Pleas help only answer if you know

Answer: -9

Step-by-step explanation:

f(x)=-5x-4

f(1)=-5(1)-4

    =-5-4

f(1) =-9

The inequality c ≥ 20 represents the minimum number of candles that need to be sold to pay for a visit to Knotts costing $100 when each candle is sold for $5.

To write the inequality that represents c, we need to consider the cost of the visit to Knotts and the price of each candle that is being sold. Let's assume that the cost of the visit to Knotts is $100 and each candle is being sold for $5.

We know that the total amount of money she earns from selling c candles is given by 5c, and this amount must be greater than or equal to the cost of the visit, which is $100. Therefore, we can write:

5c ≥ 100

Dividing both sides of the inequality by 5, we get:

c ≥ 20

Therefore, the inequality that represents c is c ≥ 20. This means that she needs to sell at least 20 candles to be able to pay for the visit to Knotts. If she sells fewer than 20 candles, she won't have enough money to cover the cost of the visit.

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I guess the answer is 6.66 or 13.33

By substituting different values of x, corresponding values of function y are 5, -1, -7, and -31 obtained as shown in the table.

For the given situation,

The function is y=-6x-1.

Substitute the different values of x in function y, to obtain the value of y.

For x = -1,

y= 5

⇒

For x = 0,

y= -1

⇒

For x = 1,

y = -7

⇒

For x = 5,

-31

⇒

The table below shows the values of x and the function y.

Hence we can conclude that by substituting different values of x, corresponding values of function y are obtained as shown in the table.

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Answer:

W=13 ft L=35 feet

Step-by-step explanation:

see detailed explanation below

Answer: 2a < 2b

Step-by-step explanation:

We are given a statement:

a < b and b < c, then 2a ____ 2b

We can use simple numbers that make the statement true.

Where,

a = 2

b = 3

c = 4

Now lets plug it in.

2 < 3 and 3 < 4, then 2(2) ____ 2(3)

and lets simplify:

2 < 3 and 3 < 4, then 4 ____ 6

We can see that 4 is less than 6,

so as a is less than b, 2a is less than 2b.

The only thing changing is the coefficient being multiplied by the variables a and b.

The solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:

-∞ < x < 1 or 1 < x < 6 or 6 < x < 2

Given the inequality,

    f(x²-2) < f(7x-8) over D₁ = (-∞, 2)

We need to find the values of x that satisfy this inequality.

Since we know that f is increasing over its domain, we can compare the values inside the function to determine the values of x that satisfy the inequality.

First, we can find the values of x that make the expressions inside the function equal:

x² - 2 = 7x - 8

Simplifying, we get:

x² - 7x + 6 = 0

Factoring, we get:

(x - 6)(x - 1) = 0

So the values of x that make the expressions inside the function equal are x = 6 and x = 1.

We can use these values to divide the domain (-∞, 2) into three intervals:

-∞ < x < 1, 1 < x < 6, and 6 < x < 2.

We can choose a test point in each interval and evaluate

f(x² - 2) and f(7x - 8) at that point. If f(x² - 2) < f(7x - 8) for that test point, then the inequality holds for that interval. Otherwise, it does not.

Let's choose -1, 3, and 7 as our test points.

When x = -1, we have:

f((-1)² - 2) = f(-1) < f(7(-1) - 8) = f(-15)

Since f is increasing, we know that f(-1) < f(-15), so the inequality holds for -∞ < x < 1.

When x = 3, we have:

f((3)² - 2) = f(7) < f(7(3) - 8) = f(13)

Since f is increasing, we know that f(7) < f(13), so the inequality holds for 1 < x < 6.

When x = 7, we have:

f((7)² - 2) = f(47) < f(7(7) - 8) = f(41)

Since f is increasing, we know that f(47) < f(41), so the inequality holds for 6 < x < 2.

Therefore, the solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:

-∞ < x < 1 or 1 < x < 6 or 6 < x < 2

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The pattern that this system detects is a four-digit number that is divisible by 3.

1. The system starts by taking an input of a four-digit number.

2. It then checks if the last digit of the input number is divisible by 3.

3. If it is, the system continues to check if the sum of the remaining three digits is divisible by 3.

4. If this turns out to be true, the system will output a signal indicating that the input number is divisible by 3.

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Answer:

-25/42

Step-by-step explanation:

you need to make the denominators equal, so find a number that is divisible by both 6 and 7 (i chose 42 because it’s the first number that comes to mind) you then multiply the numerator by the same number.

so -1/6 is multiplied by 7 on top and bottom to become -7/42, and -3/7 is multiplied by 6 of top and bottom to become -18/42.

then you add them together and you get -25/42

if possible you would simplify but for this one it’s not :)

Answer:

Negative Twenty Five over Forty Two.

Step-by-step explanation:

Hey, It looks like you just have to add two fractions. i.e Negative One Sixth (-1/6) and Negative Three Seventh (-3/7).

First Step: Make the denomimators the same.

-1/6 will become -7/42

-3/7 will become -18/42

Second step: Add the two fractions.

