Answers
The domain can be best described using interval notation. The domain is [-7,8].
The range can be best described using interval notation. The range is [-4,3]
The graph of a function is given. As the graph is a straight line, it is clear that the function is a linear function. Also the function graphed has no breaks or jumps. Hence the function is continuous.
The domain of a function is the x-values for which the function is defined or the function has values.
The values of the function corresponding to the x-values in the domain is called the range. It is also called image and is a subset of the co-domain set.
Now since the graph of the function given is continuous we can better describe the domain and range of the function in the form of intervals.
The x-values for which the function is defined lies form -7 to 8 on the x-axis and hence it is the domain.
The y-values corresponding to the x-values in the domain lies between -4 and 3 on the y-axis and hence it is the range.
That is, The domain is [-7,8] and The range is [-4,3].
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Related Questions
A recent survey reported that 84% of Americans approve of human Embryonic stem research. If any American is selected at random find the probability that he or she will disapprove or have no opinion on the issue.
Answers
Answer:
The answer is 16%
Explanation:
If we have probability expressed in percentage, all the possible outcomes must add to 100%. In this case, we know that the p
Translate and then solve the inequality. “Ten subtracted from the quotient of a number and 7 is less than -6.”
Answers
Given:
Ten subtracted from the quotient of a number and 7 is less than -6.
Let x be a number.
The given statement is written as,
[tex]\begin{gathered} \frac{x}{7}-10<-6 \\ \text{Add 10 on both side} \\ \frac{x}{7}-10+10<-6+10 \\ \frac{x}{7}<4 \\ \text{Multiply by 7 on both sides} \\ 7(\frac{x}{7})<7(4) \\ x<28 \end{gathered}[/tex]Answer: the inequality is,
[tex]\frac{x}{7}-10<-6[/tex]The solution is,
[tex]x<28[/tex]1. What theorem allows you to prove line f is parallel to line g? For what value of x is line f parallel to line g? I NEED FULL DETAIL
Answers
The value of x that will make the line f parallel to line g is 6.
The theorem that allows you to prove line f is parallel to line g is corresponding line theorem.
How to find angles when parallel lines is cut by transversal?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, vertically opposite angles etc.
The theorem that prove the line f is parallel to line g will make the two angles equal.
15x + 9 = 21x - 27
f and g will be parallel and cut by the transversal line h when
15x + 9 = 21x - 27
15x - 21x = -27 - 9
- 6x = -36
x = -36 / -6
x = 6
Therefore, corresponding angle theorem prove line f is parallel to line g and the value of x is 6 to make line f and g parallel.
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Emily is standing 24 feet away from a light pole. The distance between Emily to a point of tangency on the pole is 12 feet. What is the radius of the light pole?Note : In the figure distance between Emily and the point of tangency is marked as 24 ft instead of 12.
Answers
From the given figure,
AB = Distance between Emily to a point of tangency.
BC = Radius of the pole
AC = Distance between Emily and the pole.
ABC is a right angled triangle at B.
Now,
[tex]\begin{gathered} In\text{ }\Delta ABC\text{ , By Using Pythagoras theorem } \\ AC^2=AB^2+BC^2 \end{gathered}[/tex]Substituting the given values in the statement,
[tex]\begin{gathered} 24^2=12^2+r^2 \\ r^2=24^2-12^2 \\ r^2\text{ = }432 \\ r\text{ = 20.78 ft} \end{gathered}[/tex]Thus the radius of the pole is 20.78 ft .
Solve the inequality. 4. 91 ≤ x + 265. x/4 < 8.46. 60 < 0.5x7. x - 2.3 < 6.6 8. x + 2.3 ≤ 5.7
Answers
4) The given inequality is
91 ≤ x + 26
We would solve for x by subtracting 26 from both sides of the inequality. We have
91 - 26 ≤ x + 26 - 26
65 ≤ x
By reversing the inequality, it becomes
x ≥ 65
Quadrilateral ABCD is rotated 90 degrees about the orgin. What are the coordinates of the quadrilateral A'B'C'D?
