Answer:
The answer is "[tex]\bold{(x,y)\longrightarrow (x-8, y-7)}[/tex]".
Step-by-step explanation:
In the given question some data is missing. so, the correct answer to this can be explained in the following example:
In the given example, point D is also known as the coordinates in the (2, 5), and in the coordination of the D prime (D') and after translation its co-ordinates value is (-6, -2). Since the very first choice is only accurate as:
⇒2-8 = -6
⇒ 5-7 = -2
It can try certain things too and see why this alone is the correct translation.
WILL MARK BRAINLIEST!!!!!!!! :))))))))))))))))
Answer:
(A) No solution
(B) One solution
(C) One solution
(D) One solution
(E) No solution
Please tell me if this is incorrect. I hope this helps!
(1/16)^(x+3) = (1/4)^(x+1)
Answer:
x=-5
Step-by-step explanation:
The answer is x = -5. The explanation and answer is in the image below.
what is the domain of the function represented by the graph.?
Answer:
all real numbers
Step-by-step explanation:
There is nothing on the graph to indicate the function is undefined for any values of x. The domain is all real numbers.
Answer:
Domain is all real numbers.
Step-by-step explanation:
The domain of a quadratic function in standard form is always all real numbers, meaning you can substitute any real number for x.
the volume v (in cubic inches) of a rectangular cardboard box is modeled by the function v(x)= (18-2x)(3-2x)x, where x is the width (in inches) of the box. Determine the values of x for which the model makes sense. Explain your reasoning. (WILL GIVE BRAINLY FOR BEST ANSWER!!!)
Answer:
0 < x < 3/2
Step-by-step explanation:
The dimensions are positive when ...
18 -2x > 0 ⇒ x < 9
3 -2x > 0 ⇒ x < 3/2
x > 0
So, the values of x where the model makes sense are ...
0 < x < 3/2
what is the product of (-a+3)(a+4)?
[tex](-a+3)(a+4)=-a^2-a+12[/tex].
Hope this helps.
Answer:
-a²-a+12
Step-by-step explanation:
-a²+3a-4a+12
-a²-a+12
The Department of Health in the United Kingdom wants to know whether the healthcare system is achieving its goals in Scotland. Much information about healthcare comes from patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the Department of Health conducted the Scotland Health Survey, which was used to interview a random sample of 34,572 people who live in Scotland.
Part A: What is the population for this sample survey? What is the sample? (4 points)
Part B: The survey found that 70% of males and 87% of females in the sample had visited a general practitioner at least once during the past year. Do you think these estimates are close to the truth about the entire population? Explain. (6 points)
Answer:
A. the population for this sample survey is 34,572 people, and the sample is the people who live in Scotland.
B. The estimates are close to the truth about the entire population.
Step-by-step explanation:
A. According to the given data we have that it was used to interview a random sample of 34,572 people who live in Scotland, therefore, the population for this sample survey is 34,572 people, and the sample is the people who live in Scotland.
B. The estimates are close to the truth about the entire population becuase a large sample was conducted, hence we can make an aproximation that represents the population parameter.
Can someone help me solve this :): ?
( brainliest to the correct answer/explanation)
Answer:
1and1/2yrs ago
Step-by-step explanation:
price dis year= 56545
reduction per year= 11309
...number of years ago = 73810-56545=17265
and is about 20% of annual deductions
so if 56545 +20% + 1/2 20% = 1nd1/2 yrs
Explain why f(x) = x^2-x-6/x^2-9 is not continuous at x = 3.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex]
Required
Why is the function not continuous at x = 3
First substitute 3 for x at the denominator
[tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex]
Factorize the numerator and the denominator
[tex]f(x) = \frac{x^2 - 3x+2x -6}{x^2 - 3^2}[/tex]
[tex]f(x) = \frac{x(x - 3)+2(x -3)}{(x - 3)(x+3)}[/tex]
[tex]f(x) = \frac{(x+2)(x - 3)}{(x - 3)(x+3)}[/tex]
Divide the numerator and denominator by (x - 3)
[tex]f(x) = \frac{x+2}{x+3}[/tex]
Substitute 3 for x
[tex]f(3) = \frac{3+2}{3+3}[/tex]
[tex]f(3) = \frac{5}{6}[/tex]
Because [tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex] is defined when x = 3;
Then the function is continuous
Answer:
A: f is not defined at x = -3
Step-by-step explanation: EDGE 2020
I need help i will mark brainliest please
Answer:
1) true
2) false
hope it worked
and pls mark me as BRAINLIEST
Given the sequence -3, 9, -27, 81, -243, ..., find the recursive formula.
