We would prefer to use a graphing calculator because it will give a more exact solution, because it is easier to read, and because it is faster to do.
How to find a solution of a system of linear equations?
There are multiple ways, one of them is by graphing the lines and seeing where the lines intersect.
Now, there are two ways of doing this, graphing by hand and using a graphing calculator.
There are cases where graphing by hand is enough, but is more time-consuming than using a graphing calculator. But there are cases where the intersection happens at a point with irrational values, these cases is really hard to find the solution in a graph by hand (as it can have mistakes and you can't zoom in). While if you used a graphing calculator, you could zoom is as much as you want, so you would get a really good estimation for the solution.
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
A survey was taken of a random sampling of residents of New York City and Los Angeles to compare how many of them own a car. A 4-column table with 3 rows. The first column has no label with entries L A residents, N Y C residents, total. The second column is labeled own a car with entries 3,251; 1,478, 4,729. The third column is labeled do not own a car with entries 869; 6,182; 7,051. The fourth column is labeled total with entries 4,120; 7,660; 11,780. Which statement about the two-way frequency table is true? The survey represents quantitative data. There is a greater percentage of LA residents who own a car than NYC residents who do. The total number of people in the poll who own a car is 4,120. More people in the poll own a car than do not own a car.
Answer:
The correct option is;
There is a greater percentage of LA residents who own a car than NYC residents who do
Step-by-step explanation:
The values are presented as follows;
LA residents who own a car = 3251
NYC residents who own a car = 1478
Total residents who own a car = 4729
LA residents who do not own a car = 869
NYC residents who do not own a car = 6182
Total residents who do not own a car = 7051
Total LA residents sampled = 4120
Total NYC residents sampled = 7660
Total residents of both cities sampled = 11780
Percentage of LA residents who own a car = (3251/4120)×100 = 78.9%
Percentage of NYC residents who own a car = (1478/7660)×100 = 19.3%
The total number of people in the poll who own a car = 4729
Therefore, the correct option is that there is a greater percentage of LA residents who own a car than NYC residents who do.
Answer: B. There is a greater percentage of LA residents who own a car than NYC residents who do.
(Teaser) Is it possible to have a triangle whose all three altitudes intersect at one of the vertices of that triangle?
answer can be.. YES or NO
Answer:
yes
Step-by-step explanation:
yes
please help, I don’t understand.
Answer: The distance from Shively to the tower is 386.1 meters
The distance from Sparzak to the tower is 226.9 meters
The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.
Step-by-step explanation:
You can create a triangle rectangle between the position of each boy, the bottom of the tower and the top of the tower.
From the left kid (i think is Shively), we have that the top angle (formed between the perpendicular line to the tower and the tower) must be:
A = 90° - 40° =50°
(that is a 90° angle divided by the hypotenuse of the triangle, then if one side is 40°, the other angle should be such that when we add bot angles the sum is 90°)
Now, we want to find the opposite cathetus to this angle, so we can use the relation:
Tan(A) = Opposite cath/adjacent cath.
And we know that the adjacent cathetus, the tower, is 324m long.
then:
Tan(50°) = X/324m.
Tan(50°)*324m = X = 386.1m
now for the other kid (the one in the right, Sparzak), the angle will be 90° - 55° = 35°.
So we have:
Tan(35°) = X/324m
Tan(45°)*324m = 226.9m
then:
The distance from Shively to the tower is 386.1 meters
The distance from Sparzak to the tower is 226.9 meters
The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.
Use the Zero Product Property to solve each equation.
2x2 - 5x + 2 = 0
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]4x-5x+2=0[/tex]
Simplify the product. Write the answer in standard form.
(x2 + 4)(x+3)
Answer:
x^3 + 3x^2 + 4x + 12
Having a hard time on these 2
Answer:
3. A = 363.3 mm²
4. A= A = 1122.4 yd²
Step-by-step explanation:
pretty sure these are correct
plz mark brainliest!
A rectangle has a length 3x-1 and a width 2x. What is the perimeterof the rectangle
The perimeter of rectangle is 10x-2
please see the attached picture for full solution
Hope it helps
Good luck on your assignment...
Answer:
10x-2
Step-by-step explanation:
We know the length is 3x-1. There are two lengths in a rectangle. Therefore, we multiply 3x-1 by 2 to get 6x-2. That is the sum of the two lengths.
Now for the width. Just as with the length there are two widths in a rectangle. After multiplying 2x by 2, we get 4x. That is the sum of the two widths.
To get the perimeter, we need to add both the lengths and both the widths together. Using what we did before, we add 4x + 6x - 2 to get 10x - 2 Hope this helps :)
HELP FOR BRAINLIEST ANSWER Ben bowled 126 and 220 in his first two games. What must he bowl in his third game to have an average of at least 190?
