Answer:
a. p(x) and q(x) have the same domain and the same range.
Step-by-step explanation:
Which statement best describes the domain and range of p(x) = 6–x and q(x) = 6x? a. p(x) and q(x) have the same domain and the same range. b. p(x) and q(x) have the same domain but different ranges. c. p(x) and q(x) have different domains but the same range. d. p(x) and q(x) have different domains and different ranges.
Answer: The domain of a function is the set of all values for the independent variable (i.e the input values, x values).
The range of a function is the set of all values for the dependent variable (i.e the output values, y values).
Both p(x) = 6–x and q(x) = 6x are linear functions, the domain and range of a linear function is the set of all real numbers i.e for a linear function:
Domain = (-∞, ∞)
Range = (-∞, ∞)
Therefore p(x) and q(x) have the same domain and the same range.
Answer: It’s A
Step-by-step explanation:
On edge
**BRAINLIEST IF ANSWERED**
Which equation represents a circle that has a diameter of 10 units and a
center at (4,-1)?
(x+4)^2+(y+1)^2=5
(x-4)^2+(y+1)^2=5
(x-4)^2+(y+1)^2=25
(x+4)^2+(y-1)^2=10
Answer:
third option
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (4, - 1) and r = 10÷ 2 = 5, thus
(x - 4)² + (y - (- 1))² = 5², that is
(x - 4)² + (y + 1)² = 25 ← equation of circle
Find the value of x^3 + y^3 + 12xy – 64, when x +y = 4
Answer:
0
Step-by-step explanation:
Using the algebraic identity
(x + y)³ = x³ + y³ + 3xy(x + y) ← substitute x + y = 4
4³ = x³ + y³ + 12xy , that is
x³ + y³ + 12xy = 64 ( subtract 64 from both sides )
x³ + y³ + 12xy - 64 = 0
Answer:
the answer is zero
Step-by-step explanation:
x^3 + y^3 + 12xy – 64 factorize the polynomial
x^3+y^3-4^3+3(4xy) 64 is 4^3
take x+y-4 as a common factor
(x+y-4)(x^2-xy+4x+y^2+4y+16) substitute x+y=4
(4-4)(x^2+y^2-4^2-3xy)
=0 any amount multiply by zero =0
HELP ASAP !!!!! pleaseeee
A new square has dimensions that are the size of the original square. What statements are true? Select all that
10
apply.
The dimensions of the new square are 10 times the dimensions of the original square.
1
The perimeter of the new square is
10
times the perimeter of the original square.
The perimeter of the new square is equal to the perimeter of the original square.
The perimeter of the new square is 10 times the perimeter of the original square.
1
The area of the new square is
times the area of the original square.
100
The area of the new square is 100 times the area of the original square.
Answer: The new square is the same since it hasn't changed it's size.
Step-by-step explanation: cause it is
Answer:
is B and E
Step-by-step explanation:
I did it on edge
Which option or options is correct?
All of them are true.
A: Rule.
B: There exist such functions f and g that satisfy the equality.
C: According to (A) this is acceptable.
D: Rule.
Hope this helps.
Answer:
D part
Step-by-step explanation:
A pile of 55 coins consisting of nickels and dimes is worth $3.90 . Find the number of each.
Answer:
Answer:
Answer is: 32 nickels and 23 dimes.
x - number of nickels .
y -number of dimes.
two equations in two unknowns:
1) x + y = 55
2) 0,05x + 0,1y = 3,90.
nickel is a five-cent coin.
dime is a ten-cent coin.
solve equation 1) for x and substitute for x in equation 2)
x = 55 - y
0,05·(55 - y) + 0,1y = 3,902,75 - 0,05y + 0,1y = 3,90
0,05y = 1,15
y = 23.
x = 55 - 23 = 32.
The function below represents the interest Kristina earns on an investment. Identify the term that represents the amount of money originally invested. f(x) = 5,000(1 + 0.04)x
Answer:
The amount of money originally invested which is the principal P = 5,000
Step-by-step explanation:
Using the compound interest formula, the return on investment can be represented on the interest function as;
f(x) = P(1+r)^x
Where
P is the principal which is the initial investment.
r = rate Proportion
x = time (number of years)
Comparing to the given function;
f(x) = 5,000(1 + 0.04)^x
We can see that;
Principal P = 5,000
Rate r = 0.04
time = x
The amount of money originally invested which is the principal P = 5,000
Please answer it now in two minutes
Answer:
Angle QUR = Angle RQS = 34 degrees
Step-by-step explanation:
Angle QUR is equal to Angle RQS, which in turn is 34 degrees.
