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3 years ago

5

PLEASE HELP What is the slope of the line in the graph?

1 answer:

goldenfox [79]3 years ago

5 0

Answer:

-3/4

Step-by-step explanation:

rise is three run is four

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Suppose you borrow $500 and you plan to pay it back all at once in 5 years. You are charged 2% interest compounded monthly.

Mashutka [201]

Answer: $553

Step-by-step explanation: 500(1.0016666)^60

500(1.10507451358)

552.537256789

$553

6 0

3 years ago

Which graph represents the function of f(x) = the quantity of 9 x squared plus 9 x minus 18, all over 3 x plus 6

lora16 [44]

Answer:

The answer is the option C

graph of $3x$ minus $3$ , with discontinuity at negative $2$ , negative $9$

Step-by-step explanation:

we have

$f(x)=\frac{9x^{2}+9x-18}{3x+6}$

Simplify

$f(x)=9\frac{(x^{2}+x-2)}{3(x+2)}$

$f(x)=3\frac{(x^{2}+x-2)}{(x+2)}$

Step 1

Convert to a factored form the numerator

$x^{2}+x-2=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2}+x=2$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$x^{2}+x+0.25=2+0.25$

$x^{2}+x+0.25=2.25$

Rewrite as perfect squares

$(x+0.5)^{2}=2.25$

Square root both sides

$x+0.5=(+/-)1.5$

$x=-0.5(+/-)1.5$

$x=-0.5+1.5=1$

$x=-0.5-1.5=-2$

so

$x^{2}+x-2=(x-1)(x+2)$

Step 2

Simplify the function f(x)

$f(x)=3\frac{(x^{2}+x-2)}{(x+2)}=3\frac{(x-1)(x+2)}{(x+2)}$

The domain of the function f(x) is all real numbers except the number $x=-2$

Because the denominator can not be zero

$f(x)=3\frac{(x-1)(x+2)}{(x+2)}=3(x-1)=3x-3$

$f(x)=3x-3$ ------> with a discontinuity at $x=-2$

$f(-2)=3(-2)-3=-9$

The discontinuity is at point $(-2,-9)$

the answer in the attached figure

8 0

4 years ago

Read 2 more answers

2. Ryan has nine 14-ounce bags of popcorn

Serjik [45]

Answer:

42

Step-by-step explanation:

9 times 14 equals 126

126 divided by 3 equals 42

3 0

4 years ago

Which of the following statements is true?<br><br>i need help look at image most appreciated.

spin [16.1K]

I think it’s number A

6 0

3 years ago

Read 2 more answers

What is the equation for a circle with a center at (5,-2) and passes through (4,0)?

Kisachek [45]

Step-by-step explanation:

since you said equation I'm assuming it's in terms of x and y Just as a general equation

since the centre of the circle isn't at 0, you have to take that into account using the formula above. solve for the radius of the circle by substituting (4,0) into the formula and get your r value to replace in the original formula

8 0

3 years ago