How can you generate 6x + y − 8 from the expression 4x + (2x + y) − 8

Answers

Answer 1

Answer: Have a nice days...............

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You plant a tree that is 36 inches tall. After one year, the tree is 43 inches tall. Which expression describes the percent of increase in the tree's height?
A total of 562 tickets were sold for the school play. They were either adult tickets or students tickets. There were 62 more student tickets sold than adult tick. how many adult tickets were sold ?

If one of the legs of a right triangle is 4 in and the hypotenuse is 8 in, find the length of the other leg (use a calculator if necessary). Can you guess the measures of the acute angles?The answer should be formatted like this:

The length of the other leg is __ in
The measures of the acute angles are : __ and __

Answers

General Idea:

By using the Pythagorean theorem which states that in a right triangle the sum of square of two legs is equal to the square of hypotenuse. We can find the length of the third side.

Given:

$a= 4 \; in\n\nc=8\; in\n\na^2+b^2=c^2\n\n4^2+b^2=8^2\n16+b^2=64\nSubtracting \; 16 \; on \; both \; sides\n\nb^2=64-16\nb^2=48\nTake \; square \; root \; on \; both \; sides\n\nb= √(48) = √(16 * 3) = √(16) * √(3) = 4 √(3) inches$

We can see shortest side a is 4 inches, hypotenuse is c is 8 inches and middle side is 4√3. This is quality of a special triangle. The smallest side (a) is opposite the smallest angle (30°), the middle side (b) is opposite the angle (60°) and the longest side (c) is opposite the largest angle (90°).

The triangle 30°-60° - 90° triangle will be of the ratio 1:√3:2.

Conclusion:

The length of the other leg is 4√3 in

The measures of the acute angles are : 30° and 60°

The length of the other leg is 6.9 inches.The measure of each acute angle is 45 degrees.

(2x^3+4x^2-3)+(6x^3+4x-4)

Answers

Answer: everything is explained in the picture

Step-by-step explanation:

Answer:

8x^3 + 4x^2 + 4x -7

Step-by-step explanation:

Add like terms.

A store clerk has 45 shirts to pack in boxes each box holds 6 shirts what is the fewest boxes the clerk will need to pack all the shirts

Answers

The store clerk will need to pack 8 boxes. This is because you have to divide 45 by 6 and you 7.5, but you can not split the box in half, so you need to round up since you have to pack all the shirts and you get 8.

Erika has 3 pieces of ribbon. each piece is 25 yards long she needs to cut pieces that are 22 inches long . What is the greatest number of 22-inch pieces that she can cut from the three ribbons ?

Answers

so 1 yard=3 feet
1 feet=12 inches
1 yard=3 times 12 inches=36 inches

she has 3 pieces of ribbon each is 25 yards long

total inches=3 times 25 times 36=2700

how many 22's are in 2700
divide
2700/22 and round down
122.7
you can't have 0.7 of a 22 inch piece so round down to 122

the nasewr is 122 pieces

500 g equals ------- kg ?

Answers

0.5kg because 1kg is equal to 1000g

0.5 kilograms, :) is the correct answer .

If f (x) = 3 x squared and g (x) = 4 x cubed + 1, what is the degree of (f circle g) (x)?If f (x) = 3 x squared and g (x) = 4 x cubed + 1, what is the degree of (f circle g) (x)?options are
2
3
5
6

Answers

Answer:

degree = 6

Step-by-step explanation:

Given $f(x)=3x^2$ , and $g(x)=4^3+1$ , we can find the composition of functions: $fog(x)$ by applying the definition of composition and performing the needed algebra.

Recall that the composition of functions is defined as: $fog(x)=f(g(x))$ , where we use as input for the function f(x) the actual expression in terms of "x" of the function g(x):

$f(g(x))=f(4x^3+1)\nf(g(x))=3(4x^3+1)^2\nf(g(x))=3\,(4x^3+1)\,(4x^3+1)\nf(g(x))=3\,[16x^6+4x^3+4x^3+1]\nf(g(x))=3\,[16x^6+8x^3+1]\nf(g(x))=48x^6+24x^3+3$

Therefore, the degree of this expression is "6" (the highest power at which the variable "x" appears)

Answer:

the answer is 6

Step-by-step explanation:

don't have one

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