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Maru [420]
2 years ago
11

Solve and graph each of the following. Show your work to receive full credit.5x – 6 – 8x ≤ 9

Mathematics
1 answer:
alexandr402 [8]2 years ago
4 0

Answer: x> or equal to -5

Step-by-step explanation:

5x – 6 – 8x ≤ 9

Combine the lioe numbers

-3x-6≤ 9

+6 to both sides

-3x≤ 15

Divide by a -3 to both sides

X>or equal to -5

Hope that helps

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Given quadrilateral ABCD is congruent to Quadrilateral A'B'C'D', What is the measure of B'C'?
Vadim26 [7]
The measure of B’C’ is 18 inches
4 0
2 years ago
Given a function <img src="https://tex.z-dn.net/?f=f%28x%29%3D3x%5E4-5x%5E2%2B2x-3" id="TexFormula1" title="f(x)=3x^4-5x^2+2x-3"
Levart [38]

Answer:

\huge\boxed{f(-1) = -7}

Step-by-step explanation:

In order to solve for this function, we need to substitute in our value of x inside to find f(x). Since we are trying to evalue f(-1), we will substitute -1 in as x to our equation.

f(-1) = 3(-1)^4 - 5(-1)^2 + 2(-1) - 3

Now we can solve for the function by multiplying/subtracting/adding our known values.

Starting with the first term to the last term:

  • 3(-1)^4 = 3

<u><em>WAIT</em></u><em>!</em><em> How is this possible? </em>-1^4 = -1 (according to my calculator), and 3 \cdot -1 = -3, not 3!

It's important to note that taking a power of a negative number and multiplying a negative number are two different things. Let's use -2^2 as an example.

What your calculator did was follow BEMDAS since it wasn't explicitly told not to.

BEMDAS:

- Brackets

- Exponents

- Multiplication/Division

- Addition/Subtraction

Examining the equation, your calculator used this rule properly. Note that exponents come over multiplication.

So rather than  being <em>"-2 squared"</em> - it's <em>"the negative of of 2 squared."</em>

Tying this back into our problem, the squared method would only be true if it looks like -1^4. However, since we're substituting in -1, it looks like (-1)^4, so the expression reads out as "<u><em>-1 to the fourth.</em></u>"

MULTIPLYING -1 by itself 4 times results in -1\cdot-1\cdot-1\cdot-1=1.

Applying this logic to our original term, 3(-1)^4:

  • 3(-1\cdot-1\cdot-1\cdot-1)
  • 3(1)
  • 3

Therefore, our first term is 3.

Let's move on to our second and third terms.

Second term: -5x^2

  • -5(-1)^2

Applying the same logic from our first term:

  • -5(-1 \cdot -1)
  • -5(1)
  • -5

Third term: 2x

  • 2(-1) = -2

-3 is just -3, no influence of x.

Combining our terms, we have 3-5-2-3.

This comes out to be -7, hence, the value of f(-1) for our function f(x)=3x^4-5x^2+2x-3 is <u>-7</u>.

Hope this helped!

4 0
3 years ago
Read 2 more answers
Hey can someone help me ?
morpeh [17]
Sure what do u need help with?
6 0
2 years ago
The volume of the plastic cylinder is 64. A glass cylinder has the same height and radius is half of the plastic cylinder radius
sp2606 [1]

Answer:

I am not sure if I'm correct, but I got 16

Step-by-step explanation:

lets look at the formula for cylinder volume:

V=π*r^(2)*h

now, lets plug in 64

64=π*r^(2)*h

h=64/(π*r^(2))

Volume of glass cylinder is

V=((0.5r)^2)*(64/(π*r^(2)))*π

V=0.25π*r^(2)*(64/(π*r^(2)))

V=16π*r^(2)/(π*r^(2)

V=16

8 0
3 years ago
C. What is located at the reflection of (3,1) across
Iteru [2.4K]

Check the picture below.

6 0
2 years ago
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