(15 points) Critique Reasoning Jamie says that the
expressions 6x - 2x + 4 and 4(x + 1) are not
equivalent because one expression has a term
that is subtracted and the other does not. Do
you agree? Explain.
a

[tex]3|x-7| = 15\\\\\implies |x-7| =\dfrac{15}3\\\\\implies |x -7| = 5\\\\\implies x -7 = 5 ~~ \text{or}~ x - 7 = -5\\\\\implies x = 12 ~~\text{or}~~ x = 2[/tex]

Answer:

  1a: f(x) = x³ -6x² +9x -4

  1b: no breaks; the function is defined everywhere

  2a: (-∞, 5]

  2b: y = -3; y = -1

  2c: x → -∞, y → -3; x → ∞, y → -1

Step-by-step explanation:

The factored form of f(x) is ...

  f(x) = (x -4)(x -1)²

  f(x) = (x -4)(x² -2x +1) = x³ -2x² +x -4x² +8x -4

  f(x) = x³ -6x² +9x -4

__

The function h(x) is defined for all values of x to be either f(x) or g(x). The function f(x) is a polynomial function, so has no breaks in its domain. The function g(x) is defined for all values of x, so has no breaks in its domain.

There are no breaks in the domain of h(x).

__

See the attachment for a graph.

  -∞ < y ≤ 5 . . . . range of f(x)

__

The asymptote as x → -∞ is the asymptote of the exponential function. The exponential term has an asymptote of y=0, but shifting it down 3 units means the asymptote is 0 -3:

  x → -∞, y → -3 . . . . asymptote is y = -3

The asymptote as x → ∞ is the asymptote of the rational expression. That is the ratio of the leading terms: -x²/x² = -1.

  x → ∞, y → -1 . . . . asymptote is y = -1

__

See part B.

Answer:

5!=5*4*3*2*1=120

Step-by-step explanation:

n!=(n)(n-1)(n-2)...(3)(2)(1)

5!=5×4×3×2×1

=20×3×2×1

=60×2×1

=120×1

=120

Answer:

age of the Father is 46 and age of the son is 24

Step-by-step explanation:

13 years ago x was thrice y's age, or

(x - 13) = 3(y - 13); or

x - 3y = -26

2 years ago, x was twice y's age, or

(x - 2) = 2 (y - 2); or

x - 2y = -2

Subtracting equation 1 from 2:

x - 2y - (x - 3y) = -2 - (-26)

or y = 24

Answer:

Midpoint: (0, 5/2) or (0, 2.5)

Step-by-step explanation:

The diagonal BD is made of the points B(4,7) and D(-4,-2)

to find the midpoint of these points you add the two x coordinates and divide by two --> (4+-4)/2=0/2=0

Then you add the y coordinates and divide by 2 --> (7+-2)/2=5/2 or 2.5

Then you've got your midpoint.

hopefully I've understood the question correctly - hope this helps!

Answer:

[tex] \frac{2}{5} > \frac{1}{6} [/tex]

Answer: B. >

#CarryOnLearning

2-4 is -2 and -5 times -2 is 10 divided by 2 is 5 and 5 +3 is 8. and 8 times 3 is 24. PEMDAS

Answer:

→24

Step-by-step explanation:

Evaluate: {3+[−5(2−4)÷2]}⋅3

= {3+[-5(2-4)÷2]}.3

= {3+[-5(-2)÷2]}.3

= {3+[10÷2]}.3

= {3+[10÷2]}.3

= {3+[10÷2]}.3

= {3+[10/2]}.3

= {3+[5]}.3

= {3+5}.3

= 8.3

= 8*3

= 24 Ans.

Answer:

1. <  2. < 3. > 4. = 5. >

Step-by-step explanation:

Answer:

i think its 195 but i am not for sure correct me if i am wrong

Step-by-step explanation:

Answer:

x + 2 [tex]\leq[/tex] 25

Step-by-step explanation:

The given algebraic sentence means is x + 2 ≤ 25

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

ATQ

x + 2 ≤ 25

To learn more about inequalities from here

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Answer:

1428485748586384858858

Answer:

Ramona spent 110 minutes on homework

Step-by-step explanation:

You want to add up all the minutes spent on homework altogether.

20 +20 = 40

40 + 40 = 80

80 + 30 = 110

110 + 0 = 110

So, Ramona spent a total of 110 minutes on homework. Hope this helps!

Answer:

x ft is the answer since X = 10

so it means 10 ft

[tex]2x^2-8x=2x(x-4)[/tex]

Answer:

2x ( x - 4)

Hope that helps?

Here is the set up:

Let h = balloon's vertical distance.

sin(40°) = h/1165

sin(40°)(1165) = h

748.847565

748.85 feet = h

Done.

The balloon's vertical distance above the ground is 1388.40 feet to the nearest hundredth.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

From a hot-air balloon,

Mariana measures a 40° angle of depression to a landmark that's 1165 feet away, measuring horizontally.

Let h be the vertical distance.

Use tanθ = perpendicular / base

Here, perpendicular = 1165 feet and base = h and θ = 40°

Substituting the values,

tanθ = perpendicular / base

tan40° = 1165 / h

h = 1165 / tan40

h = 1165 /  0.839095

h = 1388.40059 feet.

h ≈ 1388.40 feet to the nearest hundredth.

