Given that (1,-8) is on the graph of f(x), find the corresponding point for the function 1/2 f(x)

Answer:

-6x + 8(-x+6) = 6

Step-by-step explanation:

x+y = 6 => y = 6-x  ..............(1)

Substitute y (1) in

-6x+8y = 6 .......................(2)

to get

-6x + 8(6-x) = 6

or equivalently

-6x + 8(-x+6) = 6

Answer:

8

Step-by-step explanation:

Let's denote the number of members ordered chicken a, the number of members ordered beef b.

We have:

a + b = 12 (total number of members is 12)

10a + 14b = 136 (the chicken costs 10$, the beef costs 14$)

a + b = 12 => a = 12 - b

Substitute a into second equation, we have:

10(12 - b) + 14b = 136

=> 120 - 10b + 14b = 136

=> 4b = 16

=> b = 4

=> a = 12 - b = 12 - 4 = 8

=> Number of members ordered chicken: a = 8

Answer:

[tex]\boxed{\sf 43.35 \ cm}[/tex]

Step-by-step explanation:

Apply formula for the circumference of a circle.

[tex]\sf C=\pi d[/tex]

The diameter [tex]\sf d[/tex] is 13.8 cm.

[tex]\sf C=\pi (13.8)[/tex]

[tex]\sf C= 43.3539786195...[/tex]

[tex]\sf{C} \approx \sf{43.35}[/tex]

Answer:

43.4 cm

Step-by-step explanation:

Circumference of the circle = 2πr

r = radius, π = [tex]\frac{22}{7}[/tex]

f = diameter÷2

 =13.8 ÷ 2

 = 6.9

circumference = [tex]2 * \frac{22}{7} * 6.9\\[/tex]

                        = [tex]\frac{303.6}{7}[/tex]

                        = 43.37 cm or 43.4 cm

Answer:53 dresses

Step-by-step explanation:

First of all..if one kid required 2 1/4m of cloth,what about 119 1/4m of cloth?

So u take 119 1/4m of cloth and divide it by 2 1/4m of cloth.

Then change the mixed numbers into improper fractions.

So the question will be 477/4 m divided by 9/4 m.

The second improper fraction (9/4)m will be reciprocated to be (4/9)m.

Afterwards,take 477/4 m and multiply it by 4/9 m.

The result will be 53 dresses.

Answer: A

Step-by-step explanation:

They have one solution because as you look at the lines they have different slopes and different y intercepts which means it has one solution.It is not parallel to each other to have no solutions. They seems to be going to one direction and eventually they will intersect.

Answer:

Step-by-step explanation:

[tex] \mathrm{9 \div \frac{2}{3} }[/tex]

To divide by a fraction, multiply by the reciprocal of that fraction

[tex] \mathrm{ = 9 \times \frac{2}{3} }[/tex]

Calculate the product

[tex] \mathrm{ = \frac{27}{2} }[/tex]

Hope I helped!

Best regards!!

Answer:

[tex]\boxed{13\frac{1}{2} }[/tex]

Step-by-step explanation:

[tex]9 / \frac{2}{3}[/tex]

Changing "division" into "multiplication" and inverting the term after it:

[tex]9 * \frac{3}{2}[/tex]

[tex]\frac{9*3}{2}[/tex]

[tex]\frac{27}{2}[/tex]

=> [tex]13\frac{1}{2}[/tex]

How can we tell? Look at the vertical lines inside the box. This is where the median is located. For movie A, the inner vertical line is somewhere between 30 and 40 (perhaps 35 or so). So this is the median for movie A. Meanwhile, the median for movie B is somewhere between 40 and 50. I'd say maybe 46 or 47 as its a bit higher than the halfway point.

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Extra info:

Answer:

Step-by-step explanation:

To find the sales tax on a purchased or sold item, first convert the sales tax percentage into the equivalent decimal fraction.  If the sales tax rate is 5.5%, then the desired decimal fraction is 0.055.  Next, multiply the selling price of the purchased or sold item by this decimal fraction.  If, for example, the selling  price is $100, the sales tax is 0.055($100) = $5.50

Answer:

84 squared units.

Step-by-step explanation:

In order to find the surface area of the pyramid, you use the following formula:

[tex]S=b^2+\frac{1}{2}ps[/tex]           (1)

b: base of the pyramid = 6

p: perimeter of the base = 6*4 = 24

s: slant height

Then, you first calculate the slant height, by using the Pythagoras' theorem:

[tex]s=\sqrt{(5)^2-(\frac{6}{2})^2}=4[/tex]

Thus, you replace the values of b, p and s in the equation (1):

[tex]S=(6)^2+\frac{1}{2}(24)(4)=84[/tex]

The surface area of the pyramid is 84 squared units.

