If line a has a greater slope than line b, is line a steeper than line b? Explain, giving examples to support your answer. ( PLEASE HELP)

Answer:

1/2 - 3(1/2 + 1)²

simplify the expression (1/2 + 1)

1/2 - 3•(3/2)²

using PEMDAS, we see we have to evaluate the exponent first

(3/2)² = 9/4

rewrite the equation

1/2 - 3 • (9/4)

multiply 3 by (9/4)

1/2 - (27/4)

subtract

-25/4

(1 + 1/3)² - 2/9

simplify the expression (1 + 1/3)

(4/3)² - 2/9

using PEMDAS, we see we have to evaluate the exponent first

(4/3)² = 16/9

rewrite the equation

(16/9) - (2/9)

subtract

14/9

Answer:

2+7=9

450/9 = 50

2( 50) = 100 no concentrate

7(50) or 450 - 100 = 350 ml water

Answer:

x = 4

Step-by-step explanation:

Given

2(3x - 5) = 2x + 6 ( divide both sides by 2 )

3x - 5 = x + 3 ( subtract x from both sides )

2x - 5 = 3 ( add 5 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Answer:

x = 4

Step-by-step explanation:

2(3x - 5) = 2x + 6

expand- 2(3x-5):6x+10

6x-10= 2x+6

Add 10 to both sides

6x-10+10=2x+6+10

simplify

6x=2x+16

subtract 2x from both sides

6x-2x=2x+16-2x

simplify

4x=16

divide  both sides by 4

4x/4=16/4

x=4

Given that,

The shape of a dome can be modeled by the equation :

[tex]h=2d^2+100[/tex] ....(1)

h is the height of the dome

d is distance from its center

We need to find the distance from the center of the dome if the height is 50 feet. Put h = 50 in equation (1)

[tex]50=2d^2+100\\\\2d^2=100-50\\\\2d^2=50\\\\d^2=25\\\\d=5\ \text{feet}[/tex], neglecting d = -5 feet (as height can't be negative)

So, at a distance of 5 feet from the center of domes the height is 50 feet.

Answer:

see below

Step-by-step explanation:

2/3 +y =1/4

Subtract 2/3 from each side

2/3-2/3 +y =1/4-2/3

y = 1/4 -2/3

Get a common denominator

y = 1/4 (3/3) - 2/3 *4/4

  = 3/12 - 8/12

  =-5/12

or if

2/(y+3) = 1/4

Using cross products

y+3 = 2*4

y+3 = 8

y =8-3

y = 5

Answer:

y = -5/12

Step-by-step explanation:

2/3 + y = 1/4

y = 1/4 - 2/3

y = 3 - 8/ 12

y = -5/12

Answer:

(-4.5, 1.5) is the midpoint

Step-by-step explanation:

midpoint formula:

([x₁ + x₂] / 2 , [y₁ + y₂] / 2)

(-7 - 1) / 2 = -4.5

(2 + 1) / 2 = 1.5

(-4.5, 1.5) is the midpoint

Answer:

11:7:12

Step-by-step explanation:

take x to be number of women

Total= 150

adults=(x+x+20)= 2x+20

children=(2x+20-30)= 2x-10

men =x+20

women=x

find the value of x

2x-10+x+20+x=150

2x+x+x+20-10+=150

4x+10=150

4x=150-10

4x=140. divide both sides by 4

x=35

thus.

men=(35+20)=55

women=35

children=70-10=60

ratio= 55:35:60.

simplify= 11:7:12

Answer:

4

Step-by-step explanation:

The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients

Answer:

A.

Step-by-step explanation:

Answer:

The answer is 18.

Step-by-step explanation:

8r - rs

8×6=48

5×6=30

48-30=18

Answer:

Step-by-step explanation:

a)L=2w+4

b)P=2L+2w

sub L=2w+4,

P=2(2w+4)+2w

P=4w+8+2w

P=6w+8

c) 20=6w+8

   12=6w

    2=w

L=2(2)+4

 =8

Hence,

L=8 and w=2

Answer:

-210 degrees.

Step-by-step explanation:

That is 150 - 360

= -210 degrees.

Answer:

The equation for the variation is:

[tex]\frac{Miles}{thunder\,\,time } =0.2\,\frac{mi}{s}[/tex]

Step-by-step explanation:

The relationship is given by the quotient between the two variables: (1) distance of the storm, and (2) the number of seconds to hear the thunder. That is:

[tex]\frac{Miles}{thunder\,\,time } =\frac{2}{10} =0.2\,\frac{mi}{s}[/tex]

Answer:

C

Step-by-step explanation:

sin30° = y/6

sin30° = 1/2

y/6 =  1/2

y = 3

Answer:

Option (3)

Step-by-step explanation:

If a point having coordinates of a point (x, y),

If this point is rotated by an angle of 90 degrees clockwise about the origin then the coordinates of the image will follow the rule,

(x, y) → (y, -x)  

If a point A is (3, -9) and this point is following the the same rule, new image point will be,

A(3, -9) → A'(-9, -3)

Option (3) will be the correct option.

