adding and subtracting polynomials find each sum or differenceplease do minimum steps
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Solve the sums or differences between similar terms.
[tex]\begin{gathered} 5ax^2+3ax^2+3a^2x-5ax-5x+7x \\ 8ax^2+3a^2x-5ax+2x \end{gathered}[/tex]Related Questions
write 2/5% as a fraction in simplest terms 1/82/51/250
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where:
0.4% = 0.4/100 = 0.004
so:
[tex]\frac{0.004}{1}\times\frac{1000}{1000}=\frac{4}{1000}=\frac{1}{250}[/tex]what are the 5 steps to solve equation
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This are the 5 steps when solving a linear equation
1. We need to perform any distribution
2. Combine terms that are the same
3. Get all the variable on the same side by substracting or adding terms on both sides of the equation
4. Isolate the variable term performing substractions or addition for the constants
5. Isolate the variable by dividing each side of the equation by the coeffitient of the variable.
I need help with this question. I got it wrong so now I have to go over it and fix it.
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We know that:
The following property holds:
[tex]x=\frac{a+b}{2}[/tex]Now, from the figure of the problem, using the previous property we say that:
[tex]\angle\text{AEC }=\frac{AC+BD}{2}[/tex]But:
[tex]\begin{gathered} AC=110 \\ BD=40 \end{gathered}[/tex]Finally:
[tex]\begin{gathered} \angle\text{AEC }=\frac{110+40}{2}=\frac{150}{2} \\ \therefore\angle\text{AEC }=75\degree \end{gathered}[/tex]Need help on part c of this problem, thank you in advance.
Answers
The solution in interval notation is [-3, -2]
STEP - BY - STEP SOLUTION
What to find?
The solution of the given inequality in interval notation.
Given:
4(x+3) ≥ 0 or 4(x + 4) ≤ 8
Solve the first part of the inequality.
That is;
4(x+3)≥ 0
Open the parenthesis.
4x + 12 ≥ 0
Subtract 12 from both-side of the inequality.
4x + 12 - 12 ≥ 0- 12
4x ≥ -12
Divide both-side of the inequality by 4
[tex]\frac{\cancel{4}x}{\cancel{4}}\ge-\frac{12}{4}[/tex]x ≥ -3
Proceed to solve the second part of the inequality.
4(x+ 4) ≤ 8
Open the parenthesis.
4x + 16 ≤ 8
Subtract 16 from both-side of the inequality.
4x ≤ 8-16
4x≤ -8
Divide both-side of the inequality by 4
[tex]\frac{\cancel{4}x}{\cancel{4}}\leq-\frac{8}{4}[/tex]x ≤ -2
Combine the solutions.
-3 ≤ x ≤ -2
This can be written in interval notation as [-3, -2].
if Jenny have four apples and divide 16 how many apples she have first ?
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Given:
Jenny has four apples and divides 16
So, 4 + 16 = 20
So, she had from the beginning 20 apples
The binomial (x + 5) is a factor of x2 + 8x + 15. What is
the other factor?
2
+x
+x
(x + 3)
(x + 7)
(x + 12)
(x + 13)
+
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Let's factor the polynomial:
[tex]x^2+8x+15\rightarrow(x+5)(x+3)[/tex]Thereby, the other factor is:
[tex](x+3)[/tex]12=1 (mod 11) and 21
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Use fraction models to solve four three sixths plus two and two thirds equals blank. six and three eighteenths seven and three eighteenths seven and six eighteenths five and five elevenths
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Peggy filled her van's gas tank and noted that the odometer read 24,563.3. After the next fill-up. it read 24,937.8. It took 17.5 gal to fill the tank. How many miles per gallon did the van get? Enter your answer in the answer box.
