Hey i need help wit ths=is Let f(x)=3x2+5.

What is the distance between (−5,−4) and (-6,4)?

Helga [31]

The distance formula is: d = sqrt( (x2 - x1)2 + (y2 - y1)2 )

For this problem, let (-5, -4) be the "first" point, so x1 = -5 and y2 = -4

and let (-6, 4) be the "second" point, so x2 = -6 and y2 = 4.

Then: d = sqrt( (-6 - -5)2 + (4 - -4)2 ) = sqrt( (-1)2 + (8)2 ) = sqrt( 1 + 64 ) = sqrt( 65)

The distance formula is just the Pythagorean Theorem applied to an x-y graph.

You would get the same final answer if you let (-5, -4) be the second point and (-6, 4) be the first point.

6 0

3 years ago

Find the savings plan balance after 2 years with an APR of 4% and monthly payments of $250. The balance is $ (Do not round until

alexdok [17]

Answer:

$6,506.51

Step-by-step explanation:

Recall that increasing an amount C in x% is equivalent to multiply it by (1+x/100)

As we have 4% APR, the monthly interest would be (4/12)% = 0.04/12

Month 0 (first payment)

$250

Month 1

$250 + 250 \frac{0.04}{12}= 250(\frac{12.04}{12})$

Month 2

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2)$

Month 3

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3)$

Month 24 (2 years)

$250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24})$

The sum

$1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24}$

is the sum of the first 24 terms of a geometric sequence with common ratio $\frac{12.04}{12}$ which is

$\frac{1-(12.04/12)^{25}}{1-(12.04/12)}=26.02603071$

so, after 2 years the saving balance is

250*26.02603071 = 6,506.50767= $6,506.51 rounded to the nearest cent.

6 0

3 years ago

HELPPP DUE IN A COUPLE MIN MARKING BRAINLIEST ANSWER ASAP

ankoles [38]

Answer: See explanation

Step-by-step explanation:

15.) -7x + 6 (x - 8/2) - 2(x + 3) + 10

-7x + 6 (x - 4) - 2(x + 3) + 10

-7x + 6x - 24 - 2x - 6 + 10

Bring like terms together

-7x + 6x - 2x - 24 - 6 + 10

-3x - 20

16.) B, C, D

B. 3 (x + 2) + 4x

3x + 6 + 4x = 7x + 6

C. -2 + 4(x + 3)

-2 + 4x + 12 = 4x + 10

D. 3x + 5(x - 1)

3x + 5x - 5

8x - 5

17.) A, B, D

A. 1/5(x - 50)

1/5x - 10

B. 1/6(-x + 12)

-1/6x + 2

D. 1/2(x + 16)

1/2x + 8

4 0

3 years ago

Can someone help me please?

jeka57 [31]

Answer:

This is the graph of the question

Step-by-step explanation:

8 0

3 years ago

Please help quick thank you

Luda [366]

Each square in the diagram is equal to the value of 1 while c isn't equal to the squares. Simply $1\neq c$ . Since there are 6 squares that means 1*6 = 6. The whole value of the squares is 6. While the rectangle value isn't known or defined as "c" and you have 3 rectangles the value of it would be 3*c which is 3c.

So the answer is C. 6+3c

7 0

3 years ago