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3 years ago

Given the function below, what value will result in f(x)=10? f(x)=1/2x+8

Mathematics

2 answers:

andriy [413]3 years ago

7 0

10=1/(2x)+8
1/(2x)=2
1=4x
X=1/4

nignag [31]3 years ago

5 0

10 = 1/2x + 8
2 = 1/2x
X = 4

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Olga simplifies the expression x + 7x to 7x2. Use the drop-down menus to complete the statements below to explain why Olga's sol

Tcecarenko [31]

Answer: Olga's solution is incorrect

x + 7x is the same as 1x + 7x

7x2 is the same as 7x. x

x + 7 x simplifies to 8x

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The sum of three numbers is 7,243,735. Two of them are 837,451 and 879,837. what is the third number?

romanna [79]

Answer:

5,526,447

Step-by-step explanation:

Create an equation where x is the third number.

837,451 + 879,837 + x = 7,243,735

1,717,288 + x = 7,243,735

x = 5,526,447

So, the third number is 5,526,447

8 0

3 years ago

Find the zeros of y = x2 – 6x – 4 by completing the square.

katrin [286]

Answer:

The solutions to the quadratic equations are:

$x=\sqrt{13}+3,\:x=-\sqrt{13}+3$

Step-by-step explanation:

Given the function

$y\:=\:x^2\:-\:6x\:-\:4$

substitute y = 0 in the equation to determine the zeros

$0\:=\:x^2\:-\:6x\:-\:4$

Switch sides

$x^2-6x-4=0$

Add 4 to both sides

$x^2-6x-4+4=0+4$

Simplify

$x^2-6x=4$

Rewrite in the form (x+a)² = b

But, in order to rewrite in the form x²+2ax+a²

Solve for 'a'

2ax = -6x

a = -3

so add a² = (-3)² to both sides

$x^2-6x+\left(-3\right)^2=4+\left(-3\right)^2$

$x^2-6x+\left(-3\right)^2=13$

Apply perfect square formula: (a-b)² = a²-2ab+b²

$\left(x-3\right)^2=13$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solve

$x-3=\sqrt{13}$

Add 3 to both sides

$x-3+3=\sqrt{13}+3$

Simplify

$x=\sqrt{13}+3$

now solving

$x-3=-\sqrt{13}$

Add 3 to both sides

$x-3+3=-\sqrt{13}+3$

Simplify

$x=-\sqrt{13}+3$

Thus, the solutions to the quadratic equations are:

$x=\sqrt{13}+3,\:x=-\sqrt{13}+3$

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harina [27]

3 18 shows the relationship between x and y

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4 years ago

A regular hexagon is enlarged by a scale factor of 5.2. The original hexagon has a side length of 6 cm. What is the side length

NISA [10]

Just multiply 5.2 by 6.

5.2 * 6 = 31.2

Therefore the side length of the enlarged hexagon will be 31.2

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4 years ago