Approximate the stationary matrix S for the transition matrix P by computing powers of the transition matrix P. Pequalsleft bracket Start 2 By 2 Matrix 1st Row 1st Column 0.38 2nd Column 0.62 2nd Row 1st Column 0.24 2nd Column 0.76 EndMatrix right bracket
Answer:
The stationary matrix is:
S = [0.2791, 0.7209]
Step-by-step explanation:
The transition matrix, P is:
[tex]P=\left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right][/tex]
The stationary matrix S for the transition matrix P would be obtained by computing k powers of P until all the two rows of P are identical.
Compute P² as follows:
[tex]P^{2}=\left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right][/tex]
[tex]=\left[\begin{array}{cc}0.2932&0.7068\\0.2736&0.7264\end{array}\right][/tex]
Compute P³ as follows:
[tex]P^{3}=P^{2}\times P[/tex]
[tex]=\left[\begin{array}{cc}0.2932&0.7068\\0.2736&0.7264\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2810&0.7190\\0.2783&0.7217\end{array}\right][/tex]
Compute P⁴ as follows:
[tex]P^{4}=P^{3}\times P[/tex]
[tex]=\left[\begin{array}{cc}0.2810&0.7190\\0.2783&0.7217\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2793&0.7207\\0.2790&0.7210\end{array}\right][/tex]
Compute P⁵ as follows:
[tex]P^{5}=P^{4}\times P[/tex]
[tex]=\left[\begin{array}{cc}0.2793&0.7207\\0.2790&0.7210\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2791&0.7209\\0.2791&0.7209\end{array}\right][/tex]
For k = 5, we get both the rows identical.
The stationary matrix is:
S = [0.2791, 0.7209]
Find the area of the shape shown below.
Answer:
31.5
Step-by-step explanation:
To find the area of this shape we must divide it into 2 parts :
Part 1 : the triangle Area= (3*(7/2))/2= 10.5 Part 2: the rectangle Area = 7*3 = 21 The total area is : A= 21+10.5=31.5If m∠VWA=120∘ and m∠BWC=(32x−27)∘, what is the value of x?
Answer:
Value of x = 4.6 (Approx)
Step-by-step explanation:
Note:
The statement in given question is missing that both angles are congruent.
Given:
m∠VWA = 120°
m∠BWC = (32 x - 27)°
Find:
Value of x
Computation:
We know that,
⇒ m∠VWA = m∠BWC
⇒ 120 = 32x - 27
⇒ 120 + 27 = 32x
⇒ 147 = 32x
⇒ x = 147 / 32
⇒ x = 4.59375
x = 4.6 (Approx)
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer: B. H(t) = -6.9(t - 2.3)² + 112
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k
where (h, k) is the vertex ⇒ k is the maximum height
the distance traveled is when y = 0 ⇒ [tex]x=\sqrt{\dfrac{-k}{a}}+h[/tex]
Given: H(t) = -7.1(t - 2.3)² + 98
maximum height (k) = 98 feet
distance traveled (x) = [tex]\sqrt{\dfrac{-98}{-7.1}}+2.3[/tex] = 6.02 seconds
A) H(t) = -7.5(t - 2.2)² + 112
maximum height (k) = 112 feet
distance traveled (x) = [tex]\sqrt{\dfrac{-112}{-7.5}}+2.2[/tex] = 6.06 seconds
B) H(t) = -6.9(t - 2.3)² + 112
maximum height (k) = 112 feet
distance traveled (x) = [tex]\sqrt{\dfrac{-112}{-6.9}}+2.3[/tex] = 6.33 seconds
C) H(t) = -6.9(t - 2.4)² + 95
maximum height (k) = 95 feet
This has a lower height than the given equation.
D) H(t) = -7.5(t - 2.3)² + 95
maximum height (k) = 95 feet
This has a lower height than the given equation.
Both options A and B travel higher and stay in the air longer than last year's winner, however option B stays in the air longer than option A.
the ratio 2.5m to 60cm can be written in the form 1:n find the value of n. someone please help asap
Answer:
1 : 6/25
Step-by-step explanation:
Convert 2.5 meters to cm
We know 100 cm = 1m
2.5 m * 100cm / 1m = 250 cm
250 cm : 60 cm
Divide by 250
250/250 = 60/250
1 : 6/25
or as a decimal
1 : .24
What is 1/2 + 1/3 + 1/4 - (.2 +.3 +.4)? Express your solution as a simplified fraction.
Answer:
2
Step-by-step explanation:
1/2+1/3+1/4 - 0.9
0.9 = 9/10
So, 1/2+1/3+1/4+9/10
The LCD is 60:
30/60+20/60+15/60+54/60 = 120/60
120/60 = 2
PLEASE MARK ME BRAINLIEST!
