Two linear functions are shown. Which function has the greater initial value

Answer:

3x^2 + 5x + 4

Step-by-step explanation:

The expression for the height of the rectangle is found by dividing the expression for the area, 3x3 − x2 − 6x − 8, by the expression for the base, x − 2. Use synthetic division.

Answer:

14 - 13x

Step-by-step explanation:

take 13x + 1 away from 15

15 - (13x + 1) =  15 - 13x - 1  =  14 - 13x

The value of x is 1/2 and the measure of MG is 7.5 cm.

Given that, M is the midpoint of FG.

We need to find the measure of MG and FM.

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

Now, FG=MG+FM

⇒FG=MG+MG (MG=FM)

⇒FG=2MG

⇒15=2(13x+1)

⇒15=26x+2

⇒x=1/2

Now, MG=FM=13(1/2)+1=7.5 cm

Therefore, the value of x is 1/2 and the measure of MG is 7.5 cm.

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Answer:

6x - 4

Step-by-step explanation:

Perimeter is equal to double the length plus double the width, and if you use this to find perimeter, you would get that the perimeter = 2(2x-7)+2(x+5), which simplifies to 4x - 14 + 2x + 10, which simplifies to 6x - 4. That means that the rectangle's perimeter is 6x-4.

Answer:

The property used is Symmetric property of Equality.

Option B is correct option.

Step-by-step explanation:

We are given :

[tex]AR \cong TY\\[/tex]

Which property will give the step:

[tex]TY \cong AR\\[/tex]

Looking at the options:

We see that Symmetric property states that if a = b then b= a

Same is the case with the question.

We have :

[tex]AR \cong TY\\\\TY \cong AR\\[/tex]

If a = AR and b = TY

then the property is: a = b, b=a

So, the property used is Symmetric property of Equality.

Option B is correct option.

Answer:

commutative and zero product properties

The answer is 20 meters.

Answer:

One hosta = $ 12 , One shrub = $ 5

Step-by-step explanation:

Let;

x = hostas

y = shrubs

Emily spent $132 on 6 hostas and 12 shrubs.

6x + 12y = 132 ........................................ (i)

Chelsea spent $213 on 14 hostas and 9 shrubs

14x + 9y = 213 ........................................ (ii)

From (i)

12y = 132 - 6x

y = 11 - 0.5x  ........................................ (iii)

substitute (iii) into (ii)

14x + 9 (11 - 0.5x) = 213

14x + 99 - 4.5x = 213

9.5x = 114

x = $ 12

Substitute value of x in (iii)

y = 11 - 0.5(12)

y = 11 - 6 = $ 5

Answer:

1x+ -4y= -16

Step-by-step explanation:

y= 1/4x + 4

subtract 1/4x from both sides

-1/4x + y= 4

multiply both sides by -4

1x -4y= -16

Step-by-step explanation:

.........................

Answer:

y axis is the top and bottom line like the straight line abd Example on the coordinate plane ut had two lines one jn the middle and one going across well the one going across is the x axis abs the one going straight is y axis so final answer Y axis us that

Answer:

25.83%

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

PQ = 45 units

Answer:

A

Step-by-step explanation:

The expression for the width of rectangular placemats is (9x - 25) units.

Given that, the area of rectangular placemats=45x²-70x-150.

The area of a rectangle (A) is the product of its length 'a' and width or breadth 'b'. So, the area of the rectangle = (a × b) square units.

Now, 45x²-70x-150=(5x + 6)×b

⇒b=45x²-75x-150/(5x + 6)

⇒b=(5x + 6)(9x - 25)/(5x + 6)

⇒b=(9x - 25)

Therefore, the expression for the width of rectangular placemats is (9x - 25) units.

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Answer:

[tex]\huge\boxed{\sf The\ co-efficient\ of\ x\ is\ -4.}[/tex]

Step-by-step explanation:

Slope = m = -4

Y-intercept = c = -7 ( Because that is the point where x = 0 )

Equation:

[tex]\sf y = mx+c\\\\y = -4 x+(-7)\\\\y = -4x-7[/tex]

So, The co-efficient of x is -4.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Step-by-step explanation:

For the cubic function to be an increasing function, dy/dx > 0 for all real values of x.

dy/dx

= d/dx [4x³ + 4px² + 16x - 9]

= 12x² + 8px + 16.

