The expression, (–5.5 + 2p)(–2), after simplification is 11-4p.
According to the question,
We have the following expression:
(–5.5 + 2p)(–2)
Now, in order to simplify this expression, we will multiply -2 into the bracket:
(Note that when a number or a variable is multiplied into the bracket then it is multiplied into every number or term within the bracket.)
-5.5*-2+2p*(-2)
We know that when two negative integers are multiplied then the result is positive and when one negative and one positive integer is multiplied then the result is negative.
11-4p
Hence, the expression, (–5.5 + 2p)(–2), after simplification is 11-4p.
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help meeeeeeeeeeeeeee pleaseee
The vertex of the curve is at (-2, -4) and the axis of symmetry is at -2
The curve opens downward.
from, the graph, the roots of the equation are -4 and 0
so if -4 is a root, (x + 4) is a factor and if 0 is a root, then x is a factor.
The equation of the curve is the product of the factors of the curve which is y = x(x + 4)
y = [tex]x^{2}[/tex] + 4x
the x coordinate of the vertex = -b/2a = axis of symmetry
where a is the coefficient of [tex]x^{2}[/tex] and b is the coefficient of x
so a = 1, b = 4
x coordinate of vertex = -4/2 = -2
substitute x = -2 into y = [tex]x^{2}[/tex] + 4x to find the y-coordinate of the vertex
y = [tex](-2)^{2}[/tex] + 4(-2)
y = 4 -8
y = -4
vertex is (-2, -4)
The axis of symmetry is -b/2a which is -2
The curve opens downward as the vertex is at -4
In conclusion, the vertex of the parabola is (-2, -4) and the axis of symmetry is -2 and the parabola opens downward
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Linwood Marcus purchased a new couch for $878 and two end tables for $127 each. What is the sales taz
his purchase if he lives in Florida where the sales tax rate is 6 percent?
A. $57.89
B. $65.67
C. $60.30
D. $67.92
The sales tax of his purchase if he lives in Florida where the sales tax rate is 6 percent is $67.92
What is meant by percentage?The word "percent" comes from the Latin per centum, which means "hundred" or "by the hundredth." The symbol for "percent" emerged gradually from the Italian expression per cento, which means "for a hundred." The "per" was frequently shortened as "p." and eventually vanished. The "cento" symbol was simplified to two circles divided by a horizontal line, from which the contemporary "%" symbol was formed.
The abbreviation "pct.", "pct," and sometimes "pc" are also used. A % is a dimensionless (pure) number with no unit of measurement.
Given,
Total purchase=$878
For two tables,
2×127=254
Total=878+254
=1132
6% of 1132 is,
(6/100)×1132
=$67.92
The sales tax of his purchase if he lives in Florida where the sales tax rate is 6 percent is $67.92
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help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The graph of the quadratic equation with axis of symmetry x = - 2 is shown in figure.
What is Quadratic equation?
An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The function is,
⇒ f (x) = - 3 (x + 2)² + 1
Now,
We know that;
If the function is of the form y = a (x - h)² + k;
Then, The vertex = (h, k)
And, Axis of symmetry is, x = h
Here, The function is,
⇒ f (x) = - 3 (x + 2)² + 1
⇒ f (x) = - 3 (x - (- 2))² + 1
By comparing we get;
h = - 2 , k = 1
So, Vertex of the function = (- 2, 1)
And, Axis of symmetry is;
⇒ x = - 2
Thus, The graph of the quadratic equation with axis of symmetry x = - 2 is shown in figure.
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you want to order posters to advertise your band. a company charges $109.95 for the first 100 posters and $65 for each additional 100 posters. a. write the equation where $y$ represents the total cost (in dollars) as a function of $x$ , the number (in hundreds) of posters ordered.
The required question based on number of posters is y = 109.95 + 65x.
The cost of additional posters = 65x, based on the mentioned information.The 100 posters make 1 set. Assuming the total number of posters be x. So, the additional sets will be calculated by the formula = (x - 100)/100.
Now, the equation will be the sum of the cost of first 100 posters and the cost of remaining posters.
y = 109.95 + 65x
Thus, the equation with the total cost (in dollars) as a function of the number (in hundreds) of posters ordered is y = 109.95 + 65x.
