Answers
y < 2
can't be y <= 2 or y<=1 because the dot is open meaning the point is not included.
the range is talking about the y value, the point is at y = 2. The graph is also negative; therefore, range will be anything less than y = 2
Related Questions
whats the equation for X 3?
Answers
we need to verify for each equation if x=3 is a solution. If we replace x by 3 in the first equation we get
[tex]\begin{gathered} 9\cdot3-7=20 \\ 27-7=20 \\ 20=20 \end{gathered}[/tex]so the answer is letter A
does anyone know how to solve this questions im confused. Thank you so much is you help!
Answers
[tex]g(f(\text{x})) = -3\text{x}^2+3[/tex]
[tex]g(f(2)) = -9[/tex]
=======================================================
Explanation:
Let's compute g(f(x))
We do this by starting with the outer function g(x). Then replace every x with f(x). Then plug in the definition of f(x) as shown below.
[tex]g(\text{x}) = \text{x}-1\\\\g(f(\text{x})) = f(\text{x})-1\\\\g(f(\text{x})) = 4-3\text{x}^2-1\\\\g(f(\text{x})) = -3\text{x}^2+3\\\\[/tex]
At this point, we then plug in x = 2 so we can find that...
[tex]g(f(\text{x})) = -3\text{x}^2+3\\\\g(f(2)) = -3(2)^2+3\\\\g(f(2)) = -3(4)+3\\\\g(f(2)) = -12+3\\\\g(f(2)) = -9\\\\[/tex]
11. Find all missing angles
Answers
The angle ∠1=62° ,∠2=71° ,∠3=109° ,∠4=35° ,∠5=109° ,∠6=29° ,∠7=47° and ∠8=62° for the given quadrilateral by using different laws for angle and lines.
What is quadrilateral?A polygon with four sides, four angles, and four vertices is called a quadrilateral. The Latin words quadri, which means four, and latus, which means side, were combined to create the English word quadrilateral.
What is polygon?A polygon is a two-dimensional, closed shape that is flat or plane and is bounded by straight sides. Its sides are not curved. A polygon's edges are another name for its sides. The vertices (or corners) of a polygon are the places where two sides converge.
∠1=62° by parallel line properties.
∠2=71° by alternate angles.
∠3=109° by alternate angles
∠4=35° by triangle properties
∠5=109° by alternate angles
∠6=29° by triangle properties
∠7=47° by parallel line properties.
∠8=62° by parallel line properties.
for the given quadrilateral by using different laws for angle and lines, The angles are ∠1=62° ,∠2=71° ,∠3=109° ,∠4=35° ,∠5=109° ,∠6=29° ,∠7=47° and ∠8=62°.
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1+1+1-1-5-5r-3-3--2-6--4
Answers
Step-by-step explanation:
1 + 1 + 1 - 1 - 5 - 5r - 3 - 3 --2 - 6 --4
3 - 1 - 5 - 5r - 3 - 3 -- 2 - 6 -- 4
2 - 5 - 5r - 3 - 3 -- 2 - 6 -- 4
-3 - 5r - 3 - 3 -- 2 - 6 -- 4
-5r - 6 - 3 + 2 - 6 + 4
-5r - 9 + 2 - 6 + 4
-5r - 7 - 6 + 4
-5r -13 + 4
-5r - 9
This is the furthest it can be reduced to if you're not trying to find the value of r.
Hope this helps! :)
10% of the 70 students in the school orchestra are performing a solo at the spring concert. How many students are performing a solo?
Answers
Answer:
7 soloists
Step-by-step explanation:
10% is .1 in decimal form
70 x 0.1 = 7 soloists
Answer:
Step-by-step explanation:
8. Give the slope of y + 2 = 3(x-7) and a point on the line.
a. The slope is 3 and (-7, 2) is on the line.
b. The slope is 3 and (7, -2) is on the line.
c. The slope is 2 and (7, 3) is on the line.
d. The slope is 7 and (3, 2) is on the line.