Answer:
224
Step-by-step explanation:
I used an average calculator and tried every possibility, adding 224 in results in an anverage of exactly 190.
Answer:
224
Step-by-step explanation:
190x3=570
570-126-220=224
So ben must bowl a 224
30 POINTS FOR THIS ONE
1.
In the equation 0.5x - 8 = 1.5, the decimal coefficient is ___________________.
2.
In the equation 3/4y + 1/2 = 3 1/4, the fractional coefficient is _____________________.
3.
In the equation -2 - 6b = 32, the negative coefficient is ___________________.
4.
In the equation 5x + 9 = 3x, 3x is a like term with _______________________.
Answer:
1. 0.5
2. 3/4
3. -6
4. 5x
Step-by-step explanation:
1. A coefficient is a number that is placed in front of an algebraic term/variable in an expression or equation.
The decimal coefficient is therefore 0.5. It is the coefficient of x.
2. The fractional coefficient is 3/4. It is the coefficient of y.
3. The negative coefficient is -6. It is the coefficient of b.
4. A like term is one which contains the same type of terms as another term.
3x is a like term of 5x, because it contains a numerical term and an algebraic term to the power of 1.
7
jet flies over the Air Force Base at 10:20
am At 10:32 am, the plane passes over the
Ilary Base Station, 120 miles away. How fast
is the aircraft traveling?
Answer:
The speed of aircraft is 600 mph.
Step-by-step explanation:
Given distance = 120 miles
Time for which jet flew : from 10:20 AM to 10:32 AM
Total duration for which jet flew = 10:32 - 10:20 = 12 minutes
(from 10 hours 32 minutes and 10 hours 20 minutes
10 hours gets cancelled, 32 minutes - 20 minutes is 12 minutes)
here time is in minutes, we have to convert it in hours
we know
60 minutes = 1 hour
1 minutes = 1/60 hour
multiplying LHS and RHS by 12
1*12 minutes = (1/60) *12hour
12 minutes = (1/60) *12hour
12 minutes = 1/5 hours
We know
speed = distance / time
distance = 120 miles
time = 1/5 hours
speed = 120 miles/ (1/5 hours)
speed = 120 * 5 mph = 600 mph
The speed of aircraft is 600 mph.
What is the product?
(6 r minus 1)(negative 8 r minus 3)
negative 48 r squared minus 10 r + 3
negative 48 r squared minus 10 r minus 3
negative 48 r squared + 3
negative 48 r squared minus 3
Answer:
The answer is option 1.
Step-by-step explanation:
You have to use Distributive Laws,
[tex]a(b + c) = ab + ac[/tex]
So for this question :
[tex](6r - 1)( - 8r - 3)[/tex]
[tex] = 6r( - 8r) + 6r( - 3) - 1( - 8r) - 1( - 3)[/tex]
[tex] = - 48 {r}^{2} - 18r + 8r + 3[/tex]
[tex] = - 48 {r}^{2} - 10r + 3[/tex]
The product of the expression is (6r - 1) (-8r - 3) is negative 48 r squared minus 10 r + 3.
What is an algebraic expression?Algebraic expression is a mathematical equation in which one or both sides is an algebraic expression, such as 2x + 7y = 3.
According to this question, the following expression is given:
(6r - 1) (-8r - 3)
6r × -8r = -48r²- 1 × -8r = 8r6r × -3 = -18r-1 × -3 = 3Therefore, the product of the expression is -48r² -10r + 3
Learn more about algebra at: https://brainly.com/question/953809
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Hira is rollerblading at 9 m/s. Danni is climbing at 7 m/s. Amelia is cartwheeling at 2 m/s.
Who will travel the furthest in 15s?
Answer:
Hira
Step-by-step explanation:
They are going at the fastest speed as 9 is the most
Answer:
Hira
Step-by-step explanation:
There are 15 boys and 16 girls in Gabriel’s class. One person is chosenat random. What is the probability that the person chosen to hand out books is a girl?
Answer:
16/31 or ≈ 52%
Step-by-step explanation:
1. Find the total students in the class.
15 + 16 = 31
2. Make a fraction (girl/total students)
16/31
Your answer as a fraction is 16/31. If you have to change it to a percent, you would get around 52%.
Solve this equation: 3x –1/5- 2/9x= 124/5
Step 1: Simplify by combining like terms. Which terms can
be combined?
Answer:
x = 9
Step-by-step explanation:
Given
3x - [tex]\frac{1}{5}[/tex] - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] ( add [tex]\frac{1}{5}[/tex] to both sides
3x - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] + [tex]\frac{1}{5}[/tex] = [tex]\frac{125}{5}[/tex] = 25 ← combine x- terms on left side
[tex]\frac{25}{9}[/tex] x = 25 ( multiply both sides by 9 )
25x = 225 ( divide both sides by 25 )
x = 9
What is 1/7
as a decimal?
Give your answer rounded to 2
decimal places.
1/7 as a decimal is 0.1428571429
But if you round that to the nearest 2 decimal place it is 0.14
I really hope this helps.
Which function equation is represented by the graph? f(x)=12(4/3)x f(x)=12(1/2)x f(x)=12(3/2)x f(x)=12(2/3)x
it’s d; f(x)= 12 (2/3)^x
What is x ?
f(x)=−3
x = ?
hich equations are equivalent to y = two-thirds x minus 4 when written in slope-intercept form? Check all that apply. 3 x minus 2 y = 4 2 x minus 3 y = 12 Negative 4 (2 x minus 3 y) = negative 4 (12) 2 (x + 6) = 3 y 2 x minus 3 y = 4
Answer:
[tex]2x - 3y = 12[/tex]
[tex]-4(2x - 3y) = -4(12)[/tex]
Step-by-step explanation:
Given
[tex]y = \frac{2}{3}x - 4[/tex]
Required
Equivalents of the given equation;
We start by multiply both sides of the equation by 3
[tex]3* y = 3(\frac{2}{3}x - 4)[/tex]
[tex]3y = 3 * \frac{2}{3}x - 3 * 4[/tex]
[tex]3y = 2x - 12[/tex] ---- Equation 1
Subtract 3y from both sides
[tex]-3y + 3y = 2x - 12 - 3y[/tex]
[tex]0 = 2x - 12 - 3y[/tex]
Add 12 to both sides
[tex]12 + 0 = 2x - 12 - 3y + 12[/tex]
[tex]12 = 2x - 3y[/tex]
Rearrange:
[tex]2x - 3y = 12[/tex] ---- This is equivalent to the given equation;
Multiply both sides of the above equation by -4
[tex]2x - 3y = 12[/tex]
[tex]-4(2x - 3y) = -4(12)[/tex] ---- This is also equivalent to the given equation;
From the list of given options, only these two are equivalent to [tex]y = \frac{2}{3}x - 4[/tex]
Answer:
Answer:
Step-by-step explanation:
Given
Required
Equivalents of the given equation;
We start by multiply both sides of the equation by 3
---- Equation 1
Subtract 3y from both sides
Add 12 to both sides
Rearrange:
---- This is equivalent to the given equation;
Multiply both sides of the above equation by -4
---- This is also equivalent to the given equation;
From the list of given options, only these two are equivalent to
Step-by-step explanation:
Find the quotient of 1 5/6÷ 2 1/8 Give your answer as a fraction in its simplest form.
Answer:
1 5/6 = 11/6
2 1/8 = 17/8
11/6 ÷ 17/8
11/6 × 8/17
= 44/51
Hope this helps.
Answer:2.67 or 4/2
Step-by-step explanation: it just is
The multiplication property of equality could be used to solve which of the following equations?
4x = 5
X + 5 = -4
8/X= 1
(x + 5)(4x - 1) = 0
Answer:
8/X= 1
Step-by-step explanation:
"8/X= 1" requires the multiplication property of equality for 'x' to get solved.
[tex]\frac{8}{x}=1\\\\\frac{8}{x}*x=1*x \leftarrow\text{Multiplication Property of Equality}\\8 = x \\\\\boxed{x=8}[/tex]
Answer:
Step-by-step explanation:
I would probably say C which is 8/X= 1.
The first one uses the division property of equality.
The second uses the subtraction property of equality.
The third uses multiplication property of equality, which basically means mulitplying both sides of an equation by the same quantity.
The last one does not follow any property that I am aware of or am acquainted with.
Will give brainliest answer
Answer:
[tex]72.16 \: {units}^{2} [/tex]
Step-by-step explanation:
[tex]surface \: \: \: area \\ = {a}^{2} + 2a \sqrt{ \frac{ {a}^{2} }{4} + {h}^{2} } \\ = {5}^{2} + 2 \times 5 \times \sqrt{ \frac{ {5}^{2} }{4} + {4}^{2} } \\ = 72.16 \: {units}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Solve the quadratic equation by taking square roots.
