1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
arlik [135]
2 years ago
15

Help me please :((: thank u

Mathematics
1 answer:
I am Lyosha [343]2 years ago
6 0

Hey there!

In order for you to find the one that is equivalent to the given expression is to COMBINE YOUR LIKE TERMS then work from there!

12q + q^2 - 8 + q = ?

(q^2) + (12q + q) + (-8)

q^2 = q^2 since it doesn't have any like term(s)

12q + q = 12q + 1q = 13q

-8 = -8 since it doesn't have any like term(s)

Put all the numbers we solved for in An equation and Thats your answer!

If you did it correctly you should have: q^2 + 13q - 8

Answer: q^2 + 13q - 8 ✅

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

You might be interested in
The sign shows distances from a rest stop to the exits for different towns along a straight section of highway. The state depart
torisob [31]
Refer to the diagram shown below.

The exit for Freestone is built midway between Roseville and Edgewood,
therefore the distance from O to the new exit is
(1/2)*(33+55) = 44 mi.

Let x =  distance from Midtown to the new exit.
Because the distance from O to the new exit is equal to (x + 17), therefore
x + 17 = 44
x = 44 - 17 = 27 mi.

Answer:
When the new exit is built, the distance from the exit for Midtown to the exit for Freestone will be 27 miles.

3 0
3 years ago
The lifetime X (in hundreds of hours) of a certain type of vacuum tube has a Weibull distribution with parameters α = 2 and β =
stich3 [128]

I'm assuming \alpha is the shape parameter and \beta is the scale parameter. Then the PDF is

f_X(x)=\begin{cases}\dfrac29xe^{-x^2/9}&\text{for }x\ge0\\\\0&\text{otherwise}\end{cases}

a. The expectation is

E[X]=\displaystyle\int_{-\infty}^\infty xf_X(x)\,\mathrm dx=\frac29\int_0^\infty x^2e^{-x^2/9}\,\mathrm dx

To compute this integral, recall the definition of the Gamma function,

\Gamma(x)=\displaystyle\int_0^\infty t^{x-1}e^{-t}\,\mathrm dt

For this particular integral, first integrate by parts, taking

u=x\implies\mathrm du=\mathrm dx

\mathrm dv=xe^{-x^2/9}\,\mathrm dx\implies v=-\dfrac92e^{-x^2/9}

E[X]=\displaystyle-xe^{-x^2/9}\bigg|_0^\infty+\int_0^\infty e^{-x^2/9}\,\mathrm x

E[X]=\displaystyle\int_0^\infty e^{-x^2/9}\,\mathrm dx

Substitute x=3y^{1/2}, so that \mathrm dx=\dfrac32y^{-1/2}\,\mathrm dy:

E[X]=\displaystyle\frac32\int_0^\infty y^{-1/2}e^{-y}\,\mathrm dy

\boxed{E[X]=\dfrac32\Gamma\left(\dfrac12\right)=\dfrac{3\sqrt\pi}2\approx2.659}

The variance is

\mathrm{Var}[X]=E[(X-E[X])^2]=E[X^2-2XE[X]+E[X]^2]=E[X^2]-E[X]^2

The second moment is

E[X^2]=\displaystyle\int_{-\infty}^\infty x^2f_X(x)\,\mathrm dx=\frac29\int_0^\infty x^3e^{-x^2/9}\,\mathrm dx

Integrate by parts, taking

u=x^2\implies\mathrm du=2x\,\mathrm dx

\mathrm dv=xe^{-x^2/9}\,\mathrm dx\implies v=-\dfrac92e^{-x^2/9}

E[X^2]=\displaystyle-x^2e^{-x^2/9}\bigg|_0^\infty+2\int_0^\infty xe^{-x^2/9}\,\mathrm dx

E[X^2]=\displaystyle2\int_0^\infty xe^{-x^2/9}\,\mathrm dx

Substitute x=3y^{1/2} again to get

E[X^2]=\displaystyle9\int_0^\infty e^{-y}\,\mathrm dy=9

Then the variance is

\mathrm{Var}[X]=9-E[X]^2

\boxed{\mathrm{Var}[X]=9-\dfrac94\pi\approx1.931}

b. The probability that X\le3 is

P(X\le 3)=\displaystyle\int_{-\infty}^3f_X(x)\,\mathrm dx=\frac29\int_0^3xe^{-x^2/9}\,\mathrm dx

which can be handled with the same substitution used in part (a). We get

\boxed{P(X\le 3)=\dfrac{e-1}e\approx0.632}

c. Same procedure as in (b). We have

P(1\le X\le3)=P(X\le3)-P(X\le1)

and

P(X\le1)=\displaystyle\int_{-\infty}^1f_X(x)\,\mathrm dx=\frac29\int_0^1xe^{-x^2/9}\,\mathrm dx=\frac{e^{1/9}-1}{e^{1/9}}

Then

\boxed{P(1\le X\le3)=\dfrac{e^{8/9}-1}e\approx0.527}

7 0
3 years ago
If x=7, what does y equal in the following equation?"
igomit [66]

y = -5

...................

3 0
2 years ago
Read 2 more answers
What is the diameter of a circle if its circumference is 10pie
stealth61 [152]

Answer:

diameter = 3.18

4 0
3 years ago
Read 2 more answers
Frank has devised a formula for his catering business that calculates the number of meatballs he needs to prepare.
timofeeve [1]
Just plug in the numbers into the equation.

m = 4a + 2c

a = adults
c = children
m = meatballs

The information given says there are 25 adults and 5 children. So now:

a = 25
and
c = 5
in the equation m = 4a + 2c


Now plug in the values. 
m = 4(25) + 2(5)
m = 100 + 10
m = 110

This means that 110 meatballs are required for 25 adults and 5 children. 
8 0
3 years ago
Other questions:
  • I need help<br> with this
    6·1 answer
  • Draw in radii OK and NL. Since OK and JK are radii of the same circle, they are _________. This means that OK = 12. Add the leng
    6·1 answer
  • Which equation is equivalent to (2x^2+4x-7)(x-3)
    11·1 answer
  • Are the fractions 1/2 and 3/8 equivalent fractions
    14·2 answers
  • How can you find 4 x 754 using two different methods
    14·1 answer
  • A committee of 2 people is to be chosen from 5 women and 5 men. What is the probability at least one man was chosen given at lea
    15·2 answers
  • X + y = -2<br> -x + y = 6<br> Solve the linear system
    7·1 answer
  • Calculate the slope of the line that goes through the points (2, 0) and (−4, 6)
    8·2 answers
  • Can you help me solve this?<br><br> 6 ÷ 2(1+2) = ?
    15·1 answer
  • Pls we only need part B to pass this subject
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!