Answer:
Equation form
x=0
y=-3
Point form
(0,-3)
Step-by-step explanation:
The function a(1) =1/2I^2 describes the area of an isosceles right triangle with leg I. Make a table of values for I=1,2,3 and 4. Enter your outputs as decimals
Functions can be represented using equations, graphs and tables.
The function is given as:
[tex]a(l) = \frac 12 l^2[/tex]
When l = 1, we have:
[tex]a(1) = \frac 12 \times 1^2[/tex]
[tex]a(1) = 0.5[/tex]
When l = 2, we have:
[tex]a(2) = \frac 12 \times 2^2[/tex]
[tex]a(2) = 2.0[/tex]
When l = 3, we have:
[tex]a(3) = \frac 12 \times 3^2[/tex]
[tex]a(3) = 4.5[/tex]
When l = 4, we have:
[tex]a(4) = \frac 12 \times 4^2[/tex]
[tex]a(4) = 8.0[/tex]
Represent the above results as a table, we have:
l a(l)
1 0.5
2 2.0
3 4.5
4 8.0
Read more about tables and functions at:
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What is 2,200 yards in miles? Round to the nearest tenth of a mile.
Answer:
1.25 mi
Step-by-step explanation:
First, we want to convert a yard into feet; recall 1 yard = 3 feet.
Then we want to divide that by the number of feet in a mile 1 mile = 5280feet.
So 2200*3 =6600, then divide by 5280
6600/5280 = 1.25 mi
2200 yard is 1.25 miles
There are 1.3 miles in 2,200 yards.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Examples:
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
We have,
2,200 yards ____(1)
1 mile = 1760 yards _____(2)
Now,
From (1) and (2),
1 mile = 1760 yards
Multiply 2,200/1760 on both sides.
2,200/1760 x 1 mile = 2,200/1760 x 1760 yards
1.25 miles = 2,200 yards
Rounding to the nearest tenths.
1.3 miles = 2,200 yards
Thus,
There are 1.3 miles in 2,200 yards.
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Abby rode her bike for 1 and 3/4 hours on Saturday and 1 5/8 hours on Sunday what is the total amount of time she rode her bike on these two days
Answer:
3 3/8 hours
Step-by-step explanation:
Add 1 3/4 and 1 5/8 = 27/8 = 3 3/8
X - 98 + X divided by 2 when x is 300?
will give brainliest
Answer:
441
Step-by-step explanation:
Where you see X, substitute with 300
300-98 + 300÷2
291 + 150
= 441
Answer:
352
Step-by-step explanation:
important info:
x = 300
Solution/Explanation:
300-98+300 ÷ 2=
202+150=
352
Hence, the Answer is 352.
What is an equation of the line that passes through the points (-6, 5) and (6, -7)?
Plz answer
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JK
Solve the inequality d + 6 < 13 for d.
Answer:
[tex]\huge\boxed{\sf d < 7}[/tex]
Step-by-step explanation:
Given inequality is:
d + 6 < 13
Subtract 6 to both sides
d < 13 - 6
d < 7
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807A forest covers 74,000 acres. A survey finds that 0.8% of the forest is old-growth trees. How many
acres of old-growth trees are there?
Answer:
592
Step-by-step explanation:
0.008(74,000)
592
Hope this helps!!
If I am wrong please tell me I enjoy learning from my mistakes:)
Answer:
592
Step by step explanation:
0.8% = [tex]\frac{8}{1000}[/tex]
8 out of every 1000 trees are old
74 * 8 = 592
PLZ HELP
fill in the blanks
Answer:
Step-by-step explanation:
First, to solve the problem, you must distribute the 5 to the (2 + 9). Which ends you up with 10 + 45. Which would give you 55, but we aren't solving it.
So instead, when you are distributing, you are taking the number next to the parentheses (5) and multiplying it into the parentheses like this:
(5 x 2) + (5 + 9).
That is your answer. Hope this helps.
We can describe 3x - 2 as an expression.
