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2 years ago

8

5 more than x is equal to 32

1 answer:

Zarrin [17]2 years ago

3 0

Answer:

x=27

Step-by-step explanation

"5 more than x is equal to 32" basically means that you need to subtract 5 from 32, which gives you 27.

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Which graph represents the function of f(x) = the quantity of 9 x squared plus 9 x minus 18, all over 3 x plus 6

lora16 [44]

Answer:

The answer is the option C

graph of $3x$ minus $3$ , with discontinuity at negative $2$ , negative $9$

Step-by-step explanation:

we have

$f(x)=\frac{9x^{2}+9x-18}{3x+6}$

Simplify

$f(x)=9\frac{(x^{2}+x-2)}{3(x+2)}$

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

Step 1

Convert to a factored form the numerator

$x^{2}+x-2=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2}+x=2$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$x^{2}+x+0.25=2+0.25$

$x^{2}+x+0.25=2.25$

Rewrite as perfect squares

$(x+0.5)^{2}=2.25$

Square root both sides

$x+0.5=(+/-)1.5$

$x=-0.5(+/-)1.5$

$x=-0.5+1.5=1$

$x=-0.5-1.5=-2$

so

$x^{2}+x-2=(x-1)(x+2)$

Step 2

Simplify the function f(x)

$f(x)=3\frac{(x^{2}+x-2)}{(x+2)}=3\frac{(x-1)(x+2)}{(x+2)}$

The domain of the function f(x) is all real numbers except the number $x=-2$

Because the denominator can not be zero

$f(x)=3\frac{(x-1)(x+2)}{(x+2)}=3(x-1)=3x-3$

$f(x)=3x-3$ ------> with a discontinuity at $x=-2$

$f(-2)=3(-2)-3=-9$

The discontinuity is at point $(-2,-9)$

the answer in the attached figure

8 0

2 years ago

Read 2 more answers

An accident at an oil drilling platform is causing a circular-shaped oil slick to form. The volume of the oil slick is roughly g

Basile [38]

Answer:

$V(t)=0.0112\pi t^{2}$

Step-by-step explanation:

we have

$V(r)=0.07\pi r^{2}$ -----> equation A

$r(t)=0.4t$ -----> equation B

To find out (V of r)(t) substitute equation B in equation A

$V(r(t))=V(t)$

$V(t)=0.07\pi (0.4t)^{2}$

$V(t)=0.07\pi (0.16)t^{2}$

$V(t)=0.0112\pi t^{2}$

3 0

2 years ago

In a certain region, the number of highway accidents increased by 20% over the four years period. How many accidents were there

erma4kov [3.2K]

Equation:

a = 5120

r = 1 + .2 = 1 . 2

f (n ) = 5120 * 1 . 2^n - 1

N = 4 years

f ( 4 ) 5120 * 1 . 2^4 - 1

5120 * 1 . 2^3

We want to know, The number of Highway Accidents in Four Years.

Answer: 8,847 Highway Accidents total:

Hope that helps!!!!!!!!!!! : )

7 0

1 year ago

I subtract 14 from a certain number I multiply the result by 3 the final answer is 3 what was the number

12345 [234]

Answer:

15.

Step-by-step explanation:

3(x - 14) = 3

3x - 42 = 3

3x = 42 + 3 = 45

x = 15.

3 0

2 years ago

Read 2 more answers

A right cylinder has a radius of 2 units and height of 5 units.What is the volume of the cylinder? Round to the nearest tenth.

UkoKoshka [18]

V=hpir^2
r=2
h=5
pi≈3.141592

v=5*3.141592*2^2
v=5*3.141592*4
v=20*3.141592
v=62.83185307179586476925286766559
round to tenth
62.8 cubic units

8 0

1 year ago

Read 2 more answers