solve the following system using substitution y=x^2+8x+12, y=-2x-13
Step-by-step explanation:
Given equations :-
y = x²+ 8x + 12y = 2x - 13Substitute (2) in (1) :-
2x - 13 = x² + 8x +12x² + 8x + 12 - 2x + 13 = 0 x² + 6x + 25 = 0 x = -6±√6²-4*1*25 /2*1 x = -6 ±√36-100/2 x = -6±√-64 / 2 x = -6 ± 8i / 2 x = -3 ±4iin 4567 which number means ones?
Answer:
7 means ones because it is the units
Step-by-step explanation:
4= thousand
5= hundred
6= tens
7=ones / unit
Use finite approximation to estimate the area under the graph of f(x) = 5^2 and above the graph of f(x) = 0 from X(o) = 0 to x(n )= 14 using b) a lower sum with two rectangles of equal width. in) a lower sum with four rectangles of equal width. in) an upper sum with two rectangles of equal width. iv) an upper sum with four rectangles of equal width.
Finite approximation method of estimating the area under the curve of the
given function makes use of rectangular approximation of the area.
The correct responses are;
i) The estimated area using a lower sum with two rectangles of equal width is 1,715 square units.
ii) The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.
iii) The estimated area using an upper sum with two rectangles of equal width is 8,575 square units.
iv) The estimated area using a upper sum with four rectangles of equal width is 6,431.25 square units.
Reasons:
The given function is f(x) = 5·x²
The given domain is x₀ to x₁₄
i) Estimate using lower sum with two rectangles of equal width;
[tex]Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;[/tex]
f(0) = 0
f(7) = 5 × 7² = 245
A = 0 × 7 + 245 × 7 = 1,715
The estimated area using a lower sum with two rectangles of equal width
is 1,715 square units.
ii) Estimate using lower sum with four rectangles of equal width;
[tex]Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;[/tex]
f(0) = 0
f(3.5) = 5 × 3.5² = 61.25
f(7) = 5 × 7² = 245
f(10.5) = 5 × 10.5² = 551.25
A = 0 × 3.5 + 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 = 3,001.25
The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.
iii) Estimate using an upper sum with two rectangles of equal width;
[tex]Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;[/tex]
f(7) = 5 × 7² = 245
f(14) = 5 × 14² = 980
A = 245 × 7 + 980 × 7 = 8575
The estimated area using an upper sum with two rectangles of equal width
is 8,575 square units.
iv) Estimate using an upper sum with four rectangles of equal width;
[tex]Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;[/tex]
f(3.5) = 5 × 3.5² = 61.25
f(7) = 5 × 7² = 245
f(10.5) = 5 × 10.5² = 551.25
f(14) = 5 × 14² = 980
A = 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 + 980 × 3.5 = 6,431.25
The estimated area using a upper sum with four rectangles of equal width
is 6,431.25 square units.
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Select the two statements that are true about the equation y − 10 = 60(x − 40).
A. The slope of the line is 10.
B. The slope of the line is 60.
C. One point on the line is (40, 10).
D. One point on the line is (10, 60).
Answer:
The answer for this question is B and C
The answer is B and C
The equation above is in point slope form
y-y1=m(x-x1)
Using the form, you can see that m represents the slope which is 60, y1 is 10 and x1 is 40. (40,10)
So thats why B and C is the answer!
brianlist me?
16 31 Here is a compound shape made from two rectangles. - 6 cm 4 cm NOT DRAWN 9 cm TO SCALE 12 cm n ek NO ME (a) Calculate the perimeter of the shape. cm (1 EN UN
Answer:
Well perimeter is adding up all the sides since it's a rectangle the first one is just 6 + 6 + 4 + 4 = 20 cm
The second would be 9 + 9 + 12 + 12 = 42 cm if this is not an option or if it is wrong let me know and I will try again
Find the domain of Log (x-4)
Answer:Domain: ( 4 , ∞ ) , { x | x > 4 }
6.) The candyman spent $100 on his new costume to scare little kids and has $25 left. His
hourly pay is $5. How many hours did he work to afford his new costume, plus the $25?
Answer:
the answer is 30 or 5
Step-by-step explanation:
tvgnfjh
HELPPP THIS IS SO HARD Keegan and Jeff did some research and found that there are approximately 7,492,000,000,000,000,000 grains of sand on Earth. Jeff says that it is about 7 × 10(15) grains of sand. Keegan says that this is about 7 × 10(18) grains of sand.
Guys please add the step by step so they dont know im cheating
Answer:
Keegan is correct.
Step-by-step explanation:
Keegan is correct.
Put a decimal point after the first digit which is 7. Count decimal places there are after the 7, this will be your power of 10. There are 18 decimal places after the 7. This means the answer would be 7 x 10^18.