Answer:

Step-by-step explanation:

wrong

Answer:

The first and last answer.

Step-by-step explanation:

If you look closely at the triangles you can tell which ones are the same and which differ.

Hope this helps!! <3

Answer:

x=17

Step-by-step explanation:

7x and 2x+27 are supplementary meaning they add up to be 180 degrees.

so, 7x + 2x + 27 = 180

9x + 27 =180

9x = 153

x = 17

hope this helped

Answer:

[tex]2+i[/tex]

Step-by-step explanation:

Given the expression:

[tex]\dfrac{4+\sqrt{16-(4)(5)}}{2}[/tex]

To find:

The expression of above complex number in standard form [tex]a+bi[/tex].

Solution:

First of all, learn the concept of [tex]i[/tex] (pronounced as iota) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by [tex]i[/tex].

Value of [tex]i =\sqrt{-1}[/tex].

Now, let us consider the given expression:

[tex]\dfrac{4+\sqrt{16-(4)(5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-(4\times 5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-20}}{2}\\\Rightarrow \dfrac{4+\sqrt{-4}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)(4)}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)}\sqrt4}{2}\\\Rightarrow \dfrac{4+\sqrt4i}{2} \ \ \ \ \ (\because \sqrt{-1} =i) \\\Rightarrow \dfrac{4+2i}{2}\\\Rightarrow 2+i[/tex]

So, the given expression in standard form is [tex]2+i[/tex].

Let us compare with standard form [tex]a+bi[/tex] so we get [tex]a =2, b =1[/tex].

[tex]\therefore[/tex] The standard form of

[tex]\dfrac{4+\sqrt{16-(4)(5)}}{2}[/tex]

is: [tex]\bold{2+i}[/tex]

Answer:

no

Step-by-step explanation:

there is no factor to convert one into the other.

moreover, 19 is prime and 9 is not, so no way.

Answer:

Step-by-step explanation:

Due to the '+1', the graoph of x^2 is shifted 1 unit to the left.  The '+9' results in the entire graph being shifted downward 9 units.

Answer:

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = expected outcome of event/total outcome of event

Given the total amount of chocolate in a box = 39chocolates

Amount of nuts = 16

Mount of caramel = 13

Amount of solid chocolate = 10

If he randomly selects a nut chocolate and eat, the probability of selecting a nut chocolate = Amount of nuts/total chocolate in the box = 16/39

IF he selects a seconnd piece (caramel chocolate) and eat, the probability of selecting a caramel chocolate = Amount of caramel/total chocolate in the box = 13/39 = 1/3

The probability of selecting a nut chocolate followed by a caramel chocolate will be 16/39*1/3 = 16/117

Step-by-step explanation:

[tex]4(x-7)=0.3(x+2)+2.11\\\\Distribute\\\\4x+28=0.3(x+2)+2.11\\\\Distribute\\\\4x+28=0.3x+0.6+2.11\\\\Combine\\like\\terms\\\\4x+28=0.3x+2.71\\\\Subtract\\\\3.7x+28=2.71\\\\Subtract\\\\3.7x=-25.29\\\\Divide\\\\x=\tex{ about }6.83513514[/tex]

Hope it helps <3

Answer:

x = 83/10=8^3/10=8.3

Step-by-step explanation:

4(x − 7) = 0.3(x + 2) + 2.11

Use the distributive property to multiply 4 by x−7.

4x−28=0.3(x+2)+2.11

Use the distributive property to multiply 0.3 by x+2.

4x−28=0.3x+0.6+2.11

Add 0.6 and 2.11 to get 2.71.

4x−28=0.3x+2.71

Subtract 0.3x from both sides.

4x−28−0.3x=2.71

Combine 4x and −0.3x to get 3.7x.

3.7x−28=2.71

Add 28 to both sides.

3.7x=2.71+28

Add 2.71 and 28 to get 30.71.

3.7x=30.71

Divide both sides by 3.7.

x= 3071/370

Expand  3.7/30.71≈8.3 by multiplying both numerator and the denominator by 100.

x = 83/10

Answer:

Total amount received by Mrs Khanna will be 182.5 Rs.

