All categories

2 years ago

Ava says that 100 12 is equivalent to 2 (52 – 6). Is this true or false? O True False

Mathematics

1 answer:

viktelen [127]2 years ago

5 0

Answer:

False

Step-by-step explanation:

Assuming that the first equation is 10x - 12, you need to solve both equations in order to see if the equations are equivalent from each other.

$10x-12$

$10x-12=2(5x-6)$

$=2(5x-6)$

Then...

$2\times(52-6)$

Use Order of Operations...

$52-6=46$

$2\times46=92$

$2(5x-6)$

Therefore "false" or the second option is your answer.

Hope this helps.

You might be interested in

A researcher wishes to estimate, with 99% confidence, the population proportion of adults who think the president of their co

scoray [572]

Answer:

a. n=4148

b. n=3909

c. The sample size is smaller if a known proportion from prior study is used. The difference in sample sizes is 239

Step-by-step explanation:

a. For sample where no preliminary estimate is given, the minimum sample size is calculated using the formula:

$n=p(1-p)(\frac{z}{ME})^2$

Where:

$ME=$ Margin of error
$p=$ is the assumed proportion

#Let p=0.5, substitute in the formula to solve for n:

$n=0.5(1-0.5)\times (2.576/0.02)^2\\\\=4147.36\approx 4148$

Hence, the minimum sample size is 4148

b. If given a preliminary estimate p=0.38, we use the same formula but substitute p with the given value:

$n=p(1-p)(z/ME)^2\\\\=0.38(1-0.38)(2.576/0.02)^2\\\\=3908.47\approx3909$

Hence, the minimum sample size is 3909

c. Comparing the sample sizes from a and b:

$n_{0.5}>n_{0.38}\\\\n_{0.5}-n_{0.38}=4148-3909=239$

Hence, the actual sample size is smaller for a known proportion from prior a prior study.

8 0

3 years ago

An item cost $480 before tax , and tge sales tax is $9.60

elena-s [515]

Answer:

0.02 ; 2%

Step-by-step explanation:

Given :

Cost of item = $480

Tax amount on item = $9.60

The sales tax rate = tax amount on item / cost of item

Sales tax rate = $9.60 / $480 = 0.02

As a percentage :

0.02 * 100% = 2%

7 0

3 years ago

If g(x)=a x f(x+b) how is f(x) transformed to get g(x)

guajiro [1.7K]

Answer:

Ok, we know that g(x) = a*f(x + b), we want to find all the transformations that we must apply to f(x) to construct g(x).

Let's assume at the beggining that T2(T1(f(x))) = g(x), and start appliying the transformations.

First, we have a horizontal shift.

If we want to move the graph A (A positive) units to the right, we should have:

g(x) = f(x - A)

in this case we have

g(x) = f(x + b) = f(x - (-b))

So we have a shift of -b units to the right, or b units to the left.

Second:

We have a vertical contraction/dilation.

if we have a function f(x), a compression/dilation of scale factor A is written as:

g(x) = A*f(x)

if A > 1, we have a dilation.

if 0 < A < 1, we have a contraction.

In this case the scale factor is a.

g(x) = a*f(x).

Now, applying both transformations we have:

> shift of b units to the left.

> contraction/dilation of scale factor a.

g(x) = a*f(x +b)

4 0

3 years ago

Read 2 more answers

Binomial factor of 25x2 + 40xy + 16y2 ?

Reika [66]

Answer:

(5x +4y)^2

Step-by-step explanation:

The first and last terms are both perfect squares, and the middle term is twice the product of their roots. That means the trinomial is the perfect square trinomial ...

25x^2 +40xy +16y^2 = (5x +4y)^2

_____

It matches the pattern ...

a^2 +2ab +b^2 = (a +b)^2

8 0

3 years ago

Find the next two terms in this<br> sequence.<br> 1, 2, 6, 24, 120, [?],[]

Bogdan [553]

1x1=1

1x2=2

2x3=6

6x4=24

24x5=120

120x6=720

720x7=5040

the answer is 720 and 5040

4 0

2 years ago