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Arte-miy333 [17]
3 years ago
12

36 points PLZ HELP Solve for x in terms of y if\[4x + 2y = 7.\]

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
7 0

Answer:

x = -\frac{1}{2}y + \frac{7}{4}

Step-by-step explanation:

First, isolate x by subtracting 2y from both sides:

4x + 2y = 7

4x = -2y + 7

Then, divide each side by 4:

x = -\frac{1}{2}y + \frac{7}{4} is x in terms of y

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I need to know how to solve this (Pythagorean theorem) and the answer
Neko [114]

Answer:

≈ 106.4

Step-by-step explanation:

Pythagorean Therorem: a^{2}  + b^{2} = c^{2}  

Equation: 28^{2} + b^{2} = 110^{2}

784 + b^{2} = 12100

-784           -784

b^{2} = 11316

\sqrt{b^{2} } = \sqrt{11316}

= 106.3766892

Round to nearest tenth:

≈ 106.4

Hope I helped :)

6 0
4 years ago
Read 2 more answers
If 2x+9=j(x),find x if j(x)=12
kumpel [21]

Answer:

x = 1.5

Step-by-step explanation:

We need a value of x that would result in 2x+9 = 12

2x+9 = 12

2x = 12 - 9

2x = 3

x = 3/2 or 1.5

====

CHECK

Does 2x+9 = 12 when x = 1.5?

2x+9 = 12

2(1.5)+9 = 12

3 + 9 = 12 YES

4 0
2 years ago
Find the slope of the line represented by the data on the picture
arsen [322]

Answer:

slope = - 4

Step-by-step explanation:

Calculate the slope m using the slope formula and any 2 ordered pairs from the table.

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 8) and (x₂, y₂ ) = (- 1, 4) ← 2 points from the table

m = \frac{4-8}{-1+2} = \frac{-4}{1} = - 4

4 0
3 years ago
What is the prime factorization of 440?
lawyer [7]

Answer:

I would say the correct answer is 2^3 • 5 • 11

Step-by-step explanation:

To find the prime factors, you start by dividing the number by the first prime number, which is 2. If there is not a remainder, meaning you can divide evenly, then 2 is a factor of the number. Continue dividing by 2 until you cannot divide evenly anymore. Write down how many 2's you were able to divide by evenly. Now try dividing by the next prime factor, which is 3. The goal is to get to a quotient of 1.Here are the first several prime factors: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...

<u>Let's start by dividing 440 by 2 </u>

440 ÷ 2 = 220 -  No remainder! 2 is one of the factors!

220 ÷ 2 = 110 -  No remainder! 2 is one of the factors!

110 ÷ 2 = 55 - No remainder! 2 is one of the factors!

55 ÷ 2 = 27.5 - There is a remainder. We can't divide by 2 even anymore. Let's try the next prime number

55 ÷ 3 = 18.3333 - This has a remainder. 3 is not a factor.

55 ÷ 5 = 11 - No remainder! 5 is one of the factors!

11 ÷ 5 = 2.2 -There is a remainder. We can't divide by 5 evenly anymore. Let's try the next prime number

11 ÷ 7 = 1.5714 - This has a remainder. 7 is not a factor.

11 ÷ 11 = 1 - No remainder! 11 is one of the factors!

If we put all of it together we have the factors 2 x 2 x 2 x 5 x 11 = 440. It can also be written in exponential form as 2^3 x 5^1 x 11^1.

here is also the factor tree method : -

7 0
3 years ago
for the function f(x) = –(x 1)2 4, identify the vertex, domain, and range. the vertex is (–1, 4), the domain is all real numbers
stira [4]
F(x) = -(x + 1)^2 + 4
Vertex = (-1, 4)
Domain is all real numbers.
Range is f(x) <= 4
8 0
3 years ago
Read 2 more answers
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