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PIT_PIT [208]
3 years ago
6

Is 16x^2-56x+49 a perfect square trinomial? How do you know ? If it is, factor the expression. Please show your work

Mathematics
1 answer:
daser333 [38]3 years ago
6 0

Answer:

  • yes
  • (4x -7)^2

Step-by-step explanation:

If it is, the first and last terms are perfect squares, and the middle term is twice the product of the roots of those squares.

  16x^ = (4x)^2 . . . . a perfect square

  49 = 7^2 . . . . . . . a perfect square

  -2(4x)(7) = -56x . . . . . matches the middle term, so the factoring is ...

  16x^2 -56x +49 = (4x -7)^2

_____

The sign in the binomial factors is the same as the sign of the middle term of the trinomial.

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PLS I NEED HELP! Which graph grows the fastest as x gets larger?
jok3333 [9.3K]

Answer:

y=5^x

Step-by-step explanation:

5 to whatever power will always be larger than 4, 3, or 2.

For example:

3 squared = 9

5 squared = 25

4 squared = 16

2 squared = 4

25 is greater than 9, 16, and 4

4 0
3 years ago
Find the 9th term of the geometric sequence 5, -25, 125
UkoKoshka [18]

Answer:

The previous number keeps getting multiplied by - 5

Step-by-step explanation:

5 × -5 = -25

-25 × -5 = 125

125× -5 = -625

-625 × -5 = 3,125

3125 × -5 = -15,625

-15,625 × -5 = 78,125

78,125 × -5 = -390, 625

-390,625 × -5 = 1,953,125

1,953,125 × -5 = 9,765,625

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7 0
3 years ago
50:10 in simplest form
Reil [10]

Answer:

5/1 or 5:1

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A chemistry teacher needs to mix a 20% salt solution with an 80% salt solution to make 20 qt of a 40% salt solution. How many qu
Svetlanka [38]

Answer:

  • 6 2/3 qt 80%
  • 13 1/3 qt 20%

Step-by-step explanation:

It is often convenient to solve a mixture problem by letting a variable represent the quantity of the higher-concentration contributor to the mix.

__

We can let x represent the number of quarts of 80% solution needed. Then (20-x) is the number of quarts of 20% solution needed. The amount of salt in the final mix is ...

  0.80x +0.20(20-x) = 0.40(20)

  0.60x = 0.20(20) . . . . . . . . subtract 0.20(20) and simplify

  x = 20/3 = 6 2/3 . . . . . . . . . divide by 0.60; quarts of 80% solution

  (20 -x) = 13 1/3 . . . . . . . . . . amount of 20% solution needed

The teacher should mix 6 2/3 quarts of 80% solution with 13 1/3 quarts of 20% solution.

3 0
3 years ago
A community is planning to build a rectangular garden.the width of the garden is 27/4 feet and the perimeter of the garden is 37
Crank

We know that the width of the garden is = \frac{27}{4} feet = 6.75 feet

and Perimeter of the garden is = 37.5 feet

Also, we know that for a rectangular space perimeter = 2 * (l + w)

⇒ 37.5 = 2 * (l + 6.75)

⇒ 37.5 = 13.5 + 2*l

⇒ 24 = 2*l

⇒ l = 12 feet

Now, we need to determine how much square feet of mulch is required, hence we need to calculate the area of the garden

Area = l * w

⇒ Area = 12 * 6.75

⇒ Area = 81 square feet

Hence, they require 81 square feet of mulch

7 0
4 years ago
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