Terri's teacher gives her the equation 3(5)^x=127-2x, and tells her that she will not know how to solve it algebraically. Explain how Terri could use a graph to solve the equation, find the value of x to the nearest tenth

Answers

Answer 1

Answer: $f(x)=3\cdot5^x\ \ \ and\ \ \ g(x)=127-2x\n\nf(x)=g(x)\ \ \ \Leftrightarrow\ \ \ x\approx2.3043\n\nthe\ graph\ in\ annex$

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I NEED HELP WITH ALGEBRA TWO!Tickets to a concert are available online for $20 each, plus a one-time handling fee of $1.75. The total cost is a function of the number of tickets bought. What function rule models the cost of the concert tickets ( t )? Evaluate the function for 3 tickets.
A. 20t + 1.75; $25.25
B. 1.75t + 20; $25.25
C. 20t + 1.75; $61.75
D. 1.75t + 20; $61.75

Answers

Total cost function for threeticket $61.75 (1.75 + 20t)

Given that;

Cost of each ticket = $20 each

One-time handling fee = $1.75

Find:

Total cost function for three ticket

Computation:

Assume;

Number of ticket = t

So,

Total cost = One-time handling fee + (Number of ticket)(Cost of each ticket)

Total cost = 1.75 + (t)(20)

Total cost = 1.75 + 20t

Number of ticket = 3

So,

Total cost = 1.75 + 20(3)

Total cost = 1.75 + 60

Total cost = $61.75

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So its 20t+1.75 because each ticket is 20 dollars, so when you substitute 3 into t, the answer is 61.75

What is the positive root of the equation x ^2 + 5x = 150?

Answers

the awnser I came out with is x=10,-15

From the top of a building, 40 feet above the ground, a construction worker locates a rock at a 12° angle of depression. How far is the rock from the building?

Answers

Answer:

188 m

Step-by-step explanation:

$\tan(12) = (40)/(x) \n x = (40)/( \tan(12) ) \n x = 188$

Answer:

I think that the other answer is WRONG

tan(12) = $(x)/(40)$

x = tan(12)*40 = 8.5

Step-by-step explanation:

$(sin\left(78\right))/(40)=(sin\left(12\right))/(x)$ = 8.5

If (2m) k=6 then mk=

Answers

mk= 3 since 2mk=6 just divide both sides by 2 since in multiplication brackets are irrevant

How many roots does the function have?f(x)= x^6 + 2x^5 - 2x^4 + 3x^3 + 4x^2 - 5x +7

A. 21

B. 2

C. 6

D. 7

Answers

Answer:

C. 6

Step-by-step explanation:

The degree of the polynomial function is 6. The "fundamental theorem of algebra" tells you the number of roots is equal to the degree of the polynomial.

f(x) has 6 roots.

Multiply and simplify (a-3b)^2

Answers

Simple,

distribute the $^(2)$

It may seem tricky..there is a hidden term in there that most people would forget....

but, it's saying multiply (a-3b)(a-3b) (FOIL)

a*a= $a^(2)$ (First)

-3b*a= -3ab (Outer)

-3b*a= -3ab (Inner)

-3b*-3b= 9 $b^(2)$ (Last)

Making it....

$a^(2)+-3ab+-3ab+9 b^(2)$

Combine terms...

Making your answer, $a^(2) -6ab+9 b^(2)$

( a - 3b ) ( a - 3b )

= a² - 3ab - 3ab + (-3b)²

= a² - 6ab + 9b²

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