Answer:
Step-by-step explanation:
hello
[tex]G(F(x))=G(x-7)=(x-7)^3[/tex]
hope this helps
Problem P(x)=x4−3x2+kx−2P(x)=x^4-3x^2+kx-2P(x)=x4−3x2+kx−2P, left parenthesis, x, right parenthesis, equals, x, start superscript, 4, end superscript, minus, 3, x, squared, plus, k, x, minus, 2 where kkkk is an unknown integer. P(x)P(x)P(x)P, left parenthesis, x, right parenthesis divided by (x−2)(x-2)(x−2)left parenthesis, x, minus, 2, right parenthesis has a remainder of 10101010. What is the value of kkkk? K=k=k=
Answer: k = 4
Step-by-step explanation:
For this division, to determine the value of k, use the Remainder Theorem, which states that:
polynomial p(x) = dividend (x-a) * quotient Q(x) + remainder R(x)
Knowing the degree of quotient is
degree of Q = degree of p(x) - degree of (x-a)
For this case, Q(x) is a third degree polynomial.
Using the theorem:
[tex]x^{4}-3x^{2}+kx-2 = (x-2)(ax^{3}+bx^{2}+cx+d) + 10[/tex]
[tex]x^{4}-3x^{2}+kx-2 = ax^{4} + x^{3}(b-2a)+x^{2}(c-2a)+x(d-2c)-2d+10[/tex]
a = 1
b - 2a = 0 ⇒ b = 2
c - 2b = -3 ⇒ c = 1
-2d + 10 = -2 ⇒ d = 6
d - 2c = k ⇒ k = 4
Therefore, k = 4 and Q(x) = [tex]x^{4} -2x^{2} + 4x + 2[/tex]
I need help please answer quick
Answer:
c/3, the sequence is NOT geometric because 2/3 was added to each term to get the next term.
Step-by-step explanation:
geometric sequences are multiplying, arithmetic sequences are addition.
1/3
1/3+2/3= 1 (or 3/3)
3/3+2/3= 5/3
5/3+2/3= 7/3
this is arithmetic, not geometric
Helppp!!!! please!!!
Answer:
A. Net
Step-by-step explanation:
Answer:
a. net
Step-by-step explanation:
The net of a 3D shape is how it looks unfolded. A net can easily be put back together.
Hope this helps! :)
Ali picked three numbers out of a hat, the lowest number was 11, the range was 13, the medium was 17, write Ali's numbers in the boxes, from smallest to largest
Answer:
11, 17, 24
Step-by-step explanation:
Given;
Lowest number = 11
The range = 13
Medium = 17
Range = highest number - lowest number
highest number = lowest number + range
Highest number = 11 + 13 = 24
Median number is given as 17
Therefore,
The numbers are;
11, 17, 24
please help meeeeeee!
Answer:
2x^2+x-1/x^2-1
x^2+11x+18/x^2-11x+18
2x^2-5x+3/x^2+4x+3
Step-by-step explanation:
1.2 and 5
Find the common ratio of the geometric sequence 8,2,1/2
Answer:1/4
Step-by-step explanation:
Each term is multiplied by 1/4 to get to the next
Therefore 1/4 is the common ratio
Please answer this in two minutes
Explanation:
Triangles HIG and FED are similar triangles. We know this because we have two pairs of angles that are congruent (angle G = angle D; angle I = angle E). Use the AA (angle angle) similarity theorem.
Since angles G and D are congruent, computing sin(D) is equivalent to finding sin(G)
sin(angle) = opposite/hypotenuse
sin(G) = IH/HG
sin(G) = 77/85
sin(D) = 77/85
help me again pleasee :(
The sum of three numbers is 180. If the first number is (2 x minus 11), and the second is (x minus 4) which expression represents the third number? 165 minus 3 x 187 minus x 195 minus x 195 minus 3 x
Answer:
The third number is 195-3x
Step-by-step explanation:
Given:
sum of three numbers, a, b, c is 180.
a=2x-11
b=x-4
c= ?
