All categories

2 years ago

Will the border line of the graph of y < - x2 + 4x + 5 be a solid line or a broken

Mathematics

1 answer:

Free_Kalibri [48]2 years ago

7 0

Step-by-step explanation:

When the inequality uses < or >, it is a broken line.

For the point (0, 0) it means that x = 0 and y = 0.

Since (0) < (0)² + 4(0) + 5 is true, the point is part of the solution.

You might be interested in

Find the minimum value if f(x) = xe^x over [-2,0]

SashulF [63]

Given function:

$f(x)=xe^x$

The minimum value of the function can be found by setting the first derivative of the function to zero.

$f^{\prime}(x)=xe^x+e^x$ $\begin{gathered} xe^x+e^x\text{ = 0} \\ e^x(x\text{ + 1) = 0} \end{gathered}$

Solving for x:

$\begin{gathered} x\text{ + 1 = 0} \\ x\text{ = -1} \end{gathered}$ $\begin{gathered} e^x\text{ = 0} \\ \text{Does not exist} \end{gathered}$

Substituting the value of x into the original function:

$\begin{gathered} f(x=1)=-1\times e^{^{-1}}_{} \\ =\text{ -}0.368 \end{gathered}$

Hence, the minimum value in the given range is (-1, -0.368)

6 0

1 year ago

I WILL GIVE BRAINLIEST! Parallelogram WXYZ has vertices W(-5, 3), X(-2, 0), Y(-4, -2), and Z(-7, 1), as shown in the graph below

Blizzard [7]

Answer:

Step-by-step explanation:

3 0

3 years ago

Find the areas of the trapezoids

Sholpan [36]

Answer:

12 units²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = $\frac{1}{2}$ h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 4 ( perpendicular distance between the bases ) and

b₁ = SR = 2, b₂ = TA = 4 , then

A = $\frac{1}{2}$ × 4 × (2 + 4) = 2 × 6 = 12 units²

5 0

3 years ago

Find the distance between the two points! <br> PLEASE DO THIS ASAP!!<br> no links

Tems11 [23]

Answer:

Step-by-step explanation:

The distance is given by sqrt((-3-0)^2+(-3-1)^2)=sqrt(9+16)=5

5 0

3 years ago

Read 2 more answers

How do you do this what is the answer?

nlexa [21]

Answer:

Step-by-step explanation:

5 0

3 years ago