All categories

3 years ago

Question 3:

Mathematics

1 answer:

goldenfox [79]3 years ago

5 0

Answer:

Step-by-step explanation:

x^2 + 7x+ 10. factors out to (x - 2)(x + 5)

You might be interested in

Draw a rectangular fraction model to explain your thinking. Then, write a multiplication sentence. A. 2 3 of = 3 5

myrzilka [38]

Answer:

$\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}$

Step-by-step explanation:

Given

$\frac{2}{3}\ of\ \frac{3}{5}$

Solving (a): Multiplication sentence

$\frac{2}{3}\ of\ \frac{3}{5}$

Rewrite of as *

$\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{3}\ *\ \frac{3}{5}$

Solve

$\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}$

Hence, the multiplication sentence is:

$\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}$

Solving (b): Rectangular fraction model

In (a) above, the result is 2/5

The fraction model will be represented as thus:

Draw a rectangle
Partition in to 5 equal parts (5 represents the denominator)
Shade 2 of the 5 partitions (2 represents the numerator)

See attachment for model

5 0

3 years ago

1. What is the area of the triangle below? 10 in. 7 in.

Alex787 [66]

The area of a triangle is

$\cfrac{base*height}{2}$

If we plug in the given values, we get:

$\frac{10*7}{2}$

Multiply in the numerator:

$\frac{70}{2}$

Divide:

$35$

Therefore, the area of the triangle is 35 inches squared.

6 0

2 years ago

Read 2 more answers

What is the final elevation of:

Lilit [14]

Answer:

the fish has a final elevation of negative 2

Step-by-step explanation:

4 0

3 years ago

The elevator at the local mall has a weight limit of 1,800 pounds and requires that the maximum person allowance be no more than

blagie [28]

Answer: 9? I’m not sure but it seems like it’s 9 as it mentions it in the problem

4 0

2 years ago

2. Find the common difference and the recursive formula. a. 22, 19, 16, 13, …

Musya8 [376]

Answer:

The common difference d is d = -3

The recursive formula is: $\mathbf{a_n=a_{n-1}-3}$

Step-by-step explanation:

We need to find the common difference and the recursive formula.

a. 22, 19, 16, 13, …

First we will find common difference

The formula of arithmetic sequence is: $a_n=a_1+(n-1)d$

where a_n is nth term, a_1 is 1st term and d is the difference

Looking at the sequence we get: a_1=22, a_2=19

Using these values we can find d, the common difference

$a_n=a_1+(n-1)d\\put\:n=2, a_2=19, a_1=22\\19=22+(2-1)d\\19=22+d\\d=19-22\\d=-3$

So, the common difference d is d = -3

Now, we will find the recursive formula:

The recursive formula is of type: $a_n=a_{n-1}+d$

We have found common difference d = -3

So, the recursive formula will be:

$a_n=a_{n-1}+d\\a_n=a_{n-1}+(-3)\\a_n=a_{n-1}-3$

The recursive formula is: $\mathbf{a_n=a_{n-1}-3}$

6 0

3 years ago