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2 years ago

How many solutions does this system of equations have?

Mathematics

1 answer:

Alja [10]2 years ago

5 0

Answer:

Infinitely many

Step-by-step explanation:

The second equation is basically multiplying the first equation by 2, so this means that they will have the same rate of change and initial value. Therefore, there are infinitely many solutions.

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The United States is about the only country that still uses the units feet, miles, and gallons. However, you might see some car

Black_prince [1.1K]

Answer: $4.5 \text{ miles per gallon}$

Step-by-step explanation:

Given : The fuel efficiency of car = 7.6 km per kilogram

We also given that

1 mile = 1.609 km

Then, $\text{1 km}=\dfrac{1}{0.609}\text{ mile}$

1 gallon = 3.785 liters

$\text{1 liter}=\dfrac{1}{3.785}\text{ gallon}$

1 liter of gasoline = 0.729 kg

Then, $\text{1 kg}=\dfrac{1}{0.729}\text{ liter}$

$\Rightarrow\ \text{1 kg}=\dfrac{1}{0.729}\times\dfrac{1}{3.785}\text{gallon}$

Now, the fuel efficiency of car will be :

$7.6\times\dfrac{1}{0.729}\times\dfrac{1}{3.785}\times\dfrac{1}{0.609}\\\\=4.52275317827\approx4.5 \text{ miles per gallon}$

Hence, the car’s fuel efficiency in miles per gallon= 4.5

3 0

2 years ago

Find the percentage of decrease from 95 to 60

balu736 [363]

The answer is about 36.9%
I just guessed and checked. 95-60= 35
So .3685×95 is the closest to equaling 35

6 0

3 years ago

If f(x) = 2x-1 and g(x) = x^2-3x-2, find (f+g)(x)

alina1380 [7]

All this means is (f(x)) + (g(x))

2x-1+ x^2-3x-2=

=== x^2 - x -3

4 0

2 years ago

Read 2 more answers

Determine the value of y, if x is -2.<br> y = x² +8

KiRa [710]

Answer:

y=x²+8

=(-2)²+8

=4+8

=12

6 0

2 years ago

Mary has a pink dress, a blue dress, and a yellow dress. She has a black pair of shoes and a white pair. How many dress and shoe

Yanka [14]

There are two ways to solve this.
The first way is logically.
Mary can
-wear a pink dress with black shoes -wear a pink dress with white shoes
-wear a blue dress with black shoes -wear a blue dress with white shoes
-wear a yellow dress with black shoes - wear a yellow dress with white shoes

Count them up, and you'll get six combinations!

Another way is simply mathematically, which is easier in my opinion.

3 (different colored dresses) × 2 (different colored shoes) = 6 (combos)

8 0

2 years ago