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What is an equation of the line that passes through the points (4, −2) and (2, 3)?
The equation of the line, in slope-intercept form, that passes through
(4, 2) and (-2, -3) is y = 5/6 x - 4/3.
What is slope-intercept form?
The meaning of slope-intercept form is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
Using two points and slope-intercept form we can find the equation of the line.
According to the given question:
The formula to find the slope of two points (x₁, y₁) and (x₂, y₂) is
m = (y₂ - y₁) / (x₂ - x₁)
The points given are (4, 2) and (-2, -3)
m = (-3 - 2) / (-2 - 4)
m = -5/ -6
m = 5/6
Now using the slope and the point (4, 2) the y intercept is
y = mx + b
2 = 5/6 (4) + b
2 = 10/3 + b
By further calculation,
b = 2 - 10/3
Taking LCM
b = (6 - 10)/3 = -4/3
By writing the equation in slope intercept form
y = mx + b
y = 5/6x - 4/3
Therefore, the equation of the line in slope intercept form is
y = 5/6 x - 4/3.
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A hippopotamus can run 6 kilometers in 15 minutes. At this rate, how far can the hippopotamus run in 1 minute?
Answer:
400meters
Step-by-step explanation:
Find the speed of the hippopotamus by dividing distance with time
6000 meters ÷15minutes =400meters/minutes
X Solve for x. *
please solve for c and explain
Check the picture below.
2015
The ratio of boys to girls in a class is 4:3. There are 35 students in the class. How many
students are boys?
Hannah prepares 44 pies for the thanksgiving feast at her school. each pie is cut into 8 pieces. approximately how many students can hannah feed? round to the nearest ten.
Answer:352
Step-by-step explanation:
solve the following equation step by step 7-x=5
Answer:
x=2
Step-by-step explanation:
add the x onto the other side so it is positive : 7=5+x
then subtract the 5 from both sides so you can isolate the x : 2=x
rewrite the equation: x=2
☆ Hello ☆
The value of x is 2.
[tex] \red{ \sf \underline {\underline{Explantation: }}}[/tex]
¿What are equations?
The equations represent an equality between two mathematical expressions that have at least one variable called unknown.
[tex] \sf \:Solution:[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \begin{gathered}\boldsymbol{\mathsf{7 - x = 5}}\\\boldsymbol{\mathsf{ - x = 5-7}}\\\boldsymbol{\mathsf{ - x = -2}}\ \\ {\mathsf{ x = 2}}\end{gathered}[/tex]
[tex] \bf \:Verification:[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \begin{gathered}\boldsymbol{\mathsf{7 - 2 = 5}}\\\boldsymbol{\mathsf{ 5=5}}\end{gathered}[/tex]
[tex]\green{ \sf \: The \: result \: is} \: \red{\longmapsto} \blue 5[/tex]
2x^2 + y^2 = 19
x + 3y = 0
Answer:
(-3,1) & (3, -1)
Step-by-step explanation:
Solving quadratic equation and linear equation:
2x² + y² = 19 -----------------(I)
x + 3y = 0 -----------------(II)
x = -3y --------------(III)
Substitute x = -3y in equation (I) and we can find the value of y.
2(-3y)² + y² = 19
2*9y² + y² = 19
18y² + y² = 19
Combine like terms,
19y² = 19
y² = 19 ÷ 19
y² = 1
y = √1
y = ±1
Substitute y = ±1 in equation (III) and find the value of x.
When y = 1,
x = -3*1
x = -3
When y = -1,
x = -3*(-1)
x = 3
Solutions: (-3, 1) ; (3, -1)
How do you solve #4 - #9?
4. There is no enough information.
5. ΔPEF ≅ ΔREF are congruent by SAS.
6. ΔKMO ≅ ΔOLK are congruent by SSS.
7. No enough information.
8. ΔPAN ≅ ΔKLC are congruent by SSS.
9. ΔABC ≅ ΔDEF are congruent by SSS.
