Evaluate − 7 w + 2 p for w = − 2 and p = − 6
Answers
The simplification of the given expression − 7 w + 2 p is 2.
What is the multiplication rule for negative integers?Negative integers have been real integers less than zero. For instance, 147 and 4 are negative integers, but 0.4181554... and 10 are not; the former is a negative number yet not an integer, whereas the latter is a positive integer.
There are two simple points to remember: When a negative number is multiplied by a positive number, the product has always been negative. When two negative numbers as well as two positive numbers are multiplied, the product has always been positive.The given expression is;
= - 7 w + 2 p
The for the variables is given;
w = − 2 and p = − 6
put the values in the expression;
= -7(-2) + 2(-6)
Th multiplication of 2 negative will be positive while one positive one negative will give negative number only.
Thus,
= 14 - 12
Simply subtract;
= 2
Therefore, the result of the given expression is 2.
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Related Questions
7 7/8 - 3 1/4 =? What’s the answer
Answers
Answer:
4 5/8
Step-by-step explanation:
7 7/8= 63/8
3 1/4= 13/4= 26/8
63/8 - 26/8= 37/8
37/8= 4 5/8
Please help, I’ll mark your answer as brainliest.
Answers
Loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.
What is a sound wave?When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disturbance known as a sound wave that propagates away from the sound source.
When an object vibrates, sound waves are produced that are similar to pressure waves, like when a phone rings.
Pitch, intensity, and timbre are three key components of the field of sound psychology or psychoacoustics. People can distinguish the harmonics of a complex periodic sound wave under certain conditions thanks to the way that humans perceive sound and music.
Thus, loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.
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What is the meaning of conditionally promoted in school
Answers
Please help me the question
Answers
The polynomials completely factorized have the following expressions;
50). x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)
51). x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)
52). x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)
53). x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)
How to factorise the polynomials completelyFor the polynomial x³ - 3x² - 26x - 12 divisible by x - 6;
(x³ - 3x² - 26x - 12)/(x - 6) = x² + 3x + 2
x² + 3x + 2 = (x + 1)(x + 2)
so;
x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)
For the polynomial x³ - 12x² + 12x + 80 divisible by x - 10;
(x³ - 12x² + 12x + 80)/(x - 10) = x² - 2x - 8
x² - 2x - 8 = (x + 2)(x - 4)
so;
x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)
For the polynomial x³ - 18x² + 95x + 126 divisible by x - 9;
(x³ - 12x² + 12x + 80)/(x - 9) = x² - 9x + 14
x² - 9x + 14 = (x - 2)(x - 7)
so;
x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)
For the polynomial x³ - x² + 21x + 45 divisible by x + 5;
(x³ - x² + 21x + 45)/(x + 5) = x² - 6x + 9
x² - 6x + 9 = (x - 3)(x - 3)
so;
x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)
Therefore, by complete factorization the expressions (x - 6)(x + 1)(x + 2), (x - 10)(x + 2)(x - 4), (x - 9)(x - 2)(x - 7), and (x + 5)(x - 3)(x - 3) are the factors of their respective polynomial.
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Select the correct answer.
Evaluate the following expression when x = -4 and y = 4.
x
6
−
x
4
y
A.
1
,
025
4
B.
1
,
023
4
C.
16
,
385
4
D.
−
1
,
023
4
Answers
Answer:
1023/4
Step-by-step explanation:
shown in the picture
need help i dont understand
Answers
Answer:
Step-by-step explanation:
it would be "c" because the question asks for the number that makes the inequality true
4x≤ x+3
the graph in c is saying that every number that is 1 or less than 1 makes the inequality true. so lets take -7 as an example
4 x -7=-28
-28+3=-25
-25 is greater than -28 so the inequality is true. the reason why graph d doesnt work is because if we plug in 2 into the equation, then 4x =8 and x+3=5
5 is not greater than 8 so it doesnt work
Barry and Robin walk to Dunkin' Donuts each Saturday to meet for coffee and donuts. Barry walks the 2 miles from his house in 30 minutes and Robin walks the 3miles from his house in 36 minutes.a. Find the unit rate in minutes per mile for Barry.b. Find the unit rate in minutes per mile for Robin.c. Who walks faster, Barry of Robin?Each answer must be explained in detail using the correct vocabulary to receive full credit.
