Nell has a piggy bank full of dimes and nickels. She empties the bank and counts the coins. She counts 30
coins in all, with a total value of $2.90. Nell says she has 14 dimes and 16 nickels.
(a) Write a system of linear equations to represent the number of coins that Nell had in her piggy bank
and the total value of the coins.
(b) Determine whether Nell could have counted the number of dimes and nickels correctly. Show all your
work to prove whether she counted the coins correctly.

Applying limits, it is found that since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.

The function is given by:

[tex]F(x) = \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]

The horizontal asymptote is the limit of the function as x goes to infinity, hence:

[tex]y = \lim_{x \rigtharrow \infty} F(x) = \lim_{x \rigtharrow \infty} \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]

Considering only the terms with the highest exponents:

[tex]y = \lim_{x \rigtharrow \infty} \frac{ax^2}{2x^2} = \frac{a}{2}[/tex]

Since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.

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Answer:

I don't know but

1+2=3

3+3=6

6+4=10

10+5=15

if this helps you make any sense of it.. tell me

Step-by-step explanation:

Answer:

These are triangular numbers.

Step-by-step explanation:

The explicit formula for the nth term of the sequence id 1/2n(n+1).

So for, example, the 6th term =  1/2*6(6+1)

= 21.

They all fit exactly into equilateral triangles.

Answer:

31:18:12

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

Answer:

13 ≈ 10 miles

Step-by-step explanation:

Have a nice day

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving So, the straight-line distance from your starting point is 13 miles.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving,

[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|AC|^2 = |5|^2 + |12|^2 \\ \\|AC|^2 = 25 + 144 \\\\AC = \sqrt{169} \\\\AC = 13[/tex]

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Step-by-step explanation:

According to the given we have following inequalities:

See the graph attached below.

Solution region is within the triangle with marked vertices.

Answer:In each step the number is double that of the previous step.

Step-by-step explanation:

In each step the number is double that of the previous step.

0    5

1    10

2   20

3   40

4    80

This can be written as 5*(2)^n, where n is the step number.  e;g;, 5*2^0 = 5 for step 0.  For step 4:  5*2^4 = 80.

Answer:

y <  -3/2x + 1

Step-by-step explanation:

Points (-2,4) and (2, -2) are on the graph.

The graph crosses the y-axis at 1 so the y-intercept is 1

Slope = (change in the y-value)/(change in the x-value.

Slope = (-2 - 4)/ [2 - (- 2)]

Slope = -6/4

Slope = -3/2  

The equation of the line : y = -3/2x + 1

Now the graph is dotted and it is shaded down.

Therefore the inequality is y <  -3/2x + 1

Answer:

Step-by-step explanation:

If 3 is width and 2 is length 3 units right 1 unit up

If 2 is width and 3 is length 2 units right 3 units up

Answer: k = 3

-2k - 4k = -18

-2k - 4k = -18

-6k = -18

k = -18/-6

k = 3

Would appreciate brainly <3

Answer:

Step-by-step explanation:

=> -2k - 4k = -18

=> -6k = -18

[tex] = > k = \frac{ - 18}{ - 6} [/tex]

=> k = 3 (Ans)

Answer:

y = 1.25x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1.25 and (0, - 3 ) ⇒ c = - 3

y = 1.25x - 3 ← equation of line

Answer:

wedge

Step-by-step explanation:

[tex](x + 4)(x - 5)[/tex]

#carryonlearning

see the attachment for the explanation

Answer:

The key to developing a great credit score is not a formula, but there are certain general recommendations that may be followed. Make on-time payments on your debts on a consistent basis. One strategy to ensure that your payments are made on time is to set up automated payments or electronic reminders for your accounts. If you've fallen behind on your payments, get up to date and remain up to date.

Step-by-step explanation:

Hope it helps if this is what you mean;)

Answer:

I believe that its C, but don't get mad at me if I get it wrong

Answer:

a=12

Step-by-step explanation:

brainlest if this helped so much !

Answer:

Its A. 12

Step-by-step explanation:

Hope this helps!

Answer:

Smaller angle : 30 degrees

Bigger Angle : 65 degrees

Step-by-step explanation:

85+6x+13x=180, 85+19x=180,19x=95,x=5

Smaller angle : 30

Bigger Angle : 65

Answer:

The answer is C

Step-by-step explanation:

The range of the function plotted on the graph is [-6, 9].

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is the graph of a function shown in the image.

Range of a function is the set of {y} - values that exist for the values in the domain of the function. We can see from the graph that the values of {y} range from {y} = - 6 to {y} = 9 over the entire domain. See the black dots, that black dots mean that the both the numbers -6 and 9 are included in the range. So, in the set form, we can write the range of the function as -Range : [-6, 9].

Therefore, the range of the function plotted on the graph is [-6, 9].

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Answer:

B. 12 per 16 minutes

Step-by-step explanation:

4x4=16, so multiply 3×4 to get 12.

Darrel has 50 grapes in all.

Lia has 72 green grapes, and she shares them equally between 8 friends. To find out how many grapes each friend receives, divide the total number of grapes by the number of friends:

Number of grapes each friend receives = 72 / 8 = 9

Now, Darrel adds 41 green grapes to his share, so the total number of grapes he has is:

Total grapes for Darrel = Number of grapes Darrel received initially + Additional grapes added by Darrel

Total grapes for Darrel = 9 + 41 = 50

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Step-by-step explanation:

option D is correct.

hope this answer helps you dear! take care

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The additional information to prove the Triangles congruent is ~

The Triangles are congruent by SAS congruency criteria ~

Answer:

144 cm²

Step-by-step explanation:

Remember: If you are finding the area of a square and are given a side, you can simply square it and it will be the area. Thus:

12 x 12 cm = Area of tile.

=> 144 cm² = Area of tile.

Therefore, 144 cm² is the area.

Hoped this helped.

Answer:12

Step-by-step explanation:

if 4y=12

then y=3

4y=2x

then as 4y=12 then 2x=12

Answer: 2x=12

Step-by-step explanation:

so if 4y=2x we know that 2x is also equal to 12

2x=12

Answer:

£120

Step-by-step explanation:

original_price = discounted_price / (1 - discount / 100)

78/(1-35/100)=120

hope this help

pls mark as brainliest

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{3}{4}[/tex] x - 4 ← is in slope- intercept form

with slope m = [tex]\frac{3}{4}[/tex]

Parallel lines have equal slopes

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here (a, b ) = (- 1, 7 ) , then

y - 7 = [tex]\frac{3}{4}[/tex] (x - (- 1) ) , that is

y - 7 = [tex]\frac{3}{4}[/tex] (x + 1) → A

Answer: x=2

Step-by-step explanation:

Answer:

it's b

Step-by-step explanation:

because it is sum and difference of 3x and 5

Answer:

-9?????????????????????????

Step-by-step explanation: