Answer:
Prove what is similar?????
Manny rolls a number cube labeled 1-6 and spins a spinner with four equal sections, labeled 1, 2, 3, and 4. If both numbers are odd, he wins. Otherwise, Gabriel wins. Use a list to find the sample space. Then find the probability that Gabriel wins.
a.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
b.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
c.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
d.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
Answer:
b
Step-by-step explanation:
Answer:
b.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
Step-by-step explanation:
IT'S B
1. Determine the intervals on which each function is increasing or
decreasing
(a) f(x) = x^3 - 11/2x^2 - 4x
Answer:
[tex]\text{$f(x)$ is increasing for $(-\infty, -\frac{1}{3})$ and $(4, \infty)$} \\ \text{$f(x)$ is decreasing for $(-\frac{1}{3}, 4)$}[/tex]
Step-by-step explanation:
We have the function:
[tex]f(x)=x^3-\frac{11}{2}x^2-4x[/tex]
And we want to determine the intervals for which the function is increasing or decreasing.
We will need to first find the critical points of the function. Note that our original function is continuous across the entire x-axis.
To find the critical points, we need to find the first derivative and then solve for the x. So:
[tex]f^\prime(x)=\frac{d}{dx}[x^3-\frac{11}{2}x^2-4x][/tex]
Differentiate:
[tex]f^\prime(x)=(3x^2)-\frac{11}{2}(2x)-(4) \\ f^\prime(x)=3x^2-11x-4[/tex]
Set the derivative equal to 0 and solve for x:
[tex]0=3x^2-11x-4[/tex]
Factor:
[tex]0=3x^2-12x+x-4 \\ 0=3x(x-4)+(x-4) \\ 0=(3x+1)(x-4)[/tex]
Zero Product Property:
[tex]3x+1=0\text{ or } x-4=0 \\ x=-\frac{1}{3}\text{ or } x=4[/tex]
Therefore, our critical points are -1/3 and 4.
We can thus sketch the following number line:
<————-(-1/3)——————————————(4)—————>
Now, let’s test values for the three intervals: less than -1/3, between -1/3 and 4, and greater than 4.
For less then -1/3, we can use -1. So, substitute -1 for x for our first derivative and see which we get:
[tex]f^\prime(-1)=3(-1)^2-11(-1)-4=3+11-4=10>0[/tex]
The result is positive.
Therefore, for all numbers less than -1/3,f(x) is increasing (since its derivative is positive).
For between -1/3 and 4, we can use 0. Substitute 0 for our derivative:
[tex]f^\prime(0)=3(0)^2-11(0)-4=-4<0[/tex]
The result is negative.
Therefore, for all numbers between -1/3 and 4, f(x) is decreasing (since its derivative is negative).
And finally, for greater than 4, we can use 5:
[tex]f^\prime(5)=3(5)^2-11(5)-4=16>0[/tex]
The result is positive.
Therefore, for all numbers greater than 4, f(x) is increasing (since its derivative is positive.
Therefore:
[tex]\text{$f(x)$ is increasing for $x<-\frac{1}{3}$ and $x>4$}\\ \text{ $f(x)$ is decreasing for $-\frac{1}{3}<x<4$}[/tex]
In interval notation:
[tex]\text{$f(x)$ is increasing for $(-\infty, -\frac{1}{3})$ and $(4, \infty)$} \\ \text{$f(x)$ is decreasing for $(-\frac{1}{3}, 4)$}[/tex]
Replace the with <, >, or = to make the statement true.
5 0-3
5>0-3
Step By Step- 5 is greater than 0-3 because 0-3 would equal a negative number, and all positive numbers are greater than negative numbers
Answer:
5>0-3
Step-by-step explanation:
4 hours worked for $12; 7 hrs worked for $28 are the pair of ratios equal?
Answer:
no they're not equal
Step-by-step explanation:
you can find the ratio by dividing 12/4 and 28/7. 12/4 = 3 and 28/7 = 4. 3 and 4 are not equal, so no.
0.5x = 3
What is the value of x?