Part A:

We need to divide

5 ÷ 2/3

5/1 ÷ 2/3

5/1 * 3/2

15/2 or 7 1/2 plates of nachos.

Part B:

If Rachel can make 7 1/2 plates of nachos with 5 cups of cheese we need to multiply and subtract.

ma2/3 * 9 = 18/3 or 6 cups of cheese to make 9 plates

6 - 5 = 1 more cup of cheese she needs to make 9 plates

Best of Luck!

==============================================

Work Shown:

Expand out the first expression to get

(a-3)(2a^2 + 3a + 3)

a(2a^2 + 3a + 3) - 3(2a^2 + 3a + 3)

2a^3 + 3a^2 + 3a - 6a^2 - 9a - 9

2a^3 + (3a^2-6a^2) + (3a-9a) - 9

2a^3 - 3a^2 - 6a - 9

Divide every term by 2 so we can pull out a 2 through the distributive property

2a^3 - 3a^2 - 6a - 9 = 2(a^3 - 1.5a^2 - 3a - 4.5)

This shows that (a-3)(2a^2 + 3a + 3) is equivalent to 2(a^3 - 1.5a^2 - 3a - 4.5)

Answer:

  yes

Step-by-step explanation:

(a-3)(2a^2 + 3a + 3) = a(2a^2 + 3a + 3) -3(2a^2 + 3a + 3)

  = 2a^3 +3a^2 +3a -6a^2 -9a -9

  = 2a^3 +a^2(3 -6) +a(3 -9) -9

  = 2a^3 -3a^2 -6a -9

  = 2(a^3 -1.5a^2 -3a -4.5) . . . . the form you're asking about

Answer:

length = 20 meters

width = 16 meters

Step-by-step explanation:

72 = 2(a+b)

a = b-4

a = width

b = length

then:

72 = 2((b-4)+b)

72/2 = b-4+b

36 = 2b - 4

36 + 4 = 2b

40 = 2b

b = 40/2

b = 20

a = b - 4

a = 20 - 4

a = 16

Check:

72 = 2(20+16)

72 = 2*36

Answer:

UT + CV = 4x + 33

Step-by-step explanation:

Given:

TW = 14

WU = 2x + 2

VW = 2x + 5

WC = 12

Find:

UT + CV

Computation:

UT = TW + WU  

UT = 14 + 2x + 2 = 16 + 2x

CV = VW + WC

CV = 2x + 5 + 12 = 2x + 17

UT + CV

16 + 2x + 2x + 17

UT + CV = 4x + 33

Answer:

Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

Step-by-step explanation:

In order to determine if the poster will lie flat in the box or not, we will determine the length of the sides of the poster and the box, if the length of the side of the square poster is smaller than that of the box, it will lie flat. This is calculated as follows:

Area of poster = 4 square feet

Area of poster =  (Length)²

4 = (Length)²

∴ Length = √(4)

Length of poster = 2 Ft

Volume of box = 14 cubic feet

Volume of box = (Length)³

14 = (Length)³

∴ Length = ∛(14)

Length = 2.41 Ft

∴ Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

Answer:7,500

Step-by-step explanation

x + 3x + 5,000 = 15,000

     4x  - 5,000 = 10,000

    4x =  10,000

               /4

x =        2,500

On friday, she checked 3x, so she processed 2,500 x 3 = 7,500 passengers.

5,6 and6,5

Step-by-step explanation:

there is only two ordered pairs of 5,6that is itself and 6,5

Answer:

the two possible orders are 5,6 and 6, 5

Answer:

37.5% are male

62.5% are female

Step-by-step explanation:

in total 120 teachers (45 male+75 female)

therefore:

for male

120 - 100%

45 - x%  (we need to find x)

by using the butterfly method (or cross multiply) we get:

120x=100*45

x=4500/120=37.5% (male teachers)

we do the same for female but instead of using 45 we will use 75(the quantity of female theachers in school)

120x=100*75

x=7500/120=62.5%

Answer:

Step-by-step explanation:

[tex] \sf{2(6x - 1) = - 38}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{12x - 2 = - 38}[/tex]

Move constant to right hand side and change it's sign

⇒[tex] \sf{12x = - 38 + 2}[/tex]

Calculate

⇒[tex] \sf{12x = - 36}[/tex]

Divide both sides of the equation by 12

⇒[tex] \sf{ \frac{12x}{12} = \frac{ - 36}{12} }[/tex]

Calculate

⇒[tex] \sf{x = - 3}[/tex]

Hope I helped!

Best regards!!

