Answer: D: x = (-9, 0) U (0, 4) U (4, 8)
Step-by-step explanation:
Line 1: y = -2 where -9 < x < 0
Line 2: y = 2)x + 1 where 0 < x < 4
Line 3: y = -(1/2)x + 6 where 4 < x < 8
Domain represents the x-values. Since all of them are open dots, the intervals are strictly less than (<).
-9 < x < 0 and 0 < x < 4 and 4 < x < 8 is the union of these intervals
-9 < x < 0 U 0 < x < 4 U 4 < x < 8
Interval Notation: D: x = (-9, 0) U (0, 4) U (4, 8)
Answer:
1st piece:
✔ –10 < x < 0
2nd piece:
✔ 0 < x < 4
3rd piece:
✔ 4 < x < 8
Step-by-step explanation:
What is the sum of the three solutions (find the values for x, y, and z, then add the answers)? 2x + 3y − z = 5 x − 3y + 2z = −6 3x + y − 4z = −8 Show All Work !!
Answer:
x + y + z = 4
Step-by-step explanation:
Give equations are,
2x + 3y - z = 5 --------(1)
x - 3y + 2z = -6 --------(2)
3x + y - 4z = -8 --------(3)
By adding equations (1) and (2),
(2x + 3y - z) + (x - 3y + 2z) = 5 - 6
3x + z = -1 -------(4)
By multiplying equation (3) by 3, then by adding to equation (2)
(9x + 3y - 12z) + (x - 3y + 2z) = -24 - 6
10x - 10z = -30
x - z = -3 --------- (5)
By adding equation (4) and (5),
(3x + z) + (x - z) = -1 - 3
4x = -4
x = -1
From equation (5),
-1 - z = -3
z = 2
From equation (1),
2(-1) + 3y - 2 = 5
-2 + 3y - 2 = 5
3y = 5 + 4
y = 3
Therefore, x + y + z = -1 + 3 + 2
x + y + z = 4
Please help me in finding the answer. Find x. (Congruent triangles)
Answer:
6.71cm
Step-by-step explanation:
a²+b²=c²
6²+3²=x²
sqrt(6²+3²)=6.71
Answer:
[tex]\Large \boxed{\sf 6.71 \ cm}[/tex]
Step-by-step explanation:
The triangle is a right triangle. We can use Pythagorean theorem to solve for the hypotenuse.
a² + b² = c²
a and b are the lengths of the legs. c is the length of the hypotenuse.
6² + 3² = x²
Evaluate.
36 + 9 = x²
45 = x²
Take the square root of both sides.
√(45) = √(x²)
6.7082039325... = x
For a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears. Minitab was used to find that the value of the linear correlation coefficient is r=0.989. Using alph=0.05, determine if there is a linear correlation between chest size and weight. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Correlation Coefficient (r) = 0.989
alph=0.05
Number of observations (n) = 8
determine if there is a linear correlation between chest size and weight.
Yes, there exists a linear relationship between chest size and weight as the value of the correlation Coefficient exceeds the critical value.
What proportion of the variation in weight can be explained by the linear relationship between weight and chest size?
To determine the the proportion of variation in weight that can be explained by the linear regression line between weight and chest size, we need to obtain the Coefficient of determination(r^2) of the model.
r^2 = square of the correlation Coefficient
r^2 = 0.989^2 = 0.978121
Hence, about 0.978 (97.8%) of the variation in weight can be explained by the linear relationship between weight and chest size.
7(x+1)=21 solve for x
Find the sum of 29,the product of 2 and 9 and the difference between 2 and 9
Step-by-step explanation:
Sum means adding of numbers
Product means multiplying the numbers
Difference means minus two numbers
First number is 2 and other number is 9.
Sum of 2 and 9 = 2+9 = 11
Product of 2 and 9 = 2×9 = 18
Difference between 2 and 9 = 9-2 = 7
Hence, this is the required solution.
Find the coordinates for the function,
1.) f(x)=-2(2.5)
2.) f(x)= 4(1.5)
Answer: 1: Slope 0 Y- Intercept -5
2: Slope 0 Y- Intercept 6
Step-by-step explanation:
A rectangular sheet of steel is being cut so that the length is four times the width the perimeter of the sheet must be less than 100 inches . Which inequality can be used to find all possible lengths,l.of the steel sheet
Answer:
w>10
length = 40
Step-by-step explanation:
Let
Width=w
Length=4w
Perimeter is less than 100 inches
Perimeter of a rectangle= 2( Length + width)
100 < 2(4w+w)
100 < 8w+2w
100 < 10w
w > 10
Length =4w
=4 × 10
=40 inches
Answer:
5/2l <100
Step-by-step explanation:
PLATO
Number of minutes 1 2 3 4 5 6 7 8 9 10
Number of trainees 2 3 5 10 15 30 25 15 10 5
1.) use the data to draw a bar chart
Answer: please find the attached file for the graph.
Step-by-step explanation:
Number of minutes 1 2 3 4 5 6 7 8 9 10Number of trainees 2 3 5 10 15 30 25 15 10 5
Given that data set above, the time in minutes will be on the x axis while the number of trainees will be in the y axis.
In bar chart, the bars will not touch each other.
Please find the attached file for the solution and figure
What is the rate of change of the function? On a coordinate plane, a line with negative slope goes through points (0, 1) and (1, negative 1). –2 Negative one-half One-half 2 Mark this and return
Answer:
-2
Step-by-step explanation:
slope: (y² - y¹) / (x² - x¹)
(-1 - 1) / (1 - 0) = -2 / 1 = -2
y = -2x + b
plug in an (x, y) value to find b
1 = -2(0) + b
1 = -2 + b
b = 3
y = -2x + 3
rate of change is -2
Answer:
-2
Step-by-step explanation:
BRAINLIEST, 5 STARS AND THANKS IF ANSWERED BOTH CORRECTLY. 1. What is the 8th term of the following geometric sequence? -8, 24, -72, 216.. A. 52, 488 B. 5,832 C. 17,496 D. -17,496 ---------- 2. What is the 6th term of the following geometric sequence? 2, -14, 98, -686... A. 33,614 B. -33,614 C. 235,298 D. -235,298
Answer:
C; B
Step-by-step explanation:
The direct/explicit formula for a geometric sequence is the following:
[tex]a_n=a(r)^{n-1}[/tex]
Where aₙ represents the term n, a represents the initial value, and r represents the common ratio.
Therefore, to find the nth term, we just need to find the initial value and the common ratio.
1)
-8, 24, -72, 216...
The common ratio is the ratio between each consecutive term. Do two to confirm that they are indeed the same. Thus:
[tex]r=24/-8=-3\\r=-72/24\stackrel{\checkmark}{=}-3[/tex]
So, the common ratio is -3. And the initial value is -8. Thus, putting them into our equation:
[tex]a_n=-8(-3)^{n-1}[/tex]
Thus, the eighth term will be:
[tex]a_8=-8(-3)^{8-1}\\a_8=-8(-3)^7\\a_8=17496[/tex]
C
2)
Again, find the common ratio.
2, -14, 98, -686...
[tex]-14/2=-7\\98/-14\stackrel{\checkmark}{=}-7[/tex]
The common ratio is -7. The initial value is 2. Thus:
[tex]a_n=2(-7)^{n-1}[/tex]
And the sixth term will be:
[tex]a_6=2(-7)^{6-1}\\a_6=2(-7)^5\\a_6=-33614[/tex]
B
40 POINTS!! AND BRAINLIEST!! The equation of the line is Y=2.x- 1.8. Based on the graph which of the following are true?
(select all that apply)
A. If tony stays for 30 minutes in the record store it is likely her will spend $70
B. Each additional minute tony spends in the store is associated with an additional cost of $2.40
C. The correlation coefficient for the line of best fits 2.4
D. The line of best fit will have a positive correlation coefficient.
Answer:
The correct statment is B.
Step-by-step explanation:
A. is not correct: y = 2.4(30) - 1.8 does not equal 70...
B. Is correct because the slope is 2.4 From the equation
C. is not correct because the points have no 2.4 (maybe 2.2)? difference.
D. is not correct. the correlation isn't positive.
( 2x - 9) x ( x + 5 )
[tex]2x \times x + 2x \times 5 - 9 \times x - 9 \times 5[/tex]
[tex] {2x }^{2} + 10x - 9x - 45 [/tex]
[tex] {2x}^{2} + x - 45 [/tex]
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\boxed{x=14}[/tex]
Reorder the terms:
[tex]-9 + 2x = 5 + x[/tex]
Solving
[tex]-9 + 2x = 5 + x[/tex]
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
[tex]-9 + 2x + -1x = 5 + x + -1x[/tex]
Combine like terms: [tex]2x + -1x = 1x[/tex]
[tex]-9 + 1x = 5 + x + -1x[/tex]
Combine like terms: [tex]x + -1x = 0[/tex]
[tex]-9 + 1x = 5 + 0\\-9 + 1x = 5[/tex]
Add '9' to each side of the equation.
