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Anton [14]
2 years ago
12

What is the y-value of the solution to the system of equations shown below

Mathematics
1 answer:
erastovalidia [21]2 years ago
5 0
First you have to get x
5x-21=2x-6
3x=15
x=5

then substitute in any of the equations with x to get the y value:
y=2x-6
y=2(5)-6
y=4

so the answer is choice B

hope this helps !
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Find the x-intercept and
svetlana [45]

9514 1404 393

Answer:

  x-intercept: (16, 0)

  y-intercept: (0, 8)

Step-by-step explanation:

Each intercept is found by setting the other variable to zero and solving for the variable of interest.

I like to find the intercepts from this form because it basically involves dividing the constant by the variable coefficient.

<u>x-intercept</u>

  y = 0, so we have 4x = 64   ⇒   x = 64/4 = 16

  x-intercept is (16, 0)

<u>y-intercept</u>

  x = 0, so we have 8y = 64   ⇒   y = 64/8 = 8

  y-intercept is (0, 8)

_____

<em>Additional comment</em>

There is a form of the linear equation called the "intercept form" that looks like this:

  x/a +y/b = 1

where 'a' is the x-intercept and 'b' is the y-intercept.

You can get this form by dividing the standard form equation by the constant. Here, that gives ...

  4x/64 +8y/64 = 1

  x/16 +y/8 = 1

This is nice because it gives both intercepts with one operation (divide by the constant). It's easy enough to do, but not always easy to explain. This form of the equation of a line is rarely seen.

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2 years ago
Simplify and determine the coefficient of (-2/5x) (5y) (-2x)
slamgirl [31]
The answer is 4 x^2y. <em> I cannot explain to you how I know I'm right. I'm the type of person who HAS to do the work in their head . I am a very experienced person in any Mathematics area. I am NOT saying I'm an expert , but it is one of my strongest subjects . </em>

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64 is a perfect square that provides 8 rows , and each contains 8 seats, this is the first perfect square after 50
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You surveyed 112 students and found out that 14 went to the movies last week-
Cerrena [4.2K]

Answer:

c) 325

Step-by-step explanation:

The fraction of students that went to the movies is 14/112. To find the number of students who went to the movies from a larger group, you have to find a fraction equal to 14/112, whose denominator is 2600 (the number of students from the larger group).

14/112 = x/2600

You can do cross multiplication here. Cross multiplication is multiplying the denominator of one fraction by the numerator of the fraction equivalent to it. That product will be equal to the numerator of the first fraction * denominator of the second fraction.

112*x = 14*2600

x = 325

Approximately 325 students out of 2600 students would've gone to the movie last weekend.

4 0
3 years ago
Find the domain of the function f(x)=<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E3-16x%7D" id="TexFormula1" title="\sqrt{x^3
Anon25 [30]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

f\left(x\right)=\sqrt{x^3-16x}

We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

  • Domain refers to all the possible sets of input values on the x-axis.

Now, determine non-negative values for radicals so that we can sort out the domain values for which the function can be defined.

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as x³ - 16x ≥ 0

\left(x+4\right)\left(x-4\right)\ge \:0

Thus, identifying the intervals:

-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4

Thus,

The domain of the function f(x) is:

x\left(x+4\right)\left(x-4\right)\ge \:0\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4\:\\ \:\mathrm{Interval\:Notation:}&\:\left[-4,\:0\right]\cup \:[4,\:\infty \:)\end{bmatrix}

And the Least Value of the domain is -4.

3 0
2 years ago
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