How can we describe the parts of the expression that the arrows point to?
3x- 2
Given:
3x - 2
To find:
Describe the parts of the expression
Solution:
3x - 2Let us consider, f (x) = 3x - 2
The standard equation of the straight line is given by, y = mx + c
comparing the given equation with straight line equation, we get,
f (x) = y
m = 3
c = -2
m is the gradient of line
c is the y intercept (the graph crosses the y - axis)
help! ignore pencil work! any comment with a link or answer that dosnt relate or i found out later that thats the wrong answer will be deleted! PLEASE SHOW WORK
Answer: x = 13, Angle ABE = 51°
Step-by-step explanation:
Since angle ABC is 90° and angle EBC is 39°, subtract them.
90° - 39° = 51°
This means that angle ABE equals 51°. Plug in 51° as the y in the equation y = 3(x+4).
51 = 3 (x + 4)
Multiply 3 by x and 4.
51 = 3x + 12
Subtract both sides by 12.
39 = 3x
Divide both sides by 3.
x = 13
Match the example on the left with the corresponding property on the right.
3(x - 2) = 3x - 6
Commutative
3+ (4 + 5) = (3 + 4) + 5
Associative
- 4x - 8 = – 2(2x + 4)
Distributive
4.5.6=6.4.5
(2.3). 7 = 2 · (37)
3(x - 2) = 3x - 6 ---> Distributive
3+ (4 + 5) = (3 + 4) + 5 ---> Associative
- 4x - 8 = – 2(2x + 4) ---> Distributive
4.5.6=6.4.5 ---> Commutative
(2.3). 7 = 2 · (37) ---> Associative
Determine which of the lines if any are parallel or perpendicular
Answer:
Parallel: 6, 1
Perpendicular6,. 1
The table shows the amount of time a delivery truck has been driving and the distance traveled. The total distance traveled is a direct variation of the number of hours. Use the model below to find the slope.
The slope of the line represents that the a distance of 55 miles is covered each hour
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the distance in miles covered in x hours.
Using points (2, 110) and (7, 385) from the table:
[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{385-110}{7-2}\\\\m=55[/tex]
Therefore the slope of the line represents that the a distance of 55 miles is covered each hour
Find out more on linear equation at: https://brainly.com/question/14323743
What is the slope of the line that passes through the points (-4, 3) and (6, -5).
Answer:
-4/5
Step-by-step explanation:
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
m=[tex]\frac{-5-3}{6-(-4)}[/tex]
m=-8/10
m=-4/5
Jessica received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.76 per pound. After buying the coffee, she had $33.44 left on her card. How many pounds of coffee did she buy?
Answer:
Set up an equation
80 dollars is what we started off with
$7.76 per unknown pounds is the money you used
Jessica is left with 33.44 now
80 - 7.76x = 33.44
-80 -80
-7.76x = -46.56
/-7.76 /-7.76
x = 6 pounds
what is 3/4 doubled as a fraction
Answer:
1 2/4.....1 1/2...........6/4
Step-by-step explanation:
add two 3/4.
1 2/4.
It is either 1 1/2, or 6/8. Not enough context is given to decide which, you should be able to figure it out though.
Graph y > 1 -3x
A
B
C
Or D
Answer:
D (You got it right.)
Step-by-step explanation:
Whenever the sign is facing them we will always shade the top. Then we have to find the slope which in this case would be 3(the number that is being multiplied by x. Lastly is the sign does not have a line under it or an equal sign. it won't be a straight line it will have little gaps.
solve for x & y
please and thank you
Answer:
x=10, y=20
Step-by-step explanation:
3x+10=5x-10
2x=20
x=10
4y=5x-10+3x+10
4y=8x
y=2x
y=20
Hope it helps.
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Find the cost of carpeting a 9 foot by 12 foot room at $30 per square yard.
Answer:
Step-by-step explanation:
Multiply the total number of square feet by the cost per square foot of the carpet. If padding isn't included, multiply the cost of the padding by the total number of square feet, and then add the result to the total cost per square foot of the carpet.
