Answers
The graphs of the equations can be obtained by finding the intercepts, and drawing a line through the intercepts.
1. Please find attached the graph of 2•x - y - 6 = 0
2. Please find attached the graph of 4•x + 2•y + 8 = 0
How can a graph be drawn using the intercepts?The graph of the linear equations using the x and y intercepts are found as follows;
1. 2•x - y - 6 = 0
Therefore;
2•x - y - 6 = 0
y = 2•x - 6
The y-intercept is given by the point where x = 0
The y-intercept is therefore;
y = 2×0 - 6 = -6
The y-intercept is y = -6The x-intercept is given by the point where y = 0
Therefore;
0 = 2•x - 6
x = 6/2 = 3
The x-intercept is at x = 3Please find attached the graph of 2•x - y - 6 = 0, created using the x and y-intercept.
2. 4•x + 2•y + 8 = 0
Therefore;
4•x + 2•y + 8 = 0
y = -(4•x + 8)/2 = -2•x - 4
y = -2•x - 4
The y-intercept is therefore;
y = -2×0 - 4 = -4
The y-intercept is y = -4
The x-intercept is therefore;
0 = -2•x - 4
x = -4/2 = -2
The x-intercept is at x = -2
Please find attached the graph of 4•x + 2•y + 8 = 0, created using the x and y-intercept.
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Related Questions
Write the measurement with the indicated number of significant digits.
982. 1m^2
Answers
Using scientific notation, it is found that:
The number is written as follows: [tex]9.821 \times 10^2[/tex] m².The number has 4 significant digits, which are 9, 8, 2 and 1.What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
For this problem, the number is given by:
982.1 m².
In scientific notation, the base has to be a number between 1 and 10(open interval at 10), hence the base has to be divided by 100.
To compensate for the division by 100, the number has to be multiplied by 100 somewhere, which happens when we add 2 to the exponent, as 10² = 100.
Hence:
The number is written as follows: [tex]9.821 \times 10^2[/tex] m².
The significant digits are all the digits that are not zero, and the zeros at the beginning or between other numbers, hence they are:
9, 8, 2 and 1.
Meaning that the number has 4 significant digits.
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3/8 x 11 =
3/4 x 2 =
Answers
3/8 * 11 = 4.125
3/4 * 2 = 1.5
4.125 = 33/8 = 4 1/8
1.5 = 3/2 = 1 1/2
Answer:
Hope this helps :)
3/8 x 11 = 33/8 = 4 1/8 (simplified and converted into mixed number)
3/4 x 2 = 6/4 = 1 2/4 = 1 1/2 (simplified and converted into mixed number)
) find the original price of a pair of boots of the sale price is $120 after a 20% discount
Answers
Answer:
$150
Step-by-step explanation:
The sale price is $120. We're looking for 80% of the original price, given this sale price.
[tex]120 = .8p[/tex]
[tex]p = 150[/tex]
Stanley bought 16 bags of white rice and 7 bags of brown rice. each bag of rice weighed 13 kilograms. he also bought 17 bags of potatoes. how many kilograms of rice did stanley buy in all?
Answers
Stanley bought total 299 kilograms of rice.
To find the amount of rice in kilograms, bought by Stanley, we will perform multiplication and addition.
Weight of 1 bag = 13 kilograms
Weight of white rice = 16 × 13
Performing multiplication to calculate the weight
Weight of white rice = 208 kilograms
Weight of brown rice = 7 × 13
Performing multiplication to calculate the weight
Weight of white rice = 91 kilograms
Total amount of rice bought by Stanley = 208 + 91
Performing addition to calculate the weight
Total amount of rice bought by Stanley = 299 kilograms
Hence, Stanley bought total 299 kilograms of rice.
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We wish to test the hypothesis that the mean weight of a population of fish is 140g. With sigma=15 g and alpha= 0.05, and a sample of 36 fish, find a) the mean values which would lead to a rejection of the hypothesis and Use a two-tailed test.
Answers
Using the z-distribution, it is found that mean weights less than 135.1g and more than 144.9 would lead to a rejection of the hypothesis.
What is the critical value of the test?We have a two-tailed test, with a significance value of α = 0.05, hence, using a z-distribution calculator, the critical value is given by:
|z| = 1.96 -> z < -1.96 or z > 1.96.
What is the test statistic?The test statistic is given as follows:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which:
X is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.For this problem, the parameters are given as follows:
[tex]\mu = 140, \sigma = 15, n = 36[/tex]
The lower bound of acception is found as X when z = -1.96, hence:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
-1.96 = (X - 140)/(15/6)
-1.96 = (X - 140)/(2.5)
X - 140 = -1.96 x 2.5
X = 135.1.
