Please answer the question from the attachment.

Please help i don't understand!

vaieri [72.5K]

Answer: 9. x=-3/2 10. x=2

x= 5/2 x=5/3

Step-by-step explanation:

9. Factor the equation:

How: put 4x^2 in the bottom left box and -15 in the upper right box.

then multiply 4x^2 x -15 = -60x^2 and put your answer in the top center box of the diamond.

Put the -4x from the equation in the bottom box. Then list out factors that multiply to the top box (-60x^2) and add to the bottom box (-4x) The two factors are -10 and 6

-10 x 6 = -60

-10 + 6 = -4

Put -12x and -5x in the remaining white boxes and find what numbers multiply to each.

I attached a picture. The colored dots correspond with each other.

Eg: Orange dot x orange dot = number in white square

Now you get the two factors (2x+3)(2x-5)

Set both of these equal to 0 and solve

0=2x+3 0=2x-5

x= -3/2 x= 5/2

Do the same for the other problem

7 0

2 years ago

Brooklyn has a goal to save $8,000 to buy a new entertainment system. In order to meet that goal, she deposited $4,132.79 into a

densk [106]

To see how much interest she'll get after a quarter:

$4132.79 + ($4132.79 × 0.048) = $4331.16

After two quarters:
$4331.16 + ($4331.16 × 0.048) = $4359.06

You can keep going until eventually reaching $8000 then see how many quarters has passed. That's a lot of calculator work!

There's another way that uses less calculation, but more algebra. I call it the exponential formula method! There's this general formula for stuff that increases exponentially, like virus, population, and MONEY:

$m= d {e}^{tc}$

M is money, d is deposit, t is time taken, and c is just some unknown constant related to the interest rate. There's also the natural logarithm form of this equation, which will come in handy later:

$ln( \frac{m}{d} ) = tc$

Alright first we gotta find that constant c for this equation to be useful! Let's plug in stuff we know.

$ln( \frac{4331.16}{4132.79} ) = (0.25)c$

We know how much she'll have after one quarter (0.25 years), and we know how much she deposited initially.

After pressing some buttons on the calculator we'll find that c = 0.1875.

Great! Now we can use that formula to find how many years (t) it'll take to reach M=$8000. To save time I'm going to use the natural log form:

$ln( \frac{8000}{4132.79} ) = t(0.1875)$

That will give us t = 3.522 which means it'll take approximately 3.5 years for her deposit to reach $8000!

5 0

3 years ago

Read 2 more answers

How many pounds of cashews that cost $14 per pound must be mixed with 5 pounds of peanuts that cost $6.50 per pound to make mixe

Fantom [35]

The amount of cashew mixed is 5 pounds

<h3>Word problem on total cost</h3>

Cost of 1 pound of cashew = $14

Cost of 1 pound of peanut = $6.50

Total cost of 1 pound of the mixed nuts = $10.25

Cost of 5 pounds of peanuts = 5 x $6.50

Cost of 5 pounds of peanuts = $32.50

Let the amount of cashew be x

Total cost of x cashew = 14x

Total amount of the mixed nuts = x + 5

Total cost of the mixed nuts = 10.25(x+5)

Total cost of the mixed nuts = 10.25x + 51.25

14x + 32.50 = 10.25x + 51.25

14x - 10.25x = 51.25 - 32.50

3.75x = 18.75

x = 18.75/3.75

x = 5

Therefore, the amount of cashew mixed is 5 pounds

Learn more on word problem on cost here: brainly.com/question/21405634

#SPJ1

8 0

2 years ago

Read 2 more answers

Please answer correctly! I will mark Brainliest!

Pie

Answer:

its 60 all around

Step-by-step explanation:

5 0

3 years ago

The length of a rectangle is shown below: On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis, tw

sukhopar [10]

Answer:

<em>Would be the answer D(1, −4) </em>

Step-by-step explanation:

<em>Excuse me if i'm wrong, it seems like you have the same test or almost. And this was the answer on mine. I hope it works out for you!</em>

4 0

3 years ago