Answers
Answer:
Explanation:
To simplify a polynomial, we have to do two things: 1) combine like terms, and 2) rearrange the terms so that they're written in descending order of exponent.
First, we combine like terms, which requires us to identify the terms that can be added or subtracted from each other. Like terms always have the same variable (with the same exponent) attached to them. For example, you can add 1 "x-squared" to 2 "x-squareds" and get 3 "x-squareds", but 1 "x-squared" plus an "x" can't be combined because they're not like terms.
Let's identify some like terms below.
f(x)=−4x+3x2−7+9x−12x2−5x4
Here you can see that -4x and 9x are like terms. When we combine (add) -4x and 9x, we get 5x. So let's write 5x instead:
f(x)=5x+3x2−7−12x2−5x4
Let's do the same thing with the x-squared terms:
f(x)=5x+3x2−7−12x2−5x4
f(x)=5x−9x2−7−5x4
Now there are no like terms left. Our last step is to organize the terms so that x is written in descending power:
f(x)=−5x4−9x2+5x−7
Step-by-step explanation:
Related Questions
Which statement is true about the coordinates of points A and B?
Answers
Answer:
the 4th imagen math box
Step-by-step explanation: trust me pleses
Answer:
y/x of point A=y/x of point B
Step-by-step explanation:
make p the subject of the formula q - p = 3p + 5
Answers
Answer:
p=- 5-q/4
Step-by-step explanation:
i hope this is the answer
What is the volume of a cylinder, in cubic cm, with a height of 8cm and a base diameter of 14cm? Round to the nearest tenths place
Answers
Answer:
=1232cm^3
Step-by-step explanation:
Volume of a cylinder=πr^2h
Where r=radius=diameter/2=14/2=7 cm
h=height=8 cm given
π=22/7
Volume of cylinder=πr^2h
=22/7x7x7x8=154x8=1232cm^3
Answer:
1231.5
Step-by-step explanation: the other answer is wrong this is right
x + y = -2
transformed into y form
Answers
Answer:
y = - 2 - x
Step-by-step explanation:
Since x + y = - 2, In the other side, it would be...
y = - 2 - x
Hope this helps :)
Please mark me as Brainliest!! I gave you the right answer.
Shryia read a book cover to cover in a single session, at a constant rate. After reading for 1.5, point, 5 hours, she had 402 out of the total 480 pages left to read.
Answers
Answer:
y = -52x + 480
Step-by-step explanation:
Let us assume the number of pages left be x
And, the number of hours is x
According to the question
Data given is as follows
Number of hours 1.5 and 5
Total pages 480
Left pages 402
Based on the above information,
The computation is shown below;
Pages read by Shriya in 1.5 hours is
= Total pages in the book - left pages to read
= 480 pages - 402 pages
= 78 pages
And, there is 1.5 hours
So in one hour she read
= 78 pages ÷ 1.5 hours
= 52 pages per hour
So, the equation is
y = -52x + 480
Jason is buying burgers and fries for his family. Each burger costs $6 and each order of fries costs $4. He has a total of $36 to spend.
**a. Write an equation that represents this situation using x to represent the number of burgers purchased and y to represent the number of fries purchased.
** b. If Jason bought 2 burgers, how many fries did he purchase in order to spend all of his money?
Answers
Answer:
a) $6x+$4y=36
b) 6 fries
Step-by-step explanation:
b)$6(2)=12
36-12=24
24/4=6 fries
which is perpendicular to the line y=-3x-8y
Answers
Answer:
I believe the answer is y = -7/3x
Step-by-step explanation:
When you rearrange the equation, y = -3x - 8y, you will get -7y = -3x.
We want the equation to be equal to y by itself. So we divide -7 from both sides, giving us the equation y = 3/7x.
The graph that is perpendicular to y = 3/7x is it's reciprocal: y = -7/3x
Answer:
3
Step-by-step explanation:
Find the Slope of a Perpendicular Line
y = −3x − 8y
Rewrite in slope-intercept form.
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
y = mx + b
Move all terms containing y to the left side of the equation.
9y = −3x
Divide each term by 9 and simplify.
y = −(x/3)
Write in y = mx + b form.
y = -(1/3)x
Using the slope-intercept form, the slope is − (1/3)
m = -(1/3)
The equation of a perpendicular line to y = − (1/3)x must have a slope that is the negative reciprocal of the original slope.
[tex]m[/tex]perpendicular = [tex]-\frac{1}{-\frac{1}{3} }[/tex]
Simplify the result.
[tex]m[/tex]perpendicular = 3
Find the slope of the line that passes through (7,10) and (2,2)
Answers
Answer:
3/2
Step-by-step explanation:
The model below represents an equation.
2 long x tiles and 3 square 1 tiles = 3 long x tiles
Which represent like terms in the model of the equation?
2 long x tiles and 3 square 1 tiles
2 long x tiles and 3 long x tiles
3 long x tiles and 3 square 1 tiles
1 long x tile and 1 square 1 tile
Answers
Answer:
The answer is B
Step-by-step explanation:
If I got it right on edg, you'll get it right on edg, unless we are talking about two different questions--- which we are not. Same question, right answer.
