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viva [34]
3 years ago
8

5) Ray has $25 to spend and used

Mathematics
1 answer:
victus00 [196]3 years ago
5 0
-18 is the best integer
You might be interested in
A line joins the point
Harrizon [31]

Intersection of the first two lines:

\begin{cases}5x - 2y + 3 = 0\\4x - 3y + 1 = 0\end{cases}

Multiply the first equation by 4 and the second by 5:

\begin{cases}20x - 8y + 12 = 0\\20x - 15y + 5 = 0\end{cases}

Subtract the two equations:

(20x - 8y + 12)-(20x - 15y + 5)=0 \iff 7y+7=0 \iff y=-1

Plug this value for y in one of the equation, for example the first:

5x - 2\cdot (-1) + 3 = 0\iff 5x+5=0 \iff x=-1

So, the first point of intersection is (-1,-1)

We can find the intersection of the other two lines in the same way: we start with

\begin{cases}x=y\\x=3y+4\end{cases}

Use the fact that x and y are the same to rewrite the second equation as

x=3x+4 \iff 2x=-4 \iff x=-2

And since x and y are the same, the second point is (-2, -2)

So, we're looking for a line passing through (-1,-1) and (-2, -2). We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be y=x

In the attached figure, line 5x - 2y + 3 = 0 is light green, line 4x - 3y + 1 = 0 is dark green, and their intersection is point A.

Simiarly, line x=y is red, line x = 3y + 4 is orange, and their intersection is B.

As you can see, the line connecting A and B is the red line itself.

5 0
3 years ago
Can someone help me with this
Dennis_Churaev [7]

Answer:

The equation for your graph is Y=2x+1

4 0
3 years ago
1/4(x-2) = 10 NEED DONE ASAP
kari74 [83]

Answer:

x = 42

Step-by-step explanation:

Step  1  :

           1

Simplify   —

           4

Equation at the end of step  1  :

  1              

 (— • (x - 2)) -  10  = 0

  4              

Step  2  :

Equation at the end of step  2  :

 (x - 2)    

 ——————— -  10  = 0

    4      

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

         10     10 • 4

   10 =  ——  =  ——————

         1        4  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(x-2) - (10 • 4)     x - 42

————————————————  =  ——————

       4               4  

Equation at the end of step  3  :

 x - 42

 ——————  = 0

   4  

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator,  multiplys both sides of the equation by the denominator.

Here's how:

 x-42

 ———— • 4 = 0 • 4

  4  

Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  x-42  = 0

Solving a Single Variable Equation :

4.2      Solve  :    x-42 = 0

Add  42  to both sides of the equation :

                     x = 42

One solution was found :

                  x = 42

Processing ends successfully

plz mark me as brainliest :)

3 0
3 years ago
The point (12,5) is on the graph, what do the coordinates tell you about the water in the bucket?
denpristay [2]
I think it’s A but I’m not to sure
4 0
3 years ago
Find the least number which must be added to 6203 to obtain a perfect square.
andrey2020 [161]

Answer:

79

Step-by-step explanation:

       78

         ---------

7 |       62 03 

          49

         ----------

148 |   13 03

          11 84

         -----------

            19

         -----------

78^2 = 6084.

We observe that 78^2 < 6203.

79^2 = 6241.

We observe that 79^2 > 6203.

Hence the number to be added to 6203 is 6241 - 6203 = 38.

6203 + 38 = 3241

                  = 79 * 79

                  = 79.

Therefore 38 should be added to 6203 to obtain a perfect square.

5 0
3 years ago
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