graph the linear function. g(x)=2/5x-3​

Answer:

y = 5x + 5

Step-by-step explanation:

the slope to be parallel y = 5x + 7 must still be 5. To make the line pass through T, the given point, you plug (-2, -5) into the y= mx + b formula. This becomes( -5 )= 5 (-2) + B, and you solve for b. In this equation, b = 5.

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)[/tex]

Let assume that

[tex]\rm :\longmapsto\:y = {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)[/tex]

We know,

[tex]\boxed{\tt{ {cosec}^{ - 1}x = {sin}^{ - 1}\bigg( \dfrac{1}{x} \bigg)}}[/tex]

So, using this, we get

[tex]\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2x}{1 + {x}^{2} } \bigg)[/tex]

Now, we use Method of Substitution, So we substitute

[tex] \red{\rm :\longmapsto\:x = tanz \: \rm\implies \:z = {tan}^{ - 1}x}[/tex]

So, above expression can be rewritten as

[tex]\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2tanz}{1 + {tan}^{2} z} \bigg)[/tex]

[tex]\rm :\longmapsto\:y = sin^{ - 1} \bigg( sin2z \bigg)[/tex]

[tex]\rm\implies \:y = 2z[/tex]

[tex]\bf\implies \:y = 2 {tan}^{ - 1}x[/tex]

So,

[tex]\bf\implies \: {cosec}^{ - 1}\bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = 2 {tan}^{ - 1}x[/tex]

Thus,

[tex]\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)[/tex]

[tex]\rm \:  =  \: \dfrac{d}{dx}(2 {tan}^{ - 1}x)[/tex]

[tex]\rm \:  =  \: 2 \: \dfrac{d}{dx}( {tan}^{ - 1}x)[/tex]

[tex]\rm \:  =  \: 2 \times \dfrac{1}{1 + {x}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{2}{1 + {x}^{2} } [/tex]

Hence,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = \frac{2}{1 + {x}^{2} }}}}[/tex]

Hence, Option (d) is correct.

Answer:

watching game= 3 hours

practicing free throw= 2 hours

lifting weight=1 hour

Answer:

Step-by-step explanation:whtyui

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helllooooooo

Answer:

12 miles

Step-by-step explanation:

42÷7=6

6×2=12

Good luck!

Answer:

12 miles on 2 gallons of gasoline

Step-by-step explanation:

First, we need to find the unit rate and that can simply be found by dividing.

So we divide 42 miles by 7 gallons which equal 6.

So we know for every One gallon there is 6 miles. So we simply multiply 6 and 2 and we get an answer of 12 miles.

So therefore the answer is a boat can travel 12 miles on 2 gallons of gasoline.

Answer:

24.73

Step-by-step explanation:

h=63.4+2.41f

h=123

123=63.4+2.41f

59.6=2.41f

24.73=f

If the value of h is 123. Then the length of the femur will be 24.73 centimeters.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

h = 63.4 + 2.41 f

Where h represents the expected height in centimeters and f represents the length of the femur in centimeters.

If the value of h is 123. Then the f-value is given as,

123 = 63.4 + 2.41 f

2.41 f = 59.60

f = 24.73 cm

Assuming that the worth of h is 123. Then, at that point, the length of the femur will be 24.73 centimeters.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

85 YARDS.

HOPE IT HELPS YOU

Answer:

0.009

Step-by-step explanation:

The 9 is in the thousandths place, so just round.

Answer: 0.009

Step-by-step explanation:

the third place after the decimal is the thousandths place therefore you leave the number in that position in the final answer

Answer:

z=35.1

Step-by-step explanation:

Answer:

z = 351/10 or z = 35.1

Step-by-step explanation:

*Add/subtract numbers: -49 + 851 = 802

z + 802 = 100 + 21z

*Subtract 802 from both sides

z + 802 - 802 = 100 + 21z - 802

*Simplify

z = 21z - 702

*Subtract 21z from both sides

z - 21z = 21z - 702 - 21z

*Simplify

-20z = -702

*Divide both sides by -20

- 20z/20 = - 702/- 20

*Simlify

z = 351/10 or z = 35.1

Answer: 281.20

Step-by-step explanation:

12,795-795=3515

take 8 percent of that and you get 281.20

Answer:

25 = units Jose travelled

Jh to Th = x moves 12 across  

and y moves 0 is constant (up/down or constant)

Th to FF = x moves 0 stays constant and y moves 13 left

12 + 13 = 25

The purpose of this exercise is concerning parabolas = curve equations

x has two points x = -6 and x = 6

y has two points y = -5 and y = 8

however we cant plot this as ANSWER without using all the coordinates

y has one answer unit at 13 and not shown in an equation if it was the y intercept or curve mid point it would be a straight line and not a curve at 13 we can therefore set y to zero 0 as mid point curve when drawing the curve.

