Which graph best represents the equation -5x+2y=2

(HELP FAST PLEASE) g^2-9 Factor each expression. Show your work

vovangra [49]

Answer:

(g+3)(g-3)

Step-by-step explanation:

square root of g squared is g

square root of 9 is 3

5 0

3 years ago

Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated

Illusion [34]

Answer:

$x=-2,0,3$

Step-by-step explanation:

We have been given a function $f(x)=15x^3-15x^2-90x$ . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

$15x^3-15x^2-90x=0$

Now, we will factor our equation. We can see that all terms of our equation a common factor that is $15x$ .

Upon factoring out $15x$ , we will get:

$15x(x^2-x-6)=0$

Now, we will split the middle term of our equation into parts, whose sum is $-1$ and whose product is $-6$ . We know such two numbers are $-3\text{ and }2$ .

$15x(x^2-3x+2x-6)=0$

$15x((x^2-3x)+(2x-6))=0$

$15x(x(x-3)+2(x-3))=0$

$15x(x-3)(x+2)=0$

Now, we will use zero product property to find the zeros of our given function.

$15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0$

$15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0$

$\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0$

$x=0\text{ (or) }x=3\text{ (or) }x=-2$

Therefore, the zeros of our given function are $x=-2,0,3$ .

7 0

3 years ago

Need help with these 2 problems will give brainliest answer and worth 30 points!!

Elena L [17]

Question 1.
Step 1. Add the total cost of purchasing the luxury items:
$TotalCost=35.95+34.65+15.30+6.99+42.96=135.85$
You will spend $135.85 purchasing the luxury items.

Step 2. Add the total cost of purchasing the name brand items:
$TotalCost=19.95+15.98+9.40+4.99+29.75=80.07$
You will spend $80.07 purchasing the name brand items.

Step 3. Subtract the total cost of purchasing the name brand items from the total cost of purchasing the luxury items:
$135.85-80.07=55.78$

Answer to the original question:
We can conclude that you will spend $55.78 more by purchasing the luxury items.

Question 2:

Part 1. To find the how many months will take to pay the card debt, we are going to use the credit card equation: $N=- \frac{1}{30}* \frac{ln(1+ \frac{b}{p}*(1+ \frac{r}{365})^{30})) }{ln(1+ \frac{r}{365}) }$
where
$N$ is the months to pay the card
$b$ is the balance
$p$ is the monthly payment
$r$ is the interest rate in decimal form

We know from our problem that the balance of the credit card is $1,367.90 and the monthly payment is $400.00, so $b=1367.90$ and $p=400$ . To find convert the interest rate to decimal form, we are going to divide the rate by 100%
$r= \frac{9.5}{100}=0.095$ .
Now that we have all we need, lets replace the values in our credit card equation:
$N=- \frac{1}{30}* \frac{ln(1+ \frac{b}{p}*(1+ \frac{r}{365})^{30})) }{ln(1+ \frac{r}{365}) }$
$N=- \frac{1}{30}* \frac{ln(1+ \frac{1367.90}{400}*(1+ \frac{0.095}{365})^{30})) }{ln(1+ \frac{0.095}{365}) }$
$N=3.4799$

It will take you 3.5 months according to our calculation, but since you pay $400 each month on the due date, we can conclude that it will take you 4 months to pay off the card.

Part 2. To calculate the total amount paid including the interest, we just need to multiply the monthly payment by the number of payments.
We know from our problem that the monthly payment is $400. We also know from our previous calculations that the number of payments is 4, so lets multiply both quantities:
$400*4=1600$

We can conclude that the total amount paid including interest is $1,600

5 0

3 years ago

Which triangle is possible?

guajiro [1.7K]

Answer:

(a) 3 ft, 4 ft, 5 ft

Step-by-step explanation:

The triangle inequality requires the sum of the two short sides exceed the long side.

__

a) 3 ft + 4 ft = 7 ft > 5 ft . . . . . triangle is possible

b) 4 yd + 1 2/3 yd = 5 2/3 yd < 10 yd . . . . not a possible triangle

c) 3 ft + 3 ft = 6 ft < 7 ft . . . . not a possible triangle

d) 4 in + 4 in = 8 in . . . . not a possible triangle (not greater than 8 in)

__

The first set of side lengths can form a triangle: 3 ft, 4 ft, 5 ft.

7 0

2 years ago

You want to give your friend a soccer ball for a gift. The soccer ball has a

Ede4ka [16]

Answer:

volume of cube share box = 67.92 inch²

Step-by-step explanation:

given data

soccer ball volume = 85.3π cubic inches

solution

we know that ball will fit inside the box when box length will be equal to diameter of ball

and here soccer ball volume will be express as

soccer ball volume = $\frac{4}{3}\times \pi \times r^3$ .................1

85.3π = $\frac{4}{3}\times \pi \times r^3$

solve it we get

r³ = 69.9765

r = 4.12 inch

so diameter = 2 × 4.12 = 8.24 inch

diameter = length of box side

volume of cube share box = a²

volume of cube share box = 8.24²

volume of cube share box = 67.92 inch²

6 0

3 years ago