Answer:
Two equations with exactly one solution
y=x
y=-x
Two equations with no solutions
y=x
y=x+1
Two equations with infinitely many solutions
x+y+1
2x+2y=2
Step-by-step explanation:
Let's use linear equations. The slope intercept form is
y=mx+b
m is the slope and b is the y intercept.
To make the equations have one solution, the two equations must represent lines that do not have the same slope, so that they intersect. We must choose different slopes, but any y intercepts will do. Example: Choose the slopes to be 1 and -1 and choose both y intercepts to be 0
y=x
y=-x
For there to be no solutions, all we need are the same slopes and different y intercepts, so that the lines are parallel and at different heights. Let's choose the slopes to be 1 and the y intercepts to be 0 and 1.
y=x
y=x+1
To get infinitely many solutions all we need is for the lines to be parallel with the same y intercept, so that they lie on top of each other. We could use
y=x
y=x
but your teacher probably wants something different. So, lets use another form of a linear equation, the so-called standard form.
ax+by=c
if you solve this for y, you get
y=-(a/b)x+(c/b)
This is in the y=mx+b form we used before, except that now the slope is -(a/b) and the y intercept is (c/b). So, we will get the same slope if the ratio of a to b is the same for both equations and the ratio of c to b is the same for both equations. In other words, simply choose a standard form equation and then get another by multiplying through by any number. In general
ax+by=c
and
kax+kby=kc
will do the trick. Here is an example.
x+y+1
2x+2y=2
ellen had 25 hair clips.7 of them and the rest were purple , what precent of the hair clips were blue,what percent of the hair clips were purple
Pls helppp
Answer:
7/25. then do 25-7. take that answer and divide by seven
Step-by-step explanation:
also, make sure to divide the smaller number by 25! it seems weird but it should work! fell free to use a calculator
- A cylindrical fish tank can hold approximately 502.40
cubic inches of water. If the height of the fish tank is
10 inches, what is the radius of the tank? Use 3.14 for
Answer:
Step-by-step explanation:
- A cylindrical fish tank can hold approximately 502.40
cubic inches of water. If the height of the fish tank is
10 inches, what is the radius of the tank? Use 3.14 for
the answer, 6.86
A group of students organized a car wash to raise
money for a local charity. The students charged $5.00
for each car they washed. In 3 hours, they washed 15
cars. At that rate, how much money could they earn
from washing cars for eight hours?
Answer:
Answer is 160.00
Step-by-step explanation:
*proportion*
3hours/12cars
8hours/ (x) cars
X=32
Answer:
I think they would earn $40 buckeroos in 8 hours
Step-by-step explanation:
$5.00 x 8 hours = $40.00
I hope this was right & helpful ^w^
simplify 5y^2 + 5y + 5y + 5x^2.
Combine like terms
5y^2+5y+5y+5x^2
5y^2+10y+5x^2
Rearrange terms
5y^2+10y+5x^2
5x^2+5y^2+10y
Solution
5x^2+5y^2+10y
what is bigger -1/2 or -7/10
Answer:
-1/2
Step-by-step explanation:
-1/2 is -0.5
-7/10 is -0.7
-0.5 is closer to 0 which means it is greater than -0.7
Write the equation for the function graphed above
g(x)=
-(x+1)^2 + 3
move 3 units up, 1 unit to the left, and a reflection from x^2.
PLSSS HELPPPPPPP I GIVE BRAINIEST
Answer:
A.
Step-by-step explanation:
correct answer is
[tex]y=100*(0.91)^x.[/tex]
if to compare the values of the y, (0;100), (1;91), (2;82.81), (3; 75.3571), then
75.3571/82.81=82.81/91=91/100=0.91, it means the next value is decreased at 9%.