Then to find the each unit change we could prove with straight line upon the parabola by first using the straight line equation formula y-y1 = m(x+x1)

Straight line equation

Plug in Jose's coordinates given in the question.

Therefore y - - 6 = 6 (x + 8 ) = y+6 = 6x + 46  multiply out

= y+6 = 6x + 46 -6 cancel out with -6

= y = 6x+40

the answer therefore becomes  y=6x+40

Plug in the same for Tyrell coordinates given in the question.

y - 6 = -6 (x + 8 ) = y-6 = -6x + 46  multiply out

= y-6 = -6x - 46 + 6 cancel out with +6

= y = -6x+52

and is a decrease of 6 i various ways.  

Plug in for Football field coordinates given in the question.

y-6 = -6(x -5)

= y -6 = -6x +30

= y = -6x + 30+6

= y = -6x + 36

Shows constant 6 and -6 for m the slope and 46-36 = 10 decrease each side from 0 being the curve mid point on x line. down into the mid curve |

= 10+10 to represent each side = 20 then +5 = 25

As the shift in the curve makes negative positive and positive negative.

= 25 units

Answer:

Hi there!

The vertex form equation is y=a(x-d)^2+c where the vertex is (d, c).

The vertex is always the turning point when the y-values start to travel in the opposite direction from which they began traveling on the opposite side of the turning point. Therefore the point (4, -4) is the vertex.  

y=a(x-4)^2-4

We can sub in a point on the graph in order to solve for the a-value. Let's use (6, 0), and sub that in for x and y.

0=a(6-4)^2-4

0=a(2)^2-4

4=4a

a=4/4

a=1

Therefore the equation is y=(x-4)^2-4

Hope this helps!

Step-by-step explanation:

Answer:

Since a and b are parallel

Step-by-step explanation:

2x+27=3x - 27

collect the like terms

3x-2x=27+27

x=54

PLS MARK BRAINLIEST

Answer:

x = 54

Step-by-step explanation:

If the lines are treated as parallel , then

(3x - 27) and (2x + 27) are alternate exterior angles and congruent, so

3x - 27 = 2x + 27 ( subtract 2x from both sides )

x - 27 = 27 ( add 27 to both sides )

x = 54

For a and b to be parallel then x = 54

Answer:

[tex](5, -5/2)[/tex]

Step-by-step explanation:

The midpoint of any line segment is the average of the x- and y-values of the two endpoints.

Therefore, the midpoint of [tex]AB[/tex] is [tex]((3+7)/2, (-8+3)/2)=(10/2, -5/2)=(5, -5/2)[/tex].

So, the answer is [tex]\boxed{(5, -5/2)}[/tex] and we're done!

Answer:

x = 1/5

Step-by-step explanation:

2x − 4 + 2x = −6x −2

Combine the like terms (2x)

Result:

4  −  4  =  − 6  − 2

Add 4 to both sides:

4 −  4 + 4  = − 6 −  2 + 4

Result:

4 = − 6 + 2

Add 6x to both sides.

4  +  6  = − 6  +  2  +  6

Result:

1 0 = 2

Divide both sides by 10:

1 0 / 1 0 = 2/ 1 0

Result:

x = 1/5

Therefore, x = 1/5 would be your answer.

-kiniwih246

Answer: y=-8x+2

Explanation: Slope intercept form is y=mx+b

Plug -8 in for m, and -2 in for b to get y=-8x+2

Answer:

32.7. 0.7 is a tenth already

32.7. 7 is greater than 5.

round to 38

Step-by-step explanation:

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

Further given that,

It means

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ Perimeter_{[square]} \: = \: 4 \times side \: }}}[/tex]

So, using this, we have

[tex]\rm :\longmapsto\:4x + 4y = 52[/tex]

[tex]\rm :\longmapsto\:4(x + y) = 52[/tex]

[tex]\rm\implies \:\boxed{\tt{ x + y = 13}} - - - - (1)[/tex]

Now, Further given that,

If square EFGH is cutting out from square ABCD, the area of remaining part is 91 square cm.