Solution:
a+b+c = 180
2x-11 + x-4 + c = 180
c = 180 - (2x-11) - (x-4)
= 180 -2x+11 - x+4
= 180 + 11 + 4 -2x -x
= 195 -3x
Answer:
D
Step-by-step explanation:
The graph of f(x) =7x is reflected across the x-axis. write a function g(x) to describe the new graph. G(x)=___
To reflect a function across the x axis, we just stick a negative in front. This will make all point's y coordinates to go from positive to negative or vice versa. If the original function already has a negative out front, then remove it.
- 2 = 2+v/4 solve for the variable
Hey there! :)
Answer:
v = -16.
Step-by-step explanation:
Given:
-2 = 2 + v/4
Subtract 2 from both sides:
-2 -2 = 2 - 2 + v/4
-4 = v/4
Multiply both sides by 4:
-4 · 4 = v/4 · 4
-16 = v
Selected
QUESTION 17 Of 20
If 15 men dig a trench in 10 days, how many men will be required to dig the trench for 2 days?
Circle A has radius 5, and Circle B has radius 2. If CD = 12 and is a common
tangent, what is AB?
Answer:
[tex]3\sqrt{17}$ or \approx 12.37$ Units[/tex]
Step-by-step explanation:
In the attached diagram
CA=CO+OA
CO=DB
Therefore:
5=2+OA
OA=3 Units
The angle between a tangent line and a radius is 90 degrees. therefore triangle OAB is a right triangle with:
OB=12 units
OA=3 units
Using Pythagoras theorem
[tex]AB=\sqrt{3^2+12^2}\\ =\sqrt{153}\\=3\sqrt{17}$ or \approx 12.37$ Units[/tex]
(04.03 MC)
Choose a system of equations with the same solution as the following system:
6x + 2y = -6
3x – 4y = -18
Answer:
x = -2 and y = 3
{y = -3 x - 3, y = (3 x)/4 + 9/2} = x = -2 and y = 3
Step-by-step explanation:
Solve the following system:
{6 x + 2 y = -6
3 x - 4 y = -18
Express the system in matrix form:
(6 | 2
3 | -4)(x
y) = (-6
-18)
Solve the system with Cramer's rule:
x = -6 | 2
-18 | -4/6 | 2
3 | -4 and y = 6 | -6
3 | -18/6 | 2
3 | -4
Evaluate the determinant 6 | 2
3 | -4 = -30:
x = -6 | 2
-18 | -4/(-30) and y = 6 | -6
3 | -18/(-30)
Simplify -6 | 2
-18 | -4/(-30):
x = -1/30 -6 | 2
-18 | -4 and y = 6 | -6
3 | -18/(-30)
Simplify 6 | -6
3 | -18/(-30):
x = -(-6 | 2
-18 | -4)/30 and y = -1/30 6 | -6
3 | -18
Evaluate the determinant -6 | 2
-18 | -4 = 60:
x = (-1)/30×60 and y = -(6 | -6
3 | -18)/30
(-1)/30×60 = -2:
x = -2 and y = -(6 | -6
3 | -18)/30
Evaluate the determinant 6 | -6
3 | -18 = -90:
x = -2 and y = (-1)/30×-90
(-1)/30 (-90) = 3:
Answer: x = -2 and y = 3
___________________________________________
Solve the following system:
{y = -3 x - 3
y = (3 x)/4 + 9/2
Express the system in standard form:
{3 x + y = -3
-(3 x)/4 + y = 9/2
Express the system in matrix form:
(3 | 1
-3/4 | 1)(x
y) = (-3
9/2)
Write the system in augmented matrix form and use Gaussian elimination:
(3 | 1 | -3
-3/4 | 1 | 9/2)
Add 1/4 × (row 1) to row 2:
(3 | 1 | -3
0 | 5/4 | 15/4)
Multiply row 2 by 4/5:
(3 | 1 | -3
0 | 1 | 3)
Subtract row 2 from row 1:
(3 | 0 | -6
0 | 1 | 3)
Divide row 1 by 3:
(1 | 0 | -2
0 | 1 | 3)
Collect results:
Answer: {x = -2 , y = 3
8. Solve for the given variable in the following equations. (4 marks total)
i’m confused on questions C) and D) I put it into Photomath and it came out with a bunch of weird and complicated letters and I’m only in grade 9 so I don’t think that’s the answer.
