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ozzi
3 years ago
11

PLEASE PLEASE HELP ME!!!!! Please show your work.

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
6 0

Answer:

Seth's solution is not correct. The x-coordinates are correct, but the y-coordinates are not. The graphs intersect at (-2, -7) and (3, 13).

Step-by-step explanation:

By equating the expressions for y and solving the resulting quadratic, Seth correctly found the x-coordinates of the points of intersection. He needs to compute the corresponding y-coordinates using one or the other of the original equations.

For x=-2,

y = 4·(-2) +1 = -7

For x=3,

y = 4·3 +1 = 13

The points of intersection are (-2, -7) and (3, 13).

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I need help please, i dont understand
jenyasd209 [6]

9514 1404 393

Answer:

  (a)  none of the above

Step-by-step explanation:

The largest exponent in the function shown is 2. That makes it a 2nd-degree function, also called a quadratic function. The graph of such a function is a parabola -- a U-shaped curve.

The coefficient of the highest-degree term is the "leading coefficient." In this case, that is the coefficient of the x² term, which is 1. When the leading coefficient of an even-degree function is positive, the U curve has its open end at the top of the graph. We say it "opens upward." (When the leading coefficient is negative, the curve opens downward.)

This means the bottom of the U is the minimum value the function has. For a quadratic in the form ax²+bx+c, the horizontal location of the minimum on the graph is at x=-b/(2a). This extreme point on the curve is called the "vertex."

This function has a=1, b=1, and c=3. The minimum of the function is where ...

  x = -b/(2·a) = -1/(2·1) = -1/2

This value is not listed among the answer choices, so the correct choice for this function is ...

  none of the above

__

The attached graph of the function confirms that the minimum is located at x=-1/2

_____

<em>Additional comment</em>

When you're studying quadratic functions, there are few formulas that you might want to keep handy. The formula for the location of the vertex is one of them.

8 0
2 years ago
Help please! im not sure which graph is which
Wewaii [24]

WHat do you mean when you say you don't know "which graph is which"

8 0
3 years ago
Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π
lorasvet [3.4K]

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The <em>instantaneous</em> rate of change at a given value of x can be found by concept of derivative, which is described below:

g(x) =  \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}

Where h is the <em>difference</em> rate.

In this question we must find an expression for the <em>instantaneous</em> rate of change of g if f(x) = \sin x and evaluate the resulting expression for x = \frac{\pi}{3}. Then, we have the following procedure below:

g(x) =  \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin h}{h}\cdot  \lim_{h \to 0} \cos x

g(x) = \cos x

Now we evaluate g(x) for x = \frac{\pi}{3}:

g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>. \blacksquare

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

4 0
2 years ago
100 POINTS I NEED HELP ASAP <br><br> If h(x) = |2x-4| , find (h-7)
nikitadnepr [17]

Answer:

The answer is 18.

Step-by-step explanation:

You just need to plug in -7 to the equation 2x-4. You get -18, but absolute value is always positive, so its 18.

7 0
2 years ago
Read 2 more answers
The perimeter of the dodecagon is 54 cm. by joining every other vertex of the dodecagon a hexagon is formed. if each side of the
lawyer [7]

Answer:

x = 8.69

Step-by-step explanation:

we know that the perimeter of the dodecagon is 54, so each edge will be 54/12

54/12 = 4.5 cm

if we draw the lines to remove 6 vertices and form a hexagon, 6 triangles with 2 sides of 4.5 cm are formed.

we know that the angle of each vertex is 150 ° because it is a dodecagon

if we apply the law of cosines we can take the other side of the triangle, since we only need 2 side and the opposite angle to the side we want to know

a would be our x

b = 4.5

c = 4.5

A = 150°

a^2 = b^2 + c^2 - 2bc * cos (A)

x^2 = 4.5^2 + 4.5^2 - 2 * 4.5 * 4.5 * cos (150)

x^2 = 20.25 + 20.25 - 40.50 * -0.866

x^2 = 40.50 + 35.07

x = √ 75.57

x = 8.69

4 0
2 years ago
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