How would I graph this?

Answer:

Vertex: ( − 2 , 3 ) Axis of Symmetry: x = − 2 Domain: R Range: R ≥ 3

Step-by-step explanation:

Explanation:

The "vertex form" for a parabola is XXX g ( x ) = m ( x − a ) 2 + b XXXXXX with the vertex at ( a , b ) To convert g ( x ) = 3 x 2 + 12 x + 15 into "vertex form" Extract the m XXX g ( x ) = 3 ( x 2 + 4 x ) + 15 Complete the square XXX g ( x ) = 3 ( x 2 + 4 x + 2 2 ) + 15 − 3 ( 2 2 ) XXX g ( x ) = 3 ( x + 2 ) 2 + 3 In complete vertex form: XXX g ( x ) = 3 ( x − ( − 2 ) ) 2 + 3 with the vertex at ( − 2 , 3 ) The equation is of the form for a parabola with a vertical axis of symmetry opening upward and since the axis of symmetry passes through the vertex, the axis of symmetry is x = − 2 g ( x ) = 3 x 2 + 12 x + 15 is defined for all Real values of x , therefore the Domain is x ∈ R . g ( x ) has values for all points at or above the vertex, therefore the Range is g ( x ) ∈ R ≥ 3 graph{3x^2+12x+15 [-7.85, 6.196, -0.84, 6.186]

Answer:

40%, 40%

Step-by-step explanation:

The % of shoppers that have an email account is

= 100 • (45+15)/150

= 40%

Same thing happens with the second question.

= 100•(45+15)/150

= 40%

[tex]\neq \lim_{n \to \infty} a_n \pi x_{123} \alpha[/tex]Answer:

Step-by-step explanation:

There are 3 boxes. The formula for volume is lxhxw, (length x height x width)

When tangent TA is parallel to KM, it can be proved that KS = MS since they're congruent.

It should be noted that when the tangent line TA is parallel to chord KM, it simply means that segment KS and MS are congruent.

Therefore, since they're congruent, SKM and SMK are equal. By the theorem of inscribed angle, we will have:

SKM = 1/2m(MS)

SKM = 1/2m(KS).

Since SKM = SMK

1/2m(MS) = 1/2m(KS).

MS = KS

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[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$\stackrel{12000~~ + ~~1200}{13200}\\ P=\textit{original amount deposited}\dotfill &\$12000\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &1.8 \end{cases}[/tex]

[tex]13200=12000\left(1+\frac{~\frac{r}{100}~}{1}\right)^{1\cdot 1.8}\implies \cfrac{13200}{12000}=\left( 1+\cfrac{r}{100} \right)^{1.8} \\\\\\ \cfrac{11}{10}=\left(\cfrac{100 + r}{100} \right)^{1.8}\implies \cfrac{11}{10}=\left(\cfrac{100 + r}{100} \right)^{\frac{9}{5}} \\\\\\ \left( \cfrac{11}{10} \right)^{\frac{5}{9}}=\left[ \left(\cfrac{100 + r}{100} \right)^{\frac{9}{5}} \right]^{\frac{5}{9}}\implies \left( \cfrac{11}{10} \right)^{\frac{5}{9}}=\cfrac{100+r}{100}[/tex]

[tex]\sqrt[9]{\left( \cfrac{11}{10} \right)^5}=\cfrac{100+r}{100}\implies 100\sqrt[9]{\left( \cfrac{11}{10} \right)^5}=100+r \\\\\\ 100\sqrt[9]{\left( \cfrac{11}{10} \right)^5}-100 = r\implies 5.44\approx r[/tex]

Draw a box between the first quartile; third quartile

Answer:

No

Step-by-step explanation:

Plugging in n=0 into the equation gets us:

7(0) = 7

0 = 7

This says that 0 = 7 which is not true

Answer:

e. $44.20

Step-by-step explanation:

1. add all of the percentages together and subtract them by 100. this will give the percentage she wasted on food: 17%

2. convert 17% into a decimal: .17

3. multiply 260 by .17 this should give you 44.2

Answer:

3

Step-by-step explanation:

3 to get to 15, multiply by 3, same for other sides.

Answer:

C

Step-by-step explanation:

9 divided by 3 is 3, 15 divided by 5 is 3, and 12 divided by 4 is 3. it all adds up to three

Answer:

Guessing you want me to figure out what your cost should have been. On it!

Step-by-step explanation:

130 * .15 = 19.5

130 - 19.5 = $110.5

That should be the new cost.

The price of the thing after applying 15% discount is $110.50.

Percentage is a measurement to find value of given number out of hundred.

Given that,

The price at which thing is purchased = $130.

Since, The salesperson forgot to give a discount of 15%.

