Answers
Answer:
Hey there!
The first equation has no solutions, as it is parallel lines.
The second equation has infinitely many solutions, as it is basically the same line, and the two lines intersect at infinite points.
The third equation is just one solution.
Let me know if this helps :)
Answer:
1 - No solution
2 - Infinitely many solutions
3 - One solution
Step-by-step explanation:
Hey there!
Well to find if there is no solution, one solution, or infinitely many we need to look at the slope and y intercept.
1) - No solution
This is no solution because both slopes are the same meaning they are parallel meaning they have no solution.
2) - Infinitely many solutions
We need to convert into slope-intercept.
y = -x + 4
y = -x + 4
Since both slopes and y-intercepts are the same they overlap meaning they have infinite solutions.
3) - One solution
Slope-intercept,
y = -3x + 11
y = -1/3x + 1/3
Because both slopes are y-intercepts are different they have only one solution.
Hope this helps :)
Related Questions
A to the power of 6 = a to he power 2
Answers
Answer:
a = 0, i, -i, 1, -1
Step-by-step explanation:
What we're basically looking for here is a number, that when multiplied by itself any amount of times, will get us with the same number.
We know that 0 times and number will be 0, so 0 works.
1 times any number will be 1, and -1 would also work as -1² = 1.
i would also work as it represents the square root of a negative, and -i would also work.
Hope this helped!
I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least 600 pounds more than each of her trucks, but no more than 1/3 of the total load her four trucks combined can carry. Based on these facts, what is the greatest load I can be sure that my large truck can carry, in pounds?
Answers
Answer:
The load the large truck can carry is 2400 pounds
Step-by-step explanation:
Let the load the large truck can carry = X
Let the load each of the four trucks owned by the neighbor can carry = Y
The given parameters are;
The load the large truck can carry X = 600 + Y......(1)
The number trucks owned by the neighbor = 4
The load the large truck can carry X ≤ 1/3 × 4 × Y
Therefore, X ≤ 4/3 × Y
At maximum capacity, we have;
X = 4/3 × Y
Substituting the value of X into equation (1), we have;
4/3 × Y = 600 + Y
600 = 4/3 × Y - Y = 1/3·Y
Y = 3 × 300 = 1800 pounds
Y = = 1800 pounds
Therefore, the load the neighbors truck can carry = 1800 pounds
X = 600 + Y gives;
X = 600 + 1800 = 2400 pounds
∴ The load the large truck can carry = 2400 pounds
42. How many solutions does this system of
equations have?
3x + 4y= 7
-3x – 4y = 7
A) 0
B) 1
C) 2
D) Infinite
Answers
Answer:
[tex]\Large \boxed{\mathrm{A) \ 0 }}[/tex]
Step-by-step explanation:
3x + 4y = 7
-3x - 4y = 7
Add both equations.
0x + 0y = 14
0 = 14
There are no solutions.
Answer:
A) 0
Step-by-step explanation:
Adding both equations.
0 + 0 = 14
0 = 14 (no solutions)
HELPPPPPOPP ASAPPPPPPPPP PLEASSSEEEEEEE
Answers
Answer:
-11 - 5z = 6(5z + 4)
-11 - 5z = 30z + 24
-35 = 35z
z = -1
0 = -5y - 2y
5y = -2y
5 = -2
no solutions
Pls Answer A and B. You don’t need to explain. Thank you!!
Answers
a). Amount of money in Kareem’s acc:
650 - 40x
Amount of money in Karen’s acc:
850 - 65x
b). 650 - 40(8) = 850 - 65(8)
Coherence
5. Simon's teacher asked him to e-mail her a copy of the outline for his essay on American
History: When drafting the e-mail, what level of diction should Simon use?
informal
formal
standard
foundational
Answers
Answer:
The correct option is;
Formal
Step-by-step explanation:
The common levels of diction are formal, informal, and popular, with formal diction being the most selective of the word choices
Formal diction is used when when communicating in a situation that is formal
Formal diction uses languages that is devoid of slang and grammatically correct
Formal language is precise, grammatically correct language that does not use slang used in communication for legal, professional, business and academic purposes.
