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Black_prince [1.1K]
2 years ago
12

Solve the equation below: 11(x+10)=132

Mathematics
1 answer:
storchak [24]2 years ago
6 0

Answer:

x = 2

Step-by-step explanation:

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1-25. Given f(x) =- 2/3x +3 and g(x) = 2x2 - 5, complete parts (a) through (f).
Korolek [52]

Answer:

When f or g are equivalent to a number you are solving for x. For example b, d, e, f. In the equation g(x) =2x2-5 I assumed 2 was a typo. So, if it's incorrect, please use same steps and just adjust the solution.

Step-by-step explanation:

f(x)=-\frac{2}{3x}+3

a) f(3)=-\frac{2}{2(3)} +3

           =-\frac{1}{3}+3 =\frac{-1+6}{3} =\frac{5}{3}

b) f(x)=-5

      -5=-\frac{2}{3x}+3

      -8=-\frac{2}{3x}

  -24x=-2

        x=\frac{1}{12}

g(x)=2x-5

c) g(-3)=2(-3)-5

               =-6-5

               =-11

d) g(x)=-7

      -7=2x-5

      -2=2x

        x=-1

e) g(x)=8

        8=2x-5

       12=2x

        x=6

f)  g(x)=9

         9=2x-5

        11=2x

         x=\frac{11}{2}

3 0
3 years ago
Which equation has a graph that is perpendicular to the graph of -x + 6y = -12?
serious [3.7K]

Answer:

c) 6x + y = -52  is required equation perpendicular to the given equation.

Step-by-step explanation:

If the equation is of the form    : y = mx  + C.

Here m = slope of the equation.

Two equations are said to be perpendicular if the product of their respective slopes is -1.

Here, equation 1 :  -x + 6y = -12

or, 6y = -12  + x

or, y = (x/6)  - 2

⇒Slope of line 1 = (1/6)

Now, for equation 2  to be  perpendicular:

Check for each equation:

a. x + 6y = -67       ⇒  6y = -67  - x

or, y = (-x/6)  - (67/6)      ⇒Slope of line 2 = (-1/6)

but \frac{1}{6} \times \frac{-1}{6}  \neq -1

b. x - 6y = -52   ⇒  -6y = -52  - x

or, y = (x/6)  + (52/6)      ⇒Slope of line 2 = (1/6)

but \frac{1}{6} \times \frac{1}{6}  \neq -1

c. 6x + y = -52    

or, y =y = -52  - 6x      ⇒Slope of line 2 = (-6)

\frac{1}{6} \times (-6)  =  -1

Hence, 6x + y = -52  is required equation 2.

d. 6x - y = 52  ⇒  -y = 52  - 6x

or, y = 6x   - 52      ⇒Slope of line 2 = (6)

but \frac{1}{6} \times 6  \neq -1

Hence,  6x + y = -52  is  the  only required equation .

3 0
3 years ago
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Which pair shows equivalent expressions?
Yuliya22 [10]
C is the answer to this question.
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2 years ago
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The parent function f(x) = x3 is translated to form g(x), as shown on the graph. The translated function can be written in the f
Ahat [919]

Answer:

First option

h = 4 and k = - 2

Step-by-step explanation:

f(x) = x^3 translated to g(x) = (x – h)^3 + k.

f(x) transformed to g(x) with 4 units to the right and 2 units down

g(x) = (x - 4)^3 - 2

h = 4 and k = - 2

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The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 9 in. and 12 in. long. What's the length
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The length of he altitude to the hypotenuse is the square root of 108
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