Answers
Answer:
Step-by-step explanation:
Remark
The purple lines cross but once. A solution to a set of functions counts how many times the functions cross. Since these two lines cross but once, there is only 1 solution.
If the lines are parallel, they never cross. That means there are no solutions.
If you are given 2 equations and one is the same line as the second one, then there are an infinite number of solutions.
Hi!
Solutions to systems of equations are only where the lines intersect at a point.
That means that if the lines cross over at any point, they have a solution. Lines that don't have a solution -- parallel lines -- do not cross over.
In this graph, we can see that it crosses over at only one point.
That means that this system of equations has exactly one solution.
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Related Questions
in a certain school of 200 students ,the students can study french,spanish,,both or neither . Just as many study both as study neither .One quarter of those who study spanish also study french.The total number who atudy french is 10 fewer than those who study spanish only .what percent of student study french only
Answers
Answer:
1900
Step-by-step explanation:
i took the est
Why is the interest rate one of the biggest factors when calculating the financial charges on credit cards?
Answers
Answer:
Interest rate is one of the biggest factors in calculating finance charges because the interest rate adds a percentage of money not already spent to pay towards the credit cards if not paid in full each month.2x + 5y = 20
6x - 5y = 12
Answers
Answer:
is this a question?
Step-by-step explanation:
First Solve 2x+5y=20 for x
Add -5y to each side
2x=5y-20
Divide both sides by 2
x= -5/2y +10
Next substitute -5/2y +10 for y in the equation 6x-5y=12
6(-5/2y+10) -5y=12
-20y+ 60= 12
Then simplify again by adding -60 to each side
-20y= -48
Then divide by -20 on each side
Y= 12/5 (or 2.4)
Now to find x substitute 12/5 for y in x= -5/2y+10
X= -5/2(12/5) +10
X= 4
So X=4 and Y= 12/5 or 2.4
Hope that helped
ANSWER THIS TO GET 23 POINTS AND BRAINLIEST
Answers
Ohhh, interest problems. I haven't done an equation like this in a long time, but I will attempt.
I would say that the answer is the 2nd option. The equation is i = (5200)(0.06)(2.5).
The traditional interest formula is I = (P)(R)(N).
P = the original amount of money given
R = interest rate
N = the amount of time
I hope this answers your question (and that I understood the question correctly!).
-Toremi
Find the slope of the line passes through the points (2, 5) and (9, 8).
A. 1/7
B.2/7
C. 3/7
D.8/7
Answers
Step by Step Explanation:
Given:line passing through points (2,5) and (9,8)To find: Slope of the lineSolution:-
Here, to find the slope of line passing through two points x₁,x₁ and y₁,y₂ is given by:-
[tex]\sf m=\frac{y_2 - y_1}{x_2 - x_1} [/tex]
where,
x₁ = 2
x₂ = 9
y₁ = 5
y₂ = 8
Therefore putting the values , we get
[tex] \sf \: m=\frac{y_2 - y_1}{x_2 - x_1} \\ \\ : \longrightarrow \: \frac{8 - 5}{9 - 2} \\ \\ : \longrightarrow \: \frac{3}{7} [/tex]
Hence, the slope of line passes through the points (2, 5) and (9, 8) is 3/7.
i need help with algebra need asap
Answers
I hope that I helped you
Date:
Bell:
Unit 11: Volume & Surface Area
Homework 8: Volume of Pyramids &
** This is a 2-page document. **
Directions: Find the volume of each figure, Round to the nearest hundredth when necessi
1.
2. 3 km
22 cm
14 cm
8 km
14 cm
1/3 (314)
75. 3
3.
4.
-8 ft
5. 7 yd -
3,74
12 ft
23 ya
9 yd
Answers
The volume of any shape is the amount of space in it.
The volume of the cylinder is 1570 square units
How to determine the volume?The question is incomplete. Assume the following parameters
Shape = Cylinder
Radius, r = 10
Height, h = 5.
