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o-na [289]
1 year ago
13

find the equation of the axis of symmetry for this equation. f(x) = 6x^2 - 3x + 49. hint: to find the axis of symmetry, use equa

tion: x = -b/2a
Mathematics
1 answer:
Olenka [21]1 year ago
8 0

We want to find the axis of symmetry of the function;

f(x)=6x^2-3x+49

STEP 1:

The equation for the axis of symmetry of a line is given as;

x=-\frac{b}{2a}

From the equation, a = 6 and b = -3, so,

STEP 2: Insert the values of a and b into the equation to obtain;

x=-\frac{-3}{2\times6}=--\frac{3}{12}=+\frac{1}{4}

CONCLUSION:

Therefore, we see that the axis of symmetry is the line;

x=\frac{1}{4}

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Evaluate <br> g(4): g(x)=8x^2+9x-7<br><br> A. 121<br> B. 135<br> C. 154<br> D. 157
inn [45]
The answer is:  [D]:  " 157" .
________________________________________________________
Explanation:
______________________________________________________

 g(x) = 8x² + 9x − 7 ;

 g(4) = 8(4²) + 9(4) <span>− 7 ;
</span>
        = 8(4*4) + 36 <span>− 7 ;
</span>
        = 8(16) + 36 <span>− 7 ;
</span>
        = 128 + 36 <span>− 7 ;
</span>
        = 164 − 7 ;

       =  <span>157 .</span>
_______________________________________________________
The answer is:  [D]:  " 157" .
_______________________________________________________
7 0
3 years ago
a math student is standing 40 feet from the base of a water tower. the angle of elevation from her horizontal line of sight is 7
Lerok [7]

9514 1404 393

Answer:

  128 ft

Step-by-step explanation:

The height of the tower above eye-height is related to the angle by ...

  Tan = Opposite/Adjacent

  tan(72°) = (tower height above eye height)/(40 ft)

  tower height above eye height = (40 ft)×tan(72°) = 123 ft

Since eye height is 5 ft, the total height of the tower from the ground is ...

  tower height = eye height + height above eye height

  tower height = 5 ft + 123 ft

  tower height = 128 ft

4 0
2 years ago
Blood is a buffer solution. When carbon dioxide is absorbed into the bloodstream, it produces carbonic acid and lowers the pH. T
Irina18 [472]

Answer:

x ≅ 20.10 torr

Step-by-step explanation:

Given that the equation which models blood pH in the question is;

pH(x)=6.1+log(800/x)

where;

pH = 7.7

x = partial pressure of carbon dioxide in arterial blood, measured in torr.

we are asked to find (x)

In order to do that, we use the given equation:

pH(x)=6.1+log(800/x)

since pH = 7.7

7.7 = 6.1 + log (800/x)

7.7 - 6.1 =  log (800/x)

1.6 =  log (800/x)

10^{1.6}= \frac{800}{x}

x= \frac{800}{10^{1.6}}

x = 20.09509145

x ≅ 20.10 torr

4 0
3 years ago
kandy is financing a $335,000 mortgage for 30 years at a fixed rate of 7.5% what is the total cost of the principal and interest
-BARSIC- [3]
Given:
<span>F= $335,000
n = 30 years at a fixed rate of i = 7.5%

Required:
the total cost of the principal

Solution:
F = P(1+i)^n
P = F/(1+i)^n
P = 335,000 / (1.0.075)^30
P = 38,264.05</span>
8 0
3 years ago
What is the least common denominator (LCD) for these fractions? 2/7 and 9/10
yanalaym [24]

Answer:

70

Step-by-step explanation:

7 and 10 = 70, This is the correct answer because 7 times 10 equals 70, and 10 times 7 equals 70 too, so 70 is the LCD

7 and 10 = 1, This is impossible because anything multiplied by 7 naturally does not get 1 as a answer, including 10 too. X

7 and 10 = 10, Only 10 times 1 equals 10, but 7 a natural whole number does not equal 10. X

7 and 10 = 35, Only 7 times 5 equals 35, but 10 times a whole number does not equal 35. X

4 0
3 years ago
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