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3 years ago

Which statements correctly describe the point plotted on the coordinate plane?

Mathematics

1 answer:

garri49 [273]3 years ago

5 0

Answer:

A and D are correct!

Step-by-step explanation:

The origin is 0,0

The x axis is the one that R is on right now

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What is the answer?....

Colt1911 [192]

Answer:

Step-by-step explanation:

g(2) = 3(2) - 3 = 6 - 3 = 3

h(3) = 3^2 - 4(3) = 9 - 12 = -3

A is the answer

5 0

3 years ago

Read 2 more answers

Let L be the line with parametric equations x=2+t, y=1-t, z=1+3t.Let v=(1,2,0).Find vectors w1 and w2 such that v= w1 + w2, and

charle [14.2K]

Answer:

w1 = (-1/11, 1/11, -3/11)

w2 = (12/11, 21/11, 3/11)

Step-by-step explanation:

Direction ratio of w1 = Direction ratio of L (because parallel) = K+(1, -1, 3)

Let <a,b,c> be direction ratio of w2.

Then, <a,b,c>. <1,-1,3> = 0

a-b+3c = 0

v = w1 + w2

(1, 2, 0) = k(1, -1, 3) + (a, b, c)

a + k = 1

b - K = 2

c - 3k = 0

Solving 4 equations, a = 12/11, b= 21/11, c = 3/11, k=-1/11

So, w1 = -1/11(1, -1 ,3) = (-1/11, 1/11, -3/11)

w2 = (12/11, 21/11, 3/11)

6 0

3 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

3 years ago

Identify the vertex for the graph of y = −2x2 − 12x 1.

RUDIKE [14]

Answer: (-3,19)

Step-by-step explanation:

Here the given function is,

$y = -2x^2-12x+1$

$\implies y = -2(x^2+6x)+1$

$\implies y = -2(x^2+6x)+1+18-18$

$\implies y = -2(x^2+6x+9)+19$

$\implies y = -2(x+3)^2+19$

$\implies y = -2(x-(-3))^2+19$

Since, the standard equation of a quadratic function is $y = a(x - h)^2 + k$

Where (h,k) is the vertex of the function.

On comparing the equation of given function with this standard form,

We get, the vertex of the given function is (-3,19)

⇒ First option is correct.

8 0

3 years ago

What is the value of x

nlexa [21]

This is a vertical angle, and vertical angles are equal to each other. So your equation would be 46 = x + 5. Now you solve for x by subtracting 5 on both sides. You are left with 41 = x, so there is your answer.

5 0

3 years ago