please solve C) and D) and check if I correctly solved A) and B) THANK YOU
Step-by-step explanation:
cV= π*r²*h
V/π = r²*h
v/(π*r²) = h
d[tex]\frac{x+y}{3}[/tex] = 5
x+y = 15
x = 15-y
Plz help urgently ❤️Plz
Answer:
1st fig ans=12x ^2-7x-21.
2nd fig ans
i) ( x-15)(x+2)
ii) 2(x+7)(x-9)
iii) -3x(2x+1)(5x-3)
Hope it will help uh....
Answer:
1C 2 D 3 c
Step-by-step explanation:
1, X^2-13x-30
X^2-15x+2x-30
X(x-15)+2(x-15)
(X+2)(x-15)
2, 2x^+4x-126..... Simplified As
(2x-14)(x+9)
3, -30x^3+3x^2+9x ..... Simplified as
-3x(2x+1)(5x-3)
A line goes through points (0, 3) and (6, 12). What would be the slope of this line's perpendicular bisector?
Answer:
the slope of the perpendicular bisector is -2/3
Step-by-step explanation:
The slope of the line joining the two points P1(0,3), P2(6,12) is given by
m1 = (y2-y1) / (x2-x1) = (12-3) / (6-0) = 9/6 = 1.5
The slope m2 of a line perpendicular to the previous line is given by
m1*m2 = -1
solving
m2 = -1/m1 = -1/ (3/2) = -2/3
THerefore the slope of the perpendicular bisector is -2/3
A study is performed involving two remedies for midwest farm crops who experienced the worst drought in years. In the midwest, 450 crop fields were given randomly one of two remedies. Specifically, 220 were given Remedy A and 230 were given Remedy B. A total of 74 of the 450 crop fields were salvageable, 35 from Remedy A group and 39 from Remedy B group. A significance test was performed for the following hypotheses and resulted in a p-value of 0.3822: H0: Salvage rates are the same for Remedy A and B Ha: Remedy B has a greater salvage rate Part A: Interpret the p-value in terms of the context. (3 points) Part B: Using a significance level of α = 0.05, what can you conclude from the context of this study? (4 points) Part C: Based on your conclusion in part B, which type of error—Type I or Type II—could have been made? What is one potential consequence of this error? (3 points)
Answer:
Explained below.
Step-by-step explanation:
(A)
The p-value is well defined as per the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was the truly observed value of the test statistic.
The p-value of the test was, p = 0.3822.
That is the probability that Remedy B has a greater salvage rate than A is 0.3822, given that rates are the same for Remedy A and B.
(B)
The significance level of the test is: α = 0.05.
A small p-value (typically ≤ 0.05) specifies strong evidence against the null hypothesis (H₀), so you discard H₀. A large p-value (> 0.05) specifies fragile proof against the H₀, so you fail to discard H₀.
The p-value of the test is very large. The null hypothesis will not be rejected.
Concluding that salvage rates are the same for Remedy A and B.
(C)
A type II error is a statistical word used within the circumstance of hypothesis testing that defines the error that take place when one is unsuccessful to discard a null hypothesis that is truly false.
In this case a type II error could have been made as the null hypothesis was not rejected.
The type II error could have been made because of the following reasons:
The sample size selected is too small. Significance level of the test must be small.As the sample selected is quite large, the only potential consequence of this error is that the significance level of the test must be small.
A cyclist travels at an average speed of 12 mph for 4 hours. How far did she travel in miles?
Answer:
48 miles.
Step-by-step explanation:
Her average speed was 12 miles per hour. She traveled for 4 hours. We can set up a proportion that shows that she traveled 12 miles over 1 hour, so she traveled x miles over 4 hours.
[tex]\frac{12}{1} =\frac{x}{4}[/tex]
1 * x = 12 * 4
x = 48
So, the cyclist traveled 48 miles.
Hope this helps!
Answer: 48 miles
Explanation: Well obviously if you've been on the road for 4 hours and you're traveling at 12 miles per hour, you end up going 48 miles.
Mathematically speaking we get that
by multiplying 12 × 4 to equal 48.
This 12 represents our rate.
This 4 represents the number of hours or our time.
The 48 represents the 48 miles or our distance we've travelled.
So our rate × time = distance.
This formula is a very popular one in algebra.
Find the values for a and b that would make the equality true.
-3(2x2 + ax + b) = –6x2 + 12x – 15
a =
b=
Answer:
a = - 4, b = 5
Step-by-step explanation:
Expand the left side and compare the coefficients of like terms on the right side.
- 3(2x² + ax + b)
= - 6x² - 3ax - 3b
Comparing like terms with - 6x² + 12x - 15
x - term → - 3a = 12 ( divide both sides by - 3 )
a = - 4
constant term → - 3b = - 15 ( divide both sides by - 3 )
b = 5
If HCF (6,x)n = 2 and LCM(6,x) = 60 , Find x^2+3x
Answer:
460Step-by-step explanation:
We know:
LCM(a, b) · HCF(a, b) = a · bWe have:
HCF(6, x) = 2 and LCM(6, x) = 60.
Substitute:
60 · 2 = 6 · x
120 = 6x divide both sides by 6
20 = x → x = 20
Substitute to x² + 3x:
20² + 3(20) = 400 + 60 = 460
5 3/4 divided by 1 1/2
Answer:
[tex] \frac{23}{6} [/tex]Solution,
[tex]5 \frac{3}{4} \div 1 \frac{1}{2} [/tex]
Convert the mixed number to an improper fraction
[tex] \frac{23}{4} \div \frac{3}{2} [/tex]
To divide by a fraction, multiply by the reciprocal of that fraction
[tex] \frac{23}{4} \times \frac{2}{3} [/tex]
Reduce the numbers with the GCF 2
[tex] \frac{23}{2} \times \frac{1}{3} [/tex]
Multiply the fraction
[tex] \frac{23}{6} [/tex]
Hope this helps...
Good luck on your assignment...
A marble is randomly selected from a bag. The probability of selecting a marble with dots on it is 0.2. The probability of selecting a marble that is both purple and has dots on it is 0.1. What is the probability of selecting a purple marble given that the marble has dots on it? Enter your answer as a decimal in the box.
Answer:
0.5
Step-by-step explanation:
Let D be the event of selecting a marble with dots.
Let P be the event of selecting a purple marble.
The probability of selecting a marble with dots, P(D)=0.2
The probability of selecting a marble that is both purple and has dots, [tex]P(D \cap P)=0.1[/tex]
We want to determine the probability of selecting a purple marble given that the marble has dots on it, P(P|D)
By the definition of conditional probability:
[tex]P(P|D)= \dfrac{P(P \cap D)}{P(D)} \\= \dfrac{0.1}{0.2}\\ =0.5[/tex]
The probability of selecting a purple marble given that the marble has dots on it is 0.5.
Help ASAP please .
Which expression represents the volume of the sphere,
in cubic units?
3/4pi(6)^2
4/3pi(6)^3
3/4pi(12)^2
4/3pi(12)^3
Answer:
second option
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex] πr³ ( where r is the radius )
Here r = 6 , thus
V = [tex]\frac{4}{3}[/tex]π(6)³
Answer:
Second option
Step-by-step explanation:
Volume of a sphere = [tex]\frac{4}{3}*\pi *r^{3}[/tex]
→ Substitute in the value of radius
Volume of a sphere = [tex]\frac{4}{3}*\pi *6^{3}[/tex]
h(x)=1/8x^3-x^2 What is the average rate of change of h over the interval -2≤x≤2?
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The average rate of change of h(x) in the closed interval [ a, b ] is
[tex]\frac{h(b)-h(a)}{b-a}[/tex]
Here [ a , b ] = (- 2, 2 ] , thus
h(b) = h(2) = [tex]\frac{1}{8}[/tex] (2)³ - 2² = 1 - 4 = - 3
h(a) = h(- 2) = [tex]\frac{1}{8}[/tex] (- 2)³ - (- 2)² = - 1 - 4 = - 5 , thus
average rate of change = [tex]\frac{-3-(-5)}{2-(-2)}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
Two events, X and Y, are independent of each other. P(Y)= and P(X and Y)=. What is P(X) written as a decimal? Round to the nearest tenth, if necessary. 0.2 0.3 0.4 0.5
Answer:
0.4
Step-by-step explanation:
The question is not complete, the correct question is:
Two events, X and Y, are independent of each other. P(Y) = 5/6 and P(X and Y) = 1/3. What is P(X) written as a decimal? Round to the nearest tenth, if necessary
Answer: Two events (event X and event Y) are said to be independent if the probability of event X occurring does not affect the probability of event Y occurring and vice versa. If the probability of X = P(X) and the probability of Y = P(Y), therefore P(X and Y) = P(X) × P(Y).
Given that P(Y) = 5/6 and P(X and Y) = 1/3. Therefore:
P(X and Y) = P(X) × P(Y)
Making P(X) the subject of formula by dividing through by P(Y) gives:
[tex]P(X)=\frac{P(X\ and\ Y)}{P(Y)} \\Substituting\ values:\\P(X)=\frac{\frac{1}{3} }{\frac{5}{6} }=\frac{1}{3} *\frac{6}{5}=\frac{2}{5}=0.4\\ P(X)=0.4[/tex]
Answer:
0.4
Step-by-step explanation:
edg 2021
What is -110=-5(1+7v)
Answer:
v=3
Step-by-step explanation:
First you must use the distributive property to solve for v. To do this multiply ever term in the parentheses by -5 on the right-hand side to get -110=-5-35v
Now you can solve by adding 5 to both sides, cancelling out the -5 on the right-hand side of the equation and getting -105=-35v. Now, all you have to do is divide both sides by -35 and get 3=v.
Answer:
v = 3
Step-by-step explanation:
-110 = -5(1 + 7v)
-110 = -5 + -35v
-110 + 5 = -35v
-105 = -35v
Divide both sides of the equation by -35 so v can stand alone
[tex]\frac{-105}{-35} = \frac{-35v}{-35}[/tex]
3 = v
∴v = 3
Calculate the slope of the line going through A(-4,3) and B(0,6) PLEASE ANSWER
Answer:
6-3/0-(-4)
=3/4
Step-by-step explanation:
Given two points of a line to find the slope, we use the formula.y2-y1/x2-x1 hence the answer above. Our xs are x2=0 x=-4 y2=6 y1=3
Need help solving. Prefer you show each step in solving.
Answer:
AB║CD and AD║BC
Step-by-step explanation:
By the property of a parallelogram,
" Consecutive angles of a parallelogram are supplementary"
In the figure attached,
∠DCB and ∠CDA are the supplementary angles. Therefore ABCD will be a parallelogram.
[Given: m(∠DCB) + m(∠CDA) = 180°]
And the pair of opposite sides of the parallelogram ABCD will be parallel.
AD║BC and AB║CD
In the picture below, which lines are lines of symmetry for the figure?
Answer:
1 and 3
Step-by-step explanation:
The lines 1 and 3 divide the shape into 2 identical parts so they are axes of symmetry
The line of symmetry for the given figure is 1 and 3.
We need to find the line of symmetry for the given figure.
What is the line of symmetry?Line symmetry is a type of symmetry where one-half of the object reflects the other half of the object across the line.
In the given figure we can see line 1 and 3 divides the figure into two halves.
Therefore, the line of symmetry for the given figure is 1 and 3.
To learn more about the line of symmetry visit:
https://brainly.com/question/1597409.
#SPJ2