What is the SSS and SAS Theorems?The SSS and SAS are theorems of triangle congruence that can be used to prove that two triangles are congruent. To prove that two triangles are congruent by SSS, both triangles must have three pairs of corresponding lengths that are congruent, while SAS is used when the two triangles have two pairs of congruent sides that are corresponding, and a pair of congruent included angles.
4. There is no enough information to prove triangles HNJ and RDF are congruent by neither SAS nor SSS.
5. Triangles PEF and REF are congruent by SAS.
6. Triangles KMO and OLK are congruent by SSS.
7. No enough information.
8. Triangles PAN and KLC are congruent by SSS.
9. Triangles ABC and DEF are congruent by SSS.
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< The concession stand at the baseball park sells food in value packs. The ratio in the value pack is 4 hot dogs 2 drinks: 1 bag of chips. A tape diagram representing the ratio of each item is shown. hot dogs drinks chips a. Describe what each small rectangle in the tape diagram represents b. What is the least total amount of items in a value pack? c. How many bags of chips are in a value pack if there are 10 drinks?
Answer:
someone answer please ive been waiting for 2 hours :skull:
Step-by-step explanation: please answer yall
Find the equation of the linear function represented by the table below in slope-intercept form.
Answer:
y = 8x - 6
Step-by-step explanation:
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
We know that the y-intercept occurs when x = 0 so from the table, it's b = -6
We can use the slope formula to find the slope:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\ \frac{2-(-6)}{1-0} \\\frac{2+6}{1-0} \\8=m[/tex]
Find the value of x if 3x = 23² – 17²
Answer:
The answer is 80
the degree of f(x) is ?
the end behavior is the left side is ?
and the right side is ?
The degree of the polynomial is 5, and the end behavior is:
as x → ∞, f(x) → -∞
as x → -∞, f(x) → ∞
How to get the degree of a polynomial?
For any given polynomial, we define the degree as the largest exponent on the polynomial.
On this case we have:
f(x) = 2x^3 - 3x^5 - x^2 + 1
We can see that the largest exponent is 5, so the degree is 5.
Now, for the ending behavior.
If we have an odd degree (like in this case) we will have opposite ending behaviors in both ends of the domain.
If the leading coefficient is negative (like in this case, it is -3) then the end behavior will be:
as x → ∞, f(x) → -∞
as x → -∞, f(x) → ∞
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suppose 44% of politicians are lawyers. if a random sample of size 853 is selected, what is the probability that the proportion of politicians who are lawyers will be less than 40%? round your answer to four decimal places.
The probability that the proportion of politicians who are lawyers will be less than 40% is 0.009299 .
Given :
Population Proportion ( p ) = ( 44 % ) = 0.44
Sample proportion ( p hat ) = ( 40 % ) = 0.4
Size of sample ( n ) = 853
To find : P ( p hat < 0.4 )
Formula : ( p hat - p ) / [tex]\sqrt{ p * ( 1 - p ) / n }[/tex]
Substituting values in the above formula ,
z = ( 0.4 - 0.44 ) / [tex]\sqrt{ 0.44 * ( 1 - 0.44 ) / 853}[/tex]
z = - 2.3535
z - score = -2.3535
Finding the p - value :
p - value = 0.009299
Therefore , the probability that the proportion of politicians who are lawyers will be less than 40% is 0.009299 .
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What is the value of 5.53?
The value of 3 in 5.53 is 3 hundredths.
What is place value?It is important to note that place values can be defined as the value that's represented by a digit based on the position that it takes. In mathematics, place value refers to the position or location of a digit in a number.
Each digit has a specific place in a number. The position of each digit will be expanded when we represent the number in general form. Those positions begin with a unit place, also known as one's position.
In this case, we want to know the value of 3 in 5.53. It should be noted that the first 5 is 5 ones, the second 5 is 5 tenths and the 3 is 3 hundredths.
Therefore, it's 3 hundredths.
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Complete question
What is the value of 3 in 5.53?