9. What is the point-slope equation of the line containing the points (3, 3) and
(6,5)?
a. y - 3=(x-3)
b. y 3 = (x + 3)
c. y + 3 =(x-3)
d. y + 3 = 3(x - 2)
10. The slope of a given line is 3. The line that is parallel to it has a slope of:
a. -3
b. ½
C. -1
d. 3
11. The slope of a given line is 4. The line that is perpendicular to it has a slope of:
a. -4
b. -
C. 4
Answers
Answer: b c
Step-by-step explanation:
2
4x + 1
4
3
6
5
2x + 41
7
What is the value of x?
V
Answers
Answer:
x = 20
Step-by-step explanation:
4x + 1 and 2x + 41 are alternate exterior angles and are congruent , then
4x + 1 = 2x + 41 ( subtract 2x from both sides )
2x + 1 = 41 ( subtract 1 from both sides )
2x = 40 ( divide both sides by 2 )
x = 20
Ava is trying to add together 3/5 and 2/9
Her first step is to rewrite the fractions using their lowest common denominator.
What denominator should she use?
Answers
Explanation:
The LCM of 5 and 9 is 5*9 = 45
This is the LCD of the two fractions.
3/5 = 27/45 after multiplying top and bottom by 92/9 = 10/45 after multiplying top and bottom by 5So,
3/5 + 2/9 = 27/45 + 10/45 = 37/45
(root 10 - root 2 )^2
Answers
not that bad
goodluck tho :)
can someone pls help? thx i appreciate it :)
Answers
The scale factor from the ΔABC to ΔDEF is 3/2 cm.
Given that, in triangle ABC, side AB measures 12 cm and is the longest side and in triangle DEF, side DE measures 8 cm and is the longest side.
What is the scale factor?To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilized.
The fundamental equation to determine a figure's scale factor is written as, Scale factor is equal to the difference between the dimensions of the new and old shapes.
The scale factor from the triangle ABC to triangle DEF is 12/8 = 3/2 cm
The scale factor from the triangle DEF to triangle ABC is 8/12 = 2/3 cm
Therefore, the scale factor from the ΔABC to ΔDEF is 3/2 cm.
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Which of the following numbers are perfect squares?
Select all that apply.
A 27
B 36
C 108
D 121
Answers
Answer:
B 36
Step-by-step explanation:
36 = 6×6 = 6^2
6^2 is a perfect square
6x6 = 6^6
That should help
suppose the time to process a loan application follows a uniform distribution over the range 8 to 17 days. what is the probability that a randomly sel
Answers
Answer:
0.2
Step-by-step explanation:
The figure shows rectangle RSTW. Which of the following conditions satisfies the criteria for rectangles?
a. m∠SRZ = 40°
b. m∠STZ = 40°
c. m∠SRW = 80°
c. m∠TWR = 80°
Answers
For the given rectangle RSTW, the condition satisfies the criteria of rectangles is equal to m ∠SRZ = 40°.
As given in the question,
In the given figure of rectangle RSTW,
Conditions satisfies the criteria of the rectangles are as follow:
a. m ∠SRZ = 40°
Line segment SR is parallel to TW. TR is the transversal.
m ∠SRT = m ∠WTR ( Alternate interior angles)
T -Z - R
m ∠SRZ = m ∠WTZ = 40°
Given criteria is satisfies the criteria of rectangles.
b. m ∠STZ = 40°
All the interior angles of rectangle are of measure 90°
m ∠STW = 90°
m ∠WTZ = 40° (given)
m ∠STZ + m ∠WTZ = 90°
⇒ m ∠STZ = 50°
Given option does not satisfies the criteria of rectangles.
c. m ∠SRW = 80°
All the interior angles of rectangle are of measure 90°
Given option does not satisfies the criteria of rectangles.
d. m ∠TWR = 80°
All the interior angles of rectangle are of measure 90°
Given option does not satisfies the criteria of rectangles.
Therefore, for the given rectangle RSTW, the condition satisfies the criteria of rectangles is equal to m ∠SRZ = 40°.
