The graph below represents the linear equation y = 1/2x - 3.
A second linear equation is represented by the data in the table.
x | y
-1 | 1
0 | 0
2 | -2
3 | -3
What is the solution to the system of equations?
A) (-2, -4)
B) (1, -1)
C) (2, -2)
D) (4, -4)
Answers
Answer:
(2,-2)
Step-by-step explanation:
The answer is the intercept point of both lines, so we need to find the point when both the line touches, with out graphing we can see by the table that point (2, -2) intercepts with the line on the graph.
hope this helps :)
Answer:
C) (2, -2)--------------------------
From the table we see each y-coordinate is the negative of the corresponding x-coordinate. It gives us the second line:
y = - xThe first line is given y = 1/2x - 3, equate both to get:
- x = 1/2x - 3-2x = x - 6x + 2x = 63x = 6x = 2Then the value of y:
y = - x = - 2The solution is (2, - 2).
Related Questions
Help please look at picture!!^^
Answers
9514 1404 393
Answer:
8167.14 m²
Step-by-step explanation:
The radius of the circle is half the diameter, so is 51 m. The area of the circle is given by the formula ...
A = πr²
Filling in the given numbers, we find the area to be ...
A = 3.14(51 m)² ≈ 8167.14 m²
How can you divide polynomials? What are the different methods you can use?Which method do you prefer and why?
Answers
find the volume of a cake with radius of 8 and height of 5
Answers
How many 25 cents are there in $10?
Answers
Answer:
40 quarters are in $10
Step-by-step explanation:
Answer:
40 quarters i think cause there's 4 quarters in a dollar and then 10 x 4 equals 40...
Step-by-step explanation:
Math homework please help look at picture!!
Answers
Answer:
a = 327 m²
Step-by-step explanation:
Area of bed
r = 22/2 = 11
a = 3.14(11²)
a = 379.94
Area of bed and sidewalk
r = 11 + 4 = 15
a = 3.14(15²)
a = 706.5
Area of sidewalk
a = 706.5 - 379.94
a = 327 m² (rounded to whole number
please help fast for my math project and its due today !!!!!!! fasttttb pleaseeee
Answers
1) Note that in the problem above, the complete table is given as:
Team Number: 1 2 3 4 5
Best Jump (ft) 20.6 21.5 20.9 19.4 20.2
2) If Best Jump is denoted as y and Team number as x then, Best Jump is the Range while Team Number is the Domain.
3) For each element of the domain, there is a corresponding element of the range. So this relation is a function.
Why are the Domain and Range Important?Domain and range are crucial characteristics that aid in the definition of a relationship. The domain is a collection of input values.
The independent variable represents these values, which are graphed on the axis of a coordinate graph. A function's range is its collection of output values.
Learn more about Range:
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PLS HELP WILL GIVE BRAINLIEST
If a sprinkler waters 1 over 15 of a lawn in 1 over 3 hour, how much time will it take to water the entire lawn?
5 hours
15 hours
18 hours
45 hours
Answers
Answer:
5 hours
Step-by-step explanation:1 over 5 of an hour is 20 minutes. 20 minutes = 1 over 15 of lawn.
20 x 15 = 300
300 divided by 60 = 5 (hours)
Popcorn at the Movies - Exit Slip
You and a friend go to the movies and decide to share a large bucket of popcorn. Write a story to describe the graph.
Answers
6p – 9 = 9; then p=?
Answers
Answer:
p = 3
Step-by-step explanation:
find the surface area of the prism
Answers
Answer:
62ft²
Step-by-step explanation:
Hi there!
Surface area is calculated by this formula:
2(length*width)+2(width*height)+2(length*height)
*note: we multiply each area by 2, as the prisim has 6 faces, or 2 of each face
we're given a length of 5 ft, a width of 2 ft, and a height of 3ft
now let's calculate the surface area
to find the area of the first two faces:
2(length*width)
2(5*2)
2(10)
20 ft²
now to find the area of the second two faces:
2(width*height)
2(2*3)
2(6)
12 ft²
finally, find the area of the last two faces:
2(length*height)
2(3*5)
2(15)
30 ft²
now add up all the values
SA=20+12+30=62 ft²
your answer is 62ft²
Hope this helps!
I need help solving this problem :) please help
Answers
Answer:
25
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
While taking a hike 80% or 20 of the participants wore hiking boots. How many participants were on the hike?
Answers
20 beacuse you need hiking boots to hike
Answer:
25
Step-by-step explanation:
let x = # of participants on the hike
(.80)x = 20
x = 20/0.80 = 25
A six pack of soda costs $3.00. What is the price per can?
