[tex]6x^2-x=2\implies 6x^2-1x-2=0 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{6}x^2\stackrel{\stackrel{b}{\downarrow }}{-1}x\stackrel{\stackrel{c}{\downarrow }}{-2}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}[/tex]
[tex]x = \cfrac{ -(-1) \pm \sqrt { (-1)^2 -4(6)(-2)}}{2(6)}\implies x = \cfrac{1\pm\sqrt{1+48}}{12} \\\\\\ x = \cfrac{1\pm\sqrt{49}}{12}\implies x = \cfrac{1\pm 7}{12}\implies x = \begin{cases} \frac{8}{12}\to &\frac{2}{3}\\[1em] -\frac{6}{12}\to &-\frac{1}{2} \end{cases}[/tex]
If point S ( 3, 4 ) is reflected across the line y=1, what are the coordinates of its reflections image?
Answer: C
Step-by-step explanation: If point P(3,10) is reflected across the line y=1, the coordinates of it's reflection image is (3,-8)
A crate has a mass of 6kg. Using the fact that the acceleration due to gravity is g=9.8 m/s2, how much work is done in lifting the crate 3m, in Joules? Round answer to one decimal place if necessary.
Work done = force applied * distance covered
Force = mass * acceleration
Therefore, Work done = mass * acceleration * distance covered
Parameters:
mass = 6kg
acceleration = 9.8m/s2
distance = 3m
Substitution:
Work done = 6 * 9.8 * 3
Work done = 176.4J (to 1 decimal place)
(x-3)(2x+1) Can someone help me on this please
Learning Task 2: Solve each proportion
1) 5/12 = 35/ n
2) n/ 52 = 180/ 120
3) 18/n = 21/28
4) n/4 = 24/6
5) 10/16 = n/56
1. [tex] \frac{5}{12} = \frac{35}{n} \\ 5n = 35 \times 12 \\ 5n = 420 \\ n = \frac{420}{5} \\ n = 84[/tex]
2. [tex] \frac{n}{52} = \frac{180}{120} \\ 120n = 180 \times 52 \\ 120n = 9360 \\ n = \frac{9360}{120} \\ n = 78[/tex]
Hey That last question is A LOT OF POINT'S
Answer:
1. 7x
2. 8x - 1
3. 12 + 6x
4. 4 - 7x
5. 13x - 7
Step-by-step explanation:
Some students have a goal of collecting 200 leaves for a science
project. What does 0% of the goal mean in this situation? What does 100% mean?
Answer:
0% is none of the leaves and 100% is collecting all of them
ABCD is a parallelogram.the length of AB is 15 what is the the length of CD
rhombus opposite sides are equal.
So, CD = 15
please help i seriously don’t know this at all lol
Answer:
156m^2
Step-by-step explanation:
label the shapes A and B) triangle=shape b and rectangle=shape a
shape a)10x12=120m^2
shape b)(12x6)/2=36m^2
add the values of shape a and b together to get the area of the shape)120+36=156m^2
list all the prime numbers between 90 and 100
Im pretty sure the only prime number in between 90 and 100 is 97
A teacher categorized students by whether they regularly completed their homework (or not) and whether they passed the course (or not). The data are in the table below.
Completed Homework Did not Complete Homework Total
Passed the Course 25 7 32
Did not Pass the Course 5 18 23
Total 30 25 55
A student from the class is randomly selected. Determine the following probabilites. Enter your results as percents rounded to two decimal places.
What is the probability a student passed the course given that they completed their homework?
%
What is the probability a student passed the course given that they didn't complete their homework?
28
Correct%
What is the probability a student completed their homework given that they passed the course?
%
What is the probability a student didn't complete their homework given that they didn't pass the course?
%
Probabilities are used to determine the chances of an event.
Let P represents the event that a student passes the course, and C represents the event that a student completes the assignment
(a) The probability a student passed the course given that they completed their homework?
From the table, we have:
[tex]\mathbf{n(P\ n\ C) = 25}[/tex]
[tex]\mathbf{n(C) = 30}[/tex]
So, the required probability is:
[tex]\mathbf{Pr = \frac{n(P\ n\ C)}{n(C)}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{25}{30}}[/tex]
[tex]\mathbf{Pr = 0.8333}[/tex]
Express as percentage
[tex]\mathbf{Pr = 83.33\%}[/tex]
Hence, the probability a student passed the course given that they completed their homework is 83.33%
(b) The probability a student passed the course given that they didn't complete their homework
From the table, we have:
[tex]\mathbf{n(P\ n\ C'= 7}[/tex]
[tex]\mathbf{n(C') = 25}[/tex]
So, the required probability is:
[tex]\mathbf{Pr = \frac{n(P\ n\ C')}{n(C')}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{7}{25}}[/tex]
[tex]\mathbf{Pr = 0.28}[/tex]
Express as percentage
[tex]\mathbf{Pr = 28\%}[/tex]
Hence, the probability a student passed the course given that they didn't complete their homework is 28%
(c) The probability a student completed their homework given that passed the course?
