Given the equations below, match the correct answer from the drop down with each number. 1.y=-3x+6y=x+22. y=2x+6y=2x-1 3.y= -x+42y=-2x+8

The range of function (f + g)(x) is (-9, ∞) option (D) is correct the linear function g(x) is g(x) = -3x - 5

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = x² + 3x - 4

The domain of the f(x) is all real numbers

The range of the g(x) is [-6.25, ∞)

g(x) is shown in the table:

x      –6     –3     –1       4

g(x)    13      4     –2    –17

The linear function g(x) is:

\(\rm g(x) = \ -13=\dfrac{\left(4-13\right)}{-3+6}\left(x+6\right)\)

g(x) = -3x - 5

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

= x² + 3x - 4 - 3x - 5

(f + g)(x) = x² - 9

The domain of the function is all real numbers.

The range of the function (-9, ∞)

Thus, the range of function (f + g)(x) is (-9, ∞) option (D) is correct the linear function g(x) is g(x) = -3x - 5

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Answer:

x = 100°  ||  y = 20°

Step-by-step explanation:

Two pairs of parallel lines visible.

Create equations 1 and 2:

x - 2y = 60°

x + y = 120°

Make the x subject:

x - 2y = 60°

x = 60° + 2y ........equation 1

x + y = 120°

x = 120° - y ........equation 2

Solve them simultaneously:

120° - y = 60° + 2y

2y + y = 120°- 60°

3y = 60°

y = 20°

If y is 20° then the x is:

x = 120° - y

x = 120° - 20°

x = 100°

A charge nurse is reviewing orthostatic hypotension with a group of newly licensed nurses. the statements should the charge nurse make is c) a decrease of 20 mm of Hg in the diastolic pressure with a position change indicates orthostatic hypotension.

Orthostatic hypotension — also called postural hypotension — is a form of low blood pressure that happens when standing after sitting or lying down. Orthostatic hypotension can cause dizziness or lightheadedness and possibly fainting.

Orthostatic hypotension can be mild. Episodes might be brief. However, long-lasting orthostatic hypotension can signal more-serious problems. It's important to see a health care provider if you frequently feel lightheaded when standing up.

Occasional orthostatic hypotension is usually caused by something obvious, such as dehydration or lengthy bed rest. The condition is easily treated. Chronic orthostatic hypotension is usually a sign of another health problem, so treatment depends on the cause.

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Answer:

P= 2 (a+b)

Step-by-step explanation:

The expected demand for the high-pressure cleaner is 1.86.

Frequency distribution is a statistical tool that organizes data into different categories and shows how often each category occurs. In this case, the demand for a high-pressure cleaner is the category, and the number of times it occurs is the frequency.

To calculate the expected demand, we need to first find the relative frequency of each demand level. The relative frequency is the percentage of the total number of demands accounted for by each demand level. We can calculate the relative frequency by dividing the frequency of each demand level by the total number of demands.

Total number of demands = 20 + 23 + 27 + 14 + 16 = 100

Relative frequency of demand level 0 = 20/100 = 0.20

Relative frequency of demand level 1 = 23/100 = 0.23

Relative frequency of demand level 2 = 27/100 = 0.27

Relative frequency of demand level 3 = 14/100 = 0.14

Relative frequency of demand level 4 = 16/100 = 0.16

Next, we multiply each demand level by its relative frequency and add the products to get the expected demand.

Expected demand = (0 × 0.20) + (1 × 0.23) + (2 × 0.27) + (3 × 0.14) + (4 × 0.16)

=> 1.86

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Complete Question:

The following data has been recorded regarding the rental history of a high pressure cleaner. Find the expected demand for the high pressure cleaner.

Demand Frequency

0              20

1               23

2              27

3              14

4              16

Answer: $6.45

Step-by-step explanation:

Take the total cost of 3 cans of orange juice

$2.15

Now multiply $2.15 by 3

$2.15x3

You will get

$6.45

Answer:

3 : $2.15

9 : ? (more)

9/3 × $2.15 = $6.45

Answer:

y=−3x−22

Step-by-step explanation

To find the perpendicular slope you must flip reciprocals and as well as the signs. Then graph on desmos to see if it passes through (-6,-4)

The value of x is 24. The angle measures of each vertex of the yard are m∠A = 160°, m∠B = 142°, m∠C = 120°, m∠D = 156°, m∠E = 31°, m∠F = 111°.

What is a polygon?