Hey I would rlly appreciate if someone can help IVE been stuck on this and pls make sure to find measure BCD
Answer:
140
Step-by-step explanation:
2x+5x+40=180
7x+40=180
7x=140
x=20
5x+40=BCD
5(20)+40
100+40
140
I’ll brainlist if y’all answer these…
A rectangle has an area of 405 cm square and width of 15 cm. The length of the rectangle is:
A) 27 cm
B) 20 cm
C) 390 cm
D) 6075 cm
The x- and y- intercepts of the graph of the line 5x - 3y - 15 = 0 are, respectively
A) 3 and -5
B) -3 and 5
C) 5 and -3
D) -5 and 3
The expression that simplifies to 11x + 2y is:
A) 4x + 3y + 7x - y
B) 13xy- 2y+ 2 + y
C) 9 x square + y + y + 2x
D) 5 + 6x + 2y
Answers: A, A, A
1)A rectangle has an area of 405 cm square and width of 15 cm. The length of the rectangle is: 27 cm
15cmx 27cm= 405 cm
2)The x- and y- intercepts of the graph of the line 5x - 3y - 15 = 0 are, respectively: 3 and 5
(I don't really know how to explain this.......)
3)The expression that simplifies to 11x + 2y is: 4x+3y+7x-y
4x+7x=11x
3y-y = 2y
Therefore, it will equal to 11x+2y.
I really hope this helps!
Please Mark Me Brainliest!!!
(I'm in 5th Grade Honors but I learn MS)
Answer:
All the answer are A
Step-by-step explanation:
Area = length times width
405 = x15 Divide both sides by 15
27 = x
For the x intercept Let y = o and solve for x
5x - 3y -15 = 0
5x - 3(0) -15 = 0
5x -15 = 0 Add 15 to both sides of the equation
5x = 15 Divide both sides by 5
x = 3
The x intercept is (3,0)
For the y intercept Let x = 0 and sole for y
5x -3y -15 = 0
-3y -15 = 0 Add 15 to both sides of the equation
-3y = 15 Divide both sides by -3
y = -5
The y intercept is (0,-5)
4x + 3y + 7x - y Combine the like terms
(4x + 7x) = (3y -y)
11x + 2y
Which equation is parallel to x-y=3 passes through (2,-4)
The equation of the line parallel to x - y = 3 and passes through pint (2,-4) is y = x - 6.
What is the equation of line that passes through the given point and parallel to the given equation?The equation of line is expressed as;
y = mx + b
The point-slope formula is expressed as;
y - y₁ = m( x - x₁ )
Where m is slope and b is the y-intercept.
Given the data in the question;
Equation: x - y = 3Point: (2,-4)
x = 2y = -4First, reorder the given equation in slope-intercept form and determine the slope.
x - y = 3
x = 3 + y
3 + y = x
y = x - 3
Hence,
The slope m = 1
To find the line parallel to the equation, the slope must be equal.
Find the line using point-slope formula.
y - y₁ = m( x - x₁ )
Plug in slope m = 1 and point: (2,-4)
y - ( -4 ) = (1)( x - 2 )
Simplify and convert to slope intercept form.
y + 4 = x - 2
y = x - 2 - 4
y = x - 6
Therefore, the equation of line is y = x - 6.
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The sum of 12 and a number. Use n for the variable. Responses 12/n 12/n 12 x n 12 x n 12 - n 12 - n 12 + n
The expression for the sum is (12 + n).
We are given two terms to add. The first number is 12, which is an integer. The second number is unknown. An integer is a number that has no decimal or fractional portion and can be negative or positive, including zero.
The second number is represented by a variable "n". A variable is a mathematical object's symbol and placeholder. A variable can, for example, represent an integer, a vector, or other data.
We need to write the expression for the sum of these two numbers. Let S represent the sum of these two numbers.
S = 12 + n
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Given f(x) = x2 + 5x − 6 and g(x) = 2x2 − 8, find each value.
f(−2) =
g(3) =
Step-by-step explanation:
those are the answers if I am wrong you can correct
[tex]log_{2} (\sqrt[3]{16})[/tex]
The value of the given expression will be 4 / 3.
What is a logarithmic expression?An equation using the logarithm of an expression containing a variable is referred to as a logarithmic equation. Check to verify if you can write both sides of the equation as powers of the same number before attempting to solve an exponential equation.
