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2 years ago

Solve the following system of equations for x and y.

Mathematics

1 answer:

Mademuasel [1]2 years ago

4 0

<h2>Answer:</h2>

We can solve this system by elimination to solve for y by multiplying the top equation by 4 and the bottom one by -5.

$4(5x + y = 2)\\-5(4x - 2y = 10)\\\\20x + 4y = 8\\-20x + 10y = -50\\\\14y = -42\\\\y = -3$

Now, with what we got for y, we plug it back into one of the original equations. I chose the top one.

$5x + 7 = 2\\\\5x = -5\\\\x = -1$

Now we have the solution of this system

The solution is <em>A. (-1, -3)</em>.

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K & Christian each have a garden of the same size and shape cake grows flowers one and six her of her garden Christian grows

m_a_m_a [10]

Answer:

Christian will grow more flower as she utilizes all her garden area for the flower growth.

Step-by-step explanation:

Flower growth is difficult process as it involves great care by a gardener. Christian also grows flowers in her three garden which are available to her. She has same size flower which she grows in her garden.

5 0

2 years ago

You roll a 6-sided die.

Lerok [7]

Answer:

$\huge\boxed{\text{P(not factor of 35) = } \frac{2}{3}}$

Step-by-step explanation:

We can use basic probability to find the probability that this roll is not a factor of 35.

First off, we know that with a six sided die there are 6 possible things we can roll.

1, 2, 3, 4, 5, or 6

Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.

We know $1 \cdot 35 = 35$ , so two factors are 1 and 35.
We know $5 \cdot 7 = 35$ , so two factors are 5 and 7.

Therefore, the factors of 35 are 1, 5, 7, 35.

Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be $\frac{2}{6} = \frac{1}{3}$ since there are two factors and 6 possible options.

This means, logically, there is a $\frac{4}{6} = \frac{2}{3}$ chance of not rolling a factor of 35.

Hope this helped!

5 0

2 years ago

Which equation is true when the value of x is -12

Sophie [7]

Answer:

Which equation is true when the value of x is -12 HERE YOU GO!!

Step-by-step explanation:

tricky ... let's see ...

I notice that if we subtract xy from both sides we get

7x + xy - xy = xy - xy + 21

then

7x = 21

and

x = 21/7 = 3

so there is only one value of x that satisfies the equation

x = 3

Going back to the original equation we see that any value of y will satisfy the original equation

we can see this by rearranging things:

7x + xy - xy = 21

here, I have performed the subtraction of xy on the right side as above, but have left the left side undone

(so we don't lose the presence of y)

Note that the above can also be written as

7x + (x - x)y = 21

7x + 0y =21

now, since anything times zero equals zero,

y may be any number.

Let's summarize:

1) x = 3

2) y = anything

looking back at the original question;

1) the equation is true for all ordered pairs

FALSE (only one x works, not all x)

2) there are no x and y pairs for which the equation is true.

FALSE (x=3, y=anything) makes it true, i.e. (3,1)

3) For each value of x, there is one and only one value of y that makes the equation true,

FALSE for each value of x, for the one value of x, x=3, y can be any number, which is an infinite number, not one

4) for each value of y, there is one and only on value of x that makes the equation true.

TRUE!! for all the infinite values of y you may pick, there is one and only one x you may pick, x = 3

ANSWER: STATEMENT 4 is CORRECT (TRUE)

3 0

2 years ago

What is the geometric mean of 2 and 8?

asambeis [7]

Answer:

The geometric mean of 2 and 8 comes out to equal 4.

Step-by-step explanation:

4 0

2 years ago

Nola purchased 2.5 pounds of cheese for $10.50. Her mother purchased 3 pounds of the same cheese for $12.60. The cost of cheese

spayn [35]

12.6-10.5=2.1(1.5 pounds) 2.1 divided by 3 = 0.7x2= 1.4 Therefore one pound of cheese is £1.40

8 0

3 years ago

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