Basically, Keegan is right
when you present 7,492,000,000,000,000,000 in standard form, it is indeed, 7×10¹⁸, the reason Jeff is wrong is because he only counted Os and not the numbers 492 which Keegan rounded to Os. Ok, to simply this 7×10¹⁵ equals 7 000 000 000 000 000, and 7×10¹⁸ is 7 000 000 000 000 000 000 while is closer to thee original answer than Jeff's response.
Please mark BRAINLIEST if you're satisfied with this explanations.
6. Three cards are drawn from an ordinary deck and not replaced. What is the
probability of getting 3 spades?
We want to find the probability of randomly drawing 3 spades from a standard deck.
The probability of getting 3 spades is 0.0129
Let's see how to get that probability.
A standard deck has 52 cards, 13 of them are spades.
The probability of randomly drawing a spade card is given by the quotient between the number of spades and the total number of cards.
So for the first spade card, the probability is:
p = 13/52
For the second card, take in mind that we already drew a spade card, so now there are 12 spade cards and 51 cards in total, so we have:
q = 12/51
For the final card, there will be 11 spade cards and 50 cards in total, but we will have:
k = 11/50
The joint probability (this is, the probability of getting the 3 spade cards one after the other) is equal to the product of the individual probabilities, so we will get:
P = p*k*q = (13/52)*(12/51)*(11/50) = 0.0129
The probability of getting 3 spades is 0.0129
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“In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides.” a. 5 cm, 12 cm, 13 cm b. 4 cm, 5 cm, 7 cm c. 3 cm, 4 cm, 5 cm d. 9 cm, 12 cm, 15 cm
The statement "the square of the longest side is equal to the sum of the squares of the two shorter sides" is true for a right-angled triangle.
(a) 5 cm, 12 cm and 13 cm
The statement is represented as:
[tex]\mathbf{13^2 = 12^2 + 5^2}[/tex]
[tex]\mathbf{169= 144 + 25}[/tex]
[tex]\mathbf{169= 169}[/tex]
Hence, the statement is true for triangle (A)
(b) 4 cm, 5 cm and 7 cm
The statement is represented as:
[tex]\mathbf{7^2 = 5^2 + 4^2}[/tex]
[tex]\mathbf{49 = 25 + 16}[/tex]
[tex]\mathbf{49 = 41}[/tex]
Hence, the statement is not true for triangle (B)
(c) 3 cm, 4 cm and 5 cm
The statement is represented as:
[tex]\mathbf{5^2 = 4^2 + 3^2}[/tex]
[tex]\mathbf{25 = 16 + 9}[/tex]
[tex]\mathbf{25 = 25}[/tex]
Hence, the statement is true for triangle (C)
(d) 9 cm, 12 cm and 15 cm
The statement is represented as:
[tex]\mathbf{15^2 = 12^2 + 9^2}[/tex]
[tex]\mathbf{225 = 144 + 81}[/tex]
[tex]\mathbf{225 = 225}[/tex]
Hence, the statement is true for triangle (D)
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Find the accumulated value of an investment of $20,000 for 7 years at an interest rate of 5.5% if the money is:
a. compounded semiannually
b. compounded quarterly
c. compounded monthly
d. compounded continuously.
---Round answers to nearest cent
Answer:
See belowStep-by-step explanation:
Given:
Investment P = $20000Time t = 7 yearsInterest rate r = 5.5% = 0.055a. compounded semiannually, n = 2
[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/2)^{2*7} = 29239.88[/tex]b. compounded quarterly, n = 4
[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/4)^{4*7} = 29315.30[/tex]c. compounded monthly, n = 12
[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/12)^{12*7} = 29366.44[/tex]d. compounded continuously
[tex]A = Pe^{rt}=20000*e^{0.055*7}=29392.29[/tex]Need this by tomorrow please and thank you!
Answer:
I think it's x=5
Step-by-step explanation:
3x+15=2x+20
-2x. -2x
x+15=20
-15. -15
x=5
sorry if is not the answer
Archimedes drained the water in his tub. The amount of water left in the tub (in liters) as a function of time (in minutes) is graphed. How much water was initially in the tub?
Answer:
y+zx=a (see below for variables
Step-by-step explanation:
You haven't attached an image, so I'll I assume you want the equation
y is amount of water, x is time, z is water drained per minute, and a is the original amount o water
y=a-zx
rearranging it for the original amount of water
y+zx=a
Answer:
360 liters
Step-by-step explanation:
The time when the draining began is the same as 0 minutes since the beginning of the draining. So we need to look for the point on the graph where Time is 0, which is the y-intercept. The point we are looking for is (0,360), which means that at the beginning of the draining, there were 360 liters of water in the tub.
