Graph the function (fx) = 2√ + 3 on the coordinate plane

Answer:

10

Step-by-step explanation:

subtract 14 from 24 or 24 from 14

The width of a rectangle when it's area is 36 square centimeter and it’s length 9 centimeter is 4vm.

From rte information, the rectangle is 36 square centimeter and it’s length 9 centimeter. It should be noted that the the area of a rectangle is calculated thus:

Area = Length × Width

36 = Length × Width

Width = 36 / Length

Width = 36 / 9

Width = 4.

The width of the rectangle is 4cm

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Complete question

A Rectangle is36 square centimeter and it’s length 9 centimeter. Fund the width.

If y is the unknown number, the equation of the line for the given condition is y/3+38=96 and the value of y will be 228.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the condition is "If a number divided by 3 is increased by 38, the result is 96".

Let y be the unknown number.

The equation for the following word problem is,

y/3+38=96

The equation is solved in further steps,

(y+114)/3=96

y+114=96×3

y+114=342

y=342-114

y=228.

Thus, if y is the unknown number, the equation of the line for the given condition is y/3+38=96 and the value of y will be 228.

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The value of angle RPQ in the circle is 115 degrees.

The intersecting chords theorem, also known as the chord theorem, is an elementary geometry statement that describes a relationship between the four line segments formed by two intersecting chords within a circle.

If two chords intersect inside a circle, then the measure of the angle formed is one-half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore,

∠RPQ = 1  / 2 (arc angle RQ + arc angle SA)

arc angle RQ = 175 degrees

arc angle SA = 55 degrees

Hence,

∠RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115 degrees.

The angle is 115°.

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A. The temperature at noon will be 6°F.

B. The thing that represents zero in this situation is when the temperature is neither raised nor dropped and it's at the initial stage.

Temperature is the measure of how hot or cold something is expressed in terms of one of several scales, which include Fahrenheit and Celsius. The direction in which heat energy will spontaneously flow is indicated by temperature.

A. From the information, by 6:00 A.M., the temperature had dropped 4 F, and then the temperature raised 10 F by noon.

The temperature at noon will be:

= -4°F + 10°F

= 6°F

The temperature at 0 simply means the initial temperature.

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The domain of a function is the set of all possible input values that the function can take without breaking. In the case of f(x) = log(5x+10) + 3, the domain is all real numbers x such that 5x+10 is greater than 0. This is because the log function is not defined for values less than or equal to 0.

To find the domain of f(x), we need to solve the inequality 5x+10 > 0. We can do this by subtracting 10 from both sides of the inequality, which gives us 5x > -10. Dividing both sides by 5 gives us x > -2. Therefore, the domain of f(x) = log(5x+10) + 3 is all real numbers x such that x > -2.

The fish's total distance traveled is 17 meters in 5 minutes based on multiplication and addition operations.

The total distance the fish traveled can be determined using mathematical operations, especially multiplication and addition.

We know that distance is the product of speed and time, i.e. d = st, where s is speed, t is time, and d is distance.

In this situation, we separately find the distance the fish traveled during its descent and ascent by multiplying time and speed.

The results are added to obtain the total distance the fish traveled for both activities.

The fish's descent speed = 4 meters per minute (MPM)

The total time for the descent = 2

The total distance for the descent = 8 miles (4 x 2)

The fish's ascent speed = 3 meters per minute (MPM)

The total time during ascent = 3 minutes

The total distance for the ascent = 9 miles (3 x 3)

The total distance the fish traveled for descent and ascent = 17 meters (8 + 9)

Thus, we can mathematically conclude that the fish traveled 17 meters.

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Answer:

P(X > 2.6) = 0.0475 = 4.75%

Step-by-step explanation:

Let X is the random variable that represents percent of childhood asthma prevalence.

