equivalent ratio for the distance:
[tex]\frac{1}{50000}[/tex]=[tex]\frac{17.5 cm}{x cm}[/tex] By cross-multiplying we have x (in centimeters) = 17.5×50000. This tells us that x = 875,000 cm.
However, the answer asks for the distance in kilometers, so we need to convert it. There are 100,000 centimeters in a kilometer, so by dividing: 875000÷100000=8.75 kilometers.
Here is a list of numbers: 8, 6, 19, 14, -19, -3, -14, 20, -9 State the median.
Answer:
6
Step-by-step explanation:
rearrange the numbers from smallest to biggest:
-19, -14, -9, -3, 6, 8, 14, 19, 20
the set of data the question requires is the middle data. there are 9 sets of data. the middle data = (9 + 1) ÷ 2 = 5
find the fifth piece of data from the rearranged order.
ans: 6
Answer:
6
Step-by-step explanation:
gotchu G
Maurice bought 25 shares of stock at $9.85 per share and sold them for $11.22 per share. (Do not use commas, percentage signs or dollar signs in your answers. Round percentage answers to the nearest tenth) What was his purchase price?
Solution: 25 × $9.85= $246.25 purchase price
25 × $11.22 = $280.5 sale price
$280.5 – $246.25 = $34.25 profit in dollars
$34.25 ÷ $246.25 = 0.139 = 13.9% ROI
Purchase price of the share is equals to 246.25dollars.
Profit percentage is equals to 13.9 percentage ( nearest tenth).
What is purchase price?
" Purchase price is defined as the total amount paid to buy any product."
Formula used
Profit = Selling price - Purchase price
Profit percentage = [tex]\frac{profit}{cost price} (100)[/tex]
According to the question,
Total number of shares = 25
Purchase price of one share = 9.85 dollars
Selling price of 1 share = 11.22 dollars
Therefore,
Purchase price of 25 shares = (9.85 × 25 )dollars
= 246.25 dollars
Selling price of 25 shares = (11.22 × 25) dollars
= 280.5 dollars
Selling price > Purchase price
Therefore,
Profit = Selling price - Purchase price
= 280.5 - 246.25
= 34.25 dollars
Substitute the value in the formula we get,
Profit percentage = [tex]\frac{34.25}{246.25} (100)[/tex]
= 13. 9 percentage ( nearest tenth)
Hence, purchase price of the share is equals to 246.25dollars.
Profit percentage is equals to 13.9 percentage ( nearest tenth).
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which number line represents the solution to the inequality
Both Euclidean and non-Euclidean geometry have been accepted as valid types of geometry. True or False?
Answer: true
Step-by-step explanation:
Solve: g^2x + 1 = g^3x – 2
[tex]\displaystyle\bf\\g^{2x+1}=g^{3x-2}\\\\g=g\\\\3x-2=2x+1\\\\3x-2x=1+2\\\\\boxed{\bf x=3}[/tex]
find the size of angle yzx give your answer to 3 significant figures 7.5cm and 22.3cm
Answer:19.7
Step-by-step explanation:
Sin‐(7.5/22.3) on your calculator
The answer to 3 significant figures is 19.7
Size of angle YZX for the given measurements of triangle YZX is equal to 19.651°( 3 significant figure).
What is an angle?" Angle is defined as when two rays meet at one point known as vertex."
Formula used
[tex]sin\theta = \frac{ opposite side }{Hypotenuse}[/tex]
According to the question,
As shown in the figure,
In triangle YXZ,
Angle X = 90 degrees
Opposite side to ∠YZX , XY = 7.7cm
Hypotenuse , ZY = 22.3 cm
Substitute the value in the formula to get the value of size of angle YZX,
[tex]sin YZX = \frac{XY}{ZY}[/tex]
⇒[tex]sin YZX = \frac{7.5}{22.3}[/tex]
⇒[tex]sin YZX = 0.3363[/tex]
⇒ [tex]YZX = sin^{-1} (0.3363)[/tex]
⇒∠YZX = 19.651°
Hence, size of angle YZX for the given measurements of triangle YZX is equal to 19.651°( 3 significant figure).
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please help me please :(
Answer:
18
Step-by-step explanation:
There is a string that is 3 yards long that is divided into pieces that are 1/6 of yard long. Divide the total length by the length it was divided into to find the number of pieces.
When dividing with fractions, the second number will be inverted and multiplied by the first number.
3 ÷ (1/6) = 3 × 6 = 18
You will have 18 pieces
75 + 13 + ?? = 140 i dont know what it is.
Answer:
52
Step-by-step explanation:
140 - 13 = 127
127 - 75 = 52
Check your work:
75 + 13 + 52
= 140
52
Step-by-step explanation:
75 + 13=88
140 - 88=52
75 + 13 + 52=140
hope it helps stay safe and have a good day =D
3/4 of a worker's earning is #630. Find his total earning for the month
Answer:
840
Step-by-step explanation:
Let x be the total earning.
3/4 × x = 630
x = 630 × 4/3
x = 840
The worker’s total earning for the month is 840.
. A woman fences a 3m by 4m rectangular plot to keep her chickens in. The fencing costs N200 per metre. How much does it cost to fence the plot?
1 point
Answer:
Cost: "N2800"
Step-by-step explanation:
I'm assuming "N200" is "$200"? But I'll just use it as "N200"
Finding the perimeter:
3+3+4+4=
6+8=
14 metres
Finding the cost:
N200×14=
N2800
Which of the following is a like radical to 6x2?
o x(V6x
(VR)
o 6
3
O
4
6x2
o x(VB)
Answer:
3
Step-by-step explanation:
y = 4x – 6
can someone find me the slope for this thanks
Answer:
Slope = m = 4
Step-by-step explanation:
y = 4x-6
Comparing this with the standard slope-intercept equation:
[tex]y = mx+b[/tex]
Where m is the slope and b is the y-intercept.
So, we get:
Slope = m = 4
Answer:
4
Step-by-step explanation:
The equation of a line has a formula.
y = mx + b
Where m is the slope, and b is the y-intercept.
The equation for this line is given:
y = 4x + - 6
m = 4
b = -6
4 is the slope, and -6 is the y-intercept.
Find the simplest pattern and insert the missing term(s) of each sequence. 4, 7, 12, 21, 38, ___
I need help ASAP please <3.
Answer:
71
Step-by-step explanation:
4, 7, 12, 21, 38, ...
2+2=2¹+24+3= 2²+38+4= 2³+416+5= 2⁴+532+6= 2⁵+6next term:
2⁶+7= 64+7=71nth term:
2ⁿ+(n+1)Please help again! Same thing!
Answer:
a = - 3, b = 5
Step-by-step explanation:
To rationalise the denominator multiply the numerator/ denominator by [tex]\sqrt{2}[/tex]
= [tex]\frac{\sqrt{2}(10-\sqrt{18}) }{(\sqrt{2})^2 }[/tex]
= [tex]\frac{10\sqrt{2}-\sqrt{36} }{2}[/tex]
= [tex]\frac{10\sqrt{2}-6 }{2}[/tex]
= 5[tex]\sqrt{2}[/tex] - 3
= - 3 + 5[tex]\sqrt{2}[/tex] ← in the form a + b[tex]\sqrt{2}[/tex]
with a = - 3 and b = 5