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Sedbober [7]
3 years ago
9

PKEASE HELP Based on the graph, what is one solution of the equation f(x) = g(x)? graph of function f of x equals negative x plu

s one half and graph of function g of x equals x squared plus 3 multiplied by x minus 4 x = 1 x = −5 x = −4 x = −0.5
Mathematics
1 answer:
Oksanka [162]3 years ago
8 0

Answer:

x=1

x=-5

Step-by-step explanation:

we know that

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

In this problem there are two intersection points

so

The system has two solutions

we have

one solution is the point (-4.9, 5.4) and the other (0.92, -0.42)

see the attached figure

therefore

x=1

x=-5

Step-by-step explanation:

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Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

4^n+17 is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so 4^k+17 is divisible by 3

and we check what happens for k+1

4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17

3\cdot 4^k is divisible by 3 and

4^k+17 is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that 4^n+17 is divisible by 3 for all positive integers n.

Thanks

4 0
3 years ago
Destiny has 10$ and Elijah has 5$. I give each person the same amount of money each week. This situation can be represented with
Darina [25.2K]

Answer:

I do believe that the answer is 0 solutions.

Step-by-step explanation:

x+10 =x+5

Subtract 5 from both sides, you get:

x+5=x

Subtract x from both sides, and you get:

5=0 which is NOT true. Also I maybe wrong, pls don't be mad at me.

8 0
2 years ago
Can someone get a ruler or tape measurer or something and measure your forearm and left foot? It is for a math assignment cause
Alenkinab [10]

Answer:

Yes as long as you can measure in inches or centimeters.

Step-by-step explanation:

4 0
3 years ago
What is the slope of the line through (6, 9) and (7, 1)<br>a. -1/8<br>b. 8<br>c. -8<br>d. 1/8​
eduard

Answer:

Slope is  -8

Step-by-step explanation:

First and foremost, welcome to Brainly!

I'll begin with the basics of slope, just to help you get the gist of this crucial concept -

Slope can be rewritten as rise/run, although written formally as :

m = \frac{y_{2}-y_{1}  }{x_2-x_1}

when we are given two coordinates (x,y) on the line.

One important thing to note is that slope belongs to a general equation,

y = mx+b

where b represents the y intercept and m is slope.

We're given two coordinates in your question: (6,9) and (7,1):

m = \frac{1-9}{7-6} = \frac{-8}{1} =-8

m = -8 is the final answer.

I hope this helps! By the way, slope is a concept that will follow you to calculus and physics, so I urge you to practice!

5 0
3 years ago
Your grandmother deposited some money on your saving account several years ago. If after 4 years, you had $489 and after 6 years
sweet-ann [11.9K]

Answer:

12.45

Step-by-step explanation:

12.45-3

4 0
3 years ago
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