Answers
The form of the equation of the line is
y=mx+b
where m is the slope and
b is the y-intercept
In our case
m=3/2
and
b=-5
the equation of the line is
y=3/2 x -5
In order to graph we need at least another point and connect it with the y-intercept
if x=2
y=3/2 (2)-5=3-5=-2
y=-2
The point is
(2,-2)
Then we can graph the line
Related Questions
Round 32020.20 to the nearest tenth
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We have to round 32020.20 to the nearest tenth.
In this case, the number is expressed with decimals up to the hundred (2 decimals).
As the decimals in the hundreds is 0, we don't even need to round it, as we can ignore this and write the number as:
[tex]32020.2[/tex]In this case, the decimal is in the tenths without the need of rounding.
Answer: 32020.2
A skateboarding ramp is 11in. high and rises at an angle if 23⁰. How long is the base of the ramp? Round to the nearest inch *round to the nearest integer as needed*
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Use graphs to find the set.(−2,4) ∪ [−1,6]Im not for sure on how to solve the set?
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Answer:
A. The set is {-1, 0, 1, 2, 3, 4, 5, 6}
Explanation:
Note the following;
*When we use parentheses or open brackets, ( ), in an interval notation, it signifies that those points are excluded in the set.
*When we use closed or square brackets, [ ], in an interval notation, it signifies that those points are inclusive in the set.
*The union symbol (U) is used to join two intervals together.
Given the interval notation, (−2,4) ∪ [−1,6], since there -2 and 4 are in parentheses, it means that they are not included in the set while -1 and 6 are included in the set since they are in square brackets. So the members of the set can be represented in a graph as;
1/4 -86.205/4.121121112....123253^2/5 [tex] \sqrt{ \frac{4}{9} } [/tex][tex] \sqrt{20} [/tex]-1/2[tex]\pi[/tex].1223334444....16666....[tex] ^{3} \sqrt{27} [/tex][tex] - \sqrt{25} [/tex][tex]3\pi[/tex][tex] \binom{12}{4} [/tex][tex] \sqrt{17} [/tex]Okay finally tell me which numbers go in :Natural NumbersWhole Numbers Integers Rational Numbers Irrational Numbers
Answers
Natural numbers are the non-negative integers
So we will put inside its circle all the positive integers and zero
Let us find them using the 1st picture
there are 0 and square root 36 because its value is 6
Whole numbers are positive numbers only
So we can put 0 in a natural circle and 6 in the whole part and 12/4 because it equals 3
Integers are positive and negative whole numbers
We have -8 and - square root 25 because it equals -5
So put -8 and - square root 25 in the integer circle
Rational numbers are all numbers can but in the form of the fraction
So we will choose the number with decimal or fraction
6.2, -1/2, 2.21 on the rational part
The rest of the numbers are irrational numbers
Put them in the part of irrational numbers
Which choice is equivalent to the quotient shown here when x > 0?A.2xB.2x2C.D.
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Given
[tex]\sqrt{22x^6}\div \sqrt{11x^4}[/tex]Solution
[tex]\begin{gathered} \frac{\sqrt{22x^6}}{\sqrt{11x^4}}=\sqrt{\frac{22x^6}{11x^4}} \\ \\ =\sqrt{\frac{22x^6}{11x^4}} \\ \\ =\sqrt{2x^2} \\ \\ =x\sqrt{2} \end{gathered}[/tex]The final answerOption C[tex]x\sqrt{2}[/tex]Please helpWrite 78 percent as fraction In simplest form
Answers
Step 1:
In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".
Step 2:
[tex]\begin{gathered} 78\text{ percent = }\frac{78}{100} \\ To\text{ write to the simplest fraction} \\ \text{Divide both the numerator and the denominator by 2} \\ \frac{78}{100}\text{ = }\frac{39}{50} \end{gathered}[/tex]Final answer
[tex]\frac{39}{50}[/tex]a single pump is filling a storage container with water at a rate of 60 gallons per minute. after 30 minutes, an additional pump turns on and the container begins to fill at a total rate of 130 gallons per minute for an additional 30 mins. the container already had 1500 gallons of water when it began to be filled a) create a graph showing the amount of water the tank contains for the first 60 minutes b) write a piecewise defined functions for the volume, V, as a function of time, t, measured in minutes
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Now we graph the piecewise defined function:
BD is the perpendicular bisector of ac,ac=10and bc=7 find the length of ad and ab
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Since, BD is the perpendicular bisector of AC. So, AD = 1/2(AC) = 5.
