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3 years ago

Need help with this !!

Mathematics

2 answers:

adell [148]3 years ago

7 0

The answer is (8,0)

that is the answer

MArishka [77]3 years ago

7 0

The Answer is to this question is (8,0)

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OK i'm still very tired

sattari [20]

Same, I had 4 hours and a half of sleep now I have to do a final for math. Ughh

8 0

3 years ago

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Give each trig ratio as a fraction in its simplest form.

netineya [11]

Answer:

sin q = 14/50

cos q = 24/25

tan q = 7/24

sin r = 24/25

cos r = 7/25

tan r = 24/7

Step-by-step explanation:

3 0

3 years ago

F(x) = x2 + 3 <br><br> f(5) = 13<br><br> True<br> False

True [87]

Answer:

f(5) does not equal 13.

Step-by-step explanation:

When we are given a function f(x), we can substitute any value for x as long as we change that value in the equation as well.

Therefore, if we are given f(5), we changed the x. Therefore, we also change the x in the rest of the equation. This would leave us with f(5) = 5² + 3. Now, we can just simplify.

f(5) = 5² + 3

f(5) = 25 + 3

f(5) = 28

Because we are asked to find if f(5) is equal to 13, we can see that 28 is definitely not equal to 13 and determine that this statement is false.

3 0

3 years ago

The value of a 1970 comic book has increased 12% per year. It originally sold for $0.35. Write an exponential equ Show your work

Alborosie

we can think of this as the same as a deposit in a bank, so let's use the compound interest formula, since the book is increasing in value 12% per annum.

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$0.35\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years\dotfill &t \end{cases} \\\\\\ A=0.35\left(1+\frac{0.12}{1}\right)^{1\cdot 5}\implies A=0.35(1.12)^t$

6 0

3 years ago

Solve the system of equations 4x - 2y =8 3x + 4y = 17

igor_vitrenko [27]

Answer:

Solution: x = 3, y = 2, or (3, 2)

Step-by-step explanation:

Given the systems of linear equations with two variables:

$\displaystyle\mathsf{\left \{{Equation\:1:\:4x - 2y =\:8} \atop {Equation\:2:\:3x + 4y = 17}} \right}$

The <u>process of elimination</u> will be used to solve for the solution to the given problem.

First, we must multiply Equation 1 by 2:

(2)[4x - 2y] = 8(2)

8x - 4y = 16

Add the revised Equation 1 (from the previous step) to Equation 2:

$\displaystyle\mathsf{\left \ {{\quad \:\:\:8x\:- 4y = 16} \atop + {\quad\underline {\:\:3x\:+ 4y = 17\:} \underline}} \right.}\\\displaystyle\mathsf{\qquad\:\:11x\qquad\:=33}$

Next, divide both sides by 11 to solve for x:

$\displaystyle\mathsf{\frac{11x}{11}\:=\:\frac{33}{11}}$

x = 3

Substitute the value of x = 3 into Equation 1 to solve for y:

4x - 2y = 8

4(3) - 2y = 8

12 - 2y = 8

Subtract 12 from both sides:

12 - 12 - 2y = 8 - 12

- 2y = -4

Divide both sides by -2 to solve for y:

$\displaystyle\mathsf{\frac{-2y}{-2}\:=\:\frac{-4}{-2} }$

y = 2

<h2><u>Double-check:</u></h2>

In order to verify whether we have the correct values for the solution, substitute x = 3, and y = 2 into both equations:

Equation 1: 4x - 2y = 8

4(3) - 2(2) = 8

12 - 4 = 8

8 = 8 (True statement).

Equation 2: 3x + 4y = 17

3(3) + 4(2) = 17

9 + 8 = 17

17 = 17 (True statement).

Therefore, the solution to the given system is x = 3, y = 2, or (3, 2).

4 0

3 years ago

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