Answer:
1 and -2 (has a multiplicity of 2)
Step-by-step explanation:
so since x=-2 is a root then (x+2) is a factor of the polynomial. This means you can divide the polynomial by (x+2) by using synthetic or long division. So for this example I'll using synthetic division which is much more simple than long division
-2 | 1 3 0 -4
-2 -2 4
1 1 -2 0
(x+2)(x²+x-2)
Now you can factor the quadratic into
(x+2)(x-1)
x+2 = 0
x = - 2
x-1 =0
x = 1
Circle O has a circumference of approximately 44 in.
----d
O
Mark this and return
What is the approximate length of the diameter, d?
O 7 in.
O 14 in.
O 22 in.
O
44 in.
Save and Exit
xt
Submit
If the function f' has a continuous derivative on [0, c] then integral from 0 to c f"(x)dx=
The result follows from the fundamental theorem of calculus. Since [tex]f''(x)[/tex] is the derivative of [tex]f'(x)[/tex], we have
[tex]\displaystyle \int_0^c f''(x) \, dx = \boxed{f'(c) - f'(0)}[/tex]
(E)
im always having problems with this i need someone to explain please
For every meter there are 3.281 feet. The perimeter of the yard is 188ft. Divide 188 by 3.281 and you get 57.3 (rounded to 1dp). Round that up to the nearest meter and you get 58. So, Mr Smith needs 58 meters of fencing for his yard.
Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k. 3 1/3 -1/3 −3
This is about interpretation of graphs.
Option C is correct.
From the graph, we can see the 2 lines representing function f(x) and function g(x).
Now for us to find the value of x in g(x) = k⋅f(x), we need get a mutual x-coordinate where we can easily read their respective y-coordinate values.
We see that the best point for that is where x = -3.
For f(x), when x = -3, y = 1
For g(x), when x = -3, y = -3
we can rewrite them as;
x = -3, f(-3) = 1 and x = -3, g(-3) = -3
Let us plug in the relevant values into g(x) = k⋅f(x) to get;
-3 = k(1)
Thus; k = -1/3
Mr. Thakuri deposited Rs.2,00,000 in her fixed account at a bank for 3 years. The bank pays her the simple interest at the rate of 10℅ p.a. How much net interest would she get if 5 % of interest in charged as income tax?
The net interest she would get on the amount deposited is $57,000.
What is the net interest?The net interest is the total interest earned less tax.
Interest = amount deposited x simple interest x time
200,000 x 0.1 x 3 = $60,000
Net interest = $60,000 x (1 - 0.05)
$60,000 x 0.95
$57,000
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the sum invested in CI becomes ₹ 2420 in 2 years and ₹ 2662 in 3 years. Find the sum and rate of interest.
Answer:
equate two simultaneous equations for r and solve
Now that you have x² - 8x 16 = 9 16, apply the square root property to the equation.
The square root property to the equation will be (x – 4)² = 25. And the solutions will be the negative 1 and 9.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have
The equation is given below.
x² – 8x + 16 = 9 + 16
Then the equation can be written as
(x – 4)² = 25
x – 4 = ±5
x = 4 ± 5
x = -1, 9
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How could you solve this problem?
2 × 3 × 4
Check all that are true.
Multiply 3 × 4 to get 12 and then multiply 12 × 6.
Multiply 2 × 3 to get 6 and then multiply 6 × 12.
Multiply 3 × 4 to get 12 and then multiply 12 × 2.
Multiply 2 × 3 to get 6 and then multiply 6 × 4.
Multiply 2 × 3 to get 6, multiply 3 × 4 to get 12, and then multiply 6 × 12.
Step-by-step explanation:
multiply 2×3 to get 6 and then multiply 6×4
or
multiply 3×4 to get 12 and then multiply 12×2
(28÷4)+3+6x5
tell accordingly the correct answer will be marked as brainliest answer
Josie needs to rent a car from SureRide Car Rentals. The cost of renting a car iS a
one-time fee of $80 plus $0.75 per mile. Write and graph an equation to represent
pay tO rent a car a from SureRide.
the cost which Josie must
Answer: y = 0.75x + 80
Step-by-step explanation:
let x = 1 mile
y = 0.75x + 80
Jack is reading a book. In ¾ of an hour, he finished 66 pages. If he keeps reading at the same rate, how many total pages will Jack read in one hour?
If the pool is to be 24 ft on each side, what is the length of one side of the hot tub? 4 ft 4.8 ft 6 ft 7.2 ft
Based on the information given the length of one side of the hot tub is 4. 8 ft. So the correct option is B.
