One student says -5 is bigger than -4 and uses money as the analogy: “If I owe $5, I have a bigger debt than if I owe $4.” What is wrong with this argument?

Answer:

1/15

Step-by-step explanation:

Jesse drives to work. The distance Jesse’s car travels (d) on a number of gallons of gas (g) is given by the equation d = 15g. The constant of proportionality in terms of distance traveled per gallon of gas is 1/15.

the equation is...

d=15g

Now lets solve for 1 gallon of gas

d=15g

d=15(1)

d=15

This means that for every 1 gallon of gas, 15 (insert missing unit of distance here) can be driven.

15/1=15

1/15

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Answer:

3.125

Step-by-step explanation:

We just multiply the dimensions together and when we do so we get 3.125.

Answer:

C

Step-by-step explanation:

5 lemons for $2.00

1 lemon is for 2/5=$0.40

Answer:

The answer is option C) $0.40

Step-by-step explanation:

Cost of 5 lemons= $2.00

cost of 1 lemon= 2.00/5

                        = 0.40

therefore $0.40 is the unit cost of each lemon in the bag.

Hope this helped you.

Answer:

46%

Step-by-step explanation:

0.25 + 0.21 = 0.46

0.46 = 46%

The value of f(x) = x² - 2x  at x=4 is 8.

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation

Given:

f(x) = x² - 2x

Replace the x with -4.

f(-4) =  x² - 2x

Next, Evaluate the power.

=  (-4)² - 2(4)

Now, Calculate the rest.

= 16 + 8

= 8

Hence, the value of f(-4) is 8.

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The conversion factor used to convert inches to yards is: 36 inches in 1 yard.

Answer:

The answer iis d

Step-by-step explanation:

Step-by-step explanation:

8

ahhdhdvab ah a. b b b n n bk.

Answer:

12.

Step-by-step explanation:

Replace k in the radical by -2:

So we have √(-72*-2)

= √144

= 12.

Answer:

12

Step-by-step explanation:

[tex]\sqrt{-72(-2)} = \sqrt{144} = 12[/tex]

Answer:

Option C.

Step-by-step explanation:

The given functions are

[tex]f(x)=ax^2[/tex]

[tex]g(x)=x^2[/tex]

It is given that the graph of [tex]f(x)=ax^2[/tex] opens upward and is narrower than the graph of [tex]g(x)=x^2[/tex].  

Graph of [tex]f(x)=ax^2[/tex] opens upward, it means coefficient of [tex]x^2[/tex] must be positive.

Graph of [tex]f(x)=ax^2[/tex] is narrower than the graph of [tex]g(x)=x^2[/tex], it means coefficient of [tex]x^2[/tex] must lies between 0 to 1, i.e., [tex]0<|a|<1[/tex].

From the given options, only 0.25 is a positive number whose absolute value lies in between 0 to 1.

Therefore, the correct option is C.

Following are the solution to the graph function:

Given:

Graph function:

[tex]\to f(x)=ax^2\\\\\to g(x)=x^2\\\\[/tex]

Solution:

Therefore, the final answer is "Option C".

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Answer: The answer is C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The two angles given are vertical angles because they are opposite of each other

Hey!!

<a and <b are vertically opposite angles.

Vertically opposite angles are always equal.

Hope it helps..

Good luck on your assignment

Answer:

The answer would be 12.571428571 units or 12.57units.

Answer:

I agree

Step-by-step explanation:

Some rectangles aren't parallelograms

Answer:

4

Step-by-step explanation:

Since the y value is the same, we only have to look at the x value

-1 - -5

-1 +5

4

The distance is 4

Answer: The distance of this segment is 4 units

Step-by-step explanation:

Obviously, you could count the number of units in this graph, but for the sake of math, let’s use the distance formula, which is:

d = √([tex]x_{2}[/tex] - [tex]x_{1}[/tex])² + ([tex]y_{2}[/tex] - [tex]y_{1}[/tex])²

We know that the two endpoints of our line segment are (-1, -4) and (-5, -4). So we will use these coordinates and substitute them into the equation. The -4s will be our y coordinates, and our -1 and -5 will be our x coordinates.

d = √((-5) - (-1))² + ((-4) - (-4))²

d = √(-4)² + (0)²

d = √16 + 0

d = √16

d = 4

This furthermore proves that the distance between the two segments is 4.

Hope this helps! :)

Answer:

D

Step-by-step explanation:

The sum of all exterior angles of a triangle is 360° so n + 133 + 142 = 360 and n = 85°.

Answer:

it is 85

Step-by-step explanation:

133+142=275

360-275=85

The quadratic functions that fits with its respective graph are.

1). f (x) = x^2 - 4x + 5

2). f (x) = -x^2 - 2x +3

3). f (x) = x^2 - 6x + 5

Here is how it looks.

The graph has been plotted to show the graphs that corresponds to the equations.

A quadratic equation is what can be written in the form of ax²+bx+c=0

The equations given are

f (x) = x² + 6x - 5

f (x) = x² - 4x + 5

f (x) = -x² - 2x +3

f (x) = x² + 4x - 5

f (x) = -x² + 2x - 3

f (x) = x² - 6x + 5

The quadratic equations are plotted to determine which graph is corresponding to which equation.

