Step-by-step explanation:
using y=mx+c (equation of a line)
equation of one point form
y-y1=m(x-x1)
where y1=8,x1=6,m=1
y-8=1(x-6)
y-8=x-6
y=x-6+8
y=x+2
intercept form=2
or
y=mx+c where y=8,x=6,m=1
8=1(6)+c
8=6+c
8-6=c
2=c
or c=2
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find the three postive consecutive integers such that the product of the smallest and the largest is 17 more than 3 times the median intger
Answer:
find the three postive consecutive integers such that the product of the smallest and the largest is 17 more than 3 times the median intger
Answer: 5, 6, 7
Step-by-step explanation:
Let three positive consecutive integers equal to x, x+1, x+2
Hence,
[tex]\displaystyle\\x(x+2)-3(x+1)=17\\x^2+2x-3x-3=17\\x^2-x-3-17=17-17\\x^2-x-20=0\\x^2-5x+4x-20=0\\x(x-5)+4(x-5)=0\\(x-5)(x+4)=0\\x-5=0\\x-5+5=0+5\\x=5\in\ (x > 0)\\x+4=0\\x+4-4=0-4\\x=-4\notin\ (x > 0)\\5+1=6\\5+2=7[/tex]
The length of a rectangular sign is 3 feet longer than the
width. If the sign's area is 54 square feet, find its length and
width.
(Anyone else taking Algebra 2?)
Answer:
length is 9 and width is 6
Step-by-step explanation:
List the factors of 54 and choose the numbers that only have a difference of 3. In this case it is 6 and 9, then put them in the order they go based on the instructions.
the density of a certain material is such that it weighs 3 grams per fluid ounce of volume. express this density in ounces per liter. round your answer to the nearest hundredth.
The density in ounces per liter is 3.57826 rounding off = 3.58
Density of a substance can be defined as a relationship between the mass and the volume of that substance.
[tex]Density=\frac{Mass}{Volume}[/tex]
For Example if a metal have a mass 0f 7gm and volume as [tex]5cm^{3}[/tex]
[tex]Density=\frac{7}{5} = 1.4g/cm^{3}[/tex]
we know that 1 gram/fluid ounce of volume = 1.19275 ounces/liter
1 gm/fluid ounce =1.19275 ounces/liter
3 gm/fluid ounce = 3*1.19275 ounces/liter
So 3 gm/fluid ounce = 3.57826 ounces/liter
On rounding it to nearest hundredth we get 3.58 ounces/liter
Therefore the density of the material which weighs 3 gm/fluid ounce in ounces/liter is 3.58.
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Bacterial Growth Exponential Function
Bacterial growth is expressed by an exponential function with the formula of [bacteria]=ae^[time]b
What is a function and how can I identify one ?
Answer:
a function is a rule or correspondence by which each element x is associated with a unique element y.
hope this was helpful!
Find q in this equation
A rectangle restaurant kitchen has a perimeter of 38 m in an area of 88 m² what are the dimensions of the kitchen
The dimensions of the kitchen are 11m × 8m.
In geometrical mathematics, a polygon with four sides is referred to as a quadrilateral, while a quadrilateral with two opposed, parallel, and equal sides is referred to as a rectangle.
A rectangle has four equal-sized angles. There are four angles in a rectangle.
A rectangle has 90° angles on all sides.
The rectangle's diagonal is the separation or length of a line segment that connects any two opposed vertices.
Let l and w represent the length and breadth of the rectangular kitchen, respectively.
we know that area of a rectangle = length × width
perimeter of a rectangle = 2(l ₊ b)
Given that the rectangular kitchen has an area of 88 m².
A = 88 m²
l × w = 88 m² ....eq(1)
The perimeter of the rectangle is 38 m.
Perimeter (P) = 38 m
2(l+w) = 38 m
l+w = 19 m
l = 19 - w .....eq(2)
substitute eq(2) in eq(1).
l × w = 88 m²
(19 - w)w = 88
19w - w² = 88
-w²+19w-88 = 0
w²-19w+88 = 0
By factorization method, we get:
w²-11w-8w+88 = 0
w(w-11)-8(w-11) = 0
(w-11)(w-8)
w = 11 or w = 8
If w = 11,
then l = 19-11 = 8m
and If w = 8m
then, l = 19-8 = 11m
so the dimensions are 11m×8m
Hence we get the dimensions of the kitchen are: 11m×8m
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17. The difference of a number and 12 is three. Find the number.