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given logarithmic expression is log₂(∛16). The expression will be solved as below,
[tex]E = log_2\sqrt[3]{16}\\E = log_2(2^{\frac{4}{3})\\E = \dfrac{4}{3}log_22\\E = \dfrac{4}{3}[/tex]
Therefore, the solution of the expression will be equal to 4 / 3.
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flaws in a carpet tend to occur randomly and independently at a rate of one every 270 square feet. what is the probability that a carpet that is 7 feet by 12 feet contains no flaws?
The probability that a carpet that is 7 ft × 12 ft contains no flaws is 0.732
What is the Poisson Distribution Formula?The Normal, Binomial, and Poisson Distributions are the three types of continuous and discrete data-based distributions used in probability and statistics. The distribution of unusual occurrences is another name for the Poisson distribution. This is mostly used to forecast the likelihood of future events based on how frequently the past events occurred. It offers the chance that a specific number of events might happen during a particular time frame.
The formula for Poisson distribution is given below:
P(x) = (e^-x * m^x) / x!
Here we have,
flaws in a carpet tend to occur randomly and independently at a rate of one every 270 square feet
Given the dimensions of carpet = 7 feet × 12 feet
=> area of the carpet = 84 feet²
=> the expected mean of defects m = [1/270]*84 = 0.311
Now use the Poisson formula
P[x] = e^-m × m^x / x!
=> P(x = 0) = e^-(0.31) × 0.31^(0) / 0!
= (0.732 × 1)/1 = 0.732
Therefore,
The probability that a carpet that is 7 ft × 12 ft contains no flaws is 0.732
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PLS HURRY!!!Juan divided 12 jar of fish food into 7 equal parts. He feeds his fish one part each day.
What fraction of the jar of food will Juan will feed his fish each day?
Enter your answer as a fraction in simplest form by filling in the boxes.
Answer:1/14
Step-by-step explanation:He divides 1/2 of the jar into sevenths, but if he had the whole jar it would be fourteen parts because 2x7=14, or 14÷2=7
the idea that a large number of sample means or proportions will approximate a normal distribution, regardless of the distribution of the population from which they were drawn, is known as: random error simple random sample sample variance population variance central limit theorem
The Central Limit Theorem gives the idea that a large number of sample means or proportions will approximate a normal distribution, regardless of the distribution of the population from which they were drawn .
Central Limit Theorem : In probability theory , the Central Limit Theorem establishes that , in many situations , when independent random variables are summed up , their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed .
The Central Limit Theorem gives the idea that a large number of sample means or proportions will approximate a normal distribution, regardless of the distribution of the population from which they were drawn .
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what is the definition of pi
and multiply it to a decimal number
(any equation)[tex]\pi[/tex]
Pi written as 3.l4 and π in mathematics is the ratio for the diameter of a circle to the circumference of that circle. The value is unending
What is Pi?Pi, which is represented by the Greek letter p, or, is a shorthand for the ratio of a circle's diameter to its circumference. No matter how big the circle is, this ratio will always be equal to pi. The value of pi is about 3.14 in decimal notation.
We are to multiply Pi to any equation
let the equation be (20.5 + 3x)[tex]\pi[/tex]
pi is represented in numbers by 3.14
Hence we would have the equation to be of the form
(20.5 + 3x)3.14
multiply through the bracket
64.37 + 9.42x
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The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x = 82°
Step-by-step explanation:
The three angles of the triangle add up to 180°
x + 40° + 58° = 180°
x + 98° = 180°
subtract 98°
x = 82°
Answer:
x = 82°
Step-by-step explanation:
The sum of the internal angles of a triangle = 180°
58° + 40° + x° = 180°
98° + x° = 180°
x° = 180° - 98°
x° = 82°
What is x−16=−88? I don't know what it is
Answer:
x = -72
Step-by-step explanation:
So first you need to get x on its own, so you you need to get rid of -16 by adding +16 which you get 0.
so now x=-88
whatever you do on one side you do on the other, so add 16 to the other side (-88) so you get -72.
x = -72
so the answer is -72
Thank you <3