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3 years ago

On a piece of paper graph this system of equations y=x-8 y=x^2-2x-3

Mathematics

1 answer:

iragen [17]3 years ago

4 0

Answer:

The system of equations has no solution

The graph in the attached figure

Step-by-step explanation:

we have

$y=x-8$ -----> equation A

$y=x^{2}-2x-3$ ----> equation B

using a graphing tool

we know that

The solution of the system of equations is the intersection point both graphs

In this problem the graphics do not intersect

see the attached figure

therefore

The system of equations has no solution

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Solving Rational equations. LCD method. Show work. Image attached.

Ugo [173]

Answer:

$k=\frac{1}{2}$

Step-by-step explanation:

The given rational equation is

$\frac{5k}{k+2}+\frac{2}{k}=5$

The Least Common Denominator is

$k(k+2)$

Multiply each term by the LCD.

$k(k+2)\times \frac{5k}{k+2}+k(k+2)\times \frac{2}{k}=5k(k+2)$

Simplify;

$k\times \frac{5k}{1}+(k+2)\times \frac{2}{1}=5k(k+2)$

$\Rightarrow k(5k)+2(k+2)=5k(k+2)$

Expand;

$\Rightarrow 5k^2+2k+4=5k^2+10k$

Group similar terms;

$\Rightarrow 5k^2-5k^2+2k-10k=-4$

$\Rightarrow -8k=-4$

Divide by -8.

$k=\frac{1}{2}$

5 0

3 years ago

- To make homemade window cleaner, Shivani combines vinegar and water in the ratio of 1:7 by volume. How

rewona [7]

V:W
1:7
1+7=8
1/8*45=5.625 ml of vinegar

8 0

3 years ago

HELPPP!!!!!!!! What is the value of f(6)

castortr0y [4]

Answer:

f(6) = 35 × 6 - 175 = 35

6 0

2 years ago

What is the value of x?<br><br><br><br> Enter your answer in the box.

pshichka [43]

Hello!

The sum of all angle measures in a heptagon in 900°. We will subtract all of these angles from 900 to find our answer.

900-146-122-142-140-110-142=98

x=98°

I hope this helps!

4 0

3 years ago

Read 2 more answers

The sum of two numbers is 43 . The smaller number is 19 less than the larger number. What are the numbers?

Setler [38]

Let the smaller number be x and the larger number be y.
We can calculate this by using simultaneous equation, aka listing 2 equations out.
From given,
X + y = 43
Let this be equation no. 1
X + 19 = y
Let this number be equation 2.
We can do simultaneous equations either by substitute method or elimination. In this case I'm using substitute.
We can already obtain the value of y (in terms of x) in euqation no. 2, so all we gonna do is to put y into equation 1.
X + x + 19 = 43
Solve this by algebra.
2x = 43 - 19
X = 12
Now we know the exact value of x
Now substitute x = 12 into equation no. 2
12 + 19 = y
Y = 31
So the answer is 12 and 31

7 0

3 years ago