Answer:
[tex]a_{n}[/tex] = - 3[tex]a_{n-1}[/tex]
Step-by-step explanation:
There is a common ratio between consecutive terms of the sequence, that is
r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 243 ÷ 81 = - 3
The recursive formula is of the form
[tex]a_{n}[/tex] = r[tex]a_{n-1}[/tex] = - 3[tex]a_{n-1}[/tex]
if an article is sold with 20% discount,there will be a profit of 15%.If it is sold at 10% discount, there will be a profit of Rs.200.Calculate the market price of an article
Answer:
The market price of the article is Rs. 978.72
Step-by-step explanation:
Let x represents the market price.
Let y represents the selling price.
Let z represents the cost price.
if an article is sold with 20% discount then there will be a profit of 15%.
SP = CP+Profit =z+0.15z=1.15z
ATQ
[tex]0.80x = 1.15z\\0.80x- 1.15z = 0[/tex]
If it is sold at 10% discount then there will be a profit of Rs.200
ATQ
[tex]0.9x - z = 200[/tex]
Now we are supposed to find the market price of an article.
[tex]0.9x - z= 200[/tex]
Multiplying 1.15 both sides
[tex]0.9x \times 1.15 - 1.15z = 200 \times 1.15\\1.035x - 1.15z = 230[/tex]
We know that[tex]1.15z = 0.80x[/tex]
[tex]1.035x - 0.80z = 230\\0.235x = 230\\x = \frac{230}{0.235}\\x= Rs. 978.72[/tex]
Hence The market price of the article is Rs. 978.72
Find the ratio in which the line joining the points (2, 4, 16) and (3, 5, -4) is divided by the plane 2x – 3y+ z+ 6 = 0. Also find the co-ordinates of the point of division
Answer:
Step-by-step explanation:
let the plane intersects the join of points in the ratio k:1
let (x,y,z) be the point of intersection.
[tex]x=\frac{3k+2}{k+1} \\y=\frac{5k+4}{k+1} \\z=\frac{-4k+16}{k+1} \\\because ~(x,y,z)~lies~on~the~plane.\\2(\frac{3k+2}{k+1} )-3(\frac{5k+4}{k+1} )+\frac{-4k+16}{k+1} +6=0\\multiply~by~k+1\\2(3k+2)-3(5k+4)+(-4k+16)+6(k+1)=0\\6k+4-15k-12-4k+16+6k+6=0\\-7k+14=0\\k=2\\x=\frac{3*2+2}{2+1} =\frac{8}{3} \\y=\frac{5*2+4}{2+1}= \frac{14}{3} \\z=\frac{-4*2+16}{2+1} =\frac{8}{3}[/tex]
point of intersection is (8/3,14/3,8/3)
and ratio of division is 2:1
For what value of x does 5^x-2 not equal zero?
a. all except 2
b. all except 0
c. all except -4
d. all except -2
e. all real numbers
Answer:
E: all real numbers
Step-by-step explanation:
Write an equation of a line with the given slope and y-intercept. m = 1, b = 4 a) y = x – 4 b) y = –1x + 4 c) y = x + 4 d) y = 4x + 1
Answer:
y = x+4
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 1x+4
y = x+4
Answer:
[tex]\boxed{y=x+4}[/tex]
Step-by-step explanation:
The slope-intercept form of a line:
[tex]y = mx+b[/tex]
m is the slope and b is the y-intercept
[tex]m=1\\b=4[/tex]
[tex]y = 1x+4[/tex]
Please help me with this problem! If anybody answers first in this, i will give brainliest to you! Be the first one to answer this then i will give out a brainliest award to you!
Are you sure your that person?
Answer:
32 remainder 2
Step-by-step explanation:
To divide 162 by 5, we simply do the following:
5 goes into 16 => 3
Multiply 5 by 3 => 3 × 5 = 15
Subtract 15 from 16 => 16 – 15 = 1
Put the 1 before 2 => 12
5 goes into 12 => 2
Multiply 5 by 2 => 5 × 2 = 10
Subtract 10 from 12 => 12 – 10 => 2
In summary,
162 divided by 5 => 32 remainder 2
Please see attached photo for further details.
