Answer:
the answer is clear
Step-by-step explanation:
you have to get the answer by completing the answer
answer this question
Answer:
[tex]g(x)=|x+8|-2[/tex]
Step-by-step explanation:
The vertex is at (-8, 2), so g(x)=a|x+8|+2.
Considering g(-6),
[tex]g(-6)=4=a|-6+8|+2 \\ \\ 2=2a \\ \\ a=1 \\ \\ \therefore g(x)=|x+8|-2[/tex]
Which is equivalent to (9 y squared minus 4 x)(9 y squared 4 x), and what type of special product is it?
The solution of the expression ( 9y² - 4x )( 9y ² + 4x) will be 81y⁴ - 16x².
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression ( 9y² - 4x )( 9y ² + 4x) will be solved as below:-
Use the formula:- ( a + b ) ( a - b ) = a² - b²
a = 9y²
b = 4x
( 9y² - 4x )( 9y ² + 4x ) = ( 9y² )² - ( 4x )²
Therefore, solution of the expression ( 9y² - 4x )( 9y ² + 4x) will be 81y⁴ - 16x².
To know more about an expression follow
https://brainly.com/question/1524138
#SPJ4
An equilateral triangle is inscribed in a circle of radius 2r. express the area a within the circle but outside the triangle as a function of the length 3x of the side of the triangle.
The expression for the area within the circle but outside the triangle as a function of the length 3x of the side of the triangle is [tex]\frac{88r^2}{7}-\frac{9\sqrt{3} }{2}x^2[/tex].
It is given that:-
Radius of circle = 2r
Length of side of equilateral triangle = 3x
We have to find the expression for the area within the circle but outside the triangle as a function of the length 3x of the side of the triangle.
We know that,
Area of circle = [tex]\pi R^2[/tex]
Where R is the radius of the circle.
We have R = 2r
Area of an equilateral triangle = [tex]\frac{\sqrt{3} }{2}a^2[/tex]
Where, a is the length of side of equilateral triangle.
a = 3x
Hence,
Expression = [tex]\pi R^2-\frac{\sqrt{3} }{2}a^2[/tex]
Expression = [tex]\frac{22}{7}*(2r)^2-\frac{\sqrt{3} }{2}*(3x)^2 = \frac{88r^2}{7}-\frac{9\sqrt{3} }{2}x^2[/tex].
To learn more about area of an equilateral triangle, here:-
https://brainly.com/question/10681095
#SPJ4
PLEASE DUE TODAY!! Which remarkable thing was made bye the Mound Builders? (A) boat canals (B) buffalo traps
(C) large cities (D) coastal towers (BTW will give 20 points and brainly)
The remarkable thing that was made by the Mound Builders is (C) large cities
How to illustrate the information?In the Ohio River Valley, Native American tribes constructed mounds and enclosures for burial, religious, and even defense purposes. For dramatic effect, they frequently constructed their mounds on or near tall cliffs or bluffs, as well as in rich river valleys.
Mound Builders were not one particular group of people; rather, they were pre-Columbian tribal groups that erected massive earthen constructions known as mounds throughout North America. These mounds were used as houses, burial grounds, and ceremonial hubs, among other things.
In conclusion, the remarkable thing that was made by the Mound Builders is large cities.
Learn more about mound on:
https://brainly.com/question/1125871
#SPJ1
A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the
5% and the 40% solutions should she mix to get the solution she needs?
The volume required for a 5% solution is 5.7 L, while a 40% solution requires 4.3 L for the experiment.
What is defined as the percentage?A percentage is a fraction of a whole represented as a number ranging from 0 and 100.
In this question, you would like to make a 10 litre 20% solution by combining 5% and 40% concentrations. This question should have multiple answers. Supposing that total volume of the 5% and 40% solutions is 10 L (no solution wasted), you can calculate the volume of solution required.The equation should be as follows:
If 'x' is the volume of a 40% solution, then the volume of a 5% solution is:
10 L = 40% solution volume + 5% solution volume
10 L = x + 5% volume of solution
10 L - x = 5% solution volume
The volume would then be calculated as follows:
(volume 20% × concentration 20%) = (volume 40% × concentration 40%) + (volume 5% × concentration 5%)
10 litre × 20% = x litre × 40% + (10- x) litre × 5%
10 L × 20% = x litre × 35% + 10 litre × 5%
x litre × 35 = 10 L × 20 - 10 L × 5
= 10 L × 15
x litre = 10 L × 15/35
x litre = 4.28 L
x litre = 4.3 L
40% solution volume = 4.3 L
The volume of 5% solution is equal to 10 L - 4.3 L = 5.7 L.
