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3 years ago

What’s the answer to this

Mathematics

1 answer:

grigory [225]3 years ago

3 0

Answer:

A. x = -5/6 and x = 1/2.

Step-by-step explanation:

12x^2 + 4x - 5 = 0

Use the 'ac' method to try to factor this:

Consider the above highlighted numbers:

12 * -5 = -60.

Now we need 2 numbers whose product is -60 and whose sum is +4.

They are -6 and +10, so we replace the + 4x by -6x + 10x:

12x^2 - 6x + 10x - 5 = 0 Now factor by grouping:

6x(2x - 2) + 5(2x - 1) = 0 The 2x -1 is common, so:

(6x + 5)(2x - 1) = 0

So x = -5/6 and x = 1/2.

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Bryan and his son, and Elton and his son all went fishing. Bryan caught as many fish as his son and Elton caught three times as

Annette [7]

Answer:

The answer is explained below

Step-by-step explanation:

This is a word problem, therefore to solve it the statement have to be writing in form of an equation and then solved.

Let the number of fishes caught by Bryan's son be x fishes. Since Bryan caught as many fish as his son, Bryan caught x fishes

Let the number of fishes caught by Elton's son be y fishes. Since Elton caught three times as many fish as his son, Bryan caught 3y fishes

All together, they caught 25 fish

Therefore it can be represented by the equation:

x + x + y + 3y = 25

2x + 4y = 25

2x = 25 - 4y

x = (25 - 4y)/2

The number of fish caught by Bryan is half of the difference between the total fish caught and four times the number of fish caught by Elton son

6 0

3 years ago

In a game of football outdoors on a cold day, a player will begin to feel exhausted after using approximately 8.0 × 105 J of int

Julli [10]

Answer:

a) How much work has he done = dW = 1.3 × 105 J

b) What is the magnitude of the heat that he has lost = dQ = -5.4 × 105 J

Step-by-step explanation:

From the first law of thermodynamics; dQ = dU + dW

dU = -8.0 × 105 J

dQ = -6.7 × 105 J

Hence, work done dW = dQ - dU

dW = -6.7 × 105 J - ( -8.0 × 105 J)

dW = 1.3 × 105 J is the work done by the player

for heat lost; from dQ = dW + dU

dU = -8.0 × 105 J and dW = 2.6 × 105 J

heat lost dQ = 2.6 × 105 J + ( -8.0 × 105 J)

dQ = -5.4 × 105 J

The negative is as a result of heat lost by the player

6 0

3 years ago

Mr. Soto plans to open a savings account. Four banks offer the annual interest rates shown. Which list shows these interest rate

Natalka [10]

Ok, so IDK if I'm about to do this problem right, but here we go;

so first, lets change these all to decimals (I more of a decimal gal)

3 1/2 = 3.5
3 2/3 = 3.6666 (repeating)
3 3/5 = 3.6
3 3/8 = 3.375

So now, just order them from greatest to least.

3.66666, 3.6, 3.5, 3.375.

Now, change them back to fractions.
3 2/3, 3 3/5, 3 1/2, 3 3/8

So, if I'm correct, the answer is 3 2/3%, 3 3/5%, 3 1/2%, 3 3/8%
Hopefully I solved your problem!

5 0

4 years ago

Please help meeeee!!

RideAnS [48]

Step-by-step explanation:

$\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}$