What is the natural number of the square root of 8
One freezer costs $623.95 and uses 90 kilowatt hours (kwh) of electricity each month. A second freezer costs $500 and uses 100 kwh of electricity each month. The expected life of each freezer is 12 years. What is the minimum electric rate in cents per kwh for which the 12-year total cost (purchase price + electricity costs) will be less for the first freezer?
The minimum electric rate in cents per kwh for which the 12-year total cost will be less for the first freezer is 8.61 cents
How to calculate the rate?Let x = minimum electric rate (Cents/kWh)
Total months in 12 years is 12*12 = 144 m
1st freezer
Total cost over 12 years is
623.95 (cost) + (90 kWh/m)*(144 m)(x/100 $/kWh)
= 623.95 + 129.6x
2nd freezer
Total cost over 12 years is
500 + 100*144*(x/100)
= 500 + 144x
For the 1st freezer to cost less over 12 years,
623.95 + 129.6x < 500 + 144x
123.95 < 14.4x
8.61 < x
The minimum rate is 8.61 cents per kWh
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A
C
3.
Find m2LMN if mLME=24°
and mLEMN = 42°
66⁰
18⁰
M
B
D
24⁰
42⁰
Answer:
this question is impossible!11!1!!!!
Step-by-step explanation:
none
8000(1+i)^8 solve for i
Answer:
128,000
Step-by-step explanation:
➟ 8000(1+i)8
➟ (8000 + 8000i)8
➟ 64000 + 64000 = I
➟ I = 128000
To estimate the percent of red marbles in a large bag of marbles, margo will use the following sampling method. She will randomly select a marble, record its color, put it back into the bag, shake the bag to thoroughly mix the marbles, and then repeat those steps. She will perform the procedure many times. What type of sampling method is margo using?.
It is found that Margo are going to be using sampling.
• sampling in statistics may be a a part of the sampling technique within which each sample has an equal probability of being chosen. In other words, a sample chosen randomly is an unbiased representation of the entire population.
Sample strategies is also classified as :
1) Convenient: The sample that is taken from a pool that is readily accessible.
2) Random : When all options are into a hat and draw a number of team
3) Systematic : Every kth element
4) Cluster : once we divide population into groups called clusters, and every element of cluster is surveyed.
5) Stratified : In stratified also divides the population into groups, However just some of the weather of the group are surveyed. per the question Marbles are taken from the bag, and after they're taken they're again placed back within the bag so it depicts sampling.
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Exercise
Respond to the following based on your reading.
1. Which numbers are to the right of 0 on the number line?
2. Which numbers are to the left of 0 on the number line?
3. Is 0 an integer?
4. Draw a number line with integers from –3 to 6.
5. Solve the problems:
a. −8 + 0 =
b. 1 × (−14) =
c. 19 ÷ 1 =
d. 0 × 104 =
e. −21 − 0 =
Answer:
please solve this question 4²×3³×(-1)¹²²
Rachel received a 90$ gift card for a coffee store
That's great for Rachel! I would love a gift card as well where is this at?
What is 9+7+5+6+3+4+1+4+4+4 / 6
Answer:
7.83 is the answer of ur question
A six-sided dice is rolled twice. The sides are labeled 1-6. What
is the probability of rolling an odd number and then rolling a 2?
(Give your answer as a reduced fraction).
A 3/36
B 1/18
C 1/12
D 1/36
The probability of rolling an odd number and then rolling a 2 is 1/12.
Option C is true.
What is Probability?
Probability is measure of the likelihood of an event to occur.
Given that;
A six - sided dice is rolled twice.
The sides are labelled 1-6.
Now,
In a dice odd number are 1, 3, 5
Hence, The probability of rolling an odd number = 3/6
And, The probability of rolling a 2 = 1/6
So, The probability of rolling an odd number and then rolling a 2
= 3/6 x 1/6
= 1/12
Hence, The probability of rolling an odd number and then rolling a 2 is 1/12.
Option C is true.
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Which expression is equivalent to √125x6^y15^z3^?
Answer:
[tex]5x^2y^5z[/tex]
Step-by-step explanation:
Hello!