Thus, the volume of 5% solution requires is 5.7 L and volume of 40% solution required is 4.3 L.
To know more about percentage, here
https://brainly.com/question/24304697
#SPJ9
descartes earns $5 for each lawn that he mows. the mows 7 lawns . he spends $20 on a video game. how much money does he have left??????
Answer:
he has $15 left
Step-by-step explanation:
$5 for each lawn
$5 * 7 lawns = $35
$20 on a video game
$35 - $20 = $15
14. Name one pair of rays that are not opposite rays.
Answer:
nothing there
Step-by-step explanation:
(Please answer! :) )
Answer:
ok
Step-by-step explanation:
Solve the given differential equation by undetermined coefficients. y'' 7y' 6y = 30
The complementary solution is Ус = C₁е¯ + C₂е¯ -6x
Consider the differential equation
=y" + 7y' + 6y = 30...(1)
Rewrite the equation,(D² + 7D + 6)y = 30 where
d /D = dx
Auxiliary equation is,
f(m) = 0
3 m³ +7m+6=0
m² + 6m+m+6=0
m(m+6) +1(m+6) = 0
(m +6)(m + 1) = 0
m = −1, −6 -6
Hence,
The complementary solution is Ус = C₁е¯ + C₂е¯ -6x
To know more about "Differential Equation"
Refer this link:
https://brainly.com/question/14617716
#SPJ4
Orville is thinking of a number. The product of the number and 39 is 156. Find Orville's number. 46
Answer:
I believe the multiplied number would be 4.
39 × 4 = 156
The number is = 4
Step-by-step explanation:
I'm not sure what is 46 at the end of the question.
On a highway a wreck occurred and caused a 8 mile
traffic jam on one side of the road. The average car is
13.5 feet in length and the average truck is 20 feet in
length. 75% of the traffic jam consists of cars and 25% of
trucks. If the average distance between vehicles is 3 feet,
how many vehicles are stuck in the traffic jam?
Answer:
1647
Step-by-step explanation:
Given the following information:
Length of traffic = 8 miles
Average Length of vehicles on the road :
Cars = 14.5 feets
Trucks = 21 feets
18 Wheeler tractor = 73 Feets
% distribution of the different vehicles :
Cars = 70% = 0.7
Trucks = 20% = 0.2
18 wheeler tractor = 10% = 0.1
Distance between vehicles = 4feets
Number of vehicles stuck in the traffic :
Let number of vehicles = v
Summation of (number of vehicles * length of each vehicle) + distance between each vehicle = Length of traffic
Total distance between each vehicle = 4(v-1)
(0.7v * 14.5) + (0.2v * 21) + (0.1v * 73) + 4(v - 1) = 8 miles
1 mile = 5280
8 miles = (5280 * 8) = 42,240
10.15v + 4.2v + 7.3v + 4v - 4 = 42240
25.65v = 42240 + 4
25.65v = 42244
v =42244 / 25.65
v = 1646.939
v = 1647.
What should be added to -7/12 to get 9/16
Answer:
1/48 should be added.
Step-by-step explanation:
If you add 9/16 to -7/12 you will get -1/48. Then do -7/12 + 1/48 and it will give you 9/16.
T=CB-6, for C what is the answer pls my homework is due in 39 minutes
Step-by-step explanation:
if you did not leave anything out, all we can do is
T = CB - 6
T + 6 = CB
C = (T + 6)/B
letter j, i need help i don’t really understand it doesn’t explain good enough
Answer:
3/5 < 3/4 (The symbol you need is <.)
Step-by-step explanation:
The problem is asking you to compare the fractions 3/5 and 3/4. You need to supply a comparison symbol, one of {<, =, >}.
Comparing valuesIn general, when you are asked to compare two values, you are being asked which one is greater (or smaller). Sometimes, you are being asked for the amount by which one is greater than the other (their difference), and sometimes you are being asked for the factor by which one is greater than the other (their ratio).
You can do the arithmetic to find the appropriate difference or ratio, or you can use your number sense to identify the larger (or smaller) number.
FractionsAs you know, the denominator of a fraction tells you how many pieces the pie has been divided into.
In the fraction 3/5, the 5 tells you each piece is 1/5 of the whole, that there are 5 equal pieces.
In the fraction 3/4, the 4 tells you each piece is 1/4 of the whole, that there are 4 equal pieces.
A pie divided into 5 pieces instead of 4 has smaller pieces. That is ...
1/5 < 1/4
When there are 3 pieces of each, this relation still holds:
3×(1/5) < 3×(1/4) ⇒ 3/5 < 3/4
__
Additional comment
Here, the numerators are the same, so we only need to compare the denominators to find the relationship. If the denominators are the same, we can compare the numerators.
If neither is the same, it is often useful to multiply one or the other or both of the fractions by some value so they will have a common numerator or denominator. The usual recommendation is to give the fractions a common denominator.
Here, the denominators can be made to be 20 in each case.
[tex]\dfrac{3}{5}=\dfrac{3}{5}\cdot\dfrac{4}{4}=\dfrac{12}{20}\\\\\dfrac{3}{4}=\dfrac{3}{4}\cdot\dfrac{5}{5}=\dfrac{15}{20}[/tex]
The denominators are now the same, so we can compare values by comparing the numerators. 12 < 15, so 12/20 < 15/20 and 3/5 < 3/4.
PLEASE HELP ASAP!
:))
Answer: The converse of this theorem is also true; that is, if two lines n and m are cut by a transversal so that the alternate interior angles are congruent, then n║m.
Step-by-step explanation:
What does it mean converse in geometry?
The converse of a statement is formed by switching the hypothesis and the conclusion. The converse of "If two lines don't intersect, then they are parallel" is "If two lines are parallel, then they don't intersect." The converse of "if p, then q" is "if q, then p."
So, in the figure below, if we can choose n║m, then ∠1≅∠2
Since n║m , by the corresponding Angles Postulate,
∠1≅∠2.
Therefore, by the definition of congruent angles,
m∠1=m∠2
Since ∠1 and ∠2 form a linear pair, they are supplementary, so
m∠1+m∠2=180°.
Therefore, the converse of this theorem is also true; that is, if two lines n and m are cut by a transversal so that the alternate interior angles are congruent, then n║m.
Learn about more information https://brainly.in/question/14313548
#SPJ9
Evaluate the function when x= -4, -2, -1, 1/2, and 2
, and 2.
g(x) =
-x+4, if x < -1
3,
if -1
-2x5, if x ≥ 2
When x = -4, f(x) = ¯
When x = -2, f(x) =
The values of the functions are:
a. When x =-4 then f(x) = -x+4
b. When x = -2 then f(x) = -x+4
c. When x = -1 then f(x) = -x+4
d. When x=1/2 then f(x) = 3
e. When x = 2 then f(x) = 2x-5
Given, g(x) = {-x+4 , if x≤-1
3 , if -1≤x<2
2x-5, if x≥2 }
a. when x = -4, f(x) = ?
-4 comes under the condition x≤-1.
therefore, when x=-4 ⇒ f(x) = -x+4
f(-4) = -4+4 = 0
b. when x=-2, f(x)= ?
Again -2 comes under the condition if x≤-1
therefore when x=-2 ⇒ f(x) = -x+4
f(-2) = -2+4 = 2
c. when x=-1, f(x) = ?
-1 comes under the condition if x≤-1
therefore, when x=-1 then f(x) = -x+4
f(-1) = -1+4 = 3
d. when x=1/2 , f(x) = ?
1/2 comes under the condition, if -1≤x<2
therefore, when x=1/2 then f(x) = 3.
e. when x=2, f(x) = ?
2 comes under the condition, if x≥2
therefore, when x=2 then f(x)= 2x-5.
hence we get the required results of the given functions.
Learn more about Functions here:
brainly.com/question/2328150
#SPJ9
Which numbers in Set A = {5, 9, 12, 14, 18} are elements of both Set B and Set C, shown below? Set B = {even numbers} Set C = {multiples of 3}
The numbers in Set A = {5, 9, 12, 14, 18} that are elements of both Set B and Set C, shown below Set B = {even numbers} Set C = {multiples of 3} will be 12 and 18.
How to illustrate the information?It should be noted that even numbers can be divided by 2.
The multiple of 3 in the numbers are 12 and 18 that can be divided by 2 as well.
Therefore, the numbers in Set A = {5, 9, 12, 14, 18} that are elements of both Set B and Set C, shown below Set B = {even numbers} Set C = {multiples of 3} will be 12 and 18.
Learn more about set on:
brainly.com/question/28365114
#SPJ1
WILL GIVE BRAINLIST EASY POINTS!!
The graph of the quadratic function x^{2} - 4x - 5 = 0 crosses the x-axis at x=-1 and x=5 What are the zeros of this function?
Answer:
x = - 1 and x = 5
Step-by-step explanation:
the zeros are the values of x where the graph crosses the x- axis
the graph crosses the x- axis at x = - 1 and x = 5 , then the zeros are
x = - 1 and x = 5
The function h (x) = startfraction 2 (x 3) over x endfraction is a result of the composition (g ∘ f)(x). if g (x) = startfraction 2 over x endfraction, what is f(x)? f (x) = startfraction 1 over x 3 endfraction f (x) = startfraction x over x 3 endfraction f(x) = x 3 f (x) = startfraction x 3 over x endfraction
The value of the function f(x) = 2x/(2x + 3).
What is defined as the function?A function is defined as a relationship between a set of inputs that each have one output.
A function is a connection between inputs in which each input is related to precisely one output. Every function does have a domain and a co-domain, as well as a range. In general, a function is denoted by f(x), where x is the input.Now, as per the question, the functions are give as;
h(x) = (2x + 3)/x
g(x) = 2/x
And, g(f (x) ) = h(x) = (2x + 3)/x ......(equation 1)
To estimate the value of f (x); Substitute x for f(x)
g(f (x) ) = 2/f (x) ......(equation 2)
Equation (equation 1 and 2).
2/f (x) = (2x + 3)/x
f (x) = 2x/ (2x + 3)
Thus, the value of the function f (x) = 2x/ (2x + 3).
To know more about the function, here
https://brainly.com/question/25638609
#SPJ4
The correct question is-
The function h (x) = StartFraction 2 (x + 3) Over x EndFraction is a result of the composition (g compose f) (x). If g (x) = StartFraction 2 over x EndFraction, what is f(x)?
The volume of the cone is 96 cm^3 and the radius is 6 cm. What is the height of the cone?
If the volume of the cone is 96 cm^3 and the radius is 6 cm then the height of the cone is equal to 2.55 cm.
The height of the cone can be defined as the extent of the altitude of the cone. The height of a cone can be determined using its volume and radius values. The formula for the volume of a cone can be given as:
V= πr²h/3
Here, V is the volume of the cone, r is the radius of the cone and h is the height.
This equation can be rearranged to find the value of height as follows,
h=3V/πr²
Now, add the given values to the equation,
h= 3(96)/π(6²)
h= 288/π(36)
As π = 3.14
h= 288/3.14(36)
h= 288/ 113.04
h= 2.55 cm
Thus, the height of the cone is calculated to be 2.55 cm.
To learn, more about height, click here:
https://brainly.com/question/9554871
#SPJ4
express [tex]\frac{5x^{2} +20x+16}{x(x+1)^{2} }[/tex] in partial fractions
Answer:
[tex]\dfrac{5x^2+20x+16}{x(x+1)^2} & \equiv \dfrac{16}{x}-\dfrac{11}{(x+1)}-\dfrac{1}{(x+1)^2}[/tex]
Step-by-step explanation:
When writing an algebraic fraction as an identity, if its denominator has repeated linear factors, the power of the repeated factor indicates how many times that factor should appear in the partial fractions.
Write out the fraction as an identity:
[tex]\begin{aligned}\dfrac{5x^2+20x+16}{x(x+1)^2} & \equiv \dfrac{A}{x}+\dfrac{B}{(x+1)}+\dfrac{C}{(x+1)^2}\\\\\implies \dfrac{5x^2+20x+16}{x(x+1)^2} & \equiv \dfrac{A(x+1)^2}{x(x+1)^2}+\dfrac{Bx(x+1)}{x(x+1)^2}+\dfrac{Cx}{x(x+1)^2}\\\\\implies 5x^2+20x+16 & \equiv A(x+1)^2+Bx(x+1)+Cx\end{aligned}[/tex]
Calculate the values of A and C using substitution:
[tex]\begin{aligned}\textsf{When }x=0 \implies 16 & =A(1)+B(0)+C(0) \implies A=16\\\\\textsf{When }x=-1 \implies 1 & =A(0)+B(0)+C(-1) \implies C=-1\end{aligned}[/tex]
Substitute the found values of A and C and expand the identity:
[tex]\begin{aligned}\implies 5x^2+20x+16 & \equiv 16(x+1)^2+Bx(x+1)-x\\& \equiv 16x^2+32x+16+Bx^2+Bx-x\\& \equiv (16+B)x^2+(31+B)x+16\\\end{aligned}[/tex]
Compare the coefficients of the x² term to find B:
[tex]x^2 \textsf{ term } \implies 16+B =5\implies B & =-11[/tex]
Replace the found values of A, B and C in the original identity:
[tex]\dfrac{5x^2+20x+16}{x(x+1)^2} & \equiv \dfrac{16}{x}-\dfrac{11}{(x+1)}-\dfrac{1}{(x+1)^2}[/tex]
Learn more about partial fractions here:
https://brainly.com/question/27773545
whats the answer for 5x5/2
round the following numbers to the nearest ten thousands: 1. 57,342 2. 76,564 3. 95,634 4. 85,756 5. 63,526
Answer:
1. 60,000
2. 80,000
3. 100,000
4. 90,000
5. 60,000
Step-by-step explanation:
Remember if the thousands digit is 5 or greater, round up, if the thousands digit is 4 or less, round down.
57342 (up) 76564 (up) 95634 (up) 85756 (up) 63526 (down)
Solve 2x+18=6y for x.
Answer:
x=3y−9Step-by-step explanation:
2x+18=6y
2x=6y−18
(2x)/2=(6y−18)/2
x=3y−9
Answer:
x = 3y−9Step-by-step explanation:
Add -18 to both sides:2x + 18+− 18=6y + −18
2x = 6y − 18
Divide both sides by 2:2x / 2= 6y −18 / 2
x = 3y −9
- The coordinate -5 has a weight of 3 and the coordinate 3 has a weight of 1. Find
the weighted average. Use the formula: WA = Sum of the Weighted Values
Sum of the Weights
Answers:
The weighted average of the given coordinates weights is; 3
What is the Weighted Average?
We are given that;
Coordinate of -5 has a weight of 3
Coordinate of 3 has a weight of 1
Now, we are given the formula to calculate the weighted average as;
WA = Sum of the Weighted Values/Sum of the Weights
Thus;
WA = ((-5 * 3) + (3 * 1))/(3 + 1)
WA = (-15 + 3)/4
WA = -12/4
WA = -3
We will take the absolute value which is; WA = 3
Read more about Weighted Average at; https://brainly.com/question/28469772
#SPJ1
The sum of 4 consecutive odd integers is -24. What are they?
Step-by-step explanation:
4 consecutive odd integers means we start with x, then have x+2, x+4 and then x+6.
and then we have
-24 = x + x+2 + x+4 + x+6 = 4x + 12
4x = -36
x = -9
x+2 = -7
x+4 = -5
x+6 = -3
so, in sequence from small to large these 4 numbers are
-9, -7, -5, -3
Given m|n, find the value of x.
Answer:
127°
Step-by-step explanation:
The angle that's represented with x and the angle with the measure 127 are alternate exterior angles because line m and line n are parallel.
And alternate angles has equal measures so if one is 127 then so is the other.
Therefore the value of x = 127
Evaluate f(x) = -2x + 5 when x = 8
If the prices of bananas is Mexico were 34 Peso per kilogram, what would be the price in
USD per pound. Use 1 kg = 2.205 pounds and 1 Peso = 0.04574 USD.
Round your answer to two decimal places.
The price of a banana is 0.71 (after round off) USD per pound.
Here the price of a banana in Mexico was 34 pesos per kilogram.
price of a banana in Mexico = 34 pesos per kilogram
We are provided with the following information,
1 kg = 2.205 pounds,
and 1 Peso = 0.04574USD
We have to find the price in USD per pound,
So we have,
=(34 × 0.04574 )÷ 2.205
= 0.7105 USD per pound
= 0.71 USD per pound (after round off)
Therefore the price of a banana in UDS per pound is 0.71 ( after round off) .
To know more about the Price refer to the link given below:
brainly.com/question/27844397
#SPJ1
What type of variable is the number of customers in line at the bank in a 24 hour period? qualitative continuous attribute discrete
The number of customers waiting in line at the bank over a 24-hour period is a discrete variable type.
By discrete variable, what do you mean?A variable whose value is determined by counting is referred to as a discrete variable. examples: the number of pupils in attendance. how many red marbles are in the container. when triple coins are turned, the count of heads. The number of pupils, kids, the shoe size, and so forth are some typical examples of discrete data. A statistical variable is referred to as a discrete variable if it presupposes a finite collection of data and a countable number of values. Contrarily, a continuous variable is a quantitative variable that accepts an endless quantity of data and an uncountable number of values.
To learn more about discrete variables, click here:
https://brainly.com/question/13339063
#SPJ4