You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you decide to swim 151515 minutes longer than she does one day at practice. Write an equation for the number of minutes you swim, yyy, when your friend swims xxx number of minutes.
Answers
Answer:
y = x + 15
Step-by-step explanation:
My friend swims x minutes.
I swim 15 minutes more than my friends, so I swim x + 15 minutes.
I swim y minutes, so y equals x + 15
Answer: y = x + 15
The number of boxes of cookies you buy or the amount the cookies will cost in dollars which one is independent vairable
Answers
Answer:
Step-by-step explanation:
When you go shopping for anything, you know that the more of that something you buy, the more money you are going to spend. In other words, the amount of money you spend depends directly upon the amount of stuff you buy. So the number of boxes of cookies you buy is the independent variable and the amount of money you spend on the cookies is the dependent variable.
If f(x) is a linear function, f(3)=1 and f(2)=5, what is the y-intercept? A) -4 B) 1 C) 3 D) 11 E) 13
Answers
Step-by-step explanation:
let the function be $y=mx+c$ since it is linear.
1=3m+c
and
5=2m+c
solve c to get the y intercept
plz help me with this problem
p^2 - 36
Answers
Answer:
[tex]\large \boxed{ (p+6)(p-6) }[/tex]
Step-by-step explanation:
[tex]p^2 - 36[/tex]
Rewrite 36 as 6 squared.
[tex]p^2 - 6^2[/tex]
Apply difference of two squares formula:
[tex]a^2-b^2 =(a+b)(a-b)[/tex]
[tex]a=p\\b=6[/tex]
[tex]p^2 - 6^2=(p+6)(p-6)[/tex]
Answer:
since is its a possibility of 7 or 11 we add the individual probabilities
so the answer is 1/6+ 1/18=3/18+1/18=4/18=2/9
2/9.
I hope now you'll understand
Work out the circumference of a circle with diameter 1.8 cm.
Take a to be 3.142 and give your answer to 1 decimal place.
Answers
Answer:
The answer is
5.6 cmStep-by-step explanation:
Circumference of a circle( C) = πd
where d is the diameter
π = 3.142
From the question
d = 1.8cm
Substitute d = 1.8 into the above formula
Circumference of the circle is
3.142 × 1.8
= 5.6556
We have the final answer as
C = 5.6 cm to one decimal placeHope this helps you
FOLLOW THE STEP: reduce to simplest form
-7/12 + 3/8 = ______
Answers
Answer:
-5/24
Step-by-step explanation:
get a common denominator = 24
-14/24 + 9/24 = -5/24
Answer:-5 /24 ez
Step-by-step explanation:
Shawna, Dexter, and Tilana are solving the equation Negative 2.5 (5 minus n) + 2 = 15. Shawna says, "I can begin by dividing each side of the equation by –2.5 to get 5 minus n minus StartFraction 2 over 2.5 EndFraction = Negative StartFraction 15 over 2.5 EndFraction." Dexter says, "I can begin by distributing Negative 2.5 to get Negative 12.5 + 2.5 n + 2 = 15." Tilana says, "I can begin by multiplying each side of the equation by Negative StartFraction 1 over 2.5 EndFraction to get 5 minus n minus 0.8 = negative 6." Which students are correct? only Shawna and Tilana only Shawna and Dexter only Dexter and Tilana Shawna, Dexter, and Tilana
Answers
Answer:
All three students are correct
Step-by-step explanation:
Given
Equation: -2.5(5 - n) + 2 = 15
Required
Which students are correct
To determine which of the students are correct; we have to test each of their solutions
SHAWNA
Statement: Dividing each side of the equation by –2.5 to get 5 - n - 2/2.5 = -15/2.5
[tex]\frac{-2.5(5 - n) + 2}{-2.5} = \frac{15}{-2.5}[/tex]
Split fractions
[tex]\frac{-2.5(5 - n)}{-2.5} + \frac{2}{-2.5} = \frac{15}{-2.5}[/tex]
Simplify each fraction
[tex]5-n - \frac{2}{2.5} = \frac{-15}{2.5}[/tex]
Shawna is correct...
