Answer:
Since
x
is on the right side of the equation, switch the sides so it is on the left side of the equation.
x
2
−
2
x
+
3
=
G
(
x
)
Multiply
G
by
x
.
x
2
−
2
x
+
3
=
G
x
Subtract
G
x
from both sides of the equation.
x
2
−
2
x
+
3
−
G
x
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
1
,
b
=
−
2
−
G
, and
c
=
3
into the quadratic formula and solve for
x
.
−
(
−
2
−
G
)
±
√
(
−
2
−
G
)
2
−
4
⋅
(
1
⋅
3
)
2
⋅
1
Simplify.
Tap for more steps...
x
=
2
+
G
±
√
G
2
+
4
G
−
8
2
The final answer is the combination of both solutions.
x
=
2
+
G
+
√
G
2
+
4
G
−
8
2
x
=
2
+
G
−
√
G
2
+
4
G
−
8
2
Step-by-step explanation:
s
A design for a lbrary has a scale of
1 inch = 1 foot. The height of the library
in the drawing is 12 inches. What is the
actual height of the library?
ale
del?
Answer:
12
Step-by-step explanation:
The height of the library in the drawing were 12.
what is a terminating decimal
Answer:
A terminating decimal is a decimal number that has digits that end.
For example, 0.25. In this decimal, the digit ends at 5. It has 2 decimal digits.
Answer:
a decimal numeral in which, after a finite number of decimal places, all succeeding place values are 0, as ⅛ = 0.125 (contrasted with nonterminating decimal).
Step-by-step explanation:
What is another name for line m?
Does anyone know this?
Answer:
exact form: x = √ 17 + 9 , − √ 17 + 9
decimal form: 13.12310562
Step-by-step explanation:
Add 43 to both sides of the equation. Add − 9 and 43 .Divide each term by 2. Then simplify it. Take the square root of each side to set up the solution for x. The solution is the result of both the positive and negative portions of the solution.
Hope this helps!
Which of the following would eliminate the variable on the left side of the given equation? 36 - 19w = -6w + 41 add -19w add 19w add 6w add -36
Answer:
[tex]$w=-\frac{5}{13} $[/tex]
Step-by-step explanation:
[tex]36 - 19w = -6w + 41[/tex]
Add 19w in both sides
[tex]36 - 19w+19w = -6w+19w + 41[/tex]
[tex]36 = 13w + 41[/tex]
Add -41 both sides
[tex]-5 = 13w[/tex]
Divide both sides by 13
[tex]$w=-\frac{5}{13} $[/tex]
7x - 11 = 5x + 25 what is the answer to this question
Answer:
12x+14
Step-by-step explanation:
Answer: x=18
Step-by-step explanation: 7x−11=5x+25
Step 1: Subtract 5x from both sides.
7x−11−5x=5x+25−5x
2x−11=25
Step 2: Add 11 to both sides.
2x−11+11=25+11
2x=36
Step 3: Divide both sides by 2.
2x /2 = 36 /2
x=18
Answer:
x=18
Which of the following steps is included in the construction of a perpendicular line through a point on a line? Connect arcs that are above and below the given line with a straightedge. Connect arcs that are above the original line with a straightedge. Create arcs on either side of a point that is off the given line. Create a copied angle by using the first two lines as the original angle.
Answer:
A because
Step-by-step explanation:
Which the following steps is included in the construction of a perpendicular line through a point on a line? Connect arcs that are above and below the given line with a straightedge. Connect arcs that are above the original line with a straightedge. Create arcs on either side of a point that is off the given line. Create a copied angle by using the first two lines as the original angle.
so the answer is A
The step included in the construction of a perpendicular line through a point on a line is the option:
Connect arcs that are above the original line with a straightedge
The reason for the above selection is as follows:
The steps in the construction of a perpendicular line through a point on a line include
The compass needle is placed at the point through which the perpendicular line is to pass and two arcs or equal radius, r, are drawn on either side of the point crossing the line
Increase the compass width to more than the radius, r, above, place the compass needle at the intersections of the arc and the line drawn above and draw an arc either above or below the line
Repeat the above step from the other intersection of the arc on the other side of the point on the line and draw another arc that intersects the arc in the above step, above or below the line
With the straightedge, draw a line from the given point that passes through the intersection of the arcs above or below the line to complete the construction of a perpendicular line passing through a point on a line
Therefore, the included step in the construction of a perpendicular line through a point is; Connect arcs that are above the original line with a straightedge
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what is the value of x ?
Answer:
x = 70
Step-by-step explanation:
Both angles must add up to 180°, by the definition of a line.
Step 1: Set up equation
x - 31 + 2x + 1 = 180
Step 2: Solve for x
3x - 30 = 180
3x = 210
x = 70
2. What is 7.5% in decimal notation?
0.075 if you mean that answer
Consider the statements below. Statement 1: All circles are similar. Statement 2: All squares are similar. Statement 3: All right triangles are congruent. Statement 4: All equilateral triangles are congruent. Which statement is/are correct?