Answers
The coordinates of the object image are;
A {5,5}
B{5,1}
C{2,1}
D{1,5}
The rule for rotation of a point {x,y} through 90 degrees about the orgin, is that the object coordinates {x,y} change to image coordinates { y,-x}. This means the coordinates shift positions and the y coordinate acquires a negative sign. So in this case;
A {5,5}------- A' { 5,-5}
B{5,1}----------B' {1,-5}
C{2,1} ---------C' {1,-2}
D{1,5} ---------D' { 5,-1}
Answer
A.
a number m is no less than -1 or less than or equal to -5 1/3
Answers
Answer:
Step-by-step explanation:
y=5 1/3 can be expressed in infinite ways
PREMISES
y=5 1/3 expressed as a fraction
CALCULATIONS
The mixed number 5 1/3 can be written in various ways:
y=5 1/3
y=
(.25/.046875, .5/.09375, 1/.1875, 2/.375, 4/.75, 8/1.5, 16/3 as improper fractions or 5.3333 repeating as a decimal fraction]
What is the value of the expression?
Enter your answer as a simplified mixed number
Answers
Expression is a combination of numbers, operators and variables.
-[-1 1/5 ÷ 0.6(1.3)}-5/6 is the expression and 4.234/6 is solution of the expression.
What is Expression?Expression is a combination of numbers, operators and variables.
-[-1 1/5 ÷ 0.6(1.3)}-5/6
The given expression has plus, minus , multiplication and divided symbols.
By using BODMAS rule we have to solve the expression.
-[-6/5 ÷ 0.78]-5/6
-[-1.2 ÷ 0.78]-5/6
-[-1.539]-5/6
1.539-5/6
(9.234-5)/6
4.234/6
Hence 4.234/6 is the value of expression -[-1 1/5 ÷ 0.6(1.3)}-5/6 after solving.
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Write a verbal expression for each algebraic expression.
a. 6
b. – 12m
Answers
The verbal expression for the algebraic expression
(a) 6 is " number six "
(b) -12m is " negative twelve times a number m " .
An Algebraic Expression can be defined as an expression that is made up of constants and variables linked with mathematical operators.
For Example : 2x+3y is an algebraic expression.
In the question ,
the algebraic expression are given as ,
Part(a)
6 ,
the verbal expression ,of the algebraic expression 6 is " number six " .
Part(b)
-12m
On Analyzing , we can say "12m" in simple language is "twelve times a number m ",
the sign "-" , means negative
Altogether , we can say that "-12m" means negative twelve times a number m .
Therefore , the verbal expression for the algebraic expression
(a) 6 is " number six "
(b) -12m is " negative twelve times a number m " .
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what is 18 x 12657=? hhhhhhhhhhhheeeeeellllllppppppppppppppp
Answers
Answer:
227826
i used a calculator
18 x 12,657= 227,826
Please comment if you have further questions to this problem.
Ramiro got a job through the McGovern Employment Agency. The job pays $59400 per year, and the agency fee is equal to 25% of one month's pay How much must Ramir0 pay the agency? Round to the nearest cent. There are 12 months in a year. Input the numbers only -do not insert a dollar sign. Previous o new data to save astchegked at 2:0am Submit Q
Answers
He earns $59,400 per year and the agency fee is 25% of one month salary . His one month salary can be calculated as follows
[tex]\frac{59400}{12}=4950[/tex]25% of one month salary can be calculated as follows
[tex]\frac{25}{100}\times4950=\frac{123750}{100}=1237.5[/tex]Carlos has a box of coins that he uses when playing poker with friends. The box currently contains 39 coins, consisting of pennies, dimes, and quarters. The number of pennies is equal to the number of dimes, and the total value is $2.34. How many of each denomination of coin does he have?
Answers
Answer:
19 pennies 19 dimes,1 quarter
Step-by-step explanation: it calculate with calculator
A line contains points M(1, 3) and N(5, 0). What is the slope of MN?A -4/3 B -3/4C 3/4D 4/3
Answers
The slope calculated with points M(1, 3) and N(5, 0) is:
[tex]undefined[/tex]Answer:
B
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ = ) = M (1, 3 ) and (x₂, y₂ ) = N (5, 0 )
m = [tex]\frac{0-3}{5-1}[/tex] = [tex]\frac{-3}{4}[/tex] = - [tex]\frac{3}{4}[/tex]
A manufacturer knows that their items have a lengths that are approximately normally distributed, with a mean of 13.6 inches, and standard deviation of 2.2 inches.
