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zhenek [66]
3 years ago
5

Solve the following system of equations: y = 2x +1 y=-x+ 4x=?y=?​

Mathematics
1 answer:
photoshop1234 [79]3 years ago
5 0

Answer:

x = 1, y = 3

Step-by-step explanation:

Given the 2 equations

y = 2x + 1 → (1)

y = - x + 4 → (2)

Substitute y = 2x + 1 into (2)

2x + 1 = - x + 4 ( add x to both sides )

3x + 1 = 4 ( subtract 1 from both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into (1) and evaluate for y

y = 2(1) + 1 = 2 + 1 = 3

Then solution is x = 1, y = 3

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PWEASE HELP ME, AREA OF A CIRCLE
ludmilkaskok [199]

Answer:

Step-by-step explanation:

A= πr2 = π·72 ≈153.93804

6 0
3 years ago
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Which graph represents the function of f(x) = 9x 2 -36/3x+6 Please help
UkoKoshka [18]
The function is:

             (9x^2 - 36)
f(x) = ---------------------
                3x + 6

You can simplify that function to a linear function for all x for which 3x + 6 ≠ 0

=> x ≠ - 2.

So, for x ≠ - 2, you can do:


             (9x^2 - 36)
f(x) = --------------------- =
               3x + 6

              9(x^2 - 4)
f(x) = ---------------------
                3(x + 2)

             3(x + 2)(x - 2)
f(x) = --------------------- = 3(x - 2) = 3x - 6
                 (x + 2)

So, the graph is a right line that intercepts the y-axis at - 6 and the x-axis at x = 2, excluding x = -2 as the function is not defined for x = -2. That is the second graph of the second picture.


6 0
3 years ago
If x^2=y^2+z^2<br><br> what does x equal?
Zepler [3.9K]

Answer:

\displaystyle x = \sqrt{y^2 + z^2}

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Property

<u>Algebra i</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle x^2 = y^2 + z^2

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Equality Property] Square root both sides:                                                    \displaystyle x = \sqrt{y^2 + z^2}
3 0
3 years ago
For this question, you must solve for x.
Tema [17]

Answer:

22

Step-by-step explanation:

3x = x+44(base angle of isosceles triangle are equal)

2x = 44

x = 22

8 0
3 years ago
A country's population in 1990 was 134 million. In 2000 it was 139 million. Estimate the population in 2014 using the exponentia
Rainbow [258]

Answer

P = 147 million

Step by step explanation

P = Po r^t -------------(1)

Po initial population, r = rate, t = number of years

Here P = 139, Po = 134, t = 10.

Now plug in these values into the formula and find the rate r.

139 = 134r^10

r^10 = 139/134

r = (139/134)^1/10

Now we got r, now plug in the equation (1)

Let's find the population in the year 2014, here t = 24

P = 134 (139/134)^(24/10)

P = 134(139/134)^(2.4)

P = 134*1.1

P = 147.4

P = 147 million

The country's population in 2014 is 147 million (estimation).

Thank you.

7 0
3 years ago
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