Answer:
Step-by-step explanation:
x +3 I x⁴ + 0x³ - 6x² + 0x -28 I x³ - 3x² + 3x - 9
x⁴ + 3x³
- -
-3x³ - 6x²
-3x³ - 9x²
+ +
3x² + 0x
3x² + 9x
- -
-9x -28
-9x - 27
+ +
-1
P(x) =(x +3)* (x³ - 3x² + 3x - 9) + (-1)
use distributive property to rewrite this problem: -2(n-7)
To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:
a(b + c) = ab + ac
Applying this property to the given expression:
-2(n-7) = -2 * n + (-2) * (-7)
Simplifying further:
-2(n-7) = -2n + 14
Therefore, the rewritten expression is -2n + 14.
Help picture below 3 problems easy will give brainlest
Answer:
7. 64
22. 12.9
12. 22
Step-by-step explanation:
x = 154 154 - 90 = 64
15% of 86 is 12.9
A triangle's angles must all add up to 180.
90 + 68 = 158 180 - 158 = 22
Rewrite the equation by completing the square. 4x^2-4x+1=0
Answer:
(x+(-x))²=0
Step-by-step explanation:
4 - a
-4 - b
1 - c
D = b²-4ac
D = (-4)² - 4×4×1
D = 16-16=0 => only one root
x= -b/2a
x= 4/2×4
x= 4/8 = 1/2 = 0.5
A borrower wants to take a loan with a maximum effective monthly rate of 1%. What is the maximum APR with quarterly compounding that the borrower will accept from a lender?
The maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.
How to calculate APR?To convert the maximum effective monthly rate of 1% into an APR with quarterly compounding, we can use the formula:
\(APR = [(1 + \dfrac{r}{n})^n - 1] \times 4\)
Where r is the effective monthly rate and n is the number of compounding periods per year. In this case, we want to find the maximum APR with quarterly compounding that the borrower will accept, so we can substitute r = 1% and n = 3:
\(APR = ((1 + \dfrac{0.01}{3})^3 - 1) \times 4\)
APR = (1.0100333³ - 1) x 4
APR = 0.04033 x 4
APR = 0.16132 or 16.132%
Therefore, the maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.
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Start at the origin, shift up 3 units
find the measure of minor arc RV
The measure of the minor arc m∡rv = 111°
What is the explanation for the above response?Recall that according to the principle of angle of intersecting secants, (a-b)/2 = c
Where a = ∡RV
b = ∡SU = 37°:
and c = ∠T (the angle between intersecting secants.
Thus, if (a-b)/2 = c, and b = c = 37 degrees, then we can substitute these values into the equation to get:
(a - 37) / 2 = 37
Multiplying both sides by 2 gives:
a - 37 = 74
Adding 37 to both sides gives:
a = 111
Therefore, a is equal to m∡rv = 111°.
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There are 8 fewer than double the
number of students in the chorus than in
the band. There are 54 members in the
chorus. Which equation represents how
to find the number of students in the
band?
A. 2x - 8= 54
B. 2x + 8 = 54
C. 8x - 2 = 54
D. 8x + 2 = 54
Answer:
The equation to find the number of students in the
the band will be: 2x - 8= 54
Step-by-step explanation:
Let the number of members in the chorus = x
so the double number of members in the chorus will be = 2x
As Total members in the chorus = 54
As there are 8 fewer than double the number of students in the chorus than in the band. i.e. 2x - 8
Therefore, the equation to find the number of students in the
the band will be: 2x - 8= 54
Which graph best represents y = −x2 + 6x − 1?
Answer:
which graph best represents y = -x2 + 6x - 1?
Step-by-step explanation:
hich is the graph of the linear function that is represented by the equation y= 1/2x-2 ?
Answer:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex: ( 3 , 8 )
Focus: ( 3 , 31 /4 )
Axis of Symmetry: x = 3
Directrix: y = 33/4
x y
1 4
2 7
3 8
4 7
5 4
Step-by-step explanation:
Below is a picture of the graph
PLEASE HELP FAST !!!!!
The distribution of pitches thrown in the
80 at-bats in a baseball game is as follows.
