Answer:
D. Rx) = x2 - 4x + 10
Step-by-step explanation:
R(x)=(x-2)^2+6
R(x)=(x-2)^2+6
=(x-2)(x-2)+6
=x^2-2x-2x+4+6
=x^2-4x+10
R(x) = x^2 - 4x + 10
Option D is the answer
Answer this question
Answer:
c) 120
Step-by-step explanation:
f(x) = 7x^4 + 3x^2 - 4
f(-2) = 7(-2)^4 + 3(-2)^2 - 4 = 7(16) + 3(4) - 4 = 112 + 12 - 4 = 120
Answer:
120Step-by-step explanation:
Given,
x = -2
Now, let's solve
[tex] {7x}^{4} + 3 {x}^{2} - 4[/tex]
Plug the value of x
[tex] = 7 \times {( - 2)}^{4} + 3 \times {( - 2)}^{2} - 4[/tex]
A negative base raised to an even power equals a positive
[tex] = 7 \times {2}^{4} + 3 \times {2}^{2} - 4[/tex]
Evaluate the power
[tex] = 7 \times 16 + 3 \times 4 - 4[/tex]
Multiply the numbers
[tex] = 112 + 12 - 4[/tex]
Add the numbers
[tex] = 124 - 4[/tex]
Subtract the numbers
[tex] = 120[/tex]
Hope this helps ...
Best regards!!
I NEED HELP PLEASE HURRY, THANKS! :)
Answer:
B
using SOHCAHTOA
COS THETA WILL BE EQUALS TO ROOT 5/3 AND TAN THETA WILL BE EQUALS TO 2ROOT 5/3
Answer:
B.
Step-by-step explanation:
First, note that since [tex]sin(\theta)=2/3[/tex], this means that the opposite side is 2, the hypotenuse is 3, and the last, adjacent side is [tex]\sqrt{5\\[/tex].
Also note that we are told that [tex]sec(\theta)<0[/tex]. This means that [tex]\theta[/tex] cannot be in quadrants 1 nor 4 because (remember All Students Take Calculus?) in those quadrants cosine and secant are positive. Also, we know that sine is positive so we can conclude that [tex]\theta[/tex] is in the second quadrant.
In the second quadrant, sine is positive, cosine is negative, and tangent is negative. Now we can answer the question. We already know the side lengths: opposite=2, adjacent=[tex]-\sqrt{5}[/tex] (because it's in Quadrant II), and hypotenuse=3.
Therefore...
[tex]cos(\theta)=-\sqrt{5} /3[/tex]
[tex]tan(\theta)=2/(-\sqrt{5})=-(2\sqrt{5}/5)[/tex]
What is the midpoint
of AB?
A has coordinatt 6
B has coordinate -10
Answer:
-2
Step-by-step explanation:
There are ten meerkats in a colony. Every night, two meerkats stand guard while the others sleep. During a certain period of nights, every meerkat stands guard with every other meerkat exactly once. During that period, how many nights of sleep does each meerkat get?
Answer:
Each gets 36 nights of sleep every 45 nights.
Step-by-step explanation:
This is called the handshake problem, which is the same problem as n guests (including host) attend a party. At the end, everyone shakes hands with everyone else. The number of handshakes is each person shakes hands with (n-1) other persons to give n(n-1) handshakes. However, this counts each handshake twice (A with B and B with A), so the actual number of handshakes is n(n-1)/2
For n=10, then number of "teams" of two meerkats is 10(10-1)/2 = 45.
So each meerkat gets to be on duty 9 nights out of 45, or gets 36 nights of sleep every 45 nights.
A toad croaks every 8 seconds and a frog croaks every 6 seconds they both croak at the same time after how many seconds will they next croak at the same time
Answer:
24
Step-by-step explanation:
hello
8=2*2*2
6=2*3
so the next time they both croak all together is 2*2*2*3=24
hope this helps
Which of the following best describes how muckrakers brought about reform in the Progressive Era?
Muckrakers presented Americans with facts about corruption in government and industry and encouraged them to investigate further.
Muckrakers presented Americans with facts about corruption in industry and government that prompted them to demand change.
Muckrakers presented government officials with different ways to reform existing legislation.
Muckrakers presented government officials with facts about different industries and demanded change.
Answer:
B
Step-by-step explanation:
Both A and B are similar but the difference is that muckrakers did not present facts to encourage more investigation, they presented facts to make a change. There are many examples but one major one is Upton Sinclair and his book "The Jungle". It exposed the meat industry and how corrupted it was. This led to many changes such as new food safety laws.
