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Ierofanga
2 months ago
13

On a coordinate plane, a curved line with a minimum value of (0.8, negative 11.4) and maximum values of (negative 1.6, 56) and (

2, 0), crosses the x-axis at (negative 2.5, 0), (0, 0), and (2, 0), and crosses the y-axis at (0, 0). What is the local maximum over the interval [–3, 1.5] for the graphed function? 0 56 –11.4 2
Mathematics
1 answer:
Leona [12.6K]2 months ago
7 1

Answer:

2,4

I completed it and got it correct

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Which is true regarding the graphed function f(x)?
AnnZ [12381]

Explanation:

Hello! Please remember to formulate complete questions to receive accurate answers. I will assume that the depicted function derives from:

f(x)=\left(x-4\right)^{2}+5

This describes the equation of a parabola that opens upwards, with its vertex positioned at:

V(4,5)

The graph below illustrates this function. What is true about the graphed function f(x)?

  • It is accurate that the domain consists of all real numbers, as this is a polynomial function.

  • It is also correct that the range includes all real numbers where y ≥ 5

  • It is indeed true that this parabola opens upwards

  • It is valid to say it does not intersect the x-axis

6 0
1 month ago
3. At a local restaurant, the health inspector visits every 7 days, and the fire inspector visits every 12 days. (a) Make a tabl
Leona [12618]
Health inspector visits once a week.
Fire inspector comes every 12 days.

a) health inspector fire inspector.
day 7.                    day 12.   
day 14.                    day 24.
day 21.                    day 36.
day 28.                    day 48.
day 35.                    day 60.

b) 12 x 7 = 84.

Both will coincide on day 84.




6 0
2 months ago
Read 2 more answers
What is a3 in an arithmetic sequence in which a10=41 and a15=61
zzz [12365]
\bf \begin{array}{llll}
term&value\\
-----&-----\\
a_{10}&41\\
a_{11}&41+d\\
a_{12}&(41+d)+d\\
&41+2d\\
a_{13}&(41+2d)+d\\
&41+3d\\
a_{14}&(41+3d)+d\\
&41+4d\\
a_{15}&(41+4d)+d\\
&41+5d=61
\end{array}
\\\\\\
41+5d=61\implies 5d=20\implies d=\cfrac{20}{5}\implies \boxed{d=4}\\\\
-------------------------------\\\\

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=4\\
n=10\\
a_{10}=41
\end{cases}
\\\\\\
41=a_1+(10-1)4\implies 41=a_1+36\implies \boxed{5=a_1}

therefore

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=4\\
n=3\\
a_{1}=5
\end{cases}
\\\\\\
a_3=a_1+(3-1)4\implies a_3=5+(3-1)4

and you are probably aware of the amount.
8 0
1 month ago
Read 2 more answers
As a smart consumer, you are always on the lookout for sales, coupons, and rebates. While shopping for new clothes, you notice t
Inessa [12570]

Answer:

You need to purchase 3 shirts to be able to use your coupon.

Step-by-step explanation:

Each shirt originally costs $17.99.

There is a 20% discount on this specific brand of shirts.

$17.99 × 0.2 = $3.60 (discount per shirt)

Subtracting the discount from the original price:

$17.99 - $3.60 = $14.39 (price per shirt after discount)

To qualify for the $10 off coupon which requires a $40 minimum purchase:

$40 ÷ $14.39 ≈ 2.779, rounded up to 3 shirts

Therefore, you must buy 3 shirts.

3 shirts × $14.39 = $43.17, surpassing the $40 minimum needed to apply the $10 discount.

7 0
3 months ago
The tiles that Bruce used were each of a square foot in the area. The table shows the area covered by Felicia’s tiles in terms o
zzz [12365]

Response:

Step-by-step explanation:

We need to form an equation that illustrates the area that Felicia has covered, denoted as y, in relation to the number of tiles she utilized, represented by x.

Let x= Number of tiles

y=Area occupied by Felicia's tiles

x_1=9, x_2=18, x_3=27

y_1=1, y_2=2,y_3=3

\frac{x_1}{y_1}=\frac{9}{1}=9

\frac{x_2}{y_2}=\frac{18}{2}=9

\frac{x_3}{y_3}=\frac{27}{3}=9

The relationship between x and y is constant. Hence, it follows a direct proportion.

The equation for direct proportion is shown as

\frac{x}{y}=k

Where

k=The value of the ratio of x and y

x and y are variable factors

Here, we have k=9

Substituting the known values into the equation

leads us to

\frac{x}{y}=9

x=9y

y=\frac{1}{9}x

This represents the necessary equation depicting the area Felicia covered, y, in terms of the number of tiles utilized, x.

6 0
1 month ago
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