Pitches 1 2 3 4 5
Frequency 12 16 32 12 8
Find the relative frequency that the pitcher
will throw exactly 4 pitches in an at-bat.
?
Relative Frequency =
Do NOT simplify your answer.
The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:
3/20.
How to calculate a relative frequency?A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.
The total number of at bats in this problem is given as follows:
80.
In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:
12/80 = 3/20.
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elected at
pants?
D. 음
is divided
oun once,
will land
5.
To order a burrito from Teresa's Burrito Shop, Jim
always chooses 1 item from each column in the
table below.
Burrito Choices
Topping
beans sour cream
guacamole
Wrap Filling
plain
wheat beef
chicken
What is the total number of ways that Jim can
order a burrito at Teresa's Burrito Shop by
choosing 1 wrap, 1 filling, and 1 topping?
A. 6 B. 7 C. 10 D. 12
Answer: d.12
Step-by-step explanation:
Help with math problems
(D) |k - 7| < - 6 has no solution is not a true statement because an absolute value can never be negative, so the inequality has no solution.
What is inequality?Inequality refers to the state of being unequal or not equal in some respect. It can refer to various forms of disparities or differences, such as differences in income, wealth, education, opportunities, health, or social status, among others. Inequality can occur between individuals, groups, communities, or nations, and it can be caused by various factors, such as discrimination, historical legacies, social structures, policies, or economic systems. Inequality is often considered a social problem because it can lead to social tension, unrest, and injustice, as well as undermine economic growth and human development.
(D) |k - 7| < - 6 has no solution is not a true statement because an absolute value can never be negative, so the inequality has no solution.
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PLEASE HELP ASAP I CANT FIGURE IT OUT 100 POINTS FOR FIRST PERSON WHO ANSWERS
Answer: D
Step-by-step explanation: your in compass charters i think so i've done the quiz Aswell :)
Answer:
-1 ,5
Step-by-step explanation:
The zeros of a function are defined as the values of the variable of the function such that the function equals 0
Two shops sell notebooks for different prices,
as shown below.
Jake wants to buy 2 notebooks. What is the
difference between the amounts he would pay
at each shop?
Give your answer in pounds (£).
Post office
£5 each
Buy one, get
another half price
Bookshop
£5.40 each
Buy two, get
off the total
se voce comprar os dois, voce irá gastar 10,40 libras
The average (A) of two numbers, m and n, is given by the formula A = m+t/2 . Find
the average of the two numbers 36 and 72.
The solution is
Answer:
\(54\)
Step-by-step explanation:
Formula for average A of two numbers m and n is:
\(A=\frac{m+n}{2}\)
Substitute the value m=36 and n=72
\(A=\frac{36+72}{2}\)
This is equivalent to:
\(A=\frac{108}{2}\)
The average is:
\(A=54\)
The graph of g(x) = (x + 2)2 is a translation of the graph of f(x) by units.
1. Left 2. 2 units
3. Right 4. 3 units
EDGE 21
Answer:
Left 2 units
Step-by-step explanation:
Without knowing what f(x), it is impossible to answer this question. I'll answer assuming a parent function of \(f(x)=x^2\).
In the function \(y=(x-c)^2\), \(c\) represents the phase shift from parent function \(f(x)=x^2\). If \(c\) is positive (e.g. \((x-3)^2\)), then the function shifts to the right however many units \(c\) is. If \(c\) is negative (e.g. \((x+5)^2\)), the function shifts to the left however many units the absolute value of \(c\) is.
In the function \(g(x)=(x+2)^2\), let's find out the value of \(c\):
Format: \(y=(x-c)^2\)
\(g(x)=(x+2)^2=(x-(-2))^2\)
Therefore, \(c=-2\).
Since \(c\) is negative, the function must shift to the left. To find out how many units it shifts to the left, take the absolute value of \(c\):
\(|-2|=\boxed{2\text{ units to the left}}\).
Thus, the graph of \(g(x)=(x+2)^2\) is a translation of the graph \(f(x)=x^2\) by 2 units to the left.
*Note: Once again, this answer is assuming \(f(x)=x^2\) as it is not clarified in the question. If \(f(x)\neq x^2\) and is already shifted, you will need to account for shift. If you believe this is the case, feel free to let me know in the comments.
What is the volume of this object?
Answer:
The volume is 45 cubic units.
So enter "45" into the box.
Step-by-step explanation:
Multiply the dimensions to get the volume. (Length times width times height)
The box is 5 units by 3 units by 3 units.
Solve 5x3x3 (LxWxH) using a calculator...
And you get 45 cubic units.
Answer:
45
Step-by-step explanation:
L= 3
W= 5
H= 3
V=LxWxH
3 x 3 x 5
If ax+b=3 and a=0, then x=
Answer: the answer is e
Step-by-step explanation:
If ax + b = 0, is x > 0
(1) a + b > 0
(2) a - b > 0
D
1
C. The measu
D. The value of x is 30.
16. In the figure below, lines A and B are
parallel.
A
B.
25
23
21
96
22
<4
Find the m25 if mZ1 = 75° and m23 = 40°.
Answer: Hola
Step-by-step explanation:
Hola tu papa Nunca came back from the grocery store.
Find to value of a if you knew the perimeter was 250 inches long
Answer:
To find the value of "a" when you know the perimeter of a shape, you need to know the specific shape you're referring to. Please provide more information about the shape in question, such as whether it's a rectangle, triangle, or another geometric figure. Additionally, if you have any specific measurements or relationships between the sides of the shape, please provide them as well.
Find the least common denominator (LCD) of 9x/x+4 and 17/3x+12.
Therefore, the least common denominator of the two fractions is. \(3(x+4)^2\)
What is LCD?LCD stands for Liquid Crystal Display. It is a type of display technology used in devices such as televisions, computer monitors, smartphones, and digital watches. The LCD display consists of a layer of liquid crystal material sandwiched between two transparent electrodes. The liquid crystal material is responsible for the light modulation which produces the display.
When an electric current is applied to the electrodes, the liquid crystal material changes its optical properties, which allows light to pass through or be blocked. This modulation of light produces the images that we see on LCD screens. LCD displays are known for their high resolution, sharp images, and low power consumption, which make them a popular choice for a variety of electronic devices.
To find the least common denominator (LCD) of the two fractions, we need to factor the denominators of each fraction.
The first denominator x+4 factors as x+4.
The second denominator 3x+12 can be simplified by factoring out the greatest common factor of 3, which is\(3(x+4). So 3x+12 = 3(x+4)\).
Now we have the two denominators in factored form, and the LCD is the product of the factors with the highest power of each factor used.
Thus, the LCD is:
\(LCD = 3(x+4) * (x+4) = 3(x+4)^2\)
To convert the first fraction to an equivalent fraction with the same denominator, we need to multiply both the numerator and denominator by 3:
\(9x/x+4 = 9x/x+4 * 3/3 = (27x)/(3x+12)\)
To convert the second fraction to an equivalent fraction with the same denominator, we need to multiply both the numerator and denominator by (x+4):
\(17/3x+12 = 17/3x+12 * (x+4)/(x+4) = (17(x+4))/(3(x+4)^2)\)
Now both fractions have the same denominator, which is \(3(x+4)^2\).
So, the equivalent fractions are:
\((27x)/(3x+12) = (27x * (x+4))/(3(x+4)(x+4)) = (27x(x+4))/(3(x+4)^2)\)
\((17(x+4))/(3(x+4)^2)\)
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1. Luna and Miles want to start selling baked goods to raise money for their gymnastics team to get new gear. Luna is baking double chocolate brownies with white chocolate chips and is selling them for $4 for each brownie. Miles is making oatmeal raisin cookies because that is his favorite and is selling them for $2 per cookie. Between the two of them they would like to raise $100. Write an equation in standard form and y intercept form to express the scenario. Identify one possible solution and explain what it means.
2.We can model real world situations given an equation, a table, or a graph. Identify a time when it would be better to use a table than a graph and explain why.
Using a system of equations, it is found that:
1.
Equation in standard form: 4x + 2y = 100.Equation in y-intercept form: y = -2x + 50.One possible solution is x = 10 and y = 30, meaning that she can sell 10 chocolate chips and 30 brownies.2. Tables are good for summarized data, that is, containing a few pairs of input - outputs solutions.
What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the numeric values of each variable, according to the relations built in the problem.