[tex]-9 + 9 + 1x = 5 + 9[/tex]
Combine like terms: [tex]-9 + 9 = 0[/tex]
[tex]0 + 1x = 5 + 9\\1x = 5 + 9[/tex]
Combine like terms: [tex]5 + 9 = 14[/tex]
[tex]1x = 14[/tex]
Divide each side by '[tex]1[/tex]'.
[tex]x = 14[/tex]
Simplifying
[tex]x = 14[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
What will be the effect on the graph of y = |x| if x is replaced with -x?
A. a vertical shift
B. no change
C. a reflection over the x-axis
D. a horizontal shift of 1 unit to the left
The vertical lines on each side of the x mean it is the absolute value of x.
Replacing x with -x would make no change on the graph, because the absolute value is always a positive number.
The answer is B.
There will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The vertical lines on each side of the x mean it is the absolute value of x. Replacing x with -x would make no change on the graph because the absolute value is always a positive number.
Therefore, there will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.
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Which graph represents a function?
Answer:
The first one is the only function
Step-by-step explanation:
You cannot have points on the same y gridline
If it is a function is has to pass the pencil test
Answer:
[tex]\boxed{Graph A.}[/tex]
Step-by-step explanation:
Hey there!
Well graph A is correct because if you do the vertical line test which decides is the graph is a function or not you can see that all the graph expect A have the vertical line go through 2 points.
Hope this helps :)
Which statement describes the graph of x = 4
Answer:
The graph of x=4 is a vertical line parallel to y-axis and having a x-intecept:(4,0) and having no y-intercept
Step-by-step explanation:
So I think that the answer would be this, which means answer 1!! Hope this helps
the base of a rectangle is three times as long as the height. of the perimeter is 64, what is the area of the rectangle
Answer: 192
Step-by-step explanation:
Use algebra
x + 3x + x + 3x = 64 (perimeter)
Combine Like Terms
8x = 64
x = 8
8 + 24 + 8 + 24 = 64
24/8 = 3
Luis, Diego, and Cecil are going fishing.
Luis brings 4 cans of worms. Diego brings
3 cans of worms plus 2 extra worms. Cecil
brings 2 cans of worms. If they have a
total of 65 worms and each can contains
the same number of worms, how
many worms are in each can?
Answer:
7
Step-by-step explanation:
If we call the number of worms in a can x, we can write:
4x + 3x + 2 + 2x = 65
9x + 2 = 65
9x = 63
x = 7 worms
A function of random variables used to estimate a parameter of a distribution is a/an _____.
A. unbiased estimator
B. statistic
C. predictor
D. sample value
Answer:
A. unbiased estimator.
Step-by-step explanation:
In Statistics, an estimator is a statistical value which is used to estimate a parameter. Parameters are the determinants of the probability distribution. Therefore, to determine a normal distribution we would use the parameters, mean and variance of the population.
A function of random variables used to estimate a parameter of a distribution is an unbiased estimator.
An unbiased estimator is one in which the difference between the estimator and the population parameter grows smaller as the sample size grows larger. This simply means that, an unbiased estimator captures the true population value of the parameter on average, this is because the mean of its sampling distribution is the truth.
Also, we know that the bias of an estimator (b) that estimates a parameter (p) is given by; [tex]E(b) - p[/tex]
Hence, an unbiased estimator is an estimator that has an expected value that is equal to the parameter i.e the value of its bias is equal to zero (0).
Generally, in statistical analysis, sample mean is an unbiased estimator of the population mean while the sample variance is an unbiased estimator of the population variance.
Answer: B statistic
Step-by-step explanation:
it just is trust me
write an equation of the perpendicular bisector of the segment joining a(-2,3) and b(4,-5).
A) 3x+4y=7 B) 3x-4y=-7 C) 3x-4y=7 D) -3x-4y=7 E) 4x-3y=7
Answer:
C) 3x - 4y = 7
Step-by-step explanation:
The midpoint of AB is
M( (-2 + 4)/2, (-5 + 3)/2 ) = M(1, -1)
Line AB has slope:
(3 - (-5))/(-2 - 4) = 8/(-6) = -4/3
Slopes of perpendicular lines are negative reciprocals.
