What is the domain of the function graphed below?

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:

3c+  2=  -22

⇔3c = -22 -2

⇔3c = -24

⇔c=  -24/3

⇔c=- 8

Answer:

3c= -22-2

3c= -24

c= -24/3

c= -8

Step-by-step explanation:

Answer:

[tex]x=5[/tex]  ⇒  [tex](x-5)=0[/tex]

[tex]x=-1[/tex]  ⇒[tex](x+1)=0[/tex]

[tex]x=-1/4[/tex] ⇒ [tex](x+1/4)=0[/tex] ⇒ [tex](4x+1)=0[/tex]

[tex]p(x)=(x-5)(x+1)(4x+1)=0[/tex]

[tex]Option(B)[/tex]

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

Hope it helps...

Have a great day!!

Answer:

p(x) =  (x-5) (x+1)(4x+1)

Step-by-step explanation:

We know the equation for a polynomial with zeros is written as

f(x) = a( x-b1) (x-b2)...... where b are the zeros

We have zeros x = 5, x = -1, and x = -1/4

p(x) = a( x-5) (x- -1) (x - -1/4)

p(x) = a (x-5) (x+1) (x+1/4)

Let a = 4

p(x) = 4 (x-5) (x+1) (x+1/4)

p(x) =  (x-5) (x+1)(4x+1)

Answer:

y = 95

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

y+25 = 120

y = 120-25

y = 95

Answer:

xy+2x+3y+6=xy-5 .............(1)

xy-3x+2y-6=xy.....,.,(2)

2x+3y=-11

-4x+2y=6

first equation multiply by 2

(2)*(2x+3y)=-11

4x+6y=-22

-4x+2y=6

8y=-16 y=(-2),,,,, x=(-2,5)

Given that,

→ She wants to bake 48 cupcakes.

We have to find,

The number of trays of cupcakes she will need to bake.

The formula we use,

→ No. of cupcakes ÷ One dozen

Then we can divide,

→ 48 ÷ 12

→ 4 trays

Thus, none of the option is correct.

Area of first rectangle= 5×2=10units

Area of second rectangle= 3×2= 6 units

Area of third rectangle = 5×2= 10 units

Now,

Total area of figure = 10+6+10= 26units✓

Answer:

26

Step-by-step explanation:

we want to figure out the area of the composite figure notice that the composite figure contains three rectangles therefore in order to find the area of the composite figure we need find the area of the rectangles first

finding the area of the first & last rectangles:

the first and last rectangles are congruent therefore they will have the same area thus

[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = l \times w[/tex]

from the figure we obtain:

thus substitute:

[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = 5\times 2[/tex]

simplify multiplication:

[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = 10[/tex]

finding the area of the middle rectangle:

the middle rectangle has a length and width of 3 and 2 respectively Thus

[tex] \displaystyle A _{ \rm 2)rect} =3 \times 2[/tex]

simplify multiplication:

[tex] \displaystyle A _{ \rm 2)rect} =6[/tex]

finding the area of the composite figure:

[tex] \rm \displaystyle A _{ \rm composite} = A _{ \rm 1)rect} + A _{ \rm 2)rect} + A _{ \rm 3)rect} [/tex]

substitute what we got:

[tex] \rm \displaystyle A _{ \rm composite} = 10 + 6 + 10[/tex]

simplify addition:

[tex] \rm \displaystyle A _{ \rm composite} = \boxed{ 26}[/tex]

hence,

the answer is 26 square units

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:

75%

Step-by-step explanation:

A percent is a value out of 100.

Change the fraction [tex]\frac{3}{4}[/tex] to an equivalent fraction with the denominator equal to 100.

[tex]\frac{3}{4}[/tex] × [tex]\frac{25}{25}[/tex] = [tex]\frac{75}{100}[/tex]

This fraction represents a percent.