Expand the cube root:
[tex]\sqrt[3]{125x^6y^{15}z^3}[/tex][tex]\sqrt[3]{125}* \sqrt[3]{x^6} * \sqrt[3]{y^{15}}*\sqrt[3]{z^3}[/tex]Use exponent rule:
[tex]\sqrt[a]{b^c} = b^{\frac ca}[/tex]Simplify[tex]\sqrt[3]{125}* \sqrt[3]{x^6} * \sqrt[3]{y^{15}}*\sqrt[3]{z^3}[/tex][tex]5^{\frac33}*x^{\frac63}*y^{\frac{15}{3}}*z^{\frac33}[/tex][tex]5 * x^2 * y^5 * z[/tex][tex]5x^2y^5z[/tex]The answer is [tex]5x^2y^5z[/tex].
A bag of marbles contains 3 red marbles, 5 blue marbles, and 2 yellow marbles. (Write your answer as a fraction, decimal, and a percent.) What is P(red)? What is P(blue)? What is P(yellow)? What is the most likely outcome when drawing a marble out of the bag? Explain. What is the least likely outcome when drawing a marble out of the bag? Explain.
Answer: 30% blue, 50%red, and 20%yellow
Step-by-step explanation:
Which algebraic expression is equivalent to the expression below?
(4x + 12) + 9x
A.
(4x - 9x) + 12
B.
(4x + 12x) + 9
C.
(4x + 9x) + 12
D.
25x
The algebraic expression that is equivalent to (4x + 12) + 9x is: C. (4x + 9x) + 12.
How to Determine Equivalent Expression?Algebraic expressions are equivalent to each other if they have he same value when simplified or evaluated.
Given the expression, (4x + 12) + 9x, we have:
4x + 12 + 9x
Add like terms
13x + 12
Also, simplifying (4x + 9x) + 12, we give us the following:
4x + 9x + 12
13x + 12
Therefore, the algebraic expression that is equivalent to (4x + 12) + 9x is: C. (4x + 9x) + 12.
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PLEASE HELP ME ANSWER 34,36
need help asap WILL GIVE YOU BRAINLIEST
Thanks!!!
Answer:
14 is an obtuse angle
Step-by-step explanation:
An obtuse angle is an angle that is bigger than 90° degrees but doesn’t reach a straight line at 180°.
Linear distribute properties 6(y+3)=30
Answer:
y=2
Step-by-step explanation:
6 times y and six times 3
6y+18=30
-18 -18
6y=12
divide both sides by 6 and you will get y=2
Someone help me plsss
Answer:
e) 4¢
f) cents
g) Cents 102.9 convert to Dollars 1.029
h) Cents 98.9 convert to Dollars 0.989
i) $56.60
j) $54.40
Step-by-step explanation:
e) is correct. The discount is 4¢ per litre
f) It should be cents, not dollars
g) Without a voucher, the cost of fuel is 102.9¢ = $102.9/100= $1.029
h) Since the discount is 4¢ per litre, the price of fuel comes down froom 102.9 - 4 = 98.9¢ = 98.9/100 $ = $0.989
i) 55L at undiscounted price = 55 x $1.029 = $56.595 rounded up to $56.60
j) With a voucher, there is a discounted price of $0.989 per litre. So for 55L, discounted price with voucher = 55 x 0.989 = $54.395 = $54.40 rounded to the nearest cent
what is the distributive property of 57 x 9
Answer:
I believe the answer is (50 x 9) + (7 × 9)
You have to expand 57 which is 50 + 7 and multiply each by 9. Hope it helps!!
Simplify as far as possible.
2√3+3√3
Answer: 0.51639777..
Step-by-step explanation:
17+|-12--5|--16
show how you got the answer
find the angle measure then classify the angle (I'm very bad at this one and I need help instantly
Answer:
30,70,110
Step-by-step explanation:
12. acute
13. acute
14. obtuse
I WILL GIVE 35 POINTS TO THOSE WHO ANSWER THIS PROBLEM RIGHT NOOOO SCAMS
Using translation concepts, we have that:
4. The type is f(x + k), with k = 3, and a horizontal shift.
5. The type is kf(x), with k = 5 and a vertical stretch.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For graph 4, we have function g(x) is a shift left of 3 units of function f(x), hence:
The type is f(x + k), with k = 3, and a horizontal shift.
For graph 5, we have that for each value of x, g(x) = 5f(x), hence:
The type is kf(x), with k = 5 and a vertical stretch.
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After finding the fish you would like to take home to cook, you discover it cost $2 to wrap the fish and $4.50 per pound. Another vendor is selling another fish for a flat rate of $5 per pound. Set up an equation to determine how many pounds of fish would result in the same cost. Then, solve the equation.