1. 2x 2 - 16 = 0
2. -5x2 + 9 = 0
3. 6x2 - 15 = 27
Answer:
see explanation
Step-by-step explanation:
1
Given
2x² - 16 = 0 ( add 16 to both sides )
2x² = 16 ( divide both sides by 2 )
x² = 8 ( take the square root of both sides )
x = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex]
------------------------------------
2
Given
- 5x² + 9 = 0 ( subtract 9 from both sides )
- 5x² = - 9 ( divide both sides by - 5 )
x² = [tex]\frac{9}{5}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{9}{5} }[/tex] = ± [tex]\frac{3}{\sqrt{5} }[/tex]
-----------------------------------------
3
Given
6x² - 15 = 27 ( add 15 to both sides )
6x² = 42 ( divide both sides by 6 )
x² = 7 ( take the square root of both sides )
x = ± [tex]\sqrt{7}[/tex]
Can someone help me with this question please
Answer:
x <-8
Step-by-step explanation:
3-(2x-5) < -4(x+2)
Distribute
3 -2x+5 < -4x-8
Combine like terms
8 -2x < -4x-8
Add 4x to each side
8 -2x+4x< -4x-8+4x
8+2x < -8
Subtract 8 from each side
8-8+2x< -8-8
2x<-16
Divide by 2
2x/2 < -16/2
x <-8
Answer:
[tex]x < - 8[/tex]
First answer is correct
Step-by-step explanation:
[tex]3 - (2x - 5) < - 4(x + 2) \\ 3 - 2x + 5 < - 4x - 8 \\ 3 + 5 + 8 < + 2x - 4x \\ 16 < - 2x \\ \frac{16}{ - 2} < \frac{ - 2x}{ - 2} \\ x < - 8[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
Please help me i dont understand this lol thank you
Answer:
Positive Correlation
Step-by-step explanation:
The Points on the graph are increasing upward, which would make this a positive correlation.
What is the area, in square units, of the parallelogram shown below? A parallelogram ABCD is shown with height 9 units and base 7 units.
A. 21 square units
B. 56 square units
C. 63 square units
D. 81 square units
Answer: 63 square units
Step-by-step explanation:
Area of a parellelogram = b x h
7 x 9 = 63 square units
Answer:
63
The triangle can be moved to the other side making the parallelogram a rectangle with a length and width of 7 and 9
7 x 9 = 63
Step-by-step explanation:
y = 2x + 4
y = -x + 1
What is the solution to the system of equations?
A. (-1, 2)
B. (-1, 1)
C. (-2, 0)
D. (0, 1)
Which inequality will have a shaded area below the boundary line
Answer:
D.
Step-by-step explanation:
If you calculate the rest of the equations, they all result in y being more than (or equal to) the rest of the inequalities. You are looking for an inequality where y is LESS than the other stuff.
Hope this [kinda] helps!
help sleepyhelp asap
Answer:
The one that has the number of meals in the side and the one that has number of days
Step-by-step explanation:
If it’s 3 meals a day u would want the one that says meals and days now if u look at the chart u can see that this one has 3 meals for one day which is the same as the equation she has
Hope this helps
The volume of a cylinder is 576, cubic inches. The radius of the circular base is 4 inches. What is the height of the cylinder?
Answer:
36 / pi = h
Using 3.14 for pi
h =11.46496815 inches
Using the pi button
h =11.45691559 inches
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the volume and the radius
576 = pi ( 4)^2 h
576 = pi 16 h
Divide each side by 16 pi
576/16 pi = pi 16 h/ 16 pi
36 / pi = h
Using 3.14 for pi
h =11.46496815 inches
Using the pi button
h =11.45691559 inches
Can you Please help me
Answer:
45/12
Step-by-step explanation:
first open the brackets +(-5½)= -5½
-7⅔-5½+8¾ put liketerms together
8¾-5½-7⅔
(find the LCM of the denominator 4,2,3 that is 12)
change the improper fraction to proper fraction 35/4-11/2-23/3.
(multiply by the 12 to make the denominator same)
(35/4x12)-(11/2x12)-(23/3x12)
105-66-92 = -53/12
12
=-45/12
On evaluating the expression - 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex] , we get -4[tex]\frac{5}{12}[/tex].
What are fractions?
Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator. The number on the bottom of the line is called the denominator.
Given is the following expression -
- 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex]
We have the following expression -
- 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex]
On solving, we get -
- 23/3 - 11/2 + 35/4
35/4 - 23/3 - 11/2
(105 - 92 - 66)/12
(105 - 158)/12
-53/12
-4[tex]\frac{5}{12}[/tex]
Therefore, on evaluating the expression - 7[tex]\frac{2}{3}[/tex] + (-5[tex]\frac{1}{2}[/tex]) + 8[tex]\frac{3}{4}[/tex] , we get -4[tex]\frac{5}{12}[/tex].
To solve more questions on fractions, visit the link below-
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