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3 years ago

Please help me if you can thank you.

Mathematics

1 answer:

Natasha2012 [34]3 years ago

8 0

Answer:

-3 </= x < 2

negative 3 is less than or equal to x which is less than 2

Step-by-step explanation:

The top graph shows x is less than 2. The circle is open, so the solution excludes the number 2. (If it was solid, it would be less than or equal to 2)

The second graph shows x is greater than or equal to 3. (the circle is filled in)

So if x is greater than or equal to 3, then 3 is less than or equal to x

Please let me know if you have questions about this.

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Need help in this mathquestion. The function h(x)=(x+2)^2 can be expressed in the form f(g(x)) where f(x)=x^2 , and g(x) is defi

blsea [12.9K]

Answer:

In a nutshell, $g(x) = x+2$ .

Step-by-step explanation:

A composition is operation between function that consist in replacing the independent variable of the first function, $f(x)$ in this case, for $g(x)$ . Common notations for composition between functions are $f(g(x))$ and $f\circ g (x)$ . If we know that $h(x) = f\circ g (x) = (x+2)^{2}$ and $f(x) = x^{2}$ , then $g(x) = x+2$ .

In a nutshell, $g(x) = x+2$ .

4 0

3 years ago

Write a polynomial equation of least degree with roots 2, -1 and 4.

Rasek [7]

A polynomial with roots a and b is (x - a)(x - b).

(x - 2)(x - (-1))(x - 4) = 0

(x - 2)(x + 1)(x - 4) = 0

has roots 2, -1, and 4.

3 0

3 years ago

A group of 18 people ordered soup and sandwiches for lunch. Each person in the group either ordered one soup or one sandwich . T

kkurt [141]

Let's say a = number of ordered soups, b = number of ordered sandwiches.

Then 4.5a + 7.75b = 113.50, and a and b are integers between 0 and 18 inclusive.

How do we tackle this? If all ordered soup, the cost would be $81, so we'll have at least 4 sandwiches. If all ordered sandwich, the cost would be $139.5, so at most 15 sandwiches were ordered. You also know an even number of sandwiches was ordered, to let the price end at 50 cent.

If you brute-force from 4,6,8,10,12 to 14 sandwiches, you find the answer at 10 sandwiches and 8 soups.

10*7.75 + 8*4.50 = 113.50

8 0

4 years ago

Determine rather each equation is there not a equation. Write yes or no. if yes write equation in standard form. -2x-3=y

abruzzese [7]

I don't know about how to put that in standard form, but an equation has to have an equals sign... So, that would be an equation.

8 0

3 years ago

Dave also starts a new job, but his hourly pay starts at $7.25. Suppose that he gets a 40¢-per-hour raise each year.

pshichka [43]

Answer:

$8.5

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

<em>Dave also starts a new job, but his hourly pay starts at $7.25. Suppose that he gets a 40¢-per-hour raise each year. What will Vicky’s hourly pay be in 3 years</em>

My answer:

Given:

Rate per hour: $7.25.
Hour raise each year: 40¢-

=> the percentage of rate increasing:

(40¢ / $7.25)*100%

= (40¢ / 7.25*100¢)*100%

= 5.5%

What will Vicky’s hourly pay be in 3 years

This is a compound growth problem. The formula is:

$F=P(1+r)^t$

<=> F = $=7.25(1+0.055)^3$

<=> F = $8.5

So the rate after three years is $8.5

Hope it will find you well.

4 0

3 years ago