-7/42 + -18/42 = -25/42

So there is your answer: -25/42

As \(\bf{l}\parallel{m}\)

\( \bf \longrightarrow(7x + 12) \degree = (12x - 28) \degree \\ \\ \bf \longrightarrow 12 + 28 = 12x - 7x \\ \\ \bf \longrightarrow40 = 5x \\ \\ \bf \longrightarrow x = { \cancel{\frac{40}{5} }} \\ \\ \bf \longrightarrow x = 8\)

Answer:

6 books per month

Step-by-step explanation:

because 6x10 equals 60

Answer:

900 kg

Step-by-step explanation:

Let's assume the cost price (C.P.) of sugar is Rs. x per kg.

The total quantity of sugar is 1500 kg.

Let the quantity of sugar sold at 8% profit be represented by y kg.

The quantity of sugar sold at 18% profit would then be (1500 - y) kg.

Using the rule of alligation, we can set up the following proportion:

(8% profit) y kg

-------------- = ------

(18% profit) (1500 - y) kg

Simplifying the proportions, we find that the difference in percentages is 4% (18% - 14% = 4%) and 6% (14% - 8% = 6%).

The ratio of these differences is 2:3.

This means that for every 2 kg of sugar sold at 8% profit, 3 kg of sugar is sold at 18% profit.

Since y represents the quantity sold at 8% profit (2 kg), we can calculate the quantity sold at 18% profit (3 kg) as follows:

(2 kg) * (3/2) = 3 kg

Therefore, the quantity sold at 18% profit is 900 kg.

An equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is \(7x > -22.\)

To find an equivalent inequality, we can start by simplifying the given inequality and then make adjustments to preserve its truth.

Let's simplify the given inequality step by step:

\(-4(x + 7) < 3(x - 2)\)

Expanding both sides:

\(-4x - 28 < 3x - 6\)

Grouping like terms:

\(-4x - 3x < -6 + 28\)

Simplifying:

\(-7x < 22\)

To maintain the direction of the inequality, we need to multiply both sides by -1.

However, when we multiply or divide both sides of an inequality by a negative number, the direction of the inequality is reversed.

Therefore, we need to flip the inequality sign:

\(7x > -22\)

Hence, an equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is

\(7x > -22.\)

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Based on the information given, the price of the zero coupon bond is $692.04.

To calculate the price of a zero coupon bond, we need to use the following formula:

\(\sf P =\dfrac{F}{1+r\div n}^{(nt)\)

Where:

Also, the annual interest rate is 7.50%, which is the market interest rate, and the compounding is semiannual, which means n = 2. Finally, the time to maturity is 5 years.

Plugging in the values into the formula, we get:

\(\sf P = \dfrac{1000}{(1+0.075\div2)^{(2\times5)}}\)

\(\sf P = \dfrac{1000}{(1.0375)^{10}}\)

\(\sf P = \dfrac{1000}{1.4450}\)

\(\sf P = \$692.04 \ \ (rounded \ to \ the \ nearest \ cent)\)

Therefore, the price of the zero coupon bond is $692.04.

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The expression can be written as  3ˣ, (27/9)ˣ, and (9ˣ 3ˣ)/9ˣ options (B), (C), and (D) are correct.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have ab expression:

\(\rm = \dfrac{27^x}{9^x}\)

\(\rm = (\dfrac{27}{9})^x\)

= 3ˣ

or

\(\rm = \dfrac{9^x \ 3^x}{9^x}\)

Thus, the expression can be written as  3ˣ, (27/9)ˣ, and (9ˣ 3ˣ)/9ˣ options (B), (C), and (D) are correct.

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Answer:

the bag contains $10.89.

Step-by-step explanation:

Let's start by using algebra to represent the number of coins in terms of one variable. Let x be the number of pennies in the bag. Then:

The number of nickels is 4 more than the number of pennies, so there are x + 4 nickels.

The number of dimes is 30% of the total, so there are 0.3 * 50 = 15 dimes.

The number of quarters is the remaining coins: 50 - (x + x + 4 + 15) = 31 - 2x.

To find the total amount of money, we need to multiply the number of each type of coin by its value and add them up. Using the values of the coins:

Pennies: x * $0.01

Nickels: (x + 4) * $0.05

Dimes: 15 * $0.10

Quarters: (31 - 2x) * $0.25

Adding these expressions and simplifying, we get:

Total = 0.01x + 0.05(x + 4) + 0.10(15) + 0.25(31 - 2x)

= 0.01x + 0.05x + 0.20 + 1.50 + 7.75 - 0.50x

= 0.06x + 9.45

Now we need to find x, the number of pennies. We know that 14% of the coins are pennies, so:

0.14 * 50 = 7 = x + (x + 4) + 15 + (31 - 2x)

Solving for x, we get:

7 = 50 - x - 19

x = 24

So there are 24 pennies, 28 nickels, 15 dimes, and 3 quarters in the bag. The total amount of money is:

Total = 0.06(24) + 9.45 = $10.89

Therefore, the bag contains $10.89.

Step-by-step explanation:

4x+15y= 40-5y= 20

= 4x+15y+5y= 40-20

4x+20y= 20

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:

option 2. mean is larger than median.