DEXTER
Statement: Distributing -2.5 to get -12.5 + 2.5 n + 2 = 15.
[tex]-2.5(5 - n) + 2 = 15[/tex]
Open brackets
[tex]-12.5 + 2.5n + 2 = 15[/tex]
Dexter is also correct...
TILANA
[tex]\frac{-1}{2.5}(-2.5(5 - n) + 2) = \frac{-1}{2.5} * 15[/tex]
Open brackets
[tex]\frac{-1}{2.5}(-2.5(5 - n)) + \frac{-1}{2.5}(2) = \frac{-1}{2.5} * 15[/tex]
Simplify each bracket
[tex](5 - n) + \frac{-2}{2.5} = \frac{-15}{2.5}[/tex]
[tex](5 - n) - \frac{2}{2.5} = \frac{-15}{2.5}[/tex]
[tex]5 - n - 0.8 = -6[/tex]
Tilana is also correct
Hence, all three students are correct
Answer:
All of them are correct
Step-by-step explanation:
AYUDA CON ESTO!!! ALGUIEN PORFAVOR
Answers
Answer:
Problem 1) frequency: 160 heartbeats per minute, period= 0.00625 minutes (or 0.375 seconds)
Problem 2) Runner B has the smallest period
Problem 3) The sound propagates faster via a solid than via air, then the sound of the train will arrive faster via the rails.
Step-by-step explanation:
The frequency of the football player is 160 heartbeats per minute.
The period is (using the equation you showed above):
[tex]Period = \frac{1}{frequency} = \frac{1}{160} \,minutes= 0.00625\,\,minutes = 0.375\,\,seconds[/tex]
second problem:
Runner A does 200 loops in 60 minutes so his frequency is:
[tex]\frac{200}{60} = \frac{10}{3} \approx 3.33[/tex] loops per minute
then the period is: 0.3 minutes (does one loop in 0.3 minutes)
the other runner does 200 loops in 65 minutes, so his frequency is:
[tex]\frac{200}{65} = \frac{40}{13} \approx 3.08[/tex] loops per minute
then the period is:
[tex]\frac{13}{40} =0.325\,\,\,minutes[/tex]
Therefore runner B has the smaller period
Jameel drew circle A and found that the measure of the is 58°. He knows that he can use this measure to determine the measure of many of the other angles shown in the circle. Enter the measure of ∠ADB.
Answers
The measure of many of the other angles shown in the circle is: measure of ∠ADB=29°.
Measure of angle ADBGiven:
∠CAD=58°
Hence:
∠BAD=180°-58°
∠BAD=122°
Since ∠ABD is isosceles, thus:
∠ADB-∠ABD
180°-122°=58°
2∠ADB=58°/2
∠ADB=29°
Therefore the measure of many of the other angles shown in the circle is: measure of ∠ADB=29°.
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which of the following is true regarding number sets? a. all integers are whole numbers b. all irrational numbers are real numbers c. all real numbers are integers d. all rational numbers are natural numbers
Answers
Answer:the answer is A
Step-by-step explanation:
The step is
Real number - rational(irrational)_ - integer - whole - then natural
The true statement regarding number sets are b. all irrational numbers are real numbers.
What are irrational numbers ?Irrational numbers are those numbers which have a non-repeating, non-terminating pattern after decimal place.
According to the given statements we have to determine which is true.
a. all integers are not whole numbers as 0 contains in the set of whole numbers but not in the set of integers.
b. all irrational numbers are real numbers this is a true statement because all the real numbers consist of rational and irrational numbers.
We don't need to check other options because we have been asked which of the following is true not which of the following is/are true.