We want to find out the probability that the  mean childhood asthma prevalence for the sample is greater than 2.6%

The z-score corresponding to 1.67 is 0.9525

P(X > 2.6) = 1 - 0.9525

P(X > 2.6) = 0.0475

P(X > 2.6) = 4.75%

Therefore, there is 4.75% probability that the mean childhood asthma prevalence for the sample is greater than 2.6%

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.6)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 1.67 then go for 0.07 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

The correct option is Joint variation, because there is not only diect variation or inverse variation.

What is variation in mathematics?

It gives the relationship between a set of variables with the other set of variables.

Consider the given equation.

R = kst / v²

In this question, details of variables is not given hence, consider k is constant and s, t, and v are variables.

Direct variation: When one variable is directly proportional to the other variable then the relation is known as direct variation.

Joint variation: When a variable depends directly or inversely on 2 or more than two variables then the variabtion is known as Joint variation.

Inverse: When a variable varies inversaly with respect to other variable then the the variation is known as inverse variation.

In the equation, there are 3 variables, R varies directly as s and t and varies inversely as [tex]v^2[/tex].

Hence, the correct option is Joint variation, because there is not only diect variation or inverse variation.

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What equation to solve what problem?

Pam worked on puzzle for 7380 seconds.

Conversion of unit is a multi-step process which involves multiplication or division by a numerical factor. In it one unit of the quantity is changed to another unit of same quantity.

Given,

Pam spent 1 hour and 15 minutes on puzzle, on Saturday.

She spent 48 minutes on puzzle on Sunday.

Total time spent on puzzle by Pam

= 1 hour 15 minutes + 48 minutes

∵ 1 hour = 60 minutes

Total time spend in minutes

= 60+15+48

= 123 minutes

now, 1 minute = 60 seconds

Total time spend in seconds

= 123 × 60

= 7380 seconds.

Hence, 7380 seconds is the total time spend by Pam on the puzzle.

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Answer:

y=-2/3x+2

Step-by-step explanation:

multiply -2/3 by the x coordinate (3) and set up your equation in y=mx+b format using the y coordinate (-4=-2+b) -4/-2 is 2. Now keep your original slope and your equation is y=-2/3x+2

Answer: A, B and C

Step-by-step explanation:

Step-by-step explanation:

Given any three side lengths of a right triangle, the longest side is the hypotenuse.

The side lengths  of a right triangle must satisfy the Pythagorean Theorem.

Pythagorean Theorem:

Option A:

True

Option B: 2.5, 6, 6.5

Option C:

Since all are true, the side lengths in Options A, B and C forms a right triangle,

Answer:

Side lengths a , b , c form a right triangle if, and only if, they satisfy a² + b² = c² . We say these numbers form a Pythagorean triple

Step-by-step explanation:

Answer:

Step-by-step explanation:

obtuse.

Answer:

3

Step-by-step explanation:

LK is around half of AB, which is 6. Half of 6 is 3.

Answer:

12 is the answer of this equation

Answer: [tex]\boxed{y=\frac{3}{4}x- \frac{9}{2} }[/tex]

Step-by-step explanation:

Given the points: (2, -3) and (-2, -6)

using the slope formula, lets calculate the slope,

[tex]\frac{-6+3}{-2-2} =\frac{3}{4}[/tex]

Using point-slope form lets solve,

[tex]y+3=3/4(x-2)\\\\\boxed{y=\frac{3}{4}x- \frac{9}{2} }[/tex]

The simple interest on 1600 with a 6% interest rate for 2 years is $192.

The simple interest simply means the method that's used to calculate the interest that's charged on a loan or money given out.

In this situation, we want to calculate the simple interest on 1600 with a 6% interest rate for 2 years. This will be calculated thus:

Simple interest = Principal × Rate × Interest

Simple interest = $1600 × 6% × 2

Simple interest = $1600 × 0.06 × 2

Simple interest = $192

The interest is $192.

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Complete question

Calculate the simple interest on 1600 with a 6% interest rate for 2 years.