The upper bound of acception is found as X when z = 1.96, hence:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
1.96 = (X - 140)/(15/6)
1.96 = (X - 140)/(2.5)
X - 140 = 1.96 x 2.5
X = 144.9.
Hence:
Mean weights less than 135.1g and more than 144.9 would lead to a rejection of the hypothesis.
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Question 6 of 10
Maureen has 5 rolls of pennies containing 50 coins each, 3 rolls of nickels
containing 40 coins each, 6 rolls of dimes containing 50 coins each, and 4
rolls of quarters containing 40 coins each. How much money does she have?
C A. $78.50
B. $83.50
C. $17.50
D. $8.30
Answers
Answer:
A $78.50
Step-by-step explanation:
Pennies $2.50
nickels $6.00
dimes $30.00
quarters $40.00
simply 7y2 - 5y + 9y - 5y2
Answers
Answer:
2y^2+4y
Step-by-step explanation:
7y^2-5y+9y-5y^2
=7y^2+4y-5y^2
=7y^2-5y^2+4y
=2y^2+4y
someone help me for max points and brainliest
Answers
Well, the directions are laid out for you...
If F = 0.3444…, then 10F = 3.444.... Subtracting F from this gives
10F - F = 3.444… - 0.3444…
9F = 3.1
Solve for F.
F = 3.1/9 = (31/10)/9 = 31/90
so you would enter 90.
Solve the following system of equations.
5 a-b=17
3 a+2 b=5
Answers
Answer:
a = 3 , b = - 2
Step-by-step explanation:
5a + b = 17 → (1)
3a + 2b = 5 → (2)
multiplying (1) by 2 and adding to (2) will eliminate b
10a + 2b = 34 → (3)
add (2) and (3) term by term to eliminate b
13a + 0 = 39
13a = 39 ( divide both sides by 13 )
a = 3
substitute a = 3 into either of the 2 equations and solve for b
substituting into (1)
5(3) + b = 17
15 - b = 17 ( subtract 15 from both sides )
- b = 2 ( multiply both sides by - 1 )
b = - 2
then solution is a = 3 , b = - 2
pls help
Aaden took a taxi from his house to the airport. The taxi company charged a pick-up fee of $3.10 plus $2.75 per mile. The total fare was $27.85, not including the tip. Write and solve an equation which can be used to determine x, the number of miles in the taxi ride.
Answers
The equation can be written as 2.75x + 3.10 = 27.85
The number of miles in the taxi ride is 9
How to calculate the number of miles in the taxi ride ?The taxi company was charged a pick-up fee of $3.10
It also charges $2.75 per mile
The total fare is $27.85
The equation can be written as
2.75x + 3.10 = 27.85
Collect the like terms to get the value of x
2.75x= 27.85 - 3.10
2.75x = 24.75
divide both sides by the coefficient of x which is 2.75
2.75x/2.75= 24.75/2.75
x= 9
Hence the number of miles in the taxi ride is 9
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Answer:
x=9
Step-by-step explanation:
i did it
The bottles of soda are sold to the student council in a box weighing 24 pounds. if there are 60 bottles in the box, How much does each bottle of soda weigh
Answers
Answer:
2.5 60÷24=2.5 so there is ur answer hope it helps
Help me please! :)
And please explain how you got it
Answers
Answer:
-1.96312.. is a real, irrational number while √(-5) is imaginary. There is no value for a root of a negative number
Step-by-step explanation:
You should understand that numbers are naturally classified as real and imaginary. Under the real numbers, they are additionally classified into rational and irrational numbers. Under rational numbers, these possess fractions and integers. Irrational numbers are in decimal forms that cannot be converted to fractions. Thus, the difference between the two is that: -1.96312.. is a real, irrational number while √(-5) is imaginary. There is no value for a root of a negative number.
NEED HELP ASAP ALSO READ PART A AND PART B
Answers
she made an error in the third step. The correct answer is - 9.7b + 25
How to add linear expression?(-4.23b + 13) - (5.47b - 12)
Therefore, let's open the bracket on the right side.
-4.23b + 13 - 5.47b + 12
Hence, let's combine the like terms
-4.23b + 13 - 5.47b + 12
-4.23b - 5.47b + 12 + 13
Do the arithmetic of the like terms
-4.23b - 5.47b + 12 + 13
- 9.7b + 25
Therefore, she made an error in the third step.
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I'd like the ratio of cupcakes to my guests to be 3 to 2 and there will be 8 guests
Answers
Answer: 12 cupcakes
Step-by-step explanation:
the composer beethoven wrote 9 symphonies, 5 piano concertos (music for piano and orchestra), and 32 piano sonatas (music for solo piano). (a) how many ways are there to play first a beethoven piano concerto and then a beethoven symphony?
Answers
Using Permutations, we can calculate, there will be total of 45 ways to play first a beethoven piano concerto and then a beethoven symphony.
