Answer 1 (without replacement) :
P(2 books)=P(first)*P(second)=2/7*1/6=2/42=1/21 this is if you don't put the book back on the shelf after taking it off the first time
Answer 2 (with replacement) :
P(2 books)=P(first)*P(second)=2/7*2/7=4/49 this is if you put the book back on the shelf after taking it off the first time
I put he probably didn't put the book back on the shelf after this first time but I don't know without those details in the question
Write the equation 0.3x2 + 5x - 7 =0 in general form and then choose the value of "b."
For this case we have that by definition, an equation of the second degree is given by:
[tex]ax ^ 2 + bx + c = 0[/tex]
We have the following equation:
[tex]0.3x ^ 2 + 5x-7 = 0[/tex]
Then, according to the definition above, we have to:
[tex]a = 0.3\\b = 5\\c = -7[/tex]
Thus, b equals 5.
Answer:
[tex]b = 5[/tex]
Option C
Which equation represents a line that passes through (2, –0.5) and has a slope of 3?
Answer:
y + 0.5 = 3(x - 2).
Step-by-step explanation:
We use the point-slope form of the equation which is y - y1 = m(x - x1).
Here m = 3 , x1 = 2 and y1 = -0.5, so the equation is:
y - (-0.5) = 3(x - 2)
y + 0.5 = 3(x - 2).
The domain of the following relation: R: {(-3, 4), (5,0), (1, 5), (2, 8), (5, 10)} is (1 point)
{-3, 1, 2, 5)
{4, 0, 5, 8, 10)
{-3, 5, 1, 2,5}
No domain exists
Answer:
{-3,1,2,5}
Step-by-step explanation:
The domain is the input values
(-3,1,5,2,5)
We only list the 5 one time
{-3,1,2,5}
A scatter plot is made to model the amount of money left to pay on a car loan. The data used for the scatter plot are shown in the table:
Answer:
"the original amount of the loan"
Step-by-step explanation:
x value would be the time in months and y value would be the loan amount that is left.
The y-intercept is basically the point where x is 0. So, we can say the y-intercept would be when time is 0.
That's basically when the loan started and the y-value represents the full loan amount., which is $22,000.
The correct answer is third option -- "the original amount of the loan".
Answer:
The correct option is C.
Step-by-step explanation:
It is given that a scatter plot is made to model the amount of money left to pay on a car loan.
From the given table we can conclude that the number or months represented by variable x and the amount of money owed is represented by variable y.
At y-intercept the value of x is 0. It means the y-intercept represents the amount of money owed when the number of months is 0.
In other words, the y-intercept of the model represents the original amount of loan.
Therefore the correct option is C.
Select the correct answer.
Which transformation of the red triangle on the graph maps it onto the missing piece of the square?
Answer:
The above answer is incorrect.
Step-by-step explanation:
The answer would be Option D.
A clockwise rotation about the origin basically means turning the shape 90°, and moving it to the left (in this scenario.)
We see that the red triangle is in the first quadrant, and that the green polygon is in the second quadrant. If we rotate the red triangle about the origin clockwise, it would be perfectly in the missing portion of the green square, making is a perfect square.
In a circle graph, a section that represents 80% of the graph has a central angle measure of what? 72° 146° 288° 360°
Answer:
288°
Step-by-step explanation:
80% of a circle is
80% of 360 degree
.80 *360
288
Answer:
C. 288°
Step-by-step explanation:
80% · 360° (convert 80% to a decimal)
= 0.8 · 360° (then multiply 0.8 to 360°)
= 288°
Solve for x. 9x - 1 = -11 x = -1 x = -1 x = 1 x = 1
Answer:
x=-1
Step-by-step explanation:
Add by 1 from both sides of equation.
9x-1+1=-11+1
Simplify.
-11+1=-10
9x=-10
Divide by 9 from both sides of equation.
9x/9=-10/9
Simplify, to find the answer.
x=-10/9
x=-1 is the correct answer.
I hope this helps you, and have a wonderful day!
Answer:
x = -1.11111111111111(repeating)
Step-by-step explanation:
9x - 1 = -11
Add 1 to each side
9x - 1+1 = -11+1
9x = -10
Divide each side by 9
9x/9 = -10/9
x = -10/9
x = -1.11111111111111(repeating)
19. A school has 24 teachers. Of those teachers,
18 bought lunch today. What percent
of the teachers bought lunch today?
