Given
x+y=3
2x-y=6
graph
Procedure
A system of linear equations contains two or more equations. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.
The answer is x=3 and y=0
Write the equation of the line parallel to the line created by the equation
y = 3x - 10 that passes through the point (6, 10).
9514 1404 393
Answer:
y = 3x -8
Step-by-step explanation:
The equation will have the same x- and y-coefficients, but a different constant. That constant can be found by substituting the given point values for x and y.
y = 3x +b . . . . . . . given equation with new constant 'b'
10 = 3·6 +b
b = -8 . . . . . . . . subtract 18
The equation of the line is ...
y = 3x - 8
What number is 32% of 100?
Answer:
32
P = 100 × 32%(0.32) = 32
Answer:
32
Step-by-step explanation: You multiply 100 by 0.32 which is 32% as a decimal
Kylan had 1 ⅜ kilograms of fertilizer. He used some to fertilize a flower bed, and he only had ⅔ kilograms left. How much fertilizer was used in the flower bed?
Answer: 17/24
Step-by-step explanation:
let x be the fertilizer used in the flower bed
to find how much he has left
1 3/8 - x = 2/3
the fraction 1 3/8 we can write as 11/8
11/8 - x = 2/3
11/8 -2/3= x
we need the common denominator between 8 and 3, which is 24
33/24-16/24=17/24
simplify this algebraic expression.
y-3/3+12
A.y+11
B.y-5
C.y+13
D.y-11
Answer:
A. y+11
Step-by-step explanation:
-3/3 = -1
12 + ( -1 ) = 11
y + 11
hope this helped :)
The beginning balance of the check register was $492.88. During the month, deposits were made for $210 and $499.88. Checks were
written for $18.25, $19.82, and $309.82. What is the ending balance of the check register?
Note: Round your answer to 2 decimal places.
Answer:
$840.77
Step-by-step explanation:
HURRY Drag each division expression to the correct location on the table.
Solve each division problem, and classify it based on its quotient.
Answer: (In order)
25/4 / 6 1/4 = 1
3 1/7 / 2/7 = 11
5/4 / 1/4 = 5
11 1/4 / 9/4 = 5
8 1/4 / 3/4 = 11
3 1/3 / 10/3 = 1
Step-by-step explanation:
Suzie skydiver, who weighs 650 N, reaches terminal velocity of 80 km/h. The air resistance on Suzie is then
410 N
250 N
650 N
80 N
None of the above
When the person reaches his terminal velocity, the air resistance on person is same as his weight. So the air resistance on Suzie is 650 N. So the option c is correct.
In the given question,
Suzie skydiver, who weighs 650 N, reaches terminal velocity of 80 km/h. We have to find the air resistance on Suzie.
When an object moves through the air, air resistance acts as a force. When a body is moving through the air, this force works in the opposite direction. A frictional force is applied to the moving body by air resistance. Air resistance causes a body's speed to slow down as it moves.
When the person reaches his terminal velocity, the air resistance on person is same as his weight.
The weight of Suzie is 650 N.
So the air resistance on Suzie is 650 N. So the option c is correct.
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Select the correct answer. Simplify the following algebraic expression. √45x^5 A. 9x²√5x OB. 91³√5x² О с. 3x²√5x OD. 3r³√5x²
please help me and can you explain how you got your answer
The simplified form of the given algebraic expression is 3x²√5x. The correct option is с. 3x²√5x
Simplifying an algebraic expressionFrom the question, we are to simplify the given algebraic expression.
The given expression is
√45x^5
First, we will write the given expression properly
The expression written properly is
√45x⁵
Simplifying
√45 × √x⁵
√9×5 × √x⁴×x
√9 × √5 × √x⁴ × √x
3 × √5 × x² × √x
3 × x² × √5 × √x
3x² × √5×x
3x² × √5x
3x²√5x
Hence, the simplified expression is 3x²√5x
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Ryan made a $3180 down payment on a car. The total cost of the car was $7500. He made 36 equal monthly payments to pay the car in full. How much did Ryan pay per month?
.
Determine the value of each of the following expressions
a.
25+310
b.
56−13
c.
45×78
d.
67÷34
-6 4/5 divided by -2/5
Answer:
17
Step-by-step explanation:
1) Convert 6 4/5 to improper fraction. Use this rule: a b/c = ac + b/c.
- 6 * 5 + 4 / 5 ÷ -2/5
2) Simplify 6 * 5 to 30.
-30 + 4 / 5 ÷ -2/5
3) Simplify 30 + 4 to 34.
-34/5 ÷ -2/5
4) Use this rule: a ÷ b/c = a × c/b
-34/5 * 5/-2
5) Cancel 5.
-34 * 1/-2
6) Simplify 34 * 1/-2 to 34/-2.
-34/-2
7) Move the negative sign to the left.