The points (- 1, – 2), (1, 0), (- 1, 2), (- 3, 0) forms a quadrilateral of type:
Answer:
A square.
Step-by-step explanation:
Please thank you! I will give brainleist to the first correct answer if it lets me
Answer:
x=10 y=12
Step-by-step explanation:
just multiply 15 and 18 by 1/3 because both triangle are similar.
Answer:
x = 10; y = 12
Step-by-step explanation:
find the scale factor ratio using corresponding sides: 9 / 6 = 3/2 so the ratio is 3:2
from large triangle to small triangle you will get:
1. 15 / x
2. 18 / y
to implement the ratio, set the side length ratio equal to the scale factor:
1. [tex]\frac{15}{x}[/tex] = [tex]\frac{3}{2}[/tex]
2. [tex]\frac{18}{y}[/tex] = [tex]\frac{3}{2}[/tex]
cross multiply:
1. 30 = 3x
2. 36 = 3y
divide:
1. x = 10
2. y = 12
graph the circle x2 + y2 - 12x + 6y +36 =0
x^2+y^2-12x+6y+36=0
Top Point: (6,0)
Left Point: (3,-3)
Right Point: (9,-3)
Bottom Point: (6,-6)
Answer:
[tex] x^2 +y^2 -12x +6y +36 =0[/tex]
And we can complete the squares like this:
[tex] (x^2 -12x +6^2) + (y^2 +6y +3^2) = -36 +6^2 +3^2[/tex]
And we got:
[tex] (x-6)^2 + (y+3)^2 = 9[/tex]
And we have a circle with radius r =3 and the vertex would be;
[tex] V= (6,-3) [/tex]
The graph is on the figure attached.
Step-by-step explanation:
For this case we have the following expression:
[tex] x^2 +y^2 -12x +6y +36 =0[/tex]
And we can complete the squares like this:
[tex] (x^2 -12x +6^2) + (y^2 +6y +3^2) = -36 +6^2 +3^2[/tex]
And we got:
[tex] (x-6)^2 + (y+3)^2 = 9[/tex]
And we have a circle with radius r =3 and the vertex would be;
[tex] V= (6,-3) [/tex]
The graph is on the figure attached.
Which statements are true regarding undefinable terms in geometry?
C. A line has one dimension, length.
E. A plane consists of an infinite set of lines.
Item 25 The linear function m=45−7.5b represents the amount m (in dollars) of money that you have after buying b books. Select all of the values that are in the domain of the function. 0 1 2 3 4 5 6 7 8 9 10
Answer:
[tex]Domain: \{0,1,2,3,4,5,6\}[/tex]
Step-by-step explanation:
Given
[tex]m = 45 - 7.5b[/tex]
[tex]Values: \{0,1,2,3,4,5,6,7,8,9,10\}[/tex]
Required
Select all values that belongs to the domain of the given function
Analyzing the question;
The question says that the function, m represent the amount left after buying b number of books
This means that, after purchasing b books, I'm expected to have a certain m amount of dollars left with me;
This implies that the value of m can never be negative;
So, the domain of m are values of b such that [tex]m \geq 0[/tex]
When b = 0
[tex]m = 45 - 7.5(0)[/tex]
[tex]m = 45 - 0[/tex]
[tex]m = 45[/tex]
When b = 1
[tex]m = 45 - 7.5(1)[/tex]
[tex]m = 45 - 7.5[/tex]
[tex]m = 37.5[/tex]
When b = 2
[tex]m = 45 - 7.5(2)[/tex]
[tex]m = 45 - 15[/tex]
[tex]m = 30[/tex]
When b = 3
[tex]m = 45 - 7.5(3)[/tex]
[tex]m = 45 - 22.5[/tex]
[tex]m = 22.5[/tex]
When b = 4
[tex]m = 45 - 7.5(4)[/tex]
[tex]m = 45 - 30[/tex]
[tex]m = 15[/tex]
When b = 5
[tex]m = 45 - 7.5(5)[/tex]
[tex]m = 45 - 37.5[/tex]
[tex]m = 7.5[/tex]
When b = 6
[tex]m = 45 - 7.5(6)[/tex]
[tex]m = 45 - 45[/tex]
[tex]m = 0[/tex]
When b = 7
[tex]m = 45 - 7.5(7)[/tex]
[tex]m = 45 - 52.5[/tex]
[tex]m = -7.5[/tex]
There's no need to check for other values, as they will result in negative values of m;
Hence, the domain of m are:
[tex]Domain: \{0,1,2,3,4,5,6\}[/tex]
The values that are in the domain of the function are 7, 8, 9 and 10
Linear functionsGiven the linear function m=45−7.5b
where:
b represents the amount m (in dollars) of moneyFor th domain to exist, then;
45 - 7.5b< 0
7.5 b > 45
b > 45/7.5
b > 6
Hence the values that are in the domain of the function are 7, 8, 9 and 10
Learn more on domain here; https://brainly.com/question/10197594
What is the result of subtracting the second equation from the first? \begin{aligned} -2x+7y &= 10 \\\\ 3x+7y &= 2 \end{aligned} −2x+7y=10 3x+7y=2
Answer:
-5x = 8
Step-by-step explanation:
The result is shown here. The y-terms cancel.