The volume of a cylinder is:
V = πr^2h
So, we have:
V = 3.14 * 10^2 * 5
Evaluate the product
V = 1570
Using the assumed values, the volume of the cylinder is 1570 square units
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Which equation has the solutions x = startfraction negative 3 plus-or-minus startroot 3 endroot i over 2 endfraction? 2x2 6x 9 = 0 x2 3x 12 = 0 x2 3x 3 = 0 2x2 6x 3 = 0
Answers
The quadratic equation which matches given solution is x² + 3x + 3 = 0. Then the correct option is C.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
We know that the formula
[tex]\rm x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The solutions are given below.
[tex]\rm x = \dfrac{-3 \pm \sqrt3 \iota }{2}[/tex]
Then
1) 2x² + 6x + 9 = 0, the zeroes of the equation will be
[tex]\rm x = \dfrac{-6\pm 6\iota}{4}\\\\x = \dfrac{-3\pm 3 \iota}{2}[/tex]
2) x² + 3x + 12 = 0, the zeroes of the equation will be
[tex]\rm x = \dfrac{-3\pm \sqrt{39}\iota}{2}[/tex]
3) x² + 3x + 3 = 0, the zeroes of the equation will be
[tex]\rm x = \dfrac{-3\pm \sqrt3\iota}{2}[/tex]
4) 2x² + 6x + 3 = 0, the zeroes of the equation will be
[tex]\rm x = \dfrac{-6\pm 2\sqrt{3}}{4}\\\\x = \dfrac{-3\pm \sqrt3 }{2}[/tex]
More about the quadratic equation link is given below.
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What is the exact decimal equivalent of 7 half’s 12
Answers
The decimal equivalent of 7 half’s is the number in decimal form
The exact decimal equivalent of 7 half’s is 3.5
What is a decimal number?A decimal number is a number represented by an integer and a fractional part
How to determine the decimal equivalant?The number is given as:
7 halves
Express as product
7 * 1/2
Evaluate the product
3.5
Hence, the exact decimal equivalent of 7 half’s is 3.5
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Charlie cell phone cost $50 each month plus $0. 05 per text message. His budget is no more than $75 a month. How many text can be send?
Answers
Answer:
500
Step-by-step explanation:
let's say charlie sends x messages per month
he spends $50 + 0.05 for each x (message), which comes out to less than or equal to $75.
as an equation, this is
50 + 0.05 x ≤ 75
subtract both sides by 50 to isolate the variable and its coefficient
0.05 x ≤ 25
multiply both sides by 1/0.05 to isolate x
x ≤ 500
the maximum is therefore x = 500 messages
What is the percent of increase from 6 to 9?
Answers
Answer:
50%.
Step-by-step explanation:
please mark me the brainiest
The marked price of a car is $49,500. A person can pay deposit of 30%
and interest at 12% per annum is charged on the outstanding balance.
The total amount payable is to be paid in 2 1/2 years. A) the amount of
each monthly installment b) The hire purchase of the car
Answers
The amount of each monthly installment is $1,294 and the hire purchase of the car is: $4,158.
Monthly installementa. Monthly installment
2 1/2 years=30 months
First step
Amount payable=[49,500×(1-.30)] /30 months
Amount payable=(49,500×.70)/30 months
Amount payable=$34,650/30 months
Amount payable=$1,155
Second step
Amount of monthly installment=[$1,155×(1+0.12)
Amount of monthly installment=$1,155×1.12
Amount of monthly installment=$1,293.6
Amount of monthly installment=$1,294 (Approximately)
b. Hire purchase
Hire purchase=$1,155×.12×30 months
Hire purchase=$4,158
Therefore the amount of each monthly installment is $1,294 and the hire purchase of the car is: $4,158.
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A bodybuilder gains 1.5 pounds each week for 5 weeks. Which equation represents the change in the bodybuilder's weight after the 5 weeks?
Answers
Answer:
Step-by-step explanation:
The bodybuilder gains 1.5 each week for 5 weeks.
If the bodybuilder gains 1.5 for 5 weeks, how many pounds did he gain?