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Rectangle 1 has an area on 60.81 square centimeters. Rectangle 2 has an area of 61.44 square centimeters. Rectangle 3 has an area of 35.52 square centimeters. Rectangle 4 has an area of 47.88 square centimeters. Part A “which two rectangles have the greatest difference in area?” Part B “Look at your answer to part A. What is the difference between those two rectangles areas?”
Answers
The most appropriate choice for area of rectangle will be given by-
Difference between area of rectangle 2 and area of rectangle 3 is the largest.
Difference is 25.92 [tex]cm^2[/tex]
What is area of rectangle?
Area of rectangle is the total space taken by the rectangle.
If l is the length of the rectangle and b is the breadth of the rectangle, then area of rectangle is given by
Area of rectangle = [tex]l \times b[/tex]
Here,
Area of rectangle 1 = 60.81 [tex]cm^2[/tex]
Area of rectangle 2 = 61.44 [tex]cm^2[/tex]
Area of rectangle 3 = 35.52 [tex]cm^2[/tex]
Area of rectangle 4 = 47.88 [tex]cm^2[/tex]
Difference between Area of rectangle 1 and rectangle 2 =
(61.44 - 60.81)[tex]cm^2[/tex]
= 0.63 [tex]cm^2[/tex]
Difference between Area of rectangle 1 and rectangle 3 =
(60.81 - 35.52)[tex]cm^2[/tex]
= 25.29 [tex]cm^2[/tex]
Difference between Area of rectangle 1 and rectangle 4 =
(60.81 - 47.88)[tex]cm^2[/tex]
= 12.93 [tex]cm^2[/tex]
Difference between Area of rectangle 2 and rectangle 3 =
(61.44 - 35.52)[tex]cm^2[/tex]
= 25.92 [tex]cm^2[/tex]
Difference between Area of rectangle 2 and rectangle 4 =
(61.44 - 47.88) [tex]cm^2[/tex]
= 13.56 [tex]cm^2[/tex]
Difference between Area of rectangle 3 and rectangle 4 =
(47.88 - 35.52) [tex]cm^2[/tex]
= 12.36 [tex]cm^2[/tex]
Difference between area of rectangle 2 and area of rectangle 3 is the largest.
Difference is 25.92 [tex]cm^2[/tex]
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Sandra saves 9% of her salary for retirement. this year her salary was $3,000 more than in the previous year, and she saved $4,050. what was her salary in the previous year?
Answers
Answer:
She earned $42,000 in the previous year
Step-by-step explanation:
9% can be rewritten as 0.09
0.09x is 4050
divide both sides by 0.09
0.09x becomes x
4050 becomes 45,000
then we subtract 3,000 from 45,000 to find the previous years salary
Write a quadratic equation in the form x^2+bx+c=0
Answers
ax^2 + bx + c = 0
a=1
b=4
c=-8
x^2 + 4x - 8 = 0
(I thought I was wrong but I might be correct lol)
Danae is choosing between two jobs. One job pays an annual bonus of $1,500 plus $120 per day worked. The second job pays an annual bonus of $2,500 plus $110 per day worked. Which equation can be solved to determine after how many days, d, Danae would make the same amount of money regardless of the job she chooses?
a.) 120d + 110d = 1,500 + 2,500
b.) 120 + 110 = 1,500d + 2,500d
c.) 120d + 1,500 = 110d + 2,500
d.) 120d + 2,500 = 110d + 1,500
Answers
The equation that can be solved to determine the number of days when both jobs would have the same cost is 120d + 1,500 = 110d + 2,500.
What is the equation?The equations that would be formed would be linear equations. A linear equation is an equation that has a single variable that is raised to the power of one. A linear equation is a straight line when it is drawn on a graph.
The equation that represents the total bonus of the first job is: fixed pay + total variable pay
1,500 +( $120 x d)
1,500 + 120d
The equation that represents the total bonus of the second job is: fixed pay + total variable pay
$2,500 + ($110 x d)
$2,500 + $110d
When the amount at both jobs are equal, the two above linear functions would be equal
$2,500 + $110d = 1,500 + 120d
Combine similar terms together:
$2,500 - $1,500 = $120d - $110d
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Consider the population of a small town that grows according to the explicit rule: p = 53600 + 145 n, where n is the number of years after 2009. based on this model what is the population in 2022?