Step-by-step explanation:

mean of the set = ( 88+81+93+85+98)/5

= 445/5

= 89

median of the set = 88

the mean of the set is greater than the median.

Answer:

D. Angles J, L, K

Step-by-step explanation:

The sides are given. The largest angle will be opposite from the largest side. The middle-sized angle will be opposite from the middle-suzed side. And the smallest angle will be opposite from the smallest side.

The angles in ΔJKL in order from largest to smallest is ∠J>∠L>∠K.

We need to list the angles in ΔJKL in order from largest to smallest.

If one side of a triangle is longer than another side, then the angle opposite the longer side will be larger than the angle opposite the shorter side.

Converse: If one angle in a triangle is larger than another angle in a triangle, then the side opposite the larger angle will be longer than the side opposite the smaller angle.

Now, from the ΔJKL:

∠J is the larger angle opposite to the longer side KL.

∠K is the smaller angle opposite to the smallest side KL.

Order from largest to smallest angle is ∠J>∠L>∠K.

Therefore, the angles in ΔJKL in order from largest to smallest is ∠J>∠L>∠K.

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Answer:

\(A_{total} = 14\ in^2\)

Step-by-step explanation:

Step 1:  Determine the area of the left rectangle

We can tell that the total shape seems like two rectangles glued together.  We can separate the left rectangle and determine the area of it and then determine the area of the right rectangle and combine them.  Lets first solve the left rectangle.

\(A = l * w\)

\(A_{left\ rectangle} = 2\ in * 4\ in\)

\(A_{left\ rectangle} = 8\ in^2\)

Step 2:  Determine the area of the right rectangle

\(A = l * w\)

\(A_{right\ rectangle} = 3\ in * 2\ in\)

\(A_{right\ rectangle} = 6\ in^2\)

Step 3:  Determine the total area

\(A_{total}=A_{left\ rectangle} + A_{right\ rectangle}\)

\(A_{total} = 8\ in^2 + 6\ in^2\)

\(A_{total} = 14\ in^2\)

Answer: \(A_{total} = 14\ in^2\)

Area of right rectangle

Area of left rectangle

Total

Answer:

7-x

Step-by-step explanation:

If one piece is x, and the whole is 7, the missing piece would be 7-x

Hope this helps :)

The difference between Tom and Alfie is  1 kg

Let's call the weight of Tom T, the weight of Harry H, the weight of Freddie F, and the weight of Alfie A. We are given that T = H + 5, H = F + 3, and F = A - 2.

Substituting the second and third equations into the first equation gives us:

T = (A - 2) + 3 + 5

T = A - 2 + 3 + 5

T = A + 1

So the difference between Tom and Alfie is T - A = A + 1 - A = 1 kg.

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Answer:

I would draw lines through the shapes to create smaller, rectangualer shapes that you only need the lenght and width to find. Then below you would write L=_ and W=_ for which ever three you choose.

Step-by-step explanation:

Answer : The polynomial in standard form is \(1a^2+9a+20\)

Step-by-step explanation :

The polynomial in standard form means that the terms are ordered from highest exponent to lowest exponent.

Given: Subtract \(9a^2-6a+5\) from \(10a^2+3a+25\)

The expression will be :

\((10a^2+3a+25)-(9a^2-6a+5)\)

Now open the bracket and change the sign.

\(=10a^2+3a+25-9a^2+6a-5\)

Now we are adding or subtracting the like terms, we get:

\(=1a^2+9a+20\)

Thus, the polynomial in standard form is \(1a^2+9a+20\)

Based on Amy Schorling's driver rating factor, vehicle classification and bodily injury coverage, her annual premium is $576.46.

If she includes the $50-deductibel collision coverage, her insurance premium becomes $1,067.08.

At $25,000 property damage, her 25/50 bodily injury coverage premium is $206.40.

This should be added to her $50 comprehensive deductible D-14 vehicle classification of $105.20.

Annual base premium:

= 206.40 + 105.20

= $311.60

Annual premium:

= Annual base premium x Driver rating factor

= 311.60 x 1.85

= $576.46

The annual base premium becomes:

= 311.60 + 265.20

= $576.80

Annual premium becomes:

= 576.80 x 1.85

= $1,067.08

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Answer:

Step-by-step explanation:

Solve for y:

Add - 2x to both sides

or

he asked me what my name was into direct speech

Answer:

Step-by-step explanation:

Since the cannonball is fired at an angle of 45°, it will have the same horizontal and vertical velocities.

Let x be the distance it travels before it is 600 feet above ground. At this point, its vertical displacement will be 600 feet, and we can use the formula for vertical displacement:

y = v0*t + (1/2)at^2

Since there is no initial vertical velocity and we are ignoring gravity, a = 0 and the equation simplifies to:

y = 0*t + 0 = 600

Solving for t, we get:

t = sqrt(2y/a) = sqrt(2*600/0) = undefined

This means that the cannonball will never be 600 feet above ground if we ignore gravity. Since this is not realistic, we cannot answer this question without additional information or by assuming that gravity is acting on the cannonball.

Answer:

the graph represents the average heights of the girls in mrs.hills class.

Step-by-step explanation: