y=-1/14x+33/14 in standard form

Answer: 9/15 < 10/15

Step-by-step explanation: 9/15 < 10/15

Answer:

Y=-1

Step-by-step explanation:

Substitute 30 into x, now the equation is

y = 14 -0.5(30)

Now solve the RHS for the answer.

y = -1

Part 1: Operations of Functions

1. Given f(x) = x² + 7x + 12 and g(x) = x² - 9, we can perform the operations as follows:

(a) (f + g)(x):

(f + g)(x) = f(x) + g(x)

          = (x² + 7x + 12) + (x² - 9)

          = 2x² + 7x + 3

(b) (f - g)(x):

(f - g)(x) = f(x) - g(x)

          = (x² + 7x + 12) - (x² - 9)

          = 16x + 21

(c) (-9)(x):

(-9)(x) = -9x

(d) ((x):

((x) is not specified. Please provide the correct function to perform the operation.

2. Given f(x) = 2x + 1 and g(x) = x - 3, we can perform the operations as follows:

(a) (f + g)(x):

(f + g)(x) = f(x) + g(x)

          = (2x + 1) + (x - 3)

          = 3x - 2

(b) (f - g)(x):

(f - g)(x) = f(x) - g(x)

          = (2x + 1) - (x - 3)

          = x + 4

(c) (f * g)(x):

(f * g)(x) is not specified. Please provide the correct operation to perform.

(d) ()(x) is not specified. Please provide the correct function to perform the operation.

Part 2: Compositions of Functions

3. Given f(x) = x², g(x) = 5x, and h(x) = x + 4, we can find the value of f[h(-9)] as follows:

f[h(-9)] = f(-9 + 4) = f(-5) = (-5)² = 25

4. Given f(x) = x², g(x) = 5x, and h(x) = x + 4, we can find the value of h∘f(4) as follows:

h∘f(4) = h(f(4)) = h(4²) = h(16) = 16 + 4 = 20

5. Given f(x) = x², g(x) = 5x, and h(x) = x + 4, we can find the value of g[h(-2)] as follows:

g[h(-2)] = g(-2 + 4) = g(2) = 5(2) = 10

6. The formula f = converts inches n to feet f, and m = 5280 converts feet to miles m. The composition of functions that converts inches to miles can be written as m∘f, where m is applied first and then f.

m∘f(n) = m(f(n)) = m(n/12) = n/(12*5280)

Part 3: Inverses of Functions

7. Given f = {(-4,-5), (0,3), (1,6)} and g = {(6,1), (-5,0), (3,-4)}, we can find fg and g∘f, if they exist.

(a) fg:

To find fg, we need to perform the composition of functions fg(x) = f(g(x)).

fg(x) = f(g(x)) = f(1

) = 6

(b) g∘f:

To find g∘f, we need to perform the composition of functions g∘f(x) = g(f(x)).

g∘f(x) = g(f(x)) = g(x²) is not defined since there is no mapping for x² in g.

8. Given g(x) = x + 6 and h(x) = 3x², we can find [gh](x) and [hg](x), if they exist.

(a) [gh](x):

To find [gh](x), we need to perform the composition of functions [gh](x) = g(h(x)).

[gh](x) = g(h(x)) = g(3x²) = 3x² + 6

(b) [hg](x):

To find [hg](x), we need to perform the composition of functions [hg](x) = h(g(x)).

[hg](x) = h(g(x)) = h(x + 6) = 3(x + 6)² = 3(x² + 12x + 36) = 3x² + 36x + 108

9. To find the inverse of the relation {(-5,-4), (1,2), (3,4), (7,8)}, we need to swap the x and y values to obtain the inverse relation:

Inverse relation: {(-4,-5), (2,1), (4,3), (8,7)}

10. To find the inverse of the function g(x) = 3 + x, we need to interchange x and y and solve for y:

y = 3 + x

Interchanging x and y:

x = 3 + y

Solving for y:

y = x - 3

The inverse function of g(x) = 3 + x is g^(-1)(x) = x - 3.

Graphically, the function g(x) = 3 + x and its inverse g^(-1)(x) = x - 3 can be represented by plotting the points and reflecting them across the line y = x.

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Answer:

No

Step-by-step explanation:

84/56=1.5

16/9=1.78

Answer:

no

Step-by-step explanation:

its not

The denominator in the earnings per share formula is number of common shares outstanding.

What is the denominator used in the computation of earnings per share?

How are basic earnings per share determined?

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Answer:

x = 15

Step-by-step explanation:

Because PQ is parallel to JL,  \(\frac{KP}{PJ} = \frac{KQ}{QL}\)

Substituting, we have \(\frac{x-6}{3} = \frac{x}{5}\)

5(x-6) = 3x

5x - 30 = 3x

2x = 30

x = 15

Answer:

x = 15

Step-by-step explanation:

Because PQ is parallel to JL,  

Substituting, we have

5(x-6) = 3x

5x - 30 = 3x

2x = 30

x = 15

a) A system of equations that models this situation and helps Mrs. T to know how much the family is being charged for each individual song and each full album downloaded is:

b) From the solution of the simultaneous equations, we can determine that each individual song downloaded costs $1.15 while each full album costs $9.15.

A system of equations is two or more equations or simultaneous equations, solved concurrently.

                               Individual Songs    Album     Total Costs

Anna's download              5                        1            $14.90

Owen's download            3                        2            $21.75

Let individual songs = x

Let Album = y

5x + y = 14.90... Equation 1

3x + 2y = 21.75... Equation 2

Multiply Equation 1 by 2:

10x + 2y = 29.80... Equation 3

Subtract Equation 2 from Equation 3:

10x + 2y = 29.80

-

3x + 2y = 21.75

7x = 8.05

x = 1.15

= $1.15

From Equation 1, substitute x = 1.15 to get y:

5x + y = 14.90

5(1.15) + y = 14.90

5.75 + y = 14.90

y = 9.15

y = $9.15

Check Equation 2:

3x + 2y = 21.75

3(1.15) + 2(9.15) = 21.75

3.45 + 18.3 = 21.75

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Answer:

turn 3% into decimal by diving 3 by 100

3/100=0.03

0.03X3460=103.80

3460-103.80=3356.20

3356.20-100=3256.2

Answer:

x=20

Step-by-step explanation:

6x+10 and 130 are equal to each other so to solve for x we set them equal

6x+10=130

   -10.  -10

6x=120

x=20

Hopes this helps please mark brainliest

The amount each friend paid for food is $8. 50 for the food and $1. 50 for the tip.

The division is one of the most basic mathematical operators. It is used when a number is to be distributed equally in n number of parts.

As it is given that the total of 4 friends went to the lunch, the total amount paid by them is $40, but the food bill was just $34, therefore, the rest of the amount was paid in the tip. If we calculate the tip,

Tip = Total spent - Food bill

Tip = $40 - $34

Tip = $6

Now, as it is that the total amount spend by all on the food is $34, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,

\(\text{Total amount to be paid by each friend}=\dfrac{\text{Total amount spent by all on food}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$34}{4}\\\\\text{Total amount to be paid by each friend}=\$8.5\)

Further, the total amount tip by all is $6, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,

\(\text{Total amount to be paid by each friend}=\dfrac{\text{Total Tip}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$6}{4}\\\\\text{Total amount to be paid by each friend}=\$1.5\)

Hence, the amount each friend paid for food is $8. 50 for the food and $1.50 for the tip.

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Mathematics was used in many ways to build the pyramids. The Egyptians used mathematics to calculate the size and shape of the pyramids, to determine the angle of the sides, and to ensure that the pyramids were aligned with the stars.

The pyramids are some of the most impressive feats of engineering in the world. They are massive structures that were built with incredible precision.

The Egyptians used a variety of mathematical techniques to build the pyramids, including:

The Egyptians were also very skilled in practical mathematics. They used mathematics to measure distances, to calculate the amount of materials needed to build the pyramids, and to manage the workforce.

The use of mathematics in the construction of the pyramids is a testament to the ingenuity and skill of the ancient Egyptians. The pyramids are a lasting legacy of the Egyptians' mastery of mathematics.

Here are some additional details about how mathematics was used to build the pyramids:

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Answer:

i want to say the answer is C, i'm sorry if its incorrect, but i'm 50/50 that its C

Answer: 1/6

Step-by-step explanation: if he has 3 shirts you multiply that by 2 which would make 6 and that would become the denominator and the white shirt matching out with the tan pants would be a probability of 1 as there are 6 different possibilities. The probability of 1 will also be the numerator

Answer:

9/4

Step-by-step explanation:

I just made a graph using the points and did rise over run. Hope this help

The three vectors that form an orthonormal basis for R3 are:

u = (0.6, -0.8, 0)
v = (1, 0, 0)
w = (0, 0, 0.6)

To find the missing coordinates such that the three vectors form an orthonormal basis for R3, we need to use the concept of coordinates, vectors, and orthonormality.

First, let's define the three vectors as u = (0.6, -0.8, 0), v = (1, 0, 0), and w = (0, 0, 0.6).

To form an orthonormal basis for R3, the three vectors need to be orthogonal to each other and have a magnitude of 1.

Orthogonality means that the dot product of any two vectors is 0. So we need to find the missing coordinates of w such that:

u • v = 0
u • w = 0
v • w = 0

Since u and v are already orthogonal to each other, we only need to find the missing coordinates of w such that it is orthogonal to both u and v.

