the cost price of a box and a pen is rupees 80 the box is sold at 10% profit and the pen is sold at 10% loss if the selling price of the box is rupees 28 more than that of the pen calculate the profit or loss percent in the whole​

Answer:

y = -2(x + 1)^2 + 8

Step-by-step explanation:

The equation of a parabola can be written in the form;

y = a(x-h)^2 + k

where a is the multiplier (h,k) is the vertex

so h = -1 and k = 8

Plug in these values

y = a(x + 1)^2 + 8

So to get the value of a, we use the point where the parabola passes through which is the point (1,0)

Simply substitute the values of x and y

0 = a(1 + 1)^2 + 8

0 = a(2)^2 + 8

-8 = 4a

a = -8/4

a = -2

So therefore the equation of the parabola is ;

y = -2(x + 1)^2 + 8

The required equation of parabola with given vertex and point of passing is [tex]y=-2(x+1)^{2}+8[/tex].

Given data:

The vertex of parabola is, (-1, 8).

The vertex is passing through (1, 0).

We know that standard equation parabola is,

[tex]y=a(x-h)^{2}+k[/tex]

Here, a is any multiplier, h and k are the vertices.

From the given problem,

h = -1

k = 8

So substituting the values as,

[tex]y=a(x-(-1))^{2}+8\\y=a(x+1)^{2}+8[/tex]..............................................(1)

To obtain the value of a, we use the point where the parabola passes through which is the point (1,0). Here, x = 1 and y =0.

So,

[tex]0=a(1+1)^{2}+8\\\\a = -2[/tex]

Substitute the value of a in equation (1) as,

[tex]y=(-2)(x+1)^{2}+8\\\\y=-2(x+1)^{2}+8[/tex]

Thus, the required equation of parabola is  [tex]y=-2(x+1)^{2}+8[/tex].

learn more about the parabola here:

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let the other angle be x degree

bigger angle = x +36°

According to the question,

x+36° + x° = 180°

=> 2x = 180–36

=> x = 144/2

=> x = 72°

Measure of the bigger angle = x + 36

= 72° + 36°

= 108°

The area of the shape is the amount of space on the shape

Using the assumed parameters, the area of the shape is 25 square units

The question is incomplete, as the shape is not given.

Assume the shape is a trapezoid, the area of the shape would be:

A = 0.5 * (sum of parallels sides) * height

Using the assumed values, we have:

Area = 0.5 * (12 + 13) * 2

Evaluate the product

Area = 25

Using the assumed values, the area of the shape is 25 square units

Read more about areas at:

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Answer:

54

Step-by-step explanation:

Answer:true

Step-by-step explanation:

Answer:

Your answer should be 4:9

Step-by-step explanation:

Good luck.

En total, durante los últimos meses la familia de Manuel ha consumido 792 kilos de productos de primera necesidad.

Arroz: 17+13+18= 48 kg

Fideos: 12+27+30 = 69 kg

Harina: 26+56+50= 132 kg

Aceite: 6+24+30= 60 kg

Avena: 8+16+20= 44 kg

Papa: 32+48+48= 128 kg

Frejol: 12+20+27= 59 kg

Alverja: 16+24+26= 66 kg

Pollo: 12+12+12= 36 kg

Carne de res: 8+10+10= 28 kg

Mazamorra: 8+25+28= 61 kg

Leche: 13+24+24=61 kg

48+69+132+60+44+128+59+66+36+28+61+61= 792 kilos

Nota: Esta pregunta está incompleta, a continuación se adjunta la parte faltante.

Aprenda más sobre sumas en: https://brainly.com/question/1456841

Answer:

y=3x-2

Step-by-step explanation:

For this problem, you can use the point-slope formula: y-y1=m(x-x1), with x1 and y1 being from the given coordinate, and m being the slope (which is 3 that can be seen in the equation). Since we're finding a line that is parallel to this line, the slopes of both equations are the same.

y-(1)=3(x-1)

y-1=3x-3

y=3x-2

Check:

(1)=3(1)-2

1=3-2

1=1

[tex]y=3x-2[/tex]  is an equation of a line that is parallel to [tex]y = 3x - 9[/tex] and passes through the point [tex](1, 1).[/tex]

What is equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

What is Parallel lines?

In geometry, parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet.