Answers
Answer:
The van gets;
[tex]21.4\text{ miles per gallon}[/tex]Explanation:
Given that Peggy filled her van's gas tank and noted that the odometer read 24,563.3;
[tex]d_1=24,563.3\text{ miles}[/tex]After the next fill-up. it read 24,937.8;
[tex]d_2=24,937.8\text{ miles}[/tex]The change in distance travelled is;
[tex]\begin{gathered} \Delta d=d_2-d_1 \\ \Delta d=24,937.8-24,563.3 \\ \Delta d=374.5\text{ miles} \end{gathered}[/tex]The amount of fuel it took is;
[tex]f=17.5\text{ gal}[/tex]The measure of its miles per gallon is;
[tex]\begin{gathered} r=\frac{\Delta d}{f} \\ r=\frac{374.5}{17.5} \\ r=21.4\text{ miles per gallon} \end{gathered}[/tex]Therefore, the van gets;
[tex]21.4\text{ miles per gallon}[/tex]Two angles form a linear pair. The measure of one angle is twice the measure of the other angle.I just mainly have one question, so it says “twice the measure of the other angle”, does that mean I would multiply it by the two angles that form a linear pair?
Answers
So, first, remember what happens when there's a linear pair of angles.
A linear pair is a pair of adjacent angles formed when two lines intersect, as we can see in the following graph:
Angle 1 and angle 2 form a linear pair.
If two angles form a linear pair, then the sum of the degree measures of the angles is 180°.
Based in your question, I think you mean this: (Let x be the angle and 2x be twice the measure of the angle x).
If the problem tells us that two angles form a linear pair, we know that one of both angles will measure "x" degrees. The problem also tells us that the measure of the other angle is twice the first one, so it is 2 times "x", which is 2x.
So, now we could write:
[tex]\begin{gathered} x+2x=180 \\ 3x=180 \\ x=60 \end{gathered}[/tex]So the measure of the first angle is 60°. As we know, the measure of the second one is twice the first, so it is 2(60°), which is 120°.
13. Jada is making lasagna and pizzaslarge party, Her lasagna recipe calls for 13cups of tomato paste, and her pizza recipeusescup of tomato paste per pizza. Shewill double her lasagna recipe and make 5pizzas. Write and evaluate an expression forhow many cup cans of tomato paste shewill need in all.
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We need 1 1/4 cups for each lasagna recipe and we need 1/2 cups for each pizza.
She will double her lasagna recipe (like she will make 2 of them) and make 5 pizzas.
Then, we can calculate how many cups we need as:
[tex]\begin{gathered} (1+\frac{1}{4})L+\frac{1}{2}P \\ (1+\frac{1}{4})\cdot2+\frac{1}{2}\cdot5 \\ \frac{5}{4}\cdot2+\frac{1}{2}\cdot5 \\ \frac{10}{4}+\frac{5}{2} \\ \frac{10+5\cdot2}{4} \\ \frac{10+10}{4} \\ \frac{20}{4} \\ 5 \end{gathered}[/tex]L: number of lasagna recipe, P: number of pizzas.
We need 5 cups of tomato paste.
Calculate the sum -8+(-7)
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ANSWER
EXPLANATION
Here we have to add two negative numbers. Since the operation is an addition and both numbers are negative, we can add them like we would add two positive numbers and then, add a negative sign to the result.
So, if we were adding 8 and 7, the result would be 15. Thus, adding -8 and -7 gives,
Write an equation for a function that has a graph with the given characteristics.The shape of y = |x| that has been stretch vertically by a factor of 8.The answer I wrote was y = |1/8 x| not sure if it's right or wrong
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When a function is being stretch vertically we multiply by a k factor in order to make the function bigger, now since we are talking about an absolute value function if we multiply the two lines tend to compress and be closer to each other.
The correct function should be
[tex]y=|8x|[/tex]which is represented by the blue line, and the red line is the parent function y=|x|
A motor car race is 500 miles long and consists of completing laps of a circular speedway that has a circumference of 2.5 miles. For which of these functions does y represent the number of miles a motor car has left to go in the race if x represent the number of laps completed by the motor car? PLEASE HELP ME PLEASE
Answers
Let
x -----> the number of laps completed by the motor car
y -----> the number of miles a motor car has left to go in the race
we have that
one lap is 2.5 miles
so
y=-2.5x+500
answer is option Bbecause
For x=0 y=500 (initial value)
its a decreasing function (slope negative)
The area of the table top in Cindy's kitchen is 9x^2-48x+64 square inches. What is the length of each side of the table in terms of x?____________________________
Answers
The area of a rectangular section is:
[tex]\text{length}\cdot\text{width}[/tex]Knowing this, we woudl have to take the expression given and put it as the product of two factors, in order to get the lenght and with in terms of x.