A polygon is a closed polygonal chain made up of a finite number of straight line segments and is a type of plane figure in geometry. A polygon is a region that is bounded by a bounding circuit, a bounding plane, or both. A polygonal circuit's segments are referred to as its edges or sides.

The formula of the sum of interior angles of a polygon is (n - 2)×180°, where n is number of sides.

The number of sides of the given irregularly shaped garden is 6.

The sum of the interior angles of the garden is (6 - 2)×180° = 720°

Also given:

m∠A = (7x - 8)°, m∠B = (4x + 46)°, m∠C = (5x)° , m∠D = (6x + 12)°, m∠E = (x + 7)°, m∠F = (5x - 9)°.

The sum of the interior angles of the garden is

(7x - 8)° + (4x + 46)° + (5x)° + (6x + 12)° +  (x + 7)° + (5x - 9)°

Therefore,

(7x - 8)° + (4x + 46)° + (5x)° + (6x + 12)° +  (x + 7)° + (5x - 9)° = 720°

Combine like terms:

(7x +4x + 5x + 6x + x + 5x) + (-8 +46 + 12 + 7 - 9) = 720

28x + 48 = 720

Subtract 48 from both sides:

28x = 672

Divide both sides by 28:

x = 24

Putting x = 28 in the given angles:

m∠A = (7×24 - 8)° = 160°

m∠B = (4×24 + 46)°= 142°

m∠C = (5×24)° = 120°

m∠D = (6×24 + 12)°= 156°

m∠E = (24 + 7)° = 31°  

m∠F = (5×24 - 9)° = 111°

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Answer:

1) claire's stone at 1.25 seconds

2) 0.5 seconds and its max height was 9

3) lin at 8ft

Step-by-step explanation:

the intercepts tell you the first and third question and then the max height is the highest point on the graph

not sure what measurements you were supposed to use so I used seconds and feet and if that's not it then it's the same numbers just different words

The numbers 1²,4²,9²,16², 25² are called perfect squares

Because all of these integers have an integer as a square root as well.

1² =1

4²=16

9²=81

16²=256

25²=625

√1=1

√4=2

√9=3

√16=4

√25=5

This term goes back to Ancient Greeks when they use geometry to calculate the square root of these numbers as the sides of squares.

Answer:

5 2/3

Step-by-step explanation:

The equation of the function shown in the graph would be \(y=0.5sec[2(x+\pi)]-4\).

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

This is the graph of y = sec x that is shifted down 2 units and shifted to the left π/3 units.

When x=0,

\(y = 0.5sec[2(x+\pi)]-4\\\\y = 0.5sec[2(x+\pi/3)]-4\\\\y = 1-2\\\\y = -1\)

Thus, The y-intercept is -1.

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Answer:

add sum of all the angle given

Answer:

A. Reflection

Step-by-step explanation:

I believe the answer would be reflection

Answer:

The exact value of the other leg is 10.

Step-by-step explanation:

Finding the exact value of x given a 45 degree angle and a side length of 10 can be done using trigonometry. In a 45-45-90 right triangle, the two legs are congruent and the hypotenuse is equal to the square root of 2 times the length of the legs.

Therefore, if one leg is 10, the hypotenuse is 10 times the square root of 2. To find the length of the other leg, we can use the Pythagorean theorem:

c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the legs of the right triangle.

Substituting known values, we get:

(10√2)^2 = 10^2 + b^2

200 = 100 + b^2

b^2 = 100

b = 10

Therefore, the exact value of the other leg is 10.

Answer:

Step-by-step explanation:

Hello,

-8/9 X 5/6 = -40 / 54. The greatest common factor they both go into is 20. Divide -40 and 54 by 20, and the answer simplified is -20/27, letter C.

              Hope this helps     ;)

The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

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Answer:

176 cu. cm

Step-by-step explanation:

Vol. of prism = Bh where B is the area of the base and h is the height

V = 22(8) = 176 cu. cm

The sum that Mahesh borrowed was Rs. 22,800, the interest that Mahesh has to pay was Rs. 6,492, the interest that Rakesh has to pay was Rs. 7,550, and the percentage by which Rakesh pays more interest than Mahesh was 16.3%.

a) Sum borrowed by Mahesh

Let us suppose that the principal sum borrowed by Mahesh from the bank at 9% per annum is Rs. x.