Since, BD is the perpendicular bisector of AC and BC is not equal to AC. So, triangle ABC is an isosceles triangle. Therefore, AB = BC = 7.
Solve (x - 5)2 = 3.O A. x = -51 1/3O B. x = 3 15O C. x = 5+:13O D. x = 8 and x = -2
Answers
In order to solve the given expression follow these steps:
1. Take the square roots on both sides in order to get rid of the power on the left side:
√(x-5)² = ±√3
x - 5 = ±√3
2. add 5 on both sides:
x-5 + 5 = 5 ±√3
x = 5 ±√3
Then, the solution is x = 5 ±√3
I have no clue how to graph inequalities and find the solution
Answers
In the graph we can see two line y=2 and y=x.
Also, we know that there is a system of inequalities and the blue area in the graph represent the solutions for the system.
We can see that the blue area is above the line y=2, thats mean one inequality is:
[tex]y\ge2[/tex]So, any points that y-coordinate is greater than or equal than 2 satisfy the inequality.
Also we can see that the blue area is bellow the line y=x and the line is a dotted line, this last means the inequality do not take take value in the line. So, the second inequation is:
[tex]ySo, the points that satisfy the system of inequalities are above the line y=2 and bellow the line y=x and not touch the line y=x.a. 20% of 60 is ____ d. 50% of 90 is b. 25% of _____ Is 6 e. 10% of _ is 7c. _____% of 100 is 14 f. 30% of 70 is _
Answers
20% of 60 is 12
25% of 24 is 6
14% of 100 is 14
50% of 90 is 45
10% of 70 is 7
30% of 70 is 21
a. 20% of 60 is 12 because 60x20/100 = 60x0.2 = 12
b. 25% of 24 is 6 because 6x100/25 = 24
c. 14% of 100 is 14 because 100x(14/100) = 14
d. 50% of 90 is 45 is 14 because 90x50/100 = 45
e. 10% of 70 is 7 because 7x100/10 = 70
f. 30% of 70 is 21 because 70x30/100 = 21
n% of m is (n x m)/100
For example: 20% of 60 is (20 x 60)/100 = 1200/100 = 12
I'm not entirely sure what I'm supposed to be doing
Answers
The intercept between both lines, represents the solution to the system compounded by the equations for both lines. It means (3,4) is the solution to both lines A and B.
In a study of 200 students under 25 years old one-fifth have not yet learned to drive. What percentage can drive?
Answers
Gonna owns 5/6 of section of land. she plants peanuts on 2/3 of her land what fraction of the entire section is planted with gonnas peanuts Please put your answer in simplest form
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We know that
• Gonna owns 5/6 of the section of land.
,• She plants peanuts on 2/3 of her land.
We have to find 2/3 of 5/6, let's multiply these fractions.
[tex]\frac{2}{3}\cdot\frac{5}{6}=\frac{2\cdot5}{3\cdot6}=\frac{10}{18}=\frac{5}{9}[/tex]Therefore, Gonna plants peanuts on 5/9 of her land.find the equation of line with points (3, 3) that passes through a slope of 2/3
Answers
hello
the standard equation of a straight line is given as y = mx + b
y = y-coordinate
x = x-coordinate
m = slope
b = intercept
the points given are (3, 3) and the slope = 2 / 3
y = mx + b
y = 3
x = 3
let's substitute in our values and solve for b
[tex]\begin{gathered} y=mx+b \\ 3=\frac{2}{3}(3)+b \\ 3=2+b \\ b=3-2 \\ b=1 \end{gathered}[/tex]since we have the value of the slope, we can simply write the equation from y = mx + b to y = 2/3x + 1
[tex]y=\frac{2}{3}x+1[/tex]this is the equation of the line.
