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2 years ago

18x + 101 = 4 91 – 51'= -1 help me pleasee

Mathematics

1 answer:

juin [17]2 years ago

3 0

Distribute the -9 into the values in the parentheses.

STEP BY STEP

-9(-2x-3)

-9*-2x=18x

-9*-3=27

Therefore, the equation then becomes: 18x+27.

The answer is the first choice, or A.

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PLEASE ANSWE

NNADVOKAT [17]

Answer:

1. y=x

2. y=x^3

3. y=x^2

Step-by-step explanation:

The parent function is any one of the 12 basic functions before transformations.

The 12 basic functions can be found here: http://www.learntutoring.com/LTS_References/Math/Precalculus/12%20Basic%20Functions.pdf

3 0

3 years ago

F (x) = 5x + 3<br> What is the value of x when f(x) = 6?

lapo4ka [179]

Answer:

The value of x when f(x) equals 6 is 3/5.

Step-by-step explanation:

In order to solve this problem, we shall start by inputting what we know.

Since the problem provides you with the value of f(x), we will input the value in the given equation.

Original Equation: f(x) = 5x + 3

New Equation: 6 = 5x + 3

Now that all known values of variables have been added to the equation, we will begin to solve.

Start by subtracting both sides of the equation by 3. This step is necessary to isolate x in order to find it's value.

6 = 5x + 3

6 - 3 = 5x + 3 - 3

3 = 5x

Next, we shall divide both side of the equation by 5. This step will allow us to isolate x and finally solve its value.

3 = 5x

3/5 = 5x/5

3/5 = x

Thus, the value of x in f(x) = 5x + 3 is 3/5.

---

To be sure your answer is correct, insert the values of both f(x) and x into the equation provided and solve like so...

f(x) = 5x + 3

6 = 5(3/5) + 3

6 = 3 + 3

6 = 6 ✅

6 0

2 years ago

Find the exact area of the surface obtained by rotating the curve about the x-axis.

padilas [110]

$\bf \begin{cases}
y=sin\left( \frac{\pi x}{6} \right)\\
0\le x\le 6\\
\textit{about the x-axis, or }y=0
\end{cases}\\\\
-----------------------------\\\\
\textit{using the disc method}
\\\\
V=\int\limits_{0}^{6}\pi \left[ sin\left( \frac{\pi x}{6} \right) \right]^2\cdot dx\implies \pi\int\limits_{0}^{6} \left[ sin\left( \frac{\pi x}{6} \right) \right]^2\cdot dx
\\\\\\
 \pi\int\limits_{0}^{6} sin^2\left( \frac{\pi x}{6} \right) \cdot dx\\\\
-----------------------------\\\\$

$\bf \textit{now, let us check the double angle identities}
\\\\
cos(2\theta)=
\begin{cases}
cos^2(\theta)-sin^2(\theta)\\
\boxed{1-2sin^2(\theta)}\\
2cos^2(\theta)-1
\end{cases}
\\\\\\
thus\implies cos(2\theta)=1-2sin^2(\theta)\implies 2sin^2(\theta)=1-cos(2\theta)
\\\\\\
sin^2(\theta)=\cfrac{1-cos(2\theta)}{2}\qquad thus\\\\
-----------------------------$

$\bf \pi\int\limits_{0}^{6} \left[ sin\left( \frac{\pi x}{6} \right) \right]^2\cdot dx\implies 
\pi\int\limits_{0}^{6} \cfrac{1-cos\left(2\cdot \frac{\pi x}{6} \right)}{2}\cdot dx
\\\\\\
\pi\int\limits_{0}^{6}\cfrac{1}{2}dx-\pi \cdot \cfrac{1}{2}\pi\int\limits_{0}^{6}cos\left(\frac{\pi x}{3} \right)dx
\\\\\\
\left[\cfrac{\pi x}{2}-\cfrac{\pi }{2}\cdot \cfrac{sin\left(\frac{\pi x}{3} \right)}{\frac{\pi x}{3} } \right]\implies \left[ \cfrac{\pi }{2}x-\cfrac{3sin\left(\frac{\pi x}{3} \right)}{2x} \right]_0^6$

and surely, you'd know how to get the values for the bounds there

5 0

3 years ago

I'm learning about Equivalent systems of equations, please help!

kobusy [5.1K]

OK to solve this, we have to solve each system presented through elimination or substitution and find which one is equivalent to that of the teacher's!

First let's solve for the teacher's:
-2x+5y=10
-3x+9y=6
Solve by substitution (I think elimination might be easier to do for this one, but I don't really remember 100% sorry!)
Isolate the x (or y) variable in the first equation
-2x+5y=10
-2x=10-5y
$x= \frac{10-5y}{-2}$
Substitute x into the next equation and solve for y
-3(10-5y/2)+9y=6
3*10-5y/2+9y=6
(multiply both sides by 2)
3(10-5y)+18y=12
30-15y+18y=12
30+3y=12
3y=-18
y=-6

Substitute in x
x= -10-5(-6)/2
x=-20

TEACHER'S ANSWER (-20,-6)

GOKU
x-3y=-2
-2x+5y=-7
Do the same as above
Solve for x
x-3y=-2
x=3y-2
Plug in
-2(3y-2)+5y=-7
4-6y+5y=-7
4-y=-7
-y=-11
y=11

x=(3(11)-2)
x=31
GOKU'S ANSWER (31, 11)

SELINA:
-5x+14y=16
-3x+9y=12
One last time!! :)

-5x+14y=16
-5x=16-14y
x=(16-14y)/-5

-3(-(16-14y/5)+9y=12
3*16-14y/5+9y=12
3*16-14y+45y=60
48-42y+45y=60
48+3y=60
3y=12
y=4

x=-(16-14(4))/5
x=8
SELINA'S ANSWER
(8,4)

So neither Goku or Selina got the same answer as the teacher

3 0

3 years ago

Read 2 more answers

Mark pulled weeds from the garden for 10 more minutes than Ted.

Gwar [14]

B because 10p means 10 × p

5 0

3 years ago

Read 2 more answers