Hence, we can write that

Simple Interest = (P × R × T )/ 100

= (x × 9 × 3)/100

= 27x/100

Therefore, the amount that Mahesh has to pay after 3 years, including the interest, is

A = P + SI

= x + 27x/100

= 127x/100

Again, Mahesh invests the same amount of Rs. x to Rakesh at 10% per annum, which is compounded annually, for three years.

Hence, the total amount after three years that Rakesh has to pay Mahesh is:

Amount after 3 years = x (1 + R/100)³

= x (1 + 10/100)³ = 1.331 x

Therefore, Mahesh made a profit of Rs. 7,550 by investing Rs. x at 10% per annum, compounded annually, for three years.

Hence, we can write that

Compound Interest = Amount - Principal

CI = 1.331x - x = 0.331x

Therefore, 0.331x = Rs. 7,550=>

x = Rs. 22,800

Thus, Mahesh borrowed Rs. 22,800 from the bank.

b) Interest that Mahesh has to pay

Interest = P × R × T/100

= Rs. 22,800 × 9 × 3/100 = Rs. 6,492

Therefore, Mahesh has to pay Rs. 6,492 as interest.

c) Interest that Rakesh has to pay

The total amount that Rakesh has to pay to Mahesh is Rs. 30,350 [= (22,800 + 7,550)].

Therefore, interest that Rakesh has to pay = Total Amount - Principal

= Rs. 30,350 - Rs. 22,800 = Rs. 7,550

Therefore, Rakesh has to pay Rs. 7,550 as interest.

d) Percentage by which Rakesh pays more interest than Mahesh

Let us calculate the percentage difference between the interest paid by Rakesh and the interest paid by Mahesh.

Thus, the percentage difference can be calculated as

% Difference = (|Interest paid by Rakesh - Interest paid by Mahesh|/ Interest paid by Mahesh) × 100

% Difference = (|7,550 - 6,492|/6,492) × 100

% Difference = 16.3%

Therefore, Rakesh pays more interest than Mahesh by 16.3%.

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The correct pairings are:

a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

b) Five times the difference of a number squared and six: 5(n² - 6)

c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

d) O twice the difference of nine and a number squared: 2(9 - n²)

The correct pairings of descriptions and expressions are as follows:

Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.

Five times the difference of a number squared and six: 5(n² - 6)

This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.

Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.

O twice the difference of nine and a number squared: 2(9 - n²)

This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.

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Answer:

k = 11

Step-by-step explanation:

Expand brackets

2k - 10 = 12

add 10 on both sides

2k = 22

divide both sides by 2

k = 11

Answer:

  x ≈ 2.09590327429

Step-by-step explanation:

You want the solution to 3^x = 10 using logarithms.

Taking logarithms of both sides of the given equation, we have ...

  x·log(3) = log(10)

Dividing by the coefficient of x gives ...

  x = log(10)/log(3)

  x ≈ 2.09590327429

__

Additional comment

If the logarithm to the base 10 is used, then this becomes ...

  x = 1/log₁₀(3)

The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.

For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.

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The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).

Taking the log of both sides, we get:

log(3^x) = log(10)

Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:

x * log(3) = log(10)

Next, we can divide both sides of the equation by log(3) to isolate the variable x:

x = log(10) / log(3)

Using a calculator, we can evaluate the right side of the equation:

x ≈ 1.46497

Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

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Answer:

J_116

Step-by-step explanation:

because brownies =$82

and cookies would equal to $58

Answer:

.I would like to help but....!!!!

there is no diagram!

Answer:

22 minus 4 = 18

18 divided by 3 is equal to 6

then following from the question now that we got the answer

so she have 6 cards first then it tripled and now it's 18 Then she added four now it's 22

your welcome

Answer:

6

Step-by-step explanation:

let x be the number of cards

3x + 4 = 22

3x = 18

x = 6

Answer:

x = 20

Step-by-step explanation:

4x + 20 and 2x + 60 are corresponding angles and are congruent, so

4x + 20 = 2x + 60 ( subtract 2x from both sides )

2x + 20 = 60 ( subtract 20 from both sides )

2x = 40 ( divide both sides by 2 )

x = 20

In this case, the population is children from 6 to 18 years old who had nonlethal scorpion sting; on the other hand, the sample is the 245 children selected.

In a research study, the population is considered as the group of individuals being studied. However, as this number is often high, researchers often select a small random percentage that should be representative of the population, which is known as the sample.

Based on this, the population can be children  from 6 to 18 years old who had nonlethal scorpion sting, while the sample are those children selected (245) to carry out the research study.

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