Answer:
2
Step-by-step explanation:
Please help; thank you! :D ((I would offer some points, but I'm new and I don't know how that works lol))
Answer/Step-by-step explanation:
Given that the side length of a squared field is represented by the expression 3 - 7x,
a. Perimeter of the squared field (expressed as a sum):
Permimeter of a square = s + s + s + s
All sides of a square are of equal length.
s = side length of the squared field = 3 - 7x
Thus,
Perimeter expressed as a sum = (3-7x) + (3-7x) + (3-7x) + (3-7x)
b. Permitted of squared field expressed as a product:
Perimeter of square expressed as product = 4(s)
s = side length of squared field = 3 - 7x
Permimeter of squared field expressed as a product = 4(3 - 7x)
c. An equivalent expression for the product in (b) can be written using the distributive property as follows:
Perimeter = 4(3 - 7x)
Perimeter = 4(3) - 4(7x)
Please help! If P(A)=0.2 and P(A and B)=0.12, and P(A or B)=0.68, what is P(B)?
0.8
0.08
0.6
0.06
Answer:
P(B) = 0.6
Step-by-step explanation:
P(A and B) = P(A) * P(B)
0.12 = 0.2 * P(B)
P(B) = 0.6
P(A or B) = P(A) + P(B) - P(A and B)
0.68 = 0.2 + P(B) - (0.12)
P(B) = 0.6
wILL GIVE BRAINLIST Examine the diagram and information to answer the question. A circle in the coordinate plane has a radius of 6 and a center at the point (3,2). Point (x,y) lies on the circle. The triangle formed by points (3,2), (x,2) and (x,y) is a right triangle. What is the equation of the circle? Match the expression or equation to the steps used to find the equation of the circle.
Step 1: Find the length of the vertical leg of the right triangle
Step 2: Find the length of the horizontal leg of the right triangle.
Step 3: Use the Pythagorean Theorem to find the equation of the circle
answERS:
(x−3)2+(y−2)2=6^2
(x−2)2+(y−3)2=6^2
|y−3|
|y−2|
|x−3|
|x−2|
Answer: To find the equation of the circle, it is not necessary to find the legs of the triangle first.
The length of the legs (equal) is 3√2 or 4.243
Step-by-step explanation:
The equation for a circle is similar to the Pythagorean Theorem
a² + b² = c²
( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.
The a and b terms are changed to allow insertion of h and k to locate the center of the circle on a Cartesian plane.
You can get the information needed from
Given: radius =6 and "a center at the point (3,2)"
Substitute 3 for h and 2 for k and 6 for r
( x - 3 )² + ( y - 2 )² = 6² This is the equation of the circle .
From the diagram, it appears that x-3 = y-2
So, in the equation, we can substitute 2(x²) = 36
x² = 36/2 . x² = 18
√x² = √18 = √9(2)
x = 3√2 =4.2426
the length of the horizontal leg is 4.243
Substitute for x in to find x+3 the coordinate (x,2)
the coordinate x, 2 is (7.24, 2)
Substitute for y in to find y+2, the length of the vertical leg is 4.243.
y + 2 = 6.243
So the coordinate (x,y) on the circle is (7.24, 6.24)
This does not account for Step 1 and Step 2 in the question, matching expressions or equations to the steps. I hope you will be able to sort that our with the information here.
What is the name of the map maker who, according to some, gave Venezuela its name? Salvador Dali Christopher Colombus Amerigo Vespucci Leonardo Da Vinci
The answer is C. Amerigo Vespucci
Explanation:
Venezuela is a South-American country that was first discovered and colonized by Spanish explorers. This process included multiple expeditions that allowed colonizers to better understand the features of the territory and native people. One of these expeditions that took place in 1499, included the Italian mapmaker, Amerigo Vespucci. About this, it is claimed he considered the territory and the houses found near a lake resemble Venice, and due to this, he named the territory as "Veneziola", which later changed to the modern name Venezuela.
Answer:
c c a d c
Step-by-step explanation:
answers to the quiz edge got 100% source trust bro
What is the area of the shaded sector, given circle Q has a diameter of 10?
Answer:
25 pie square units
Step-by-step explanation:
it is because as they showed 90 degree as the on side the other sides=90*3 so we can easily find it
The area of the shaded region will be 18 ³/₄ π square units. Then the correct option is A.