Simplify ((–3)2)3. Question 4 options: A) (–3)5 B) (–3)3/2 C) (–3)6 D) (–3)2/3
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
(x, y) → (x + 5, y – 3)
(x, y) → (x + 5, y + 3)
(x, y) → (x – 3, y + 5)
(x, y) → (x + 3, y + 5)
Answer:
(x, y) → (x + 5, y – 3)
Step-by-step explanation:
Refer to a graph. It helps.
Up = +
Down = -
Right = +
Left = -
Answer:
actually, the CORRECT answer is C) (x, y) → (x – 3, y + 5)
Step-by-step explanation:
got 100% on my e2020 unit test! ;D
11. Which of the following sets of number is not a Pythagorean triple?
A. 9-40-41
B. 9-12-15
C. 5-12-13
D. Not Here
If 30 ounces of cereal costs $2.49, what is the cost per
ounce?
Answer:
the answer .08
Step-by-step explanation:
Answer:
0.08
Step-by-step explanation:
2.49 divided by 30 gives you 0.08 so it's 8 cents per ounce
What is the area of the following circle?
Either enter an exact answer in terms of t or use 3.14 for I and enter your answer as a decimal.
d = 14
units
Answer:
Area = 49π
Step-by-step explanation:
circle Area = π x (radius)²
Assuming d = 14 is the diameter (which the problem really should state explicitly, not leave you to assume), then the radius is half of that.
So r = 7, where 'r' is the radius.
Area = π x r² = π(7)² = π(49)
Area = 49π is the exact answer, so it is the one I prefer.
Area = 153.86 is the decimal you get if you multiply 49 x 3.14
Hope this helps.
pienso un numero .cuando le sumo 25 obtengo 23 ¿cual es ese numero.?..
pienso en un numero. cuando le sumo obtengo 1026. ¿cual es el numero?...
pienso en un numero. cuando le resto 9 obtengo 16. ¿cual es ese numero?...
pienso en un nuemero. cuando le resto 570 obtengo 425. ¿cual es el numero?...
pienso en un numero. cuando le sumo 12 y le resto 15 obtengo 23 ¿cual es ese numero?...
pienso en un numero. cuando le resto 6 y le sumo 7 obtengo 22. ¿cual es ese numeo?...
pienso un numero. cuando lo multiplico por 5 obtengo 35. ¿cual es ese numero?...
pienso en un numero. cuando lo multiplico por 3 obtengo 45. ¿cual es ese numero?...
pienso en un numero. cuando lo multiplico por 3 y le sumo 12 obtengo 114. ¿cual es ese numero?...
el triple de un numero es igual 96. ¿cual es ese numero?...
el triple de la edad de mario es igual a la de su papa tiene 18 años. ¿que edad tiene mario?...
porfavor rapido...
Answer:
creo que es 15
Step-by-step explanation:
Answer:
can u translate for english?
Step-by-step explanation:
I can't understand
Find the distance between (6, -2) and (1, -2).
Answer:
it is 5 units
Step-by-step explanation:
All you have to do for this one is subtract 6-1 which equal 5 units. This only works in this one because is says at the end -2 on both the numbers.
For this problem, assume that the committee contains 6 men and 9 women and that three are selected at random for a subcommittee. What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women
Answer:
0.3846 = 38.46% probability that the subcommittee consists of 2 men and 1 woman.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
To solve this question, we need to know the combinations formula and conditional probability.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women?
Event A: Contains both men and woman
Event B: Consists of two men and 1 woman.
Probability of containing both men and woman:
Desired outcomes:
2 men(from a set of 6) and 1 woman(from a set of 9), or 1 men(from a set of 6) and 2 women(from a set of 9). So
[tex]D = C_{6,2}*C_{9,1} + C_{6,1}*C_{9,2} = \frac{6!}{2!4!}*\frac{9!}{1!8!} + \frac{6!}{1!5!}*\frac{9!}{2!7!} = 351[/tex]
Total outcomes:
3 people from a set of 6 + 9 = 15. So
[tex]T = \frac{15!}{3!12!} = 455[/tex]
Probability:
[tex]P(A) = \frac{D}{T} = \frac{351}{455} = 0.7714[/tex]
Intersection of events A and B:
Intersection between both men and women, and 2 men and 1 woman, is 2 man and 1 women. So
Desired outcomes:
2 men(from a set of 6) and 1 woman(from a set of 9).