The discounted price = 130 x 15 %

= 130 x 15/100

= 1950/100

= $19.5

The price after discount = 130 - 19.5 = 110.5

The required price after discount is $110.5.

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Answer:

It will take 7 weeks for Sophie to catch up to Pete. Both of them will each have completed 48 missions.

Step-by-step explanation:

27 + 3x = 13 + 5x

27 + 3x - 3x = 13 + 5x - 3x

27 = 13 + 2x

27 - 13 = 13 + 2x - 13

14 = 2x

x = 7

27 + 3x

27 + 3(7)

27 + 21

48

13 + 5x

13 + 5(7)

13 + 35

48

Answer:

6

Step-by-step explanation:

There is no perfect square root of 40 but when calculated it would be 6.33 which rounds down to 6.

The logic network to control the lights on the staircase; has been designed as seen below.

The truth table for the required response of the question is;

SWITCH A        SWITCH B         SWITCH C            Y

0(OFF)               0(OFF)               0(OFF)               0(OFF)

0(OFF)               1(ON)                  1(ON)                 1(ON)

1(ON)                  0(OFF)               1(ON)                 1(ON)

1(ON)                  1(ON)                  0(OFF)              1(ON)

1(ON)                  1(ON)                  1(ON)                0(OFF)

The expression for the output Y in SOP form will be;

A ⊕ B ⊕ C = A⁻B⁻C + AB⁻C⁻ + A⁻BC⁻

That's the output expression for the XOR gate.

Thus, we can conclude that in the staircase wiring, higher output is obtained when two out of three of the inputs are different.

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Answer:

E

Step-by-step explanation:

if the x value or y value is 0 the equation is undefined

Answer:

42qt

Step-by-step explanation:

First, multiply 2 x 3 x 7

2 x 3 = 6

6 x 7 = 42

Second, q x t

Qt

Third, put together

42qt

Answer:

(-6,-4)

(-2,-4)

Step-by-step explanation:

Step 1. Plot points

Step 2. Reflection over x-axis (make "y" negative)

Reflection:

(-6,4) --> (-6,-4)

(-2,4) --> (-2,-4)

Answer:

18 inches is equal to 46 CM rounding or 45.72 CM without rounding.

Please mark brainliest if this helped you :)

Step-by-step explanation:

Answer:

254.34 mm²

Step-by-step explanation:

Diameter (d) = 18 mm

Radius (r) = d/2 = 18/2 = 9 mm

π = 3.14

Area of the circle

= πr²

= (3.14)(9)²

= 3.14 × 81

= 254.34 mm²

____________

Hope it helps ⚜

diameter= 18mm

the area of the circle

[tex]area = \frac{1}{4} \pi {d}^{2} [/tex]

[tex]a = \frac{1}{4} \times \pi \times {18}^{2} [/tex]

[tex]a = 254.469 \: {mm}^{2} [/tex]

hence, the area of the circle is 254.469 square millimeters.

Answer:

136

Step-by-step explanation:

First you multiply 7•5 which is 35, and sense there is 2 squares with that unit, you multiply 35•2 which is 70. After that you get the middle value by multiplying 6•7, which is 42. Then you add 42+70, and that's 112. Now you have to find the area of the triangle, so you multiply 6•4, and that's 24, but sense there are 2 of them with the same unit you don't need to divide by 2. Then after that you add 112+24 and the total area is 136

Answer:

  136 square units

Step-by-step explanation:

A "net" is a map of the surfaces of the prism. If you cut it out and fold along the solid lines, you can shape it into the triangular prism it represents. The area of the net is the area of the prism.

As with any composite figure, its area can be found by decomposing it into parts whose area formulas you know. Here, the net can be cut along the horizontal lines to form a rectangle and two triangles.

__

The rectangle has an overall length of 5+6+5 = 16 units, and a width of 7 units. Its area is ...

  A = LW

  A = (16)(7) = 112 . . . . square units

Each triangle has a base of 6 units and a height of 4 units. Its area is ...

  A = 1/2bh

  A = 1/2(6)(4) = 12 . . . . square units

The composite figure shown has been decomposed into one rectangle and two triangles, so its total area is ...

  rectangle area + 2 × triangle area

  = 112 + 2×12 = 136 . . . . square units

The surface area of the triangular prism is 136 square units.

Assuming $34.50 is the price after the 8% price increase, we can set up this equation (if 34.50 is the old price, scroll down):

34.50=[tex]\frac{108}{100} x[/tex]
Where x ( or 100/100 x) is the original price.
We can simply the fraction, or just multiply by 100 on both sides.

3450=108x

x=31.9444 (4 repeating).