If 38 items are chosen at random, what is the probability that their mean length is greater than 13.7 inches?
(Round answer to four decimal places)
Answers
If 38 items are chosen at random, the probability that their mean length is greater than 13.7 inches is 0.399.
What is probability?
Probability is simply the possibility that something will happen. When one doesn't know how something will turn out, one can talk about the possibility of one outcome or the likelihood of several.
The study of events that fit into a probability distribution is known as statistics.
A Z-score is a metric that quantifies how closely a value relates to the mean of the set of values. Standard deviations from the mean are used to measure Z-score.
Given that mean of 13.6 inches, and standard deviation of 2.2 inches.
mean, m=13.6
standard deviation, s=2.2
mx=m=13.7
Sample size,n=38
sx=s/√n=2.2/√38=0.356
P(x<13.6)=P(x-m/s < 13.7-13.6/0.356)
P(Z< -0.2809)
=0.399
If 38 items are chosen at random, the probability that their mean length is greater than 13.7 inches is 0.399.
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Rewrite loge u + 6 loge v using properties of logarithms.A. logeOB. loge5/► ³/8 3/8uOC. logeOD. loge (uv")Reset Selection
Answers
We ill have the following:
[tex]\begin{gathered} log_6u+6log_6v\Rightarrow log_6u+log_6v^6 \\ \\ =log_6(uv^6) \end{gathered}[/tex]A) 104 units^2 B) 2184 units^2 C) 248 units^2 D) 250 units^2
Answers
First find the perimeter of the rectangle
P = 2(l+w) where l is the length and w is the width
P = 2( 5x-1+x)
Combine like terms
P = 2( 6x-1)
P = 12x -2
Find the perimeter of the triangle
P = s1 + s2 +s3 where s is the side length
P = 5x+12+ 6x+7
Combine like terms
P = 11x+19
We are told the perimeters are equal
12x-2 = 11x+19
Subtract 11x from each side
12x-2 -11x = 11x+19-11x
x-2 = 19
Add 2 to each side
x-2+2 = 19+2
x = 21
The side lengths of the rectangle are
x=21 and 5x-1 = 5*21 -1 = 105-1 = 104
We can find the area
A = l*w where l is the length and w is the width
A = 21 * 104
A = 2184 units^2
Answer:
B 2184 units^2
Convert each percent to a fraction and a decimal. 22 2/9%
Answers
We will have the following:
First, we transform the percentage as a simple fraction:
[tex]22\frac{2}{9}=\frac{198}{9}+\frac{2}{9}=\frac{200}{9}\approx22.222222\ldots[/tex]So:
[tex]22\frac{2}{9}\approx22.222\ldots[/tex]So, the percentage is approximately 22.222.
***Explanation***
First, we are given a percentage:
[tex]22\frac{2}{9}\%[/tex]Now, in order to determine a fraction that represents this percentage we will have to bear in mind the following:
*A fraction represents a porcentage, so after solving for a simple fraction of the percentage given we obtain as solutions the simple fraction, that is:
[tex]22\frac{2}{9}=\frac{198}{9}+\frac{2}{9}=\frac{200}{9}[/tex]So, the fraction form of the porcentage given is 200 / 9.
And the decimal form is given by siply operating the fraction:
[tex]\frac{200}{9}=22.222222\ldots[/tex]So, it's decimal form is 22.222222... So, it is an infinitely long decimal, so we approximate its form, and it will be approiximately 22.2.