The complete question is given as:-
Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5. Point Q is the centre of dilation. Square A B C D is dilated to create square A prime B prime C prime D prime. The length of B prime C prime is 24 feet. If the pool is to be 24 ft on each side, what is the length of one side of the hot tub? 4 ft 4.8 ft 6 ft 7.2 ft
What is the scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
Length: Using this formula
Length=B prime C prime length/Scale factor
Where:
B prime C prime length=24 feet
Scale Factor=5
Let plug in the formula
Length=24ft/5
Length=4.8ft
In conclusion, the length of one side of the hot tub is 4. 8 ft.
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Gavin and Mark have played 28 tennis matches.
Gavin has won 17 times.
Mark won the rest.
a) Estimate the probability that Gavin wins.
b) Estimate the probability that Mark wins.
OP(Gavin wins)=
P(Mark wins)=
You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 40 km south and 113 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?
5.12 minutes ≈ 5 minutes 7.2 seconds
What is Distance?Distance. The length along a line or line segment between two points on the line or line segment.
Here, The flight path of the airplane is along the line ...
y = -125/135x = -25/27x
The perpendicular line through Mt. Rainier's location is ...
y = 27/25(x -56) -40
In standard form, these two equations are ...
25x +27y = 0
27x -25y = 2512
The point of closest approach has the coordinates that are the solution to these two equations:
(x, y) = (33912/677, 31400/677)
The distance d from the origin to this point is given by the Pythagorean theorem (distance formula) as ...
d = 1256√(2/677) . . . . . km
This distance can be converted to time using the speed of the airplane:
1256√(2/677) X 60/800 = 94.2√(2/677) ≈ 5.120019 mins
Thus, 5.12 minutes after departing JBLM you will be closest to Mt. Rainier.
The attached graph shows the geometry of the problem.
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Find the coordinates of the midpoint of the segment whose endpoints are given W (-3,-7) and X (-8,4)
1. (-11/2) -(11/2)
2.(-5/2)-(3/2)
3.(-5/2-(11/2)
The coordinates of the midpoint of the segment whose endpoints are W (-3,-7) and X (-8,4) will be (-11/2, -3/2). Then the correct option is D.
The complete options are given below.
1. (-11/2) -(11/2)
2.(-5/2)-(3/2)
3.(-5/2-(11/2)
4. (-11/2) -(-3/2)
What is the midpoint of line segment AB?Let C be the mid-point of the line segment AB.
A = (x₁, y₁)
B = (x₂, y₂)
C = (x, y)
Then the midpoint will be
x = (x₁ + x₂) / 2
y = (y₁ + y₂) / 2
The end points are given below.
(-3, -7) and (-8, 4)
We have
(x₁, y₁) = (-3, -7)
(x₂, y₂) = (-8, 4)
Then the mid-point will be
x = (- 3 - 8) / 2
x = -11 / 2
y = (-7 + 4) / 2
y = -3/2
Then the coordinates of the midpoint of the segment whose endpoints are W (-3,-7) and X (-8,4) will be (-11/2, -3/2).
Then the correct option is D.
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How many 1/4 minutes are there in 3/4 minutes?
Answer: 3
Step-by-step explanation:
[tex]\frac{\frac{3}{4}}{\frac{1}{4} }=3[/tex]simplify to create an equivalent expression "-4(-11+4n)-3(-2n+9)"
The expression -4 (-11 + 4n) – 3(- 2n + 9) is equivalent to the expression 17 — 10n.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ -4 (-11 + 4n) – 3(- 2n + 9)
On simplifying, we have
⇒ 44 – 16n + 6n – 27
⇒ 17 — 10n
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How would you describe the red paths pictured below? ( The picture above)
A. Perpendicular
B. None are correct
C. Parallel
D. Intersecting
Answer:
perpendicular
Step-by-step explanation:
If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of when x is 11?
Answer:
[tex]\frac{18}{5}[/tex] (11)
Step-by-step explanation:
If it varies directly, you need to find k, the constant of proportionality.
This is done by plugging the values in for x & y that are known.
y = kx
18 = k(5)
[tex]\frac{18}{5}[/tex] = k
Now solve for y when x is 11.
y = [tex]\frac{18}{5}[/tex] (11)
y = 39.6
in exponential growth functions. the base of the exponent must be greater than 1? how would the function change if the base of the exponent were between 0 and 1?
The function would become an exponential decay function.
Which can be represented as set of ordered pairs?
A. Expression
B. Relation
C. Equation
D. All of the choices
Answer:
D.All of the choice
Step-by-step explanation:
D.All of the choice
disributivity of multiplication over addition for rational numbers solve : -3/4 , 2/3 and -5/6 = 1/8 ? how ?