[tex]\frac{75}{100}[/tex] = 75%

Answer:

f(6) = -114

Step-by-step explanation:

f(x) = -4x² + 5x

f(6) = -4(6)² + 5(6)

f(6) = -4(36) + 30

f(6) = -114 + 30

f(6) = -114

Answer:

-114

Step-by-step explanation:

to evaluate the function f(x) to find f(6) means to substitute x by 6

f(x) = -4x² +5x

f(6) = -4*6² +5*6

f(6) = -144 + 30

f(6) = -114

Answer:

( 10 m n^3) ^2

Step-by-step explanation:

100 m^2 n^6

Break into pieces

What number times itself gives 100

10*10 = 100

m*m = m^2

n*n*n*n*n*n = n^6  Breaking into two parts

n^3 * n^3 = n^6

( 10 m n^3) ^2

Answer:

[tex](10mn^3)^2[/tex]

Step-by-step explanation:

The square root of 100 is 10.

Divide the exponents of [tex]m^2 n^6[/tex] by 2.

You get: [tex]mn^3[/tex]

Put them together and add on the ^2

You get [tex](10mn^3)^2[/tex]

I hope this helps!

Answer:

[tex]\frac{1}{x} =\frac{1}{3\sqrt{8} } =\frac{1(\sqrt{8})}{3\sqrt{8}(\sqrt{8})} =\frac{\sqrt{8}}{3*8} =\frac{\sqrt{8}}{24} =\frac{\sqrt{(2)(2)(2)}}{24}=\frac{2\sqrt{2} }{2(12)} =\frac{\sqrt{2} }{12}[/tex]

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)

Respuesta:

5.101 × 10⁸ km²

Explicación:

Primer paso: Información provista

Radio del planeta Tierra (r): 6371 km

Paso 2: Calcular el área del planeta Tierra

Si suponemos que el planeta Tierra tiene forma esférica, podemos calcular su área (A) usando la siguiente fórmula.

A = 4 × π × r²

A = 4 × π × (6371 km)² = 5.101 × 10⁸ km²

Answer:

Combine like terms

-4b + 8c + 12 - 8b -2c

-4b - 8b + 8c - 2c + 12

-12b + 6c + 12

6(-2b + c + 2)

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:

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:

800

Step-by-step explanation:

9.28 is answer of cube 800

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:

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

Answer:

2/18

Step-by-step explanation:

Answer:

(x+6)^2 + ( y +3)^2 = 144

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 +(y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x- -6)^2 + ( y - -3)^2 = 12^2

(x+6)^2 + ( y +3)^2 = 144

Answer:

x² + y² + 12x +6y - 99 = 0

Step-by-step explanation:

Given :

Using the Standard equation of circle ,

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:

[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:

The total earnings of Carey  in t tours is 12 t - 2 .  

Step-by-step explanation:

For each hour he babysits, Anderson earns $1 more than half of Carey's hourly rate. Anderson earns $6 per hour. Which equation can be used to solve for Carey's hourly rate, c? 18 + ?T = 24 What number should be the coefficient of t?

Anderson earns $1 more than half of Carey's hourly rate.

Anderson hourly rate = $ 6

Let Carey's hourly rate is p. Let the time is t hours.

So, Anderson rate is

[tex]6 t = \frac{p t}{2} +1\\\\2\times 6 t = p t + 2 \\\\p t = 12 t - 2[/tex]

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:

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:

11.59 centimeters

Step-by-step explanation:

Use the formula for the surface area of a rectangular prism: A = 2(wl + hl + hw)

Plug in the surface area, length, and width. Then, solve for h:

A = 2(wl + hl + hw)

467 = 2((4)(12) + h(12) + h(4))

467 = 2(48 + 12h + 4h)

467 = 2(48 + 16h)

467 = 96 + 32h

371 = 32h

11.59 = h

So, the height of the prism is approximately 11.59 centimeters

Answer:2.1136848

Step-by-step explanation:

Answer:

0.00211368479

Step-by-step explanation:

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