We have 12x² + 8px + 16 > 0.

=> 3x² + 2px + 4 > 0,

where a = 3, b = 2p and c = 4.

For the quadratic function to have a range that is always positive, the discriminant must be less than 0.

(in order to have no real roots)

We have b² - 4ac < 0.

=> (2p)² - 4(3)(4) < 0

=> 4p² - 48 < 0

=> p² - 12 < 0

=> p² < 12

=> -√12 < p < √12

=> -2√3 < p < 2√3.

That was a very long process but hopefully you understand all of it!

Answer:

455.4,  So D

Step-by-step explanation:

You need to multiply 37.95 times 12 which gives you 455.4

Answer:

the second option

Step-by-step explanation:

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]

theta = 45°

hypotenuse = 9

opposite = x

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \sin(45) = \frac{x}{9} [/tex]

[tex] \sin(45) \times 9 = x[/tex]

[tex] \frac{9 \sqrt{2} }{2} = x[/tex]

[tex]x = \frac{9 \sqrt{2} }{2} [/tex]

Answer:

SAS

Step-by-step explanation:

Answer:

The mean height is 3.2 feet and thestandard deviation 0.6 feet. A… ... A forest ranger has data on the heights of a large growth ... mately what fraction of the trees should we expect to be.

The  fraction of the trees that is between 4.0 and 4.4 feet is 7%

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

x is the raw score, μ is mean and σ is standard deviation

Given that μ = 3.2, σ = 0.6, hence:

[tex]For\ x = 4:\\\\z=\frac{4-3.2}{0.6} =1.33\\\\\\For\ x = 4.4:\\\\z=\frac{4.4-3.2}{0.6} =2[/tex]

From the normal distribution table, P(4 < x < 4.4) = P(1.33 < z < 2) = P(z < 2) - P(z < 1.33) = 0.9772 - 0.9082 = 7%

The  fraction of the trees that is between 4.0 and 4.4 feet is 7%

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Answer:

AB=13cm(h)

AD=10-3=7cm(b)

DB=?(p)

now, using Pythagoras theorem

h²=p²+b²

hope it helps.

Answer:

2:3

3:2

Step-by-step explanation:

Answer:

that should be the answer if you don’t have to simplify

Step-by-step explanation:

Answer:

88/15

Step-by-step explanation:

Answer: 42 ?

Step-by-step explanation:

Answer:

70 years old

Step-by-step explanation:

Lets say this man’s age is x

200- 2x= 60

2x=140

x=70

Answer:

200n - 162.

Step-by-step explanation:

first trem a1 = 38

common difference d = 200

nth term = a1 + (n-1(d

= 38 + 200(n-1)

= 200n - 162

The explicit formula for arithmetic sequences is 200n - 162.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given sequence is 38, 238, 438, 638,

first trem a₁ = 38

Common difference d = 200

nth term = a₁ + (n-1(d

nth term = 38 + 200(n-1)

nth term = 200n - 162

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Answer:

22500

Step-by-step explanation:

I'm not 100% sure

Given answer is wrong.

This is the solution:

60/3[150/2{6+3(17-14)}]

60/3[150/2{6+3(3)}]

60/3[150/2{6+9}]

60/3[150/2{15}]

60/3[150/30]

60/3[5]

60/15

4

Answer:

Looks like 1 to me the first line

Step-by-step explanation:

Answer: EG = 80

Step-by-step explanation: A parallelogram is a quadrilateral with opposite sides parallel to each other.

The diagonals of a parallelogram bisect each other, which means, using the figure as example:

EJ = JG

So, to determine EG, first find w:

[tex]4w+4=2w+22[/tex]

[tex]2w=18[/tex]

w = 9

Substituting:

[tex]EJ=4w+4[/tex]

[tex]EJ=4(9)+4[/tex]

EJ = 40

Since each segment has the same measure:

EG = 2EJ

EG = 2(40)

EG = 80

The measure of EG is 80 units

Answer:

-3p3+ 5p2- 2p -p3 -8p2-15p

-3p3-p3+5p2-8p2-2p-15p

4p3-3p2-17p