What is the area of the sector?Let r be the radius of the sector and θ be the angle subtended by the sector at the center. Then the area of the sector of the circle will be
Arc = (θ/2π) πr²
The central angle of the shaded region is (3/2)π radian. And the diameter of the sector is 10 units. Then the radius of the sector is given as,
r = d / 2
r = 10 / 2
r = 5 units
The area of the shaded region is given as,
A = ((3/2)π/2π) π (5)²
A = 25 x (3/4)π
A = (75/4)π
A = 18 ³/₄ π square units
The area of the shaded region will be 18 ³/₄ π square units. Then the correct option is A.
More about the area of the sector link is given below.
https://brainly.com/question/7512468
#SPJ2
What is the expression for f(x) when we rewrite (1/49)^x * (1/7)^(6x+11) as (1/7)^(f(x))?
Answer:
f(x)=8x+11
Step-by-step explanation:
The expression for f(x) is 8x+11.
What is an equivalent expression?An equivalent expression is an expression that has the same value but does not look the same. When you simplify an expression, you're basically trying to write it in the simplest way possible.
For the given situation,
The expression (1/49)^x * (1/7)^(6x+11)
[tex][(\frac{1}{49} )^x] [ (\frac{1}{7} )^{(6x+11) }][/tex]
⇒ [tex][(\frac{1}{7^{2} } )^x] [ (\frac{1}{7} )^{(6x+11) }][/tex]
⇒ [tex][(\frac{1}{7} )^{2x} ] [ (\frac{1}{7} )^{(6x+11) }][/tex]
⇒ [tex]\frac{1}{7} ^{(2x+6x+11)}[/tex] [∵ [tex][a^{n}][a^{m} ] = a^{n+m}[/tex]]
⇒ [tex]\frac{1}{7} ^{(8x+11)}[/tex]
On comparing this expression with [tex]\frac{1}{7} ^{f(x)}[/tex],
we get f(x) as [tex]8x+11[/tex].
Hence we can conclude that the expression for f(x) is 8x+11.
Learn more about equivalent expression here
https://brainly.com/question/11326971
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What is the third quartile of this data set?
20, 21, 24, 25, 28, 29, 35, 37, 39, 42, 44
A. 24
B. 44
C. 29
O D. 39
SU
Answer:
D
Step-by-step explanation:
First find the median of the data set
The median is the middle value of the data in ascending order
20, 21, 24, 25, 28, 29, 35, 37, 39, 42, 44
↑ median = 29
The third quartile is the middle value of the data to the right of the median
35, 37, 39, 42, 44
↑ third quartile
The third quartile of the data set is 39
A box plot is shown below: *check file attached* What is the median and Q1 of the data set represented on the plot? A. Median = 30; Q1 = 20 B. Median = 33; Q1 = 20 C. Median = 30; Q1 = 25 D. Median = 33; Q1 = 25
Hey there! I'm happy to help!
A box and whisker plot is a super useful tool for finding these kinds of data!
The ends of the whiskers represent the maximum and minimum point in the data set. With this plot, we can immediately see that the maximum is 44 and the minimum is 20.
Then, we have a box. The edges of the box represent the 1st and 3rd quartiles. The 1st quartile is the median or middle of the first half of the data set and the 3rd quartile is the median of the second half. We see that the 1st quartile is 25 because the left edge of the box aligns with 25. The 3rd quartile is 39 by looking at the plot.
The median is the middle number of the data set. The median is represented by the line that splits the box. We see that the median is 33 by looking at the plot.
So, by interpreting the box and whisker plot, we see that the answer is D. Median=33; Q1=25.
Now you can interpret box and whisker plots! Have a wonderful day! :D
A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4StartRoot 3 EndRoot cm and an area of 12StartRoot 3 EndRoot cm2. What is the volume of the pyramid?
This question is incomplete. Find attached to this answer the required diagram.
Answer:
16√3 cm³
Step-by-step explanation:
Volume of a pyramid = 1/3 × Base area × Height
The base area is given as 12√3 cm²
But the height is not given
From the attached diagram an angle was given
Using Trigonometric function of Tangent
tan = Opposite/Adjacent
Opposite = Height of the pyramid
Adjacent = base length of the pyramid = 4√3
Hence,
tan 30° = opposite/4√3
Cross multiply
Opposite = tan 30° × 4√3
Opposite = Height of the pyramid = 4 cm
Volume of a pyramid = 1/3 × Base area × Height
= 1/3 × 12√3 × 4
= 16√3 cm³
Answer:
B. 16√3 cm³
Step-by-step explanation:
Just took the Pre-Test on Edg (2020-2021)!!
The graphs below have the same shape.What is the equation of the red graph ?
Answer:
B. G(x) = x³ - 5
Step-by-step explanation:
The graphs below are the same shape. They share the same formula but different y-intercepts.