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The functions q and r are defined as follows
g(x) = -2x-2
r(x) = x² – 2
Find the value of r(q(4)).
r(9 (4)) =
Answers
Answer:
98
Step-by-step explanation:
So we have the two functions:
[tex]g(x)=-2x-2\text{ and } r(x)=x^2-2[/tex]
And we want to find the value of r(g(4)).
To do so, first find the value of g(4):
[tex]g(x)=-2x-2\\g(4)=-2(4)-2\\[/tex]
Multiply:
[tex]g(4)=(-8)-2[/tex]
Subtract:
[tex]g(4)=-10[/tex]
Now, substitute this into r(g(4)):
[tex]r(g(4))\\=r(-10)[/tex]
And substitute this value into r(x):
[tex]r(-10)=(-10)^2-2[/tex]
Square:
[tex]r(-10)=100-2[/tex]
Subtract:
[tex]r(-10)=98[/tex]
Therefore:
[tex]r(-10)=r(g(4))=98[/tex]
Answer:
Step-by-step explanation:
Using the conversion 1 mile equals 1.6093 km to convert 4.9 kilometers to miles, round o the nearest tenth of a mile
Answers
Answer:
3.0 miles
Step-by-step explanation:
Using the conversion 1 mile equals 1.6093 km to convert 4.9 kilometers to miles, round to the nearest tenth of a mile.
1 mile = 1.6093 km
Convert 4.9km to mile
We can use cross multiplication :
Let the number of miles = m
1 mile = 1.6093 km
'm' miles = 4.9 km
Cross multiply :
m × 1.6093 = 4.9 × 1
m = 4.9 / 1.6093
m = 3.0448020 miles
Rounding 3.0448020 to the nearest tenth :
3.0 miles
Maddy is carrying a 555 liter jug of sports drink that weighs 7.5\text{ kg}7.5 kg7, point, 5, start text, space, k, g, end text. She wants to know how many kilograms a 222 liter jug of sports drink would weigh (w)left parenthesis, w, right parenthesis. She assumes the relationship between volume and weight is proportional. What is the weight of the 2 liter jug?
Answers
Answer:
w/2 = 7.5/5
3kg
Step-by-step explanation:
Remaining question below:
Which proportion could Maddy use to model this situation?
a. w/2 = 7.5/5
b. w/7.5 = 5/2
Solve the proportion to determine the weight of a 2 liter jug.
_____kg
5 liters jug of sport drink weighs 7.5kg
2 liters jug of sport drink will weigh x kg
Find w
Ratio of weight to volume
7.5kg : 5liters=7.5/5
wkg : 2 liters=w/2
Equates the ratio
7.5 / 5 = w / 2
Cross product
7.5*2=5*w
15=5w
Divide both sides by 5
3=w
w=3kg
Therefore, weight of the 2liters jug of sport drink is 3kg
Answer:
The answer is 3kg!
Step-by-step explanation:
If =x/y=5/8
then x/5=
Answers
[tex]\dfrac{x}{y}=\dfrac{5}{8}\Big|\cdot\dfrac{y}{5}\\\\\dfrac{x}{5}=\dfrac{y}{8}[/tex]
Answer:
x/5 = y/8
Step-by-step explanation:
x 5
----- = -------
y 8
Using cross products
8x = 5y
Divide each side by 8
x = 5/8 y
Divide each side by 5
x/5 = y/8
Expansion of (x + 3y)(x - y) gives
Answers
Answer:
x^2 +2xy +3y^2
Step-by-step explanation:
(x + 3y)(x - y)
Foil
first x*x = x^2
outer x*-y = -xy
inner 3y^x = 3xy
last 3y*y = 3y^2
Add them together
x^2 -xy +3xy +3y^2
Combine like terms
x^2 +2xy +3y^2
= x (x-y) + 3y (x-y)
= x^2 -xy + 3xy -3y^2
Hope you’ll understand
Please answer this question now
Answers
Answer:
414.48 cm²
Step-by-step explanation:
The following data were obtained from the question:
Pi (π) = 3.14
Slant height (l) = 16 cm
Diameter (d) = 12 cm
Surface Area (SA) =....?
