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3 years ago

Factor * (x^2/9)- 64

Mathematics

1 answer:

Hoochie [10]3 years ago

5 0

Step-by-step explanation:

We use

$a ^{2} - \times ^{2} = (a - \times )(a + \times )$

Now we have

$\frac{ { \times }^{2} }{9} - 64 = ( \frac{ \times }{3} ) ^{2} - {8}^{2} \\ = ( \frac{ \times }{3} - 8)( \frac{ \times }{3} + 8)$

Hope that useful for you

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art supplies in washington DC cost 28 dollars if the sales tax is 6 percent what was the total cost of supplies

vova2212 [387]

(28 : 100) *6 = 1.68 (tax)

28 + 1.68 = 29.68 (total cost)

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3 years ago

the graph of h is the graph of f(x)=x^2 translated 4 units left and 7 units down. Write the function H in vertex form.

adoni [48]

Answer:

f(x)=a(x - h)2 + k

Much like a linear function, k works like b in the slope-intercept formula. Like where add or subtract b would determine where the line crosses, in the linear, k determines the vertex of the parabola. If you're going to go up 2, then you need to add 2.

The h determines the movement horizontally. what you put in h determines if it moves left or right. To adjust this, you need to find the number to make the parentheses equal 0 when x equals -2 (because moving the vertex point to the left means subtraction/negatives):

x - h = 0

-2 - h = 0

-h = 2

h = -2

So the function ends up looking like:

f(x)=a(x - (-2))2 + 2

Subtracting a negative cancels the signs out to make a positive:

f(x)=a(x + 2)2 + 2

Step-by-step explanation:

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3 years ago

Jadyn prepares a bag of candy before a road trip. The bag contains individual pieces of Skittles, M&Ms, Life Savers and Sour

kipiarov [429]

Given condition is- The bag contains individual pieces of Skittles, M&Ms, Life Savers and Sour Patch Kids.

Let the total number of candies in the bag be = x

Then, Skittles are $\frac{1x}{2}$

Candies left = $x-\frac{x}{2}$ = $\frac{x}{2}$

M&Ms are = $\frac{1x}{8}$

Now remaining candies are= $\frac{3x}{8}$

Now Life savers are = $\frac{9x}{32}$

Now adding all these 3 candies

$\frac{x}{2}+ \frac{x}{8}+\frac{9x}{32}$

= $\frac{29x}{32}$

Now the remaining candies sour patch will be =

$x-\frac{29x}{32} =\frac{3x}{32}$

Hence, sour patch kids are $\frac{3}{32}$

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3 years ago

Carl ordered a package that weighs 192 pounds. It was shipped to him inside a box and surrounded by packing material. The total

AURORKA [14]

Answer:

The weight of box and pocking material $=13$ pound

Step-by-step explanation:

Let the weight of box and packing material $=x$

weight of package $=192$ pounds

total weight $=205$ pound

$x+192=205$

Subtract both side by $192$

$x+192-192=205-192\\x+0=13\\x=13$

Hence weight of box and packing material $=13$ pound

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3 years ago

If DE = 8, PS = 4, and PQ = 3, then what is the scale factor of DEFG to PQRS?

posledela

The scale factor of DEFG to PQRS is: 3/8.

<h3>What is a Scale Factor?</h3>

A scale factor of a dilation is the number by which the size of an original figure is changed to a new figure.
Scale factor is ratio of corresponding side of new figure to original figure.

Thus:

DE corresponds to PQ.

PQRS is the new figure.

DE = 8; PQ = 3

Therefore:

Scale factor of DEFG to PQRS = PQ/DE

Scale factor = 3/8.

Thus, the scale factor of DEFG to PQRS is: 3/8.

Learn more about scale factor on:

brainly.com/question/2826496

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2 years ago