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3 years ago

What would the graph look like for ^

Mathematics

1 answer:

Jet001 [13]3 years ago

3 0

Answer: The correct option is the first one.

Step-by-step explanation:

Let's define how to interpret each symbol:

x < a (x is strictly smaller than a, we graph this with an open circle at a, and an arrow to the left of a)

x > a (x is strictly larger than a, we graph this with an open circle at a, and an arrow to the right of a)

x ≥ a (x is larger than or equal to a, we graph this with a closed circle at a, and an arrow to the right of a)

x ≤ a (x is smaller than or equal to a, we graph this with a closed circle at a, and an arrow to the left of a)

In this case, we have the inequality:

x ≤ 15

Then to graph this we need a closed circle at 15, and an arrow to the left. The correct option is the first one.

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Which two transformations are applied to pentagon ABCDE to create A'B'C'D'E'?

vekshin1

The answer is C. I need a total of 20 characters so heres a smiley face:)

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3 years ago

Which represents the solution(s) of the graphed system of equations, y = –x2 + x + 2 and y = –x + 3?

cupoosta [38]

For this case we have the following system of equations:

$y = -x ^ 2 + x + 2\\y = -x + 3$

We observe that we have a quadratic equation and therefore the function is a parabola.

We have a linear equation.

Therefore, the solution to the system of equations will be the points of intersection of both functions.

When graphing both functions we have that the solution is given by:

$x = 1\\y = 2$

That is, the line cuts the quadratic function in the following ordered pair:

(x, y) = (1, 2)

Answer:

the solution (s) of the graphed system of equations are:

(x, y) = (1, 2)

See attached image.

3 0

3 years ago

Read 2 more answers

HELP- PLS SOMEONE HELP ME SOB

BlackZzzverrR [31]

Answer:

150 degrees

Step-by-step explanation:

Use the equation below to find the sum of all the interior angles in this polygon:

(number of sides - 2)*180

number of sides = 6

(6-2)*(180) = 4*(180) = 720

Now that you know the total sum, subtract all other angles to find x:

720 - 90 - 162 - 101 - 96 - 121 = 150

5 0

2 years ago

Find the equation of the linear function represented by the table below in slope intercept form.

Ulleksa [173]

Step-by-step explanation:

let equation be y = mx + b.

m = (9-5)/(3-1) = 2

sub (1, 5):

5 = 2(1) + b

b = 3

therefore the equation: y = 2x + 3

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

8 0

2 years ago

The concentration of dichlorodiphenyltrichloroethane (DDT - an infamous pesticide) in Lake Michigan has been declining exponenti

mojhsa [17]

Answer: A) $y=13e^{-0.1359t}$

B) H = 5.10

C) Yes

Step-by-step explanation: Exponential Decay function is a model that describes the reducing of an amount by a constant rate over time. Generally, it is written in the form: $y(t)=Ce^{rt}$

A) C is initial quantity, in this case, the initial concentration of DDT. To determine r, using the data given:

$y(t)=Ce^{rt}$

$2.22=13e^{13r}$

$e^{13r}=0.1708$

Using a natural logarithm property called power rule:

$13r=ln(0.1708)$

$r=\frac{ln(0.1708)}{13}$

$r=-0.1359$

The decay function for concentration of DDT through the years is $y(t)=13e^{-0.1359t}$

B) The value of H is calculated by $y=C(0.5)^{\frac{t}{H} }$

$2.22=13(0.5)^{\frac{13}{H} }$

$(0.5)^{\frac{13}{H} }=0.1708$

Again, using power rule for logarithm:

$\frac{13}{H} log(0.5)=log(0.1708)$

$\frac{13}{H} =\frac{log(0.1708)}{log(0.5)}$

$\frac{13}{H} =2.55$

H = 5.10

Constant H in the half-life formula is H=5.10

C) Using model $y(t)=13e^{-0.1359t}$ to determine concentration of DDT in 1995:

$y(24)=13e^{-0.1359.24}$

y(24) = 0.5

By 1995, the concentration of DDT is 0.5 ppm, so using this model is possible to reduce such amount and more of DDT.

8 0

2 years ago