Given:
[tex]p(x)=ax-b[/tex]Let p(x)=0
[tex]\begin{gathered} 0=ax-b \\ ax=b \\ x=\frac{b}{a} \end{gathered}[/tex][tex]\frac{b}{a}\text{ is the zero of p(x)}[/tex]Quadrilateral ABCD is rotated 90 degrees about the orgin. What are the coordinates of the quadrilateral A'B'C'D?
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.
23. Express the following ratios in the form 1:n
(a) 1/3: 1/5
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)
Need help with equation of a circle
It is important to know that the standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]Where (h, k) is the center.
According to the given image, the center is (-1,2). So, h = -1 and k = 2.
Also, the radius shown is 2 units. So, r = 2.
Hence, the equation would be
[tex]\begin{gathered} (x-(-1))^2+(y-2)^2=2^2 \\ (x-(-1))^2+(y-2)^2=4 \end{gathered}[/tex]Hence, the answer is C.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
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]-2 x? x-3 = -18 what is the value of the question mark?
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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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)
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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What is the value of the expression?
Enter your answer as a simplified mixed number
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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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?
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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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
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
A crate full of oranges weighs 28.4 lb. If the empty crate weighs 3.75 lb. what do oranges alone weigh?
Given,
The weight of crate with full of oranges is 28.4 lb.
The weight of empth crate is 3.75 lb.
So,
The weight of oranges is,
Weight of oranges= weight of caret with orange- weight of emplty crate
[tex]\begin{gathered} =28.4\text{ lb-3.75 lb} \\ =24.65\text{ lb} \end{gathered}[/tex]Hence, the weight of the oranges is 24.65 lb.
Find the area of the triangle belowunits given are cm, cm^2, cm^3
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
Find the EQUATION OF THE TANGENT to g(x)=(x-4)^2 at it’s y-intercept. Please use an appropriate limit, much appreciated!
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]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
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]
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
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
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.
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
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
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.
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 .
Help!! What would K be?
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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what is 18 x 12657=? hhhhhhhhhhhheeeeeellllllppppppppppppppp
Answer:
227826
i used a calculator
18 x 12,657= 227,826
Please comment if you have further questions to this problem.
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
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
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)
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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4x-1/2+2/3x very hard :]
The required polynomial (24x² - 3x + 4) / 6x is equivalent to the given expression 4x - 1/2 + 2/3x.
What is the expression?Expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The expression below which is given in the question.
⇒ 4x - 1/2 + 2/3x
Rearrange the terms likewise and apply the arithmetic operation
⇒ 4x + 2/3x - 1/2
Take the LCM in the above expression,
⇒ (6x × 4x + 2 × 2 - 3x ×1) / 6x
⇒ (24x² + 4 - 3x) / 6x
⇒ (24x² - 3x + 4) / 6x
The required polynomial (24x² - 3x + 4) / 6x is equivalent to the given expression.
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The question seems to be incomplete the correct question would be
Which polynomial is equivalent to the below expression?
4x - 1/2 + 2/3x
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.)
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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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?
Answer:
19 pennies 19 dimes,1 quarter
Step-by-step explanation: it calculate with calculator
Translate and then solve the inequality. “Ten subtracted from the quotient of a number and 7 is less than -6.”
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]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
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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Which number sentence can be used to find the area of the rectangle?
A. 9x3= square centimeters
B. 8x2= square centimeters
C. 9+3= square centimeters
OD. 8+2=square centimeters
Two numbers that can be used to find the area of the rectangle are:
(A) 9×3 cm²(B) 8×2 cm²What are rectangles?An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional shape. The rectangle's longer side is its length, and its shorter side is its width. A quadrilateral with all of its angles equal, or right angles, is a rectangle. In addition to having all equal angles, a square also has all equal sides. Therefore, a special case of a square is a rectangle. To put it another way, a rectangle can also be a square (when all sides to are equal).So, we know that the formula for the area of the rectangle is:
l × bWhere l is length and b is breadth.
As the l and b are multiplied, then options (C) and (CD) are wrong as they are performing addition, and the correct options can be (A) and (B) and they are performing multiplication.One number can be the length and the second can be the breadth of the rectangle.Therefore, two numbers that can be used to find the area of the rectangle are:
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Convert each percent to a fraction and a decimal. 22 2/9%
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.
Rewrite loge u + 6 loge v using properties of logarithms.A. logeOB. loge5/► ³/8 3/8uOC. logeOD. loge (uv")Reset Selection
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]Solve for x. 2x + 3 = 3 - (4x + 12)
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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