A perpendicular to line AB has slope 3/4.
The perpendicular to line AB that passes through the midpoint of segment AB is the line we want.
[tex] y - y_1 = m(x - x_1) [/tex]
[tex] y - (-1) = \dfrac{3}{4}(x - 1) [/tex]
[tex] y + 1 = \dfrac{3}{4}(x - 1) [/tex]
[tex] 4y + 4 = 3(x - 1) [/tex]
[tex]4y + 4 = 3x - 3[/tex]
[tex]3x - 4y = 7[/tex]
Answer:
C
Step-by-step explanation:
Segment joining a and b
m = 8/(-6) =-4/3
For that of the perpendicular bisector...
m = 3/4
Midpoint of Segment joining a and b
([-2+4]/2 , [3-5]/2)
=(1, -1)
y=mx+c
-1=(3/4)(1)+c
c= -7/4
y=3x/4 - 7/4
4y=3x - 7
3x-4y = 7
15 points! I will give Brainliest and heart! Answer ASAP but with DETAIL, I need step - by - step, clear words, correct grammar. A pair of equations is shown below: y = 3x − 5 y = 6x − 8 Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points) Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points)
Hey there! I'm happy to help!
PART A
Let's look at our two equations.
y=3x-5
y=6x-8
We will solve this with substitution because we have two different values for y, so it will be be very easy to substitute.
We know that y is equal to 6x-8. This means that we can replace the y in the first equation with 6x-8 and then solve for x.
6x-8=3x-5
We add 8 to both sides.
6x=3x+3
We subtract 3x from both sides.
3x=3
We divide both sides by 3.
x=1
We can plug this x-value into either of our equations to figure out what y is.
y=6(1)-8
y=6-8
y=-2
Therefore, our solution is x=1 and y= -2.
PART B
When graphing the two equations in a systems of equation, the point where they intersect is the solution. We already have our solution, so now we will just write it as a point, which is (1,-2).
Have a wonderful day! :D
Answer:
see below
Step-by-step explanation:
y = 3x − 5
y = 6x − 8
I will use substitution by substituting for y in the first equation
y = 3x − 5
6x -8 = 3x-5
Subtract 3x from each side
6x-3x -8 = 3x-5-3x
3x-8 = -5
Add 8 to each side
3x-8+8 = -5+8
3x =3
Divide by 3
3x/3= 3/3
x =1
Now find y
y = 3x − 5
= 3(1) -5
=3-5
= -2
( 1,-2)
The two lines will intersect at ( 1,-2)
The solution to the two equations is where the lines intersect.
Piper deposited $734.62 in a savings account that earns 2.6% simple interest. What is Piper's account balance after seven years?
Answer:
Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars
Step-by-step explanation:
first see te interest :
A=prt (p is the deposited amount, r is the rate , t is the time)
A=734.62 *(2.6/100)* 7
A=133.70084
Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars
Answer:
$868.32
Step-by-step explanation:
First you need to multiply 734.62 by 2.6%.
734.62 x 0.026 = 19.1
Then we need to multiply that by 7 (because 7 years).
19.1 x 7 = 133.7
Then add that to the initial deposit.
734.62 + 133.7 = 868.32
So after 7 years in a savings account your $734.62 would become $868.32.
The following equation has how many solutions? \left|x-1\right|=7 ∣x−1∣=7
Answer:
Two solutions.
[tex]x = 8, -6[/tex]
Step-by-step explanation:
Given the equation:
[tex]\left|x-1\right|=7[/tex]
To find:
Number of solutions to the equation.
Solution:
First of all, let us learn about modulus function.
[tex]|x|=\left \{ {{x\ if\ x>0} \atop {-x\ if\ x<0}} \right.[/tex]
i.e. Modulus function changes to positive by adding a negative sign to the negative values.
It has a value equal to [tex]x[/tex] when [tex]x[/tex] is positive.
It has a value equal to -[tex]x[/tex] when [tex]x[/tex] is negative.
Here, the function is:
[tex]|x-1|=7[/tex]
So, two values are possible for the modulus function:
[tex]\pm(x-1)=7[/tex]
Solving one by one:
[tex]x-1 = 7\\\Rightarrow x =8[/tex]
[tex]-(x-1) = 7\\\Rightarrow -x+1=7\\\Rightarrow x = -6[/tex]
So, there are two solutions, [tex]x = 8, -6[/tex]
Quadratic and Ratios...