Answers
The formula for calculating the speed of both Barry and Robin is given as:
\(\text{Speed}=\frac{Distance(miles)}{\text{Time(hr)}}\)For Barry:
Distance covered = 2 miles
Time taken = 30 minutes = 0.5 hr
The unit rate in minutes per mile is given as:
\(\begin{gathered} \text{Unit rat}e=\frac{Time}{Dis\tan ce\text{ covered}} \\ \text{Unit rate=}\frac{30\min }{2miles} \\ \text{Unit rate=15min/mile} \end{gathered}\)Hence the unit rate in minutes per mile for Barry is 15min/mile
For Robin:
Distance covered = 3 miles
Time taken = 36 minutes
The unit rate in minutes per mile
\(\begin{gathered} \text{Unit rate=}\frac{36\min utes}{3miles} \\ \text{Unit rate=12min/mile} \end{gathered}\)Hence the unit rate in minutes per mile for Robin is 12min/mile
Since Robin covered 1 mile in 12minutes (less time than Barry), hence Robin walks faster
Write the slope of tangent and normal to the curve y=f(X) at (x1,y1).
Answers
The slope of the tangent line is:
a = (df(x1)/dx)
The slope of the normal one is:
a' = -1/(df(x1)/dx)
How to find the slope of the tangent line?For any function y = f(x), we define the slope of the tangent line at the point x as the derivative evaluated in x.
So if we want to find the slope of the tangent line at the point (x1, y1), we just need to differentiate and evaluate in x1, then the slope will be given by:
df(x1)/dx
And the normal slope is the slope of the perpendicular line, two slopes are perpendicular if the product is -1, then:
a*(df(x1)/dx) = -1
a = -1/(df(x1)/dx)
Where df/dx reffers to the derivative of f(x).
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Answer 2x4 pls ITS FOR A TEST PLS ANSWER ILL MARK U BRAINLYEST
Answers
Answer:
2x4 is 8
Step-by-step explanation:
4 to times so 4+4 =8 thx
Place the digits 1, 2, 3, 4, and 5 in these circles so that the sums across and
vertically are the same. Describe the strategy you used to find your
solution(s).
O
OOO
O
(————>^these are the circles I hope you understand
Answers
Answer:
1 (5)
3 4(2) 2(4)
5 (1)
Step-by-step explanation:
1 5
3 2 4 or 3 4 2
5 1
or
5 1
3 2 4 or 3 4 2
1 5
Evaluate the function f(p) = p2 + 3p + 1 for p = -2.
Answers
The result of the function f(p) = \(p^2\) + 3p + 1 for p = -2 is -1
The function is
f(p) = \(p^2\) + 3p + 1
The function is the expression that represents the relationship between the one variable and another variable. If one variable is dependent variable then the another variable will be independent variable.
The values of p = -2
Substitute the value of p in the function and find the solution
f(p) = \(p^2\) + 3p + 1
f(-2) = \((-2)^2\) + 3×-2 + 1
f(-2) = 4 - 6 + 1
f(-2) = -1
Hence, the result of the function f(p) = \(p^2\) + 3p + 1 for p = -2 is -1
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Give five elements of the following sets.
A = {different land forms}
B = {x/x is a prime number greater than 20 but less than 50}
C = {even number less than 20}
D = {fraction less than 1}
E = {noun that starts with letter "a"}
Answers
Answer:
Find the answer below.
Step-by-step explanation:
1. A = {mountain, valley, plateau, plains and hills}
A landform refers to a geomorphic or natural feature of the Earth's surface, which typically makes its terrain.2. B = {23, 29, 31, 37 and 41}
A prime number can be defined as any number that is greater than one (1) and can only be divided by itself or one (1). In this case, they are greater than 20 but less than 50.3. C = {2, 4, 8, 10 and 12}
An even number can be defined as any number that can be divided by two (2) without any remainder. In this instance, they should be between one (1) and twenty (20).4. D = {2/3, 1/2, 3/4, and 1/5}
A fraction that is less than one (1) refers to a proper fraction. Therefore, proper fractions must have the value of their numerator to be less than the value of their denominator.5. E = {ant, angel, angle, anaconda, and ark}
A noun can be defined as the name of any place, people, animal or things. In this context, the nouns should all start with the letter "a."60 cars to 24 cars The percent of change is
Answers
We can calculate the percent of change by means of the following formula:
\(change=\frac{x2-x1}{x1}\times100\)Where x2 is the new value and x1 is the original value.
