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3 years ago

FACTOR COMPLETELY f(x) = 4x^2 + 8x − 5

Mathematics

1 answer:

never [62]3 years ago

4 0

Answer:

(2x - 1)(2x + 5)

Step-by-step explanation:

Start by finding factors of 4 and factors of 5, then find out which ones will add or subtract to the middle term, 8. You get (2x -1)(2x+5).

Hopefully this helps - let me know if you have any questions!

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I need help to the attachment down below, first answer gets 5 stars and a thanks!

Gekata [30.6K]

Answer:

base = 15 units

Step-by-step explanation:

We are given area of a triangle = 52.5 sq. units

Height is given as 7 and we have to find the base.

Using formula for area of triangle:

Area of triangle = $\frac{base*height}{2}$

$52.5 = \frac{base*height}{2}$

$52.5 = \frac{base*7}{2}$

52.5 * 2 = base × 7

105 = base × 7

base = 15

3 0

3 years ago

Read 2 more answers

If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

6 0

3 years ago

What’s the answer too this problem I can’t solve?

emmasim [6.3K]

I'm using PEDMAS.

Multiplication first.

2 • 4 = 8

Subtraction.

20 - 4 = 16

16 + 8 = 24

Please let me know if you spot any errors (especially the fraction operation)

4 0

3 years ago

I need help me with number 7

Lina20 [59]

-7=-9+n/8
Add 9 to both sides
2=n/8
Multiply 8 on both sides
Final Answer: 16=n

4 0

3 years ago

William has 24 24 cans of fruit and 60 60 cans of vegetables that he will be putting into bags for a food drive. He wants each b

Snezhnost [94]

Answer:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

Step-by-step explanation:

Given:

Number of fruits cans = 24

Number of veggies cans = 60

William will have to distribute them in equal bags with equal cans of fruits and vegetables respectively.

For this:

We have to find the GCF (greatest common factor) of 24 and 60.

GCF by listing out the factors method.

Factors of 24 : $1,2,3,4,6,8,12,24$

Factors of 60 : $1,2,3,4,5,6,10,12,15,20,30,60$

So,

The greatest common factor of $24$ and $60$ is $12$ .

The number of bags William will used for equal distribution = $12$

Now,

We have to distribute the veggies and fruits in equal number of cans to these $12$ bags.

Number of fruits cans used in each bag = $\frac{24}{12} = 2$

Number of vegetables can used in each bag = $\frac{60}{12} =5$

We can say that:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

4 0

3 years ago

FACTOR COMPLETELY f(x) = 4x^2 + 8x − 5 ​​​​​​​

FACTOR COMPLETELY f(x) = 4x^2 + 8x − 5