-(-34/2)
8) Simplify 34/2 to 17.
-(-17)
9) Remove parentheses.
17
In ΔFGH, g = 910 cm, mm∠G=98° and mm∠H=51°. Find the length of h, to the nearest 10th of a centimeter.
The length of h is obtained as follows:
h = 714.2 cm.
What is the law of sines?Suppose we have a triangle in which:
Side with a length of a is opposite to angle A.Side with a length of b is opposite to angle B.Side with a length of c is opposite to angle C.The lengths and the sine of the angles are related as follows:
\(\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}\)
The relation for this problem is given as follows:
sin(98º)/910 = sin(51º)/h
Hence the length of h is obtained with cross multiplication as follows:
h = 910 x sin(51º)/sin(98º)
h = 714.2.
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Which reason is the justification for the statement that angle A ≅ angle B?
A) Vertical angles are congruent.
B) Linear angles are equal.
C) Intersecting lines form opposing angles.
D) Lines intersect at one point.
Answer:
A) Vertical angles are congruent.
Below is the graph of y= |xl.
Translate it to make it the graph of y=
v = (x+3| +4.
the equation below represents the total price of Michigan State University per semester where c represents the number of classes and t represents the total cost for the semester including a one time fee for room and board
The equation that represents the total price of Michigan State University per semester is determined by the number of classes taken (c) and the total cost for the semester, which includes a one-time fee for room and board (t).
The equation captures the relationship between these variables and calculates the overall cost for a student attending the university. It is important to note that the equation provides a quantitative representation and does not take into account other factors such as scholarships, financial aid, or additional expenses. Therefore, the equation serves as a useful tool for estimating the total cost of attending Michigan State University, allowing students and their families to plan and budget accordingly for their education.For such more question on equation
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1. Give the rule for translating a point 4 units left and 8 units up. (2 points)
2. After the translation, where is A located? (2 points)
2. After the translation, where is A located? (2 points) Now reflect the figure over the y-axis. Answer the questions to find the coordinates of A after the reflection. 3. Give the rule for reflecting a point over the y-axis. (2 points)
4. What are the coordinates of A after the reflection? (2 points)
5. Is the final figure congruent to the original figure? How do you know? (2 points)
The image of the original figure after the translation and reflection is congruent to the original figure.
Translation over a point is what?A particular type of transformation on the coordinate plane called translation keeps the size of the point or geometrical shape constant while only changing the position. Along the x-axis and y-axis in the coordinate system, the point or the figure can be moved in any direction, including up, down, right, left, and multiple directions.
1. By taking away 4 from the x-coordinate and adding 8 to the y-coordinate, we can translate a point 4 units left and 8 units up.
2. Point A after translation is situated at (-2, 9).
3. We negate the x-coordinate and leave the y-coordinate unaltered to indicate a point over the y-axis.
4. Point B is obtained by reflecting point A over the y-axis (2, 9).
5. Indeed, the resulting representation is consistent with the original figure since the rigid transformations of translation and reflection maintain angles and distances. As a result, the original figure's picture after translation and reflection corresponds to the original figure.
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Marcus designed a large salt-water aquarium in the shape of a rectangular prism. The aquarium has a width of x feet. The length of the aquarium is 5 feet more than the width. The depth of the aquarium is 10 feet less than twice the width. Given the aquarium's volume in cubic feet is 22 times greater than its width in linear feet, what is the depth of the aquarium? Enter your answer in the box. depth = ft
Answer:
2
Step-by-step explanation:
Took the test.
Does standard deviation means independent events
Standard deviation does not mean independent events.
Does standard deviation means independent events?No, the standard deviation is a measure of the spread or variability of a set of data. It measures how much the individual data points in a dataset deviate from the mean or average of the dataset.
Independence, on the other hand, refers to the relationship between two or more events, where the occurrence of one event does not affect the probability of the other event occurring.
Standard deviation is not directly related to the concept of independence. However, when calculating the standard deviation of a dataset, it assumes that each data point is independent and identically distributed. This means that the value of one data point does not affect the value of another data point, and that each data point is drawn from the same underlying distribution.
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Sam is collecting pennies. On the first day of the month, Sam is given 11 pennies. Each day after that he gets 7 more pennies. Which of the following equations defines how many pennies he has after the nth day?
Answer:
he would have 74 pennies i think
Step-by-step explanation:
he already has 11 pennies on the first day and each day after he gets 7 more. so putting that into a equation,specifically y=mx+b, the equation would be y=7x+11. since there are 9 days after that,9 would replace the x value. so you would plug 9 in making the new equation y=7×9+11. all u do now is solve, 7×9 is 63,then plus 11 is 74
The school principal is designing a square courtyard outside of the school, separated into 4
equal spaces. She wants to know the total area of the courtyard.
what is the total area if each smaller space is 5 feet on each side
Answer:
Students will gain an appreciation for the study of mathematics. In ... (I.3.6) The area of the surface of a sphere is described by the formula
Step-by-step explanation:
Correct me if I'm wrong! :)
Answer:
Its 100
Step-by-step explanation:
I took the quiz and got it right
x^4+2x^3-12x^2+14x-5 > 0
The value of x is (-∞, -5) ∪ (1, ∞).
