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3 years ago

Please I need help Question: What are the solutions to this graph?

Mathematics

1 answer:

I am Lyosha [343]3 years ago

5 0

Answer:

The solution to the graph are x = -2 and x = 2

Step-by-step explanation:

Here, we want to get the solution to the graph

As we can see, the graph is parabolic; which is a property of a quadratic polynomial

The solution refers to the value at which the graph plot crosses the x-axis

In other words, the solutions to the graph are represented by the point at which we have the graph crossing over the x-axis

We can see this happen at two points

These are the points x = -2 and x = 2

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What is the length of CD? In this diagram, ABC ~ EDC.

Alex777 [14]

Hey there!

Answer:

CD = 3.

Step-by-step explanation:

Since the triangles are similar, we can set up a ratio to determine the other side-lengths:

$\frac{12-x}{18} =\frac{x}{6}$

Cross multiply:

$6(12-x) = 18x$

Distribute the '6':

$72-6x = 18x$

Combine like terms and simplify:

$72 = 24x$

$x = 3$

Therefore, the length of CD is 3.

5 0

3 years ago

Identify the quadratic function from the four functions

Alchen [17]

Quadratic Function is a function that takes the equation form of:

$\large \boxed{y = a {x}^{2} + bx + c}$

where a ≠ 0. However the form of Quadratic Function above can also be called "standard form" or general form because it is commonly used when defining the function. Quadratic Functions also have other two forms which are intercept form and vertex form.

Vertex Form

$\large \boxed{y = a {(x - h)}^{2} + k}$

Intercept Form

$\large \boxed{y = (ax - b)(bx - c)}$

The intercept form can be expressed as y = (x-a)(x-b) depending on the other perspective.

If you look at all four functions, you will notice that only two of functions have the second degree as highest degree while the third function has third degree as highest and fourth function has fourth degree. Recall the definition of Quadratic Function above that the highest degree of Quadratic Function can only be second degree (squared, x² as example). Therefore we can rule out the x³ and -2x⁴ away.

So our only quadratic functions are:

$\large{ \begin{cases}y = - {x}^{2} - 4 \\ y = {(x - 1)}^{2} - 7 \end{cases}}$

As for the f(x) = -x²-4. The equation is in standard form which is y = ax²+bx+c. The second equation is in vertex form which is y = a(x-h)²+k.

Answer

The only quadratic functions are f(x) = -x²-4 and f(x) = (x-1)²-7
-x²-4 is in standard form.
(x-1)²-7 is in vertex form.

Hope this helps and let me know if you have any doubts.

Also let me know if you want me to convert the function into other form. For ex. convert the vertex form to standard form.

Happy Learning and Good Luck with your assignment!

4 0

3 years ago

A baker bakes 50 muffins. 1/5 of the muffins are chocolate chip. 1/2 of the muffins are blueberry. The rest are cinnamon. How ma

vitfil [10]

Answer:

15 muffins are cinnamon.

Step-by-step explanation:

Given that:

Number of muffins baked = 50 muffins

Chocolate chip muffins = 1/5 of 50 = $\frac{1}{5}*50$

Chocolate chip muffins = 10 muffins

Blueberry muffins = 1/2 of 50 = $\frac{1}{2}*50$

Blueberry muffins = 25

Cinnamon muffins = Muffins baked - chocolate chip muffins - blueberry muffins

Cinnamon muffins = 50 - 10 - 25

Cinnamon muffins = 50 - 35 = 15

Hence,

15 muffins are cinnamon.

5 0

3 years ago

Write the equation of a line in the given form.

Gnom [1K]

Answer:

$y = \frac{1}{4}x - 5$

Step-by-step explanation:

Slope intercept form: y = mx + b

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

= (-5 - (-4)) / (0 - 4)

= -1 / -4

= 1/4

Find y intercept using anyone of the given points and slope from above:

y = mx + b

$-5 = \frac{1}{4}(0) + b$

b = -5

Now use the above slope and y intercept to create equation of a line:

$y = \frac{1}{4}x - 5$

3 0

3 years ago

What is the coefficient in the expression 7x+14

Lady_Fox [76]

Answer:

Step-by-step explanation:

The coefficient is the number that comes before the variable

7x+14

In this case, the variable is x.

The number that comes before x is 7, so 7 is the coefficient.

Hope this helps! :)

8 0

3 years ago

Read 2 more answers