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3 years ago

What is the solution to the system of linear equations?

Mathematics

1 answer:

AlexFokin [52]3 years ago

8 0

X=8-y

2(8-y)=10
16-2y=10
-2y=10-16
-2y=-6
y=3

x+3=8
x=8-3
x=5

(5,3) is the answer :)

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You deposit $5000 in an account earning 7.5% simple interest . How long will it take for the balance of the account to be $6500

GREYUIT [131]

Since this is a problem of simple interest, then the interest earned will be based always on the principal amount which is 5000. So assuming that, lets also assume that the duration to get interest will be in years since that is the most commonly used duration anyway. So first, let's multiply 5000 with 0.075 to get the interest for the first year. So we will have 375. This means that we will be getting 375 interest every year. We can do trial an error method to get the number of years that will yield us to 6500. Through that, I was able to get 4 years. So 4 times 375 equals 1500 plus the original balance of 5000. It will take 4 years before your balance reaches 6500

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3 years ago

I cannot find the answer to my question

slamgirl [31]

Answer:

14M

Step-by-step explanation:

7*2*M

14*M

14M

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3 years ago

10x+9=4x -9 solve <br><br> please help

Neporo4naja [7]

Answer:

x = -3

Step-by-step explanation:

To solve this, you need to isolate the variable x, this means only one side of the equation should have the variable x. To do this, you need to do the opposite operation from what's given (if it's addition, use subraction; if it's multiplication, use division; these work vise versa)

Subtract 9 from both sides of the equation. This gives you 10x = 4x - 18.
Subtract 4x from both sides of the equation. This gives you 6x = -18.
Divide both sides by 6. This gives you x = -3

The final answer is x = -3

7 0

3 years ago

Samuel can type nearly 40 words per minute. Use this information to find the number of hours it would take him to type 2.2 × 105

Dafna1 [17]

I believe the answer is .09625 hours

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3 0

3 years ago

-/2 points

Rom4ik [11]

Answer:

Part 1) The domain of the quadratic function is the interval (-∞,∞)

Part 2) The range is the interval (-∞,1]

Step-by-step explanation:

we have

$f(x)=-x^2+14x-48$

This is a quadratic equation (vertical parabola) open downward (the leading coefficient is negative)

step 1

Find the domain

The domain of a function is the set of all possible values of x

The domain of the quadratic function is the interval

(-∞,∞)

All real numbers

step 2

Find the range

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

we have a vertical parabola open downward

The vertex is a maximum

Let

(h,k) the vertex of the parabola

The range is the interval

(-∞,k]

Find the vertex

$f(x)=-x^2+14x-48$

Factor -1 the leading coefficient

$f(x)=-(x^2-14x)-48$

Complete the square

$f(x)=-(x^2-14x+49)-48+49$

$f(x)=-(x^2-14x+49)+1$

Rewrite as perfect squares

$f(x)=-(x-7)^2+1$

The vertex is the point (7,1)

therefore

The range is the interval

(-∞,1]

6 0

3 years ago