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Scrat [10]
3 years ago
11

Given f(x)=5/2x+7,if f(x)=-13 find x pls show work

Mathematics
2 answers:
Jlenok [28]3 years ago
8 0

Answer:

The value of x = -1/8

Step-by-step explanation:

Given

f\left(x\right)=\frac{5}{2x}+7

f(x)=-13

To determine

The value of x = ?

Using the function

f\left(x\right)=\frac{5}{2x}+7

substituting f(x) = -13 in the function

-13=\frac{5}{2x}+7

Subtract 7 from both sides

-13-7=\frac{5}{2x}+7-7

Simplify

-20=\frac{5}{2x}

Multiply both sides by 2x

-20\cdot \:2x=\frac{5}{2x}\cdot \:2x

Simplify

-40x=5

Divide both sides by -40

\frac{-40x}{-40}=\frac{5}{-40}

x=-\frac{1}{8}

Therefore, the value of x = -1/8

alina1380 [7]3 years ago
4 0

Answer:

x=-25.5

Step-by-step explanation:

5/2(-13) +7=-25.5

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Solve 5y'' + 3y' – 2y = 0, y(0) = 0, y'(0) = 2.8 y(t) = 0 Preview
mario62 [17]

Answer:  The required solution is

y(t)=-\dfrac{7}{3}e^{-t}+\dfrac{7}{3}e^{\frac{1}{5}t}.

Step-by-step explanation:   We are given to solve the following differential equation :

5y^{\prime\prime}+3y^\prime-2y=0,~~~~~~~y(0)=0,~~y^\prime(0)=2.8~~~~~~~~~~~~~~~~~~~~~~~~(i)

Let us consider that

y=e^{mt} be an auxiliary solution of equation (i).

Then, we have

y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.

Substituting these values in equation (i), we get

5m^2e^{mt}+3me^{mt}-2e^{mt}=0\\\\\Rightarrow (5m^2+3y-2)e^{mt}=0\\\\\Rightarrow 5m^2+3m-2=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow 5m^2+5m-2m-2=0\\\\\Rightarrow 5m(m+1)-2(m+1)=0\\\\\Rightarrow (m+1)(5m-1)=0\\\\\Rightarrow m+1=0,~~~~~5m-1=0\\\\\Rightarrow m=-1,~\dfrac{1}{5}.

So, the general solution of the given equation is

y(t)=Ae^{-t}+Be^{\frac{1}{5}t}.

Differentiating with respect to t, we get

y^\prime(t)=-Ae^{-t}+\dfrac{B}{5}e^{\frac{1}{5}t}.

According to the given conditions, we have

y(0)=0\\\\\Rightarrow A+B=0\\\\\Rightarrow B=-A~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

and

y^\prime(0)=2.8\\\\\Rightarrow -A+\dfrac{B}{5}=2.8\\\\\Rightarrow -5A+B=14\\\\\Rightarrow -5A-A=14~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{Uisng equation (ii)}]\\\\\Rightarrow -6A=14\\\\\Rightarrow A=-\dfrac{14}{6}\\\\\Rightarrow A=-\dfrac{7}{3}.

From equation (ii), we get

B=\dfrac{7}{3}.

Thus, the required solution is

y(t)=-\dfrac{7}{3}e^{-t}+\dfrac{7}{3}e^{\frac{1}{5}t}.

7 0
3 years ago
The n candidates for a job have been ranked 1, 2, 3,…, n. Let X 5 the rank of a randomly selected candidate, so that X has pmf p
Anon25 [30]

Answer:

A. E(x) = 1/n×n(n+1)/2

B. E(x²) = 1/n

Step-by-step explanation:

The n candidates for a job have been ranked 1,2,3....n. Let x be the rank of a randomly selected candidate. Therefore, the PMF of X is given as

P(x) = {1/n, x = 1,2...n}

Therefore,

Expectation of X

E(x) = summation {xP(×)}

= summation {X×1/n}

= 1/n summation{x}

= 1/n×n(n+1)/2

= n+1/2

Thus, E(x) = 1/n×n(n+1)/2

Value of E(x²)

E(x²) = summation {x²P(×)}

= summation{x²×1/n}

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3 0
3 years ago
John mows 247 square feet of lawn per minute. how many square yards of lawn does he mow per hour?
Black_prince [1.1K]
1647. 1 hour=60 minutes. John can mow 247 square feet per minute, so he can mow 60*247=14820 square feet per hour. 1 yard=3 feet, so 1 square yard =3^2=9 square feet, so in the same duration of time, John can mow 14820/9=1647 square yards (approximately) per hour. 
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art supplies in washington DC cost 28 dollars if the sales tax is 6 percent what was the total cost of supplies
vova2212 [387]
(28 : 100) *6 = 1.68 (tax)

28 + 1.68 = 29.68 (total cost)
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The quantity demanded x for a product is inversely proportional to the cube of the price p for p > 1. When the price is $10 p
LenaWriter [7]
Q(p) = k/p^3 . . . . . . . . we want to find k
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Profit = Revenue -Cost = 64000/p^2(1 -2/p) -150

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A price of $3 per unit will yield a maximum profit.

7 0
3 years ago
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