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4 years ago

5a - b - a + 1/2b please jelp

Mathematics

1 answer:

son4ous [18]4 years ago

3 0

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▹ Answer

4a - b + 1/2b

▹ Step-by-Step Explanation

5a - b -a + 1/2b

Collect like terms

4a - b + 1/2b

Final Answer

4a - b + 1/2b

Hope this helps!

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- 2 Points

Tpy6a [65]

Answer:

$(\frac{5}{2},-\frac{7}{2})$

Step-by-step explanation:

The complete question is

What is the midpoint of the segment shown below?

(1,-1) (4, -6)

we know that

The formula to calculate the midpoint between two points is equal to

$M(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

we have

$(x_1,y_1)=(1,-1)\\(x_2,y_2)=(4,-6)$

substitute the given values

$M(\frac{1+4}{2},\frac{-1-6}{2})$

$M(\frac{5}{2},-\frac{7}{2})$

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3 years ago

This is an absolute value problem with LETTERS?! Absolute madness (no pun intended)

MAVERICK [17]

Answer:

Step-by-step explanation:

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8 0

3 years ago

In a certain year, exactly 1,481 fewer women than men applied to U.S. medical schools. If 29,250 men applied, what was the total

Oxana [17]

The total number of people who applied to U.S. medical schools this year would be 57,019.

29,250 - 1,481 = 27,769
29,250 + 27,769 = 57,019

3 0

3 years ago

Juan is three times as old as Gabe and Gabe is six years older than Catherine. If the sum of their ages is 149, how old is each

cestrela7 [59]

Answer:

Juan = 93 years.

Gabe = 31 years.

Catherine = 25 years.

Step-by-step explanation:

Let the age of Juan = J

Let the age of Gabe = G

Let the age of Catherine = C

Translating the word problem into an algebraic equation, we have;

$J = 3G$ ..........equation 1

$G = C + 6$ ........equation 2

$J + G + C = 149$ ........equation 3

We would solve the linear equations by using the substitution method;

Substituting equation 2 into equation 1;

$J = 3(C + 6)$

$J = 3C + 18$ ........equation 4

Substituting equation 2 and equation 4 into equation 3;

$(3C + 18) + (C + 6) + C = 149$

Simplifying the equation, we have;

$5C + 24 = 149$

$5C = 149 - 24$

$5C = 125$

$C = \frac {125}{5}$

C = 25 years.

To find G; from equation 2

$G = C + 6$

Substituting the value of "C" into equation 2, we have;

$G = 25 + 6$

G = 31 years.

To find J; from equation 1

$J = 3G$

Substituting the value of "G" into equation 1, we have;

$J = 3 * 31$

J = 93 years.

Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old.

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3 years ago

Identify the maximum value of the function y = -472 - 24x + -36.

Gnesinka [82]

Answer:

I assume that this is a quadratic equation, something like:

y = -47*x^2 - 24x + (-36)

we can rewrite it as:

y = -47x^2 - 24x - 36

Ok, this is a quadratic equation and we want to find the maximum value.

First, you can notice that the leading coefficient is negative.

This means that the arms of the graph will open downwards.

Then we can conclude that the vertex of the equation is the "higher" point, thus the maximum value will be at the vertex.

Remember that for a general function

y = a*x^2 + b*x + c

the vertex is at:

x = -b/2a

So, in our case:

y = -47x^2 - 24x - 36

The vertex will be at:

x = -(-24)/(2*-47) = -12/47

So we just need to evaluate the function in this to find the maximum value.

Remember that "evaluating" the function in x = -12/47 means that we need to change al the "x" by the number (-12/47)

y = -47*(-12/47)^2 - 24*(-12/47) - 36

y = -32.94

That is the maximum value of the function, -32.94

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3 years ago