In the context of this problem, the variables are given as follows:
Variable x: number of chocolate chips sold.Variable y: number of cookies sold.Considering that they want to raise $100, and the prices of $4 for each chocolate chip and of $2 for each brownie, the equation is:
4x + 2y = 100.
In intercept form, the equation is given by:
2y = 100 - 4x
y = -2x + 50.
When x = 10, the solution of the system for y is given as follows:
y = -2(10) + 50 = -20 + 50 = 30.
Hence one possible solution is (x,y) = (10,30), meaning that she can sell 10 chocolate chips and 30 brownies.
In this question, we are given pairs of input-output that satisfy the given condition, hence tables are more appropriate than graphs.
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Answer:
1. 100=4x+2y and y = -2x+50
X=19, and Y=12
2. Graphs are better for showing trends. tables are better for showing precise data.
Step-by-step explanation:
Luna makes $4 per cookie, so her equation for her income is 4x. Miles makes $2 per cookie, so his equation is 2y. Since they want to make $100, that means that 100 = 4x+2y. Then put this in y-inercept form. Or, y=-2x+50
So now I need to find a solution for y = -2x+50, or 100=4x+2y. One way to do this is through substitution. We can use 12 as the y input.
This would mean that miles sold 12 brownies. Then, ---> = 19.
Therefore, a solution is x=19 and y=12. Meaning Luna sold 19 cookies and Miles sold 12 cookies. (19,12)
Pls help me.
Tell me how to find 9
And also tell me how to find 8 in the sample above.
TYSM TO PEOPLE WHO HELPED
Step-by-step explanation:
add 6 and 2 to get 8 and add all the numbers to get 9
Which graph represents the system of linear inequalities?
2x+y<1
y≥12x+2
The graph of the system of linear inequalities 2x + y < 1 and y ≥ 12x + 2 is attached.
What is an equation?An equation shows how two or more numbers and variables are related to each other.
The standard linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
Inequalities is used for the non equal comparison of numbers and variables.
The graph of 2x + y < 1 and y ≥ 12x + 2 is attached.
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Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answer:
Step-by-step explanation:
A private school determines their annual profits from the function
p(x) = 0.4x2 – 19x, where x is the number of students enrolled in the school. What is
the annual profit if 750 students are enrolled in the school? 100 POINTS!!!
Answer:
210750 unitsStep-by-step explanation:
Given function:
p(x) = 0.4x² - 19xThe profit if 750 students are enrolled:
p(750) = 0.4(750²) - 19(750) = 210750 units of moneyThe equation is
p(x)=0.4x²-19xPut x=750
p(750)=0.4(750)²-19(750)=$210750
2. Ava has 6 boxes of cookies, each box has 30 cookies. Select all the equations that describe the situation. [2 points]
a.ᐧ30=6
b.=6 ᐧ30
c.6=30
d.ᐧ6=30
e.306=
Answer:
B, 6 x 30
Step-by-step explanation:
Because that's the only answer.
A student eats 7 servings of vegetables and 4 servings of fruits one day. Which statement is true?
Answer:
Step-by-step explanation:
B
One leg of a triangle has a length of 3m. The other sides have lengths that are consecutive integers find these lengths
The length of the other two sides are 4m and 5m
How to determine the lengthsUsing the Pythagorean theorem, we have that the square of the hypotenuse sides is equal to the sum of the squares of the other two sides of the triangle
This is represented as;
x² = y² + z²
From the information given, we have that;
z = 3m
x = x + 1
y = x
Substitute the values, we get
(x + 1)² = x² + 3²
Find the squares
(x + 1) ² = 9 + x²
expand the bracket
(x + 1) ( x + 1) - x² = 9
x² + x + x + 1 - x² = 9
collect like terms
2x = 8
x = 4
Then,
x + 1 = 5
x = 4
Hence, the values are 4m and 5m
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You pick a marble, roll a die, and pick a card. How many outcomes are possible?
The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
How to determine How many outcomes are possibleTo determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.
1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.
2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.
3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.
To find the total number of possible outcomes, we multiply the number of outcomes for each event together:
Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)
Total number of outcomes = n × 6 × 52
Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
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See photo please help
Answer:
2/3 is right one . option no B