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3 years ago

Solving linear inequalities

Mathematics

1 answer:

kolezko [41]3 years ago

8 0

What exactly do you need help with with this topic<span />

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You are paid 1.5 times your normal hourly rate for each hour you work over 30 hours in a week. You work 34 hours this week and e

natulia [17]

Answer: $15.94

Step-by-step explanation:

Let r be your rate you get paid per hour normally. Let's set up this equation.

(30 * r) + 4(1.5 * r) = 573.83

30r + 6r = 573.83

36r = 573.83

r = 15.94 (rounded)

You get paid $15.94 hourly.

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1 year ago

John is having a barbeque and purchased 12.25 pounds of hamburger for $3.12 per pound. How much did John spend on

Wewaii [24]

Answer: 38.22, i hope this helps!!

3 0

3 years ago

What is the value of x makes this equation true? -6x+3=45

Oduvanchick [21]

Answer:

$x=-7$

Step-by-step explanation:

subtract 3 from both sides

$-6x=45-3$

$-6x=42$

divide each term by 6

$\frac{-6x}{-6} =\frac{42}{-6}$

$x=\frac{42}{-6}$

simplify

$x=-7$

3 0

3 years ago

Read 2 more answers

Write the cubic polynomial function f(x)in expanded form with zeros −6,−5,and −1, given that f(0)=60

RSB [31]

Answer:

$f(x)=2x^{3}+24x^{2}+82x+60$

Step-by-step explanation:

we know that

The roots of the polynomial are the values of x when the value of the polynomial f(x) is equal to zero

The roots of the polynomial function are

x=-6 -----> (x+6)=0

x=-5 -----> (x+5)=0

x=-1 -----> (x+1)=0

The equation of the cubic polynomial is

$f(x)=a(x+6)(x+5)(x+1)$

where

a is the leading coefficient

Remember that

f(0)=60

That means ------> For x=0 the value of f(x) is equal to 60

substitute the value of x and the value of y in the function and solve for a

$60=a(0+6)(0+5)(0+1)$

$60=a(6)(5)(1)$

$60=30a$

$a=2$

$f(x)=2(x+6)(x+5)(x+1)$

Applying the distributive property

Convert to expanded form

$f(x)=2(x+6)(x+5)(x+1)\\\\f(x)=2(x+6)(x^{2}+x+5x+5)\\\\f(x)=2(x+6)(x^{2}+6x+5)\\\\f(x)=2(x^{3}+6x^{2}+5x+6x^{2}+36x+30)\\\\f(x)=2x^{3}+24x^{2}+82x+60$

3 0

4 years ago

What is the following product?<br> PLEASE HELP,I'M STRUGGLING SO MUCH!

Licemer1 [7]

(x√7 - 3√8 ) (x√7 - 3√8 )

To solve this question you must FOIL (First, Outside, Inside, Last) like so

First:

(x√7 - 3√8 ) (x√7 - 3√8 )

x√7 * x√7

For this you will multiply the numbers/variables on the out side together and separately multiply the values inside the square root together

(x*x)(√7*7)

x²√49

7x²

Outside:

(x√7 - 3√8 ) (x√7 - 3√8 )

x√7 * -3√8

(-3*x)(√7*8)

-3x√56

√56 can be further simplified to: 2√14

Now we have: -3x2√14 ---> -6x√14

Inside:

(x√7 - 3√8 ) (x√7 - 3√8 )

The process is the exact same as in the "outside"

x√7 * -3√8

(-3*x)(√7*8)

-3x√56

√56 can be further simplified to: 2√14

Now we have: -3x2√14 ---> -6x√14

Last:

(x√7 - 3√8 ) (x√7 - 3√8 )

-3√8 * -3√8

(-3*-3)(√8*√8)

9√64

9*8

Now combine all the products of the FOIL together like so...

7x² - 6x√14 - 6x√14 + 72

Combine like terms:

7x² - 6x√14 - 6x√14 + 72

^^^When you add together square roots the number inside the radical stays the same, and you combine the numbers/variables attached to the radical on the outside

You selected the correct answer:

7x² -12x√14 + 72

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0

3 years ago