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Tems11 [23]
3 years ago
9

Use the function below to find F(4).

Mathematics
2 answers:
Citrus2011 [14]3 years ago
5 0

Answer:

5/16

Step-by-step explanation:

f(x) = 5 * (1/2) ^x

Let x=4

f(4) = 5 * (1/2) ^4

     = 5 * (1/16)

    = 5/16

AlexFokin [52]3 years ago
3 0
5/6 is the answer.
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Through (-1,5) , perp to y =1/9x+2 write the slope intercept form for the equation
ycow [4]

Answer:

y=-9x-4

Step-by-step explanation:

Perpendicular lines meet the following condition:

m2*m1= -1 (a)

where m is the slope of a line

m1 is given through equation of line 1, y =1/9 x+2

m2 must be -9 -> from eq. (a)

The Line has the following equation: y=mx+b, where m=-9 and the b is the interception with y axis.

Evaluating the above equation in (-1,5) we have the following equation

5= -9*(-1)+b, we have b=-4

The line has the following equation

y=-9x-4

Slope intercept form

4 0
3 years ago
Read 2 more answers
OPTIONS:
kondor19780726 [428]

You have to combine like terms (terms that have the same variable(x,y....) and power/exponent)²³

(4x³ - 4 + 7x) - (2x³ - x - 8)        Distribute -1 into (2x³ - x - 8)

(4x³ - 4 + 7x) + (-)2x³ - (-)x - (-)8   (two negative signs cancel each other out and become positive)

(4x³ - 4 + 7x) - 2x³ + x + 8    Now combine like terms

4x³ - 2x³ + 7x + x - 4 + 8     (I rearranged for the like terms to be next to each other)

2x³ + 8x + 4       It is equivalent to B

(-3x^2+x^4+x)+(2x^4-7+4x)       Combine like terms

-3x^2+x^4+2x^4+x+4x-7    (I rearranged for the like terms to be next to each other)

-3x^2+3x^4+5x-7    It is equivalent to D

(x² - 2x)(2x + 3)      Distribute x² into (2x + 3) and distribute -2x into (2x + 3)

(x²)2x + (x²)3 + (-2x)2x + (-2x)3

When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together

2x³ + 3x² - 4x² - 6x      Combine like terms

2x³ - x² - 6x         It is equivalent to A

[Info]

When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together. (You can combine the exponents only if they have the same variable)

For example:

x^{2} (x^3)=x^{(2+3)}=x^5

(y^3)x^2=y^3x^2         (You can't combine them because they have different exponents of y and x)

(5^2)(5^4)=5^{(2+4)}=5^6=15,625

7 0
3 years ago
What is the solution to the following equation?<br> 17 n -23n + 11.5n = 44
faltersainse [42]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

n  =  8

Step-by-step explanation:

Have a nice day! I hope this helps!

5 0
2 years ago
Read 2 more answers
Which equation can be used to calculate the surface area of the triangular prism net show below?
enyata [817]

Given:

Net of a triangular prism

To find:

Which equation can be used to calculate the surface area of the triangular prism.

Solution:

Using formulas:

Area of rectangle = length × width

Area of triangle = \frac{1}{2}\times b\times h

Area of left triangle = \frac{1}{2}\times 5\times 12

Area of right triangle = \frac{1}{2}\times 5\times 12

Area of bottom = 5 × 10

Area of Middle = 12 × 10

Area of top = 13 × 10

Surface area of triangular prism:

Surface area = Area of left triangle + Area of right triangle + Area of bottom + Area of middle + Area of top

                     $=\frac{1}{2}\times 5\times 10+\frac{1}{2}\times 5\times 10+5\times 10+12\times 10+13\times 10

Replace multiplication by brackets.

                     $=\frac{1}{2}(5)(10)+\frac{1}{2}(5)(10)+5( 10)+12( 10)+13( 10)

The equation can be used to calculate surface area of triangular prism is

$\frac{1}{2}(5)(10)+\frac{1}{2}(5)(10)+5( 10)+12( 10)+13( 10).

5 0
3 years ago
Read 2 more answers
A= 63°
leonid [27]

Answer:

Option D is correct.

Angle C = 70°

Step-by-step explanation:

The sum of angles in a triangle = 180°

So,

(Angle A) + (Angle B) + (Angle C) = 180°

(Angle A) = 67°

(Angle B) = 43°

(Angle C) = ?

67° + 43° + (Angle C) = 180°

Angle C = 180 - 67 - 43 = 70°

Angle C = 70°

Hope this Helps!!!

4 0
3 years ago
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