Next, we shall determine the radius.
This can be obtained as follow:
Diameter (d) = 12 cm
Radius (r) =..?
Radius (r) = diameter (d) /2
r = d/2
r = 12/2
r = 6 cm
Finally, we shall determine the surface area of the cone as follow:
Pi (π) = 3.14
Slant height (l) = 16 cm
Radius (r) = 6 cm
Surface Area (SA) =....?
SA = πr² + πrl
SA = (3.14 × 6²) + (3.14 × 6 × 16)
SA = (3.14 × 36) + 301.44
SA = 113.04 + 301.44
SA = 414.48 cm²
Therefore, the surface area of the cone is 414.48 cm²
When Mr. Gree bought a used car he made a
down payment of $825. This was 30% of the
total cost. The total cost was:
PLEASE HELP! QUICKLY PLEASE!
Answers
Answer:
2750
Step-by-step explanation:
825/30=27.5
27.5X100=2750
The total cost of the car will be $2,750.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.
The percentage is given as,
Percentage (P) = [Initial value - Final value] / Initial value x 100
When Mr. Gree bought a used car he made a down payment of $825.
This was 30% of the total cost.
Let x be the total cost of the car.
Then the total cost of the car will be
30% of x = $825
0.30x = $825
x = $2,750
Then the total cost of the car will be $2,750.
More about the percentage link is given below.
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3x - y = 0
2x - y = 1
Answers
Explanation:
Solve this system of equation using elimination method:
3x - y = 0
2x - y = 1
________
3x - y = 0
-1(2x - y = 1)
_________
3x - y = 0
-2x + y = -1
_________
X = -1
We know that x = -1 now let’s plug it in the one of the equation to find y:
2x - y = 1
2(-1) - y = 1
-2 - y = 1
-y = 3
y = -3
I'm stuck, please help
Answers
Step-by-step explanation:
A).[tex] \frac{2}{ \sqrt{x} } [/tex]Using the rules of indices
[tex] \sqrt{x} = {x}^{ \frac{1}{2} } [/tex]So we have
[tex] \frac{2}{ {x}^{ \frac{1}{2} } } [/tex]And also by the rules of indices
[tex] \frac{1}{ {a}^{b} } = {a}^{ - b} [/tex]Applying the rules to the above expression we have the final answer as
[tex]2 {x}^{ - \frac{1}{2} } [/tex]B).[tex] \frac{3}{ {x}^{2} } [/tex]By using the rules of indices
[tex] \frac{1}{ {a}^{b} } = {a}^{ - b} [/tex]Applying the rules to the above expression
We have the final answer as
[tex]3 {x}^{ - 2} [/tex]Hope this helps you
In a fish tank, 1/5 of the fish are guppies and 1/12 of the fish are goldfish. Which equation most closely estimates the fraction of the fish that are guppies or goldfish in the tank.suggested answers: 1/2+1/2=1 , 1/2+1/4=3/4 , 1/4+1/4=1/2, 1/4+0= 1/4
Answers
Answer: [tex]\dfrac{1}{5}+\dfrac{1}{2}=\dfrac{7}{10}[/tex]
Step-by-step explanation:
A or B = A+B
Given: In a fish tank, [tex]\dfrac15[/tex] of the fish are guppies and [tex]\dfrac{1}{12}[/tex] of the fish are goldfish.
