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kramer
2 years ago
13

Joshua has (10+6a^2-5a) dollars in his savings account. Maranda had (4a^2a+3) dollars in her saving account how much more money

does Joshua have than maranda?
Mathematics
2 answers:
Ulleksa [173]2 years ago
4 0

Given Information:

We are given two polynomial equations which represents the amount of savings in dollars

Joshua's savings = 6a² - 5a + 10 dollars

Maranda savings = 4a² + a + 3 dollars  (assuming +a since the sign is missing in the question)

Required Information:

How much more money does Joshua have than Maranda = ?

Answer:

Joshua has 2a² - 6a + 7 dollars more than Maranda

Step-by-step explanation:

We can subtract the amount of savings of Maranda from the amount of savings of Joshua, and we will get the excess amount of savings that Joshua has.

Joshua = 6a² - 5a + 10 dollars

Maranda = 4a² + a + 3 dollars

Excess = 6a² - 5a + 10 - (4a² + a + 3)

change the sign of terms

Excess = 6a² - 5a + 10 - 4a² - a - 3

combine the like terms

Excess = (6a²-4a²)  (-5a-a)  (+10-3)

Excess = 2a² - 6a + 7

Therefore, Joshua has 2a² - 6a + 7 dollars more than Maranda.

solniwko [45]2 years ago
3 0

Answer:

Joshua has 2a^2 -6a + 7 more than Maranda.

Step-by-step explanation:

Joshua has 6a^2 -5a + 10 dollars and Maranda has 4a^2 + a + 3 to find out how much more money Joshua has we need to subtract the amount he has by the amount of Maranda's account. Since both expressions are pollynomial we'll have to subtract the numbers wich are multiplying the same power, so we do as follow:

6a^2 - 5a + 10 - (4a^2 + a + 3)

6a^2 - 5a + 10 - 4a^2 -a -3

6a^2 - 4a^2 -5a -a + 10 -3

2a^2 -6a + 7

Joshua has 2a^2 -6a + 7 more than Maranda.

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The two lines y= 6x+15 and y= mx+4 intersect at x= -2. What is the y-coordinate of their intersection point
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Answer:

The y-coordinate of their intersection point is 3

That is y=3

Step-by-step explanation:

Given two lines are y=6x+15 and y=mx+4

Given that the two lines intersect at x=-2

To find the y coordinate of their intersection point :

Equating the two lines

6x+15=mx+4

6x+15-mx-4=0

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(6-m)x+11=0

At x=-2  (6-m)x+11=0

(6-m)(-2)+11=0

(6-m)(-2)=-11

6-m=\frac{11}{2}

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m=\frac{1}{2}

Substitute the value m=\frac{1}{2} in y=mx+4 we get

y=\frac{1}{2}x+4

At x=-2 y=\frac{1}{2}(-2)+4

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Therefore y=3

Therefore the y-coordinate of their intersection point is 3

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3 years ago
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3(2x + w)

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Hi!

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mixas84 [53]

We have that  the fourth term of an arithmetic sequence is

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Option C

From the question we are told

What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?

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(Explain your work)

Generally the equation for the  arithmetic sequence  is mathematically given as

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