From the table, we have:
[tex]\mathbf{n(P\ n\ C) = 25}[/tex]
[tex]\mathbf{n(P) = 32}[/tex]
So, the required probability is:
[tex]\mathbf{Pr = \frac{n(P\ n\ C)}{n(P)}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{25}{32}}[/tex]
[tex]\mathbf{Pr = 0.78125}[/tex]
Express as percentage
[tex]\mathbf{Pr = 78.125\%}[/tex]
Approximate
[tex]\mathbf{Pr = 78.13\%}[/tex]
Hence, the probability a student completed their homework given that they passed the course is 78.13%
(d) The probability a student didn't complete their homework given that they didn't pass the course
From the table, we have:
[tex]\mathbf{n(P'\ n\ C'= 18}[/tex]
[tex]\mathbf{n(P) = 23}[/tex]
So, the required probability is:
[tex]\mathbf{Pr = \frac{n(P'\ n\ C')}{n(P')}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{18}{23}}[/tex]
[tex]\mathbf{Pr = 0.7826}[/tex]
Express as percentage
[tex]\mathbf{Pr = 78.26\%}[/tex]
Hence, the probability a student didn't complete their homework given that they didn't pass the course is 78.26%
Read more about probabilities at:
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What is x
5x + 5 = 40
Select the correct answer from each drop-down menu. The general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0. The equation of this circle in standard form is . The center of the circle is at the point , and its radius is units.
7 x² + 7 y² - 28 x + 42 y - 35 = 0 /: 7
x² + y² - 4 x + 6 y - 5 = 0
( x² - 4 x + 4 ) + ( y² + 6 y + 9 ) - 4 - 9 - 5 = 0
The equation in the standard form is:
( x - 2 )² + ( y + 3 )² = 18
The center is at the point ( 2, - 3 ).
Its radius is: √18 = 3√2 units.
Answer:
A. (x - 2)^2 + (y + 3)^2 = 18.
B. (2, -3)
C. 3(2^(1/2))
Step-by-step explanation:
The equation of this circle in standard form is (x - 2)^2 + (y + 3)^2 = 18. The center of the circle is at the point (2, -3), and its radius is 3(2^(1/2)) units.
Twice a number plus eight times a second number is 19. Five times the first number plus seven times the
second is 15. Find the numbers.
Write two linear equations to represent a system to solve this, where X represents the smaller number and
y represents the larger number. Write the equations, but do not solve them.
Answer:
Step-by-step explanation:
2x + 8y = 19
5x + 7y = 15
Please help me, thanks
Answer:
I dont know
Step-by-step explanation:
Can you type in the question please and ty
-5/8 - (-4/3)
Pls help
Answer:
Step 1 of 2: Subtract.
Subtract
(
negative 5 over 8
−
5
8
) − (
negative 4 over 3
−
4
3
) =
17 over 24
17
24
Step 1 of 2: Subtract, sub-step a: Subtract a negative.
Subtract a negative
negative 5 over 8
−
5
8
− (
negative 4 over 3
−
4
3
) =
negative 5 over 8
−
5
8
+
4 over 3
4
3
Subtracting a negative is the same as adding a positive.
Step 1 of 2: Subtract, sub-step b: Find common denominator.
Find common denominator
negative 5 over 8
−
5
8
+
4 over 3
4
3
= −
( 5 × 3 ) over ( 8 × 3 )
5 × 3
8 × 3
+
( 4 × 8 ) over ( 3 × 8 )
4 × 8
3 × 8
=
negative 15 over 24
−
15
24
+
32 over 24
32
24
24 is the least common multiple of denominators 8 and 3. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Subtract, sub-step c: Add.
Add
negative 15 over 24
−
15
24
+
32 over 24
32
24
=
(
negative 15
−15 + 32 ) over 24
negative 15
−15 + 32
24
=
17 over 24
17
24
Answer:
The answer would be 17/24
Step-by-step explanation:
1. Common denominator is going to be 24. 3(-5/8) - 8(-4/3)
2. Next multiply. -15/24 + 32/24
3. After addition you get 17/24 or 0.7
Driveway pavers are 6 inches by 10 inches. If your driveway is 21840 square inches, how many pavers do you need for your driveway?
Answer:
364 pavers are needed.
Step-by-step explanation:
6 x 10= 60
21840/60= 364
What is tan(50)?