Answer:
B edg
Step-by-step explanation:
Question 3(Multiple Choice Worth 3 points)
(6.03)
What is the coefficient of the variable in the expression 2 - 5x - 4 + 8?
1. -5
2. O-4
3. 02
4. 08
Answer:
-5
Step-by-step explanation:
The coefficient is the number that goes in front of the variable
The only variable is x and the number in front is -5
The coefficient is -5
Answer:
-5 i did the test
Step-by-step explanation:
Please help! math is hardddd :(
Answer:
12 in²
Step-by-step explanation:
The area of a triangle is base × height × 1/2.
b × h × 1/2
6 × 4 × 1/2
24 × 1/2
= 12
The area is 12 in².
Answer:
12 in^2Solution,
Base(b)=6 inches
Height(h)=4 inches
Area of triangle=?
Now,
[tex]area \: of \: triangle \\ = \frac{bh}{2} \\ = \frac{6 \times 4}{2} \\ = \frac{24}{2} \\ = 12 \: {inches}^{2} [/tex]
hope this helps ..
Good luck on your assignment...
13. Gayle is getting ready for her first day of school. She has 7 new dresses to choose from and 4
new pairs of shoes. How many different outcomes are possible for Gayle to wear one dress and
one pair of shoes?
Answer:
49
Step-by-step explanation:
7 times 4 equals 49.
A jar consists of blue, red and green marbles. The probability of each of them is 2/7 , 3/k and 5/2k. Find the value of k. solution
Answer:
the value of k is 7
Two cars leave the park at the same time. One travels north at a speed of 50 km/h for 2 hours. The second car travels west at a speed of 80 km/h for 2 hours. After the 2 hours, how far apart are the two cars? Be sure to draw a diagram illustrating this situation.
Step-by-step explanation:
This question requires the Pythagorean theorem.
Car A travels north 100km in two hours.
Car B travels west 160km in two hours.
Imagine a triangle the line going up is 100km
the line going left is 160km
the formula for the Pythagorean theorem is
a^2+b^2=c^2
100^2+160^2=c^2
10000+25600=c
35600=c
√35600=c
You can draw a diagram.
A circle has a radius of 6. An arc in this circle has a central angle of 48 degress. What is the length of the arc?
Answer: [tex]1.6\pi[/tex]
Step-by-step explanation:
If a circle has a radius of 6, then the perimeter of the circle is 12pi, or about 37.68. A circle has 360 degrees. Thus, the arc takes up 48/360 of the circle. Thus, simply multiply [tex]\frac{48}{360} * 12\pi[/tex] to get 5.024 or 1.6pi.
Hope it helps <3
What is the difference from the point (-6,2) to the point (2,17)?
Answer: The distance is 17.
Step-by-step explanation:
Find their difference in the y values and the difference in the x values then find their absolute values.
2-17 = -15
-6 - 2 = -8
The absolute value of -15 is 15 and the absolute value of -8 is 8.
Now square them and add them up to find their square root.
15^2 + 8^2 = c^2
225 + 64 = c^2
289= c^2
c= 17
Consider the function. Which statement correctly describes the function’s behavior around its vertical asymptote?
A) As x → –2–, f(x) → ∞ and as x → –2+, f(x) → ∞.
B) As x → –2–, f(x) → –∞ and as x → –2+, f(x) → ∞.
C) As x → –2–, f(x) → –∞ and as x → –2+, f(x) → –∞.
D) As x → –2–, f(x) → ∞ and as x → –2+, f(x) → –∞.
Answer:
B) As x → –2–, f(x) → –∞ and as x → –2+, f(x) → ∞.
Step-by-step explanation:
2020 edg.
A function assigns the values. The correct option is B.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The statement that correctly describes the function's behavior around its vertical asymptote is As x → –2–, f(x) → –∞ and as x → –2+, f(x) → ∞. Thus, the correct option is B.
Learn more about Function:
https://brainly.com/question/5245372
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Al aplicar el teorema de Pitágoras en alguno de los triángulos que aparecen en la figura, solo un planteamiento es el correcto, ¿cuál es?
Seleccione una:
a. h2 + b2 = c2
b. c2 + b2 = a2
c. Ningún planteamiento es correcto
d. a2 + m2 = b2
Question:
Found a picture which relates to the question asked. It can be found in the attachment below.
Answer:
b. c2 + b2 = a2
Step-by-step explanation:
According to Pythagoras rule :
The longest side of the triangle is the hypotenus
The opposite and adjacent sides depends on the particular angle provided or one which is to be calculated.