Please do number 4!!!!!
Answer:
just put the 25 into the equation, and you get the M, as the money she earn
2.5(25) + 12 = 74.5 that is the amount she earns
Answer: 74.5
Step-by-step explanation:
M = money = ?
f = faces she paint = 25 faces
M = 2.50(f) + 12 —> ? = 2.50(25) + 12 = 74.5
solve for a if 2a²+2a+1=o
Answer:
guath math
Step-by-step explanation:
There is an app called guath math and it shows you all the steps and everything to a math problem just by scanning it. Also it is fast than asking people on brainly;
Please help guys this is hard for my 3rd grader Brain
Answer:
Add/multiply the exponents first.
Step-by-step explanation:
What’s this answer ? will give ton of points!!!!!!!!!!
Answer:
268 cm^2
Step-by-step explanation:
Pink prism:
top: 2 cm * 2 cm = 4 cm^2
right, left, back, front: 4 * 2 cm * 6 cm = 48 cm^2
bottom: completely covered in connection to green prism
Total surface area of pink: 52 cm^2
Green prism:
bottom: 10 cm * 5 cm = 50 cm^2
front, back: 2 * 10 cm * 4 cm = 80 cm^2
right, left: 2 * 5 cm * 4 cm = 40 cm^2
top: 10 cm * 5 cm - 2 cm * 2 cm = 46 cm^2
Total surface area of green: 216 cm^2
Total surface area of composite solid:
52 cm^2 + 216 cm^2 = 268 cm^2
Any helpp? someone....?
Answer:
I think that the speed is 65mph, because there is the largest number of people on the graph for 65mph.
Step-by-step explanation:
Please answer both of them questions please no links or you will be reported
5x + 2 = 3x + 4(2x - 1)
show steps
Answer:
x=1
Step-by-step explanation:
5x+2=3x+4(2x-1)
5x+2=3x+8x-4
5x+2=11x-4
5x-11x=-4-2
-6x=-6
6x=6
x=1
A biased coin has a probability of 0.4 of coming up heads. What is the probability that when flipped one hundred times it comes up heads half of the trials or more. Give answer to at least three decimal points.
Using the binomial probability relation ; the probability that an head is obtained at least 50 times is 0.0271
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x) p = probability of success = 0.4q = 1 - p = 0.6n = number of trials = 100P(x ≥ 50) = p(x = 50) + p(x = 51) + ...+ p(x = 100)
Using a binomial probability calculator :
P(x ≥ 100) = 0.0271
Therefore, the probability that atleast 50 heads are obtained in the trial is 0.0271
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If a polyhedron has 11 faces and 18 edges, how many vertices does it have?
Use Euler's formula for polyhedra: V - E + F = 2
vertices - edges + faces = 2
So edges = vertices + faces - 2 = 18 + 11 - 2 = 27.
Answer:
27 edges.
A pair of adjacent angles that form a straight line
Answer:
it is called a linear pair.
mark brainliest pls
Answer:
lianer lines
Step-by-step explanation:
if 126 base n =86 base ten, find the positive value of n
Answer:
8
Step-by-step explanation:
2 1/2 + 1 7/8 | write your answer in simplest form. Show your work!
Answer:
4 3/8
Step-by-step explanation:
must get a common denominator so u must multiply 2 times 4 to get 8 and mutiply the top by 4 also. now u will have 2 4/8 plus 1 7/8. add the fractions and u will have 11/8, simplify to get 1 3/8. add the whole numbers 2 plus 1 plus 1 equals 4 3/8
Plotting the function f(x) =[tex]x^{3}-2x+1/2(2x^{2} -2x+1)[/tex]
Step-by-step explanation:
the graph of this function is
Factor.
2xy+5x−12y−30
Enter your answer in the box.
(2y+5)(x−6)
not rlly sure tho
Lena can knit 14 square inches of a blanket in 3 1/2 hours.
Find the number of square inches knit per hour and the number of hours spent knitting per square inch
Step-by-step explanation:
No. of square inches of knit per hour is 14 and No. of hours spent in knitting 1 square inch is \frac{1}{14}141
Step-by-step explanation:
We are given that Lena can knit 14 square inches of a blanket in hours
So, No. of square inches of knit per hour = 14
No. of hours spent in knitting 14 square inch = 1
No. of hours spent in knitting 1 square inch = \frac{1}{14}141
So, No. of square inches of knit per hour is 14 and No. of hours spent in knitting 1 square inch is \frac{1}{14}141
Heyyy , help maybe please and thanks
Answer:
brian drink 7 cups of milk
Step-by-step explanation:
If a person can paint a hall in 10 hrs, what is her rate?
I don't know if this is a question that deserves an answer but I say a 2 out of 5 .