In other words, we need to factor the expression as following:
[tex]\begin{gathered} 9x^2-48x+64 \\ \\ \rightarrow\frac{81x^2-48(9x)+576}{9}\rightarrow\frac{(9x-24)(9x-24)}{3\cdot3}\rightarrow(3x-8)(3x-8) \end{gathered}[/tex]This way,
Length:
[tex]3x-8[/tex]Width:
[tex]3x-8[/tex]A laptop computer that you want to purchase was originally priced at $1,650. You will receive a 15% student discount, and the sales tax rate is 7%. How much money will you pay for the laptop?
Answers
Original price = $1650
Discount = 15% of $1650 =
[tex]=\frac{15}{100}\times1650[/tex][tex]=247.5[/tex]Discount = $247.5
Price - discount = $1650 - $247.5 = $1402.5
The sale tax is 7%
=
[tex]=\frac{7}{100}\times1402.5[/tex][tex]=98.175[/tex]Sale tax = $98.175
Amount pay = price + sale tax = $1402.5 + $98.175 =$1500.675
Under his cell phone plan, Owen pays a flat cost of $67.50 per month and $4per gigabyte. He wants to keep his bill at $71.90 per month. Write and solvean equation which can be used to determine g, the number of gigabytes ofdata Owen can use while staying within his budget.
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
$67.50 per month
$4 per gigabyte
total bill = $71.90 per month
g = ?
Step 02:
67.50 + g * 4 = 71.90
4g = 71.90 - 67.50
g = (71.90 - 67.50) / 4
g = 1.1
What is the volume of a sphere with a radius of 8?
Answers
To determine the volume of a sphere you have to use the following formula:
[tex]V=\frac{4}{3}\pi r^{3}[/tex]The given sphere has a radius with a length of 8cm, replace the formula above with r=8 to determine the volume:
[tex]\begin{gathered} V=\frac{4}{3}\pi(8^3) \\ V=\frac{4}{3}\cdot\pi\cdot512 \\ V=\frac{2048}{3}\pi \\ V\approx2144.66\approx2144.7\operatorname{cm}^3 \end{gathered}[/tex]The volume of the sphere is 2144.7cm³
The mean of the values in a data set is b. If each of the values in the data setwere multiplied by 8, what would be the mean of the resulting data?.A. 7bB. bC. 9bD. 8b
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SOLUTION:
We are told that;
The mean of the values in a data set is b.
When all the terms are multiplied by 8. This will result in;
[tex]New\text{ }Mean=\frac{\Sigma8x}{n}=8\frac{\Sigma x}{n}=8\text{ }Old\text{ }mean[/tex]Thus, the new mean will be 8b
Answer:
8b
Step-by-step explanation:
drag the tiles to the correct boxes to complete the pairs use this table to match the molecules with their estimated masses
Answers
We want to add the indicated atoms mass for each tile
H₂: 2 atoms of hydrogenSince each hydrogen atom's mass corresponds to
[tex]1.67\cdot10^{-24}[/tex]Then H₂:
[tex]\begin{gathered} H_2=2\cdot H \\ H_2=2\cdot1.67\cdot10^{-24} \end{gathered}[/tex]we multiply just the numbers without exponent:
[tex]\begin{gathered} H_2=2\cdot1.67\cdot10^{-24} \\ =3.34\cdot10^{-24} \end{gathered}[/tex]CO₂: 1 atom of carbon and 2 atoms of oxygenSimilarly, to the previous, we know that:
[tex]\begin{gathered} CO_2=C+2\cdot O \\ CO_2=1.99\cdot10^{-23}+2\cdot2.66\cdot10^{-23} \end{gathered}[/tex]First we multiply the numbers without exponent: 2 * 2.66:
[tex]\begin{gathered} 2\cdot2.66=5.32 \\ CO_2=1.99\cdot10^{-23}+5.32\cdot10^{-23} \end{gathered}[/tex]Now, we can add both terms:
[tex]\begin{gathered} CO_2=1.99\cdot10^{-23}+5.32\cdot10^{-23} \\ CO_2=(1.99^{}+5.32)\cdot10^{-23} \\ CO_2=7.31\cdot10^{-23} \end{gathered}[/tex]NO₂: 1 atom of nytrogen and 2 atoms of oxygenWe know that:
[tex]\begin{gathered} NO_2=N+2\cdot O \\ NO_2=2.32\cdot10^{-23}+2\cdot2.66\cdot10^{-23} \end{gathered}[/tex]We can see this is really similar to the previous one.
