Answers
Step by step
Y1 is y = 4x -9
Y2 is y = 2x - 5
Our coordinates are (2,-1)
To find if the solution is true for each table, plug the solution in for y1 and y2
Table 1
Y1 is -13 = 4(-1) -9 = -13 ✅
Y2 is -13 = 2(-1) -5 = -7 ❌ stop no solution
Table 2
Y1 is -13 = 4(-1) -9 = -13 ✅
Y2 is -7 = 2(-1) - 5 = -7 ✅
Y1 is -9 = 4(0) -9 = -9 ✅
Y2 is -5 = 2(0) - 5 = -5 ✅
Y1 is -5 = 4(1) -9 = -5 ✅
Y2 is -3 = 2(1) - 5 = -3 ✅
Y1 is 3 = 4(2) - 9 = ❌
Y2 is 1 = 2(2) - 5 = ❌ stop no solution
Table 3
Y1 is -13 = 4(-1) -9 = -13 ✅
Y2 is -7 = 2(-1) - 5 = -7 ✅
Y1 is -9 = 4(0) -9 = -9 ✅
Y2 is -5 = 2(0) - 5 = -5 ✅
Y1 is -5 = 4(1) -9 = -5 ✅
Y2 is -3 = 2(1) - 5 = -3 ✅
Y1 is 1 = 4(2) -9 = -1 ❌
Y2 is 1 = 2(2) - 5 = -1 ❌ stop no solution
Table 4
Y1 is -13 = 4(-1) -9 = -13 ✅
Y2 is -7 = 2(-1) - 5 = -7 ✅
Y1 is -9 = 4(0) -9 = -9 ✅
Y2 is -5 = 2(0) - 5 = -5 ✅
Y1 is -5 = 4(1) -9 = -5 ✅
Y2 is -3 = 2(1) - 5 = -3 ✅
Y1 is -1 = 4(2) -9 = -1 ✅
Y2 is -1 = 2(2) - 5 = -1 ✅
Y1 is 3 = 4(3) -9 = 3 ✅
Y2 is 1 = 2(3) - 5 = 1 ✅
This table #4 has all solutions correct
Related Questions
A car is traveling on a small highway and is either going 55 miles per hour or 35 miles per hour, depending on the speed limits, until it reaches its destination 200 miles away. Letting x represent the amount of time in hours that the car is going 55 miles per hour, and y being the time in hours that the car is going 35 miles per hour, an equation describing the relationship is: 55x+35y=200
A: If the car spends 2.5 hours going 35 miles per hour on the trip, how long does it spend going 55 miles per hour?
B: If the car spends 3 hours going 55 miles per hour on the trip, how long does it spend going 35 miles per hour?
C: If the car spends no time going 35 miles per hour, how long would the trip take? Explain your reasoning.
Answers
Answer:
A. The car spends 2.05 hours going 55 miles per hour
B. The car spends 1 hour going 35 miles per hour
C. The trip takes 3.6 hour
Step-by-step explanation:
The equation is
55x+35y=200
Let's solve A
We know the car spends 2.5 hours going 35 miles per hour on the trip, so we put 2.5 in for y and solve for x
55x+35(2.5) = 200
55x + 87.5 = 200
55x = 112.8
x = 2.05 hours going 55 miles per hour
So, the car spends 2.05 hours going 55 miles per hour
Let's solve B
55(3)+35y=200
165 + 35y = 200
35y = 35
y = 1 hour
So, the car spends 1 hour going 35 miles per hour
Let's solve C
We know the car spends no time going 35 miles per hour, so we put 0 in for y and solve for x
55x+35(0)=200
55x = 200
x = 3.6 hours
So, the trip takes 3.6 hour
21
Select the correct answer from the drop-down menu.
2.36 radians E
1.18 radians
B
IF AD= AB
. the ratio of the length of BC to the length of DE is
Reset
Next
Answers
Answer:
the answer should be 3/4
The ratio of the length of arc BC to length of arc DE is calculated as: 1/2.
What is the Length of an Arc?Length of an arc = ∅r, where r is radius, and ∅ is angle measure in radians.
AD = 2/3AB
Length of DE:
∅ = 1.18 + 2.36 = 3.54 radians
r = 2/3AB
Length of arc DE = (3.54)(2/3AB) = 2.36(AB)
Length of BC:
∅ = 1.18 radians
r = AB
Length of arc BC = (1.18)(AB) = 1.18(AB)
Ratio of the length of BC to DE = 1.18(AB) / 2.36(AB) = 1.18/2.36 = 1/2
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8.
