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3 years ago

Use the intercepts from the graph below to determine the equation of the function.

Mathematics

2 answers:

topjm [15]3 years ago

8 0

From the graph the at x-intercept

$(-3, \: 0)$
$(0, \frac{ - 3}{4} )$

Using the intercepts ,the equation is given by,

$\frac{x}{a} + \frac{y}{b} = 1$

where
$a = - 3$
and
$b = \frac{ - 3}{4}$
This implies that

$\frac{x}{ - 3} + \frac{y}{ \frac{ - 3}{4} } = 1$

This implies that

$x + 4y = - 3$
Multiplying through by 2 gives

$2x + 8y = - 6$
<b> The correct answer is D </b>

Tems11 [23]3 years ago

5 0

(-3,0) and (5, -2)

slope = (0 + 2) /(-3 - 5) = -2/8

y - 0 = -2/8 (x + 3)

y = -2/8 x - 6/8

8y = -2x - 6

2x + 8y = - 6

Answer is

D. 2x + 8y = -6

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Lady_Fox [76]

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3 years ago

Find the standard form of the equation for the conic section represented by x^2 + 10x + 6y = 47.

Levart [38]

Answer:

The standard form of the equation for the conic section represented by $x^2\:+\:10x\:+\:6y\:=\:47$ is:

$4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2$

Step-by-step explanation:

We know that:

$4p\left(y-k\right)=\left(x-h\right)^2$ is the standard equation for an up-down facing Parabola with vertex at (h, k), and focal length |p|.

Given the equation

$x^2\:+\:10x\:+\:6y\:=\:47$

Rewriting the equation in the standard form

$4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2$

Thus,

The vertex (h, k) = (-5, 12)

Please also check the attached graph.

Therefore, the standard form of the equation for the conic section represented by $x^2\:+\:10x\:+\:6y\:=\:47$ is:

$4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2$

where

vertex (h, k) = (-5, 12)

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3 years ago

(-5,7) and (2,5) <br> find the slope of the line passing through the given points

svp [43]

Answer: -2/7

Step-by-step explanation:

To find the slope, you use the formula $m=\frac{y_2-y_1}{x_2-x_1}$ .

$m=\frac{5-7}{2-(-5)} =\frac{-2}{7}=-\frac{2}{7}$

Now, we know the slope is -2/7.

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3 years ago

The graph of f is given in the figure to the right. Let A(x)equals=Integral from 0 to x f left parenthesis t right parenthesis

Tpy6a [65]

Answer:

$A(4)=-4\pi$

$A(8)=-4\pi +8$

$A(12)=-4\pi +16$

$A(14)=-4\pi +15$

Step-by-step explanation:

we are given

$A(x)=\int\limits^x_0 f{x} \, dx$

Calculation of A(4):

we can plug x=4

$A(4)=\int\limits^4_0 f{x} \, dx$

Since, this curve is below x-axis

so, the value of integral must be negative

and it is quarter of circle

so, we can find area of quarter circle

radius =4

$A(4)=-\frac{1}{4}\times \pi \times (4)^2$

$A(4)=-4\pi$

Calculation of A(8):

we can plug x=8

$A(8)=\int\limits^8_0 f{x} \, dx$

we can break into two parts

$A(8)=\int\limits^4_0 f{x} \, dx+\int\limits^8_4 f{x} \, dx$

now, we can find area and then combine them

$A(8)=-4\pi +\frac{1}{2}\times 4\times 4$

$A(8)=-4\pi +8$

Calculation of A(12):

we can plug x=12

$A(12)=\int\limits^12_0 f{x} \, dx$

we can break into two parts

$A(12)=\int\limits^4_0 f{x} \, dx+\int\limits^8_4 f{x} \, dx+\int\limits^12_8 f{x} \, dx$

now, we can find area and then combine them

$A(12)=-4\pi +\frac{1}{2}\times 8\times 4$

$A(12)=-4\pi +16$

Calculation of A(14):

we can plug x=14

$A(14)=\int\limits^14_0 f{x} \, dx$

we can break into two parts

$A(14)=\int\limits^4_0 f{x} \, dx+\int\limits^8_4 f{x} \, dx+\int\limits^12_8 f{x} \, dx+\int\limits^14_12 f{x} \, dx$

now, we can find area and then combine them

$A(14)=-4\pi +\frac{1}{2}\times 8\times 4-\frac{1}{2}\times 1\times 2$

$A(14)=-4\pi +16-1$

$A(14)=-4\pi +15$

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3 years ago

Question 10: Each tablet in a bottle of 30 costs the pharmacy $4.60. The pharmacy has additional costs including supplies and sh

valentinak56 [21]

The pharmacy should charge $201.6 for the entire bottle

Cost price refers the price the seller bought the product

Selling price refers to the price the seller sells to the consumer.

Profit refers to the money earned by the seller above the cost price

Loss refers to the money paid by the seller above the cost price.

Profit= SP-CP

CP=30X$4.60=$138

TOTAL EXPENSES=$138+30X$1.40

= $180

FOR PROFIT OF 12%,the seller must sell in= $180(1+12/100)

=$201.6

Therefore,the pharmacy should charge $201.6 for the entire bottle to make a profit of atleast 12%

Learn more about profit and loss,

brainly.com/question/19104371

#SPJ10

8 0

2 years ago