Quadrilateral QRST is similar to quadrilateral EDGF. What's the scale factor from EDGF to QRST?Question options:A) 6∕7B) 5∕4C) 5∕6D) 6∕5
Answers
To determine the scale factor from EDGF to QRST:
[tex]\begin{gathered} \text{EDGF = }35\text{ } \\ \text{QRST = 42} \end{gathered}[/tex]The Quadrilateral QRST is similar to quadrilateral EDGF with a scale factor:
[tex]\frac{\text{QRST}}{\text{EDGF}}=\frac{42}{35}[/tex]The scale factor =
[tex]\frac{\text{QRST}}{\text{EDGF}}=\frac{42}{35}=\frac{6}{5}[/tex]Therefore the scale factor from EDGF to QRST = 6/5
Hence the correct answer is Option D
Additional memory for your computer sells for $109.99 with a $10.00 mail-in rebate. What is the final price after the rebate if an envelope costs $0.35 and a 'forever' postage stamp costs $0.41?
Group of answer choices
$99.99
$10.76
$109.23
$100.75
Answers
Answer: D (100.75 $)
Step-by-step explanation: the price is initially $109.99, and a mail-in rebate is almost a coupon, getting you $10 dollars off, making it $99.99 But then with the extra expenses of the envelope and stamp, you add 76 cents, making it $100.75
Mike wants to buy a new suit. The suit he likes is on sale for 30% off it’s original price. Her parents agree to pay for 50$ of the cost. If the original cost of the bike is 150$, how much of her own money will sierra have to pay? (No sales tax is charged.)
Answers
Percentage, a relative value indicating hundredth parts of any quantity.
Sierra needs to pay $55 of her own money to get the bike.
What is Percentage?Percentage, a relative value indicating hundredth parts of any quantity.
Given that ,
Mike wants to buy a new suit. The suit he likes is on sale for 30% off it’s original price. Her parents agree to pay for 50$ of the cost.
the original cost of the bike is 150$.
We need to find how much has to pay her own.
Now firstly let us calculate what is the 30% of 150
We need to convert 30% to decimal by dividing with hundred
30/100=0.3
Now multiply 0.3 with 150
0.3×150=$45
Hence the off value is $45
Now subtract $45 from $150 we get
$150-$45=$105.
Siera parents will pay $50.
$105-$50
We get $55.
Hence Sierra has to pay $55 of her own money to get the bike.
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9. Alice bought a round-trip ticket to fly
from Baltimore to Chicago on
SuperAir for $250. That was $16
more than she would have paid on Jet
Airlines, which only offered a one-way
fair. How much did Jet Airlines charge
to fly from Baltimore to Chicago?
Answers
Jet Airlines charging $ 234 to fly from Baltimore to Chicago.
Given :
Tickets from Baltimore to Chicago on Super Air is $250
Which is $16 more than Jet Airlines.
Therefore she was going to pay $250 - $16 at the Jet Airlines.
= $ 234
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Find the area of the triangle belowunits given are cm, cm^2, cm^3
Answers
Answer:
[tex]A_T=150cm^2[/tex]Explanation: We need to find the area of the triangle, We know that the area of any right triangle is:
[tex]A_T=\frac{1}{2}(b\times h)[/tex]Therefore in the information given we have the following:
[tex]\begin{gathered} h=20\operatorname{cm} \\ b=15\operatorname{cm} \end{gathered}[/tex]Therefore the Area of this triangle is as follows:
[tex]\begin{gathered} A_T=\frac{1}{2}(b\times h) \\ \therefore\rightarrow \\ A_T=\frac{1}{2}(20cm\times15cm)=\frac{1}{2}(20\times15)cm^2 \\ A_T=\frac{1}{2}(300)cm^2=150cm^2 \\ \therefore\rightarrow \\ A_T=150cm^2 \end{gathered}[/tex]Note! Units are centimeter-squared
Solve for x. 2x + 3 = 3 - (4x + 12)
Answers
For the equation, 2x + 3 = 3 - (4x + 12), the value for x is -2.
Linear Equation: An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant.
The given equation is 2x + 3 = 3 - (4x + 12)
We have :
2x + 3 = 3 - (4x + 12)
Opening the brackets as a 1st step,
2x +3 = 3 - 4x -12
Keeping all the variable terms on one side,
2x +4x = 3 - 12 - 3
Adding the variables and nonvariables, we get:
6x = -12
Now, Dividing both sides by 6,
[tex]x = \frac{-12}{6} = -2[/tex]
Hence, the value of x is -2.
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Help!! What would K be?
Answers
The value of k in the first relation is 5/3 and in the second relation the value of k is 36.5.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
It is given that
The relation between x and y:
y = (5/3)x
y = kx
The value k = 5/3
The second relation between x and y:
y = 36.5x
k = 36.5
Thus, the value of k in the first relation is 5/3 and in the second relation the value of k is 36.5.
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-2 x? x-3 = -18 what is the value of the question mark?
Answers
The missing number is -3 of the given expression.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
* Multiplication operation: Multiplies values on either side of the operator
For example 12×2 = 24
The expression as:
-2 × ? × -3 = -18
We have to determine the value of the question mark
Let the missing number would be n
⇒ -2 × n × -3 = -18
Apply the multiplication operation, and we get
⇒ 6 × n = -18
Divided by 6 into both sides of the equation,
⇒ n = -18 / 6
⇒ n = -3
Therefore, the missing number is -3.
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23. Express the following ratios in the form 1:n
(a) 1/3: 1/5
Answers
Answer:
1 : 3/5
Step-by-step explanation:
1/3 : 1/5
3/3 : 3/5 (multiply both sides of the colon by 3)
1 : 3/5 (simplify)
Calculate (A) the average daily balance and (B) the finance charge. (Round your final answer to the nearest cent.)
30 Day Billing Cycle
4/20 Billing date previous balance $ 800
4/27 Payment 100
4/30 Charge 300
5/9 Payment 50
5/12 Cash advance 200
Answers
The average daily balance and the finance charge will be $958.33 and $9.58 respectively.
How to compute the finance?Average Daily Balance will be calculated thus:
7 * $800 = $5,600
3 * $700 = $2,100
9 * $1,000 = $9,000
3 * $950 = $2,850
8 * $1,150 = $9,200
Total = $28,750
Average Daily Balance = Total amount / Number of period
= $28,750/30
= $958.33
Finance Charge:
= $958.33 * 0.01
= $9.58
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Jamie earned 18 more points on her test than Paul earned. Their points add up to 60. How many points did each student earn?
Answers
Answer:
Paul earned 21 points and Jamie earned 39 points.
Step-by-step explanation:
So, you start off with 60-18=42. Now, you have how much they earned minus Jamie's bonus 18. So, now that they have earned the same amount, you divide 42/2=21. So, now you know how many points Paul earned, 21, and now you just have to add the points Jamie earned that Paul didn't back to their score. 21+18=39
Find the EQUATION OF THE TANGENT to g(x)=(x-4)^2 at it’s y-intercept. Please use an appropriate limit, much appreciated!
Answers
Answer: y = –8x + 16
Explanation
Given
[tex]g\mleft(x\mright)=\left(x-4\right)^2[/tex]First, we have to know the y-intercept, which is the point where x = 0:
[tex]g(0)=(0-4)^2[/tex][tex]g(0)=16[/tex]Thus, the y-intercept is (0, 16).
Next, we have to get the derivative of the function, as the tangent line is the derivative:
[tex]\frac{dg(x)}{dx}=2(x-4)[/tex]Then, we have to compute the slope:
[tex]m=-8[/tex]Finally, we find the line in the slope-intercept form (y = mx + b):
[tex]b=16[/tex]Thus:
[tex]y=-8x+16[/tex]Which of the following rational functions is graphed below?O A F(x) = (x - 1)(x - 5)O B. F(X) a (x - 1)(x-6)
Answers
Given the graph of a rational function
As shown: the function has vertical asymptotes at:
[tex]x=1,x=5[/tex]So, the dominator will be:
[tex](x-1)(x-5)[/tex]So, the function will be:
[tex]f(x)=\frac{x}{(x-1)(x-5)}[/tex]so, the answer is option B
The equation that represents the graph will be f(x) = x / [(x - 1)(x - 5)]. Thus, the correct option is B.
A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
From the graph, the equation of the asymptotes will be at x = 5, 1. Then the equation is given as,
f(x) = x / [(x - 1)(x - 5)]
Thus, the correct option is B.
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