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3 years ago

Use the numbers 2, 3, 4, and 5 and the symbols + and = to write a true math sentence

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

6 0

Answer:

3+4 = 5+2

Step-by-step explanation:

They equal each other when they are added up.

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Which statement is correct when a scatterplot is constructed? A.The independent variable is the input variable and should be rep

spayn [35]

Answer:- A.The independent variable is the input variable and should be represented by the x-axis.

Explanation:-

A. Correct.

B. Not correct.

<u>Reason</u>:- The independent variable is the input variable and should be represented by the x-axis.

C. Not correct.

<u>Reason</u>:- The dependent variable is the output variable and should be represented by y-axis.

D. Not correct.

<u>Reason</u>:-The dependent variable is the output variable and should be represented by y-axis.

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2 years ago

I need help with math work

vichka [17]

1. 3/1

2. Will be positive. Aka always rational.

3. 3/1 + 3/1 = 6/2 = 3/1

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3 years ago

3. The curve C with equation y=f(x) is such that, dy/dx = 3x^2 + 4x +k

Andreas93 [3]

a. Given that y = f(x) and f(0) = -2, by the fundamental theorem of calculus we have

$\displaystyle \frac{dy}{dx} = 3x^2 + 4x + k \implies y = f(0) + \int_0^x (3t^2+4t+k) \, dt$

Evaluate the integral to solve for y :

$\displaystyle y = -2 + \int_0^x (3t^2+4t+k) \, dt$

$\displaystyle y = -2 + (t^3+2t^2+kt)\bigg|_0^x$

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

Use the other known value, f(2) = 18, to solve for k :

$18 = 2^3 + 2\times2^2+2k - 2 \implies \boxed{k = 2}$

Then the curve C has equation

$\boxed{y = x^3 + 2x^2 + 2x - 2}$

b. Any tangent to the curve C at a point (a, f(a)) has slope equal to the derivative of y at that point:

$\dfrac{dy}{dx}\bigg|_{x=a} = 3a^2 + 4a + 2$

The slope of the given tangent line $y=x-2$ is 1. Solve for a :

$3a^2 + 4a + 2 = 1 \implies 3a^2 + 4a + 1 = (3a+1)(a+1)=0 \implies a = -\dfrac13 \text{ or }a = -1$

so we know there exists a tangent to C with slope 1. When x = -1/3, we have y = f(-1/3) = -67/27; when x = -1, we have y = f(-1) = -3. This means the tangent line must meet C at either (-1/3, -67/27) or (-1, -3).

Decide which of these points is correct:

$x - 2 = x^3 + 2x^2 + 2x - 2 \implies x^3 + 2x^2 + x = x(x+1)^2=0 \implies x=0 \text{ or } x = -1$

So, the point of contact between the tangent line and C is (-1, -3).

7 0

2 years ago

It takes Karl 6 hours to drive 372 miles. If he drives at a constant speed during the 6 hours, what is his unit rate? At this ra

Vikki [24]

He drives 62 miles per hour.
And yes, you are right, (496 miles after 8 hours)

5 0

2 years ago

The table shows the results of a survey of students in two math classes.

qwelly [4]

P(more than 1 hour of TV | 6th period class) is 0.352.

<h3>What is the probability?</h3>

Probability determines the odds that a random event would happen. The odds of the random event happening lie between 0 and 1.

P(more than 1 hour of TV | 6th period class) = number of 6th period class students who watch tv for more than an hour / total number of students surveyed

12 / (12 + 9 + 5 + 8)

12 / 34 = 0.352

To learn more about probability, please check: brainly.com/question/13234031

#SPJ1

4 0

1 year ago