[tex]D = C_{6,2}*C_{9,1} = 135[/tex]
Total outcomes:
3 people from a set of 6 + 9 = 15. So
[tex]T = \frac{15!}{3!12!} = 455[/tex]
Probability:
[tex]P(A \cap B) = \frac{D}{T} = \frac{135}{455} = 0.2967[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2967}{0.7714} = 0.3846[/tex]
0.3846 = 38.46% probability that the subcommittee consists of 2 men and 1 woman.
Subtract (4x - 2y) from the sum of (10x - 2y) and (-3y)
Answer:
6x - 3y
Step-by-step explanation:
First find the sum
10x - 2y - 3y
10x - 5y
Now do the subtraction
10x - 5y - (4x - 2y) Remove the brackets.
10x - 5y - 4x + 2y
10x - 4x = 6x
-5y + 2y = - 3y
Answer
6x - 3y
valor de la pendiente y de la ordenada al origen de y = −2x − 1
Answer:
pendiente = -2, y intersection = -1
Step-by-step explanation:
la pendiente es -2 y origen de la y es -1.
A diagnostic test for a disease is such that it (correctly) detects the disease in 90% of the individuals who actually have the disease. Also, if a person does not have the disease, the test will report that he or she does not have it with probability 0.9. Only 3% of the population has the disease in question. If a person is chosen at random from the population and the diagnostic test indicates that she has the disease, what is the conditional probability that she does, in fact, have the disease
Answer:
0.2177 = 21.77% conditional probability that she does, in fact, have the disease
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Test positive
Event B: Has the disease
Probability of a positive test:
90% of 3%(has the disease).
1 - 0.9 = 0.1 = 10% of 97%(does not have the disease). So
[tex]P(A) = 0.90*0.03 + 0.1*0.97 = 0.124[/tex]
Intersection of A and B:
Positive test and has the disease, so 90% of 3%
[tex]P(A \cap B) = 0.9*0.03 = 0.027[/tex]
What is the conditional probability that she does, in fact, have the disease
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.027}{0.124} = 0.2177[/tex]
0.2177 = 21.77% conditional probability that she does, in fact, have the disease
can someone please help me with this (due today)
I Need Help! 50pts. Write a paragraph explaining how to graph and find the reference angle for the 435° angle on the unit circle.
Answer:
0° to 90°: reference angle = angle ,
90° to 180°: reference angle = 180° - angle ,
180° to 270°: reference angle = angle - 180° ,
270° to 360°: reference angle = 360° - angle .
Step-by-step explanation:
Definition of Reference Angle: Let θ be a non-quadrantal angle in standard position. The reference angle of θ is the acute angle θR that the terminal side of θ makes with the x-axis. If θ is in QI, θR = θ If θ is in QII, θR = 180° – θ or π – θ If θ is in QIII, θR = θ – 180° or θ – πThe reference angle of 240° is 60°. To find the reference angle of a given angle, A, with measure x°, we start by adding or subtracting. You can see that the terminal side of the 135° angle and the x-axis form a 45° angle (this is because the two angles must add up to 180°). This 45° angle, shown in red, is the reference angle for 135°.
The formula for the volume of a pyramid is V=Bh/3 where h Is the helght of the pyramid and B is the area of the base. Rewrite the formula in terms of B, the area of the base. In your final answer, Include all of your work. y
Answer:
[tex]B = \fra{3V}{h}[/tex]
Step-by-step explanation:
Given
[tex]V = \frac{Bh}{3}[/tex]
Required
Make B the subject
[tex]V = \frac{Bh}{3}[/tex]
Multiply both sides by 3
[tex]3 * V = \frac{Bh}{3}*3[/tex]
[tex]3V = Bh[/tex]
Divide both sides by h
[tex]\fra{3V}{h} = \frac{Bh}{h}[/tex]
[tex]\fra{3V}{h} = B[/tex]
[tex]B = \fra{3V}{h}[/tex]
Please help I’ll do anything
Tyce makes $9.55 per hour and worked 28 hours last week. He also makes 15% commission on the $300 of
sales he made last week. How much did he make in total for last week?
