The step function g(x) is defined as shown.
-3, X < 0
g(x) = 2 0 < x < 4
5, 4 < x < 10
What is the range of g(x)?
0 -3 = g(x) 5
Os g(x) = 10
O {-3, 2, 5)
{0, 4, 10}

Answer:

It's an isosceles triangle equal 2 sides so

it will be x+67 ° +67 ° =180° ( sum of angle in triangle)

x+134 °=180 °

x =180 - 134

x = 46 °

The measurement of the missing angles in the given triangle is 67.

Use the concept of isosceles triangle defined as:

A triangle with two equal-length sides is said to be isosceles.

An isosceles triangle has equal angles on either side of its equal sides.

In the given figure,

One angle is 67 degrees

And two sides are equal.

Let the missing angle is x°

Since the two sides of this triangle are equal,

So this is an isosceles triangle.

Then two opposite angles must be equal.

For a triangle,

The sum of interior angles = 180°

Therefore,

67° + 67° + x° = 180°

x° = 46°

Hence,

The measurement of the missing angle is 46°

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Answer:

the answer is -9/16.....

Answer:

2/18

Step-by-step explanation:

Answer:

7.9ft

Step-by-step explanation:

Cos44 x 11

= 7.912737804

≈ 7.9 ft

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Answer:

Answer to the following question is as follows;

Step-by-step explanation:

Given:

Amount invested by Mr. Mohit = Rs. 50,00,000

Computation:

Books of (...... LTD)

Journal entries

Date                         Particular                        Debit        Credit

March 1         Cash                     A/C Dr.     50,00,000

                     To Capital            A/C Cr.                         50,00,000

(Being Amount invested in new business)

Answer:

Rs 56250

Step-by-step explanation:

Given:

Cost price of laptop (CP) = RS 45000

Profit (P) = 24 % = 0.24

The selling price of dealer (SP) = Cost price of customer,

So,

Selling price of dealer = [tex]\tt CP + Profit \:Percentage \:of \:C.P[/tex]

Selling price of dealer = CP(1+ Profit %)

Substituting value

Selling price of dealer = 45000(1+0.24)

Selling price of dealer = 45000*1.24

Selling price of dealer = 56250

Therefore, the Customer paid Rs 56250 for the laptop.

Answer:

Rs 56,250

Step-by-step explanation:

To calculate how much the customer paid for the laptop, we need to determine the total price after the retailer added a 25% profit margin.

If the dealer purchased the laptop for Rs 45,000, then Rs 45,000 is 100%. If the dealer sells it to a customer at 25% profit, it was sold at 125% of its purchase price.

Therefore, to calculate how much the customer paid for the laptop, we need to find 125% of Rs 45,000:

[tex]\begin{aligned}\sf 125\%\;of\;45000&=\sf\dfrac{125}{100} \times 45000\\\\&=\sf\dfrac{125\times 45000}{100} \\\\&=\sf\dfrac{5625000}{100} \\\\&=\sf56250\end{aligned}[/tex]

Therefore, the customer paid Rs 56,250 for the laptop.

Answer:47/12

=3.9167

Step-by-step explanation:

Step-by-step explanation:

I hope this will help you

stay safe

Answer:

Step-by-step explanation:

4). a). If the diagonals of a parallelogram are congruent, then it must be a RECTANGLE.

b). If the diagonals of a parallelogram are perpendicular, then it must be a SQUARE.

c). If the diagonals of a parallelogram bisect the angles of the parallelogram, then it must be a RHOMBUS.

d). If the diagonals of a parallelogram are perpendicular and congruent, then it must be a SQUARE.

e). If a parallelogram has four congruent sides, then it must be a SQUARE.