[tex]\begin{array}{rccc}& -2x+7y &= &10 \\-&(\ \,3x+7y &= &2)\\\cline{1-4}&-5x+0y&=&8 \end{array}[/tex]
The simplified result is ...
-5x = 8
Answer:
The result is that 5x = -8
Step-by-step explanation:
Here, we want to subtract 3x + 7y = 2 from -2x + 7y = 10
Mathematically that would be;
(-2x+7y)-(3x+7y) = 10-2
-2x + 7y -3x -7y = 8
-2x -3x + 0 = 8
-5x = 8 or 5x = -8
Keats Library purchases a number of new books, all in the category of biography; the library does not acquire any other books. With the addition of the new biographies, the biography collection of the library amounts to 37.5% of the new total number of books in the library. If prior to the purchase, only 20% of the books in Keats Library were biographies, by what percent has the number of biographies in the library increased
Answer:
[tex]\large \boxed{87.5 \, \%}[/tex]
Step-by-step explanation:
Let x = the original number of books
Then 0.375x = the total number of biographies
and 0.20 x = the original number of biographies
[tex]\text{Percent increase} = \dfrac{\text{ New number - Old number }}{\text{Old number }} \times 100\, \%\\\\= \dfrac{0.375x - 0.20x}{0.20x} \times 100\, \% = \dfrac{0.175x}{0.20x} \times 100\, \% = 0.875 \times 100\, \% = \mathbf{87.5 \, \%}\\\\\text{The number of biographies has increased by $\large \boxed{\mathbf{87.5 \, \%}}$}[/tex]
Which expression is equivalent to 10 to the 4 power? A.) 10 times 10 times 10 times 10 B.) 40 C.) 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 D.) 4,444,444,444
Answer:
A
Step-by-step explanation:
Here in this question, we want to select which of the options particularly represents what was given in the question.
Mathematically 10^4 means that we are raising 10 into a continued exponential raising up to 4 times.
So 10^4 is pronounced as the first option in the question.
10 raised to power 10 , raised to power 10 etc
Hi could somebody help me
Assuming both vertical lines are parallel and assuming I'm supposed to find all the unmarked angles...
Angle C:
Supplementary Angles.
x+36=180
180-36=x
x=144
Angle B:
Corresponding Angles.
Angle B ≅ Angle C
144
Angle A:
360 degrees in a quadrilateral
36+144+81+x=360
261+x=360
x = 99
Hope it helps <3
The Department of Education would like to test the hypothesis that the average debt load of graduating students with a bachelor's degree is equal to $17,600. A random sample of 28 students had an average debt load of $18,800. It is believed that the population standard deviation for student debt load is $4800. The α is set to 0.05. The confidence interval for this hypothesis test would be ________.
Answer:
A 95% confidence interval for the population average debt load of graduating students with a bachelor's degree is [$17,022.05, $20,577.94].
Step-by-step explanation:
We are given that a random sample of 28 students had an average debt load of $18,800. It is believed that the population standard deviation for student debt load is $4800. The α is set to 0.05.
Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample average debt load = $18,800
[tex]\sigma[/tex] = population standard deviation = $4,800
n = sample of students = 28
[tex]\mu[/tex] = population average debt load
Here for constructing a 95% confidence interval we have used a One-sample z-test statistics because we know about population standard deviation.
So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;
P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 5% level of
significance are -1.96 & 1.96}
P(-1.96 < [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < 1.96) = 0.95
P( [tex]-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.95
P( [tex]\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.95
95% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] , [tex]\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ]
= [ [tex]\$18,800-1.96 \times {\frac{\$4,800}{\sqrt{28} } }[/tex] , [tex]\$18,800+1.96 \times {\frac{\$4,800}{\sqrt{28} } }[/tex] ]
= [$17,022.05, $20,577.94]
Therefore, a 95% confidence interval for the population average debt load of graduating students with a bachelor's degree is [$17,022.05, $20,577.94].