Answer:
Statement 1 2 and 4
Step-by-step explanation:
Declan is hiking in the Smoky Mountains. He has gone down a 125 ft slope, traveled up a 250 ft rise, and then dropped back down 50 ft. Write an ADDITION expression to represent the scenario.
Step-by-step explanation:
-125+ 250+ (-50) = 75
Is there any remainders?¿
Dominic is driving on a long road trip. He currently has 10 gallons of gas in his car. Each hour that he drives, his car uses up 1.25 gallons of gas. Write an equation to represent the scenario. How much gas will Dominic have in 3 hours?
Answer:
(a) Equation: [tex]T_n = 11.25 - 1.25n[/tex]
(b) 7.5 gallons
Step-by-step explanation:
Given
Current Gas = 10 gallon
Every Hour = -1.25 gallon
Solving for (a): An equation for the scenario
This question represents an Arithmetic Progression and will be solved using the following formula:
[tex]T_n = a + (n - 1)d[/tex]
Where
[tex]a = 10[/tex]
[tex]d = -1.25[/tex]
Substitute these values in the formula
[tex]T_n = 10 + (n - 1) * -1.25[/tex]
[tex]T_n = 10 -1.25n +1.25[/tex]
Collect Like Terms
[tex]T_n = 10 + 1.25 - 1.25n[/tex]
[tex]T_n = 11.25 - 1.25n[/tex]
Solving for (b): In this case, n - 3
Substitute 3 for n in [tex]T_n = 11.25 - 1.25n[/tex]
[tex]T_3 = 11.25 - 1.25 * 3[/tex]
[tex]T_3 = 11.25 - 3.75[/tex]
[tex]T_3 = 7.5[/tex]
7.5 gallon of gas left
Which sequence of transformations would yield a rectangle similar to the original rectangle but not congruent?
a.) reflection and rotation
b.) rotation and translation
c.) translation and dilation
d.) translation and rotation
Answer:
It would be translation and dilation.
Step-by-step explanation:
The sequence of transformations that will give a similar rectangle is the one in option C "translation and dilation".
Which sequence of transformations would yield a similar rectangle?Remember that two similar rectangles have the same shape, but different size.
This means that, if in the sequence of transformations we have a dilation, then the image of the transformation will be similar to the original rectangle.
Notice that there is only one option with a dilation which is option C.
"translation and dilation"
So that is the correct option.
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A rectangular garden has a length of
x + 5 and a height of 2x + 7. What
is the area in terms of x?
Answer:
area = 2x^{2} + 17x + 35 square unit
Step-by-step explanation:
if the height is the width:
area = (x + 5)(2x + 7)
area = [tex]2x^{2} + 7x + 10x + 35[/tex]
area = [tex]2x^{2} + 17x + 35[/tex] square unit
There are 12 inches in 1 foot and 5,280 feet in 1 mile. Jada ran 3 1 4miles.
Answer:
16579.2 feet is 3.14 miles (hope this is what you meant, you weren't very clear)
If your asking how many feet she ran she ran 1,657,920 feet.
Plz help ASAP I need to get this done I have been working on this for a while and I cant figure out
Answer:
1 11/80 or
91/80
Step-by-step explanation:
5 1/18 divided by 4 4/9
Change mixed numbers into improper fractions
5 1/18 = 91/18
4 4/9 = 40/9
91/18 divided by 40/9
= 91/80
= 1 11/80
Hope this helps!
Mr. Herkowitz owns a jewelry store. He marks up all merchandise 50 percent of
cost. If he sells a diamond ring for $1500, what did he pay the wholesaler for it?
Answer:
$750
Step-by-step explanation:
Destin walked 2km and Jane walked 4,000 ft. What is the approximate combined distance they walked? Note: 1 Foot (ft) is equal to 0.0003048 kilometer (km).
A 1 of a mile 5
B 50 yards
C 2 miles
D) 5 kilometers
Answer: Option C.
Step-by-step explanation:
The data is:
Destin walked 2km
Jane walked 4000ft.
Let's write both of those in the same units.
The data given is:
1ft = 0.0003048km.
and 4000ft is 4000 times that:
4000ft = 4000*1ft = 4000*0.0003048km = 1.22km
Then if we add those, we get:
Total distance = 2km + 1.22km = 3.22km
So we can already discard option D.
Now, we know that:
1km = 0.6214 miles.
then 3.22 km is 3.22 times that amount:
3.22km = 3.22*1km = 3.22*(0.6214 mi) = 2 miles
The correct option is C.
Use the Distributive Property to simplify 5(m+3+n).
Answer:
simplify 5(m+3+n)
5m+5n+15
Jenny bought 4 books in a bookstore. The prices of the first 3 books
were $10, $15 and $25. The average price she paid for the 4 books
was $18 per book. How much did she pay for the 4th book?
The cost of 4th book is $22.
What is the average?In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
Given that, Jenny bought 4 books in a bookstore. The prices of the first 3 books were $10, $15 and $25.
Let the cost of 4th book be $x.
Now, average = (10+15+25+x)/4
(50+x)/4 =18
50+x =72
x=$22
Therefore, the cost of 4th book is $22.
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Joe is selling hot chocolate for $0.25 per cup. It costs $12 for a case of cocoa mix. Each paper coffee cup costs $0.10. How many cups of hot chocolate does he need to break even?
Answer: He needs 80 cups.
Step-by-step explanation:$12/$.15=80 cups
Miranda was babysittingfor a friends parents saturday morning and was paid $12.50 per hour. Later that evening, she was babysitting for another couple that paid her $18.75 per hour for 5 hours. What was mirandas average rate of pay per hour for the day?
Answer:
10-20 dollars per hour
BRAINLY PLS HELP ME OUT, I NEED HELP !!!!
Answer:
it would be 6 units
Step-by-step explanation:
Answer: it would be 6
Step-by-step explanation:
a plumber charges 60$ for a service call plus $55 for each hour she works
this may help
My Step-by-step explanation:
the plumber would first make 60 dollars for the call , and then would make 55 dollars for each hour , or about 110 dollars every 2 hours. So, for 1 hour , she would have 105 dollars for the call , and 1 hour of work.
Identify the domain and range of the function. Enter your answers as numbers in the boxes; do not include units. Enter the range values in ascending order separated by commas. Age Admission Price under 5 free 5–17 $25 18–64 $40 65 and over $35 What is the domain?
Given that:
The tables values which represents Age and Admission Price is
Age Admission Price
under 5 free
5–17 $25
18–64 $40
65 and over $35
To find:
Domain and range of the function.
Solution:
Domain is the set of input values.
Here, domain is age because age is an independent variable.
Age cannot be negative, so
[tex]Domain:\{Age\geq 0\}=[0,\infity)[/tex]
Therefore, the domain is all number greater than or equal to 0.
Range is the set of input values.
Here, range is Admission Price because Admission Price is a dependent variable.
Admission Prices are free (i.e., 0), $25, $40 and $35. So
[tex]Range:\{0,25,35,40\}[/tex]
Therefore, range is {0,25,35,40}.
Pls help me!! Worth 50 points and will give brainliest
Answer:
A) 2 years at 3% interest = $10,617.57Step-by-step explanation:
loan amount (P) = $10,000
interest is compound monthly :
A = P (1 + r/n)^n*t
find:
which of these loan terms will have the lowest total cost?
A) 2 years at 3% interest
B) 3 years at 3% interest
C) 4 years at 3% interest
D) 5 years at 3% interest
solution:
plugin the values into the formula to get the accumulated monthly interest.
A. using 2 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ²
12
= $10,617.57
B. using 3 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ³
12
= $10,940.51
C. using 4 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁴
12
= $11.273.28
D. using 5 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁵
12
= $11,616.17
therefore, based on the above terms, option A which is $10,617.57
has the lowest accumulated monthly interest. (total cost)
A) 2 years at 3% interest = $10,617.57
Step-by-step explanation:
loan amount (P) = $10,000
interest is compound monthly :
A = P (1 + r/n)^n*t
find:
which of these loan terms will have the lowest total cost?
A) 2 years at 3% interest
B) 3 years at 3% interest
C) 4 years at 3% interest
D) 5 years at 3% interest
solution:
plugin the values into the formula to get the accumulated monthly interest.
A. using 2 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ²
12
= $10,617.57
B. using 3 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ³
12
= $10,940.51
C. using 4 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁴
12
= $11.273.28
D. using 5 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁵
12
= $11,616.17
therefore, based on the above terms, option A which is $10,617.57
has the lowest accumulated monthly interest. (total cost)
In a certain town, 25% of people commute to work by bicycle. If a person is selected randomly from the town, what are the odds against selecting someone who commutes by bicycle?
Answer:
So if 25% of the people go to work by bicycle then that means that 75% of people go to work by other means of transportation.
Therefore the odds against selecting someone who commutes by bicycle are 75% or 75/100 or 0.75.
Step-by-step explanation:
The odds against selecting someone who commutes by bicycle are 75%
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that In a certain town, 25% of people commute to work by bicycle. If a person is selected randomly from the town.
25% of the people go to work by bicycle then which means that 75% of people go to work by other means of transportation.
Therefore the odds against selecting someone who commutes by bicycle are 75% or 75/100 or 0.75.
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Solve for y:
3x - 5y = 20
Steps to solve:
3x - 5y = 20
~Subtract 3x to both sides
-5y = 20 - 3x
~Divide everything by -5
y = -4 + 3/5x
Best of Luck!
The equivalent value of the expression is y = ( 3x - 20 ) / 5
Given data ,
Let the equation be represented as A
Now , the value of A is
3x - 5y = 20
On simplifying the equation , we get
3x - 5y = 20
So , the left hand side of the equation is equated to the right hand side by the value of 20
Adding 5y on both sides , we get
3x = 20 + 5y
Subtracting 20 on both sides , we get
5y = 3x - 20
Divide by 5 on both sides , we get
y = ( 3x - 20 ) / 5
Therefore , the value of y = ( 3x - 20 ) / 5
Hence , the expression is y = ( 3x - 20 ) / 5
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the quotient of 45 and 5 form algebraic expression to verbal expression