5). Given quadrilateral SELF is a rhombus.

a). All sides of a rhombus are equal,

   Therefore, ES = EL = 25

b). Diagonals of a rhombus bisects the opposite angles,

   Therefore, m∠ELS = m∠FLS

    3x - 2 = 2x + 7

    3x - 2x = 7 + 2

    x = 9

c). Diagonals of the rhombus bisect the opposite angles, and adjacent angles are supplementary.

m∠ELF = 2(m∠ELS) = 2(2y - 9)

m∠LES = 2(m∠LEF) = 2(3y + 9)

And 2(2y - 9) + 2(3y + 9) = 180

(2y - 9) + (3y + 9) = 90

5y = 90

y = 18  

Answer:

[tex]m\widehat{MP}=118^{\circ}[/tex]

Step-by-step explanation:

In any circle, the measure of an inscribed angle (an angle created when the intersection of two chords is on the circle) is equal to half of the arc it forms. In this case, [tex]\angle MPN[/tex] is an inscribed angle that forms [tex]\widehat{MN}[/tex]. Therefore, the measure of arc MN must be twice the measure of angle MPN:

[tex]m\widehat{MN}=2\cdot m\angle MPN,\\m\widehat{MN}=2\cdot 31^{\circ}=62^{\circ}[/tex]

Since we want to find the measure of arc MP, we need to know that there are 360 degrees in a circle. Since [tex]\overline{PN}[/tex] is a diameter of the circle (line that has two endpoints on the circle and that passes through the center of the circle), each side of [tex]\overline{PN}[/tex] must be 180 degrees.

Therefore, we have:

[tex]m\widehat{MN}+m\widehat{MP}=180^{\circ},\\62^{\circ}+m\widehat{MP}=180^{\circ},\\m\widehat{MP}=\boxed{118^{\circ}}[/tex]

Answer:

3

Step-by-step explanation:

9,8,3,2,5

3

3/5=0.6

0.6

Answer:

[tex]{ \tt{p=\frac{3(x^{2} +1)}{2x-1}}} \\ { \tt{p(2x - 1) = 3( {x}^{2} + 1) }} \\ { \tt{2px - p = 3 {x}^{2} + 3 }} \\ { \tt{3 {x}^{2} - (2p)x + (p + 3) = 0}} [/tex]

By factorization :

[tex]{ \tt{ ( {p}^{2} - 3)( p + 3) \: is \: the \: zero}}[/tex]

Since the roots are real, they're greater than zero ( 0 < x ≤ +∞ ):

[tex]{ \tt{ ({p}^{2} - 3})(p + 3) \geqslant 0}[/tex]

Answer:

(e) (27, 2) and (243, 18)

(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

(c) (27, 12) and (72, 32)

(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

(f) (18, 63) and (24, 84)

Step-by-step explanation:

Required

Arrange in increasing order of slope

Slope (m) is calculated using:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

So, we have:

(a) (15, 30) and (20, 40)

[tex]m = \frac{40 -30}{20- 15}[/tex]

[tex]m = \frac{10}{5}[/tex]

[tex]m =2.00[/tex]

(b) (12, 32) and (18, 48)

[tex]m = \frac{48 -32}{18- 12}[/tex]

[tex]m = \frac{16}{6}[/tex]

[tex]m = 2.67[/tex]

(c) (27, 12) and (72, 32)

[tex]m = \frac{32-12}{72- 27}[/tex]

[tex]m = \frac{20}{45}[/tex]

[tex]m = 0.44[/tex]

(d) (45, 15) and (60, 20)

[tex]m = \frac{20-15}{60- 45}[/tex]

[tex]m = \frac{5}{15}[/tex]

[tex]m = 0.33[/tex]

(e) (27, 2) and (243, 18)

[tex]m = \frac{18-2}{243- 27}[/tex]

[tex]m = \frac{16}{216}[/tex]

[tex]m = 0.07[/tex]

(f) (18, 63) and (24, 84)

[tex]m = \frac{84-63}{24- 18}[/tex]

[tex]m = \frac{21}{6}[/tex]

[tex]m = 3.50[/tex]

(g) (63, 9) and (84, 12)

[tex]m = \frac{12 -9}{84- 63}[/tex]

[tex]m = \frac{3}{21}[/tex]

[tex]m = 0.14[/tex]

From least to greatest slope, the pair of points are:

