Answers
Step-by-step explanation:
the solution to a system of functions (lines or any other form of curve) is the point (or points), where they intersect.
in this case : the point (2, 0)
FYI : if there is no intersection, then there is no solution at all (like with parallel lines).
if the curves fully overlap for at least some distance, then we have infinitely many solutions (at least for real numbers). like for identical lines.
Related Questions
NEED HELP ASAPPPPPPPP
Answers
1) In figure 4, the area of the square os 16cubes. The shaded part is 7cubes, being one less than 4^2 or 4*4. The formula is n+n-1. This can be put in for 5 too. 5+5-1=9.
2) Using the formula, 50+50-1=99. Therefor, the shaded squares in the 50th figure would be 99.
Complete sentence:
1) The formula for the number of shaded squares in the Nth figure is n+n-1.
2) There would be 99 shaded squares in the 50th figure.
explanation: Knowing that the area of a square is length*width, in this case because the figures are squares, the length and the width are both the same number. From this, we can tell that for figure 45, the length is 45 and so this the width. The one square in the corner is both the length and the width so this is why we take 1 away or -1.
To go to the theater you would pay $8.00 for each ticket you purchase. Which answer choice correctly represents the algebraic expression for the cost of t tickets?
A. 8t
B. 8 + t
C. 8 – t
D.
Answers
Answer:
Step-by-step explanation:
a
Write an expression, in terms of h, for the perimeter of this triangle.
Simplify your answer fully.
7
14-6h
3h+3
Answers
Answer:
P = 24 - 3h-----------------------------------
It is assumed the sides of the triangle are7, 14 - 6h and 3h + 3Perimeter is the sum of three sidesP = a + b + cP = 7 + 14 - 6h + 3h + 3 = (7 + 14 + 3) + (3h - 6h) = 24 - 3hAnswer:
Perimeter = -3h + 24
Step-by-step explanation:
Forming the expression,
→ 7 + (14 - 6h) + (3h + 3)
Let's simplify the expression,
→ 7 + (14 - 6h) + (3h + 3)
→ 7 + 14 - 6h + 3h + 3
→ (-6h + 3h) + (7 + 14 + 3)
→ -3h + 24
Hence, answer is -3h + 24.
Notebook paper is about 0.003 in. thick. If you cut a sheet of paper in half, stack one piece on top of the other, cut those in half, stack all the pieces together, repeating this process 20 times, how high will the stack of paper be?
Answers
Answer:
765
Step-by-step explanation:
It takes an older computer 3 times as long to send out a company's email as it does a newer computer. Working together, it takes the two computers 15 minutes to send out the email. How long will it take the older computer to send out the email on its own?
Answers
60 minutes will be taken by the older computer to send out the email on its own.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
one computer takes x minutes and the other takes 3x minutes
in 1 minute, they send (1/x) and (1/3x) of the total message
together, (15/x)+(15/3x)=1, the full message
multiply by 3x to clear fractions
45+15=3x
60=3x
Divide both sides by 3
20=x
So for older computer 60 minutes it take to send out the email on its own.
Hence, 60 minutes will be taken by the older computer to send out the email on its own.
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Car Survey 1500 In a survey of people who owned a certain type of car ,675 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answers
The percent of the people surveyed were satisfied with the car will
be 45%.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Total number of people in a survey of car = 1,500
And, 675 people said they would buy that type of car again.
Now,
Total number of people in a survey of car = 1,500
And, The people surveyed were satisfied with the car = 675
Hence, The percent of the people surveyed were satisfied with the car is;
= 675 / 1500 x 100
= 0.45 x 100
= 45%
Thus, The percent of the people surveyed were satisfied with the car will
be 45%.
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What is the simplest fraction equal to 9%?
Answers
do we have to find x using quadratic formula or what?
Answers
Step-by-step explanation:
The base of the separated triangle is (x+5) - (2x - 4) = x + 5 - 2x + 4 = 9 - x
So, area of the separated triangle would be:-
1/2 * b* h
or, 1/2 * (9-x)* (x+3)
or, (6x + 27 - x² )/2
Total area of trapezium = (6x + 27 - x²)/2 + (2x-4)(x + 3)
or, 60 = (6x + 27 - x²)/2 + 2x² + 2x - 12
or, 60 = (6x + 27 - x² + 4x² + 4x - 24)/2
or, 120 = 10x + 3x² + 3
or, 0 = 3x² + 10x + 3 - 120
hence, 3x² + 10x - 117 = 0 (proved)
Again,
Use quadratic formula to figure out value of x.
