Stephen and Bridget are marking exam papers. Each set takes Stephen 71 minutes and Bridget 2 hours. Express the times Stephen and Bridget take as a ratio in its simplest form.

Answer:

(f * g)(x) = 2(x²) + 4

Step-by-step explanation:

Explanation:-

let f(x) = 2 x, g(x) = x² + 2, and h(x) = 4 x +3

(f * g)(x)  = f(g(x)) = f(x² + 2)

                           = 2(x² + 2)

                           = 2(x²) + 4

final answer:-

(f * g)(x) = 2(x²) + 4

Answer:

1) [tex]\frac{3}{7} = \frac{15}{35}[/tex]

2) [tex]\frac{64}{48}=\frac{4}{3}[/tex]

3) [tex]\frac{21}{56}=\frac{3}{8}[/tex]

Step-by-step explanation:

ESTAS SON FRACCIPONES EQUIVALENTES

1. 3(35)/7 = 15 ENTONCES 15/35

2. 48(4)/3 = 64 ENTONCES 64/48

3. 56(3)/21 = 8 ENTONCES 3/8

The range is all the possible y values, so the set with all the arrows.

Answer: B. {3,9,12}

Answer:

B

Step-by-step explanation:

The range means the y coordinates or output

In this the output are the numbers on the right.

We can also find the answer by eliminating.

Option A could not be the answer because it is only one of the numbers from the range.

Option B is the answer because it includes all the numbers from the range.

Option C and Option D could not be the answer because they include other numbers from the domain (which we are not trying to find).

This is an example here below

Hope this helped!!

Answer:

Undefined when x = -9

Step-by-step explanation:

(2x-15)/ (x+9)

This would be undefined when the denominator is 0

x+9 =0

x = -9

Answer:

0.125 m²

Step-by-step explanation:

The area of a rectangle is the product of its length and breadth. Therefore:

area of the rectangle = length (l) × breadth (b) = 1 m².

l × b = 1

A triangle is cut off from that rectangle along a line connecting the midpoints of two adjacent sides, therefore the base of the triangle = length of rectangle/2 and the height of triangle = breadth of rectangle/2.

Area of triangle = 1/2(base × height) = [tex]\frac{1}{2}*\frac{l}{2}*\frac{b}{2}=\frac{1}{8}lb[/tex]

since lb = 1:

Area of triangle = [tex]\frac{1}{8}*1=0.125m^2[/tex]

Answer:

AC = 4DB

Step-by-step explanation:

see attachment

Given that B is the midpoint of AC, this means that AB≅BC.

Also, D is the midpoint of AB, therefore AD≅DB.

This shows that AD is 1/4 of the length of AC, since it is 1/2 of the length (1/2 x 1/2 = 1/4).  DB is the same length, since it is congruent to AD.

Thus, AC = 4DB.

Answer:

B. AC = 4DB

May I have brainliest please? :)

Answer:

what is the question I do not understand

Answer:

Step-by-step explanation:

We are to show that [tex]\sqrt{3} cosec140^{0} - sec140^{0} = 4\\[/tex]

Proof:

From trigonometry identity;

[tex]cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}[/tex]

[tex]\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\[/tex]

From trigonometry, 2sinAcosA = Sin2A

[tex]= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\= \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2 \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}[/tex]

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

[tex]\frac{4(sin(420-140)) }{sin280}[/tex]

= [tex]\frac{4sin280}{sin280}\\ = 4 \ Proved![/tex]

Answer:

C. Both f(x) and its inverse function intersect at point (2, 2).

Step-by-step explanation:

First of all, let's begin defining f(x) = y.