(e) (27, 2) and (243, 18)

(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

(c) (27, 12) and (72, 32)

(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

(f) (18, 63) and (24, 84)

Answer:

From least to greatest slope, the pair of points are:

(e) (27, 2) and (243, 18)

(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

(c) (27, 12) and (72, 32)

(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

(f) (18, 63) and (24, 84)

Step-by-step explanation:

Answer:

z= (w-x)/ xy

Step-by-step explanation:

w= x+xyz solve for z

w= x+xyz, isolate the term that has z by subtracting x from both sides (because is the opposite of adding x to the term xyz we try to isolate)

w-x = xyz, divide both sides by xy assuming that xy≠0 (because is the opposite of multiplying z by xy to solve for z, and xy≠0  because we do not want to divide by 0)

(w-x)/xy = z

9514 1404 393

Answer:

Step-by-step explanation:

The variable cost per gallon (128 floz) is ...

  water bottles: $2.79/((24×16.9 floz)/(128 floz/gal)) = $0.88 /gal

  faucet filter cartridge: $33/(3×100 gal) = $0.11 /gal

  filter pitcher: $20/(4×40 gal) = $0.125 /gal

  under-sink filter: $60/(500 gal) = $0.12 /gal

a) The cheapest option over the year is the faucet filter.

__

b) The cost of setting up the faucet filter includes the cost of a reusable bottle ($10) and the cost of the faucet mount (less the value of the accompanying cartridge), $28 -11 = $17. The total in addition to the recurring cost is then ...

  setup cost = $10 + 17 = $27

and the first-year cost will be ...

  $27 + $0.11 g . . . . . where g is the number of gallons used.

The amount of water used in a year (365 days) is ...

  (365 days/year)×(6×16.9 oz/day)×(1 gal/(128 oz)) = 289.148 gal/year

Then the cost per year for water bottles is ...

  (289.148 gal/year)·($0.8804733 /gal) = $254.59 /year

The cost for the first year for the faucet filter is ...

  $27 + ($0.11/gal)(289.148 gal) = $58.81

Janine's first-year savings using a faucet filter will be about ...

  $254.59 -58.81 = $205.78

Her savings over subsequent years will be $27 per year more than this.

Answer:

[tex]x1 = - 4.525[/tex]

[tex]x2 = 5.525[/tex]

Step-by-step explanation:

[tex]x1 = \frac{1 - \sqrt{101} }{2} [/tex]

[tex]x2 = \frac{1 + \sqrt{101} }{2} [/tex]

Answer:

Step-by-step explanation:

Hello!

(x +x+7)*2 = 50

(2x+7)*2 = 50

4x+14= 50

4x= 50-14

4x= 36

x= 36/4

x= 9

9 et 16cm

Answer:

If you mean graphing its called a parabola

Step-by-step explanation:

The shape of a quadratic equation is called a Parabola.

The graph of a quadratic equation is a curve known as a parabola. The shape of a parabola can vary depending on the values of "a," "b," and "c" in the quadratic equation.

Therefore, the shape is parabola.

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The predicted value of Y when X = 0. Therefore, option D is the correct answer.

Regression analysis is one of the sophisticated statistical modeling techniques in which we try and establish a relationship between variables, the dependent or response variable, and one or more independent or explanatory variables.

The linear regression equation of a single variable can be written down as: Y=a+bX

According to the definition of the equation of regression analysis, the Y-intercept represents the predicted value of Y when X = 0.

The Y-intercept, as the name suggests, is the point when the regression line crosses the y axis. This happens only when the value of the x variable is zero:

Y-intercept = Y(0)=a+b(0)

Y-intercept=a

Therefore, option D is the correct answer.

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Answer:

Al inicio Iván tenía 8.1 litros de agua hervida.

