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3 years ago

3x^2-5x-7 find the sum and product

Mathematics

1 answer:

Bad White [126]3 years ago

3 0

Answer:

$s = \frac{5}{3}$

$p = \frac{7}{3}$

Step-by-step explanation:

for this equation

a=3

b= -5

c = -7

The sum of equal to

$- \frac{b}{a}$

and the product is equal to

$\frac{c}{a}$

. All you do is replace the values. You can prove both of those using the quadratic formula.

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Write the pair of fractions as a pair of fractions with a common denominator |

trapecia [35]

Answer:

3/10 and 2/5 = 3/10 and 4/10

1/3 and 3/4 = 4/12 and 9/12

Step-by-step explanation:

For 3/10 and 2/5

* Find the lcm (least common multiple) of the denominators which are 10 and

5. The multiples of 10 are: 10, 20, 30 etc and the multiples of 5 are: 5, 10 15,

etc. So, the lcm is 10. It is the smallest multiple that the denomitaotrs share.

* Next multiply the numerators (3 and 2) by whatever number you use to

multiply the denominator by to get 10. For 3/10, the denominator stayed the

same, so to get 10, you need to multiply 10 by 1. Do the same for the

numerator. 3 x 1 = 3. So, the first factor pair is 3/10.

* The second factor pair is 2/5, so we are still using the lcm of 10. So, what

do you need to multiply 5 by to get 10? The answer is 2. Now just multiply

the numerator (2) by 2 and you get 4. The second factor pair is now 4/10.

5 0

3 years ago

1)4-2(x + 19) = 50<br> 2)7(x-3)-14=70

zalisa [80]

2x+38=50
2x+38-38=50 -38
2x =12
2x/2 =12/2
x=6

8 0

3 years ago

Read 2 more answers

Cole rode his bike twice as far as Anita did today. Is this situation modeled by an expression or equation? How do you know?

Over [174]

Answer:

equation

Step-by-step explanation:

Let X is the distance that Anita rode

Let Y is the distance that Cole rode

Cole rode his bike twice as far as Anita, which mean:

Y = 2X

So this situation modeled by an equation

8 0

3 years ago

Henri puts 24 candies in each gift bag. He uses 432 candies. How many gift bags did he fill?

makkiz [27]

Answer:

Henri filled 18 gift bags. Hope this helps!!

Step-by-step explanation:

You half to divide how many candies that you are putting in the bag by the amount you have. So if you have 432 candies and you are putting 24 in each bag you would have 18 bags.

4 0

3 years ago

Read 2 more answers

Which of the following could be the ratio of the length of the longer leg of a 30-60-90 to the length of its hypotenuse? CHECK A

8_murik_8 [283]

Answer:

A. √3 : 2

D. 3√3 : 6

Step-by-step explanation:

In a triangle described as 30°-60°-90° triangle, the base angles are 90° and 60°

The side with angles 90° and 60° is the shortest leg and can be represented by 1 unit

The hypotenuse side is assigned a value twice the shorter leg value, which is 2 units

From Pythagorean relationship; the square of the hypotenuse side subtract the square of the shorter leg gives the square of the longer side

This is to say if;

The given the shorter leg = 1 unit

The hypotenuse is twice the shorter leg= 2 units

The longer leg is square-root of the difference between the square of the hypotenuse and that of the shorter leg

$=2^2-1^2\\\\=4-1=3\\\\\\b^2=3\\\\\\b=\sqrt{3}$

where the longer leg is represented by side b in the Pythagorean theorem, the hypotenuse by c and the shorter leg by a to make;

$a^2+b^2=c^2$

<u>Hence the summary is</u>

a=shorter leg= 1 unit

b=longer leg = √3 units

c=hypotenuse=2 units

The ratio of longer leg to its hypotenuse is

=√3:2⇒ answer option A

This is the same as 3√3:6 ⇒answer option D because you can divide both sides of the ratio expression by 3 and get option A

$=3\sqrt{3} :6\\\\\\\frac{3\sqrt{3} }{3} :\frac{6}{3} \\\\\\=\sqrt{3} :2$

Answers are :option A and D

4 0

3 years ago

3x^2-5x-7 find the sum and product​

3x^2-5x-7 find the sum and product