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2 years ago

-3(x+3)+5<-3 How do you solve this inequality

Mathematics

1 answer:

Illusion [34]2 years ago

6 0

Answer:

x<1/-3

Step-by-step explanation:

Distribute -3 to (x+3)

-3x-9+5<-3

add like terms (-9+5=-4)

-3x-4<-3

add 4 to both sides

-3x<1

divide both sides by -3

x<1/-3

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9) The base and the height of a rectangle are represented by the expressions below.

Nuetrik [128]

9 :

Given,
Perimeter = 88 units
Base = x + 4
Height = x - 6

= > Perimeter of Rectangle = 2( base + height )

= > 88 = 2{ ( x + 4 ) + ( x - 6 ) }

= > 88 / 2 = { x + 4 + x - 6 }

= > 44 = 2x - 2

= > 46 = 2x

= > 46 / 2 = x

= > 23 = x

Therefore,

Length of base = ( x + 4 ) units = ( 23 + 4 ) units = 27 units

Length of height = ( x - 6 ) units = ( 23 - 6 ) units = 17 units

10 :

Given,
First integer = x
Second integer = x + 2
Third Integer = x + 4

Given that the sum of all integers is 36

= > ( x ) + ( x + 2 ) + ( x + 4 ) = 36

= > x + x + 2 + x + 4 = 36

= > 3x + 6 = 36

= > 3x = 30

= > ( 3x ) ÷ ( 3 ) = ( 30 ) ÷ ( 3 )

= > x = 10

$\text{Hence, }$
Value of first integer = x = 10

3 0

2 years ago

if pentagon abcd was reflected over the axis y-axis, reflected over the x-axis, and rotated 180, where would be point A' lie

frez [133]

A reflection over the x axis coupled with another reflection over the y axis leads to a rotation of 180 degrees.

In other words,

Start with point A. Reflect over the x axis to get point B. Reflect B over the y axis to get point C. To go from A to C, we can rotate A 180 degrees about the origin.

----------------

So this means that if we do those reflections and then do the rotation, then we end up back where we started. Wherever point A is located, the point A' will also be located at the same position with the same coordinates.

4 0

2 years ago

Solve this equation pls

Aleksandr-060686 [28]

Answer:

${ \rm{y = \frac{3 \sqrt{x} + 2x}{ {4x}^{2} } }} \\$

• We are gonna use the quotient rule

${ \boxed{ \bf{ \frac{dy}{dx} = \frac{ {\huge{v} } \frac{du}{dx} - { \huge{u}} \frac{dv}{dx} }{ {v}^{2} } }}} \\$

u is (3√x + 2x)
v is 4x²
du/dx is 3/2√x
dv/dx is 8x

• Therefore:

${ \rm{ \frac{dy}{dx} = \frac{(4 {x}^{2})( \frac{3}{2 \sqrt{x} }) - (3 \sqrt{x} + 2x)(8x) }{16 {x}^{4} } }} \\ \\ { \rm{ \frac{dy}{dx} = \frac{(6 {x}^{2})( {x}^{ - \frac{1}{2} } ) - (24 {x}^{ \frac{3}{2} } + 16 {x}^{2} ) }{16 {x}^{4} } }} \\ \\ { \rm{ \frac{dy}{dx} = \frac{ 6 {x}^{ \frac{3}{2} } - {24x}^{ \frac{3}{2} } - {16x}^{2} }{16 {x}^{4} } }} \\ \\ { \rm{ \frac{dy}{dx} = \frac{ - 18 {x}^{ \frac{3}{2} } - 16 {x}^{2} }{16 {x}^{4} } }} \\ \\ { \rm{ \frac{dy}{dx} = - 2 {x}^{ \frac{3}{2} } (9 + 8 {x}^{ \frac{4}{3} } ) \div 16 {x}^{4} }} \\ \\ { \boxed{ \boxed{ \rm{ \: \: \frac{dy}{dx} = - \frac{8 \sqrt{ {x}^{ \frac{8}{3} }} + 9}{8x {}^{ \frac{8}{3} } } \: \: }}}}$

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2 years ago

Read 2 more answers

it cost a faimly 305.00 to buy a 11ft by 14 ft rug if the cost is porpotional to the area what will it cost the family to buy a

Nataliya [291]

So what we do first is find out the cost per foot which is 305÷154=1.9805194805194805195
Then we find out the area of the second rug which is 288 feet and multiply that by the cost 1.9805194805194805195. We then get 1.9805194805194805195x288=570.38961038961038961

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3 years ago

Find the probability of a student being 34 years old or younger. Express your answer as a percent

yarga [219]

Answer:

79%

Step-by-step explanation:

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2 years ago