1.5 * 5 = 7.5
What is 2736÷61 step-by-step
Answers
Answer: 44.85 in decimal and 44 Rem 52
Step-by-step explanation: Check my file for long calculation. You can stop when the remainder is 52 Or continue to divide further with decimal
What is the probability of picking a 5 and then picking a 2
Answers
Answer:
I cannot answer this question because it is not complete. Please use complete sentences and questions.
if there are 34555 apples in a truck then 300 are ate ant 200 go to trash and 999 is in room. how many left. Answer in hurry
Answers
Answer:33,056
Step-by-step explanation:i dont know jut put this answer
175 miles in 4 hours in unit rate pls help me
Answers
175 divided by 4 = 43.75
43.75 miles per hour / mph is your unit rate
To get this all I did was 175 divided by 4
The depth of the water at the end of a pier changes periodically along with the movement of tides. on a particular day, low tides occur at 12:00 a.m. and 3:30 p.m., with a depth of 3.25 meters, while high tides occur at 7:45 a.m. and 11:15 p.m., with a depth of 8.75 meters. which of the following equations models d, the depth of the water in meters, as a function of time, t, in hours? let t = 0 be 12:00 a.m. d = negative 3.75 cosine (startfraction 4 pi over 31 endfraction t) 5 d = negative 3.75 cosine (startfraction 4 pi over 29 endfraction t) 5 d = negative 2.75 cosine (startfraction 4 pi over 31 endfraction t) 6 d = negative 2.75 cosine (startfraction 4 pi over 29 endfraction t) 6
Answers
In this exercise we have to calculate the value of the water depth, so we have: d=5.5Cos(12t)+6
What are periodic waves?
A periodic wave is a wave with a repeating continuous pattern that determines its wavelength and frequency
Putting together some information given in the statement we have:
The minimum depth of 3.25 m occurs at 12:00 am and at 3:30 pm.Therefore the period t=0 will be 12:00 am.The maximum depth of 8.75 m occurs at 7:45 am and at 11:15 pm.Knowing that the formula will be given by an equation similar to:
[tex]d=acos(bt)+k[/tex]
Where:
d = depth, mt = time, hoursa= amplitudeThe amplitude difference is given by:
[tex]8.75-3.25=5.5\ m[/tex]
The mean depth is:
[tex]k=\dfrac{(3.25+8.75)}{2}=6\ m[/tex]
Then writing the equation with;
[tex]d=acos(bt)+k\\\\d=5.5cos(12t)+6[/tex]
Hence the value of water depth will be d=5.5Cos(12t)+6
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Find the domain of the rational function below.
f(x)=(x+2)(x-1)/(x-3)(x+2)
Answers
Answer:
Domain: { x ∈ R | x ≠ -2, 3 }
Step-by-step explanation:
[tex]f(x)=\dfrac{(x+2)(x-1)}{(x-3)(x+2)}[/tex]
The domain (x-values) of a rational function is all real numbers of x with the exception of those for which the denominator is 0. Therefore, to find the values of x that need to be excluded from the domain, equate the denominator to zero and solve for x.
The denominator for the given function is [tex](x - 3)(x + 2)[/tex]
[tex]\implies (x - 3)(x + 2)=0[/tex]
[tex]\implies (x - 3)=0\implies x=3[/tex]
[tex]\implies (x + 2)=0 \implies x=-2[/tex]
There will be a hole at x = -2 and an asymptote at x = 3.
So the values of x that need to be excluded from the domain are:
x = 3 and x = -2
Therefore, the domain of the given rational function is: { x ∈ R | x ≠ -2, 3 }
Help me please! Brainliest?
Answers
Answer:
D. Neither A not B is true.
Step-by-step explanation:
The solutions of the equations are none among the given answers..So, it's neither a not b.
You have marked the right option:D
Hope it helps:)
A college professor wants to survey a sample of students taking his course. Here are some details about his course:
He teaches 5 sections of the course.
There are 250 total students across those sections.
There are 50 graduate students and 200 undergraduate students taking the course.
Each section has about 50 students (some graduate and some undergraduate).
The professor wants to take a sample of 30 students for a survey. He suspects that opinions on the survey may differ the most based on student type (graduate or undergraduate), so he wants to design his sample to take that into account. Which of these strategies will accomplish his intended design?
a. Randomly select 6 students from each section for the survey.
b. Randomly select 6 graduate students and 24 undergraduate students for the survey
c. For each section, randomly select one of the first 8 students to arrive to class, and every 8th student thereafter to take the survey.
d. Randomly select one of the sections and give the survey to every student in that section
Answers
Answer: B, Randomly select 6 graduate students and 24 undergrad students for the survey.
