Suppose you earned 7t - 1 dollars on Monday and 8t + 5 dollars on Tuesday. What were your total earnings? Simplify you answer. Please help!!!A: -t + 4 dollars
B: -t - 6 dollars
C: 15t - 6 dollars
D: 15t + 4 dollars

Answers

Answer 1

Answer: D) You set the equation together like this 7t-1+8t+5 , then you simplify. You would get 15t + 4.

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Write x^2 − 8x + 13 = 0 in the form (x − a)^2 = b, where a and b are integers.(x − 4)^2 = 3
(x − 3)^2 = 2
(x − 2)^2 = 1
(x − 1)^2 = 4

Can anyone show the steps on how to get the answer?

Answers

Sure.
The answer is (x-4)^2 = 3

Procedure

Complete a perfect square trinomial to factor:

x^2 - 8x + 13 = 0

Notice that -8x = 2(x)(4)

Given tha x is the square root of x^2, we want to include the square of 4, which is 16.

We must just add 16 to the first two terms, which, of course, obliges to substract the same number to maintain the equality. This way:

(x^2 - 8x + 16) + -16 + 13= 0

Now the three terms in parenthesis can be factor as a binomial squared:

(x - 4)^2 + 13 -16 =0

(x - 4)^2 - 3 = 0

(x - 4)^2 = 3 Which is the answer.

Let me know whether you could follow the explanation.

1Solve this quadratic using two different
methods. Show both methods.
x2 + 4x - 5 = 0

Answers

Answer:

x = -5 or x = 1

Step-by-step explanation:

$x^(2) + 4x - 5 = 0\n(x+5)(x-1)=0\n$

If f(n) = - 5n - 2, then f(3) is _____.

Answers

We have f(n) = - 5n - 2
So f(3) = - 5×(3) - 2 = - 17

Select the proper fraction.
A.56/12
B.132/12
C.132/234
D.108/12

Answers

C.
For a fraction to be proper, the denominator must be greater than the numerator.

What is the solution of the equation
7x + 3 = 2x + 13

Answers

Answer:

Step-by-step explanation:

7x + 3 = 2x + 13

5x + 3 = 13

5x = 10

x = 2

Answer:

x = 2

Step-by-step explanation:

given

7x + 3 = 2x + 13 ( subtract 2x from both sides )

7x - 2x + 3 = 2x - 2x + 13 ( simplify both sides )

5x + 3 = 13 ( subtract 3 from both sides )

5x + 3 - 3 = 13 - 3 ( simplify both sides )

5x = 10 ( divide both sides by 5 )

$(5)/(5)$ x = $(10)/(5)$ , that is

x = 2

I REALLY NEED HELP !!!The number of hours, t, that bacteria spread 10-fold can be modeled by the equation B(t) = B0(10)^3t. There are five bacteria present initially and a biologist wishes to find out how many hours will elapse until there are 2,000 bacteria present. What is the exact value for the number of hours elapsed, t, in the equation 2,000 = 5(10)^3t?

t equals start fraction log of forty over three end fraction
t equals start fraction log of two thousand over three times log of fifty end fraction
t equals start fraction log of four hundred over log of three end fraction
t equals start fraction log of four hundred over three end fraction