F(x) = x³ has a y-intercept of 0.
F(x) = x³ + 0
G(x) has a y-intercept of -5.
G(x) = x³ - 5
Answer:
x^3 - 5
Step-by-step explanation:
On a block of ten houses, k are not insured. a tornado randomly damages three houses on the block. the probability that none of the damaged houses are insured is 1/120. calculate the probability that at most one of the damaged houses is insured.
Answer:
[tex]P=0.1833[/tex]
Step-by-step explanation:
The number of ways or combinations in which we can choose x elements from a group of n is calculated as:
[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]
So, the probability that none of the damaged houses are insured can be calculated as:
[tex]\frac{kC3}{10C3}=\frac{kC3}{120}[/tex]
Because there are 120 ways to select 3 houses from the block of 10 houses and there are kC3 ways to select 3 houses from a group of k houses that are not insured.
The probability that none of the damaged houses are insured is 1/120, so:
[tex]\frac{kC3}{120}=\frac{1}{120}\\ kC3=1[/tex]
kC3 is equal to 1, only if k is equal to 3. It means that there are 3 houses that are not insured.
Then, the probability that one of the damaged houses is insured can be calculated as:
[tex]\frac{3C2*7C1}{10C3}=0.175[/tex]
Because we select 2 houses from the 3 that are not insured and select 1 house from the 7 that are insured.
Finally, the probability that at most one of the damaged houses is insured is equal to the sum of the probability that one of the damaged houses is insured and the probability that none of the damaged houses is insured. It is equal to:
[tex]P=\frac{1}{120}+0.175=0.1833[/tex]
What statements is equal to the expression p\11
Answer: "p divided by 11" or "p over 11" or "p by 11".
Step-by-step explanation:
We use mathematical statements to express any algebraic expression.
For example: We write 2x as "2 is multiplied by x " or " product of 2 and x".
p+q as "sum of p and q" or "p is added to q"
The given expression is : [tex]\dfrac{p}{11}[/tex]
In mathematical statements, it can be written as "p divided by 11" or "p over 11" or "p by 11".
Hence, the statements are equal to the expression [tex]\dfrac{p}{11}[/tex] are "p divided by 11" or "p over 11" or "p by 11".
Please help and show work ..... need fast ... college algebra The half-life for thorium-227 is 18.72 days. The amount A (in grams) of thorium-227 after t days for a 10-gram sample is given by A(t)=10⋅0.5^t/18.72 How long will it take before 1 grams of thorium-227 is left in the sample? Round your answer to the hundredths place. days
Answer:
62.17 days
Step-by-step explanation:
The computation of the number of days is shown below:
Given that
A(t)=10 × 0.5^(t ÷ 18.72)
1 = 10 × 0.5 ^ (t ÷ 18.72)
0.1 = 0.5 ^ (t ÷ 18.72)
Now consider the log in both sides
ln(0.1) = ln(0.5)^ (t ÷ 18.72)
ln(0.1) ÷ ln(0.5) = (t ÷ 18.72)
3.321928095 = (t ÷ 18.72)
So, t = 62.17 days
With the help of log, we can easily compute it
what's the best prouduct of these fractions 4/7×8/9×14/15
━━━━━━━☆☆━━━━━━━
▹ Answer
448/945
▹ Step-by-Step Explanation
[tex]\frac{4}{7} * \frac{8}{9} \\\\= \frac{32}{63} \\\\\\\frac{32}{63} * \frac{14}{15\\} \\\\= \frac{448}{945}[/tex]
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
Step-by-step explanation:
4/7×8/9×14/15
= 64/135
Evaluate 4x² + 2xy for x = 5 and y = 2.
Hey there! :)
Answer:
120.
Step-by-step explanation:
Substitute in 5 for x and 2 for y into the expression 4x² + 2xy:
4(5)² + 2(5)(2) =
4(25) + 2(10) =
100 + 20 =
120.
A rectangle has a perimeter of 66 meters and a height of 14.2 meters. What is the length of the base?
Hey there! I'm happy to help!
The perimeter is the distance around the rectangle. You have used the word height, but I will replace it with the word width because the word height is usually used with 3D shapes.
If W is the width and the length is L, the formula for the perimeter is 2W+2L=P.
We can plug in the numbers we already have to solve for L, the length of our base.
2(14.2)+2L=66
28.4+2L=66
We subtract 28.4 from both sides.
2L=37.6
We divide both sides by 2.
L=18.8
The length of the base is 18.8 meters.
Have a wonderful day!
pls help,look at picture attached (giving 10 points)
Answer:
just cuase u answered mine x=8
Step-by-step explanation:
good luck