In this case, we go from 60 to 24, then the original value (x1) was 60 and the new value (x2) is 24, by replacing these values into the above equation, we get:
\(change=\frac{24-60}{60}\times100=-60\)Then, the percent of change equals -60%
A small store sells spearmint tea at $3.15 an ounce and peppermint tea at $5.01 per ounce. The store owner decides to make a batch of 93 ounces of tea that mixes both kinds and sell the mixture for $3.80 an ounce. How many ounces of the two varieties of tea should be mixed to obtain the same revenue as selling them unmixed?
Answers
The no. of ounce of spearmint tea is = 60.50 ounce
the no. of ounce of peppermint tea is = 32.49 ounce
We have been given that -
Cost of spearmint tea = $3.15
Cost of peppermint tea = $5.01
Cost of the mixture = $3.80
solution-
Let the quantity of spearmint tea = x ounce
and the quantity of peppermint tea = y ounce
1 ounce quantity contains spearmint tea and peppermint tea =
(x+y=1) ......eq (1)
the cost
($3.15)x +($5.01)y = $3.80
3.15x + 5.01y = 3.80......... eq(2)
multiply equation (1) with 3.15.
∴ 3.15x +3.15y =3.15
using alligation..
Alligation: It is the rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of the desired price.
substract equation (1) and equation (2)
(3.15x + 5.01y = 3.80) -(3.15x +3.15y =3.15)
After solve the equations we get
1.86y = o.65
y = 0.65/1.86
y = 0.349462... per ounce
put the value of y in equation (1)
x +y= 1
x = 1-y
x = 1-0.349462
x = 0.650538 per ounce
So the quantity of spearmint tea = 93 ×x per ounce
93 ×0.650538
60.50 ounce
and the quantity of peppermint tea = 93×y per ounce
93× 0.349462
32.49 ounce
hence, the no. of ounce of spearmint tea is = 60.50 ounce
the no. of ounce of peppermint tea is = 32.49 ounce
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What is the surface area of this figure?
Enter your answer in the box.
ft²
Complex solid composed of a triangular prism and a rectangular prism. The triangular prism is centered on the top of the rectangular prism. The rectangular prism bottom face is labeled 19 ft and 9 ft. The height of the rectangular prism is labeled 11 ft. The triangular base has an altitude drawn and labeled 12 ft. The sides of the triangle are labeled 13 ft, 13 ft, and 10 ft. The height of the rectangular prism is 9 ft.
Answers
The surface area of this figure will be 991 square feet.
What is Surface Area?The area of a plane region or plane field refers to the area of a shape or planar substance, whereas surface area refers to the area of an open surface or the boundary of a multi-object.
A complex solid made out of triangular and rectangular prisms. The triangular prism is centred on the top of the rectangular prism.
The surface area of the shape is given as,
SA = 2(19 x 11 + 11 x 9) + 19 x 9 + 10x 9 + 13 x 12 + 13 x 12
SA= 2(209) + 171 + 90 + 156 + 156
SA = 418 + 171 + 90 + 312
SA = 991 ft²
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Nemo can make a monthly payment of $565 for a car. If the annual interest rate he
qualifies for is 9% for 4 years, what price could he afford for the car?