Let's start with u • w = 0:

0.6 * 0 + (-0.8) * 0 + 0 * 0.6 = 0

This equation is already satisfied, so we don't need to find any missing coordinates for w in relation to u.

Now let's look at v • w = 0:

1 * 0 + 0 * 0 + 0 * 0.6 = 0

Again, this equation is already satisfied, so we don't need to find any missing coordinates for w in relation to v.

Since both equations are satisfied, the missing coordinates of w are (0, 0).

Therefore, the three vectors that form an orthonormal basis for R3 are:

u = (0.6, -0.8, 0)
v = (1, 0, 0)
w = (0, 0, 0.6)

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Using sampling concepts, it is found that stratified sampling is used.

Samples may be classified as:

In this problem, the population is divided into groups according to their ages, then equal proportions of each group are taken, hence stratified sampling is used.

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Answer:

the date is 4 January today what was the date of week before is

Step-by-step explanation:

the the date is 29 December

Answer:

a

b

b

:)

Step-by-step explanation:

hi brother i have got the answer hope its correct

Based on the size of the perimeter of the rectangle, the fact that x is greater than y, the ratio of y to x is B. 1 : 3.

y should be such that it is 8 times smaller than the perimeter as it is the shorter side.

You can find the value of y by testing the given options.

If the ratio is 1 : 2, then the perimeter would be:

= 1 + 1 + 2 + 2

= 6

6 is not 8 times more than the y which is 1 in this case.

If the ratio is 1 : 3 then the perimeter is:

= 1 + 1 + 3 + 3

= 8

8 is eight times greater than the value of y which is 1 in this case.

This means that indeed the ratio of y to x is:

1 : 3

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Answer:

12.50x less than or equal to $200

Step-by-step explanation:

Answer:

7 Groups of 1/2 in 3 1/2

a) \(\sqrt{75} =5\sqrt{3}\)

b)\(\sqrt{(162)}=9\sqrt{2\)

c)\(\sqrt{(48)}=4\sqrt{(3)}\).

d)\(\sqrt{243} =9\sqrt{3} .\)

e) \(\sqrt[4]{300}\)

What is simplification?

When anything is made simpler or is broken down to its most basic components, it is referred to as being simplified. It is a simplification, as is any such diagram. Making anything simpler is the act or process of simplification.

a) \(\sqrt(75)=\sqrt(25*3)=\sqrt(25)*\sqrt(3)=5\sqrt(3).\)

b) \(\sqrt(162) =\sqrt(81 * 2) = \sqrt(81) * \sqrt(2) = 9 \sqrt(2).\)

c) \(\sqrt(48) = \sqrt(16 * 3) = \sqrt(16) * \sqrt(3) = 4 \sqrt(3).\)

d) \(\sqrt(243) = \sqrt(81 * 3) = \sqrt(81) * \sqrt(3) = 9 \sqrt(3).\)

e) \(\sqrt[4]{300}\)

= 2 x 2 x root(3, 4) x 5

= 4 root(3, 4) x 5

= 20 root(3, 4)

f) 3√(125) = 3 x √(125)

= 3 x 5 √(5)

= 15 √(5)

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Answer:

B

Step-by-step explanation:

The triangles are not similar because the corresponding side lengths are not proportional.

The proportion \(\frac{27}{81}\) is not equal to the other side length proportion, \(\frac{30}{72}\)

Answer:

6+2x is the answer

Step-by-step explanation:

♡ hope it helps

Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

Answer:

a. 10560

b. 63360 in.

c. 10000 m

d. 100000 cm

e. 3.107 miles

f. 42.165 km

Step-by-step explanation:

a. 2 miles contain how many feet?

1 mile = 5280 ft

2 miles × 5280 ft / mile = 10560 ft

b. 1 mile contains how many inches?

1 ft = 12 in

1 mile × 5280 ft/mile × 12 in./ft = 63360 in.

c. 10 kilometers contain how many meters?

1 km = 1000 m

10 km × 1000 m/km = 10000 m

d. 1 kilometer contains how many centimeters?

1 km × 1000 m/km × 100 cm/m = 100000 cm

e. How many miles are in a "5k" (five-kilometer) race?

1 in. = 2.54 cm

5 km =

= 5 km × 1000 m/km × 100 cm/m × 1 in. / (2.54 cm) × 1 ft / (12 in.) × 1 mile / (5280 ft)

= 3.107 miles

f. A marathon is 26.2 miles. How many kilometers is this?

26.2 miles =

26.2 miles × 5280 ft / mile × 0.3048 m/ft × km / (1000 m) = 42.165 km

Answer:

The radius of the circle is 1 kilometer.

Step-by-step explanation:

The radius of the circle is the length from the very center of the circle to any other point in the circle. To find the radius, you only have to divide the diameter in half, so 2 ÷ 2 = 1. Hope this helped!! :]