☆*☆=3x, if x is even and negative OR ☆*☆=4x, if x is odd. Following the rule above, what is the value of ☆ - 23 ☆?
A. 92
B. -92
C. 529
D. -529
Answer:
okay... Thanks have a great day!
11. How many kilometers is it from the main gate to Manatee Springs? (Hint: To convert from
yards to kilometers, multiply by 0.0009144). Round answer to the nearest hundredth kilometer.
Manatee Springs
Elephant
House
3,500 yds
4,200 yds
Train Depot
2,000 yds
Bird Sanctuary
Main Gate
(SHOW WORK)
Answer:
6 km
Step-by-step explanation:
Let us assume the following items
the Point at Train depot = T
The Point at Main gate = M
The Point at Bird sanctuary = B
The Point at Elephant house = E
The Point at manatee Springs = S
As we can see that there are two triangles namely TMB and TSE.
Mentioned that
MTB = ∠STE
∠TMB = ∠TSE
∠TBM = ∠TES.
According to the Angle-angle-angle (AAA similarity)
So, the triangles TMB and TSE are the same.
[tex]\frac{TM}{TS} = \frac{TB}{TE} \\\\ \frac{TM}{4,200} = \frac{2,000}{3,500}[/tex]
So, the TM is 2400 yds
Now the Distance between Main gate M and manatee Spring S is
MS = MT + TS
= 2,400 + 4200
= 6600 yds
Now the MS is
= 6600 × 0.0009144 km
= 6.035 km
≅ 6 km
On the coordinate plane below, Point P is located at (2,-3), and point Q is located at (-4,4).
Find the distance between points P and Q Round your answer to the nearest whole number.
Answer:
9
Step-by-step explanation:
We can use the distance formula
d = sqrt ( ( y2-y1)^2 + ( x2-x1) ^2)
d = sqrt ( ( 4- -3)^2 + ( -4 -2) ^2)
= sqrt ( ( 7^2 + ( -6)^2)
= sqrt( 49+ 36)
= sqrt(85)
9.219544457
Rounding to the nearest whole number
= 9
Adding Rational Numbers Using Properties of Operations we can
add integers in any order using the
and
properties of addition.
Consider the integers a, b, c, and -d. We can add this group of
integers in several different ways:
a + (-b) + C+ (-0)
a+c+ (-6) + (-d)
(a + c) + [(-b) + (-d)]
The sum of the integers remains the
regardless of
their arrangement. We can use the commutative and associative
properties to break up numbers by
to find the sum of two or more rational numbers.
Answer:
First blank: Commutative
Second blank: Associative
Third blank: Same
Fourth blank and fifth blank: Rearranging them? (Not entirely sure)
Hope this helps :)
An oblique prism has trapezoidal bases and a vertical height of 10 units. An oblique trapezoidal prism is shown. The trapezoid has base lengths of x and 2 x, and a height of x. The distance between the 2 trapezoid bases is 20. The vertical height of the prism is 10. Which expression represents the volume of the prism? 10x3 cubic units 15x2 cubic units 20x3 cubic units 30x2 cubic units
Answer:
volume of trapezoidal prism = 15x^2 cubic units
Step-by-step explanation:
First, area of the trapezoidal bases.
Parallel sides measure x and 2x, for an average of 1.5x.
Height = x
Area of trapezoidal base = 1.5x*x = 1.5x^2
Volume of prism = area base * height
(length does not matter, height does)
= 1.5x^2 * 10 = 15x^2
The volume of the prism is 15x² cubic units if the oblique prism has trapezoidal bases and a vertical height of 10 units option (B) 15x² cubic units is correct.
What is a trapezoid?It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
An oblique prism has trapezoidal bases and a vertical height of 10 units.
As we know, the area of the trapezoidal bases:
From the figure:
Height = x
Area of trapezoidal base = (1.5x)(x) = 1.5x²
The volume of prism = area base×height
= 1.5x²×10 = 15x² cubic units
Thus, the volume of the prism is 15x² cubic units if the oblique prism has trapezoidal bases and a vertical height of 10 units option (B) 15x² cubic units is correct.
Learn more about the trapezoid here:
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