It means

[tex]\rm :\longmapsto\:Area_{[ABCD]} - Area_{[EFGH]} = 91[/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ Area_{[square]} = 4 \times side}}}[/tex]

So, using this, we get

[tex]\rm :\longmapsto\: {x}^{2} - {y}^{2} = 91[/tex]

can be further rewritten as using algebraic Identity,

[tex]\rm :\longmapsto\:(x + y)(x - y) = 91[/tex]

[tex]\rm :\longmapsto\:13(x - y) = 91[/tex]

[tex]\red{ \bigg\{  \sf \: \because \: using \: equation \: (1) \bigg\}}[/tex]

[tex]\rm\implies \:\boxed{\tt{ x - y = 7}} - - - - (2)[/tex]

On adding equation (1) and (2), we get

[tex]\rm :\longmapsto\:2x = 13 + 7[/tex]

[tex]\rm :\longmapsto\:2x = 20[/tex]

[tex]\rm\implies \:\boxed{ \: \bf \: \: x \: = \: 10 \:cm \: \: }[/tex]

On substituting the value of x in equation (1), we have

[tex]\rm :\longmapsto\:10 + y = 13[/tex]

[tex]\rm :\longmapsto\:y = 13 - 10[/tex]

[tex]\rm\implies \:\boxed{ \: \bf \: \: y \: = \: 3 \:cm \: \: }[/tex]

So,

[tex]\rm\implies \:\boxed{Side_{[square \: EFGH]} = y \: = 3 \: cm}[/tex]

and

[tex]\rm\implies \:\boxed{Side_{[square \: ABCD]} = x \: = 10 \: cm}[/tex]

Also,

[tex]\rm :\longmapsto\:\boxed{Area_{[square \: ABCD]} = {10}^{2} = 100 \: {cm}^{2} }[/tex]

[tex]\rm :\longmapsto\:\boxed{Area_{[squareEFGH] }\: = {3}^{2} = 9 \: {cm}^{2} }[/tex]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

[tex]\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}[/tex]

Answer:

-1  3/ 4

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Let the required number be x.

write the expression for the difference of the number and 4.

=> x - 4

the question equates 5 times the difference with some other terms, so find the equation for 5 times the difference.

=> 5( x - 4)

The equation in Step 2 is said to be equal to "two less than four times the number".

Find the expression for four times the number

=> 4x

Find the expression for two less than 4x.

=> 4x - 2

Equate the terms that it says are equal:

=> 5(x - 4) = 4x - 2

distributing 5 within the parenthesis:

=> 5x - 20 = 4x - 2

taking like terms on one side:

=> 5x - 4x = 20 - 2

=> x = 18

and x was the required number, so the answer Is 18.

Answer:

y=-5

Step-by-step explanation:

4(y+8) + 2y=2

4y+32+2y=2

6y+32=2

6y=-30

y=-5

Answer:

-1/60

Step-by-step explanation:

9/20-7/15=27/60-28/60

=-1/60

Answer:

-1/60

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(9/20, 7/15) = 60

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(9/20×33)−(7/15×44)

Complete the multiplication and the equation becomes

27/60−28/60

The two fractions now have like denominators so you can subtract the numerators.

Then:

27−28/60=−1/60

This fraction cannot be reduced.

Therefore:

9/20−7/15=−1/60

Answer:

1/8362

Step-by-step explanation:

Student picked at random/Number of students

Answer:

6x(3x + 1)(x - 7)

Step-by-step explanation:

First look for the greatest common factor of the 3 terms.

The GCF is 6x, so

18x^3 – 120x^2 – 42x

= 6x(3x^2 - 20x - 7)

Now we look to factor the quadratic expression in the parentheses:

The first and last coefficients are multiplied

3 * -7 = -21.

We look for 2 numbers whose product is -21 and whose sum is -20:

They are -21 and + 1 , so we write:

6x(3x^2 - 21x + 1x - 7)

= 6x [ (3x(x - 7) + 1(x - 7)]    Note that x - 7 is common, so:

= 6x(3x + 1)(x - 7)  Answer

Answer:

Step-by-step explanation:

Answer:

15*24=360

Step-by-step explanation:

Answer:On A.p.E.X its Log (15) + Log (24)

Step-by-step explanation:

Answer:

D becuase its given tht she spens $2 on cerial and x is the cost of apples per pound

Step-by-step explanation:

Have a good day, keep learning

Answer:

[tex]4x + $2.00[/tex]

Step-by-step explanation:

This is because the cost of the box of cereal is $2.00 and the cost of 4 pounds of apples at a cost of x dollars per pound is 4x so in conclusion the total cost will be $2.00+4x or 4x+$2.00

Answer:

I h ok honestly dont know that I'm so sorry