According to question, we have to write an equation of a line that is parallel to [tex]y = 3x - 9[/tex]  and passes through the point [tex](1, 1)[/tex]

Since, the line passes through [tex](1,1)[/tex] and have slope[tex]=3[/tex]

So, [tex]y-(1)=3(x-1)[/tex]

⇒      [tex]y-1=3x-3[/tex]

⇒            [tex]y=3x-2[/tex]

Hence, we can conclude that [tex]y=3x-2[/tex]  is an equation of a line that is parallel to [tex]y = 3x - 9[/tex] and passes through the point [tex](1, 1).[/tex]

Learn more about Parallel lines here:

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#SPJ2

Answer:

A. Martin was faster

Step-by-step explanation:

If you look at the graph, you can see that Martin is going faster.

For example: When George is at 2 weeks, he is almost at 3 kg. When Martin is at 2 weeks, he is at 4 kg exactly.

Brainliest?

Answer:

Step-by-step explanation:

1/3 p, 9,9 are in the geometric sequence

9/ ( 1 1/3) = 27

3^3 = 27

So -- p = 1/3 x 3 = 1

q= 1 x 3 = 3

3 x 3=9

Answer:

multiply both sides by 3

Step-by-step explanation:

i would multiply 3 on both sides to cancel the fraction out so i dont have to work with fractions

Answer:

multiply both 3 sides

Step-by-step explanation:

real simple m

Answer:

Lee's flight would take 3.5 hours.

Step-by-step explanation:

1400 ÷ 400 = 3.5

the sum of two complementary angles is 90°

so 28 + ? = 90

? = 62°

here'

complementry angle means those whose sum is 90

here one angle is given so,

another angle =90-28

that is 72.ans

Answer:

car

Step-by-step explanation:

[tex](\stackrel{a}{-35}~~,~~\stackrel{b}{-12})\qquad \impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c = \sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{(-35)^2+(-12)^2}\implies c=\sqrt{1225+144}\implies c=\sqrt{1369} \\\\\\ \underline{c=37}~\hspace{10em}sin(\theta )=\cfrac{\stackrel{opposite}{-12}}{\underset{hypotenuse}{37}}[/tex]

Answer:

c

Step-by-step explanation:

Answer:

The last one

Step-by-step explanation:

K so first look at y intercept which is +5, so we eliminate A and C, then the graph opens up so the b in ax+bx+c has to be positive which is D

the point ( 0 ; 5 ) in on the curve

so f(0) = 5

choice between :

x² - 2x + 5 or x² + 2x + 5 then :

we have the point (1 ; 4)

with x² - 2x + 5

f(1) = 1² - 2*1 + 5 = 1 - 2 + 5 = 4

so it's correct

=> x² - 2x + 5 is the right one

Answer:

[tex]x=3,\:y=7[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}8x+3y=45\\ 2x+3y=27\end{bmatrix}[/tex]

[tex]\mathrm{Substitute\:}x=\frac{45-3y}{8}[/tex]

[tex]\begin{bmatrix}2\cdot \frac{45-3y}{8}+3y=27\end{bmatrix}[/tex]

[tex]\begin{bmatrix}\frac{45+9y}{4}=27\end{bmatrix}[/tex]

[tex]y=7[/tex]

[tex]\mathrm{For\:}x=\frac{45-3y}{8}[/tex]

[tex]\mathrm{Substitute\:}y=7[/tex]

[tex]x=\frac{45-3\cdot \:7}{8}[/tex]

[tex]x=3[/tex]

[tex]\mathrm{The\:solutions\:are}:[/tex]

[tex]x=3,\:y=7[/tex]

Step-by-step explanation:

Given that he dimension is

9 1/2 inches wide

and 14 inches wide.

half way from 9.5 inches is

4.75in

half way from 14 inches is

7in

Therefore he put the picture at 4.75in from the top and 7in from the sides

Answer:

When and why do people engage in different forms of proactive behavior at work? We propose that as a result of a process of trait activation, employees with different types of self-construal engage in distinct forms of proactive behavior if they work in environments consistent with their self-construals. In an experimental Study 1 (n = 61), we examined the effect of self-construals on proactivity and found that people primed with interdependent self-construals engaged in more work unit–oriented proactive behavior when job interdependence was also manipulated. Priming independent self-construals did not enhance career-oriented proactive behavior, even when we manipulated job autonomy. In a field Study 2 (n = 205), we found that employees with interdependent self-construals working in jobs with high interdependence reported higher work unit commitment and higher work unit–oriented proactive behavior compared to employees in low interdependent jobs. Employees with independent self-construals working in jobs with high autonomy also exhibited stronger career commitment and more career-oriented proactive behavior than did those in jobs with low autonomy. This research offers a theoretical framework to explain how dispositional and situational factors interactively shape people’s engagement in different forms of proactive behavior.