The distributive property of multiplication over addition for rational numbers is (a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]
Complete questionWhich of the following is an example of distributive property of multiplication over addition for rational numbers
(a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]
(b) -3/4 × {2/3 + (-5/6)} = [3/4 × 2/3] - (-5/6)
(c) -3/4 × {2/3 + (-5/6)} = 2/3 + (-3/4) × -5/6
(d) -3/4 × {2/3 + (-5/6)} = {2/3 + (-5/6)} - 3/4
How to determine the correct distributive property?The distributive property of multiplication states that:
a * (b + c) = (a * b) + (a * c)
From the given question, we have:
-3/4 × {2/3 + (-5/6)}
This means that:
a = -3/4
b = 2/3
c = -5/6
Recall that a * (b + c) = (a * b) + (a * c)
So, we have:
-3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]
Hence, the distributive property of multiplication over addition for rational numbers is (a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]
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If a₁ = 4 and an = 5an-1 then find the value of a5.
The value of [tex]a_{5}[/tex] is 2500, when [tex]a_{1}=4[/tex] and [tex]5a_{n-1}[/tex].
Given that, [tex]a_{1}=4[/tex] and [tex]5a_{n-1}[/tex].
We need to find the value of [tex]a_{5}[/tex].
What is an arithmetic sequence?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
Now, to find the value of [tex]a_{5}[/tex] :
[tex]a_{2} =5a_{2-1}=5a_{1}=5 \times4=20[/tex]
[tex]a_{3} =5a_{3-1}=5a_{2}=5 \times20=100[/tex]
[tex]a_{4} =5a_{4-1}=5a_{3}=5 \times100=500[/tex]
[tex]a_{5} =5a_{5-1}=5a_{4}=5 \times500=2500[/tex]
Therefore, the value of [tex]a_{5}[/tex] is 2500.
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Which of the following values are in the range of the function graphed below?
Check all that apply.
first answer gets brainliest need asap!!!
Answer:
1
Step-by-step explanation:
Although you did not give me the answer choices, I believe that the only possible answer is 1 because the only y value the graph is on is 1.
PLEASE I NEED THE ANSWER QUICKLY
1. A local newspaper charges $42 per half-page advertisement and $86 per full-page advertisement. Kathryn has a budget of $1192 to purchase 20 advertisements.
(a) Define a variable for each unknown.
Write a system of equations to represent the situation.
(b) How many full-page advertisements does Kathryn purchase?
Show your work.
(c) How many half-page advertisements does Kathryn purchase?
Show your work.
Answer:
x = 12 half page advertisements
y = 8 full page advertisements
Step-by-step explanation:
42x + 86y = 1192
x + y = 20
y = 20 - x
Input (20-x) as y into the first equation
42x + 86(20-x)=1192
42x + 1720 - 86x = 1192
(42x - 86x) 1720 -1720= 1192-1720
-44x = -528
x = 12
12 + y = 20
y=8
a. 'x' represents half page advertisement and 'y' represents full page advertisement.
System of equation is given by 42x + 86y = 1192 , x + y =20.
b. Number of full page advertisement Kathryn purchase is equals to 8.
c. Number of half page advertisement Kathryn purchase is equals to 12.
What is system of equation?" System of equation is defined as the finite set of equations for which we find a common solution."
According to the question,
Cost of half page advertisement = $42
Cost of full page advertisement = $86
Number of advertisement Kathryn could purchase = 20
Total budget of Kathryn to purchase advertisement = $1192
'x' represents half page advertisement
'y' represents full page advertisement
As per the situation given system of equation we have,
42x + 86y = 1192 ______(1)
x + y = 20
x = 20 - y _____(2)
Substitute the value of 'x' from system of equation (2) in (1) we get,
[tex]42( 20 -y) +86y =1192\\\\\implies 840 - 42y +86y =1192\\\\\implies 44y = 1192-840\\\\\implies y = \frac{352}{44}\\ \\\implies y =8[/tex]
Substitute the value of y in (2) to get 'x' ,
[tex]x=20-8[/tex]
= 12
Hence,
a. 'x' represents half page advertisement and 'y' represents full page advertisement.
System of equation is given by 42x + 86y = 1192 , x + y =20.
b. Number of full page advertisement Kathryn purchase is equals to 8.
c. Number of half page advertisement Kathryn purchase is equals to 12.
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Hey guys- need help here. Topic- exponents.
someone help me get outta summer school slope? And y intercept?
the vate rate of a country is 15% ,a woman bought an item with a price tag ghc 300 plus vat .what price did she pay for the item.
Answer:
i think 345 if not sorry
Step-by-step explanation:
Question 1 (Essay Worth 10 points)
(07.01, 07.02 MC)
An expression is shown below:
4ck2 + 10k- 16ck 40k
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answer:
a)
The GCF is 2k hence: 2k(2ck + 5k - 8c - 20)
b)
2k(2ck + 5k - 8c - 20)
After further factorization:
2k(k - 4)(2c + 5)
What is the value of m, when 2⁶ x 4 = 418
Answer:
The answer should be 3.3/4
Step-by-step explanation:
