What is the slope of the equation Y=5/4x-7/4?

Mathematics

1 answer:

maksim [4K]2 years ago

4 0

Answer:

Step-by-step explanation:

Compare the equation with y = mx + b where m is slope and b is y intercept

y = (5/4)x - (7/4)

Slope = m = 5/4

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Two solutions of differently concentrations of acid are mixed creating 40 mL of a soul union that is 32% acid one-quarter of the

AleksAgata [21]

Answer: Three quarters (30 ml) is made up of a 36% acid solution.

Step-by-step explanation:

Since we have given that

Total amount of solution = 40 ml

One- quarter of the solution is given by

$\frac{1}{4}\times 40\ ml\\\\=10\ ml$

Three-quarter of the solution is given by

$\frac{3}{4}\times 40\\\\=30\ ml$

According to question, we have

10 ml of solution is made up of = 20% of acid solution

30 ml of solution is made up of = say<em> 'c </em>' of acid solution

40 ml of solution is made up of = 32 % of acid solution

So, our equation becomes,

$10\times 0.2+30\times c=40\times 0.32\\\\2+30c=12.8\\\\30c=12.8-2\\\\30c=10.8\\\\c=\frac{10.8}{30}\\\\c=0.36\\\\c=36\%$

Hence, three quarters (30 ml) is made up of a 36% acid solution.

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3 years ago

Lettuce is planted on a 46-acre field. The field is divided into one-acre subplots. A sample is taken from each subplot to est

nalin [4]

The correct answer is B. Stratified sampling is used since the field is divided into subplots and a random sample is taken from each subplot.

Explanation:

Sampling refers to the process followed by researchers to select a group of individuals from a larger group; considering in most studies it is not possible to analyze all the population. In the case of stratified sampling, this involves dividing the general population into smaller groups, which are known as strata; after this, the researcher selects a specific number of individuals from each strata. This method guarantees the sample is selected randomly, and therefore the study is not biased. Stratified sampling was the method used in the example described because, in this, the general population (46-acre field) was divided into subplots that represent the strata. Also, after this, the researcher selected one random sample.

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2 years ago

I need the answer to this question

bija089 [108]

If you divide the original equation by "a", you have your answer.
30/a = (a*60)/a = 60*(a/a)
30/a = 60

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3 years ago

F(x) = x ^ 2 + 6x - 4 in vertex form

Svetach [21]

Answer:y=(x-6)^2-4

Step-by-step explanation:

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