Answer:
$312.40
Step-by-step explanation:
First, multiply his salary per hour by the hours he worked. (9.55 x 28 = 267.4)
Then, find 15% of 300. (300 / 0.15 = 45)
Now add the two numbers together!
267.4 + 45 = 312.40
14)
Use the GCF and rewrite: (22 + 12x)
A)
2(11 + 6x)
C) 5(4 +2x)
D) 46 + 2x)
B)
615 + 2x)
11
Answer:
A = 2(11 + 6x)
Step-by-step explanation:
GCF = Greatest Common Factor (remember example: 12 and 16 gcf = 4 because it is the largest number they have together. 12 = 4 * 3 and 16 = 4*4)
22 and 12's GCF is 2:
22 = 2*11
12 = 2*6
Using the distributive property, we can find out that A is the right answer.
However, let us check the other options:
B does not make sense because 6*5 is 30. 6 only applies to 12
C is not correct because it does not apply to 22 or 12
And D only applies to 12 as well because 4*3 = 12 but 4*6 is 24
A should be the answer so I hope this helps!
A ramp leading into a building makes a 15° angle with the ground. The end of the ramp is 2.5 feet above the base of the building.
Approximately, how long is the ramp?
A. 0.65 feet
B. 2.59 feet
C. 9.33 feet
D. 9.66 feet
Answer:
Step-by-step explanation:
[tex]\sin15^o=\frac{2.5}{r}\\ \\ r=\frac{2.5}{\sin15^o\\ \\ r\approx 9.66ft[/tex]
Peter's family traveled 5/8 of the distance to his grandmother’s house on Saturday. They traveled 2/3
of the remaining distance on Sunday. What fraction of the total distance to his grandmother’s house was traveled on Sunday?
Can you guys tell me if the 6 graphs are functions or not ?
Answer:
in order from left to right : NO, NO, YES, NO, YES, NO
Step-by-step explanation:
here's how you can tell! if any point on the line (or singular point) lines up VERTICALLY with a different point, it automatically is not a true function. thats why a vertical slope is "undefined" because its not a function.
i hope this made sense... have a good day !
A turntable rotates at 68 revolutions per minute. What is its angular speed in radians per second?
Answer:
[tex]\displaystyle \frac{34 \pi}{15} \ \frac{rad}{sec}[/tex]
General Formulas and Concepts:
Math
Dimensional AnalysisPre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPre-Calculus
Angular Speed: 2π rad per revolutionStep-by-step explanation:
Step 1: Define
68 revolutions per minute
Step 2: Identify Conversions
2π rad per revolution
60 seconds = 1 minute
Step 2: Convert
[DA] Set up: [tex]\displaystyle \frac{68 \ rev}{1 \ min} \cdot \frac{2 \pi \ rad}{1 \ rev} \cdot \frac{1 \ min}{60 \ sec}[/tex][DA] Multiply/Divide [Cancel out units]: [tex]\displaystyle \frac{34 \pi}{15} \ \frac{rad}{sec}[/tex]simplify 2y^2 + 2y + 2y + 2x^2.
Answer:
[tex]6y^{2}[/tex][tex]+ 2x^{2}[/tex]
Step-by-step explanation:
[tex]2y^{2} +2y+2y + 2x^{2}[/tex]
add the like terms and you get your answer :3
Solve.
4x + 6 - 2x - 5 + 9
Answer:
Step-by-step explanation:
Group the like terms:
4x-2x+6-5+9
Add the similar elements:
2x+6-5+9
Add/Subtract the numbers:
2x+10