PLEASEEE HELPPPPPPPPPPPPPPPP
MI PAN ZUZUZUZUZUUZU
Answers
Answer:
price per can is 0.5
Step-by-step explanation:
is the pie sign a integer, rational number or irrational number?
Answers
Answer:
pi is considered to be irrational because it is a non-terminating, non-repeating decimal
Step-by-step explanation:
Sharon is painting her house. she needs 5 gallons of brown paint for every 7 gallons of white paint. How many gallons of white paint does she need if she already bought 14 gallons of brown paint?
A. 10 gallons. B. 19.6 gallons
C. 16 gallons. D. 25 gallons
Answers
Answer:
19.6
Step-by-step explanation:
The ratio of brown paint to white paint is, 5:7 or [tex]\frac{5}{7}[/tex] so if he bought 14 gallons of white paint we need to figure out:
[tex]\frac{5}{7} =\frac{14}{x}[/tex]
which we can as it only has one unknown:
5x=14×7
5x=98
x=19.6
So the answer is 19.6
Answer:
B. 19.6 gallons
Step-by-step explanation:
5 Gallons of Brown ⇒ 7 Gallons of White
14 Gallons of Brown ⇒ x
x = 7 into 14 / 5
x = 98 / 5
x = 19.6
HOPE IT HELPS :)
a circular picture whose diameter is 4 decimeter is framed in a rectangle board with dimension of 6 decimeter by 4 decimeter what is the area of the board that can be seen
Answers
Answer is [tex] \bf \dfrac{80}{7} [/tex] dm².
In order to calculate the area of the board that can be seen, we need to calculate the area of the the rectangular board and the circular frame. The difference of both's area is the required answer.
Refer to the attachment for step by step solution. :)
The area of the board that can be seen is 11.44 decimeter square.
What is the area of the board that can be seen?The area of the board that can be seen is equivalent to the difference between the area of the circular picture and the area of the rectangular board.
Area of a circle = πr²
Where :
π = pi = 3.14R = radius = diameter = 4/2 = 23.14 x 2² = 12.56 d²
Area of the rectangle = length x width
6 x 4 = 24
Area of the board that can be seen = 24 - 12.56 = 11.44 decimeter square
To learn more about the area of a circle, please check: https://brainly.com/question/14351152
two equivalent ratios for 17:5?
Answers
Answer:
34/10 is equivalent to 17/5 because 17 x 2 = 34 and 5 x 2 = 1051/15 is equivalent to 17/5 because 17 x 3 = 51 and 5 x 3 = 1568/20 is equivalent to 17/5 because 17 x 3 = 68 and 5 x 3 = 20
Step-by-step explanation:
hii, how are you
-69=7v-6
Please show your work, thank you.
Answers
-75=7v. Divide 7 to both sides
-75/7=v
Answer V= -75/7
Which set of angle measures can be used to construct an acute scalene triangle?
Answers
Answer:
C = 36°, 57°, 87°
Step-by-step explanation:
scalene = all angles are different.
acute = all angles are under 90°.
triangle = all angles add up to 180°.
The only option that works for this is C) 36°, 57°, 87°
Which question is a statistical question?
A. How tall is the oak tree?
B. How much did the oak tree grow in one year?
C. What are the heights of the oak trees in the schoolyard?
D. What is the difference in height between the oak tree and the pine tree?
Answers
Explain: you have to create a chart to demonstrate the grow of the three in one year. A chart is part of statistical
A rectangular playground area is 3,162 meters. The width is 51 meters. Find the length?
Answers
Work Shown:
area = length*width
length = area/width
length = 3162/51
length = 62 meters
Given the example below, determine the property displayed.
7+3=3+7
Answers
Answer:
commutative property of addition
Step-by-step explanation:
commutative property of addition
The commutative property of addition allows you to change the order of the numbers in an addition.
For example, 1 + 2 = 2 + 1
The table at the right shows data representing a polynomial function. Answer A, B, and C.
Answers
a) The degree of the polynomial is 5.
b) The second difference is -726 -126 -6 114 714
c) The difference when they are constant is 480.
What is a polynomial?
A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.
y values: -999 -140 -7 0 1 116 945
1st difference 859 133 7 1 115 829
2nd difference -726 -126 -6 114 714
3rd difference 600 120 120 600
4th difference -480 0 480
5th difference 480 480
The degree of a polynomial is the number of difference where it is constant.
The degree of the polynomial function is 5.
The constant is the 5th difference which is 480.