108 Sq Ft 12 Sq YdsEstimated Price
$3,240.00 Carpet Cost
$0.00 Padding Cost
$3,240.00 Carpet & Padding Cost
hope that help
HELP !!! HI PLEASE HELP PLEASE I NEED MATH HELP LOL
Answer:
(-1, 0.5)
Step-by-step explanation:
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You are going to a private apple orchard to pick apples. There is a one-time entry fee
that everyone pays, and you also pay a certain amount per pound of apples you pick. It
costs $42 to buy 5 pounds of apples, and it costs $54 to buy 7 pounds of apples.
Based on this information, what is the one-time entry fee?
The one-time entry fee is $12.
In order to determine the one-time entry fee, two equations have to be formed from the information in the question:
x + 5y = 42 equation 1
x + 7y = 54 equation 2
Where:
x = one-time entry fee
y = cost to pick an apple per pound
In order to determine the one-time entry fee, take the following steps:
Multiply equation 1 by 7 and equation 2 by 5.
7x + 35y = 294 equation 3
5x + 35y = 270 equation 4
Subtract equation 4 from equation 3
2x =24
Divide both sides of the equation by 2
x = $12
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Find the difference in lowest terms. 15/19 - 7/19
Answer: 8/19
Step-by-step explanation:
15/19 - 7/19 = 8/19
8/19 cannot be simplified further
The area of a square is 161 m2. Which of the following best represents the perimeter of the square?
Answer:
322m for perimeter
Step-by-step explanation:
161/2 = 80.5
80.5*4 = 322
i think
Tell whether the ordered pair is a solution to the equation. Please show how you solved it.
(4, 4); y = -x + 8
Answer:
The ordered pair is a solution to the equation
Step-by-step explanation:
Plug the ordered pair into the equation as (x,y):
y = -x + 8
4 = -4 + 8
4 = 4
Since both sides are equal to each other, then the ordered pair is a solution to the equation.
Yes, it is a solution to the equation.
Plug in the values 4, for y, and 4, for x. Since there is a negative sign next to x, it turns 4 into -4. So, the equation will look like this: 4 = -4 + 8, add 8 to -4, and you get 4. 4 = 4. 4 = 4 is a true statement, so the pair IS a solution to the equation. Hope this helps!
Jerry is buying hot dogs and hamburgers for his barbeque. Hot dogs cost $7 per pack, while hamburgers cost $12 per pack with taxes included. Jerry can spend a maximum of $70 on the food.
Answer: see below
Step-by-step explanation:you would do $5y + $6y - $50 or $11y - $50
If Hot dogs cost $5 per pack and hamburgers cost $6 per pack you would multiply the amount of packs by the amount of money it costs then you would subtract by the amount he can spend on food therefore the answer being
$5y + $6y - $50 or $11y - $50
my Christmas present to you
thank you very much for this! :)
8. Beth doesn’t begin to receive commission until she reaches $50,000 in sales. Once she does, her commission rate is 12%. If she sells cars totaling $115,000, how much money does she make in commission?
A.$13,800
B.$6,000
C.$7,800
D.$8,400
PLEASE HELP ME
Answer:
The Answer Is A. $13,800
Step-by-step explanation:
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What is the greatest common factor of 14, 30, and 40?
Answer:
1x14 1x30 1x40
Step-by-step explanation:
The length of a rectangle is 3 less than twice the width. If the perimeter is 18 cm, what is the area? Show your work and solve using either substitution or elimination.
Answer:
Step-by-step explanation:
1) "The length of a rectangle is three more than twice the width." This can be written in a math sentence as
L = 2W + 3
where "twice the width" is 2W and "three more" is just adding 3.
2) "Perimeter is 36 inches". Recall the formula for the perimeter of a rectangle
P = 2W + 2L
set the formula to 36 and that gives us our second equation: 36 = 2W + L
then use substitution do solve