Answer: answer is -7
Step-by-step explanation:
Step-by-step explanation:
Original Equation;
1x=7(x+6)
Multiply the 7 by the x and 6
1x=7x+42
Group like terms
1x-7x=42
-6x=42(Divide both sides by -6)
x= -7 (We have -7 because 42 can be divided by 6 7 times)
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:
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)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.
fill in the blanks thanks
Answer:
Um threre is no blanks or there is no question.
Step-by-step explanation:
After 10 years, the principal on this mortgage is $136,683. How much of the next payment will go towards interest
Answer:
26123 is the answer have a good day
Enter the value of the expression p(12+q)−3
p
(
1
2
+
q
)
−
3
when p = 4 and q=34
q
=
3
4
.
Answer:
=pq+12p
Step-by-step explanation:
p(12+q)
=(p)(12+q)
=(p)(12)+(p)(q)
=12p+pq
Answer:
Its 2
Step-by-step explanation:
Just did this, please give brainliest!
1. Determine the intervals on which each function is increasing or
decreasing
(a) f(x) = x^3 - 11/2x^2 - 4x
Answer:
[tex]\text{$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]
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
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
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:
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]
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
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
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
Factor by Grouping
2y2 + 7yz + 5z2
The weekly amount spent by a small company for in-state travel has approximately a normal distribution with mean $1450 and standard deviation $220. What is the probability that the actual expenses will exceed $1560 in 20 or more weeks during the next year?
Answer:
0.0903
Step-by-step explanation:
Given that :
The mean = 1450
The standard deviation = 220
sample mean = 1560
[tex]P(X > 1560) = P( Z > \dfrac{x - \mu}{\sigma})[/tex]
[tex]P(X > 1560) = P(Z > \dfrac{1560 - 1450}{220})[/tex]
[tex]P(X > 1560) = P(Z > \dfrac{110}{220})[/tex]
P(X> 1560) = P(Z > 0.5)
P(X> 1560) = 1 - P(Z < 0.5)
From the z tables;
P(X> 1560) = 1 - 0.6915
P(X> 1560) = 0.3085
Let consider the given number of weeks = 52
Mean [tex]\mu_x[/tex] = np = 52 × 0.3085 = 16.042
The standard deviation = [tex]\sqrt {n \time p (1-p)}[/tex]
The standard deviation = [tex]\sqrt {52 \times 0.3085 (1-0.3085)}[/tex]
The standard deviation = 3.3306
Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.
Then;
Pr ( Y > 20) = P( z > 20)
[tex]Pr ( Y > 20) = P(Z > \dfrac{20.5 - 16.042}{3.3306})[/tex]
[tex]Pr ( Y > 20) = P(Z >1 .338)[/tex]
From z tables
P(Y > 20) [tex]\simeq[/tex] 0.0903
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.
How much would 7 bottles of water cost
Answer:
$5.25
Step-by-step explanation:
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:
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
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?
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.
What is the y-intercept?
Somebody help me answer the question please
Answer:
yes i have finished it done
Step-by-step explanation:
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
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
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
Fred can paint a 30-foot fence in 5 hours. Which of the following is true?
Answer:
lol
Step-by-step explanation: