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ioda
3 years ago
9

30 POINTS FOR WHO EVER GIVE ME THE RIGHT ANSWER

Mathematics
2 answers:
Alina [70]3 years ago
4 0

Answer:

False.

Step-by-step explanation:

\dfrac{1}{x^{-3}} = x^3

x^3 is a simplified expression. The given expression is not simplified.

tigry1 [53]3 years ago
3 0
False if there is a negative exponent move it to the other side for the fraction
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The length of ​ AB¯¯¯¯¯ ​ is 10 inches. A dilation with a scale factor of 25 is applied.
Lostsunrise [7]

The dilation scale factor is applied to all lengths.

... A'B' = (10 in)×25 = 250 in.

6 0
3 years ago
Explain the steps necessary to convert a quadratic function in standard form to vertex form
SIZIF [17.4K]

Answer:

See below.

Step-by-step explanation:

Here's an example to illustrate the method:

f(x) = 3x^2 - 6x + 10

First divide the first 2 terms by the coefficient of x^2 , which is 3:

= 3(x^2 - 2x) + 10

Now  divide the -2 ( in -2x) by 2 and write the x^2 - 2x in the form

(x - b/2)^2 - b/2)^2  (where b = 2) , which will be equal to x^2 - 2x in a different form.

= 3[ (x - 1)^2 - 1^2 ] + 10 (Note: we have to subtract the 1^2 because (x - 1)^2 = x^2 - 2x  + 1^2  and we have to make it equal to x^2 - 2x)

= 3 [(x - 1)^2 -1 ] + 10

= 3(x - 1)^2 - 3 + 10

= <u>3(x - 1)^2 + 7 </u><------- Vertex form.

In general form the vertex form of:

ax^2 + bx + c  = a [(x - b/2a)^2 - (b/2a)^2] + c .

This is not easy to commit to memory so I suggest the best way to do these conversions is to remember the general method.

3 0
3 years ago
Read 2 more answers
What is the volume of a rectangular prism with the dimensions: base 3 1 2 cm, height 1 1 2 cm, and length 5 1 2 cm?
Elanso [62]

Answer:

The volume of a rectangular prism is 28\frac{7}{8}\ cm^{3}

Step-by-step explanation:

we know that

The volume of the rectangular prism is equal to

V=BHL

Convert the given dimensions to an improper fractions

B=3\frac{1}{2}\ cm=\frac{3*2+1}{2}=\frac{7}{2}\ cm

H=1\frac{1}{2}\ cm=\frac{1*2+1}{2}=\frac{3}{2}\ cm

L=5\frac{1}{2}\ cm=\frac{5*2+1}{2}=\frac{11}{2}\ cm

substitute in the formula

V=(\frac{7}{2})(\frac{3}{2})(\frac{11}{2})=\frac{231}{8}\ cm^{3}

Convert to mixed number

\frac{231}{8}=\frac{224}{8}+\frac{7}{8}=28\frac{7}{8}\ cm^{3}

5 0
3 years ago
Is 3 times 5 hundreds. Equal 15 hundreds
lapo4ka [179]

Answer:yes 3 times 500 = 1500

Step-by-step explanation: because 3 of 500 = 1500

hope this helps

6 0
3 years ago
How do you rename a mixed number as a fraction khan academy.
elena-s [515]

Answer:

There's no answer choices but I can give you an example.  

Step-by-step explanation:

  1. Let's say you have \frac{25}{4}.  
  2. Think about what the closest whole number 25/4 will give you.  Since 24 and 25 are close you can do 24/4 and get 6.  
  3. Now since you took one number away from the 25 you have a remainder.  
  4. Since the denominator is 4 your final answer would be 6\frac{1}{4}.  

Hopefully this helps.  

5 0
2 years ago
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