Given is a polynomial, \(x^4+2x^3-12x^2+14x-5 > 0\),
Solving for x,
Factors =
\(x^4+2x^3-12x^2+14x-5\\ \\= \quad \left(x-1\right)^3\left(x+5\right)\)
Therefore,
\(\left(x-1\right)^3\left(x+5\right) > 0\)
\(x < -5\quad \mathrm{or}\quad \:x > 1\)
Hence the value of x is (-∞, -5) ∪ (1, ∞).
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Based on a $600 loan amount, rank the following companies from the lowest to highest annual percentage rate (APR)
The ranking from the lowest to highest APR for the given companies is A, B, D, C.
The correct option is b.
To rank the companies from the lowest to highest Annual Percentage Rate (APR) based on a $600 loan amount, we need to calculate the APR for each company. The formula to calculate APR is APR = (Fees / Loan Amount) * (365 / Terms of Loan).
Let's calculate the APR for each company:
For Company A:
APR_A = ($60 / $600) x (365 / 18) = 0.1 x 20.28 = 2.028%
For Company B:
APR_B = ($80 / $600) x (365 / 12) = 0.1333 x 30.42 = 4.054%
For Company C:
APR_C = ($90 / $600) x (365 / 10) = 0.15 x 36.5 = 5.475%
For Company D:
APR_D = ($110 / $600) x (365 / 14) = 0.1833 x 26.07 = 4.79%
Now, we can rank the companies from the lowest to highest APR:
Company A - APR: 2.028%
Company B - APR: 4.054%
Company D - APR: 4.79%
Company C - APR: 5.475%
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Rachel has $56.00. if she buys 3 steaks at $8.99 each and 2 pounds of potatoes for $5.99 from the grocery store, how much money will Rachel have left?
Answer:
$23.04
Step-by-step explanation:
since each steak is $8.99 and she bought 3 you multiply by 3 then she bought 2 pounds of potatoes for 5.99 so you add that to the cost and then you will get $32.96.To find how much she has left you would subtract this value from $56 since thats the total amount of money she has and then you would get teh answer as 23.04
A rectangular window is 48 in long and 36 in wide. Lisa
would like to buy a screen for the window. The cost of
the screen is based on the number of square feet the
screen is. Use the facts to find the area of the window in
square feet.
Conversion facts for length
1 foot (ft) 12 inches (in)
1 yard (yd) = 3 feet (ft)
1 yard (yd) = 36 inches (in)
2
Х
$
?
\(\\ \sf\longmapsto Area=Length\times Breadth\)
\(\\ \sf\longmapsto Area=48(36)\)
\(\\ \sf\longmapsto Area=1728in^2\)
\(\\ \sf\longmapsto Area=144ft^2\)
\(\\ \sf\longmapsto Area=48yard^2\)
In each rule , copy the chart and fill in the missing parts
Answer:
7. 14
15. 30
28. 56
32. 64
18 36
x 2x
1/2y. y
2x. 4x
x+3 2x+9
Step-by-step explanation:
each out is double the in
What does the law of large numbers mean
Answer:
the law of large numbers is a theorem that describes the result of performing the same experiment a large number of times.
give brainlist
Step-by-step explanation:
Travelling with a current, a boat covers a distance 1.5times greater than travelling against the current in the same amount of time. What is the speed of the boat in still water if the speed of the current is 1.5 mph
What is 1% of 100? will give expert
Answer:0.0001
t means there is a 1% chance you will see a flood like the one on the FEMA flood map each and every year. Since 1% is also "1 out of 100", the term "100-year flood" was adopted because that's easier to talk about than rattling off a bunch of statistics
Step-by-step explanation
16
Find the exact value of x
X =
30
Do the side lengths form a Pythagorean triple?
O Yes
O No
The exact value of x is √1156 and it follows the Pythagorean triple
Finding the exact value of xFrom the question, we have the following parameters that can be used in our computation:
Legs of the right triangle = 16 and 30
Using the pythagoras theorem, we have
Hypotenuse^2 = the sum of the squares of the other lengths
So, we have
x^2 = 16^2 + 30^2
When evaluated, we have
x^2 = 1156
This gives
x = √1156
Hence, the exact value is √1156
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HELP!!!
The vertex of the graph of y = (x - 1)² - 5 is
( __, __ ).
The vertex is (1,-5) as seen in the picture below, where the equation is graphed and the point is selected.