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3 years ago

What is the next two answers in the sequence ? 1.5 3.9 6.3 8.7.. ?

1 answer:

6 0

The rate of change is 2.4, so the next two answers could be found by adding 2.4 to each.

8.7+2.4=11.1
11.1+2.4=13.5

Therefore, the next two numbers would be 11.1 and 13.5.

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How many pizzas does a restaurant make each night if 25% of the total is equal to 90 pizzas?

TEA [102]

20% of 90 pizzas is 22.5 pizzas
And since you can’t just buy half a pizza it would have to be 23 pizzas :)

5 0

3 years ago

Read 2 more answers

What are the next geometric sequences? The calculator won’t seem to give right answers

dalvyx [7]

5. the numbers are being multiplied by 4 each time, so the geometric sequence would be

an= 1/2(4) ^(n-1)

6. the numbers are being multiplied by 1/4 each time, so the geometric sequence would be

an= 32(1/4)^(n-1)

an in the formula is what ever term in the sequence.
32 or 1/2 is the a which is the first term in the sequence.
4 or 1/4 is the r in the sequence because it is the common ratio so what the equation was multiplied by to get the next term.
(n-1) is because when you are using this equation to solve for whatever term (an) you must subtract the first number in the sequence to get an accurate number

an you can input whatever number when trying to solve.

6 0

3 years ago

Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots StartRoo

anastassius [24]

Answer:

$a) f(x)=3x^{3}-6x^{2}-15x+30$

Step-by-step explanation:

1) In this question we've been given "a", the leading coefficient. and two roots:

$x_{1}=\sqrt{5}\:x_{2}=2$

2) There's a theorem, called the Irrational Theorem Root that states:

If one root is in this form $x'=\sqrt{a}+b$ then its conjugate $x''=\sqrt{a}-b$ . is also a root of this polynomial.

Therefore

$x_3=-\sqrt{5}$

3) So, applying this Theorem we can rewrite the equation, by factoring. Remembering that x is the root. Since the question wants it in this expanded form then:

$f(x)=3(x-\sqrt{5})(x+\sqrt{5})(x-2)\Rightarrow 3x^{3}-6x^{2}-15x+30$

4 0

3 years ago

Read 2 more answers

If f(x)=3^x+10x and g(x)=4x-2, find (f+g)(x)

Vikentia [17]

Hi there!

First we need to remember the following.
$(f + g)(x) = f(x) + g(x)$

Now substitute both of the formulas.
$(f + g)(x) = ({3}^{x} + 10x)+ (4x - 2)$

Work out the parenthesis.
$(f + g)(x) = {3}^{x} + 10x + 4x - 2$

And finally collect terms.
$(f + g)(x) = {3}^{x} + 14x - 2$

~ Hope this helps you!

3 0

4 years ago

Read 2 more answers

Find the geometric mean of the pair of numbers

Svetach [21]

Answer: a. 55

Step-by-step explanation:

The formula to find the geometeric mean between two numbers a and b is given by :-

$G.M. =\sqrt{ab}$

The given numbers are : 275 and 11

The geometric mean of 275 and 11 is given by :-

$G.M.=\sqrt{275\times11}\\\\\Rightarrow\ G.M. =\sqrt{3025}\\\\\Rightarrow\ G.M.=\sqrt{55\times55}\\\\\Rightarrow\ G.M.=\sqrt{55^2}\\\\\Rightarrow\ G.M.=55$

Hence, the geometric mean of 275 and 11 is 55.

So , the correct option is a. 55 .

4 0

3 years ago