Step-by-step explanation:

Cost of the potatoes = 25 Rs per kg

Cost of [tex]2\frac{1}{2}[/tex] kg potatoes = Weight of the potatoes × Per kg cost of the potatoes

= 2.5 × 25

= 62.5 Rs

Cost of onions = 30 Rs per kg

Cost of 3 kg onions = 3 × 30

                                 = 90 Rs

Per kg cost of Peas = 70 Rs

Cost of [tex]1\frac{1}{2}[/tex] kg Peas = 1.5 × 70

                               = 105 Rs

Per kg cost of Carrots = 40 Rs

Cost of [tex]1\frac{1}{2}[/tex] kg Carrots = 1.5 × 40

                                   = 60 Rs

Total amount of the vegetables = 62.5 + 90 + 105 + 60

                                                     = 317.5 Rs

Since she gave a note of 500 Rs

Balance amount she got = 500 - 317.5

                                         = 182.5 Rs

Therefore, total amount received by Mrs Khanna will be 182.5 Rs.

Answer:

D. 19

Step-by-step explanation:

because they are parallel bases you can compare

63/57 = 21/x

x = 19

Answer: D. 19

Let x by the length of CG. Since the two bases are parallel, we can create the following equation using proportions:

[tex]\dfrac{63}{21}=\dfrac{57}{x}[/tex]

Simplify left side of equation

[tex]3=\dfrac{57}{x}[/tex]

Multiply both sides by x

[tex]3x=57[/tex]

Divide both sides by 3

[tex]x=19[/tex]

Let me know if you need any clarifications, thanks!

24 and 16

Step-by-step explanation:

let's assume two part be x and (40 - x)

According to Question,

[tex] x\dfrac{1}{4} = (40 - x) \dfrac{3}{8} [/tex]

[tex] x= \dfrac{3(40 - x)}{2} [/tex]

[tex]2 \times x = 120 - 3x [/tex]

[tex]2x + 3x = 120[/tex]

[tex]5x = 120[/tex]

[tex] \cancel{5}x= \cancel{120}[/tex]

[tex]x = 24[/tex]

Hence one part is 24 and other is (40 - 24) = 16 .

Answer: 24 and 16

Step-by-step explanation:

Answer: Price of rice per gram =  $ 0.006  per gram or 0.6 cents per gram .

Step-by-step explanation:

Given: David wants to make 10 servings, where each serving has 75 grams of rice.

Total quantity of rice required = 10 x 75 = 750 grams

Overall, David spends 4.50 dollars on rice.

i.e. cost of 750 grams of rice = 4.50 dollars

Price of rice per gram =(cost of 750 grams of rice ) ÷ 750

= (4.50 dollars )  ÷ 750

=  $  0.006  per gram.

Price of rice per gram =  $ 0.006  per gram.

Answer:

0.006

Step-by-step explanation:

ehgfdcgmkmvnnrebsbhbnjrfjgnjkae

Answer:

1800cm^3

Step-by-step explanation:

l=10cm

w=10cm

h=18cm

V=l.w.h

V=10cmx10cmx18cm

V=100cm^2x18cm

V=1800cm^3

Hope this helps. ❤❤❤

Answer:

600 cm³

Step-by-step explanation:

Volume of a square-based pyramid = a² × h/3

a = 10

h = 18

10² × 18/3

100 × 6

= 600

Answer:

Degree 5

Step-by-step explanation:

Given

Degree of f(x) = 3

Degree of g(x) = 5

Required

Degree of 2f(x) + 4g(x)

2f(x) means 2 * f(x)

Since 2 is a constant

Multiplying f(x) by 2 will result in a polynomial with a degree of 3

Hence 2f(x) has a degree of 3

4g(x) means 4 * g(x)

Since 4 is also a constant

Multiplying g(x) by 4 will result in a polynomial with a degree of 5

Hence 4g(x) has a degree of 5

Having said that;

When 2 polynomials of different degrees are added together, the degree of the result will be the higher degree of both polynomials;

This means that;

Adding a polynomial of degree 3 and another of degree 5 will result in a polynomial of degree 5

Answer:  20.8 cm

Step-by-step explanation:

Notice that the corners of the squares form a line.

Set the x-axis to time and the y-axis to length of a side (not perimeter) to create coordinates.

