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2 years ago

1.

Mathematics

1 answer:

Mashcka [7]2 years ago

4 0

Answer:

y=-32+126

Step-by-step explanation:

So the equation you've given me is: y=-32x+1 which is already in slope intercept form.

The slope remains the same so let's look at the y-intercept (b) which is not going to come into solving it.

Plug in the points into the equation to become: -2=-32(4)+b

Solve the equation to get 126=b

Plug it into your new equation: y=-32x+126

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algol [13]

Answer:

5= b 6=d

Step-by-step explanation:

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3 years ago

Read 2 more answers

Round each number to the nearest ten. 283

arsen [322]

283 rounded to the nearest ten is 280
When rounding to the nearest ten look at the number to the right of the place you are rounding. In this case it is the 3. If the number is 5 or higher you go up to the nearest ten. If the number is lower than 5 like it is in this number you round down to the nearest ten.

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3 years ago

How do I solve the system of equations {Y=x^2+2x} {Y=-x-2}

Minchanka [31]

Graph it on the Ti-84 and use the trace function to find the intersection.

The answer is

(-3,3)

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3 years ago

At what point on the paraboloid y = x2 + z2 is the tangent plane parallel to the plane 3x + 2y + 7z = 2? (if an answer does not

Nikitich [7]

If $f(x, y, z) = c$ represent a family of surfaces for different values of the constant $c$ . The gradient of the function $f$ defined as $\nabla f$ is a vector normal to the surface $f(x, y, z) = c$ .

Given the paraboloid

$y = x^2 + z^2$ .

We can rewrite it as a scalar value function f as follows:

$f(x,y,z)=x^2-y+z^2=0$

The normal to the paraboloid at any point is given by:

$\nabla f= i\frac{\partial}{\partial x}(x^2-y+z^2) - j\frac{\partial}{\partial y}(x^2-y+z^2) + k\frac{\partial}{\partial z}(x^2-y+z^2) \\ \\ =2xi-j+2zk$

Also, the normal to the given plane $3x + 2y + 7z = 2$ is given by:

$3i+2j+7k$

Equating the two normal vectors, we have:

$2x=3\Rightarrow x= \frac{3}{2} \\ \\ -1=2 \\ \\ 2z=7\Rightarrow z= \frac{7}{2}$

Since, -1 = 2 is not possible, therefore there exist no such point on the paraboloid $y = x^2 + z^2$ such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2.

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3 years ago

Given the three points (0,3), (4,15), (5,33), determine the equation of the parabola they represent. State the direction the par

Nonamiya [84]

Answer:

D)The equation is f(x)=3x^2−9x+3, and the parabola opens upward.

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3 years ago