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3 years ago

15

a function is defined by the equation y=8x-3. if the domain is2<_x<_4, what is the range of this function

1 answer:

pishuonlain [190]3 years ago

7 0

$y(2)=8\cdot2-3=16-3=13\\
y(4)=8\cdot4-3=32-3=29\\$

The range is $13\leq y \leq 29$

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1. Look for a pattern in the first three equations. Then, fill in the missing numbers in the rest of the

Alla [95]

Answer:

1=1 times 2/2 1 + 2=2 times 3/2 1 +2+3=3 times 4/2 1+2+3+4=4 times 5/2 1+2+3+4+5=5 times 6/2

4 0

2 years ago

Solve the following differential equation: (1− 5 y +x) dy/dx +y= 5/x −1 .<br><br> C=

Ganezh [65]

Answer:

$y(1+x)+x-5\ln xy=C$

Step-by-step explanation:

Consider the given differential equation is

$(1-\frac{5}{y}+x)\frac{dy}{dx}+y=\frac{5}{x}-1$

$(1-\frac{5}{y}+x)\frac{dy}{dx}=\frac{5}{x}-1-y$

$(1-\frac{5}{y}+x)dy=(\frac{5}{x}-1-y)dx$

Taking all variables on right sides.

$(1-\frac{5}{y}+x)dy-(\frac{5}{x}-1-y)dx=0$

$(-\frac{5}{x}+1+y)dx+(1-\frac{5}{y}+x)dy=0$

Let as assume,

$M=-\frac{5}{x}+1+y$ and $N=1-\frac{5}{y}+x$

Find partial derivatives $\frac{\partial M}{\partial y}$ and $\frac{\partial N}{\partial x}$

$\frac{\partial M}{\partial y}=1$ and $\frac{\partial N}{\partial x}=1$

Since $\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$ , therefore the given differential equation is exact.

The solution of the exact differential equation is

$\int Mdx+\int N(\text{without x)}dy=C$

$\int (-\frac{5}{x}+1+y)dx+\int (1-\frac{5}{y})dy=C$

$yx-5\ln x+x+y-5\ln y=C$

$y+x+xy-5\ln x-5\ln y=C$

$y(1+x)+x-5(\ln x+\ln y)=C$

$y(1+x)+x-5\ln xy=C$

7 0

3 years ago

The scale on a map that 5 centimeters = 2 kilometers

spin [16.1K]

So that is what we call a ratio and it looks like this
$\frac{5cm}{2km} \\$

3 0

3 years ago

Sphere a has a radius of 2cm. Sphere b has a radius of 4cm. Calculate the volume of sphere a.

kykrilka [37]

Answer:

sphere a: 33.51 and sphere b: 268.08

Step-by-step explanation:

math

6 0

2 years ago

No explanation needed just the answer please

Otrada [13]

Answer:

53

Step-by-step explanation:

65x- 12 = 43x + 10

65x - 43x = 10 + 12

22x = 22

x = 22/22

<u>x = 1 </u>

(65x- 12) =

65 * 1 - 12 =<u> 53</u>

43x + 10

43 * 1 -12 = <u>53</u>

5 0

3 years ago