The opposite side is one drawn across a given angle, while the side next to the Given angle is called the adjacent side.
FROM △ABC ;
THE longest side is 'a' = hypotenus
Opposite side = c
Adjacent = b
From Pythagoras :
(Hypotenus)^2 = (Opposite)^2 + (adjacent)^2
Hence,
a^2 = c^2 + b^2
Find the degree of the polynomial: [tex]2x^{2} y-4x^{5} +6xy^{3}[/tex]
Answer:
5Explanation:
sum of the power of 2x^2y=2+1=3
sum of the power of 4x^5=5
sum of the power of 6xy^3=1+3=4
Highest power=5
Therefore, The degree of given polynomial is 5.
Hope this helps...
Good luck on your assignment..
Hadley tried to evaluate 5\times4{,}0005×4,0005, times, 4, comma, 000 step by step. \phantom{=}\greenD5\times\blueD{4{,}000}=5×4,000empty space, start color greenD, 5, end color greenD, times, start color blueD, 4, comma, 000, end color blueD {\text{Step } 1}Step 1S, t, e, p, space, 1 =\greenD5 \times \blueD{4} \times \blueD{1{,}000} =5×4×1,000equals, start color greenD, 5, end color greenD, times, start color blueD, 4, end color blueD, times, start color blueD, 1, comma, 000, end color blueD {\text{Step } 2}Step 2S, t, e, p, space, 2 = 20\times \blueD{1{,}000} =20×1,000equals, 20, times, start color blueD, 1, comma, 000, end color blueD {\text{Step } 3}Step 3S, t, e, p, space, 3 =20{,}000=20,000equals, 20, comma, 000 Find Hadley's mistake.
Answer:
Hardley didn't make any mistake
Step-by-step explanation:
Given
Step 1: 5×4×1,000
Step 2: 20 * 1,000
Step 3: 20,000
Required
Find Hadley's mistake.
From the highlighted steps above, it is evident that Hardley did not make any mistake when evaluating the given expression.
At step 1, he expanded 4,000 to 4 * 1,000
Step 1:
5×4×1,000
At step 2, he multiplied 5 by 4 which gives 20
Step 2
20 * 1,000
At the last step, which is step 3, he multiplied 20 by 1,000 which gives 20,000 and this is the result of the given expression 5 * 4,000
Step 3
20,000
please solve this
Find H.C.F
m^3 - 1, m^4 + m^2 + 1, m^2+ m + 1
Answer:
m^2+m+1
Step-by-step explanation:
m^3 - 1= (m-1)(m^2+m+1) m^4 + m^2 + 1= m^4+2m^2+1 - m^2= (m^2+1)^2 -m^2= (m^2+m+1)(m^2-m+1)m^2+ m + 1HCF= m^2+m+1 which is the factor of all three polynomials
what is the answer of it
Answer:
Option A
Step-by-step explanation:
E = 1 - x/p = 1 - 293/473 = ~0.38
=> The number of joules of montion energy that the engine can obtain from 40,000,000 joules of fuel energy:
N = 0.38 x 40000000 = 15,200,000 (J)
How many coordinates can you find along this function? When graphed F(x)=mx+b when m=2 and b=1.
Answer:
assuming the graph is a 10 by 10 there would be 10 diffrent whole number coordinates.
Solve the equation
—3x +1+ 10x = x +4
X=1/2
X=5/6
X=12
X=18
Answer:
x = 1/2
Step-by-step explanation:
-3x + 1 + 10x = x + 4
7x + 1 = x + 4
6x + 1 = 4
6x = 3
x = 3/6
x = 1/2
Answer:
It's (A) [tex]x\frac{1}{2}[/tex]
Step-by-step explanation:
translate into an algebraic expression: b is decreased by 40% and decreased again by 40% . What is the result ?
Answer:
The result is 0.36b
Step-by-step explanation:
Here. we want to translate the wordings into an expression of algebra.
Firstly, we decrease b by 40%
40% is same as 40/100 = 0.4
So decreasing b by 40% = b-0.4(b) = b-0.4b = 0.6b
Now we want to decrease 0.6b by another 40%
= 0.6b -0.4(0.6b)
= 0.6b - 0.24b
= 0.36b
someone please help, I will give BRAINLIEST!! please explain your answer
Answer: 8.94 is the length of GI
Step-by-step explanation: The two triangles are similar, so the ratios of the sides to each other will be the same.
the unknown length of GI in triangle FIG corresponds to the known length 20 of IH in Triangle GIH, and the known length 4 of side FI in triangle FIG corresponds to GI in Triangle GIH. So the ratio looks like 4:x as x:20
4/x = x/20 multiply both sides by x and 20 to "cancel" the denominators.