Answers
Answer:
p = 55485
Step-by-step explanation:
p = 53600 + 145 n
n = 2022 - 2009 = 13 years
so, p = 53600 + 145(13)
p = 55485
4 is 50% of what number?
Answers
Answer:
8
Step-by-step explanation:
To solve this problem you multiply 4 by 100 and then divide the total by 50 as follows: (4 x 100) / 50
Let 4 be 50% of x ; then 50/100 x = 4
= 0.5x=4
= x = 8
Pls, help me with MATH!!!
Answers
The total amount accrued, principal plus interest, from simple interest on a principal of $1,500.00 at a rate of 3.5% per year for 30 years is $3,075.00. With a principal of £1,500.00 and an interest rate of 3.5% over a 30-year period, Sarah-Jane will save UK £1,575.00. It is undoubtedly a wise investment because the original UK £1,500 doubled.
What is Simple Interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principal, and the number of days between payments are multiplied to calculate simple interest.
What is the formula for Simple interest?A = P(1 + RT)
A=Final Amount
P = Principal
R = Rate of Interest
T = Time period
Here,
A = $3,075.00
I = A - P = $1,575.00
A = P(1 + rt)
First, converting R percent to r a decimal
r = R/100 = 3.5%/100 = 0.035 per year.
Solving our equation:
A = 1500(1 + (0.035 × 30)) = 3075
A = $3,075.00
$3,075.00 is the total amount accrued from simple interest on a principal of $1,500.00 at a rate of 3.5% per year for 30 years (principal plus interest). In a 30-year loan with a £1,500.00 principal and a 3.5% interest rate, Sarah-Jane will save UK £1,575.00. The original UK £1,500 doubled, so it is unquestionably a smart investment.
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Solve the formula Aa + By = C for B.
Answers
A literal equation is one that is mostly made up of letters. Examples of literal equations include formulas.
What is literal equation?A literal equation is one that is mostly made up of letters. Examples of literal equations include formulas. Every variable in the equation "literally" represents a crucial aspect of the overall relationship that the equation expresses. Multiple letters or variables make up a literal equation. Examples include the formula for calculating speed (v=Dt) and the area of a circle (A=r2). In this part, we resolve straightforward one-variable equations.
Alternatively,
Ax +By = C
Any sign that crosses over equal(=) signs always change
In this case, Ax crosses over to C
By = C - Ax
To eliminate y from By, then
By/y = (C - Ax) /y
y cancel out y on the left side
B = (C - Ax) /y
The complete question is,
Solve for B in the literal equation Ax+By=C
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the number of cars produced when x x dollars is spent on labor and y y dollars is spent on capital invested by a manufacturer can be modeled by the equation 45 x 1 3 y 2 3
Answers
The formula in terms of x and y for dy/dx is y/ -2x
The value of dy/dx at the point (1,1) is -0.5
The question is incomplete, the full question is given below:
200 cars can produced when x dollars is spent on labor and y dollars is spent on capital. the equation that relates x and y is 45 x^1/3 y^2/3= 200
a. Find a formula in terms of x and y for dy/dx
b. Find the value of dy/dx at the point (1,1). Round your answer to 4 decimal places
Part a
A formula in terms of x and y for dy/dx
We differentiate equation that relates x and y with respect to x by implicit differentiation:
=d/dx(45 x^1/3 y^2/3) =d/dx( 200)
=> 45 *(1/3) x^-2/3 y^2/3 + 45 x^1/3 2/3 y^ -1/3 dy/dx=0
=> x^-2/3y^2/3+ 2 x^1/3 y^-1/3 dy/dx=0
=> y/x= -2dy/dx
=> log y = -2 log x +log c
=> y= x^ -2 +c
putting x=y=1
c=0
then y= 1/x^2
b) y/x= -2dy/dx
put x=y=1 we get
-1/2 = dy/dx
dy/dx =-0.5
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Which expression is equivalent to 3(−4.5b − 2.1) − (6b + 0.6)?