If the old price is 34.50, then we can set up this equation:

34.50+ [tex](\frac{8}{100} *34.50)[/tex] = x

34.5 + 2.76 = x

x = 37.26

The new selling price would be $37.26.

The area of the lot with a shape of a parallelogram if its base measures 20 meters and the distance given is 160m².

Area of a parallelogram will be:

= Base × Height

= 20 × 8

= 160m²

The area of the triangular landscape that has a base of 24 meters and a height of 12 meters will be:

= 1/2 × base × height

= 1/2 × 24 × 12

= 144m²

The area of the trapezium will be:

= 1/2 × (a + b) × h

= 1/2 × (16 + 30) × 10

= 1/2 × 46 × 10

= 230m²

The area of the rectangular banner has a length of 5 meters and a width of 3 meters will be:

= Length × Width

= 5 × 3

= 15m²

The area of a soccer ground square in shape with a side of 8 meters will be:

= 8 × 8

= 64m²

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Answer:

(- 1, - 3 )

Step-by-step explanation:

the coordinates of the midpoint are the average of the coordinates of the endpoints, then

midpoint = ([tex]\frac{4-6}{2}[/tex], [tex]\frac{2-8}{2}[/tex] ) = ( [tex]\frac{-2}{2}[/tex], [tex]\frac{-6}{2}[/tex] ) = (- 1, - 3 )

Answer:

178

Step-by-step explanation:

Perimeter = distance all the way around the outside of a 2D shape

Missing vertical length = 45 - 14 - 17 = 14

Missing horiztonal length = 44 - 8 - 29 = 7

⇒ perimeter = 45 + 8 + 17 + 29 + (45 - 14 - 17) + (44 - 8 - 29) + 14 + 44

                     = 45 + 8 + 17 + 29 + 14 + 7 + 14 + 44

                     = 178

Answer:

First finding the perimeter of rectangle

Step-by-step explanation:

Which is 2(17+8)=2(25)=50

Now finding the perimeter of next rectangle

Which is 2(45+29) = 2 (74) =148

Now finding the perimeter of next rectangle

Which is 2(44+14)=2(58)=116

Adding them up we get 116 + 50 +148=314

178 is the correct answer however

I do not why 178 is correct

Answer:

The value of x = 3.5 or -4

Step-by-step explanation:

=> 2x² = 28 – x

=> 2x²+ x - 28 = 0

=> 2x² + 8x - 7x - 28 = 0

=> 2x ( x + 4 ) - 7 ( x + 4 ) = 0

=> (2x - 7 ) ( x + 4 )

=> x = 7/2 = 3.5 or x = -4

Answer:

x = –4 or x = 3.5

Step-by-step explanation:

[tex]2x^{2}=28-x\Longleftrightarrow 2x^{2}+x-28=0[/tex]

                    [tex]\Longleftrightarrow 2x^{2}-7x+8x-28=0[/tex]

                    [tex]\Longleftrightarrow x(2x-7)+4(2x-7)=0[/tex]

                    [tex]\Longleftrightarrow (2x-7)(x+4)=0 \ \ \ \ \text{factor out} \left( 2x-7\right)[/tex]

                    [tex]\Longleftrightarrow 2x-7=0 \ \ or\ x+4=0\ \ \ \ \text{(zero product rule)}[/tex]              

                    [tex]\Longleftrightarrow x=\frac{7}{2} \ \ or\ x=-4[/tex]

[tex]xy = \frac{x}{3} + 5\\x = 6\\(6)y = \frac{(6)}{3} + 5\\6y = 2 + 5 = 7\\y = \frac{7}{6}[/tex]

Answer:

x=26

Step-by-step explanation:

Since they are complementary

2x+38⁰=90⁰

2x=90⁰-38⁰

2x=52⁰

x=26⁰

I hope it helped you

Answer:

Step-by-step explanation:

This is self-explanatory, We just need to find the value of x by doing this:

Brainliest please. I didn't get one on this account.

Answer:

9 Part-time employees

36 full-time employee

Step-by-step explanation:

20% multiply by 45 = 9

80% multioly by 45 =36

therefore to check if your answers are correct add 9 + 36 which gives you 45, the total number of employees in each company's four department.

Answer:

The company has 144 full-time employees and 36 part-time employees.

Step-by-step explanation:

The company has 144 full-time employees and 36 part-time employees because you have to do .20*45 to get 9 part-time employees per department. Then you can do 45-9 to get 36 full-time employees per department or you can do .8*45, either way is fine. Then you have to multiply 36 by 4 and 9 by 4 to get 144 full-time employees and 36 part-time employees.

Answer:

k = 15

Step-by-step explanation:

k + 45 = 60

k = 60 - 45

k = 15