20x(4/x) = 20x(x/20)
80 = x² Calculate the square roots
√x² = x . √80 = 8.94
a goat tethered to a stake by a rope has grazed the meadow over an area of 12.56msqare around it stretching the rope. i) what is the length of the rope? ii)what is the perimeter of the meadow?
Answers:
length of rope = 2 meters
perimeter of meadow = 12.56 square meters
=========================================================
Explanation:
Assuming there are no structures (buildings, fences, etc) to get in the way of the goat, this means the goat's area that it can roam is a circle with radius r
The area of the circle is pi*r^2 which is equal to 12.56 square meters
pi*r^2 = 12.56
3.14*r^2 = 12.56
r^2 = 4
r = sqrt(4)
r = 2
The radius of the circle is 2 meters. This is the length of the rope. If the goat goes out as far as it can go, and tries to move left/right, then it will trace out a circle of radius 2. This is assuming the rope is kept fully taut the entire time.
The perimeter of the circle is the same as the circumference
circumference = 2*pi*r
circumference = 2*pi*2
circumference = 4*pi
circumference = 4*3.14
circumference = 12.56
The circumference and area are the same because r^2 = 4 and 2*r = 4 when r = 2. For any other positive r value, the area and circumference will be different values.
So in short, if a friend says that the area of a circle is the same as its perimeter, then you can immediately conclude the radius is 2.
Side note: throughout all of this solution, I used the approximation pi = 3.14 though pi has more decimal digits
Answer:
2m
12.56 m
Step-by-step explanation:
A= 12.56 m²
r=? P=?
---------
A= πr²
12.56=3.14r² ⇒ r²=12.56/3.14 ⇒ r²=4 ⇒ r=2 mP= 2πr= 2*3.14*2m= 12.56 mset these 2 distances to equal each other
Mabel is comparing the prices of two car rental companies. Company A charges $35 per day and an additional $15 as service charges. Company B charges $42 per day and an additional $10 as service charges. Part A: Write an equation to represent each company's total charges for renting a car for a certain number of days. For both equations (one for Company A and one for Company B), define the variable used. (4 points) Part B: Which company would charge less for renting a car for 6 days? Justify your answer. (3 points) Part C: How much money is saved by using the services of Company A instead of Company B to rent a car for 10 days?
Answer:
Part A:
Equation for Company A:
x = Number of days renting a car
35x + 15
Equation for Company B:
x = Number of days renting a car
42x + 10
Part B:
Company A will charge $ 37 less than Company B
Part C:
Company A will charge $ 65 less than Company B
Step-by-step explanation:
Part A:
Equation for Company A:
x = Number of days renting a car
35x + 15
Equation for Company B:
x = Number of days renting a car
42x + 10
Part B:
Renting a car for 6 days
Company A:
35 * 6 + 15 = 210 + 15 = $ 225
Company B:
42 * 6 + 10 = 252 + 10 = $ 262
Company A will charge $ 37 less than Company B
Part C:
Renting a car for 10 days
Company A:
35 * 10 + 15 = 350 + 15 = $ 365
Company B:
42 * 10 + 10 = 420 + 10 = $ 430
Company A will charge $ 65 less than Company B
Hurry I WILL MARK YOU AS BRAINLIEST
Answer:
Third choice is correct
Step-by-step explanation:
-2x-y=-2
-y=2x-2
y=-2x+2
3x-y=-2
-y=-3x-2
y=3x+2
These two lines intersect at (0, 2)
Find the solution to the problem and show your steps. -7x+9=3x+49
Answer:
x=-4 is the answer
Step-by-step explanation:
-7x+9=3x+49
Subtracting 3x on both sides
-7x-3x+9=49
Subtracting 9 on both sides
-10x=49-9
-10x=40
x=-4
I hope this will help you :)
What is X^2-9=0 I really need the answers
Answer:
X^2-9=0 is x2 = 9
Step-by-step explanation:
What should the following equation be multiplied by in order to eliminate the fractions? x/3+x/6=11/9
use photo for reference
Answer:
18
Step-by-step explanation:
Denominators are 3, 6 and 9
LCM(3, 6, 9)= 18So 18 is the required number
Answer:
the answer is the last one 18
Step-by-step explanation: