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Kobotan [32]
3 years ago
7

What is 4(4m-3)-(m-5)=52 step by step

Mathematics
1 answer:
ch4aika [34]3 years ago
8 0

Answer:

-3

Step-by-step explanation:

Simplifying

4(4m + -3) + -1(m + -5) = -52

Reorder the terms:

4(-3 + 4m) + -1(m + -5) = -52

(-3 * 4 + 4m * 4) + -1(m + -5) = -52

(-12 + 16m) + -1(m + -5) = -52

Reorder the terms:

-12 + 16m + -1(-5 + m) = -52

-12 + 16m + (-5 * -1 + m * -1) = -52

-12 + 16m + (5 + -1m) = -52

Reorder the terms:

-12 + 5 + 16m + -1m = -52

Combine like terms: -12 + 5 = -7

-7 + 16m + -1m = -52

Combine like terms: 16m + -1m = 15m

-7 + 15m = -52

Solving

-7 + 15m = -52

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + 15m = -52 + 7

Combine like terms: -7 + 7 = 0

0 + 15m = -52 + 7

15m = -52 + 7

Combine like terms: -52 + 7 = -45

15m = -45

Divide each side by '15'.

m = -3

Simplifying

m = -3

Hope this helped :)

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Using <u>linear function concepts</u>, it is found that the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which represents by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • The explanatory variable fat is the input.
  • The response variable calories is the output.

The equation is:

y = 121 + 1.42x

  • The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.
  • The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.

Thus, the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A similar problem is given at brainly.com/question/16302622

8 0
2 years ago
let a,b,c,d be four integers (not necessarily distinct) in the set {1,2,3,4,5}. the no. of polynomials x^4+ax^3+bx^2+cx+d which
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By either long or synthetic division, it's easy to show that

\dfrac{x^4+ax^3+bx^2+cx+d}{x+1}=x^3+(a-1)x^2+(-a+b+1)x+(a-b+c-1)-\dfrac{a-b+c-d-1}{x+1}

The quartic will be exactly divisible by x+1 when the numerator of the remainder term vanishes, or for those values of a,b,c,d such that

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Answer:

$29.70

Step-by-step explanation:

1. First, we have to find how much 10% of 33 is!

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2. Okay, now that we know 3.3 is 10% of 33, we need to subtract 3.3 from 33 to get the amount Jen will pay for the dress.

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Therefore, Jen will pay $29.70 for the dress.

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Answer:

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Given the following :

Probability estimates given:

Very successful = 0.3

Moderately successful = 0.4

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The probability mass function of X:

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When x = 10:

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When x = 5:

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When x = 1:

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Answer:

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