(It woun't be a natural number)
Write the value of x with only one digit after it's decimal.
For f(x)=3x+18, what is the value of x for which f(x) =21
a. x=2
b. x=5
c. x=1
d. x=-1
Answers
Answer:
I believe the answer is C
Step-by-step explanation:
a. would = 24b. would = 33c. would = 21d. would = 15 :)I don't understand how to do this, pls help :(
Answers
Answer: A
Step-by-step explanation:
the length of a rectangle is 2 feet more than the width. Find the minimum dimensions if the perimeter is more than 16 feet and the length and width are integers.
Answers
Answer:
L = 6 feet ; W = 4 feet
Step-by-step explanation:
l = 2 + w
perimeter/2 = 8
l + w > 8
2 + w + w > 8
2 + 2w > 8
2w > 8-2
2w > 6
2/2 w > 6/2
w > 3
smallest integer > 3 = 4
W= 4
L = 4 + 2 = 6
HELPP ME PLEASEEEEEE
Answers
Answer:
We can see that as x increases, y decreases. This indicates a negative slope meaning that the two variables are negatively related.
Hope this helps! :)
ANSWER PLEASE!
Armando lost 975 coins playing his
favorite video game. He lost the same number of coins in each of the 15 levels he played. What was the change in Armando's coins at the end of each level of the game?
Answers
Answer: 81.25
Step-by-step explanation:
Answer:
Armando lost 65 coins each level.
Step-by-step explanation:
Given information,
→ Armando lost 975 coins playing his favorite video game.
→ He lost the same number of coins in each of the 15 levels he played.
Forming the equation,
→ 15x = 975
Now required value of x will be,
→ 15x = 975
→ x = 975/15
→ [ x = 65 ]
Hence, he lost 65 coins each level.
Rodrigo needs a total of 3 pounds of vegetables for a stew.
He already has 3/8 pound of onions and 1/3 pound of tomatoes.
How many more pounds of vegetables does he need to buy?
Answers
Using mathematical operations of addition and subtraction, Rodrigo needs to buy additional 2⁷/₂₄ pounds of vegetables.
What are mathematical operations?The basic mathematical operations are addition, subtraction, division, and multiplication.
These mathematical operations can be used to determine the results of mathematical expressions.
The total pounds of vegetables required for a stew = 3 pounds
Available pounds of vegetables:
Onions = 3/8 pounds
Tomatoes = 1/3 pounds
The total available pounds = 17/24 pounds
Additional pounds required = 3 - 17/24 pounds
= 2⁷/₂₄ pounds
Thus, based on addition and subtraction, Rodrigo needs additional 2⁷/₂₄ pounds of vegetables.
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4.5,3,1.5,0 fin the difference in the following sequence
Answers
-1.5 is the difference in the sequence
How determine the difference in a sequence?
An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms are the same.
The difference is usually called the common difference. For example, the sequence 3, 6, 9, 12 have a common difference of 3 i.e. 6-3 = 3 or 9-6 = 3
Given: the sequence 4.5,3,1.5,0
The difference = 3 - 4.5 = -1.5 or 1.5-3 = -1.5
Note: You can pick any two consecutive terms to get the difference
Therefore, the difference in the sequence is -1.5
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What percent is 199 is 761
Answers
Answer:
Step-by-step explanation:
Solutionx% of 199 is 761 is 382.41206…% Answer
Convert x% into a decimal and multiply by 199
In order to convert a percent to a ratio, divide it by 100:
a%=a100
a=x
x% =x100
Convert to decimal form=0.01x
Multiply 0.01x by 199
=0.01x· 199=1.99x
Solve 1.99x=761
1.99x=761
x=761/1.99
x=382.41206%
Anna Marie goes to dinner at a restaurant where the sale tax on meals is 9%. she leaves a tip that is 175% of the amount of sales tax. if her total bill is $45 what was the cost of her meal and what percent tip did she leave
Answers
Answer: $78.75
Step-by-step explanation:
You have to multiply the price by tax and add
A line is perpendicular to y = 6x +3
and intersects the point (6, 1).
Find the equation for this line.
y-1=-(x-[?])
Answers
Answer:
1
Step-by-step explanation:
Perpendicuar lines have slopes that are opposite reciprocals: 6 ==> -1/6
y=mx+b
y=-x/6 + b ==> plug in slope -1/6 into slope equation
1 = -6/6 + b ==> plug in x and y values into slope equation
1 = -1 + b
1 + 1 = -1 + 1 + b
b = 2 ==> solve for b
y = -x/6 + 2 ==> plug in the value of b into the equation
y - 1 = -x/6 + 2 - 1
y - 1 = -x/6 + 1
y - 1 = -(x/6-1) ==> answer: 1
NEED HELP ASAP
What is the value of y in the solution to this system of equations 6y+x= -59 x= -2y+9?
Answers
Answer:
y = - 17
Step-by-step explanation:
6y + x = - 59 → (1)
x = - 2y + 9 → (2)
substitute x = - 2y + 9 into (1)
6y - 2y + 9 = - 59
4y + 9 = - 59 ( subtract 9 from both sides )
4y = - 68 ( divide both sides by 4 )
y = - 17
Solve for r.
r/3 + 16 = 19
Answers
Answer:
r = 9
Step-by-step explanation:
Hello!
Solve for r by isolating the variable.
Solve for r[tex]\frac r3 + 16 = 19[/tex] Subtract 16 from both sides[tex]\frac r3 = 3[/tex] Multiply both sides by 3[tex]r = 9[/tex]The value of r is 9.
if q is 3x+ 6 and AC is 8x+8 what is the length of AC? Round your answer to the nearest hundredth
Answers
Answer:
AC = 24Step-by-step explanation:
AC is the diagonal of the parallelogram ADCB.
q is half of AC, therefore:
AC = 2qSubstitute values and solve for x:
8x + 8 = 2(3x + 6)8x + 8 = 6x + 128x - 6x = 12 - 82x = 4x = 2Find the length of AC:
AC = 8*2 + 8 = 16 + 8 = 24Describe the transformers of the parent function, f(x)=x, performed to create g(x).
g(x)= -3 • f(x) + 1
Answers
The function g(x) is a reflection over the x-axis and stretch by 3 units and shifted upward by 1 unit of the parent function f(x).
What is a function?A capability is a declaration, idea, or rule that lays out a relationship between two factors. Capabilities might be found all through science and are fundamental for the advancement of huge connections.
The functions are given below.
f(x) = x
g(x) = -3f(x) + 1
g(x) = -3x + 1
The parent function is a reflection over the x-axis and stretch by 3 units and shifted upward by 1 unit.
The functions g(x) and f(x) are shown below.
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What is the equation of the line in standard form?
A. x-2y=4
B. x+2y=4
C. 2x+y=2
D. 2r-y-2
Answers
Answer:
D. 2x -y = 2
Step-by-step explanation:
You want to know the standard-form equation of the line through points (-1, 4) and (2, 2) as shown on the graph.
Intercept formThe graph shows the x-intercept of the line is a=1, and the y-intercept of the line is b=-2. This means the intercept form of the equation is ...
x/a +y/b = 1
x/1 +y/(-2) = 1
Standard formMultiplying this equation by 2 gives ...
2x -y = 2 . . . . the standard form equation for the line
__
Additional comment
The standard form equation can also be developed from the coordinates of points on the line:
(y2 -y1)x -(x2 -x1)y = (y2 -y1)x1 -(x2 -x1)y1
(2 -(-4))x -(2 -(-1))y = (2 -(-4))(-1) -(2 -(-1))(-4)
6x -3y = -6 +12
Dividing by 3 gives the standard form equation ...
2x -y = 2
What must the value of x be in order to prove that
AEFG a AEHG by SSS?
Answers
The value of x will be= 90 degress.
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created.The vertex of an angle is the location where two points come together.The Latin word "angulus," which means "corner," is where the term "angle" originates.Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.Arms: The angle's two sides linked at a single end. The arms of an angle are OA and OB.Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.acc to our question-
triangle 1= traingle290=90. perpendicularwith the help of sas propertyboth angles are equal.hence,The value of x will be= 90 degress.
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Please help!
Find the amount of money( future value) in an account where 8,800 is deposited ( present value) at an interest rate 6.5% per year compounded continuously and the money is left in the account for 7 years.
