It says write an equation of the line shown and the line goes through points 4,3 and 1,-3

Answers

Answer 1

Answer: Slope of the line;
slope= $(change in y)/(change in x)$
Slope= $(3--3)/(4-1)$
Slope,m = $(6)/(3) =2$
y=mx+c
y=2x+c
Replacing for x and y using point (4,3)
3=2(4)+c
3=8+c
c=3-8
c=-5
y=2x-5

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Dylan started with 10,000 baseball cards to sell. In each subsequent week, Dylan started with approximately 85% of the previous week's starting number of cards. What is the explicit rule for the number of cards Dylan starts with in week n and approximately how many cards will he start with in the 6th week? Round to the nearest card. Drag and drop the answers into the boxes to match the situation. Explicit rule Amount of cards after the 6th week.

Answers

Answer:

Number of cards at week n = 10,000(0.85)^(n-1).

At week 6 Dylan has 4437 cards.

Step-by-step explanation:

At the start of week 1 he had 10,000 = 10,000(0.85)^0 cards.

So at the start of week 2 he had 10,000(0.85)^(2-1) cards.

Number of cards for week n = 10,000(0.85)^(n-1).

Number of he will have at the start of the 6th week

= 10,000(0.85)^(6-1)

= 4437 cards (answer).

Help!! is it $486?Jose's only debt obligations are a car loan payment of $436 and a credit card payment of $50 every month. What is the minimum amount of money he must take home every month in order to avoid being in danger of credit overload?

Answers

Answer:

The correct answer is $2430.

Step-by-step explanation:

According to the question, Jose's expenses are at least $486 ($436 for the car loan payment and $50 for the credit card monthly payment.) It is necessary to add some other expenses related to the house, such as groceries, which in addition result in $2430, so it is the correct answer.

The answer on APEX would be $2430

Solve 3x2 + 12x = 3.

Answers

Answer:

The solutions to the quadratic equation are: $x=-2+√(5),\:x=-2-√(5)$

Step-by-step explanation:

To solve the quadratic equation $3x^2+12x=3$ you must:

Subtract 3 from both sides and simplify

$3x^2+12x-3=3-3\n\n3x^2+12x-3=0$

For a quadratic equation of the form $ax^2+bx+c=0$ the solutions are

$x_(1,\:2)=(-b\pm √(b^2-4ac))/(2a)$

$\mathrm{For\:}\quad a=3,\:b=12,\:c=-3$

$x=(-12+√(12^2-4\cdot \:3\left(-3\right)))/(2\cdot \:3)=(-12+√(180))/(2\cdot \:3)=(-12+6√(5))/(6)=(6\left(-2+√(5)\right))/(6)=-2+√(5)$

$x=(-12-√(12^2-4\cdot \:3\left(-3\right)))/(2\cdot \:3)=(-12-√(180))/(2\cdot \:3)=(-12-6√(5))/(6)=-(6\left(2+√(5)\right))/(6)=-2-√(5)$

The solutions to the quadratic equation are:

$x=-2+√(5),\:x=-2-√(5)$

$3 x^(2) + 12x = 3$
$3 x^(2) + 12x - 3 = 0$
Using the quadratic formula
$x = \frac{-b (+ or -) \sqrt{b^(2 - 4ac) } }{2a}$
$x = \frac{-12 + \sqrt{12^(2 - 4(3)(-3)) } }{2(3)}$ OR $x = \frac{-12 - \sqrt{12^(2 - 4(3)(-3)) } }{2(3)}$
$x = (-12 + √(180) )/(6)$ OR $x = (-12 - √(180) )/(6)$
∴ x = 0.236 and x = -4.236

Translate the phrase into a math expression.15 divided by a number, then decreased by 2

A.
(15 ÷ n) + 2

B.
(15 ÷ n) – 2

C.
15 ÷ (n – 2)

D.
15 ÷ (n + 2)

Answers

B. (15/n) – 2

Because you have to divide the 15 and the number first then "decrease" it by 2

Write the number in two other form 0.326

I

Answers

You can turn it into a fraction 326/1000 and simplified is 163/500
also in scientific notation which is 3.26 x 10^-1

What is the discriminant of the given equation ?X^2-2x+2+0
a)-12
b)8
c)-4
d)-8

Answers

∆= b^2 - 4ac

where b= -2
a=1
c=2

therefore: 2^2 - 4 x 1 x 2
= 4 - 4 x 2
= 4 - 8
= -4

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