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3 years ago

-4x-8>-20

2 answers:

5 0

-4x - 8 > -20
Add 8 to both sides
- 4x > -12
Divide both sides by -4
**When you divide by a negative you must change the direction of the inequality sign**
x < 3
Letter C

Julli [10]3 years ago

5 0

-4x-8>-20
Add 8 to both sides
-4x>-12
Divide -4 on both sides while flipping the inequality sign
Final Answer: x<3

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How do you triple rhe surface area of a cone

Gelneren [198K]

Increase the height so that the slant height triples.

For example:
Say that lateral height is 2 and the radius is 1. The lateral surface area would be 6.28

if I make the lateral height 6, which is triple the original lateral height, the lateral surface area becomes 18.84, which is triple the original surface area

Hope I help :P

3 0

3 years ago

What is the equation of the graph below? A graph shows a parabola that opens up with a vertex at negative three comma negative o

Tomtit [17]

Answer:

$y=(x+3)^2-1\\y=x^2+6x+8$

Step-by-step explanation:

Given:

Vertex of the parabola is, $(h,k)=(-3,-1)$

Equation of the parabola in vertex form is given as:

$y=(x-h)^2+k$

Plug in $h=-3,k=-1$ . This gives,

$y=(x-(-3))^2+(-1)\\y=(x+3)^2-1$

Therefore, the equation of the given graph is

$y=(x+3)^2-1\\y=x^2+6x+8$ .

5 0

3 years ago

Complete the table of values

Agata [3.3K]

Both problems give you a function in the second column and the x-values. To find out the values of a through f, you need to plug in those x-values into the function and simplify!

You need to know three exponent rules to simplify these expressions:
1) The negative exponent rule says that when a base has a negative exponent, flip the base onto the other side of the fraction to make it into a positive exponent. For example, $3^{-2} =
\frac{1}{3^{2} }$ .
2) Raising a fraction to a power is the same as separately raising the numerator and denominator to that power. For example, $(\frac{3}{4}) ^{3} = \frac{ 3^{3} }{4^{3} }$ .
3) The zero exponent rule says that any number raised to zero is 1. For example, $3^{0} = 1$ .


Back to the Problem:
Problem 1
The x-values are in the left column. The title of the right column tells you that the function is $y = 4^{-x}$ . The x-values are:
1) x = 0
Plug this into $y = 4^{-x}$ to find letter a:
$y = 4^{-x}\\
y = 4^{-0}\\
y = 4^{0}\\
y = 1$

2) x = 2
Plug this into $y = 4^{-x}$ to find letter b:
$y = 4^{-x}\\ 
y = 4^{-2}\\ 
y = \frac{1}{4^{2}} \\ 
y= \frac{1}{16}$

3) x = 4
Plug this into $y = 4^{-x}$ to find letter c:
$y = 4^{-x}\\ 
y = 4^{-4}\\ 
y = \frac{1}{4^{4}} \\ 
y= \frac{1}{256}$


Problem 2
The x-values are in the left column. The title of the right column tells you that the function is $y = (\frac{2}{3})^x$ . The x-values are:
1) x = 0
Plug this into $y = (\frac{2}{3})^x$ to find letter d:
$y = (\frac{2}{3})^x\\
y = (\frac{2}{3})^0\\
y = 1$

2) x = 2
Plug this into $y = (\frac{2}{3})^x$ to find letter e:
$y = (\frac{2}{3})^x\\ y = (\frac{2}{3})^2\\ y = \frac{2^2}{3^2}\\
y = \frac{4}{9}$

3) x = 4
Plug this into $y = (\frac{2}{3})^x$ to find letter f:
$y = (\frac{2}{3})^x\\ y = (\frac{2}{3})^4\\ y = \frac{2^4}{3^4}\\ y = \frac{16}{81}$

-------

Answers:
a = 1
b = $\frac{1}{16}$ 
c = $\frac{1}{256}$
d = 1
e = $\frac{4}{9}$
f = $\frac{16}{81}$

5 0

3 years ago

Solve for x. Help please

MAVERICK [17]

X = 10

The triangles are similar by SAS, so we can set up a proportion of their sides.

9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2

Reduce
3/8 = 12/3x+2

Cross multiply
3(3x+2) = 12*8

Distribute and multiply
9x + 6 = 96

Subtract 6
9x = 90

Divide by 9
x = 10

Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)

4 0

3 years ago

Celinda thought of 89.5 in parts, 80 + 9 + 0.5, and divided each part: 80 ÷ 10 = 8; 9 ÷ 10 = or 0.9; 0.5 ÷ 10 = 0.05. Then she a

Arlecino [84]

Answer:

Dividing each part into 10 and then summing the results up, is equivalent to dividing 89.5 into 10.

Step-by-step explanation:

This example refers to the Distributive Property of the division, which is valid when the dividend is decomposed.

A simple example could be: 400 ÷ 10 = (200 ÷ 10) + (200 ÷ 10)

In the exposed example we know that 89.5 = 80 + 9 + 0.5.

Option 1

(80/10) + (9/10) + (0.5/10) =

8 + 0.9 + 0.05=

8.95

Option 2

89.5/10 = 8.95

8 0

3 years ago