Answer:
x = 6
Step-by-step explanation:
To solve this equation, we need to isolate x. To do that, we need to divide both sides of the equation by 0.5. That gives us:
0.5x=3
x=3/0.5 = 6
Answer:
x=6
Step-by-step explanation:
0.5x÷0.5=3÷0.5
x=3÷0.5
x=6
I need help with this can someone help me I have a few other ones as well I don’t understand anyone?
Answer:
x=59
Step-by-step explanation:
The sum of the interior angles of a triangle add up to 180 degrees. That means that (x+12)+(x)+(x-9)=180 degrees in total. If we combine the like terms (combine the xs and regular constant values), the xs add up to 3x (x+x+x) and the regular constants add up to 3 (12+-9=3). If we rewrite this in a more simplified form, we get 3x+3=180. Subtract 3 on both sides to get 3x=177 because we want to isolate x. 3x=177 divide 3 on both sides and we get 59. x=59
Somebody help me answer the question please
Answer:
yes i have finished it done
Step-by-step explanation:
What is the equation of the line that passes through the point (5,2) and has a slope
of -3/5
Answer:y = -0.6x + 5
Step-by-step explanation:
Answer:
yessir the one on top is right btw
Step-by-step explanation:
hope this helped
6x² – x=2
Factor and solve
Answer:
x=2/3 or x=−1/2
Step-by-step explanation:
6x²−x=2
6x²−x−2=2−2
6x²−x−2=0
(3x−2)(2x+1)=0
3x−2=0 or 2x+1=0
x=2/3 or x=−1/2
In a direct variation, y= -1/6 when x=4/3. Write a direct variation equation that shows the relationship between x and y.
Please answer ASAP!
Answer: y = 3x
Step-by-step explanation: For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.
Determine an expression for dy
dx given that x = sin3
(t)andy = cos3
(t)
Answer:
[tex]\frac{dy}{dx} =-\sqrt[3]{\frac{y}{x} }[/tex]
Step-by-step explanation:
Recall that using the chain rule we can state:
[tex]\frac{dy}{dt} =\frac{dy}{dx}*\frac{dx}{dt}[/tex]
and therefore solve for dy/dx as long as dx/dt is different from zero.
Then we find dy/dt and dx/dt,
Given that
[tex]x=sin^3(t)\\dx/dt = 3 sin^2(t)* cos(t)[/tex]
And similarly:
[tex]y=cos^3(t)\\dy/dt=-3\,cos^2(t)*sin(t)[/tex]
Therefore, dy/dx can be determined by the quotient of the expressions we just found:
[tex]\frac{dy}{dx} =\frac{dy/dt}{dx/dt} =\frac{-3\,cos^2(t)*sin(t)}{3\,sin^2(t)*cos(t)} =-\frac{cos(t)}{sin(t)}[/tex]
now notice that we can find [tex]cos(t) = \sqrt[3]{y}[/tex] from the expression for y,
and [tex]sin(t) = \sqrt[3]{x}[/tex] from its expression for x.
Therefore dy/dx can be written in terms of x and y as:
[tex]\frac{dy}{dx} =-\frac{cos(t)}{sin(t)}=-\sqrt[3]{\frac{y}{x} }[/tex]
Juan's book has 248 pages this is 10 more pages than there are in Kevin's book how many pages are in Kevin's book
Answer:
238
Step-by-step explanation:
juans has 10 more than kevin's, so you just subtract 10 from 248, getting 238
How many ways are there to pick 5 people from a committee be of 9 people?
Answer: 3024 ways
Step-by-step explanation: 9*8*7*6*5=3024
y= -2x+8
what is the value of y when 0 is the value of x?
Not sure what you mean but will be explaining about y = 0 and x =0 anyway.
So for x = 0, that means the value of x is 0.
y = -2(0)+8
y=0+8
y=8
So when x = 0, the value of y is 8 (y = 8) or we can write (0,8)
For y = 0, that means the value of y is 0.
0=-2x+8
-8=-2x
-2x=-8
x=4
So when y = 0, x = 4. We can write as (4,0)
What is 8 divide 1/5?
What is 8 divide by 1/5
Answer:
40
Step-by-step explanation:
What’s the answer to this? (2 * 198) - 1073 + 20/92 divided by 173/28
Answer:
if you have and piece of clothing that was left behind.
