How would u solve this equation 7 4x-9=-6

Answers

Answer 1
Answer: Depending on your question...

7(4x) - 9 = -6
28x -9 = -6
28x = 3
x = 3/28

OR

7 + 4x - 9 = -6
4x - 2 = -6
4x = -4
x = -1

Hope that helps :)

Answer 2
Answer: There are multiple different ways to solve the question because we don't know what is between 7 and 4.

7 + 4x - 9 = -6
Subtract 7 on both sides.
4x - 9 = -13
Add 9 on both sides.
4x = -4
Divide by 4 on both sides.
x = -1

or

7 - 4x - 9 = -6
Add 9 on both sides.
7 - 4x = 3
Add 4x on both sides.
7 = 4x +3
Subtract 3 on both sides.
4 = 4x
Divide by 4 on both sides.
x = 4

Depending on what your question is, those are the answers.

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Which value of x must be excluded from the domain of the function, y = 9 / 2(x + 7)?a) -2
b) -7
c) 2
d) 7

Answers

b) -7 because the dominator must be different by 0.

2(x + 7) ≠ 0    |divide both sides by 2

x + 7 ≠ 0    |subtract 7 from both sides

x ≠ -7

Quick Algebra questions please :) 1). Which values best approximate the solutions of -4x^2+11x+2=0?
A). 1.5 and 2.9
B). -0.2 and 2.9
C). 2 and 2.9
D). -0.2 and 2

2). What is the solution set of 4x^2-3=11x?
A). {-3/4,1}
B). {1/4,-3}
C). {-1/4,3}
D). {3/4,-1}

3). What would the graph of g(x)=-(x+2)^2+5 look like?

Answers

1. -4x² + 11x + 2 = 0
     x = -(11) ± √((11)² - 4(-4)(2))
                         2(-4)
     x = -11 ± √(121 + 32)
                     -8
     x = -11 ± √(153)
                  -8
     x = -11 ± 3√(17)
                 -8
     x = -11 ± 3(4.1)  
                -8
     x = -11 ± 12.3
                -8
     x = -11 + 12.3    or    x = -11 - 12.3
                -8                             -8
     x = 1.3         or          x = -23.3
           -8                                -8
     x = -0.1625       or      x = 2.9125
     x ≈ -0.2         or          x ≈ 2.9

The answer is B.

2.          4x² - 3 = 11x
    4x² - 11x - 3 = 0
    x = -(-11) ± √((-11)² - 4(4)(-3))
                         2(4)
    x = 11 ± √(121 + 48)
                      8
    x = 11 ± √(169)
                 8
    x = 11 ± 13
               8
    x = 11 + 13    or    x = 11 - 13
              8                           8
    x = 24         or       x = -2
           8                           8
   x = 3         or          x = -0.25

The answer is C.

3. g(x) = -1(x + 2)² + 5
    g(x) = -1(x + 2)(x + 2) + 5
    g(x) = -1(x(x + 2) + 2(x + 2)) + 5
    g(x) = -1(x(x) + x(2) + 2(x) + 2(2)) + 5
    g(x) = -1(x² + 2x + 2x + 4) + 5
    g(x) = -1(x² + 4x + 4) + 5
    g(x) = -1(x²) - 1(4x) - 1(4) + 5
    g(x) = -x² - 4x - 4 + 5
    g(x) = -x² - 4x + 1

What is the half of 15

Answers

Half of 15 is

15/2 = 7.5
half means divide by 215/2= 7.5

What is the value of b^2 0 4ac for the following equation?2x^2 0 2x 0 1 = 0
04
0
12

Answers

2x^2 - 2x - 1 = 0 a = 2, b = -2, c = -1 b^2 - 4ac = (-2)^2 - 4(2)(-1) = 4 + 8 = 12
so the answer is 12

Anton's family drove 216 mi to the lake averaging 48 ​ mi/h ​ . On the return trip home they averaged 54 mi/h . What was the total time that Anton's family spent driving to and from the lake?

8.0 h

8.5 h

9.0 h

9.5 h

Answers

9.0 is the answer you are looking for
i hope i helped out!

The correct answer is:

B.(8.5 h)

I took the test, hope this helps!

the simple interest I (in dollars) for a savings account is jointly proportional to the product of time (in years) and the principal P (in dollars). After 11 months the interest on a principal of $3970 is $86. What is the constant of the variation

Answers

Simple interest I is jointly proportional to the product of time in years and the principal, therefore; mathematically;
I α Pt
introducing a constant;
I = kPt; but I = $ 86, P = $ 3970, while t = 11/12 years
Thus; k = I/Pt
            = 86/ 3970(11/12)
            = 0.0236
Therefore, the constant of the variation is ≈ 0.024