Therefore, vertical distance is 1388.40 feet

To learn more about the division;

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Answer:

210

Step-by-step explanation:

juss a fact

Answer:

210

Step-by-step explanation:

First you do 19 times 9 which is 171. Then you do 57 times 2 which is 114. Then you add 171 to 114 which gives you 285. Then you subtract 75 from it and that gives you 210

[tex]x^2+8x-48\\\\=x^2 + 12x -4x -48\\\\=x(x+12) -4(x+12)\\\\=(x-4)(x+12)[/tex]

Answer:

Equations 1 & 3 are correct.

Explanation:

Equation 2's actual answer is -8, and Equation 4's actual answer is positive 7.

Answer:

1 and 3 are correct

Step-by-step explanation:

Answer:

The blogger needs at least 189subscribers to break even

Answer:

Should be 3 units away from the picture

Step-by-step explanation:

I hope this helps! ;)

The coordinates of the image of EFG under the dilation with scale factor 3/2 and center of dilation (0, 0) are E(-3,3), F'(-3,-3) and G'(3,-3).

Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.

The image of EFG under the dilation with scale factor and center of dilation has to be drawn.

The coordinates or the triangle are E(-2,2), F(-2,-2) and G(2,-2). The new points after the dilation are,

[tex]E'(-2\times\dfrac{3}{2},2\times\dfrac{3}{2})=E'(-3,3)\\F'(-2\times\dfrac{3}{2},-2\times\dfrac{3}{2})=F'(-3,-3)\\G'(2\times\dfrac{3}{2},-2\times\dfrac{3}{2})=G'(3,-3)[/tex]

The dilated image of triangle EFG is attached below.

Thus, the coordinates of the image of EFG under the dilation with scale factor 3/2 and center of dilation (0, 0) are E(-3,3), F'(-3,-3) and G'(3,-3).

Learn more about the dilation of the figure here;

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Answer:

Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)

Step-by-step explanation:

To determine where [tex]f(x)[/tex] is increasing or decreasing, we set [tex]f'(x)=0[/tex] and check for the intervals.

We see that [tex]f'(x)=0[/tex] when either [tex]x=2[/tex] or [tex]x=6[/tex]. Therefore, we'll need to check the intervals [tex](-\infty,2)[/tex], [tex](2,6)[/tex], and [tex](6,\infty)[/tex]

For the interval [tex](\infty,2)[/tex], we can pick [tex]x=0[/tex] . This means that[tex]f'(0)=(2-0)(6-0)=(2)(6)=12>0[/tex], showing that [tex]f(x)[/tex] increases on the interval [tex](-\infty,2)[/tex]

For the interval [tex](2,6)[/tex], we can pick [tex]x=4[/tex]. This means that [tex]f'(4)=(2-4)(6-4)=(-2)(2)=-4<0[/tex], showing that [tex]f(x)[/tex] decreases on the interval [tex](2,6)[/tex]

For the interval [tex](6,\infty)[/tex], we can pick [tex]x=7[/tex]. This means that [tex]f'(7)=(2-7)(6-7)=(-5)(-1)=5>0[/tex], showing that [tex]f(x)[/tex] increases on the interval [tex](6,\infty)[/tex]

Therefore, [tex]f(x)[/tex] is increasing on [tex](-\infty,2)\cup(6,\infty)[/tex] and is decreasing on [tex](2,6)[/tex].

Answer:

#1 matches with the pizza scenario

#2 matches with the present scenario

#3 matches with the Sarah scenario

Step-by-step explanation:

Look for keywords at the end of the questions and if they go hand and hand (such as in 7 hours / yield 20 servings) then they go together as a pair

Answer:

GM = 18

Step-by-step explanation:

HJK is congruent to HKL (RHS congruency)

so, JK = KL

JK = 2

GHJ is congruent to MHL (SAS congruency)

so, GJ = LM

LM = 7

GM = 7 + 2 + 2 + 7 = 18

Answer:

i think d) -25 is answer

Step-by-step explanation:

good luck

Answer:

d) -25

Step-by-step explanation:

Because -25 is less than -23 . as it is negative integers

Answer:

2. angle A is congruent to angle X

Step-by-step explanation:

Hey there!

(-2)2 + (-42) + (18 - 23).

= -2(2) - 42 + 18 - 23

= -4 - 42 + 18 - 23

= -46 + 18 - 23

= -46 + (-5)

= -46 - 5

= -51

Therefore, your answer is: -51

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

It is a function because the input can be either 1 or 2 items, but the output

will always be the same price.

Step-by-step explanation:

Answer:

A. It is a function because the input can be either 1 or 2 items, but the output

will always be the same price.

Step by Step Explanation :

A function is for every single input but the output is always the same. So, let's make a scenario. If someone bought ' 1 ' then paid the marked cost and if you bought 2 then paid the marked cost BUT with " One Buy One Free. " So, it is in fact a function.

Answer:

12c

Step-by-step explanation:

Note that when simplifying through adding or subtracting, the terms must have the same amount of the same variables to combine them.

In this case, all given terms have the same variable, denoted by c. Combine the given coefficients:

5c + 7c = 12c

12c is your answer.

~