but we can further simplify this by looking for the LCM of the denominators of the independent variables
[tex]\begin{gathered} y=\frac{2}{3}x+1 \\ y=\frac{2x+3}{3} \\ \text{cross multiply both sides} \\ 3y=2x+3 \end{gathered}[/tex]the equation can be rewritten as 3y = 2x + 3
please help me solve this step by step with wrriten explanation. context and words help me
Answers
The amount of garbage, G produced by a city with population p is given by G = f ( p ) . G is measured in tons per week, and p is measured in thousands of people. The town of Tola has a population of 45,000 and produces 6 tons of garbage each week. Express this information in terms of the function f. f = 6 / 45 f ( 45 ) = 6 f ( 6 ) = 45
Answers
Solution:
Given that the amount of garbage G produced by a city with population p is expressed as
[tex]\begin{gathered} G=f(p) \\ where \\ G\text{ is measured in tons per week} \\ p\text{ is measured in thousands of people} \end{gathered}[/tex]If a town Tola has a population of 45,000 and produces 6 tons of garbage per week, this implies that we substitute these parameters into the above equation.
This gives
[tex]6=f(45)[/tex]Hence, in terms of function f, the information is expressed as
[tex]f(45)=6[/tex]The second option is the correct answer.
7. Which simplified expression represents the expression below? * 102" (102c)-2 31-5 10^-1x^2 1/4 0 x2 o none of these
Answers
You have the following expression:
10x⁴(10x)⁻²
in order to simplify the previous expression proceed as follow:
10x⁴(10x)⁻² = 10x⁴/(10x)² = 10x⁴/10²x²
by simplifying the previous fraction, you obtain:
10x⁴/10²x² = 10⁻¹x²
where you have taken into account that the quotient between factors with different exponents, is equal to the same factor powered to the difference of the exponents:
Hence, the answer is:
10⁻¹x²
You'll have to make a series of transformations to make this parabola fit the bridge. Describethem
Answers
The transformations are as follows:
- There is firstly a vertical reflection
- There is a vertex shift from (0,0) to the (-2, 3) position (approximate)
- There is also a horizontal compression of the parabola.
A cylinder has a height of 44.5 inches and a radius of 22.8 inches. Which of the following measurements is closest to the lateral surface area of the cylinder in square inches? F 6,374.9 in.2 G 145,274.5 in.? H 3,185.8 in. ? J 2,029.2 in.2 2.
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We have the following:
The formula for the lateral surface area of a cylinder is as follows
[tex]LSA=2\cdot\pi\cdot r\cdot h[/tex]replacing:
[tex]\begin{gathered} LSA=2\cdot3.14\cdot22.8\cdot44.5 \\ LSA=6371.7 \end{gathered}[/tex]Therefore the answer is F 6374.9 in ^ 2
If a car travels at a speed of 45 mi/h fort hours, then travels 65 mi/h for m hours, what does theexpression 45t +65m represent?The expression represents the (select)
Answers
total distance travelled by the car (option D)
Explanation:
When speed = 45mi/h
time = t hours
when speed = 65mi/h
time = m hours
45t +65m means 45mi/h × t + 65mi/h × m
The formula that relates the speed and the time is distance:
speed = distance/time
distance = speed × time
The distance for the first speed and time = 45mi/h × t hours = 45t
The distance for the second speed and time = 65mi/h × m hours = 65m
The sum of the two distance = distance covered by the car = 45t + 65m
Hence, we can say the expression 45t +65m represents the total distance travelled by the car (option D)
When planning a cruise, you have a choice of 2 destinations: Cozumel (C) or Jamaica (J); a choice of 3 types of rooms: balcony (B), inside view (I), or ocean view (O); and a choice of 2 types of excursions: water sports (W) or horseback riding (H). If you are choosing only one of each, list the sample space in regard to the vacations (combinations of destinations, rooms, and excursions) you could pick from.
Answers
Given:
When planning a cruise:
you have a choice of 2 destinations: Cozumel (C) or Jamaica (J)
and a choice of 3 types of rooms: balcony (B), inside view (I), or ocean view (O)
and a choice of 2 types of excursions: water sports (W) or horseback riding (H)
We will list the sample space in regard to the vacations
First, we will draw the tree diagram
The tree diagram will be as shown in the following figure:
So, there are 12 outcomes you could pick from.
The sample space will be as follows:
CBW, CBH, CIW, CIH, COW, COH
JBW, JBH, JIW, JIH, JOW, JOH
use only commutative property of addition to rewrite the expression 619+59
Answers
Given:
Given the sum 619+59
Required: Another expression using commutative property and the simplified expression
Explanation:
The commutative property says that for any two real numbers,
[tex]a+b=b+a[/tex]So, the expression 619+59 can also be written as 59+619, using commutative property.