19.5b + 1.5
−19.5b − 1.5
−19.5b − 6.9
19.5b − 6.9
Answers
The given expression is equivalent to the third option -19.5b - 6.9. We get this on solving the algebraic expression.
The given expression in the question is
3(-4.5b-2.1) - (6b +0.6)
= -13.5b - 6.3 - 6b - 0.6 (multiplying 3 and -1 respectively with the elements in the bracket)
= -19.5b - 6.9
Therefore we can see that on solving the given algebraic expression we get that it is equivalent to -19.5b - 6.9
Hence the third option which is -19.5b -6.9 is the correct answer.
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please solve this with solution thankyou.
Answers
The value of the function operation of each one is represented below.
Function OperationTo solve this problem, we have to perform the operation on each one.
f(x) = 2x + 4g(x) = x^2 + 4x + 4h(x) = x^2 - 41) (fg)(x)
[tex](fg)(x) = 2x^3 + 12x^2 + 24x + 16[/tex]
2) (hg)(x)
[tex](hg)(x) = x^4 + 4x3 -16x -16[/tex]
3)
(fh)(2)
[tex](fh)(2) = 0[/tex]
4) (gh)(x)
[tex](gh)(x) = x^4 + 4x^3 - 16x -16[/tex]
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help me please can you solve this for meh
Answers
Answer: 6w^3-3+18u^2
Step-by-step explanation:
In the diagram, M is the midpoint of AB.
Support the following argument for AM = MB by
writing the reason that validates each statement.
A. Definition of midpoint
B. Definition of congruent segments
C. Given information
We know that M is the midpoint of AB.
This means that AM = MB.
Therefore, AM=~MB.
Answers
Answer:
It goes
1.) C
2.) A
3.) B
Tasha earns $400 per week plus a commission of 10% on her weekly sales. Each week she saves One-fourth of her earnings. In the expression , what does the expression 400 + 0.1s represent in this situation?
Answers
The expression 400 + 0.1s represents her total weekly earnings.
What is an expression?An expression is written in the form of variables and constants separated by the operation of addition and subtraction. There are many types of expressions some of them are algebraic expression, trigonometric expression, logarithmic expressions, and many more.
Given Tasha earns $400 per week plus a commission of 10% on her weekly sales.
She also saves one-fourth of her earnings.
Assuming the amount she makes on sales is s.
∴ The expression that represents her total weekly earnings is,
= 400 + 0.1s.
As 10% in decimal can be written as (10/100) = 0.1.
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Given m∥n, find the value of x. 34°.
Answers
Answer: 34
Step-by-step explanation:
Vertical angles are congruent.
As the sample size becomes larger, the sampling distribution of the sample mean approaches a.
Answers
The sampling distributions reach a normal distribution as sample sizes increase.
What is termed as the normal distribution?The proper term for just a probability bell - shaped curve is the normal distribution.The mean of a normal distribution is zero, and the standard deviation is one. It has a skew of 0 and a kurtosis of 3.Even though all symmetrical distributions are normal, not all normal distributions are symmetrical.Many naturally occurring phenomena resemble the normal distribution.For the given statement in the question-
As sample sizes grow larger, sampling distributions reach a normal distribution.
The mean of the sampling distribution equals the population mean (µ) (with "infinite" numbers of the successive random samples).
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Karyn proofreads 15 pages in 2 hours for $40. What is her proofreading rate in pages per hour? How much does she earn per hour?
Answers
The proofreading rate will be ( 7.5 pages/ hour) and the cost per hour will be $20.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Karyn proofreads 15 pages in 2 hours for $40. The rate will be calculated as:-
Rate of reading = ( 15 / 2 )
Rate of reading = ( 7.5 ) pages per hour
The cost will be calculated as:-
For 2 hours = $40
For 1 hour = ( 40 / 2 )
For 1 hour = $20
Therefore, the proofreading rate will be ( 7.5 pages/ hour) and the cost per hour will be $20.
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