Determine the factors of 5x2 + 6x − 8. (5x − 1)(x + 8) (5x − 8)(x + 1) (5x − 4)(x + 2) (5x − 2)(x + 4)

Mathematics

2 answers:

katrin2010 [14]3 years ago

8 0

Answer:

(5x − 4)(x + 2)

Step-by-step explanation:

For the purpose, it is sufficient to make sure the middle terms match.

The middle term in the product of each of the answer choices is ...

-1+40 ≠ 6

-8+5 ≠ 6

-4+10 = 6 . . . . . the third selection is the one you want

-2+20 ≠ 6

Karo-lina-s [1.5K]3 years ago

5 0

Answer: The correct option is (C) (5x − 4)(x + 2).

Step-by-step explanation: We are given to determine the factors of the following quadratic expression :

$E=5x^2+6x-8.$

To factorize the given expression, we need to find two integers whose sum is 6 and whose product is -40.

The factorization is as follows :

$E\\\\=5x^2+6x-8\\\\=5x^2+10x-4x-8\\\\=5x(x+2)-4(x+2)\\\\=(5x-4)(x+2).$

Thus, the factors of the given expression are (5x - 4) and (x + 2). That is,

$5x^2+6x-8=(5x-4)(x+2).$

Option (C) is CORRECT.

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I need help bc I keep getting confused

umka2103 [35]

Answer:

6 3/4 (six and three fourths)

Step-by-step explanation:

First, we must turn 4 6/7 into an improper fraction, AKA 28/7. Now, you can't subtract 1/4 from 28/7, can you? So what you need to do is find the greatest common factor of 4 and 7. The GCF would be 28 (7 x 4 = 28, 4 x 7 = 28).

Now we know that the GCF is 28, we can turn the numbers into 28/28 and 1/28. But wait! We aren't done yet. Now we have to change the numerators. Since you multiplied the denominator (7) by 4 to get 28, you must now multiply 28 by 4 as well. (If you do something to the bottom, you have to do it to the top!) Because of this, we are now at 196/28.

Next, we must do the numerator of 1/28. Since we multiplied the denominator (4) by 7 to get 28, we must now multiply 1 by 7. This gets you to 7/28.

It's finally time to subtract. 196 - 7 is 184, so we are at 184/28. But hey, that's an improper fraction! You have to simplify. 184 divided by 28 is 6.75. 0.75 is 3/4 when turned into a fraction.

Mash 6 and 3/4 together, and you've got your answer! 6 3/4.

7 0

3 years ago

jamie wants to run a total of 9 miles thid week. so far, she has run 4 5/8 miles. use the equation 4 5/8 + r = 9. please help m

____ [38]

Answer:

$r=4\frac{3}{8}$

Step-by-step explanation:

Given the following question:

$4\frac{5}{8} +r=9$

Rewrite the expression to find the value of r:

$9-4\frac{5}{8}$

Subtract by finding the common denominator:
$9-4\frac{5}{8}$
$9=\frac{9}{1}$
$4\frac{5}{8} =8\times4=32+5=37=\frac{37}{8}$
$\frac{9}{1} -\frac{37}{8}$
$\frac{9}{1} \times8=\frac{72}{8}$
$\frac{37}{8} \times1=\frac{37}{8}$
$\frac{72}{8} -\frac{37}{8}$
$72-37=35$
$=\frac{35}{8}$
$\frac{35}{8} =35\div8=4\frac{3}{8}$
$r=4\frac{3}{8}$
$4\frac{5}{8} +4\frac{3}{8} =9$

Hope this helps.