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3 years ago

If x+y=14 and 2x-y=16 then x=?

Mathematics

1 answer:

qwelly [4]3 years ago

3 0

Answer:

Step-by-step explanation:

if we combine them then

x+y+2x-y=16+14

3x=30

x=10

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What IS 20% of 36.04

Zigmanuir [339]

Answer:

$7.20

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The graph below represents the function f.

OLEGan [10]

Answer: А.

The function f intersects the x-axis at two points, and the function g never intersects the x-axis.

Step-by-step explanation:

In the graph we can see f(x), first let's do some analysis of the graph.

First, f(x) is a quadratic equation: f(x) = a*x^2 + b*x + c.

The arms of the graph go up, so the leading coefficient of f(x) is positive.

The vertex of f(x) is near (-0.5, -2)

The roots are at x = -2 and x = 1. (intersects the x-axis at two points)

Now, we know that:

g(x) has a positive leading coefficient, and a vertex at (0, 3)

As the leading coefficient is positive, the arms go up, and the minimum value will be the value at the vertex, so the minimum value of g(x) is 3, when x = 0.

As the minimum value of y is 3, we can see that the graph never goes to the negative y-axis, so it never intersects the x-axis.

so:

f(x) intersects the x-axis at two points

g(x) does not intersect the x-axis.

The correct option is A.

6 0

3 years ago

Please help please please

kap26 [50]

A. equation: p=$10.75h
variables=p(profit) h(hours)
B. use this equation and plug in 37 for h then solve.
hope this helps

8 0

3 years ago

The standard form of the equation of a circle is (x−5)2+(y−6)2=1.

Crank

Answer:

(A) $x^2+y^2-10x-12y+60=0$

Step-by-step explanation:

The standard form of the equation of a circle is given as:

$(x-5)^2+(y-6)^2=1$

Simplifying the above given equation, we get

$x^2+25-10x+y^2+36-12y=1$

$x^2+y^2-10x-12y+36+25=1$

$x^2+y^2-10x-12y+61=1$

$x^2+y^2-10x-12y+60=0$

which is the required general form of the equation.

Hence, option A is correct.

3 0

4 years ago

Write the equation of the line in fully simplified slope-intercept form.

fiasKO [112]

$y = -\frac{1}{2}x - 1$

Step-by-step explanation:

Let's pick two points on the line: $P_1(-4, 1)$ and $P_2(2, -2).$ Let's calculate the slope of this line using these points:

$m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-2 - 1}{2 - (-4)} = -\dfrac{1}{2}$

With this value of the slope, we can write the general slope-intercept form of the equation as

$y = -\frac{1}{2}x + b$

To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:

$-2 = -\frac{1}{2}(2) + b \Rightarrow b = -1$

Therefore, the slope-intercept form of the equation is

$y = -\frac{1}{2}x - 1$

6 0

2 years ago