So I don't really understand how to solve this.. Here's the question.

Mathematics

2 answers:

Aleks [24]3 years ago

6 0

The answer is 9 gallons.

? - 8 + 10 -5 = 6
Then fill in the choices.

3-8+10-5=0
7-8+10-5=4
9-8+10-5=6
11-8+10-5=8

tensa zangetsu [6.8K]3 years ago

4 0

First lets see what information they give us.
We know that they arrived with 6 gallons of gas and along the way they pumped 18 gallons and used 5.
(i got 18 by adding 8 and 10 just to make it simpler)

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5. Find the discriminant of 15x2 = 4x – 1 and describe

diamong [38]

Answer:

a) The discriminant of the equation = - 44

b)The nature of the roots will be imaginary.

c) $x = \frac{2 +\sqrt{11} i}{15} or, x = \frac{2 - \sqrt{11} i}{15}$

Step-by-step explanation:

Here, the given expression is $15x^{2} = 4x -1$

or, $15x^{2} - 4x + 1 = 0$

Now the discriminant (D) of a quadratic equation $ax^{2} +b x + c = 0$

D = $b^{2} - 4ac = (-4)^{2} - 4(15) (1) = 16 - (60) = -44$

Hence, the discriminant of the equation = - 44

As D< 0, so the roots will be imaginary.

Now,by quadratic formula : $x = \frac{-b \pm \sqrt{b^{2} - 4ac} }{2a}$

So, here $x = \frac{-(-4) \pm \sqrt{D} }{2a} = \frac{4 \pm \sqrt{(-44 )} }{30}$

So, either $x = \frac{4 + \sqrt{(-44 )} }{30} or, x = \frac{4 - \sqrt{(-44 )} }{30}$

or, $x = \frac{2 +\sqrt{11} i}{15} or, x = \frac{2 - \sqrt{11} i}{15}$

8 0

3 years ago

Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the t

harina [27]

Answer:

Proportion states that the two fractions or ratios are equal

As per the statement: Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the tank. Once the new tank is in, it will cost her $72.96

Let the tank size now be x

Since, the gas tank expanded by 10 gallons = x + 10

by definition of proportion ;

$\frac{x}{42.56}=\frac{x+10}{72.96}$