Step-by-step explanation: This guarantees that each type is proportionately represented in the survey.
Not A because it risks too many or too few graduate students. It is not C because again, it risks too many or too few graduate students. It is not D because each section has about 50 students and the professor only wants 30 in his sample.
Answer:
Step-by-step explanation:
B
1. Solve x2+ 3x – 4 = 0
2. Solve 2x2 – 4x – 3 = 0
3. Solve x(x – 2) = 4
4. Solve 9x2+ 12x + 4 = 0
5. Solve x
2+ 2x = 1
WILL GIVE BRAINLIEST
Answers
Answer:
The answer is given in the picture
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Square A′B′C′D′ is a dilation of square ABCD.
What is the scale factor?
Enter your answer in the box.
Note: Images may not be drawn to scale
Answers
6/2 = 3/1
So 3:1
Meaning the left one is 3 times the size of right one.
OR
2/6 = 1/3
So 1:3
Meaning right one is 1/3 the size of left one
the histogram shows the number of minutes that users waited to register for classes on a university's online system. how many users are represented on the histogram
Answers
5 red, 4 yellow, 9 blue, 2 pink, 4 purple
5 + 4 + 9 + 2 + 4 = 24 people
Calculate persons of each color
Red=5Yellow=4Blue=9Pink=2Purple=4Total:&
5+4+9+2+4=24Solve sec (y + pi/2) = - 2 for 0 < y < pi radians.
Help needed!! anyone?
Answers
[tex]~~~~\sec\left(y+\dfrac{\pi}2 \right) = -2\\\\\\\implies \left[\cos \left( y+ \dfrac{\pi}2 \right) \right]^{-1} = -2\\\\\\\implies \left( \cos y \cos \dfrac{\pi}2 -\sin y \sin \dfrac{\pi}2 \right)^{-1} =-2\\\\\\\implies \left(0- \sin y \right)^{-1} =-2\\\\\\\implies \left(-\sin y \right)^{-1} = -2\\\\\\\implies \sin y = \dfrac 12\\\\\\\implies y = n\pi + (-1)^{n} \dfrac{\pi}6\\\\\text{In the interval, }~(0,\pi)\\\\\\y= \dfrac{\pi}6, ~\dfrac{5\pi}6[/tex]
Juanita begins to factor an expression as shown. x2 3x−18=(x )(x−) what numbers should be placed in the boxes from left to right? 3 and 6 2 and 9 6 and 3 9 and 2
Answers
The numbers which should be placed in the boxes from left to right, when Juanita factor the expression, is 6 and 3 respectively.
What is a factor of polynomial?The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.
Juanita begins to factor an expression as shown.
[tex]x^2+ 3x-18=(x+ \;\;)(x-\;\;)[/tex]
To find the value of blank, we have to factor the left-hand side expression using the split the middle term method as,
[tex]x^2+ 3x-18\\x^2+ 6x-3x-18\\x(x+6)-3(x+6)\\(x+6)(x-3)[/tex]
Hence, the numbers which should be placed in the boxes from left to right, when Juanita factor the expression is 6 and 3 respectively.
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Find the value of x in the triangle shown below.
O
C =
3.5
4
xº
55°
3.5
Answers
Answer:
okay so the answer is 70°
Step-by-step explanation:
the triangle has two sides equal meaning its a scalene triangle. now bases scalene triangles have two angles equal. hence sum of angles in the triangle sum up to 180° please. rate. me brainliest. if I'm. right
[tex]55 + 55 + x = 180 \\ 110 + x = 180 \\ x = 180 - 110 \\ x = 70degrees[/tex]
If two angles are complementary and one of the angles measures 27°, what does the other angle measure?
73°
153°
63°
27°
Answers
A square has a side length of 22 meters.
What is the area of this square
Answers
Answer:
484 meters squared
Step-by-step explanation:
Area is Length times Width.
You're dealing with a square meaning all sides are equal.
You simply need to do 22m x 22m = 484m squared
Round 3, 295.351 to the nearest tenth.
3, 295.35
3, 295.3
3, 300
0 3,295.4
Answers
Answer:
3,295.4
Step-by-step explanation:
to the nearest tenth is 3,295.4