All categories

2 years ago

Factor the equation 5x^2+60x+160

Mathematics

1 answer:

timurjin [86]2 years ago

7 0

Answer:

5(x+4)(x+8)

Step-by-step explanation:

5x^2+60x+160

factor out the 5 first,

5(x^2+12x+32),

then factor out the trinomial,

find 2 numbers that when they multiply,

you get the third term, which is 32 in this case,

and when they add up,

you get the second term, which is 12 in this case.

5(x+4)(x+8)

You might be interested in

Find the third side in simplest radical form:

ryzh [129]

Answer:

I'm pretty sure that this is the answer 41 square root

7 0

2 years ago

4 people stacked 40 pizzas . Ronnie stacked 0.25 of the pizzas and Mack stacked 9 outa the 40 and Kim stacked 35% so how many di

saw5 [17]

Answer:

Step-by-step explanation:

No. of pizza Ronnie stacked = 0.25 × 40

= 10

No. of pizza Mack stacked = 9

No. of pizza Kim stacked = $\frac{35}{100}$ × 40

= 14

No. of pizza Ada stacked = 40 - 10 - 9 - 14

= 7

3 0

2 years ago

Read 2 more answers

If f(x) = 2x squared - 5x + 7 what is the value of f(-3)

ch4aika [34]

Answer:

f(-3)=40

Step-by-step explanation:

4 0

2 years ago

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed

zhuklara [117]

Answer:

For the cost from the two methods to be equal, 3,200 books have to be produced

Step-by-step explanation:

In this question, we are asked to calculate the number of books that will be produced for two methods of production having different fixed and variable costs to have the same production cost.

Since the number of books is something we do not know, let’s represent it with a variable called c.

For the first production method, the cost of production will be ; 58,881 + 8.50c

For the second production method, the cost of production will be; 18,081 + 21.25c

Now since they are said to be equal, we proceed to equate both;

58,881 + 8.5c = 18,081 + 21.25c

58,881-18,081 = 21.25c - 8.5c

40,800 = 12.75c

c = 40,800/12.75

c = 3,200 books

4 0

2 years ago

The table shows how many books the students in Bergdalsskolan list during the summer. There were 48 students who list 4 books. a

Juliette [100K]

Step 1:

First, find the total number of students.

Let the total number of students = m

Step 2:

Find the total number of students using the percentage of 4 books.

48 students listed 4 books with a percentage of 16%

$\begin{gathered} 48\text{ = 16\% of m} \\ 48\text{ = }\frac{16}{100}\text{ }\times\text{ m} \\ 48\text{ = }\frac{16m}{100} \\ \text{Cross multiply} \\ 16m\text{ = 48 }\times\text{ 100} \\ 16m\text{ = 4800} \\ \text{m = }\frac{4800}{16} \\ \text{m = 300} \end{gathered}$

Hence, there are 300 students.

$\begin{gathered} \text{Number of students that had 1 book = 24\% of 300} \\ =\text{ }\frac{24}{100}\text{ }\times\text{ 300} \\ =\text{ }\frac{7200}{100} \\ =\text{ 72 students} \end{gathered}$

72 students had 1 book.

b) What percentage more read 2 books than 4 books?

percentage that read 2 books = 36%

percentage that read 4 books = 16%

36 - 16 = 20%

There are 20% students that read 2 books than 4 books.

8 0

10 months ago