We follow the same procedure:
First we multiply the numbers without exponent: 2 * 2.66:
[tex]\begin{gathered} 2\cdot2.66=5.32 \\ NO_2=2.32\cdot10^{-23}+5.32\cdot10^{-23} \end{gathered}[/tex]Now, we can add both terms:
[tex]\begin{gathered} NO_2=2.32\cdot10^{-23}+5.32\cdot10^{-23} \\ NO_2=(2.32^{}+5.32)\cdot10^{-23} \\ NO_2=7.64\cdot10^{-23} \end{gathered}[/tex]NH₃: 1 atom of nytrogen and 2 atoms of hydrogenWe know that:
[tex]\begin{gathered} NH_3=N+3\cdot H \\ NH_3_{}=2.32\cdot10^{-23}+3\cdot1.67\cdot10^{-24} \end{gathered}[/tex]First we multiply the numbers without exponent: 3 * 1.67:
[tex]\begin{gathered} 3\cdot1.67=5.01 \\ NH_3=2.32\cdot10^{-23}+5.01\cdot10^{-24} \end{gathered}[/tex]For the first time we have two terms with different 10 power:
on one side 10⁻²³ and on the other 10⁻²⁴
We want both have the same because if they are different we cannot add them.
Then we want to transform
5.01 · 10⁻²⁴
Into
___ · 10⁻²³
We need to find that number
Since
[tex]10^{-1}\cdot10^{-23}=10^{-24}[/tex]Then
[tex]5.01\cdot10^{-1}\cdot10^{-23}=5.01\cdot10^{-24}[/tex]We know that
[tex]\begin{gathered} 10^{-1}=\frac{1}{10}=0.1 \\ \downarrow \\ 5.01\cdot10^{-1}=5.01\cdot0.1=0.501 \end{gathered}[/tex]Then
[tex]5.01\cdot10^{-24}=5.01\cdot10^{-1}\cdot10^{-23}=0.501\cdot10^{-23}[/tex]Then, getting back to our equation for NH₃, we have that:
[tex]\begin{gathered} NH_3=2.32\cdot10^{-23}+5.01\cdot10^{-24} \\ NH_3=2.32\cdot10^{-23}+0.501\cdot10^{-23} \end{gathered}[/tex]Now, we can add normally as we did on the previous molecules:
[tex]\begin{gathered} NH_3=2.32\cdot10^{-23}+0.501\cdot10^{-23} \\ NH_3=(2.32+0.501)\cdot10^{-23} \\ NH_3=2.821\cdot10^{-23} \end{gathered}[/tex]Answer:[tex]\begin{gathered} H_2=3.34\cdot10^{-24} \\ CO_2=7.31\cdot10^{-23} \\ NO_2=7.64\cdot10^{-23} \\ NH_3=2.821\cdot10^{-23} \end{gathered}[/tex]Two lines perpendicular to the same plane areA. CoplanarB. Coinciding LineC. Perpendicular to Each OtherD. Equivalent
Answers
Two lines perpendicular to the same plane are coplanar.
what is the mean of, 50, 30, 40, 10, 20, 80, 60, 90, 10, 30, 110, 70?
Answers
Given:
[tex]50,30,40,10,20,80,60,90,10,30,110,70.[/tex]To find:
The mean
Explanation:
The formula for mean is,
[tex]Mean=\frac{Sum\text{ of the observations}}{Total\text{ number of observations}}[/tex]On substitution we get,
[tex]\begin{gathered} Mean=\frac{50+30+40+10+20+80+60+90+10+30+110+70}{12} \\ =\frac{600}{12} \\ =50 \end{gathered}[/tex]Thus, the mean is 50.
