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3 years ago

5

Angelica's bouquet of a dozen roses contains 5 white roses. The rest of the roses are pink. What fraction of the bouquet

1 answer:

andriy [413]3 years ago

4 0

12 a5 = 7

7 roses are pink.

The fraction would be pink/ total

Fraction = 7/12

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Write an equation for the line that contains the given point and that has the given slope m. (-8, -11) and slope undefined.

trapecia [35]

Answer:

x = -8 or x + 8 = 0

Step-by-step explanation:

As the slope is undefined, the line is parallel to y-axis

The equation of the line : x = -8

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3 years ago

Please Help me 20 Brainly points!

mojhsa [17]

Step-by-step explanation:

$\frac{1}{ \frac{1}{x + 2} + \frac{1}{x + 3} } \\ \\ = \frac{1}{ \frac{x + 3 + x + 2}{(x + 3)(x + 2)} } \\ \\ = \frac{1}{ \frac{2x + 5 }{ {x}^{2} + 2x + 3x + 6 } } \\ \\ = \frac{1}{ \frac{2x + 5 }{ {x}^{2} + 5x + 6 } } \\ \\ = \frac{{x}^{2} + 5x + 6}{2x + 5} \\$

Thus, option B is the correct answer.

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4 years ago

Read 2 more answers

damaskus [11]

We need to know the total number of calories in a cookie.

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Answer: 5%

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3 years ago

Graph the solution to the system<br> -x+y>2<br> X+2y>2

mariarad [96]

Answer:

$\begin{bmatrix}y>2+x\\ y>\frac{2-x}{2}\end{bmatrix}$

Step-by-step explanation:

<u>Step 1: Solve the system of equations</u>

<u /> $\begin{bmatrix}-x+y>2\\ x+2y>2\end{bmatrix}$ <u />

Isolate $y$ for $-x+y>2$

$\mathrm{Add\:}x\mathrm{\:to\:both\:sides}$

$-x+y+x>2+x$

$y>2+x$

Isolate $y$ for $x+2y>2$

$\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}$

$2y>2-x$

$\mathrm{Divide\:both\:sides\:by\:}2$

$\frac{2y}{2}>\frac{2}{2}-\frac{x}{2}$

$y>\frac{2-x}{2}$

$\bold{=\begin{bmatrix}y>2+x\\ y>\frac{2-x}{2}\end{bmatrix}}$

<u>Step 2: Graph</u>

Instructions for graphing:

$\mathrm{1.\:Graph\:each\:inequality\:separately.}$

$\mathrm{2.\:Choose\:a\:test\:point\:to\:determine\:which\:side\:of\:the\:line\:needs\:to\:be\:shaded.}$

$3. \mathrm{The\:solution\:to\:the\:system\:will\:be\:the\:area\:where\:the\:shadings\:}\\\mathrm{from\:each\:inequality\:overlap\:one\:another.}$

When done, it should look like this:

6 0

3 years ago

What is the total area of the regions between the curves y = 6x2 − 18x and y = −6x from x = 1 to x=3?.

kvasek [131]

Using integration, it is found that the area between the two curves is of 22 square units.

<h3>What is the area between two curves?</h3>

The area between two curves y = f(x) and y = g(x), in the interval from x = a to x = b, is given by:

$A = \int_{x = a}^{x = b} |f(x) - g(x)| dx$

In this problem, we have that:

$f(x) = 6x^2 - 18x, g(x) = -6x, a = 1, b = 3$ .

Hence, the area is:

$A = \int_{1}^3 |6x^2 - 12x| dx$

$A = |x^3 - 6x^2|_{x = 1}^{x = 3}$

Applying the Fundamental Theorem of Calculus:

$A = |3^3 - 54 - 1^3 + 6|$

$A = 22$

The area between the two curves is of 22 square units.

More can be learned about the use of integration to find the area between the two curves at brainly.com/question/20733870

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3 years ago