Since the linear function f(x) intersects at

• 6 on the y-axis; and

• 3 on the x-axis;

we can deduce the following equation:

6x + 3y = 6(3)

6x + 3y = 18

3y = -6x + 18

y = -6x/3 + 18/3

y = -2x + 6

f(x) = -2x + 6

Then, we'd want to find the inverse of f(x), which is f`¹(x).

f(x) = -2x + 6

y = -2x + 6

Interchange the variable y to x and vice versa.

x = -2y + 6

2y = -x + 6

y = (-1/2)x + 3

f`¹(x) = (-1/2)x + 3

Since both f(x) and its inverse function are equal to y, set them both as equal.

f(x) = f`¹(x)

-2x + 6 = (-1/2)x + 3

-2x + (1/2)x = 3 - 6

(-3/2)x = -3

x = 2

Substitute x = 2 into y = -2x + 6.

y = -2(2) + 6

y = -4 + 6

y = 2

Now that we know x = 2 and y = 2, then the intersection point of (x, y) must be (2, 2).

I hope this helps! Sorry if my English didn't really help with giving a clearer explanation.

Answer

Step-by-step explanation:

Law of sines: SinB/15 = SinA/BC

B = 90

A = 180-90-21=69°

BC= (15*SinA)/SinB = (15*sin69)/1 ≈ 14m

Answer:

Num certo bairro da cidade de Beira após o ciclone Idai, 120 voluntários trabalhavam de

manhã, 130 trabalhavam à tarde, 80 trabalhavam à noite, 60 trabalhavam de manhã e a

tarde, 50 trabalhavam de manhã e a noite, 40 trabalhavam à tarde e a noite e 20

trabalhavam nos três períodos.

(a) Quantos voluntários trabalhavam em 2 períodos?

(b) Quantos voluntários tem o bairro?

(c) Quantos voluntários não trabalhavam á tarde?

(d) Quantos voluntários trabalhavam só de manhã?

Step-by-step explanation:

Answer:

115

Step-by-step explanation:

4*2+8(2) = 24

31

7(2)+30 = 44

3*2-5(2)+20 = 6-10+20 = -4+20 = 16

24+31+44+16

115      

Answer:

a = -1,6 b = 1,11 c = 4,11 .

Answer:

y=5

Step-by-step explanation:

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

WY is the perpendicular bisector of XZ.

2x + 3 = 3x - 5

x = 8

5y - 2y = 7 + 8

y = 5

The value of y is 5

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

WY is the perpendicular bisector of XZ.

We see that,

2x + 3 = 3x - 5

3x - 2x = 3 + 5

x = 8

Now,

We have two right triangles.

∠WXY

WY² = WX² + XY² _____(1)

∠WYZ

WY² = WZ² + YZ² ______(2)

From (1) and (2) we get,

WX² + XY² = WZ² + YZ²

(2y + 7)² + (2x + 3)² = (5y - 8)² + (2x + 3)²

(2y + 7)²  = (5y - 8)²

2y + 7 = 5y - 8

5y - 2y = 7 + 8

3y = 15

y = 5

Thus,

The value of y is 5

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ5

Answer:

the answer is => c = 5

...

Answer:

y= 201/40

Step-by-step explanation:

y=k (x÷z)

5 = (3÷4)k

cross multiply

20=3k

k= 6.7 or 67÷10

y = 6.7 (x÷z) the law

y = (6÷8) × 6.7

y = 0.75 ×6.7

y= 5.025 or 201÷40

Answer:

24

Step-by-step explanation:

whatever you add or divide to the numerator, you do to the denominator. the same occurs the other way round,too.

If 11 is multiplied by 6 to give 66.

then, 4 should also be multiplied by 6, for the equivalent fraction. This gives you 24.

Hope this helps. Good Luck

The missing number is 24.

please see the attached picture for full solution

Hope this helps..

Good luck on your assignment..