Step-by-step explanation:

Answer:

1.) a- 9,00

b-43,000

d-8,000

e-41,000

g-7,000

h-56,000

j-16,000

Step-by-step explanation:

2.)

a-5

b-17

c-21

Answer:

1)

a. 9,000 bytes

b. 43,000 bytes

c. 9,600 bytes

d. 8,000 kilobytes

e. 41,000 kilobytes          f. 7,300 kilobytes

g. 7,000 MB                     h. 56,000 MB

i. 2,500 MB                       j. 16,000,000 Bytes

2)

a. 5

b. 17

c. 21

The mean measurement is the average value of the leaves

The possible measurement of the 6th leaf is 13.3

The dataset is given as:

14.2, 13.8, 12.6, 13.4 and 11.5

Sort the data elements

11.5, 12.6, 13.4, 13.8 and 14.2

Calculate the mean

[tex]\bar x = \frac{11.5 + 12.6 + 13.4 + 13.8 + 14.2}{5}[/tex]

[tex]\bar x = \frac{65.5}{5}[/tex]

[tex]\bar x = 13.1[/tex]

So the mean is 13.1 and the median is 13.4

For the mean to increase, the 6th dataset must be greater than 13.1.

For the median to decrease, the 6th dataset must be less than 13.4

From the list of given options, the element that satisfy the above highlights is 13.3

Hence, the possible measurement of the 6th leaf is 13.3

Read more about mean and median at:

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Answer:

283024

Step-by-step explanation:

First do 532^7

The answer is 12060947473224100000

Next, do 532^-8

The answer is 1/6416424055755230000000

Multiply that number by the first number

(I don't want to type that all out again)

The answer is 1/532

Now, do the last problem. 532^3

The answer is 150568768

Multiply that number by 1/532

The answer is 283024

Hope I helped :)

Please consider Brainliest :)

(it took me so long to type that)

Answer:

a.[tex]-7 < x < 7[/tex]
b.[tex]-12 < x < 6[/tex]
c. Two answers are: y < -3 or y > 19
d. Two answers are x ≤ -17/3 or x ≥ 19/3
e. -4 ≤ y ≤ 5/2

Step-by-step explanation:

Given the following questions:

Question one:

[tex]|x| < 7[/tex]
x is less than 7
[tex]=-7 < x < 7[/tex]

Question two:

[tex]|x+3| < 9[/tex]
[tex]x+3 > -9[/tex]
[tex]3-3=0[/tex]
[tex]-9+-3=-12[/tex]
[tex]x > -12[/tex]

[tex]x+3 < 9[/tex]
[tex]3-3=0[/tex]
[tex]9-3=6[/tex]
[tex]x < 6[/tex]
x is greater than -12, while less than 6
[tex]-12 < x < 6[/tex]

Question three:

[tex]|y-8| > 11[/tex]
[tex]y-8 < -11[/tex]
[tex]-8+8=0[/tex]
[tex]-11+8=-3[/tex]
[tex]y < -3[/tex]

[tex]y-8 > 11[/tex]
[tex]-8+8=0[/tex]
[tex]11+8=19[/tex]
[tex]y > 19[/tex]
Two answers are: y < -3 or y > 19

Question four:

|3x - 1| ≥ 18
3x - 1 ≤ -18
-1 + 1 = 0
-18 + 1 = -17
3x ≤ -17
x ≤ -17/3

3x - 1 ≥ 18
-1 + 1 = 0
18 + 1 = 19
3x ≥ 19
x ≥ 19/3
Two answers are: x ≤ -17/3 or x ≥ 19/3

Question five:

|4y + 3| ≤ 13
|4y + 3| ≤ 13 = -13 ≤ 4y + 3 ≤ 13
-13 ≤ 4y + 3 ≤ 13
4y + 3 ≥ -13
3 - 3 = 0
-13 + - 3 = -16
4y ≥ -16
4 ÷ - 16 = -4
y ≥ -4

4y + 3 ≤ 13
3 + -3 = 0
13 - 3 = 10
4y ≤ 10 = 10/4 ÷ 2 = 5/2
y ≤ 5/2
-4 ≤ y ≤ 5/2

Hope this helps.

Answer:

17

Step-by-step explanation:

5x2=10

8 1/2x2=17

Answer:

8

Step-by-step explanation:

x = -2

the y to (-2,y) is 8