-.57
5.88
2.36
1.19
Answer:
1.19
Step-by-step explanation:
tan 50 degrees is the value of tangent trigonometric function for an angle equal to 50 degrees .. the value of 50 degrees is approximately 1.1918
Solve for k.
k + 4.9 = 12.28
Answer:
k=7.38
Step-by-step explanation:
12.28-4.9=7.38
Answer:
7.38Step-by-step explanation:
= > x + 4.9 = 12.28
= > x = 12.28 - 4.9
= > x = 7.38
Hope it helps!!
Jessica's health insurance premium is $3964 annually. If her employer pays 85% and she is paid monthly, how much is deducted from each monthly check? O $22.88 O $49.55 O $330.33 O $594.60
Answer:
594.60
Step-by-step explanation:
basically you turn the percent into a decimal, so 0.85 times 3954. then you subtract 3964.00 and 3369.40 to get the answer <3
Find the square root of the following: 36
121
Exercise #14: The mile and the kilometer are relatively close in size. Can you convert 1 mile into an equivalent
in kilometers? Here's what I'll give you. There are 2.54 centimeters in an inch, 5,280 feet in a mile, 100
centimeters in a meter, and 1000 meters in a kilometer. All else you should be able to do for yourself. Round
your answer to the nearest tenth of a kilometer. This takes quite a string of multiplications, but you can do it!
The equivalent of 1 mile to kilometres is approximately 1.6 km.
2.54 cm = 1 inch
5280 ft = 1 mile
100 cm = 1 m
1000 m = 1 km
Using the information let's convert 1 mile to kilometre.
1000 m = 1 km
Therefore,
1 m = 0.000621371 miles
1000 m(1 km) = ?
cross multiply
length = 1000 × 0.000621371 = 0.621371 miles
Therefore,
0.621371 miles = 1 km(1000 m)
1 miles = ?
length in km = 1.60934449789 km
Therefore,
1 miles = 1.6 km
learn more here; https://brainly.com/question/14035504?referrer=searchResults
Someone who is unable to use a credit card after repeated failures to pay has
had their credit
A. garnished
B. defaulted
C. repossessed
D. suspended
SUBMIT
D. suspended
explanation:
Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.
Option D is the correct answer.
What is a suspended credit card?Credit card suspension is a temporary measure, and the credit card can usually be reinstated once the account is brought up up-to-date.
We have,
When a person repeatedly fails to make payments on their credit card, their credit card company may suspend their credit card.
This means that the person will not be able to use the credit card until they bring their account up-to-date and pay any outstanding balance or fees.
However, repeated failures to pay can have a negative impact on a person's credit score, which is a measure of their creditworthiness.
If the account remains delinquent, it may eventually lead to default, which is when the lender takes legal action to recover the unpaid debt.
Thus,
Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.
Learn more about suspended credit card here:
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Calcular la masa que tiene un cuerpo que se le aplica una fuerza que empuja al lado derecho de 230 N y otra fuerza que empuja al lado izquierdo de - 150N. Considerar que la aceleración que adquiere es de 2 m/s2.
Answer:
Calculate the mass of a body that is applied with a force that pushes the right side of 230 N and another force that pushes the left side of - 150N. Consider that the acceleration it acquires is 2 m / s2.
Step-by-step explanation:
230 e dos
What do you call raising a base to the exponent 2
Answer:
Squaring
Step-by-step explanation:
How do u do this math problem
Answer:
is there a question asked or no?
Please help asap thank you!!
Answer:
No
yes
No
Step-by-step explanation:
yes it is a scalene triangle
the area of the triangle is 28.5
what is 1/2 + 1/12? Please and thank you
Answer:
7/12
Step-by-step explanation:
1/2 + 1/12?
To add fractions, find the LCD and then combine.
Exact Form:
7 /12
Decimal Form:
0.583
Answer:
18/12 or 3/2
Hope this helps!
The deepest point in the world is the Mariana Trench in the western Pacific Ocean. It is 36,198 ft below sea level. What integer represents this depth?
Answer:
-36,198 feet below sea level
Step-by-step explanation:
The weight of an object on the moon is
1 of its weight on Earth. If a moon rock
weighs 203 lb on Earth, how much did
the moon rock weigh on the moon?
Answer:
The answer would be 124.4
Step-by-step explanation:
The simple answer is 124.4 lb on the moon it would way the explation behind this is that the moons gravity is 1.62m/s so dividing that by 1.62 it would be 12.4.4 lb but because of the moons twist on it's axes would make it 90 Ib
Hope this helps :)
the length of a rectangle in (3+√7) and it's with is (1+2√7). what is the area of the rectangle? what is the perimeter of the rectangle
Answer:
Area: (3+√7) x (1+2√7) = 17+7√7 = 35.52
Perimeter: 2(3+√7) + 2(1+2√7) = 8+6√7 = 23.87