Answers
Answer:$ 24,679.20 or 514.15 a month
Step-by-step explanation: 565(.09) is 50.85 which needs to be deducted from the payment of 565 because he needs to be able to pay for interest. 514.15 is then multiplied by 48 months which will bring you to 24,679.20
Rewrite the quadratic function in standard form.f(x) = 3x2 − 4xf(x) = Give the vertex.(x, y) =
Answers
Given the quadratic equation expressed as:
\(f(x)=3x^2-4x\)Factor out 3 from the expression
\(f(x)=3(x^2-\frac{4}{3}x)\)Complete the square of the expression in bracket
\(\begin{gathered} f(x)=3(x^2-\frac{4}{3}x+(\frac{1}{2}\cdot\frac{4}{3})^2-(\frac{1}{2}\cdot\frac{4}{3})^2) \\ f(x)=3(x^2-\frac{4}{3}x+(\frac{2}{3})^2-(\frac{2}{3})^2) \\ f(x)=3(x^2-\frac{4}{3}x+(\frac{2}{3})^2-\frac{4}{9}) \\ f(x)=3(x-\frac{2}{3})^2-3(\frac{4}{9}) \\ f(x)=3(x-\frac{2}{3})^2-\frac{4}{3} \\ \end{gathered}\)Since the vertex form of a quadratic equation is in the form f(x) = a(x-h)^2+k where (h, k) is the vertex.The vertex of the resulting function is (2/3, -4/3)
Student Enrollment
The enrollment at a local college has been decreasing linearly. In 2004, there where 975 students enrolled. By
2009, there were only 730 students enrolled. Determine the average rate of change of the school's enrollment
during this time period, and write a sentence explaining its meaning.
The average rate of change=
The enrollment at the college has been [Select an answer at a rate of
Select an answer v
Answers
The average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.
To determine the average rate of change of the school's enrollment during the given time period, we can use the formula:
Average rate of change = (Change in enrollment) / (Change in time)
The change in enrollment is calculated by subtracting the initial enrollment from the final enrollment, while the change in time is calculated by subtracting the initial year from the final year.
Given that in 2004 there were 975 students enrolled and in 2009 there were 730 students enrolled, we can calculate the change in enrollment:
Change in enrollment = 730 - 975 = -245 students
The change in time can be calculated as:
Change in time = 2009 - 2004 = 5 years
Now we can calculate the average rate of change:
Average rate of change = (-245 students) / (5 years) = -49 students per year
Therefore, the average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.
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Given congruent triangles ΔABC ≅ΔDEF where AB = 11, BC = 5, and DE = 6x-7. Find the value of x.
Answers
Answer: Congruent angles are angles that have the same measure. ... y = 67 x = 180 – 67 = 113. 2. x = ______ y = ______. 3x – 5 = 127. +5 +5. 3x = 132 ... Find the measure of the angle and give the reason for knowing it. ... Solve for the unknown values: ... 2) AD. 3) AB. 4) BC. 24. In ΔABC, If CA ≅ CB and m∠A = 50, find the m∠B.
Answer:
x = 3
Step-by-step explanation:
Since the triangles are congruent then corresponding sides are congruent, that is
DE = AB , substitute values
6x - 7 = 11 ( add 7 to both sides )
6x = 18 ( divide both sides by 6 )
x = 3
xw is the perpendicular bisector of zy find the value of x in the length of wy
Answers
The two triangles WXZ and WXY are congruent by SAS because ZX = YX and WX is a common side and angle WXZ= angle WXY = 90 degrees.
So, by CPCT, WZ = WY.
\(\begin{gathered} 2x+11=4x-5 \\ 2x-4x=-5-11 \\ -2x=-16 \\ x=8 \end{gathered}\)Thus, x = 8.
Write an equation for the line parallel to the line -7x - 7y= 7 through the point (-1,2)
Answers
Answer:
\(y=-x+1\)
Step-by-step explanation:
Slope-Intercept Formula:It helps to write the equation in slope-intercept formula to find the slope of an equation in the form: \(y=mx+b\) where "m" is the slope of the equation. We can take the equation given: \(-7x-7y=7\) and solve for "y" to get the equation in slope-intercept form:
\(-7x-7y=7\)
add 7x to both sides:
\(-7y=7x+7\)
Divide both sides by -7
\(y=-x-1\)
Now in this form we can tell that the coefficient of "x" (the m value) is our slope, which is -1. We need this slope to determine a parallel line as parallel lines share the same slope but different y-intercepts. So a general equation for a parallel line would be:
\(y=-x+b\text{ where b }\ne -1\)
We're given the point (-1, 2) and we can use it to solve for that "b" value.
We plug in -1 as x and 2 as y
\(2=-1(-1)+b\implies 2=1+b\implies 1=b\)
Now we just plug this into the general equation to get: \(y=-x+1\)
A patient is to receive medication at the rate of 0.35mg per kilogram of body weight. How many milligrams will you administer if the patient weighs 55kg? Round your final answer to 2 decimal places if necessary.