Answer:
x=0
Step-by-step explanation:
in the quadratic formula to only have one solution
[tex]b^{2} -4ac=0[/tex] for [tex]ax^2+bx+c=0[/tex]
so we have
[tex]ax^2+b=c[/tex]
[tex]ax^2+(b-c)=0[/tex]
if we insert in the formula we have
[tex]0^2-4(a)(b-c)=0\\\\-4ab+4ac=0\\\\4ac=4ab\\\\\frac{4ac}{4a} = \frac{4ab}{4a}\\\\c=b[/tex]
[tex]ax^2+b=c\\\\ax^2=b-b\\\\ax^2=0[/tex] since a≠0
[tex]\frac{ax^2}{a}=\frac{0}{a} \\\\x^2=0\\\\x=0[/tex]
rewrite (y x 6) x 5 using the associative property.
Answer:
y * ( 6*5)
Step-by-step explanation:
(y x 6) x 5
We can change the order of multiplication by changing where the parentheses are placed using the associative property
y * ( 6*5)
Answer:
The answer will be Y*(6*5)
Step-by-step explanation:
this is the answer because while doing the associative property you switch the parenthesis to the different numbers or the other side in this case were 6 and 5
20 POINTS! ***CORRECT*** ANSWER GETS BRAINLIEST!!!!
The fraction model below shows the steps that a student performed to find a quotient.
Which statement best interprets the quotient?
A. There are 5 1/6 three-fourths in 4 1/8
B. There are 5 1/6 three and one-eights in 3/4
C. There are 5 1/2 three and one-eights in 3/4
D. There are 5 1/2 three-fourths in 4 1/8
Answer:
The answer is A pls mark me brainly
Gavin is selling water bottles at a baseball game to help raise money for new uniforms.
Before the game, he buys 48 water bottles for a total of $18.50. At the game, he sells all of
the bottles for $1.25 each. How much profit does Gavin make?
The profit made by Gavin at the end of the game is $0.87 per bottle.
How to calculate profit?The profit can be calculated by taking the difference of selling price and the cost price.
Given that,
The number of bottles bought for $18.50 is 48 and sold for $1.25 each.
Then, the cost for one bottle is 18.50/48 = $0.38.
As per the question the profit made can be calculated as the difference of selling price and cost price as,
Profit = Selling price - Cost Price
= 1.25 - 0.38
= $0.87
Hence, the profit earned by Gavin is given as $0.87 for each bottle.
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If a 15% discount is applied to a 15,000,000 car, what will its price be.
Answer:
$12,750,000
Step-by-step explanation:
15,000,000 x 0.15 = 2,250,000
15,000,000 - 2,250,000 = 12,750,000
Answer:
12750000Step-by-step explanation:
[tex]15\% \: discount \:on \: 15,000,000\\\\= \frac{15}{100} \times 15,000,000\\\\\\= \frac{225000000}{100}\\ \\= 2250000\\\\15 000 000 - 225 0000= 12750000[/tex]
A, B, C, D, E, F, ... 2, 3, 5, 7, 11, 13, ... what number is the letter Z replaced with?
Answer:
Z=101
Step-by-step explanation:
A=2
B=3
C=5
D=7
E=11
F=13
From the above illustration, it can be deduced that A to Z represent prime numbers in ascending order.
Prime numbers are natural numbers that are greater than 1 and are only divisible by 1 and itself.
Therefore,
G=17
H=19
I=23
J=29
K=31
L=37
M=41
N=43
O=47
P=53
Q=59
R=61
S=67
T=71
U=73
V=79
W=83
X=89
Y=97
Z=101
how do you find the area of an open cylinder... what is the Formula?? please help
Answer:
Cylinder has a formula
π×r²×h
so of it is open
π×r²×h - π×r²
Answer:
pls give brainiest
Step-by-step explanation:
A=2πr×h(r+h)
Which statement is true about the solutions to x^2 - 1 = 24
A. There are two distinct irrational solutions.
B. There are two distinct rational solutions
C. There is only one rational solution
D. There is only one irrational solution
Answer:
B. There are two distinct rational solutions
Step-by-step explanation:
x^2 -1 = 24
Add 1 to each side
x^2 -1+1 = 24+1
x^2 = 25
Take the square root of each side
sqrt(x^2) = ±sqrt(25)
x = ±5
Answer:
B.
Step-by-step explanation:
x^2 - 1 = 24
x^2 = 25
Taking the square root of both sides:
x = -5, 5.
2 distinct rational solutions.
