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3 years ago

Which equation is represented by the graph below?

Mathematics

1 answer:

Nonamiya [84]3 years ago

7 0

C)

First, you can get rid of A and B because the y-intercept is 6 so it has +6 at the end

Next, the slope is rise over run, the graph goes up 2 and over 3 so it should be 2/3.

2/3x + 6

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The student population of a school consists of 300 girls and 500 boys

denis-greek [22]

Answer:

In all you have 800 students.

The ratio of girls to boys is 300:500

500 x 300 = 150000

Step-by-step explanation:

Hope this helps?

8 0

3 years ago

Factorize: 3a^2 + 10a + 3

sergey [27]

Answer: (3a + 1) (a + 3)

Step-by-step explanation:

Concept:

Here, we need to know the idea of factorization.

It is like "splitting" an expression into a multiplication of simpler expressions. Factoring is also the opposite of Expanding.

Solve:

Given = 3a² + 10a + 3

STEP ONE: separate 3a² into two terms

STEP TWO: separate 3 into two terms

STEP THREE: match the four terms in ways that when doing cross-multiplication, the result will give us 10a.

3a 1

a 3

When cross multiply, 3a × 3 + 1 × a = 10a

STEP FOUR: combine the expression horizontally to get the final factorized expression.

3a ⇒ 1

a ⇒ 3

(3a + 1) (a + 3)

Hope this helps!! :)

Please let me know if you have any questions

7 0

3 years ago

Given f(x)=e^-x^3 find the vertical and horizontal asymptotes

Aleonysh [2.5K]

Given:

$f\mleft(x\mright)=e^{-x^3}$

To find the vertical and horizontal asymptotes:

The line x=L is a vertical asymptote of the function f(x) if the limit of the function at this point is infinite.

But, here there is no such point.

Thus, the function f(x) doesn't have a vertical asymptote.

The line y=L is a vertical asymptote of the function f(x) if the limit of the function (either left or right side) at this point is finite.

$\begin{gathered} y=\lim _{x\rightarrow\infty}e^{-x^3} \\ =e^{-\infty} \\ y=0 \\ y=\lim _{x\rightarrow-\infty}e^{-x^3} \\ y=e^{\infty} \\ =\infty \end{gathered}$

Thus, y = 0 is the horizontal asymptote for the given function.

5 0

1 year ago

Complete the coordinate proof of the theorem. Given: A B C D is a rectangle. Prove: The diagonals of A B C D are congruent.

Inessa05 [86]

Step-by-step explanation:

Given coordinates of the rectangle ABCD:

A(0, 0), B(a, 0), C(x, y), D(0, b)

Lets first find coordinates of C

We can see that A and B are on same line horizontally, so C and D will be on the parallel line

The distance AB and CD are equal also distance AD and BC are equal, therefore

AB = a - 0 = a, CD = a
AD = b - 0 = b, BC = b

So the coordinates of C are:

x = a, y = b

Now the diagonals:

AC = √(a-0)² + (b-0)² = √a²+b²
BD =√(0-a)² + (b -0)² = √a² + b²

Since AC = BD, we can state they are congruent

3 0

3 years ago

Read 2 more answers

Need help !Which picture shows the correct graph of |x| = 3?

lana66690 [7]

Answer:

F. Picture F

Step-by-step explanation:

4 0

3 years ago