Answers
SOLUTION
Given the question in the question tab, the following are tge solution steps to answer the question.
STEP 1: Write the given dosage
\(0.35=1kg\)STEP 2: Get the milligrams needed for 55 kg patient
\(\begin{gathered} 0.35mg=1kg \\ x\text{ mg}=55kg \\ \\ By\text{ cross multiplication,} \\ 0.35\times55=x\times1 \\ 19.25=x \end{gathered}\)Hence, the amount of drugs that will be administered is 19.25mg
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Sparkles the Clown makes balloon animals for children at birthday parties. At Bridget's party, she made 2 balloon poodles and 4 balloon giraffes, which used a total of 22 balloons. For Erik's party, she used 15 balloons to make 1 balloon poodle and 3 balloon giraffes. How many balloons does each animal require? Each poodle requires balloons and each giraffe requires balloons
Answers
Answer:
Each poodle requires 3 balloons and each giraffe requires 4 balloons.
Explanation:
Let's call x the number of balloons that each poodle requires and y the number of balloons that each giraffe requires.
If at Bridget's party, she used 22 balloons for 2 poodles and 4 giraffes, then we can write the following equation:
2x + 4y = 22
And if at Erik's party, she used 15 balloons for 1 poodle and 3 giraffes, we can write the second equation:
x + 3y = 15
Then, the system of equation is:
2x + 4y = 22
x + 3y = 15
Now, we can solve the second equation for x:
x + 3y = 15
x + 3y - 3y = 15 - 3y
x = 15 - 3y
Then, substitute x = 15 - 3y on the first equation and solve for y as:
2x + 4y = 22
2(15 - 3y) + 4y = 22
2(15) - 2(3y) + 4y = 22
30 - 6y + 4y = 22
30 - 2y = 22
30 - 2y - 30 = 22 - 30
-2y = -8
-2y/(-2) = -8/(-2)
y = 4
Finally, the value of x is equal to:
x = 15 - 3y
x = 15 - 3(4)
x = 15 - 12
x = 3
Therefore, each poodle requires 3 balloons and each giraffe requires 4 balloons.
MAKING AS BRAINLIEST!! Complete each congruent statement
Answers
Answer:
For the question, we are looking at two congruent triangles (as marked by ≅). They give us three lines and ask us to find the congruent segment on the opposite triangle.
Things to remember:
ΔBCD ≅ ΔUWV
This means UW is ≅ to BC.
VU is ≅ to DB and,
WV is ≅ to CD.
The next one is as follows.
ΔKML ≅ Δ LUS
This means MK is ≅ to SL
KL is ≅ to LU and,
LM is ≅ US.
Step-by-step explanation:
hope this helps. . .<3
good luck! UwU
how many ways can you divide 9 children into a team of 4, a team of 3, and a team of 2?
Answers
Answer:
1260 ways
Step-by-step explanation:
We want to arrange n people into x roles.
\(m_{0}\) is the number of people for the first role.
\(m_{1}\) is the number of people for the second role.
\(m_{x}\) is the number of people for the xth role.
The total number of arrangents is:
\(T = \frac{n!}{m_{0}!m_{1}!...m_{x}!}\)
In this question:
9 people
Team of 4
Team of 3
Team of 2
How many ways:
\(T = \frac{9!}{4!3!2!} = 1260\)
SOMEONE ANSWER THIS PLEASEEE
Answers
Answer:
Step-by-step explanation:
It's either 0 or 3.
Hope it helps!!
Answer:
2 you are just going to take the two negative numbers and subtract it or It can be 1 because 1x(1) =1
Step-by-step explanation:
I need help with the homework problem
Answers
The magnitude of both angle [b] and [c] is 38 degrees.
What is geometry?The branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogues.
Given are intersecting lines.
We can write -
2(c + 142) = 360
c + 142 = 180
c = 38
and
b = c = 38 {vertically opposite angles}
Therefore, the magnitude of both angle [b] and [c] is 38 degrees.
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A grocery store sells a bag of 6 oranges for $4.20. If ayden spent $2.80 on oranges,how many did he buy?
Answers
Explanation:
4.20 divided by 6 will give you 0.7
0.7 times 4 gives you 2.8
y=9/4×2
sketch the graph of f and f on the same set of axes
Answers
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
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How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answers
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.