Given: F(x) = 3x^2+ 1, G(x) = 2x - 3, H(x) = x F(x) + G(x) =

andrew-mc [135]

Answer:

A. 72cm

Step-by-step explanation:

Figure a is a convex pentagon, a convex pentagon is a pentagon that does not have an internal angle greater than

${180}^{0}$

An easier thing to remember is that it does not have an angle pointing inwards like b, none of its angles/edges point toward the shape/inside

3 0

3 years ago

Write the standard form of the line that passes through (-1,-3) and (2,1).

kobusy [5.1K]

Answer:

Step-by-step explanation:

$\mathrm{Line\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Find\:the\:line\:}\\\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Compute\:the\:slope\:}\left(-1,\:-3\right),\:\left(2,\:1\right):\quad \\m=\frac{4}{3}\\\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:-3\right),\:\left(x_2,\:y_2\right)\\\left\\$

$\\m=\frac{1-\left(-3\right)}{2-\left(-1\right)}\\\\Refine\\\\m=\frac{4}{3}\\\\\mathrm{Compute\:the\:}y\mathrm{\:intercept}:\quad b=-\frac{5}{3}\\\\y=\frac{4}{3}x-\frac{5}{3}\\$

Convert equation to standard form

$y - \frac{4}{3} x + \frac{5}{3} = 0\\\\Multiply \:through\: by\: 3;\\\\3\times (y - \frac{4}{3} x + \frac{5}{3} )=0\\\\3y -4x+5 = 0\\Arrange\:n\:form\:of \:;\\Ax +By = C\\\\-4x +3y =-5$

5 0

3 years ago

Profit:p=r-c;solve for c

eduard

If you would like to solve p = r - c for c, you can do this using the following steps:

p = r - c /+c
p + c = r - c + c
p + c = r /-p
p + c - p = r - p
c = r - p

The correct result would be c = r - p.

5 0

2 years ago

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The graph shows the relationship between the number of minutes Maria spent jogging on a treadmill and the distance she jogged.

-BARSIC- [3]

Answer: 0.1 mile per minute

Step-by-step explanation:

I’ve just took the quiz and got it right

Option A

5 0

2 years ago

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Please help me with these problems. This is not multiple choice. Part 3

Ivan

9514 1404 393

Answer:

5. 8 ft

6. y = 47x +110; 533 students in 2019

Step-by-step explanation:

4. Answered for you previously. See brainly.com/question/21087377.

__

5.

Given:

triangular garden with base 7 ft and area 28 ft^2

Find:

height of the triangle

Solution:

The formula for the area of a triangle is ...

A = 1/2bh . . . . . where A is the area, b is the base length, and h is the height

Multiplying by 2/b, we can get a formula for the height. Using this formula, we can solve the problem.

h = 2A/b

We can let h represent the height, and fill in the given data.

h = 2(28 ft^2)/(7 ft)

h = 8 ft

The height of the triangle is 8 feet.

__

6.

Given:

(0, 110), (5, 345) . . . . . where the points represent ...

(years after 2010, students using the hotline)

Find:

a linear model for the data

the number of students predicted for 2019

Solution:

The 2-point form of the equation for a line is ...

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

where the points are (x1, y1) and (x2, y2). Using the given points, our linear model is ...

y = (345 -110)/(5 -0)(x -0) +110

y = 47x +110 . . . . the linear model, where ...

y is the number of students using the hotline

x is the number of years after 2010

__

In 2019, x = 9, so y = ...

y = 47(9) +110 = 423 +110 = 533

The number of students predicted to use the hotline in 2019 is 533.

5 0

3 years ago

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