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3 years ago

Use the quadratic formula to determine the exact solutions to the equation.

Mathematics

1 answer:

lawyer [7]3 years ago

8 0

Answer:

x= 2.28

or, x= 0.219

Step-by-step explanation:

2x²-5x+1 =0

a= 2, b= -5 and c= 1

x= (-b + √(b²-4ac))/2a

= (5 + √(25-8))/4

= (5 + √17)/4

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The sum of the heights of two brothers is 10 feet, 4 inches. The difference between their heights is 10 inches. How tall is the

Leona [35]

Answer:

4.5 ft

Step-by-step explanation:

Let us assume the height of the taller brother be x

And, the height of the shorter brother be y

Now according to the question

x + y = 10.33

x - y = 0.833

Now solve these two equations

2x = 11.666

x = 5.833

y = 10.33 - 5.83

= 4.5 ft

7 0

3 years ago

Aunty Joan packs a packet of sweets to Alice and Olivia. Alice and Olivia share sweets in the ratio 7:3. Alice gives 3 sweets to

aivan3 [116]

Initially, Alice had 28 sweets and Olivia 12 sweets.

Step-by-step explanation:

First assume that Aunty Joan has x number sweets.

Alice and Olivia shared the x sweets in a ration of 7:3, this means

Alice had 7/10 x sweets and Olivia had 3/10 sweets.

Alice gives 3 sweets to Olivia, Alice will remain with ;

$\frac{7}{10} x-3$

Then the new ratio changes to 5:3 which means Alice will have 5/8 x number of sweets.

Equate the number of sweets for Alice in the two cases, which is

$\frac{5}{8}x=\frac{7}{10} x-3\\ \\\frac{7}{10} x-\frac{5}{8} x=3\\$

$\frac{56x-50x}{80} =3\\\\\\\frac{6}{80} x=3\\\\\\6x=80*3\\\\\\x=240/6\\\\x=40$

So there were 40 sweets at first

Using the ratio of 7:3 then

Alice had 7/10 *40 = 28 sweets

Olivia had 3/10*40= 12 sweets

Alice gave Olivia 3 sweets, so she will remain with 28-3 =25 sweets. Olivia will now have 15 sweets.The new ratio will be 25:15 simplified as 5:3.

Learn More

Ratio : brainly.com/question/11095585

Keywords : Ratio

#LearnwithBrainly

5 0

3 years ago

Please solve this problem. I can't solve it! And can someone explain how to do it please??

s2008m [1.1K]

Answer:

1.23

Step-by-step explanation:

They already give u the amount of oz in a gram, so you would want to multiply 0.035 by 37.

6 0

3 years ago

How do u combine like terms

velikii [3]

If the equation is let's say 3x+ 7 +4x to combine like terms, you would take 3x and 4x since they both have x. You wouldn't take the 7 since it doesn't have and x like the other numbers. 3x +4x = 7x so your new equation would be 7x + 7.

6 0

3 years ago

Read 2 more answers

What does the following define?

Vlad [161]

Answer A is correct because the straight line is called a parallel line

6 0

3 years ago