A money bank has twice as many nickels as dimes. There is exactly $2.00 in the bank. How many nickels are there?

Maru [420]

First, we have to understand the slope-intercept form.

$\large \boxed{y = mx + b}$

A linear function/equation has three forms and the slope-intercept is one of the form. It is also commonly used in Function topic while the other two forms are commonly used in Analytic Geometry.

In the slope-intercept form, the m-term represents the slope while b-term represents the y-intercept of a graph.

Which equation represents a linear function that has a slope of 5 and a y-intercept of -6.

As you notice the bold, italic and underlined words in the question that I quoted or rewrote. I've just explained that the slope is m-term and y-intercept is b-term.

Therefore, substitute m = 5 and b = -6 in the equation.

$\large{y = mx + b \longrightarrow \bold{y = 5x + ( - 6)}} \\ \large \boxed{ \tt{ \purple{y = 5x - 6}}}$

I hope this helps! Let me know if you have any questions regarding the linear function, don't hestitate to ask. Good luck with your assignment and have a nice day!

5 0

2 years ago

Simplify (3x + 5) + (2x - 9) - (4x+3). A.) X-7 B.) -X-7 C.) 9x1 D) 9x1

erica [24]

Answer:

x -7

Step-by-step explanation:

(3x + 5) + (2x - 9) - (4x+3)

3x + 5 + 2x - 9 -4x -3

x -7

8 0

2 years ago

Read 2 more answers

Matilda always eats at least one of the following for breakfast: cereal, bread, or yogurt. On Monday, she is especially picky. I

Annette [7]

Answer:

Matilda eats Cereal on Monday.

Step-by-step explanation:

Breakfast options for Matilda are: Cereal (C), Bread (B) or Yogurt (Y).

Condition 1: If she eats cereal and bread she also eats yogurt.

Then Matilda's breakfast combination is: C + B + Y.

Condition 2: If she eats bread or yogurt, she also eats cereal.

Then Matilda's breakfast combination is: C + B or C + Y.

Condition 3: She never eats both cereal and yogurt.

Then Matilda's breakfast combination does not include is: C + Y.

Condition 4: She always eats bread or cereal.

Then Matilda's breakfast combination always includes is: C or B.

If Matilda eats bread (B) then according to Condition 2 she eats cereal (C) also. And since she eats both C and B she eats yogurt (Y) also.

But according to Condition 3 Matilda never eats both cereal and yogurt.

Hence she can never have all three for breakfast.

She cannot eat bread (B) alone [according to Condition 2], Matilda is left with only one option, i.e. Cereal (C).

Thus, Matilda eats Cereal for breakfast on Monday.

5 0

3 years ago

Simplify the following expression 7d-9-6d-4

kotykmax [81]

See picture for answer.

3 0

3 years ago

Read 2 more answers

The results of a common standardized test used in psychology research is designed so that the population mean is 145 and the sta

anygoal [31]

The value 155 is zero standard deviations from the mean, because x = μ , and therefore z = 0.

<h3>What is Standard Deviation?</h3>

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

The key concept we need to manage here is the z-scores , and we can obtain a z-score using the next formula:

z = (x - μ)/σ ..............[1]

Where

z is the z-score.

x is the raw score: an observation from the normally distributed data that we want standardize using [1].

μ is the population mean.

σ is the population standard deviation.

These standardized values have always the same probability in the standard normal distribution, and this is the advantage of using it for calculating probabilities for normally distributed data.

A subject earns a score of 155.

From the question, we know that:

x = 155.

μ = 155

σ = 50

Having into account all the previous information, we can say that the raw score, x = 155, is zero standard deviations units from the mean. The subject earned a score that equals the population mean. Then, using [1]:

z = (x - μ)/σ

z = (155 - 155) / 50

z = 0/50

z = 0

As we say before, the z-score "tells us" the distance from the population mean, and in this case this value equals zero:

x = μ

Therefore, z = 0

So, the value 155 is zero standard deviations from the [population] mean.

Learn more about Standard Deviation from:

brainly.com/question/13905583

#SPJ1

8 0

2 years ago