The final amount is $ ?
Round your answer to 2 decimal places.
Answers
By using the formula for amount of money in a compound interest, it can be calculated that
Amount received after 7 years is $13675.08
What is a compound interest?
If the interest on a certain principal at a certain rate over a certain period of time increases exponentially rather than linearly, then the interest earned is called compound interest.
If p is the principal, r is the rate and n is the time in years, then
amount = [tex]p(1+\frac{r}{100})^n[/tex]
Difference between amount and principal gives the compound interest.
Principal = $8800
Rate = 6.5 %
Time = 7 years
Amount received = [tex]8800(1 + \frac{6.5}{100})^7[/tex]
$13675.08
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81 to the 5th power = 3x
x=?
Answers
The value of x according to the given equation as in the task content is; 3¹⁹.
What is the value of x according to the given expression?It follows from the task content that the value of x is to be determined from the equation given in the task content.
Therefore, since the equation given in the task content is;
(81)⁵ = 3x
(3⁴)⁵ = 3x
3²⁰ = 3x
Therefore, the value of x can be evaluated as;
x = 3²⁰/3
x = 3¹⁹.
Ultimately, the value of x from the given equation is; 3¹⁹.
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There are 40 students in class. 12 like pink best, 4 like yellow and the rest blue. What fraction of the class likes blue?
Answers
Answer: [tex]\frac{3}{5}[/tex]of the class like blue
Step-by-step explanation:
There are : 40 - 12 - 4 = 24 ( students like blue )
[tex]\frac{24}{40}[/tex]= [tex]\frac{3}{5}[/tex]
a nutrition label on a protein bar shows that the bar contains 7% of the daily recommended amount of carbohydrates. there are 20 grams of carbohydrates are recommended in the protein bar. how many grams of carbohydrates ar recommended per day? round your answer to the nearest whole. PLEASE HELP WITH N EXPLANATION
Answers
The daily amount in grams of the recommended carbohydrates is 2587.15 grams
How to solve for the amount of recommended carbohydrateThe amount of daily recommended carbohydrate is solved by dividing the quantity of carbohydrate in the protein bar by the percentage contained in the bar
The problem deals with percentage and 7% is written as
7%
= 7 percent
= 7 / 100
= 0.07
The factor 0.07 of the daily recommended amount of carbohydrates gives 20 grams of carbohydrate
let the daily recommended amount of carbohydrates be x
0.07 * x = 200
0.07x = 200
x = 200 / 0.07
x = 2587.15 grams
The daily recommended amount of carbohydrates is 2587.15 gram
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A ramp goes from a doorway of a building to the ground. The end of the ramp connected to the doorway is 1 foot above the ground. The distance along the ramp to the building is 5 feet. What is the angle of elevation of the ramp to the nearest degree?
A. 11°
B. 0°
C. 12°
D. 1°
Answers
Using the trigonometry ratio, he angle of elevation of the ramp to the nearest degree is 11°.
In the given question,
A ramp goes from a doorway of a building to the ground.
The end of the ramp connected to the doorway is 1 foot above the ground.
The distance along the ramp to the building is 5 feet.
We have to find the angle of elevation of the ramp to the nearest degree.
The distance is 5 feet.
The height is 1 foot.
To find the angle of elevation we used the trigonometry ratio.
According the trigonometry ratio, we know that tangent is the ratio between height and distance.
We can write it as
tan A=height/distance
Now putting the value
tan A=1/5
tan A=0.2
So A = arctan(0.2)
A = 11.30°
A ≈ 11°
Hence, the angle of elevation of the ramp to the nearest degree is 11°.
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The volume of cube depends on the length of its sides. This can be written in function notation as v(s). What is the best interpretation of v(2)=8
Answers
The best interpretation of the function v(2) = 8 is that the volume of a cube with side length of 2 units is 8 cubic units
What are function notations?Function notations are the representation of a function using expressions such as g(x), f(x), etc
How to determine the best interpretation of the function notation?From the question, we have the following function notation that can be used in our computation:
v(2) = 8
From the question, we have the following representation
v(s)
This means that the volume of a cube of side length s is v(s)
When the above function is compared to v(2) = 8, we have the following comparison
s = 2 and v(s) = 8
This means that a cube of side length 2 has a volume of 8
The above represents the best interpretation of v(2) = 8
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