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grin007 [14]
3 years ago
15

Write the equation of the quadratic equation function i standard form represented by the graph

Mathematics
1 answer:
san4es73 [151]3 years ago
7 0

Answer:

x^{2} +6x+8=0

Step-by-step explanation:

we know that

The quadratic equation in standard form is equal to

ax^{2} +bx+c=0

In this problem we have

the vertex is equal to the point (-3,-1)

The zeros of the function are the points (-4,0) and (-2,0)

The graph of the figure is a vertical parabola open upward

the equation of a vertical parabola in vertex form is equal to

y=a(x-h)^{2}+k

where (h,k) is the vertex of the parabola

substitute

y=a(x+3)^{2}-1

with the point (-2,0) find the value of a

0=a(-2+3)^{2}-1

0=a(1)^{2}-1

a=1

the equation in vertex form is equal to

y=(x+3)^{2}-1

Convert to standard form

y=x^{2} +6x+9-1

equate to zero

x^{2} +6x+9-1=0

x^{2} +6x+8=0

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ddd [48]

As they vary from month to month, Luis's variable expenses are the utility bill, groceries, clothing and fuel.

Variable expenses is a concept in economics. They are costs that change due to an increase or decrease in the production volume, such as raw material costs.

The variable cost in money is obtained by multiplying, starting from a certain cost, the variable cost in kind by the price of the variable factor. The curves of average variable cost and marginal variable cost are deduced from the curve of variable cost in money according to geometric relationships.

Therefore, as they vary from month to month, Luis's variable expenses are the utility bill, groceries, clothing and fuel.

Learn more about maths in brainly.com/question/21694231

6 0
3 years ago
Write the product using exponents -3/7×3/7×3/7<br>​
zlopas [31]

Answer:

-(\frac{3}{7})^3

Step-by-step explanation:

Since we see that 3/7 is multiplied by itself three times, we can use exponents as a shorter way to write this. The expontent tells us how many times the base number, 3/7, is multiplied by itself.

-1 * (\frac{3}{7})^3= -1 * \frac{3}{7} *  \frac{3}{7} * \frac{3}{7}

We then multiply by -1 to (3/7)^3 to get the exact answer.

-(\frac{3}{7})^3

8 0
3 years ago
Youre amazing!!! could you help me? 50 points!!! Write an expression that can be used to produce vector d from vector c, and exp
andrew-mc [135]

Answer:

Multiply vector c by the scalar -1/2.

Step-by-step explanation:

Look at vector c.

It has an x component of 4 and a y component of 4.

You can write vector c as a sum of its components using unit vectors in the x direction (i) and in the y direction (j).

c = 4i + 4j

Now look at vector d, and write it also as a sum of its x and y components.

d = -2i - 2j

Now ask yourself, what operation do I do to 4 to end up with -2?

One answer is to multiply 4 by -1/2.

d = (-1/2)c = (-1/2)(4i) + (-1/2)(4j) = -2i - 2j

That worked. By multiplying vector c by the scalar -1/2, you end up with vector d.

8 0
3 years ago
Can you Afford to Enlarge this?You each want to have a 3" X 5' picture ofprinted so that you canput it on your dartboard. It cos
Marizza181 [45]

Given:

\text{ Dimension = 3}\times5

Sol:

Area of picture is:

\begin{gathered} =\text{ length}\times\text{ Width} \\  \\ =15 \end{gathered}

If the cost $10 per square inch then price of 15 square inch is:

\begin{gathered} =15\times10 \\  \\ =150 \end{gathered}

If the quadruple of dimension that mean:

\begin{gathered} \text{ l ength = 4 length} \\  \\ Width\text{ = 4 width} \end{gathered}

So area is:

\begin{gathered} A=4\text{ length}\times4\text{ Width} \\  \\ A=4(15) \\  \\ A=60 \end{gathered}

So price is:

\begin{gathered} =60\times10 \\  \\ =600 \end{gathered}

3 0
1 year ago
PLEASE HELP! Limited time
Natali [406]

The answer is <em>x=17.</em> Since it says that the plot point is the answer to square root 4.1^2 = 16.81 which is closest to 17.

Hope this helps and hope you have a great day and brainiest is always appreciated

7 0
3 years ago
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