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julsineya [31]
3 years ago
5

Simplify the expression. 6-4[(8z - 8y)+2(-y-z)]–3

Mathematics
1 answer:
forsale [732]3 years ago
5 0

Step-by-step explanation:

6-4(8z-8y)+2(-y-z)-3

=6-32z+32y-2y-2z-3

=6-3-32z-2z+32y-2y

=3-34z+30y

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A drink is mixed in the ratio
Contact [7]

Answer:

3

Step-by-step explanation:

 Drink mix ratio:

        Lemonade   :    Orange      :     Cranberry

                 6           :          3          :          C

  Fraction  of Cranberry juice  = \frac{3}{12}

Sum of the ratio = 6 + 3 + C  = 9 + C

   Fraction of Cranberry;

                \frac{C}{9 + C}   = \frac{3}{12}

               3(9 + C)  = 12C

               27 + 3C  = 12C

               27  = 12C - 3C

                9C  = 27

                   C = 3

The missing number will be 3

4 0
4 years ago
Use the boundedness theorem to determine whether the polynomial function satisfies the given condition. The polynomial f(x) = x4
7nadin3 [17]

Answer:

So f(x) has no real greater than 8. Step - by - step explanation is shown in the attachment.

Step-by-step explanation:

Let f ( x) be a polynomial with real coefficients and with a positive lending coefficient.

If f(x) is divided by x-c and

a) if c>0 and all number in the bottom row of the synthetic division are non negative , then f(x) has no zero greater than c.

b ) if c<0 and the number in the bottom row of the synthetic division alternate in sign  then f (x) has no zero less than c

As shown in the figure

Since the number in the bottom row of the synthetic division alternate in sign

So f(x) has no real greater than 8

6 0
3 years ago
A ladder is leaning against a building.The distance from the bottom of the ladder to the building is 6ft shorter than the length
Akimi4 [234]

Answer:

15 ft

Step-by-step explanation:

Hi, the illustration for the problem is a right triangle with:

hypotenuse (C)= the length of the ladder = L

horizontal side(A) = distance from bottom of the ladder to the building = L - 6

vertical side(B) = distance from the top of the ladder to the bottom of the building = L - 3

So, we can use Pythagoras formula:

A2 +B2= C2

(L – 6 )² + (L-3)² = L²

L²-12L+36+L²-6L+9 =L²

L2 -18L+45 =0

APPLYING QUADRATIC FORMULA WE OBTAIN:

L =15 OR L=3

If L=3

Vertical side = L-3 = 0 (Length can´t be 0)

So L=15

6 0
3 years ago
Mrs.Garcia used 5 cups of flour to make 3 loaves of bread. Many can she make if she only has 33 cups of flour?
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6 0
3 years ago
Graph the following figure in the coordin<br> X(0,1), Y(4, - 2), Z(-5,-2)<br> The perimeter is
andrezito [222]

Answer: I am in highschool and im doing this stuff. If you find out the answer let me know please.

8 0
3 years ago
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