If F(x)=2x^2+3, then which of the following represent f(x+1). A.2x^2+2. B. X^2+3. C. 2x^2+4x+1. D. 2x^2+4x+5

Answers

Answer 1

Answer: Hi,
If it is f(x)=2x²+3 and not F(x)=2x²+3 then
Answer D.

$f(x)=2x^2+3\nf(x+1)=2(x+1)^2+3\n=2(x^2+2x+1)+3\n=2x^2+4x+5\n$

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Evaluate the expression for the given value of the variable(s). 5a+5b;a=-6b=-5

A. 19 B. 17 C. -11 D. 21

Answers

The given expression is 5a+5b The given values of a and b are a=-6 ,b=-5

Substituting the values of a and b in the expression we have :

5a+5b= 5(-6)+5(-5)

= -30 -25 ( when a positive and a negative number is multiplied the result is a negative number)

-30-25=-55 (same signs are added)

The answer to the expression 5a+5b when a=-6 anf b=5 is -55.

[The given options are not correct.]

The answer to what you have there is -55 using order of operations. 5 times -6 is -30. 5 times -5 is -25. add. You get -55.

Which pair of numbers is 6 a common factor of?12 and 20

16 and 24

24 and 54

30 and 64

Answers

6 is a common factor of 24 and 54. 6 x 9= 54 and 6 x 4= 24

Joshua uses a rule to write the following sequence of numbers 1/6,1/2,5/6,----------,11/2 What rule did Joshua use? What is the missing number in the sequence?

Answers

Answer: The missing number in the sequence is $(7)/(6)$

Step-by-step explanation:

Since we have given that

$(1)/(6),(1)/(2),(5)/(6),----------,(11)/(2)$

First term = a= $(1)/(6)$

Common difference = d is given by

$d=a_2-a_1\n\n(1)/(2)-(1)/(6)\n\n=(6-2)/(12)\n\n=(4)/(12)=(1)/(3)\n\nSimilarly,\nd=a_3-a_2\n\n=(5)/(6)-(1)/(2)\n\n=(10-6)/(12)\n\n=(4)/(12)\n\n=(1)/(3)$

Therefore, it forms an arithmetic sequence.

Since, $a_4$ is missing,

So,

$a_4=a+3d\n\na_4=(1)/(6)+3* (1)/(3)\n\na_4=(1)/(6)+1\n\na_4=(1+6)/(6)\n\na_4=(7)/(6)$

Hence, the missing number in the sequence is $(7)/(6)$

This is an arithmetic progression at a rate of 2/6.

So 1/6 + 2/6 = 3/6 (1/2)
3/6 + 2/6 = 5/6
5/6 + 2/6 = 7/6
....
29/6 + 2/6 = 31/6
31/6 +2/6 = 33/6 (11/2)

4 brothers share 3 pizzas equally.
How much of a pizza does each brother get ?

Answers

4 brothers /3 pizzas = 3/4 each

4 x 3/4 = 12/4
12/4 = 3 pizzas

3/4. No matter how many pizzas there are, if we divided each pizza to 4 slices, each one gets one slice from each pizza, that is 1/4 of a pizza for each brother. Since there are 3 slices of pizza, simply multiply 3*1/4=3/4.
Hope this helped and if you need more help then just message me instead ok :)

Two dice are rolled one after another. Construct a sample space and determine the probability that the sum of the dots on the dice total a number greater than 9 if the second die is a 5. The probability that the sum of the dots on the dice is a number greater than 9 if the second die is a 5 is nothing.(Type an integer or a simplified fraction.)

Answers

this answer will be 55% ok

Evaluate b^2 c ^-1 for b = 8 and c = -4.

-16
1/16
16
256

Answers

Just plug in values:

(8)²·(-4)⁻¹ = 64 · 1/-4 = -16

So answer is -16.

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The product of 6 and a number is 24 What is the number

Write an algebraic expression that is equivalent to the expression.cos⁡(arcsin⁡ (x-h)/r )

A point is represented by a: line dot square none of the above