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AURORKA [14]
2 years ago
7

The graph of a quadratic function

Mathematics
1 answer:
DaniilM [7]2 years ago
6 0

Answer:

A

The leading coefficient is negative.

Step-by-step explanation:

Quadratic equation:

A quadratic equation has the following format:

y = ax^2 + bx + c

The leading coefficient is a.

a negative:

The graph of the function is concave down, that is, it displays values that approach  negative infinity.

a positive:

The graph of the function is concave up, that is, it displays values that approach  up infinity.

In this question:

Displays values that approach  negative infinity, so the leading coefficient is negative, and the correct answer is given by option A.

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Convert -3x + 2y = 10 into slope-intercept form.
GrogVix [38]
Y=3/2x+5 is the answer
4 0
3 years ago
Read 2 more answers
Applying Rate of change
olga nikolaevna [1]
\bf \begin{array}{ccllll}
minutes(x)&Mbs\ left(y)\\
-----&-----\\
2&38.4\\
8&9.6
\end{array}\\\\
-----------------------------\\\\
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\impliedby \textit{rate of change}
\\\\\\
m=\cfrac{9.6-38.4}{8-2}\implies m=-\cfrac{24}{5}\iff m= -4.8

now, notice, the rate of change for downloading is negative, because, "y" is decreasing,  namely the Mbs to be downloaded, are less and less and less as the minutes go by, because the file is almost fully downloaded

so is -4.8

now... at 8minutes, there are 9.6Mbs to download
bear in mind that 9.6 is just 4.8 * 2
that simply means, another minute, another 4.8 Mbs, and another minute and another 4.8 Mbs and the file is done

so, the file downloaded really in 10minutes

now, we know the rate is -4.8 or -24/5,   let us nevermind the sign for now

since we know the file is downloading at 24Mbs in 5minutes, a rate of 24/5

how much is it for 10 minutes?   well 10 is really just 5 * 2

so if it downloads at a rate of 24Mbs per 5mins, in 10 minutes it downloaded 24*2 or 48Mbs
7 0
3 years ago
A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 70 square feet. Find the
Vedmedyk [2.9K]

Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

<u><em>Step(ii):-</em></u>

Area of the rectangle = length × width

                                  = x ( x-3)

Given that the area of the rectangle = 70 square feet

                       x ( x-3) = 70

              ⇒   x² - 3x - 70 =0

              ⇒  x² - 10 x + 7 x - 70 =0

             ⇒  x (x -10) +7( x-10) =0

            ⇒ ( x+7) ( x-10) = 0

           ⇒  x =-7 and x=10

<u><em>Final answer:</em></u>-

we choose x=10

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

8 0
3 years ago
Please help or i am grounded
Dahasolnce [82]

Answer:

x=140

Step-by-step explanation:

Do not get grounded.

An angle at a point is 360°.

So, x+120+70+30=360

x+220=360

x=140

3 0
3 years ago
Jennifer has 3 brothers. Mark is older than Jennifer, but he is not the oldest.
Elza [17]
Jennifer I would say
8 0
3 years ago
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