Answer: 75%
Step-by-step explanation:
To get the answer we will divide the amount of teachers that bought lunch by the total amount of teachers
18/24 = 75%
Answer:
75
Step-by-step explanation:
if you put it in a fraction you will get 18 over 24 and to find a percent you divided by numerator by denominator so you divide 18 by 24 and get 0.75
The point(0,2) Is the only solution to the system of linear equations that contains the equations Y = 1/2 X +2 and y =-3X +2. Choose the term that describes a set of equations
a)dependent equations
b) inconsistent equations
C)independent equations
D) cannot be determined
Answer:
independent equations
Choice C is correct
Step-by-step explanation:
The system of linear equations that contains the equations;
Y = 1/2 X +2 and y =-3X +2 is said to be consistent since it has at least one solution;
The point (0,2)
If a consistent system of equations has exactly one solution, it is said to be independent.
Final answer:
The correct term describing a set of equations where each equation represents a different line that intersects at only one point is 'independent equations'.
Explanation:
The point (0,2) is mentioned as the only solution to the system of linear equations with equations y = 1/2x + 2 and y = -3x + 2. Since both equations have only one point of intersection, this means that the graphs of the two equations are two different lines that intersect at exactly one point. This means the system is consistent and the equations are independent, as they form two different lines.
Therefore, the term that describes a set of equations where each equation represents a straight line and they intersect at exactly one point is independent equations.
Simplify (b^4)^3. ❤️ SLAT*_^}
Answer:
[tex]b^1^2[/tex]
Step-by-step explanation:
First, multiply by exponent rule.
[tex](x^y)^z=x^y^z[/tex]
[tex]b^4^*^3[/tex]
Then, multiply by the numbers from left to right.
[tex]4*3=12[/tex]
[tex]b^1^2[/tex], is the correct answer.
Answer:
b^12
Step-by-step explanation:
When there is a power of a power, you multiply the powers
If the radius of a cylinder is doubled and the height is tripled, what happens to the volume?
A)
It is multiplied by 6.
B)
It is multiplied by 12.
It is multiplied by 18.
D)
It is multiplied by 32
Answer:
B
Step-by-step explanation:
Original volume = pi * r^2 * h
New r = 2*r
New h = 3*h
New Volume = pi * (2r)^2 *3*h
New Volume = pi * 4r^2 * 3 *h
New Volume = 4*3 * pi * r^2 + h
Conclusion
The New Volume = 12* the original volume
how many zeros does the function f(x)=4x3-x2+1 have
Answer:
3
Step-by-step explanation:
The Fundamental Theorem of Algebra states that a polynomial of degree n has n zeros. there may be complex zeros
4x³ - x² + 1 ← is a polynomial of degree 3, thus has 3 zeros
Jeremy wants to determine the number of solutions for the equation below without actually solving the equation.
Answer:
Determine if the equation has the form x = a, if it does then it has one solution.
Step-by-step explanation:
We are given the following equation for which Jeremy wants to determine the number of solutions without actually solving the equation.
The best method for this would be to determine if the equation has the form [tex]x=a[/tex] where [tex]x[/tex] represents the variable while [tex]a[/tex] represents the constant.
If the equation has this form, then it means it has one solution.
Answer:
C or
Determine whether the equation has the form x = a, and if it does, the equation has one solution.
Step-by-step explanation:
i just took the test
Which two numbers does 128 lie in between on a number line
Answer:
it's 11.3 and 11.4
Step-by-step explanation:
11.3 = 127.69
11.4 = 129.96
Which expression is equivalent to 4√24x6y/128x4y5? Assume x ≠ 0 and y > 0.
For this case we must simplify the given expression:
Rewriting we have:
[tex]\sqrt [3] {\frac {2 * 5x ^ 5} {2 * 27x ^ 8}} =\\\sqrt [3] {\frac {5x ^ 5} {27x ^ 8}} =[/tex]
By definition of division of powers of equal base, the same base is placed and the exponents are subtracted:
[tex]\sqrt [3] {\frac {5x ^ {5-8}} {27}} =\\\sqrt [3] {\frac {5x ^ {- 3}} {27}} =\\\sqrt [3] {\frac {5} {27x ^ 3}} =[/tex]
We have to:
[tex]\sqrt [3] {27x ^ 3} = 3x[/tex]
Then, the expression is reduced to:
[tex]\frac {\sqrt [3] {5}} {3x}[/tex]
ANswer:
Option D
Answer:
its D jus trust
Step-by-step explanation:
The equation y-3=-2(x+5) is written in point-slope form. What is the y-intercept of the line?
Answer:
y = - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
y - 3 = - 2(x + 5) ← distribute right side
y - 3 = - 2x - 10 ( add 3 to both sides )
y = - 2x - 7 ← in slope- intercept form
with y- intercept c = - 7
y = - 7 is the y-intercept of the line.
What is equation of line?A line's equation has the conventional form ax + by + c = 0. Here, the variables are x and y, the coefficients are a and b, and the constant term is c. It is a first-order equation with the variables x and y. The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.
Given
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y - 3 = - 2(x + 5) ← distribute right side
y - 3 = - 2x - 10 ( add 3 to both sides )
y = - 2x - 7 ← in slope- intercept form
with y- intercept c = - 7
To know more about equation of line refer to :
https://brainly.com/question/11552995
#SPJ2
What is the probability of drawing three queens from a standard deck of cards, given that the first card drawn was a queen? Assume that the cards are not replaced.
Answer:
The probability of drawing three queens is 1/425
Step-by-step explanation:
* lets talk about the deck cards
- The deck cards has 52 cards
- It has four symbols (heart , diamond , clubs , spades)
- Each symbol has 16 cards (from 1 to 10 and king , queen , princess)
* Lets solve the problem
- We will drawing three cards
- The cards are not replaced
- That means the total of the card will reduce by 1 after each drawing
- The cards will drawing are queens
- The first card drawn will be a queen
∵ The first card drawn is queen
∴ The number of cards for the second drawn is 52 - 1 = 51
∵ There are 4 queens in the deck cards we took one for the first choice
∴ The number of queen for the second choice is 4 - 1 = 3
∴ The probability of second choice is 3/51
- Now there are 2 queens and 50 cards after the second choice
∴ The number of the queen is 3 - 1 = 2
∴ The number of the deck cards is 51 - 1 = 50
∴ The probability of third choice is 2/50
- The probability of the three cards is the product of the two fractions
∴ The probability of drawing three queens = 3/51 × 2/50 = 6/2550
- Simplify the fraction
* The probability of drawing three queens = 1/425
Points A, B, and C form a triangle. Complete the statements to prove that the sum of the interior angles of ΔABC is 180°.
Answer:
∠1 = ∠4 and ∠3 = ∠5 ( alternate interior angle).
Step-by-step explanation:
Given : Triangle ABC with angle 1, 2, 3.
To find : Complete the statements to prove that the sum of the interior angles of ΔABC is 180°.
Solution : We have given that triangle ABC with angle 1, 2, 3.
Here, line DE and AC are parallel and BA is traversal line.
∠1 = ∠4 ( alternate interior angle)
∠3 = ∠5 ( alternate interior angle)
∠4 + ∠2+ ∠5 = 180 ( angle formed on line)
∠1 + ∠2 + ∠3 = 180.
Therefore, ∠1 = ∠4 and ∠3 = ∠5 ( alternate interior angle).
The angles in a triangle add up to 180 degrees.
The text that completes the proof is: alternate interior angle
From the question, we can see that the missing statement is on the 4th line
Where:
[tex]\angle 1 \cong \angle 4[/tex] and [tex]\angle 3 \cong \angle 5[/tex]
From the figure of the triangle, we can see that:
[tex]\angle 1[/tex] and [tex]\angle 4[/tex] are alternate interior angles[tex]\angle 5[/tex] and [tex]\angle 3[/tex] are alternate interior anglesHence, the statement that completes the proof is: alternate interior angle
Read more about the proofs of angles in a triangle at:
https://brainly.com/question/20441035
Please some one help me
Hello There!
To find the quotient of [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{8}[/tex],
we need to multiply by the reciprocal meaning that the fraction
[tex]\frac{3}{4}[/tex] stays the same but we flip the numerator and
denominator for our second fraction so it will end up being
[tex]\frac{8}{1}[/tex] which is the same thing as 8 so the second choice
is your answer.
If f(x) = 4x + 7, which of the following is the inverse of f(x)?
O A. f-'(x) = 4x - 7
O B. f'() = *=4
C. FGx) = 7 - 4x
O D. F"(x) = *z?
For this case we must find the inverse of the following function:
[tex]f (x) = 4x + 7[/tex]
For it:
Replace f (x) with y:
[tex]y = 4x + 7[/tex]
We exchange the variables:
[tex]x = 4y + 7[/tex]
We solve for y:
We subtract 7 on both sides of the equation:
[tex]x-7 = 4y[/tex]
We divide between 4 on both sides of the equation:
[tex]y = \frac {x} {4} - \frac {7} {4}[/tex]
Finally, we change y by[tex]f ^ {- 1} (x)[/tex]:
[tex]f ^ {- 1} (x) = \frac {x} {4} - \frac {7} {4}[/tex]
ANswer:
[tex]f ^ {- 1} (x) = \frac {x} {4} - \frac {7} {4}[/tex]
the inverse function f-1(x) is (x - 7) / 4, which matches option B: f-1(x) = (x / 4) - (7 / 4).
The student asks which of the provided options is the inverse of the function f(x) = 4x + 7. To find the inverse function, we usually swap x and y and then solve for y. The steps to find the inverse are:
Replace f(x) with y: y = 4x + 7.Swap x and y: x = 4y + 7.Solve for y: y = (x - 7) / 4.Therefore, the inverse function f-1(x) is (x - 7) / 4, which matches option B: f-1(x) = (x / 4) - (7 / 4).
Find the least common denominator for these
two rational expressions,
Answer:
(y + 2)²(y + 4)
Step-by-step explanation:
Factor the denominators of both fractions
y² + 4y + 4 = (y + 2)²
y² + 6y + 8 = (y + 2)(y + 4)
The least common denominator is (y + 2)²(y + 4)
Answer:
Step-by-step explanation:
y²+4y+4=(y+2)² =(y+2)(y+2)
y²+6y+8 = (y+2)(y+4)
the least common denominator for these
two rational expressions is : (y+2)²(y+4)
If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to (sºt)(-7)?
Answer:
- 439Step-by-step explanation:
[tex]s(x)=2-x^2,\ t(x)=3x\\\\(s\circ t)(x)=s\bigg(t(x)\bigg)-\text{exchange x to t(x) = 3x:}\\\\(s\circ t)(x)=2-(3x)^2=2-3^2x^2=2-9x^2\\\\(s\circ t)(-7)-\text{put x = -7 to the equation:}\\\\(s\circ t)(-7)=2-9(-7)^2=2-9(49)=2-441=-439[/tex]
Answer:
-439
Step-by-step explanation:
Got it right on edge
What is the value of x if 9x^-1 - 2 = 25
Answer: [tex]x=\frac{1}{3}[/tex]
Step-by-step explanation:
You need to remember the Negative exponent rule:
[tex]a^{-n}=\frac{1}{a^n}[/tex]
Then, having the equation [tex]9x^{-1} - 2 = 25[/tex], you can rewrite it in this form:
[tex]\frac{9}{x} - 2 = 25[/tex]
Now add 2 to both sides of the equation:
[tex]\frac{9}{x} - 2+2 = 25+2\\\\\frac{9}{x}=27[/tex]
Multiply both sides of the equation by "x":
[tex](x)(\frac{9}{x})=27(x)\\\\9=27x[/tex]
And finally divide both sides of the equation by 27.
The value of "x" is:
[tex]x=\frac{9}{27}\\\\x=\frac{1}{3}[/tex]
Answer:
C on edg
Step-by-step explanation:
Giving 20 points please get it right
Answer:
B and C option is the answer to this question
Step-by-step explanation:
for f(x)=3x+1 and get g(x) =x2-6, find (f-g)(x)
Answer:
(f - g)(x) = (3x + 1) - (x2 - 6) = 3x + 1 - x2 + 6 = -x2 + 3x + 7
i hope this helps.
For this case we have the following functions:
[tex]f (x) = 3x + 1\\g (x) = x ^ 2-6[/tex]
We must find[tex](f-g) (x).[/tex]
By definition we have to:
[tex](f-g) (x) = f (x) -g (x)[/tex]
So:
[tex](f-g) (x) = 3x + 1- (x ^ 2-6)\\(f-g) (x) = 3x + 1-x ^ 2 + 6\\(f-g) (x) = - x ^ 2 + 3x + 6 + 1\\(f-g) (x) = - x ^ 2 + 3x + 7[/tex]
Answer:
[tex](f-g) (x) = - x ^ 2 + 3x + 7[/tex]
A line intersects the points (0,-4)and (1,2). What is the slope-intercept equation for this line?
Answer:
y = 6x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, 2)
m = [tex]\frac{2+4}{1-0}[/tex] = 6
note the line crosses the y- axis at (0, - 4) ⇒ c = - 4
y = 6x - 4 ← in slope- intercept form
Solve this equation: 8p = -96
p=
8p = -96
Because that Moderator want me to explain this, so,
devid by 8 from both side:
8p / 8 = -96 / 8
p = -12
And that is the answer:
P = -12
which statement best describes a line in slope intercept form when the coefficient of the x term is negative
Answer:
The angle made by line with positive x axis is more than 90°
Step-by-step explanation:
A line is represented in slope intercept form as
y=mx+c
Where m is called the slope of the line and c is called the y intercept .
Here by slope we means the tangent of the angle , the line makes with the positive x axis .
Now in the case when the coefficient of x is negative , that means the tangent of the angle which line makes with the positive direction of x axis is negative
or
tan [tex]\theta[/tex] = negative
[tex]\theta[/tex] > 90
that means our line makes an obtuse angle that is more than 90° with the positive x axis.
Answer:
the line slants up
Step-by-step explanation:
Let f(x) = 5x-6 and g(x) = 3x-2. Find f(x)+g(x)
Answer:
8x-8
Step-by-step explanation:
Since you are adding the two functions: f(x)+g(x), substitute what they equal into this expression:
5x-6+3x-2
Combine like terms:
5x+3x-6-2
Simplifying gives:
8x-8
Hope this helps!
Which right triangle prism has the greatest volume
Answer:
the second option (9,11,8)
Step-by-step explanation: