MATHEMATICS HIGH SCHOOL

F(x)=5x+1 Find f(-4)
Any idea how to solve this question?

Answers

Answer 1
Answer: I have an idea also.

so f(x) means the function of x
a function is when you put a value into the function (think of it like a machine) it processes the value and spits a value out so
f(-4) means put -4 into the funciton so put -4 for x in the funciton so
f(-4)=5(-4)+4
f(-4)=-20+1
f(-4)=-19
Answer 2
Answer: Yes, I have an idea.

Take the (-4) and put it into the F(x) in place of the 'x'.

Try it and let us know if it works.

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What is the nth term of 60,100,140 simplified

Solve for L.
P = 2L + 2W

Answers

Answer:

The answer is L=(P-2*W)/(2)

Step-by-step explanation:

In order to solve for L, we have to free the L variable.

Mathematically, we have to subtract, add, multiply or divide the same terms from each side of the equation. In that way, we can change the equation and free a variable.

Therefore, we have to subtract 2*W term, and then we have to divide by 2.

So,

P=2*L+2*W\nP-2*W=2*L+2*W-2*W\nP-2*W=2*L\n(P-2*W)/(2)=(2*L)/(2)\n L=(P-2*W)/(2)

Finally, the expression for L is L=(P-2*W)/(2)
subtract 2W from both sides

2L = P - 2W

divide both sides by 2

L = P/2 - W

Two towns A and B are 12.0 mi apart and are located 5.0 and 3.0 mi, respectively, from a long, straight highway. A construction company has a crontract to build a road from A to the highway nad then to B. Analyze a model to determine the length to the nearest tenth of a mile of the shortest road that meets these requirements

Answers

The solution to the problem is as follows:

d=AS+SB=AS+SB'=√(AB"²+B'B"²) 
AB"²=12²-2²=140
 
d=√(140+8²)=√204=14.283 miles

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Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = 1.Which product should Tomas choose?

A) (2x + 1)(2x2 + 2x – 1)
B) (2x + 1)(4x3 + 2x – 1)
C) (2x + 1)(4x2 – 2x + 1)
D) (2x + 1)(2x2 – 2x + 1)

Answers

General form: a^3 + b^3 = (a + b) (a^2 -ab +b^2)

Now replace with a= 2x, b = 1

(2x)^3 + 1^3 = (2x + 1) [ (2x)^2 -(2x)(1) + 1^2) = (2x + 1) (4x^2 - 2x + 1)

Therefore, the answer is the option C)
(a+b)(a²-ab+b²)
(2x+1)((2x)²-(2x)(1)+1²)
(2x+1)(4x²-2x+1)


C is answer

Use long division.
 (30x³+4x²-150)÷(3x-5)

Answers

30x^3+4x^2-150=10x^2(3x-5)+18x(3x-5)+30(3x-5)=\n \n=(3x-5)(10x^2+18x+30)\n\n \n (30x^3+4x^2-150):(3x-5)= ((3x-5)(10x^2+18x+30))/(3x-5) =10x^2+18x+30

6. You deposit $1500 in an account that pays 5% interest yearly.a. Write an exponential equation describing this situation.




b. How much money do you have after 6 years?

Answers

The answer to B is $1950 because the 5% equal 75 dollars and 75 times 6 equals 450 so 1500 plus 450 equal 1950

A savings account with compounded interest can be modeled by which type of graph

Answers

Answer: The answer is (C) Exponential.

Step-by-step explanation: We are to select out of the given options the type of graph that a savings account with compounded interest be modelled.

We know that compounding gives more interest because we are earning interest on interest, and not just on the principal.

The formula foe compound interest is given by

C.I.=P(1+(r)/(100))^n, where, 'P' is the principal, r is the rate of interest and 'n' is the number of years.

Therefore, we can see that the function is of exponential type.

If we draw the graph of compound interest earned every year with a particular rate of interest is of exponential type.

So, the correct option is (C) Exponential.
exponential since it it growing apon itself and the bigger it gets, the faster it grows
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