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inysia [295]
3 years ago
13

Consider the system of equations.

Mathematics
1 answer:
torisob [31]3 years ago
3 0

Answer:

the second equation converted to slope-intercept form is y = -1/3x -1

Step-by-step explanation:

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Find the Range and Domain of the Binary relations
sukhopar [10]

Answer:

A = {3,5,6}

B = {1,3}

<u><em>A x B</em></u> = {(3,1),(3,3),(5,1),(5,3),(6,1),(6,3)}

Domain of A x B = (The x figures in ascending order)

=> {3,5,6}     (Figures repeating more than once must be written only 1 time)

Range of A x B = (The y figures in ascending order)

=> {1,3}

<u><em>B x A </em></u>= {(1,3),(3,3),(1,5),(3,5),(1,6),(3,6)}

Domain of B x A = {1,3}

Range of A x B = {3,5,6}

8 0
3 years ago
Use the distance formula and the Pythagorean theorem to find the distance,to the nearest tenth,between each pair of points
MrMuchimi
I think you should use the formula
4 0
3 years ago
The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?
VARVARA [1.3K]

Answer:

\displaystyle    - 155

Step-by-step explanation:

we are given a quadratic function

\displaystyle f(x) =  - 5 {x}^{2}  + 30x - 200

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

\displaystyle x _{ \rm  min} =  \frac{ - b}{2a}

the given function is in the standard form i.e

\displaystyle f(x) = a {x}^{2}  + bx + c

so we acquire:

  • b=30
  • a=-5

thus substitute:

\displaystyle x _{ \rm  min} =  \frac{ - 30}{2. - 5}

simplify multiplication:

\displaystyle x _{ \rm  min} =  \frac{ - 30}{ - 10}

simply division:

\displaystyle x _{ \rm  min} =  3

plug in the value of minimum x to the given function:

\displaystyle f (3)=  - 5 {(3)}^{2}  + 30.3 - 200

simplify square:

\displaystyle f (3)=  - 5 {(9)}^{}  + 30.3 - 200

simplify multiplication:

\displaystyle f (3)=  - 45  + 90- 200

simplify:

\displaystyle f (3)=   - 155

hence,

the minimum value of the function is -155

5 0
3 years ago
Bob sleeps for 9 houres a day how many hours does Bob sleep for a year
DochEvi [55]
If bob sleeps for 9 hours a day and 9 x 365 is 3,285. He sleeps for 3,285 hours a year
8 0
3 years ago
Read 2 more answers
99 POINT QUESTION, AND BRAINLIEST!!!
77julia77 [94]
\displaystyle\int_{x=1}^{x=14}\frac{1-\cos4x}{4x-\sin4x}\,\mathrm dx

First, replace y=4x and \mathrm du=4\,\mathrm dx. Then you have

\displaystyle\frac14\int_{y=4}^{y=56}\frac{1-\cos y}{y-\sin y}\,\mathrm dy

If we take z=y-\sin y, then immediately we see a differential in the numerator in the form of \mathrm dz=(1-\cos y)\,\mathrm dy. So the integral becomes

\displaystyle\frac14\int_{z=4-\sin4}^{z=56-\sin56}\frac{\mathrm dz}z

and evaluates to

\dfrac14\ln|z|\bigg|_{z=4-\sin4}^{z=56-\sin56}=\dfrac14\left(\ln|56-\sin56|-\ln|4-\sin4|\right)=\dfrac14\ln\left|\dfrac{56-\sin56}{4-\sin4}\right|

making (A) the correct answer.
4 0
3 years ago
Read 2 more answers
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