Now, find the sum.
So, the sum is 678.
Final Answer: Another expression of 619+59 is 59+619 and its sum is 678.
write a ratio that is equivalent to the ratio: 9/12
Answers
the given ratio is
9/12
divide numerator and denominator by 3
[tex]\frac{\frac{9}{3}}{\frac{12}{3}}=\frac{3}{4}[/tex]so the equivalent ratio is 3/4
Recommendations Skill plans Math Common Core Fifth grade > * P.7 Guess-and-check problems DAJ Kurt bought 28 stamps at the post office. The number of stamps in each book was 7 times as large as the number of books. How many stamps were in each book? stamps Submit
Answers
28/7 = 4
There were 7 stamps in each book
5Graph the solution to – 2 < 2d – 2 < 6 -
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Answer:
Explanation:
Here, we want to solve and graph the compound inequaqlity
We start by solving the sides, one at a time
[tex]\begin{gathered} -2\text{ < 2d-2} \\ -2+2\text{ < 2d} \\ 0\text{ < 2d} \\ 0\text{ < d} \end{gathered}[/tex]For the second part, we have:
[tex]\begin{gathered} 2d-2\text{ }\leq\text{ 6} \\ 2d\leq\text{ 6 + 2} \\ 2d\leq\text{ 8} \\ d\text{ }\leq\frac{8}{2} \\ d\leq\text{ 4} \end{gathered}[/tex]Now, let us write the solution in compound from:
[tex]0\text{ < d }\leq\text{ 4}[/tex]Finally, we proceed to plot the graph as follows:
The population of people in a town increases by 100 each year. Which equation represents the situation? Let p represent the amount the population has increased and t represent the number of years.t = 100 + pp = 100 + tt = 100pp = 100t
Answers
From the problem, the population increases by 100 each year.
a constant increase of 100 means that the slope of a line is 100.
Slope is the same as constant increase or rate of increase.
The equation of the line with a slope is :
[tex]y=mx+b[/tex]where m is the slope and b is the initital population.
Since we dont have an initital population, b = 0.
The equation will be :
[tex]y=100x[/tex]It is stated also that P represents the population that has increased. So y will be p.
and t represent the number of years. So x will be t.
That will be :
[tex]p=100t[/tex]ANSWER :
The equation is p = 100t
Translate the following into an inequality:What number divided by five is more than 6?k ≥ 6 ÷ 5k ÷ 5 ≥ 6k ÷ 5 > 65 ÷ k > 6
Answers
We need to translate into an inequality the following problem:
What number divided by five is more than 6?
Let's call k the number we are looking for. Then, that "number divided by five" can be translated as:
[tex]k\div5[/tex]Now, "more than" is represented using the symbol ">" (with the opened end turned to the greater amount.
Thus, since the above expression "is more than 6", this can be translated as:
Answer
[tex]k\div5>6[/tex]Find the area of the triangle with base 15 cm and height 18 cm.
Answers
From the problem, we have a triangle with base of 15 cm and a height of 18 cm.
The area of the triangle is :
[tex]A=\frac{bh}{2}[/tex]where b = base and h = height.
Using the formula above, the area will be :
[tex]A=\frac{15(18)}{2}=135[/tex]The answer is 135 cm^2
Frank's rectangular box of toys has a perimeter of 30 inches. The length is twice as long as the width. Which of the following expressions could be a major step in finding the length? A. Length times Width equals AreaB. 2 times Width plus 2 times Width plus Width plus Width equals 30C. Perimeter equals Width plus Width plus Width plus WidthD. 2 times Length equals Width
Answers
From the given problem,
length is twice as long as the width
length = 2 x width
Note that the perimeter is :
[tex]P=2W+2L[/tex]where W and L are the width and length respectively.
Since L = 2W
Perimeter will be :
[tex]\begin{gathered} P=2W+2(2W) \\ P=2W+4W \\ P=6W \end{gathered}[/tex]Perimeter is equal to 30 inches :
[tex]6W=30in[/tex]From the given choices, only B satisfies this condition.
2W + 2W + W + W = 30
6W = 30
Therefore, the answer is B.