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cupoosta [38]
2 years ago
10

Help quick

Mathematics
2 answers:
Naya [18.7K]2 years ago
6 0
1.You have two ways for solving this.
First, you could use a graphing utility or calculator to graph both functions on the same plane, and given that the functions do not have a y coordinate, the solution of f(x)=g(x) will be the x coordinate in which the tow graphs intercept (cross each other) as you can see in the picture (1).
The other way is equating the two equations and solve for x:
We know that f(x)=2x+1 and g(x)=-x+7, so f(x)=g(x) is equivalent to 2x+1=-x+7. The only thing left is solving the equation for x:
2x+1=-x+7
3x=6
x=2
As you can see, both ways gives us the same answer: the solution to the equation f(x)=g(x) is x=2.

2. For this one we can repeat the exact same procedures as before: 
Graph the functions on the same plane using a graph calculator or graphing utility, and identify the x coordinate in which the two graphs intercept as you can see in the picture (2), or you we can also equate both equations, and solve for x:
x+2=2x+1
x=1
And just like before, both ways gives us the same answer: the solution to the equation f(x)=g(x) is x=1

So, the answer that you should enter in your boxes are: 2 in the first, and 1 in the second one.

DedPeter [7]2 years ago
6 0

Answer:

1 & 0

Step-by-step explanation:

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Given that (ax^2 + bx + 3) (x + d) = x^3 + 6x^2 + 11x + 12<br> a + 2b - d = ?
Mariulka [41]

Answer:

Let's solve for a.

(ax2+bx+3)(x+d)=x3+6x2+11x+12a+2b−d

Step 1: Add -12a to both sides.

adx2+ax3+bdx+bx2+3d+3x+−12a=x3+6x2+12a+2b−d+11x+−12a

adx2+ax3+bdx+bx2−12a+3d+3x=x3+6x2+2b−d+11x

Step 2: Add -bdx to both sides.

adx2+ax3+bdx+bx2−12a+3d+3x+−bdx=x3+6x2+2b−d+11x+−bdx

adx2+ax3+bx2−12a+3d+3x=−bdx+x3+6x2+2b−d+11x

Step 3: Add -bx^2 to both sides.

adx2+ax3+bx2−12a+3d+3x+−bx2=−bdx+x3+6x2+2b−d+11x+−bx2

adx2+ax3−12a+3d+3x=−bdx−bx2+x3+6x2+2b−d+11x

Step 4: Add -3d to both sides.

adx2+ax3−12a+3d+3x+−3d=−bdx−bx2+x3+6x2+2b−d+11x+−3d

adx2+ax3−12a+3x=−bdx−bx2+x3+6x2+2b−4d+11x

Step 5: Add -3x to both sides.

adx2+ax3−12a+3x+−3x=−bdx−bx2+x3+6x2+2b−4d+11x+−3x

adx2+ax3−12a=−bdx−bx2+x3+6x2+2b−4d+8x

Step 6: Factor out variable a.

a(dx2+x3−12)=−bdx−bx2+x3+6x2+2b−4d+8x

Step 7: Divide both sides by dx^2+x^3-12.

a(dx2+x3−12)

dx2+x3−12

=

−bdx−bx2+x3+6x2+2b−4d+8x

dx2+x3−12

a=

−bdx−bx2+x3+6x2+2b−4d+8x

dx2+x3−12

Answer:

a=

−bdx−bx2+x3+6x2+2b−4d+8x/

dx2+x3−12

Step-by-step explanation:

8 0
3 years ago
A line contains points M(1,3) and N(5,0). what is the slope of MN
garri49 [273]
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8 0
3 years ago
What are the coefficients in 9/3+6+9a​
Norma-Jean [14]

Answer:

9

Step-by-step explanation:

cuz it has a variable by it

7 0
2 years ago
A navigator marks three locations on a satellite map as shown. If the distance from Serravalle to San Marino is 982 miles, and t
Solnce55 [7]

                                                                    833
Seravalle____________Chiesanuova______________San Marino
    
             |---------------------------------------------------------------------|
                                          982

so the distance from Chiesanuova to Serravalle is : 
982 - 833 = 149 miles <==
3 0
3 years ago
Read 2 more answers
2^x + 3^y = 9<br>2^x+1 - 3^y+1=8<br>find x and y​
Taya2010 [7]

Suppose :

2^x = t ..**&**.. 3^y = u

_____________________________

t + u = 9 × 3 3t + 3u = 27

=====》

2t - 3u = 8 2t - 3u = 8

+ __________

5t = 35

5 × t = 5 × 7

t = 7

&

u = 2

________________________________

Thus :

2^x = 7 ===》 x = Log _ 2 { 7 }

3^y = 2 ===》 y = Log _ 3 { 2 }

8 0
3 years ago
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