Write the linear inequality shown in the graph. The gray area represents the shaded region.
A. y ≥ –3x + 4
B. y ≤ –3x – 4
C. y ≤ –3x + 4
D. y ≥ –3x – 4
Answers
Answer:
C. y ≤ –3x + 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
we know that
The solution of the inequality is the shaded area below the solid line (the gray area)
The slope of the solid line is negative
The y-intercept of the solid line is positive
The equation of the solid line is equal to
therefore
the equation of the inequality is equal to
Calculating the give number summary
Answers
Answer:
.
Step-by-step explanation:
Decompose one number to subtract 726-340
Answers
The subtraction from the given number is = 386
What is subtraction?Subtraction is defined as one of the basic arithmetic operations used to subtract one value from another value.
340 subtracted from 726 = 386.
It means; 726 - 340 = 386
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How to solve 5x 2 7x 4?
Answers
We can solve this equation by using quadratic formula. So we have two solution of given equation.
How do we solve quadratic equation?Write the quadratic equation in standard form a + bx + c = 0. Identify the values of a, b, c. Then write the Quadratic Formula. Then substitute in the values of a, b, c. Then solve and check the solution.
What is quadratic formula?Quadratic formula that gives the solutions of the general quadratic equation a + bx + c = 0 and that is usually written in the form quadratic formula x = [-b ± √(b² - 4ac)] / (2a). So to solve a quadratic equation using quadratic formula just get the equation into standard form a + bx + c = 0 and apply the quadratic formula.
Here we have equation 5-7x+4
where a=5 b= -7 c=4
putting values in the formula
x= -(-7) +[tex]\sqrt{(-7)^2-4(5)(4)/2(5)}[/tex]
x= 7 + [tex]\sqrt{49+80/10}[/tex]
x= 7+[tex]\sqrt{129/10}[/tex]
Hence given values given two solutions.
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Complete question is: How to solve the given quadratic equation?
megan shaded 2/8 of the circle what is another way she could write this fraction
Answers
Answer:
Step-by-step explanation:
2/8 = 1/4
2/8 = 200/800
and so on.
There are an infinite number of possibilities here.
Answer:
1/4
Step-by-step explanation:
2/8 can be simplified to 1/4
2/8 divided by 2/2 = 1/4
but there are also many other ways
10/40,6/24, etc
SAFF (Students against Fatty Food) is a group of students who are protesting the food in high school cafeterias. At a recent rally, the students covered the first 40 yards by 40 yards of the football field. There were 24 students in each 8 feet by 8 feet square. How many students were present at the rally?
Answers
By unitary method 24 students/(64/9) yards squared times 1600 yards squared equals 5400 students.
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
Students traverse a total area of 40 yards by 40 yards, or 1600 yards.
24 kids covered an area of 8 ft x 8 ft, or (8 ft x 1 yd/3 ft)2 = [(8/3) yard]2 = (64/9) yd.
The number of students present is calculated by multiplying the number of students per yard, or 24 students/(64/9) yd2, by the area that students cover.
Therefore: 24 students/(64/9) yards squared times 1600 yards squared equals 5400 students.
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What are 3 completed examples for systems of equations?
Answers
Answer:
There are three ways to solve systems of linear equations: substitution, elimination, and graphing.
Last year there
were 620 7th grade
students. This year
enrollment has
increased by 105%.
How many 7th
grade students are
there this year?
Answers
Answer: 1271
Step-by-step explanation:
620 + (105% × 620) =
620 + 105% × 620 =
(1 + 105%) × 620 =
(100% + 105%) × 620 =
205% × 620 =
205 ÷ 100 × 620 =
205 × 620 ÷ 100 =
127,100 ÷ 100 =
1,271
Can someone help me find x for both
Answers
On solving the provided question, we can say that - the value of x in triangle ABD is = 60
What is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.
here, in triangle ABD
x = 60
as its acute angle
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The area of a circle is 497 cm2. What is the circumference, in centimeters? Express
your answer in terms of .
FE
Answers
Answer:
14π
Step-by-step explanation:
Area πr^2= 49π sq cm
so r= 7 cm
perimeter= 2πr= 14π
HELPPPPPPPPPPPPPPP PWEASEEE!!!
Sean is determining the number of quarters equal to different dollar amounts.
There is a proportional relationship between the amount of money in dollars, x, and the number of quarters, y.
Answers
PLEASE HELP,
10 POINTS + BRAINLIEST
Find the volume of the sphere. Round your answer to the nearest tenth.
Use 3.14 for
r = 7 in.
The volume of the sphere is about ____in^3.
Answers
3.14 pi
radius: 7in.
Result units: in^3, this is the results of in used for radius; no conversion needed
Formula volume of a sphere: (4/3)* pi * r^3
(4/3)(3.14)(7)(7)(7)
(4/3)(3.14)(343)
(4/3)(1077.02)
(1.3)(1077.02) \\repeated 3 infinite
1436.026666\\repeated 6inf
The volume of the sphere is about 1436.0266 in^3
Answer:
Step-by-step explanation:
1436 is the answer
15 A manufacturer needs 51 pounds of plums to make 27
quarts of prune juice. How many pounds of plums
would the manufacturer need to make 18 quarts of prune
juice?
Answers
Answer:
34 pounds
Step-by-step explanation:
51 pounds of plum = 27 quarts
x pounds of plum = 18 quarts
(cross multiply)
27x = 918
divide both sides by 27
x=34 pounds
what is the area of this figure?
Answers
Answer:
357.5cm^2
Step-by-step explanation:
please help will mark brainliest
Answers
After diving the polynomials, the quotient and remainder is q(x)=-x^2+1 and r(x)=-1 respectively.
What are polynomials?
The word "polynomial" is derived from the Greek words "poly" and "nominal," which combined translate to "many phrases." There is no limit to the number of terms that can exist in a polynomial.
The polynomials are -
a(x)=-x^4
b(x)=x^2+1
Divide a(x) by b(x).
-x^4/x^2+1 = -x^2+1 with remainder as -1.
The quotient is obtained as q(x)=-x^2+1 and the remainder is r(x)=-1.
The given equation is -
a(x)/b(x)=q(x)+[r(x)/b(x)]
Plugging in all the values -
-x^4/x^2+1=-x^2+1+[-1/x^2+1]
[-x^4/x^2+1]-[-1/x^2+1]=-x^2-1
-x^4+1/x^2+1=-x^2-1
-x^4+1=[-x^2+1][x^2+1]
-x^4+1=(-x)^2[x^2+1]+(1)[x^2+1]
-x^4+1=-x^4-x^2+x^2+1
-x^4+1=-x^4-1
So, LHS=RHS is proved using the equation.
Therefore, the quotient is q(x)=-x^2+1 and the remainder is r(x)=-1.
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7: There are 13 visitors at Al Shaheed Park today. This is 20 % of the normal
amount of visitors. How many visitors would there normally be today?
Answers
Answer:
65
Step-by-step explanation:
20% is 1/5 of 100.
multiply 13 by 5 to get the original amount of numbers. you can proof check it by doing
13/65 which is 0.2. multiply the decimal by 100 and you get 20. which is 20%
help if you want brianleist!! :) uhm don't mind update- NO LINkS- Thank you to those who help! :)
Answers
Answer:
Box 2 :)
Step-by-step explanation:
BRAINLIEST FOR THIS QUESTION
A shop sells orange juice in the following ways: 500 ml bottle for £1.40 2 litre carton for £2.50 each or 2 cartons for £4.50 3 litre carton for £3.50 What's the cheapest way of buying exactly 7 litres with no extra? Find the amount of each type of bottle or carton you need and the total cost of buying 7 litres.
Answers
The cheapest way of buying exactly 7 litres with no extra is buying 500 ml bottle for £1.40
The amount of buying 7 litres of orange juice at the cheapest buy is £2.52
What is the cheapest buy?500 ml bottle for £1.40
Convert ml to liters:
500 ml = 0.5 liters
Unit rate = 0.5/1.40
= £0.36 per liter
2 litre carton for £2.50
Unit rate = 2/2.50
= £0.8 per liter
2 cartons for £4.50
Unit rate = 2/4.50
= $0.44 per carton
3 litre carton for £3.50
Unit rate = 3 / 3.50
= £0.86 per liter
The cheapest buy per liter of the orange juice is buying 500 ml bottle for £1.40.
Therefore, the cost of 7 liters at the cheapest buy
= £0.36 per liter × 7
= £2.52
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help me with this!!! Please please
Answers
Answer:
about 154.3
Step-by-step explanation:
school has 8 periods a day each of 45 minutes’ duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?
Answers
Answer:
40 min per period
Step-by-step explanation:
When it has 8 periods :
Total time = 45 min per period for 8 period
Total time = 45 × 8 min
When it has 9 periods : let each period be of x min
Total time = x min per period for 9 period
Total time = x × 9 min
As total time remains same,
45 × 8 = x × 9
5 x 8 = x
40 = x
What is the sum in simplest form?
4.5 + 1 3/5
Answers
Answer: 6 1/10
Step-by-step explanation:
Round your answers to the nearest hundredth.
Identify the similar triangles. Then find the value of x.
Answers
Answer:
I uploaded the answer to^{}
a file hosting. Here's link:
bit.^{}
ly/3gVQKw3
How do you solve an acute triangle using trigonometry?
Answers
An acute triangle is a triangle with all angles measuring less than 90°.
To solve an acute triangle using trigonometry, we need to know the length of at least one side and at least one angle of the triangle.
For example, let's assume the triangle has side lengths a = 6, b = 8, and we know the angle A = 30°.
First, we can use the Law of Cosines to calculate the length of the third side, c:
c² = a² + b² - 2abcos(A)
c² = 6² + 8² - 2(6)(8)cos(30°)
c² = 64 - 96cos(30°)
c² = 64 - 48
c² = 16
c = 4
Now we can calculate the other two angles, B and C, using the Law of Sines:
sin(B) = sin(A) * c/a
sin(B) = sin(30°) * 4/6
sin(B) = 0.5 * 2/3
sin(B) = 0.3333
B ≈ 19.47°
sin(C) = sin(A) * c/b
sin(C) = sin(30°) * 4/8
sin(C) = 0.5 * 0.5
sin(C) = 0.25
C ≈ 14.04°
Therefore, the three angles of the triangle are A = 30°, B = 19.47°, and C = 14.04°, and the three sides are a = 6, b = 8, and c = 4.
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Find the radius r of the circle. Round your answer to the nearest tenth.
Answers
Answer:
it might be 2.6
Step-by-step explanation:
im assuming the 16.3 is the circumfrence, so if you follow the formula for circumfrence (2πr) the radius would be 2.6. hope this is correct
The radius r of the circle is 4.4 yd .
What is sector of circle?A circular sector, also known as circle sector or disk sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.
What is length of arc?For a circle, the arc length formula is θ times the radius of a circle.
Arc Length = 2 π r (θ/360°)
where,
r = radius of circle
θ = angle of Sector
According to the question
Arc Length of circle = 16.3 yd
Angle of sector= 240°
By using arc length formula
Arc Length = 2 π r (θ/360°)
substituting the value
16.3 = 2π r (240°/360°)
16.3 = 2π r * [tex]\frac{2}{3}[/tex]
16.3 * 3 = 4π r
54.9 = 4π r
As π = [tex]\frac{22}{7}[/tex]
54.9 = 4 * [tex]\frac{22}{7}[/tex] r
54.9 * 7 = 88 r
384.3 = 88 r
r = 4.4 yd
Hence, The radius r of the circle is 4.4 yd .
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You have a pitcher that holds 35.2 oz. of iced tea. If each glass holds 8.8 ounces, how many glasses can you completely fill?
Answers
Answer: 4
Step-by-step explanation:
35.2/ 8.8= 4
4
What value of n makes this equation true?
0.7n + 0.8n = 2.1
A. n = 0.60
B. n = 1.40
C. n = 3.15
D. n = 3.60
Answers
0.7n+0.8n=2.1
1.5n=2.1
n=1.4
Therefore, the answer is B.
Answer:
B). n = 1.40
Step-by-step explanation:
0.7n + 0.8n = 2.1
(0.7n + 0.8n) = 2.1
1.5n = 2.1
/1.5 /1.5
n = 1.40
hope this helped!
Devin gets paid £130 in 9 hrs. How much would he get paid for:
a)1 hour?
b) 30 mins?
c)2 hrs and 30 mins?
Answers
A) £14.44
B) £7.22
C) £36.10
Homework please help
Answers
Answer:
c. infinitely many solutions
Step-by-step explanation:
hope this helps :)