Answer:

A. the graph of a quadratic function y = (1/4)(x+3)(x-4)

Step-by-step explanation:

(1/4)(x+3)(x-4) = 0

x+3 = 0    or  x-4 = 0

x = -3  or   x = 4

For the others:

B.  -(1/4)(x-3)(x+4) = 0

x-3 = 0    or  x+4 = 0

x = 3  or   x = -4

C.  -(x+3)(x+4) = 0

x+3 = 0    or  x+4 = 0

Step-by-step explanation:

The graph of function y = 1/4 (x+3)(x-4) gives the zeros at -3 and 4, therefore option (a) is correct.

A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

Given that,

The function f has 0 at -3 and 4.

The function f has 0 at -3 and 4 implies that the value of function is 0, when  value of x are -3 and 4.

Solve with the help of options,

(a)

y = 1/4 (x + 3)(x - 4)

Substitute x = -3,

y = 1/4 (-3 + 3) (3 + 4)

y = 1/4 x 0 x 7

y = 0

Substitute x = 4,

y = 1/4 (4 + 3)(4 - 4)

y = 1/4 x 7 x 0

y = 0

The value of y is 0 at x = -3 and 4,

Therefore, option (A) is correct option.

To know more about Function on:

https://brainly.com/question/2411204

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Answer:

D. 384 units²

Step-by-step explanation:

Hey there!

Well a right square prism's bases are squares meaning the area of the base is 64 units².

Meaning 128 "which is the sum of 64+64" needs to be taken out of the SA to find the LSA.

Now we only have 4 sides to find the area of,

h = 12

l/w = 8

A = (12*8) * 4

A = 96 * 4

LSA = 384 units²

Hope this helps :)

The lateral surface area of the given prism of length 12 and its base has a side of length 8 is 384 [tex]units^{2}[/tex]

The lateral surface area of an object is the total area of its sides excluding its top and the bottom.

A right square prism is a prism having four sides as rectangle and two sides as squares as its bases.

The lateral surface area of right square prism is equal to the area of the four rectangles only. So the formula is as follows:

Lateral surface area=4(length*breadth)

The altitude which is given to us of 12 will be the breadth of the rectangles and the length of base of 8 will be the length of the rectangles. So,

Lateral surface area of right prism=4(12*8)

=4*96

=384

Hence the lateral surface area of right prism of altitude of length 12 and base has a side of length 8 is 384[tex]units^{2}[/tex]

Learn more about lateral surface area at https://brainly.com/question/17056543

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Answer:

x = 3 ± √6.

or 0.55, 5.45 to the nearest hundredth.

Step-by-step explanation:

(x−3)^2+2=8    

(x - 3)^2  = 8 - 2 = 6

(x - 3)^2 = 6

Taking square roots of both sides:

x - 3 = +/- √6

x = 3 ± √6.

ㅤ

Given quadratic equation:-

⇢ [tex]\rm{(x - 3) 2 + 2 = 8}[/tex]

ㅤ

Simplifying the given equation:-

ㅤ

1) Simplify both sides of the equation.

⇢ [tex]\rm{x^{2} - 6x + 11 = 8}[/tex]

ㅤ

2) Subtract (8) from both sides, we get:

⇢ [tex]\rm{x^{2} - 6x + 11 - 8 = 8 - 8}[/tex]

⇢ [tex]\rm{x^{2} - 6x + 3 = 0}[/tex]

ㅤ

3) In the equation: (a = 1), (b = -6), (c = 3):

⇢ [tex]\rm{1x^{2} + - 6x + 3 = 0}[/tex]

ㅤ

4) Use quadratic formula:

⇢ [tex]\rm{x = \dfrac{-b \pm \sqrt{b^{2} - 4ac}}{2a}}[/tex]

⇢ [tex]\rm{x = \dfrac{-(-6) \pm\sqrt{(-6)^{2} - 4 (1) (3)}}{2 \times 1}}[/tex]

⇢ [tex]\rm{x = \dfrac{6 \pm \sqrt{4}}{2}}[/tex]

Answer:

Year 0 is represent the year that Gabe was born

Step-by-step explanation:

Gabe is mapping out important family events. He uses negative numbers to represent time before he was born and positive numbers to represent time after he was born. For example, Gabe's mom was given a special coin in year -20, and Gabe's sister was born in year 5. What does year 0 represent?

Answer: Positive numbers represent things that happen after Gabe was born while negative numbers represent things that happened before Gabe was born. The first example in the question meant that Gabe's mom was given a special coin 20 years before he was born while the second example in the question meant that Gabe's sister was born 5 years after he was born.

Year 0 is represent the year that Gabe was born.

Answer:

acb

Step-by-step explanation:

The side across from the smallest angle will always be the smallest side. Since 58 is the smallest angle measure, side a must be the smallest. This pattern continues with the other side and angle pairs.