Final answer:
The mean is 50.
Multiply the polynomials.(x+2)(2x² + 9x+8)OA. 16x³+72x² + 46x-16OB. 2x³ + 13x²2 - 26x+16OC. 2x³ +17x² +22x+16OD. 2x³ + 13x2+26x+16
Answers
SOLUTION:
Case: Polynomials
Method:
[tex]\begin{gathered} (x+2)(2x^2+9x+8) \\ x(2x^2+9x+8)+2(2x^2+9x+8) \\ 2x^3+9x^2+8x+4x^2+18x+16 \\ 2x^3+9x^2+4x^2+8x+18x+16 \\ 2x^3+13x^2+26x+16 \end{gathered}[/tex]Final answer:
[tex]2x^{3}+13x^{2}+26x+16[/tex]Can you help me with this?The second box says Likely and Unlikely
Answers
The probability is about 0.25, it is unlikely to take more than a week
Explanation:The probability is 16/64 = 0.25
This probability is unlikely as it is between 0 and 1/2
An equilateral triangle sits atop the short side of a rectangle that measures 8 in. x 10 in. What is the perimeter of the entire figure? *36 in.44 in.52 in.60 in.64 in.
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what is x? how would i find the value of x?
Answers
Given:
Find-:
The value of "x"
Explanation-:
Use trigonometric property:
[tex]\sin\theta=\frac{\text{ Perpendicular}}{\text{ Hypotenuse}}[/tex]In triangle ABC
[tex]\begin{gathered} AB=\text{ Hypotenuse} \\ \\ BC=\text{ Perpendicular} \end{gathered}[/tex]Angle is "x"
[tex]\begin{gathered} \sin x=\frac{BC}{AB} \\ \\ \sin x=\frac{4}{19} \\ \\ x=\sin^{-1}(\frac{4}{19}) \\ \\ \end{gathered}[/tex]The angle "x" is:
[tex]\begin{gathered} x=\sin^{-1}(\frac{4}{19}) \\ \\ x=\sin^{-1}(0.2105) \\ \\ x=12.15^{\circ} \end{gathered}[/tex]The angle is 12.15
Use the words factor, product, quotient, and sum to describe the parts of 5-m - 2 - 8(m + n).
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The expression is:
[tex]5-m-2-8(m+n)[/tex]Has terms:
[tex]5,\text{ m, 2, 8(m+n)}[/tex]the products in the expression is:
[tex]8(m+n)[/tex]The sums are:
[tex]5-m-2-8(m+n)[/tex]the expression does not have quotients.
How much longer does an astronaut take to install a light than to install a cable
Answers
An astronaut is a person who has been prepared, outfitted, and sent into space as part of a human spaceflight program to serve as a commander or crew member.
How much more time does it take an astronaut to install a light than a cable?
The time an astronaut is a person who has been prepared, outfitted, and sent into space as part of a human spaceflight program to serve as a commander or crew member.
How much more time does it take an astronaut to install a light than a cable?
The time it takes to put on the unique undergarments that keep astronauts cool is included in the 45-minute period it takes to put on a spacesuit.
it takes to put on the unique undergarments that keep astronauts cool is included in the 45-minute period it takes to put on a spacesuit.
In the near future, pilot astronauts may pilot and command space shuttles as well as command missions to Mars or the moon. Astronauts with a focus on missions collaborate with pilots to launch satellites, conduct experiments, and repair spacecraft and equipment. Engineers, scientists, and doctors are all examples of mission experts.
To learn more about astronaut refer to:
https://brainly.com/question/24496270
#SPJ1
Solve for the equation for g: 2(g-h)=b+4
Answers
Name pairs of congruent sides Name pairs of congruent angles
Answers
Based on the given triangles, notice that adjacent side to angle 23 degrees in both triangles have a length of 12. The corresponding sides to this length are AB and ED.
Then, a pair of congruent sides is AB, ED
Now, consider that the same angle 23 is common to both triangles. These angles are
Then, a pair of congruent angles is