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3 years ago

Decimal equivalent to 7.7?

Mathematics

1 answer:

Nostrana [21]3 years ago

8 0

7.7 is a decimal. ;)

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The curve with equation y=ax^2+bx has a gradient of 3 at the point (2,-2). Find the values of a and b.

Airida [17]

Answer:

a = 2, b = - 5

Step-by-step explanation:

Given

y = ax² + bx

$\frac{dy}{dx}$ is the measure of the slope at x = a

Differentiate each term with respect to x using the power rule

$\frac{d}{dx}$ (a $x^{n}$ ) = na $x^{n-1}$

$\frac{dy}{dx}$ = 2ax + b, hence

2ax + b = 3 at (2, - 2)

Substitute x = 2 into $\frac{dy}{dx}$

4a + b = 3 → (1) and substitute x = 2 into y

4a + 2b = - 2 → (2)

Subtract ( 1) from (2)

b = - 2 - 3 = - 5

Substitute b = - 5 into (1)

4a - 5 = 3 ( add 5 to both sides )

4a = 8 ( divide both sides by 4 )

a = 2

7 0

3 years ago

How many ml of a 20% acid mixture and a 80% acid mixture should be mixed to get 120ml of a 35% acid mixture?

shutvik [7]

Answer:

Volume of Mixture A =90 ml

Volume of Mixture B =30 ml

Step-by-step explanation:

Let say, Mixture A + Mixture B = Mixture C

Volume of Mixture A is x

Volume of Mixture B is y

So, Volume of Mixture C is x+y = 120 ml

Now, Acid contain in Mixture A is 20% =0.2x

Acid contain in Mixture B is 80% =0.8y

Also, Acid contain in Mixture C is 35% =(0.35)(x+y) = 0.35×120=42

Now, we know that,

Acid contain of Mixture A + Acid contain of Mixture B=Acid contain of Mixture C

∴ 0.2x+0.8y=42

∴ 2x+8y=420

We get two linear equations

2x+8y=420 and x+y = 120

Solving above equation...

∴ x=120-y

Replacing x value in 2x+8y=420

∴ 2(120-y)+8y=420

∴ 240-2y+8y=420

∴ 6y=180

∴ y=30

Replacing y value in any equation

∴ x=120-y=120-30=90

∴ x=90

Thus,

Volume of Mixture A is x=90 ml

Volume of Mixture B is y=30 ml

3 0

4 years ago

You get dressed in the morning without looking at the colours of the clothes you choose. Your shirts are white or blue, your pan

kaheart [24]

Answer:

add up all the colors

Step-by-step explanation:

7 0

4 years ago

Desmond paid 8.5% sales tax when he bought a new phone. The sales tax was $12.75. What was the cost of the phone, without tax? *

Over [174]

Answer: 150$

Step-by-step explanation:

12.75 / 8.5%

6 0

3 years ago

How do you solve 8-(4x+7)=5x+30-2?

Cerrena [4.2K]

8-4x-7=5x+30-2
combine like terms
1-4x=5x+28
-27=9x
divide both sides by nine
-3=x

6 0

3 years ago