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Answer:

[tex]\frac{1}{x+2}-\frac{1}{3} =\frac{1}{x^2 +5x+6}[/tex]

Step-by-step explanation:

\frac{1}{x+2}-\frac{1}{3}  =\frac{1}{x^2 +5x+6}

Answer:

[tex]$\frac{2}{3x} +\frac{7}{5y} $[/tex]

[tex]$\frac{2(5y)}{3x(5y)} +\frac{7(3x)}{5y(3x)} $[/tex]

[tex]$\frac{10y}{15xy} +\frac{21x}{15xy}$ \\[/tex]

[tex]$\frac{10y+21x}{15xy}$ \\[/tex]

\\-----------------------------------\\

[tex]$\frac{1}{x+2} -\frac{1}{x+3} $[/tex]

[tex]$\frac{1(x+3)}{(x+2)(x+3)} -\frac{1(x+2)}{(x+2)(x+3)} $[/tex]

[tex]$ \frac{x+3- (x+2)}{(x+2)(x+3)} $[/tex]

[tex]$ \frac{1}{(x+2)(x+3)} $[/tex]

Answer:

the triangle PQR is similar to RTS

Step-by-step explanation:

QR : RT

2 : 6

this 1:3 ratio is also seen in PR (4) with RS (12)

Answer: it is c.

Step-by-step explanation: you have to think of it as being part of a whole. Bascially proportions.

Answer:

C

Step-by-step explanation:

C

Answer:

The numbers are 7 and 42

Step-by-step explanation:

Let x and y be the numbers

x = 6y

x-y = 35

Substitute the first equation into the second equation

6y -y = 35

Combine like terms

5y = 35

Divide by 5

5y/5 = 35/5

y = 7

Now find x

x = 6*y

x = 6*7

x = 42

Answer:

The two numbers are 42 and 7.

Step-by-step explanation:

6x-x=35

5x=35

x=7

6(7)=42

7=7

Answer: D. They are both congruent

Step-by-step explanation:

The only difference in the two shapes is the locations. One shape is located in the 4th (-x, +y) quadrant, while the other shape is located in the 2nd quadrant (+x, -y)

They two shapes are the same size with the same area, so they are both congruent.

Answer:

The answer on Imagine Math is...

-They are congruent

Step-by-step explanation:

I got the answer right on Imagine Math. Hope my answer can help those who need it. God bless you all!!

Answer: 40

Align in this pattern:

Bigger box : 24 : 15 : 10

smaller box: 6 : 3 : 5

counts: 4: 5 : 2

( multiply 4*5*2 = 40)

Answer:

y + 6 = 5/2(x + 2)

Step-by-step explanation:

The equation of the line passing through given points in point-slope form is y + 6 = (5/2)(x + 2). The correct answer is an option (C).

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Using the given points (-2, -6) and (6, 14), we can calculate the slope as:

slope = (14 - (-6)) / (6 - (-2))

= 20 / 8

= 5/2

Now, we can use the point-slope form of a line:

y - y₁= m(x - x₁)

where m is the slope and (x₁, y₁) is the point on the line. We can choose either of the given points to be the point on the line. Let's choose (-2, -6).

So, the equation of the line in point-slope form is:

y - (-6) = (5/2)(x - (-2))

Simplifying this equation gives us:

y + 6 = (5/2)(x + 2)

Therefore, the equation of the line passing through given points in point-slope form is:

y + 6 = (5/2)(x + 2)

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Answer:

[tex]25[/tex]

Step-by-step explanation:

[tex]125^2 \div 125^{4/3}\\[/tex]

[tex]125^{2-4/3}[/tex]

[tex]125^{2/3}[/tex]

[tex]\sqrt[3]{125} ^2[/tex]

[tex]5^2[/tex]

[tex]=25[/tex]

Answer:

6x³+14x²-5x-3

Step-by-step explanation:

I'm assuming 2x2 is 2x²

(2x²+4x–3)(3x+1)=

6x³+2x²+12x²+4x-9x-3=

6x³+14x²-5x-3

1. 6x³+10x²-5x+3

2. 6x³+14x +5x-3

3. 6x³+14x²-5x-3

4. 6x³-10x²-5x-3

The right answer is 40

please see the attached picture for full solution

Hope it helps

Answer:

Aliane is bruh......................

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the initial amount of nickel is doubling in value each day, it means that the amount of nickel is increasing in geometric progression. The formula for determining the nth term of a geometric sequence is expressed as

Tn = ar^(n - 1)

Where

n represents the common ratio

a represents the first term of the sequence (initial amount)

n represents number of terms in the sequence (days)

r represents common ratio between consecutive terms(days)

From the information given,

r = 2

n = 10

a = 0.05

Therefore, for 10days, T10

T10 = 0.05 × 2^(10 - 1)

T10 = 0.05 × 2^9

T10 = 25.6

Answer:

Having a nickel doubled for 10 days gives 512 nickels, or 2560 cents.

Step-by-step explanation:

Having a nickel doubled in value each day for 10 days, we first write the amount of nickels we have in the first few days, inspect what pattern these numbers take, write a general formula for the sequence formed, and use the formula to find the 10th number easily.

For the first five days we have:

Day1: 1

Day2: 1 + 1 = 2

Day 3: 2 + 2 = 4

Day 4: 4 + 4 = 8

Day 5: = 8 + 8 = 16

...

This is a geometric progression, where the first term is 1, and the common ratio is 2.

The nth term is given as

Tn = ar^(n - 1)

Tn = 1 × 2^(n - 1)

= 2^(n - 1)

That is

Day n = 2^(n - 1)

Day 10 = 2^(10 - 1) = 2^9 = 512 nickels.

But because 1 nickels = 5 cents

512 nickels = 5 × 512 = 2560 cents.

Answer:

A={2,4,6,8}

Let the set be A

Even numbers are those numbers which can be divided by 2.

hope it helps

Good luck on your assignment

Answer:

Step-by-step explanation:

Let the set be A

even numbers means the numbers can be divide by 2

but they said that it has to be less than 10

Now, let's create the set

[tex]a = {2 \: \: 4 \: \: 6 \: \: 8 \: \: } [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!