MATHEMATICS MIDDLE SCHOOL

Solve the following:y = x + 3
4x + y = 18

(6, 3)

(3, 6)

(−3, 6)

(3, −6)

Answers

Answer 1

Answer:

(3,6)

Step-by-step explanation:

We can substitute y for x+3 in the second equation

4x + x + 3 = 18

5x = 15

x=3

Plug x back into the equation

y = 3 + 3

y = 6

Answer 2

Answer:

Answer:

B (3 ; 6)

Step-by-step explanation:

y = x + 3

4x + y = 18

4x + (x + 3) = 18

5x = 18 - 3

5x = 15

x = 3

y = x + 3

y = 3 + 3

y = 6

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A student thinks the sum of 4.3 and 8.4 is 12.7 because 4+8 is 12 and 3+4 is 7. The student then adds 3.7 and 2.6, then gets 5.13 because 3+2 is 5 and 6+7 is 13. Identify the mistake in the student's procedure and explain why the procedure won't always work.

Answers

The mistake is that when adding decimals, if the number is greater than 10 then you add one to the ones place and subtract ten from the decimal. So the answer should have been 6.3

200 songs, 24 are country. what percentage are country songs?

Answers

24/200=0.12 or 12% are country songs

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

Which statement about the ordered pairs (−9, 3)
(−9, 3)
and
(2, −4)
(2, −4)
is true for the equation
6x−
y
2

=14
6x−y2=14
?

(−9, 3)
(−9, 3)
is a solution to the equation.

(2, −4)
(2, −4)
is a solution to the equation.

Both ordered pairs are solutions.

Neither ordered pair is a solution.

Answers

Neither ordered pairs are a solution

The 100% correct answer is:

2,-4 is a solution to the equation

Malinda's family had walked 4/6 of a hiking trail. Owens family has walked 5/8 of another trail. Which family has walked farther? Explain your answer.

Answers

To answer this, we need to convert to the least common multiple.

The least common multiple of 2/3 and 5/8 is 24.

2 x 8 = 16 / 24

5 x 3 = 15 / 24

Malinda's family walked farther than Owen's family.

write the following as an algebraic expression then simplify the sum of two consecutive even integers of the first integer is x

Answers

If the first of two consecutive even integers is x, then the second is two more than that, or x+2. Their sum is
x + (x+2)
In simplified form this is
2x+2

Final answer:

The algebraic expression for the sum of two consecutive even integers, where the first integer is x, is x+(x+2). This simplifies to 2x+2.

Explanation:

To express the sum of two consecutive even integers algebraically, where the first integer is x, it's important to understand that consecutive even integers increase by 2. Therefore, if x is your first even integer, the next consecutive even integer would be x+2.

To find their sum, you would simply add the two together, as follows: x+(x+2).

To simplify, combine like terms. The two 'x' terms add together to make '2x', and you're left with the '+2'. So, the simplified expression for the sum of two consecutive even integers where the first is x is 2x+2.