What is permutation?When the order of the arrangements counts, a permutation is a mathematical approach that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.
Given,
symphonies = 9
piano concertos = 5
So, the ways to play first a beethoven piano concerto and then a beethoven symphony = ⁹P₁ × ⁵P₁
= 45ways
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What is the ordinal number word for the following number?
47
O four sevens
O forty-seven
O forty-seventh
Answers
Answer:
forty-seven :)
Step-by-step explanation:
4 tens
7 ones :)
Have an amazing day!!
Please rate and mark brainliest!!
A = b x h, donde la b = (20 - 2x) y h = (16 +10x)
•Si x = 3 metros, ¿cuál es el área del terreno?
P = 2 (b + h), donde la
b = (20 - 2x) y h = (16 +10x)
•Si x = 2 metros, ¿cuál es el perímetro del terreno?
Answers
El área del terreno es igual a 406 metros cuadrados.
El perímetro del terreno es igual a 104 metros.
¿Cuál es el área y el perímetro de un terreno?
En esta pregunta tenemos conocimiento de las ecuaciones asociadas a las longitudes de la base y la altura del terreno, cuya forma es rectangular. Inicialmente, determinamos el área del terreno:
A = b · h
A = (20 - 2 · x) · (16 + 10 · x)
A = (20 - 2 · 3) · (16 + 10 · 3)
A = (20 - 6) · (16 + 13)
A = 14 · 29
A = 406 m²
El área del terreno es igual a 406 metros cuadrados.
Ahora, determinamos el perímetro del terreno:
p = 2 · (b + h)
p = 2 · [(20 - 2 · x) + (16 + 10 · x)]
p = 2 · (8 · x + 36)
p = 16 · x + 72
p = 16 · 2 + 72
p = 32 + 72
p = 104 m
El perímetro del terreno es igual a 104 metros.
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Algebra question help plsssss
Answers
Answer: x<=-6 or x>=4 ==> option 2
Step-by-step explanation:
|x+1|-2>=3
|x+1|>=5
x+1>=5
x>=4
x+1<=-5
x<=-6
x<=-6 or x>=4 ==> option 2
Answer:
See below
Step-by-step explanation:
|x+1| -2 ≥ 3 start by adding 2 to both sides
|x+1| ≥ 5 now ....
x+1 >= 5 x+1 <= -5
x >= 4 x <= -6
combined -6 >= x >= 4
Please help asap!!!!
Answers
Answer: I believe that the answer is -3x=4y
Step-by-step explanation: I hope this helps and I am sorry if I am wrong.
harold, tanya, and ulysses paint a very long picket fence. harold starts with the first picket and paints every h th picket; tanya starts with the second picket and paints every t th picket, and ulysses starts with the third picket and paints every u th picket. call the positive integer 100h 10
Answers
The possible triples are: (3, 3, 3), (4, 2, 4) as seen by counting theorem.
What is counting theorem?The basic counting principle is a method for keeping track of all the potential outcomes in a situation. According to this statement, there are n m n times m n methods to carry out both of these acts if there are n ways to execute one activity and m ways to perform another action after that.Now, by the counting principle,
Give the pickets numbers like 1, 2, and so on. If Picket 4 is painted, Ulysses must also paint the remaining Pickets. Let's say Harold paints picket number 4. If Harold and Ulysses both paint picket 7, Ulysses is unable to paint picket 5, so Tanya does. The picket is painted by Ulysses, and (h, t, u) = (3, 3, 3). However, let's say Tanya paints picket 4. Harold paints picket 5 since Ulysses is unable to do so or then there won't be anything left to paint. Ulysses paints picket 7 as a result, and (h, t, u) = (4, 2, 4).Hence, the possible triples are: (3, 3, 3), (4, 2, 4).
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ZA and ZB are vertical angles. If mA = (5x + 1)° and m/B = (4x + 3)°,
then find the value of x.
Answers
Answer:
x=2
Step-by-step explanation:
Vertical angles are equal.
5x+1=4x+3
-1 -1
5x=4x+2
-4x -4x
1x=2
x=2
The value of x is 2.
5(2)=4(2)+2
10=8+2
10=10
Hope this helps.
A package of 10 cans of soup costs $14. an individual can costs $2. you need at least 25 cans. find the price of each combination of items. 25 individual cans: $ 50 1 package of 10 cans and 15 individual cans: $ 44 2 packages of 10 cans and 5 individual cans: $ 38 3 packages of 10 cans: $ 42 you decide to buy 3 packages of 10 cans. how much do you pay for each can? $ 1.5
Answers
If I want to buy 3 packages of 10 cans it will cost me around $1.4 per can.