At 0 seconds the side length is 1 --> (0, 1)

At 2.5 seconds the perimeter is 32 (side length is 32/4 = 8) --> (2.5, 8)

First, find the slope between the coordinates using    [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Let (x₁, y₁) = (0, 1) and (x₂, y₂) = (2.5, 8)

[tex]m=\dfrac{8-1}{2.5-0}\quad =\dfrac{7}{2.5}\quad =\dfrac{7}{\frac{5}{2}}\quad =\dfrac{14}{5}\quad =2.8[/tex]

Next, use the Point-Slope formula to find the equation of the line:

[tex]y-y_1=m(x-x_1)\\\\y-1=2.8(x-0)\\\\y=2.8x+1[/tex]

Lastly, find the side length (y) when x = 1.5

y = 2.8(1.5)x + 1

  = 4.2 + 1

  = 5.2

Perimeter of a square = 4 times the side length

P = 4(5.2)

  = 20.8

Answer:

14%

Step-by-step explanation:

If the percentage of boys wearing polo shirts were boys, then the rest has to be girls. So 100%-80%=20%. However, we are not done here.

We have only figured out the percentage of girls out of the total number of people wearing polo shirts. We want to find the percentage of girls wearing polo shirts out of the whole school. To do that, we multiply 20% by 70%, since 20% of the polo shirt wearers were girls, and 70% of the entire student body is wearing a polo shirt.

Multiplying those two together gets you 14%.

Answer:

14%

Step-by-step explanation:

Answer:

A(ABCD) ≈ 17.285 cm²

Step-by-step explanation:

A = √s(s - a)(s - b)(s - c)

s = (a + b + c)/2

a ; b ; c = the sides of the triangle

s = (AB + BC + AC)/2 = (5cm + 4.5cm + 6.5cm)/2 = 16cm/2 = 8 cm

A(ABC) = √8(8 - 5)(8 - 4.5)(8 - 6.5)

= √8×3×3.5×1.5

= √126

≈ 11.225 cm²

     2. A(ACD) = √s(s - AC)(s - CD)(s - AD)

s = (AC + CD + AD)/2 = (6.5cm + 3.5cm + 4cm)/2 = 14cm/2 = 7 cm

A(ACD) = √7(7 - 6.5)(7 - 3.5)(7 - 4)

= √7×0.5×3.5×3

= √36.75

≈ 6.060 cm²

     3. A(ABCD) = 11.225cm² + 6.060cm² = 17.285 cm²

Answer:

- (x - 3y)(3x + y)

Step-by-step explanation:

Given

(x + 2y)² - (2x - y)² ← expand both parenthesis using FOIL

= x² + 4xy + 4y² - (4x² - 4xy + y²) ← distribute

= x² + 4xy + 4y² - 4x² + 4xy - y² ← collect like terms

= - 3x² + 8xy + 3y² ← factor out - 1 from each term

= - 1(3x² - 8xy - 3y²) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the coefficient of the y² term which sum to give the coefficient of the xy- term.

product = 3 × - 3 = - 9 and sum = - 8

The factors are - 9 and + 1

Use these factors to split the xy- term

3x² - 9xy + xy - 3y² ( factor the first/second and third/fourth terms )

= 3x(x - 3y) + y(x - 3y) ← factor out (x - 3y) from each term

= (x - 3y)(3x + y)

Thus

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

Answer:

49453757

Step-by-step explanation:

Answer:

49453757

Step-by-step explanation:

Dont forget to rate and thanks!

Answer:

2x-11

Step-by-step explanation:

2 x X = 2x + 11

Answer:

(1/2)x + (1/4)y <= 200

Step-by-step explanation:

If

x = # of lbs of House blend he makes/sells a day

y = # of lbs of Exotic blend he makes/sells a day

then constraints are

(1/2)x + (1/4)y <= 200  ....................(1)

x+y <= 530  .....................................(2)

The exact answer choices are not very clear from the question, but either (or both) (1) or (2) must be one of them.  If not, please edit question or add a comment to show the answer choices.

Answer:

D. 1.3

Step-by-step explanation:

Perimeter (square) = 4*side

4 = 4*side

side = 1

We have triangle QVR. QV is a hypotenuse.

If we look at the triangle QTR, QT is a hypotenuse.

QV should be less than QT.

Let's find QT using Pythagorean theorem.

c² = a² + b²

QT² = QR² + RT² = 1² + 1² = 2

QT = √2 ≈ 1.4

QV < QT

QV < 1.4

We have 1.3 and 1 that are less than 1.4, but 1 is a length of a leg of the triangle, so 1 is impossible.

Answer D. 1.3