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Find the area. The figure is not to scale
Answers
Answer:
5.4 cm^2
Step-by-step explanation:
Given,
Height ( h ) = 2 cm
Base ( b ) = 5.4 cm
To find : Area ( triangle ) = ?
Formula : -
Area ( triangle ) = bh / 2
Area ( triangle )
= 5.4 x 2 / 2
= 5.4 cm^2
The function f(x)= square root of x is translated using the rule (x,y) (x-7,y+2) to create f(x)what is the domain of f(x)?
Answers
The value inside the square root should be greater than or equal to zero. Then the domain of the function will be [7, ∞).
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The domain means all the possible values of x and the range means all the possible values of y.
The function is given below.
f(x) = √x
The function after the transformation, then we have
f(x) = √(x - 7) + 2
The value inside the square root should be greater than or equal to zero. Then the domain of the function will be given as,
x - 7 ≥ 0
x ≥ 7
More about the function link is given below.
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PLEASE HELP IMMEDIATELY!!
Answers
Answer:
B
Step-by-step explanation:
45-45-90
find hypotenuse: leg × root 2
[tex]8 \times \sqrt{2} [/tex]
if you could respond with the work shown that would be amazing! i rate people very nicely!! this is due before 7 AM EST time :)
Answers
Answer:
110 in.²
Step-by-step explanation:
The figure is composed of a parallelogram and a rectangle
Therefore, the area of the figure = area of rectangle + area of parallelogram
= Length*Width + base*height
Length = 10 in.
Width = 6 in.
base = 10 in.
height = 5 in.
Area of the figure = 10*6 + 10*5
= 60 + 50
= 110 in.²
CAN SOMEONE HELP PLEASE???
When a car's tire pressure is 30 pounds per square inch (psi), it averages mpg of gasoline. If the tire pressure is increased to 35 psi, the car averages mpg of gasoline. Answer parts a) through c).
If someone drives an average of 21,000 mi per year, how many gallons of gasoline will he save in a year by increasing his tire pressure from 30 to 35 psi?
If gasoline costs $2.00 per gallon, how much will he save in a year?
Assume that there are about 130 million cars in a country and that these changes are typical of each car, how many gallons of gasoline would be saved if all drivers increased their cars' tire pressure?
Answers
Answer:he will save 100 $
Step-by-step explanation:
Answer: $142
Step-by-step explanation: assume 20miles per gallon.
Then 0.05 gallon per mile.
35psi gives 30/35= 0.85 times the surface on the ground, gives square 0.85^2= 0.73 times more deflection so heatproduction a cycle or at same speed. This gives more fuelconsumption.
I once determined that when driving 50mph/80kmph constant, tires use 25% of the total fuel-consumption.
Higher speed same fuelconsumption by the tires, but more bij the higher speed. But to keep it simple only 50mph.
The fuelconsumption at 30 psi 0.05 gpm, 25% by the rolling resistance is 0.0125mpg. 35psi ,0.73 x0.0125=0.0091gpm.
The windforce stays the same 75% of total is 0.0375mpg+ 0.0091= 0.0466mpg,0.0466gpm/0.05= 93% used of fuel with 35psi then at 30 psi.
So 21000mpj x 0.05gpm= 1050 gallon
21000mpjx 0.466gpm= 979gallon.
Saving 1050-979= 71 gallonx $2= $142
Rounded here and there, and other speeds give other divisions, but to show the idea how to calculate it.
Also if 25% used is right is discussable.
5.7935 rounded to the nearest thousand
Answers
Answer:
5.794
Step-by-step explanation:
The seven after the decimal point is the tenth digit, the nine is the hundredth, and the 3 is the thousandth place. Therefore, we look at our neighbor (the number next to the thousandth place) and if its 5 or more we round up, but if its 4 or less we keep it the same.
Nika rolls an 8-sided cube with faces numbered 1 through 8. Which of the following statements is true?
P(even number) = ⅛
P(odd number) = ½
P(number less than 8) = 1
P(the number 9) = 1
Answers
Answer: Statement 2 (P(odd number) = 1/2) is true
Step-by-step explanation:
Statement 1: there are 4 even numbers (2, 4, 6, 8) so therefore a 1/2 chance, not a 1/8. [FALSE]
Statement 2: there are 4 odd numbers (1, 3, 5, 7) so therefore a 1/2 chance, so this is true. [TRUE]
Statement 3: 8 is the biggest number, so there are 7, not 1, numbers less than it. [FALSE]
Statement 4: there is no 9 on an 8 sided cube. [FALSE]