Then, the fraction of the fish that are guppies or goldfish in the tank=[tex]\dfrac{1}{5}+\dfrac{1}{2}=\dfrac{2+5}{5\times2}[/tex]
[tex]\dfrac{7}{10}[/tex]
Hence, the equation most closely estimates the fraction of the fish that are guppies or goldfish in the tank:
[tex]\dfrac{1}{5}+\dfrac{1}{2}=\dfrac{7}{10}[/tex]
An insurance firm reported that "the typical water-skiing accident occurs near the dock from which they start." Which of the following statistical measurements are they most likely discussing? A. mode B. range C. mean D. median
Answers
Answer:
The correct option is;
B. Range
Step-by-step explanation:
In descriptive statistics which analyses the quantitative summary of the statistical data, the range is the region or area or the statistical interval where the data is obtained from and as such the range (in descriptive statistics) gives a guide to the dispersion of the statistical information.
The range is best suited for the representation of the dispersion when the size of the data set is small.
2. A curve has equation y = x2 – 2x - 3. A point moves along the curve in such a way that at P
the y coordinate is increasing at 4 units per second and the x coordinate is increasing at 6
units per second. Find the x coordinate of P.
[3]
Answers
Answer:
The x coordinate of P is [tex]\frac{4}{3}[/tex].
Step-by-step explanation:
Let is find the rate of change of the equation in time, which consists in a composite differentiation. That is:
[tex]\frac{dy}{dt} = 2\cdot x \cdot \frac{dx}{dt} -2\cdot \frac{dx}{dt}[/tex]
According to the statement of the problem, these variables are known:
[tex]\frac{dx}{dt} = 6[/tex] and [tex]\frac{dy}{dt} = 4[/tex]
Hence, the x coordinate of P is found by direct substitution:
[tex]4 = 2\cdot x \cdot (6)-2\cdot (6)[/tex]
[tex]4 = 12\cdot x -12[/tex]
[tex]x = \frac{4}{3}[/tex]
The x coordinate of P is [tex]\frac{4}{3}[/tex].
Let $DEF$ be an equilateral triangle with side length $3.$ At random, a point $G$ is chosen inside the triangle. Compute the probability that the length $DG$ is less than or equal to $1.$
Answers
[tex]|\Omega|=(\text{the area of the triangle})=\dfrac{a^2\sqrt3}{4}=\dfrac{3^2\sqrt3}{4}=\dfrac{9\sqrt3}{4}\\|A|=(\text{the area of the sector})=\dfrac{\alpha\pi r^2}{360}=\dfrac{60\pi \cdot 1^2}{360}=\dfrac{\pi}{6}\\\\\\P(A)=\dfrac{\dfrac{\pi}{6}}{\dfrac{9\sqrt3}{4}}\\\\P(A)=\dfrac{\pi}{6}\cdot\dfrac{4}{9\sqrt3}\\\\P(A)=\dfrac{2\pi}{27\sqrt3}\\\\P(A)=\dfrac{2\pi\sqrt3}{27\cdot3}\\\\P(A)=\dfrac{2\pi\sqrt3}{81}\approx13.4\%[/tex]
Answer:
13.44%
Step-by-step explanation:
For DG to have length of 1 or less, point G must be contained in a sector of a circle with center at point D, radius of 1, and a central angle of 60°.
The area of that sector is
[tex]A_s = \dfrac{n}{360^\circ}\pi r^2[/tex]
[tex]A_s = \dfrac{60^\circ}{360^\circ} \times 3.14159 \times 1^2[/tex]
[tex] A_s = 0.5254 [/tex]
The area of the triangle is
[tex] A_t = \dfrac{1}{2}ef \sin D [/tex]
[tex]A_t = \dfrac{1}{2}\times 3 \times 3 \sin 60^\circ[/tex]
[tex] A_t = 3.8971 [/tex]
The probability is the area of the sector divided by the area of the triangle.
[tex]p = \dfrac{A_s}{A_t} = \dfrac{0.5254}{3.8971} = 0.1344[/tex]
if 13 minute video played for 6 minutes what is the amount of percent played
Answers
Answer: 46.15%
Step-by-step explanation:
From the question, we are informed that a 13 minute video played for 6 minutes. The amount of percent played will be:
= 6/13 × 100
= 0.4615 × 100
= 46.15%