Which question are you talking about? I mean that why is there no attachment / image of your question? How do we know what is the question?So could you pls complete your question? :)

Answer:

(1, - 12 )

Step-by-step explanation:

Given the graph of f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus f(x) - 4 represents a shift down of 4 units, that is

(1, - -8 ) → (1, - 8 - 4 ) → (1, - 12 )

Answer:

The material cost for December = $356,000

Step-by-step explanation:

The manufacturing overhead is the sum of the indirect costs that come from the manufacturing process except labor and materials

Hence, whereby the cost per liter = $0.47, we have;

Total volume produced = 4.0 million liters

Manufacturing overhead = $1,435,000

Total cost = Cost per liter × Total volume produced

∴ Total cost = 4 × 10⁶ × $0.47 = $1,880,000

Hence the cost of labor + materials = Total cost - Manufacturing overhead

the cost of labor + materials = $1,880,000 - $1,435,000 = $445,000

Labor cost = 25% material cost = 0.25 × material cost

∴ 0.25 × material cost + material cost = $445,000

1.25 × material cost = $445,000

material cost = $445,000/1.25 = $356,000

Which gives labor cost = 0.25 × $356,000 = $89,000

The material cost for December = $356,000.

Answer:

210

Step-by-step explanation:

There are 7 * 6 * 5 ways to finish. This is because we have 3 slots:

For 1st place, there are 7 people that could take that place, so we have 7

For 2nd place, there are 6 people, because one person already took 1st, so they cant be second as well.

For 3rd place, there are 5 people, because 2 people already took first and second place, and neither of them can be third then.

So we have:

7*6*5 = 210

Answer:

210 ways

Step-by-step explanation:

For 1 st place there are 7 different runners

Now there are only 6 options

For 2nd place there are 6 different runners

Now there are only 5 options

For 3rd place there are 5 different runners

7*6*5

Answer:

hope this helps you

Answer:

ED ≈ 2.6 units

Step-by-step explanation:

Using the Sine rule in Δ DEF

[tex]\frac{FD}{sin115}[/tex] = [tex]\frac{ED}{sin20}[/tex]

[tex]\frac{6.95}{sin115}[/tex] = [tex]\frac{ED}{sin20}[/tex] ( cross- multiply )

ED sin115° = 6.95 sin20° ( divide both sides by sin115° )

ED = [tex]\frac{6.95sin20}{sin115}[/tex] ≈ 2.6 ( to the nearest tenth )

Answer:

it will take 3 sticks to make pattern n

_

| |

Answer:

0

Step-by-step explanation:

Basically the function has no "x" value so it is 0. X could be anything but in the function "x" is not even present so probably 0

Answer:

The answer would be 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

Step-by-step explanation:

Not sure but I think it is!

Answer:

labron james

Step-by-step explanation:labron james labron james labron james

Answer:7c

Step-by-step explanation:

idk.

Answer:

a) The line will be y = 15x + 99 because the 99 is a one time purchase.

b) After 1 year, x will be 12 so Muscular Marty will pay 15 * 12 + 99 = $279.

Answer:

a) y = 99 + 15x

b) 279

Step-by-step explanation:

b) 1 yr = 12 months

thus x is 12

y = 99 + 15(12) = 99 + 180 = 279

Answer:

(16,14)

Step-by-step explanation:

Dilation is increasing/decreasing something by a factor. The shape remains the same; it's just bigger or smaller.

This shape is a square, so all lines are the same length. Find the distance between C and D (it can honestly be any adjacent points). The distance is 6. You can usually use the distance formula, but since C and D have the same y-coordinate, you can just do |x2-x1|. Since you're multiplying by 2, the new distance should be 12. Since the y-coordinate of A' is 14, the y-coordinate of B is also 14. The x-coordinate should be 12 units away from the new A' (which is (4,14)). B is (16, 14)

Answer:

To dilate from the origin, you would need to multiply each coordinate by 2. For example, for A(2*2,7*2). After you do that to each coordinate, plot the points on a graph(by hand or using Desmos). Then, since it is a square determine point B by counting a certain number of units away from another point. A square has four congruent sides.

Answer:

Step-by-step explanation:

What we do is to divide 1500 by 4 = $1500/4 = $375

Answer:375

Step-by-step explanation:

1500/4=375

Answer:

It's B

Step-by-step explanation:

Because you see a reflection would show the traingle flipped translation would mean the traingle is in a totally different space and rotation would mean the shape is rotated and so B is left and so B is the correct answer.