Step-by-step explanation:

Dado que Iván sabe que por su salud debe tomar agua hervida, y llenó 3 botellas de agua hervida para empezar con 7,2 L usando 3 botellas grandes y 5 botellas pequeñas, y no llenó otra botella ya que le faltaba 0,5L pero llenó una pequeña mas y le quedaron 0,3L de agua hervida para tomar, para determinar cuánta agua hervida tenia al inicio Iván se debe realizar el siguiente cálculo:

Botella grande = -0.5 litros

Botella chica = +0.3 litros

0.5 + 0.3 = 0.8

Así, la diferencia entre una botella grande y una botella chica es de 0.8 litros.

3X + 5(X - 0.8) = 7.2

3X + 5X - 4 = 7.2

8X = 7.2 + 4

X = 11.2 / 8

X = 1.4

3 x 1.4 + 5 x 0.6 = 7.2

7.2 + 0.6 + 0.3 = 8.1

Por lo tanto, al inicio Iván tenía 8.1 litros de agua hervida.

Answer:

x:-4,-3,-2,-1,0,1

f(x):-10,0,0,-4,-6,0

from the table we can see when x=0, y=-6

Therefore the y-intercept will be (0,-6)

OAmalOHopeO

The y intercept of the continuous function in the table is given by the relation f ( 0 ) = -6

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

Let the values of x be x = { -4 , -3 , -2 , -1 , 0 }

Let the values of y be y = { -10 , 0 , 0 , -4 , -6 }

Now , the y intercept of the function is when the value of x = 0

So , when x = 0 , the value of y = -6

And , f ( 0 ) = -6

Therefore , the y intercept is ( 0 , -6 )

Hence , the y intercept of the function is ( 0 , -6 )

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Answer:

x = 10

The both line crosses with a little hyphen, meaning those are same

Answered by GAUTHMATH

Answer:

Step-by-step explanation:

factor the numerical coefficients (6 and 96)

HCF 6 and 96 is 6

HCF x^10 and x^2 = x^2

HCF: 6x^2

(6* x^8*x^2 - 16*6 x^2)             Take out the highest common factor

6x^2 (x^8 - 16)

Answer:

(B) mn+3

Rule of algebra: *INTEGERS*

like sign➡ add

unlike sign➡ subtract

Step-by-step explanation:

Because the m2n2 is got subtract by m and n that's why it bacames a constant mn.

Answer:

[tex](m^{2} n^{2} -7)-(mn+4)[/tex]

[tex]=m^{2} n^{2} -7-mn-4[/tex]

[tex]m^{2} n^{2} -mn-11[/tex]

Option C is your answer

----------------------------------

Hope it helps...

Have a great day!!

Answer:  70  and -16

==========================================================

Explanation:

For now, we'll assume x is the largest value (aka the max)

Let's sort the values from smallest to largest.

7, 20, 26, 27, 34, 41, 47, x

We see that 7 is the smallest item, so,

range = max - min = x - 7

Set this equal to 63 and solve for x

x-7 = 63

x = 63+7

x = 70

So x could be equal to 70.

---------------------------

Next, we'll assume that x is the smallest value

That means the min is x and 47 is now the max

max - min = range

47 - x = 63

-x = 63-47

-x = 16

x = -16

So if x is the smallest value, then it must be -16

----------------------------

Finally, we'll let x be somewhere between 7 and 47

Unfortunately, we can't pin down a specific value here since we could have lots of possible values. Three such examples are x = 8, x = 9, and x = 10. There are many others.

If your teacher is looking for 2 values only, then I would refer to the previous two sections and ignore this section entirely.

Answer:

h = 8 sqrt(2)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 45 = 8 / h

h sin 45 = 8

h = 8 / sin 45

h = 8 / (1 sqrt(2)

h = 8 sqrt(2)

Answer:

right answer is option D

Step-by-step explanation:

tan 45 = BC/8. ; BC - Lower side

BC = 8

h = 8sq. + 8sq = √128 = 8√2

Answer:

D makes sense. I think the answer is D.

Answer:

60

Step-by-step explanation:

Step 1:

3 x 5 = 15

Step 2:

15 x 4 = 60

Answer:

well 3. x 5 is 15, then multiply by 4 to get 60.

Step-by-step explanation: