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3 years ago

Which of the following describes the end behavior of y = -x^2+bx+c as x approaches either positive or negative infinity?

1 answer:

5 0

The end behavior model of y is -x^2.
As x approaches either positive or neg infinity, -x^2 will always be negative.
Thus, "B) y approaches neg infinity" is the correct one.
Hope that will help :))

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<img src="https://tex.z-dn.net/?f=%5Csf%207-5x%3D-43" id="TexFormula1" title="\sf 7-5x=-43" alt="\sf 7-5x=-43" align="absmiddle"

lukranit [14]

Answer:

$\sf\longmapsto \: x = 10$

Step-by-step explanation:

Subtract 7 from both sides:

7−5x−7=−43−7

Simplify:

−5x=−50

Divide both sides by −5:

$\sf\longmapsto \: \frac{ - 5x}{ - 5} = \frac{ - 50}{5}$

$\sf\longmapsto \: x = 10$

$\boxed{\sf Answered \: By\: Subhash}$

$\boxed{\sf Good\: luck \: for \: your \:assignment}$

6 0

2 years ago

a chef uses 5 2/5 pounds of ground beef to make a hamburger and 2 1/4 pounds of ground beef to make meatloaf. the ground beef co

Lisa [10]

Answer:

16 packages

Step-by-step explanation:

5 2/5 + 2 1/4 Use the common denominator of 20

5 8/20 + 2 5/20

7 13/20

I know that I will need 14 packages for the 7 pounds. For the fraction part, 10/20 would be half, so I would need to buy a half pound for that, but I need 13/20 which would be more than a half pound, so I will need to buy 2 more pounds for the fraction part.

14 + 2 = 16

8 0

2 years ago

Increase the product if w and 8 by 15

Sergeu [11.5K]

Answer:

This question is hard to understand

Step-by-step explanation:

(w+8) × 15 ???

7 0

3 years ago

The expression i/pt represents the rate of instrest being charged if a loan of p dollars for t years required i dollars in intre

zysi [14]

Answer:

7.3%

Step-by-step explanation:

Given:

Formula for Rate of interest $R$ :

$R=\dfrac{i}{Pt}$

Where $i$ is the rate of interest.

$P$ dollars is the loan and

$t$ years is the time for which interest is to be paid

$P =\$690\\t=3\ years\\i=\$151.11$

To find:

$R=?$

Solution:

Putting the given values in the formula:

$R=\dfrac{151.11}{690 \times 3}\\\Rightarrow R=\dfrac{151.11}{2070}\\\Rightarrow R=0.073$

Multiply the above value with 100 to find the percentage.

i.e.

$R=0.073\times 100 = \bold{7.3\%}$

Therefore, the answer is 7.3%

8 0

3 years ago

Q2.What is the ratio of volumes of the two cylinders formed by rolling a sheet of dimensions lxb in two different ways? Q3.What

Kobotan [32]

Answer:

2. b : l

3. 20cm

4. 49 $cm^{2}$

5. $(2\pi+1):2\pi$

Step-by-step explanation:

Solution 2:

Let cylinder is rolled along 'l':

Height of cylinder , h = length of rectangle = l

Perimeter of base = b

Let 'r' be the radius of cylinder's base:

$2\pi r = b\\\Rightarrow r = \dfrac{b}{2\pi}$

Volume of a cylinder is given as:

$V = \pi r^{2} h$

Putting the values:

$V_1 = \pi (\dfrac{b}{2\pi})^2 l\\\Rightarrow V_1 = (\dfrac{b^2}{4\pi}) l$

Let cylinder is rolled along 'b':

Height of cylinder , h = length of rectangle = b

Perimeter of base = l

Let 'r' be the radius of cylinder's base:

$2\pi r = l\\\Rightarrow r = \dfrac{l}{2\pi}$

Volume of a cylinder is given as:

$V = \pi r^{2} h$

Putting the values:

$V_2 = \pi (\dfrac{l}{2\pi})^2 b\\\Rightarrow V_2 = (\dfrac{l^2}{4\pi}) b$

Taking ratio:

$V_1:V_2 = \dfrac{(\dfrac{b^2}{4\pi}) l}{(\dfrac{l^2}{4\pi}) b} = b:l$

Solution 3:

Rectangle is rolled along its length to make a cylinder, so height will be equal to its length.

$\therefore$ height of cylinder = 20 cm

Solution 4:

Side of square = 7 cm

Height of cylinder =Side of square = 7 cm

7 cm will be the circumference of the circle.

i.e. $2\pi r$ = 7 cm

Curved surface area of a cylinder:

$CSA = 2\pi rh$

Putting the above values:

CSA = 7 $\times$ 7 = 49 $cm^{2}$

Solution 5:

As calculated in above step:

CSA = $2\pi rh =$ 7 $\times$ 7 = 49 $cm^{2}$

Total surface area = $2\pi r^{2} + 2\pi r h$

Calculating value of r:

$2\pi r$ = 7 cm

$\Rightarrow 2 \pi r = 7\\\Rightarrow r = \dfrac{7}{2\pi}$

Total surface area =

$2\pi (\dfrac{7}{2\pi})^{2} + 49\\\Rightarrow \dfrac{49}{2\pi}+49\\\Rightarrow 49(\dfrac{1}{2\pi}+1) cm^2$

Ratio of TSA: CSA is

$49(\dfrac{1}{2\pi}+1) cm^2 : 49 cm^2\\\Rightarrow (\dfrac{1}{2\pi}+1):1\\\Rightarrow (2\pi+1): 2\pi$

5 0

3 years ago