The expression that shows how many comic books Tessa has is 14t

From the question, we have the following parameters that can be used in our computation:

Tessa = t times as many as Joseph

Joseph = 14 comic books

These parameters means that

Tessa = t times Joseph

So, we have

Tessa = t * Joseph

Substitute the known values in the above equation, so, we have the following representation

Tessa = t * 14

Evaluate

Tessa = 14t

Hence, the expression is 14t

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Answer: 6/25

Step-by-step explanation: To find the equivalent expression, we can use the property of square roots that says that the square root of the quotient of two numbers is the quotient of the square roots of the numbers. This property is given by the following equation: sqrt(a/b) = sqrt(a) / sqrt(b)

In this case, the expression we are trying to simplify is sqrt(36/25), which we can rewrite using the property of square roots as follows: sqrt(36/25) = sqrt(36) / sqrt(25)

Then, we can use the property of square roots that says that the square root of a perfect square is the number itself to simplify the expression as follows: sqrt(36/25) = 6 / sqrt(25)

Finally, we can use the property of square roots that says that the square root of a perfect square is the number itself to simplify the expression even further: sqrt(36/25) = 6 / 5

Therefore, the equivalent expression to sqrt(36/25) is 6/25. This means that the correct answer is 6/25, not 5/6.

The solution that correctly shows the slope calculation to enable Dorothy show that △PQR is a right triangle

Right triangles are triangles with have perpendicular relationships

The lines will be checked for perpendicularity by calculating the slopes, if any two slopes are negative reciprocals  then they are perpendicular and the triangle is a right triangle

Using point PQ

m = (y₂ - y₁) / (x₂ - x₁)

m = (1 - 5) / (-1 - -2)

m = -4

Using point QR

m = (y₂ - y₁) / (x₂ - x₁)

m = (3 - 1) / (7 - -1)

m = 2/8 = 1/4

Comparing the slopes shows that slopes calculated are negative reciprocals

-4 and 1/4

Therefore the triangle is a right triangle

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The zeroes for the given polynomial will be 1 and 3.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

It is given that the polynomial is, p(x)=2x⁴-8x³+6

[tex]=2x^4-8x^3+6 \\\\ =2\left(x^4-4x^3+3\right) \\\\ =2\left(x-1\right)\left(x^3-3x^2-3x-3\right) \\\\ 2(x-1)+x^2(x-3)-3(x-3) \\\\ x =1 \\\\ x = 3[/tex]

Thus, the zeroes for the given polynomial will be 1 and 3.

The question is incomplete the complete question is"Consider the polynomial p(x)=2x⁴-8x³+6

a. Graph p(x)=2x⁴-8x³+6, and find the real zero of polynomial p.

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Hence, the budgeted cost left in his saving is [tex]300-24=276[/tex] $.

What is the cost?

The concept of cost is a key concept in Economics. It refers to the amount of payment made to acquire any goods and services.

Here given that,

Aarav has budgeted $ [tex]300[/tex] to spend on hanging planters and raised garden beds. Each hanging planter costs $ [tex]16[/tex], and a raised bed costs [tex]1. 5[/tex] times as much as a hanging planter.

So,

The total cash he used to buy the hanging planter is [tex]16(1.5)=24[/tex]$.

So, the budgeted cost left in his saving is [tex]300-24=276[/tex] $.

Hence, the budgeted cost left in his saving is [tex]300-24=276[/tex] $.

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Answer:

f(4) = 99

Step-by-step explanation:

22 times 4 is 88, 88 plus 11 is 99.

Answer:

I think its (0,3), (1,-6), (2,-15)

Step-by-step explanation:

Answer:

neither

Step-by-step explanation:

parallel lines will have the same number next to the x

perpendicular lines will have the negative reciprocal number next to the x

(for example 2 and -1/2 are negative reciprocals)

y−4=3(x+5)

parenthesis first

y−4=3x+15

y=3x+19

y+3= −13(x+1)

y+3= −13x−13

y= −13x−16

3x and −13x are neither the same nor negative reciprocals of each other so

the answer is neither