Step-by-step explanation:
Find the slope of the line that passes
through these two points.
Answer:
1/5
Step-by-step explanation:
[tex]\frac{2-1}{3--2} = \frac{1}{5}[/tex]
Answer: 1/5
Step-by-step explanation: Following our hint,
let's start with the slope formula.
m = y₂ - y₁ / x₂ - x₁
We take the second y minus the first y over the second x minus the first x.
So we have m = 2 - 1 / 3 - (-2) or 1 / 5.
So our slope is 1/5.
Write the equation of a line parallel to the line y=2x
Answer:
to create an equation that is parallel to a line, you keep the slope or rate of change the same, all you do is change the y intercept. so you have to keep
y = 2x, but then you can add any number to the end.
Can someone solve this equation for me? 34 + 12x = 3x - 22
Thanks. Any help is appreciated! :)
Answer: x= -56/9
Step-by-step explanation:
34+12x=3x-22
Subtract 12x from both sides
34=-9x-22
Add 22 to both sides
56=-9x
Divide -9 by both sides to get x alone
56/-9=x
So
x=-56/9
fill in the blanks thanks
Answer:
Um threre is no blanks or there is no question.
Step-by-step explanation:
Solve for x
Enter the solutions from least to greatest.
(x – 7)(-4x − 2) = 0
lesser x =
greater x =
Answer:
X= -1/2 X= 7
Answer:
lesser x= -5 Greater X= 5
Step-by-step explanation:
−x
2
−8
−x
2
x
2
=−33
=−25
=25
Hint #22 / 3
Now we can take the square root of both sides, not forgetting to take both the positive and negative roots of the right-hand side:
\begin{aligned} \sqrt{x^2}&=\sqrt{25} \\\\ x&=\pm 5 \end{aligned}
x
2
x
=
25
=±5
Hint #33 / 3
In conclusion,
\begin{aligned} \text{lesser }x &= -5 \\\\ \text{greater } x &= 5 \end{aligned}
lesser x
greater x
=−5
=5
Write an equivalent addition expression to : -10 – (-4)
Answer:
-6
Step-by-step explanation:
-10-(-4)=-1+4=-6
Hope this helps plz mark brainliest ;D
Find the surface area of the figure L=6 W=15 H=4
A. 154 m2
B. 308 m2
C. 203 m2
D. 357 m2
Answer:
Step-by-step explanation:
Given
L=6
W=15
H=4
Solution surface area of the figure=2(lb+bh+hl)
=2(6×15+15×4+4×6)
=2(90+60+24)
=2(174)
=348m^2
After 10 years, the principal on this mortgage is $136,683. How much of the next payment will go towards interest
Answer:
26123 is the answer have a good day
Fred can paint a 30-foot fence in 5 hours. Which of the following is true?
Answer:
lol
Step-by-step explanation:
Consider the transformations performed on quadrilateral WXYZ.
. Translate 7 units to the right and 4 units up.
• Then, rotate 180° about the origin.
Do yk the answer ? Now ?
Answer:
(-4, -5)Step-by-step explanation:
Point Z has coordinates: (-3, 1)
Translate 7 units to the right and 4 units up: (x + 7, y + 4)
Z(-3, 1) → Z'(-3 + 7, 1 + 4) = (4, 5)Then, rotate 180° about the origin: (x, y) → (-x, -y)
Z'(4, 5) → Z''(-4, -5)Find the distance between E(5,3) and F(-4,3).
Answer:
3 - 3 = 0 units There is no distance, the points are in the same place.
Step-by-step explanation:
WILL GIVE BRAINLIEST Katya is wanting to put artificial turf in her back yard. Her yard is 20 feet by 30 feet. She figures that she will need the drainage rock under the turf to be 1 foot deep. She goes to the home improvement store and sees the following signs for rock. What is the unit rate of brand B?
Factor by Grouping
2y2 + 7yz + 5z2
Which expression is equivalent to 4x+6y-8x
Answer:The expression is 6y - 4x
Step-by-step explanation:
Answer:
-4x+6y
Step-by-step explanation:
4x+6y-8x4
(4x-8x)+6y
−4x+6y