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Varvara68 [4.7K]
3 years ago
6

B(a+b)+a; given a =9 and b=4

Mathematics
2 answers:
Harman [31]3 years ago
8 0

b(a+b) + a = 4(9+4) + 9

4(9+4) + 9 = 61

So the answer is 61

Hope this helps

Anna007 [38]3 years ago
4 0

To solve this expression, we simply have to substitute in the given values for a and b into the expression. This means we should replace every a with a 9 and every b with a 4, and then simplify from there. This is modeled below:

b(a+b) + a

4(9+4) + 9

To simplify, we must use the order of operations, which is outlined by PEMDAS. This states that we should simplify what is in parentheses first, then exponents next, after that multiplication and division, and finally addition or subtraction. This lets us know that we should solve what is in the parentheses first in our example.

4(9+4) + 9

4(13) + 9

Because the 4 and 13 are being multiplied together, we should compute that next because it is the next letter in PEMDAS in the expression.

52 + 9

Finally, we can add these two numbers together to find our answer.

61

Therefore, your answer is 61.

Hope this helps!

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If t8 = 4 and t12 = −2, find the first three terms of the arithmetic sequence.
Andreas93 [3]

Answer:

  14.5, 13, 11.5

Step-by-step explanation:

The general term (an) of an arithmetic sequence with first term a1 and common difference d is ...

  an = a1 + d(n-1)

Then the 8th term is ...

  a8 = a1 + d(8-1)

and the 12th term is ...

  a12 = a1 + d(12-1)

So, the difference between these terms is ...

  a12 -a8 = (a1 +11d) -(a1 +7d) = 4d

  = (-2-4) = -6 . . . . . substituting values for a12 and a8

Then the common difference is

... d = -6/4 = -3/2

Using this, we can find a1 from a8.

  4 = a1 +7·(-3/2) = a1 - 10.5

  14.5 = a1 . . . . . . . add 10.5 to both sides of the equation

This is the first term. The second is this value with the common difference added:

  14.5 + (-1.5) = 13

The third term is this with the common difference added:

  13 + (-1.5) = 11.5

In summary, the first three terms are ...

  14.5, 13, 11.5

5 0
3 years ago
Could someone please help me with these two?
nlexa [21]
Hello there!

4³ + 2(3 - 2)

= 64 + 2(1)

= 64 + 2

= 66

The correct answer is option C


The second part*

A variable cubed >>>>> x³

Quotient of some number and three >>> b ÷ 3

Product of an unknown value and three >>>>> 3a

Three less than a variable >>>y - 3

Three more than some number >>>> z + 3


If you have any misunderstanding, please let me know. As always, I am here to help!
8 0
3 years ago
Read 2 more answers
Please help me A.S.A.P.
monitta

Answer: a. 450

b. 7950

Step-by-step explanation:

If Cheryl earns 6% interest during the 6 years she will have

(7500*6)/100=450

450 is the interest that she received

her new balance will be

7500+450=7950

7 0
3 years ago
Given that f(x)=x^2-7x-1, g(x)=2x-3, and h(x)=4x-5 find each function. (f+g)(x)
Alexxandr [17]

Answer:

x^2-7x-1+2x-3

x^2-5x-4

5 0
3 years ago
Eighteen 2.5 gallon buckets are needed to fill a cistern with water. Find the constant of variation. Please help! Thank you!
Allushta [10]

Given:

Eighteen 2.5 gallon buckets are needed to fill a cistern with water.

To find:

The constant of variation.

Solution:

If y is directly proportional to x, then

y\propto x

y=kx

Where, k is constant of variation.

In the given problem, water in cistern (w) is directly proportional to number of buckets (n).

w\propto n

w=2.5n        (Capacity of each bucket is 2.5 gallons)

Therefore, the constant of variation is 2.5.

6 0
3 years ago
Read 2 more answers
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