It is given that the price of a package of 10 cans of soup = $14
and the price of an individual can = $2
Now, if I want to purchase at least 25 individual cans there can be two possible ways to do this:
I Purchase 2 packages of the can and then purchase the rest individual cans. Thus, if I have to purchase 25 cans it will cost around: 14 × 2 + 5 × 2 = $38.I Purchase 3 packages of cans. It will cost me around: 3 × 14 = $42. Also, it will give me extra 5 cans.Therefore, if I decided to buy 3 packages of 10 cans it will cost me $42 and I will pay $1.4 for each can.
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Find the amount of money accumulated after investing a principle P for years t at interest rate r, compounded continuously. P = $10,000 r = 11% r = 11% t = 20 Round your answer to the nearest cent (hundredth). Enter
Answers
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$10000\\ r=rate\to 11\%\to \frac{11}{100}\dotfill &0.11\\ t=years\dotfill &20 \end{cases} \\\\\\ A=10000e^{0.11\cdot 20} \implies A=10000e^{2.2}\implies A \approx 90250.14[/tex]
I need this answered in the next 10 minutes
Answers
Answer:
download mo po gauth math tas scan mo po yan
Step-by-step explanation:
Check that q=514 for the equation q - 345 = 169
Answers
Answer:
169+345=514
514-169+345
Step-by-step explanation:
Answer:
514 - 345 = 169169 = 169
Step-by-step explanation:
Check that q=514 for the equation q - 345 = 169
q - 345 = 169
q = 169 + 345
q = 514
------------------
check
514 - 345 = 169
169 = 169
the answer is good
Find the coordinates of the midpoint of a segment with the given endpoints.
V(-2,5), Z(3,-17)
Answers
The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).
What is the midpoint of the segment with the given endpoint?The midpoint formular used in finding the midpoint of a segment is expressed as;
( [x₁+x₂]/2 , [y₁+y₂]/2 )
Given the data in the question;
Point V(-2,5)
x₁ = -2y₁ = 5Point Z(3,-17)
x₂ = 3y₂ = -17Plug these values into the equation above.
( [x₁+x₂]/2 , [y₁+y₂]/2 )
( [(-2) + 3]/2 , [5 + (-17)]/2 )
( 1/2 , -12/2 )
( 1/2, -6 )
The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).
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At sunset a thermometer had a reading of 4'f during the night the temperature decreased 15'f after the decrease what is the total number of degrees that the temperature must change for the thermometer must read 0'f
Answers
If at sunset a thermometer had a reading of 4°F and during the night the temperature decreased by 15°F, then after the decrease the total number of degrees that the temperature must change for the thermometer to read 0°F is equal to 11°F.
The total number of degrees that the temperature must change for the thermometer to read 0°F can be determined by using subtraction.
Subtraction can be defined as an act of calculating the difference between numbers or values.
As the temperature decreased by 15°F during the night, the temperature after the decrease can be calculated as follows,
4°F - 15°F = -11°F
The total number of degrees the temperature must change for the thermometer to read 0°F can be calculated as follows,
-11°F + x = 0
x = 11°F
Hence, the temperature must increase by 11°F for the thermometer to read 0°F.
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Answer: 11’F
Step-by-step explanation:
4’F-15’F=-11
-11+11’F=0’F
9x + 22x + 25 =180 what does x =
Answers
Answer:
what does x = 5
45 + 110 + 25 = 180
Step-by-step explanation:
To get x we multiply which same number is multiplied by both numbers and give the answer for 9x + 22x + 25 = 180
in 9's table we have 9×5=45
in 22's table we have 22×5=110
Now we can check 45 + 110 + 25 = 180
Hence we can conclude that x = 5
Hope it helps!!!
:)
Brainliest pls
Answer:
x = 5
Step-by-step explanation:
Given equation
→ 9x + 22x + 25 = 180
Now the value of x will be,
→ 9x + 22x + 25 = 180
→ 31x = 180 - 25
→ x = 155/31
→ [ x = 5 ]
Hence, the value of x is 5.
MODELING REAL LIFE The average distance from Earth to the Sun is 92.95 million miles. The actual
distance varies from the average by up to 1.55 million miles. Write and solve an absolute value equation
to find the minimum and maximum distance from Earth to the Sun
Answers
The minimum and maximum distance from Earth to the Sun will be 90.7 million miles and 93.80 million miles.
How to calculate the value?From the information, The average distance from Earth to the Sun is 92.95 million miles. The actual
distance varies from the average by up to 1.55 million miles.
The minimum value will be:
= 92.25 - 1.55
= 90.7 million miles.
The maximum distance will be:
= 92.25 + 1.55
= 93.80 million miles.
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The diameter of the base of a water bottle is 3 1/2 inches. What is the length on inches of the diameter of 6 of these water bottles?
Answers
Answer:
21
Step-by-step explanation:
3.5 x 6 = ?