Answer:
b
Step-by-step explanation:
bc i said
what is 18 divided by y
Answers
Answer: 0
Step-by-step explanation:
Is the unit rate of change for the linear function shown in the table?
Answers
What is the slope of the line through (-1, 4) and (1, -2)
Answers
Answer:
Slope = -3
Step-by-step explanation:
The slope is the change in y over the change in x
The slope formula is m=y₂-y₁/x₂-x₁ (y over x)
So, plug in your coordinates (the subscript represents the order in which your points are going to be subtracted in)
So, you would get m=-2-4/1-(-1)
Simplify (first subtract the top, then subtract the bottom)
This would get you to -6/2 (remember your rules: a negative and a negative makes a positive)
-6/2 would get you to -3
-3 is the answerFully simplify to one fraction.
x+3+3x/x+5
Answers
Answer:
[tex] \frac{4x + 3}{x + 5} [/tex]
Step-by-step explanation:
add x and 3x
Solve the equation |2x + 1| = 2(x + 1). Are there any extraneous solutions?
Answers
Answer:
[tex]x=-\frac{3}{4}[/tex]
Step-by-step explanation:
Simplify: -2 (8 - 6s + 11t - 3u)
Answers
Answer:
Step-by-step explanation:
-16 + 12s - 22t + 6u
When you graph a linear function, slope refers to the steepness of the line the function makes. The slope of this line is the same as the
of the linear function. The slope can be expressed as a decimal, fraction, or integer.
Answers
Answer:
you are the only person I can be of assistance to
Step-by-step explanation:
ok is the best friends to come in the medicine and the
36. Mrs. Moore bought one gallon of milk at
$3 per gallon, three loaves of bread at
$2 per loaf, one pound of cheese at $4 per
pound, and six cans of soup at two cans for
$3. What was the total cost of the food?
Answers
What is the product of -8/9 x -6/7
Answers
Answer:
16/21
Step-by-step explanation:
In the first fraction, the negative numerator and negative denominator cancel each other.
In the second fraction, the negative numerator and negative denominator cancel each other.
The equivalent equation is
8/9×6/7=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
8×6/9×7=48/63
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 48 and 63 using
GCF(48,63) = 3
4/8÷43/63÷3=16/21
Therefore:
−8/9× −6/7=16/21
What is the measure of angle x?
Answers
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Angles.
Applying, angle sum Property of a triangle and linear pair, we get as,
180°-107 = 73°
, now angle sum property,
=> 31+73+p = 180
=> p = 180-104
=> p = 76°
here, angle p = angle x, they are vertically opposite angles, hence,
x = 76°
hence
please answer eeeeeeeeeeeeeeeeeeeva
Answers
Answer:
35 students
Step-by-step explanation:
Find 25% of 500:
[tex]\frac{25}{100}[/tex] × [tex]\frac{500}{1} = \frac{12500}{100}[/tex] [tex]\frac{12500}{100} = \frac{125}{1} = 125[/tex]Find 18% of 500:
[tex]\frac{18}{100}[/tex] × [tex]\frac{500}{1} = \frac{9000}{100}[/tex] [tex]\frac{9000}{100} = \frac{90}{1} = 90[/tex]Find the difference:
125 - 90 = 35So, 35 more students prefer video games to bike riding.
I hope this helps!
Which equation best represents the relationship between x and y in the graph? please guys I need help.
Answers
Answer:
its a or y = -3/4x -3
Step-by-step explanation:
slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. the line intercepts at the y at point -3 so the y-intercept is -3 the slope is -3/4 and you just plug them into the slope intercept form
A six-sided die is tossed and a coin is flipped. What is the fractional probability that the die lands on an even number and the coin is heads?
Answers
Answer:
the die: 1/2, coin: 1/2
Step-by-step explanation:
There are 6 sides on a die and 6 numbers, 3 are even numbers which means 3/6. simplify it to get 1/2
there are 2 sides on a coin, one is heads. Therefore, the probability is 1/2
The fractional probability that the die lands on an even number and the coin is heads is [tex]\frac{1}{4}[/tex].
What is probability?"Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty."
Given, a die is tossed and a coin is flipped.
Therefore, the number of outcomes in case of die is 6 and the number of favorable outcomes is 3.
Hence, in case of the die, probability of getting an even number is P(A) = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex].
Again, the number of outcomes in case of the coin is 2 and the number of favorable outcomes is 1.
Hence, in case of the coin, probability of getting head is P(B) = [tex]\frac{1}{2}[/tex].
Now, the fractional probability that the die lands on an even number and the coin is heads is = P(A) × P(B) = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex].
Learn more about probability here: https://brainly.com/question/16484393
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The total length of a beach is 13.2 kilometers. If lifeguards are stationed every 0.6 kilometers, including one at the end of the beach, how many lifeguards will there be on the beach?
Answers
Answer:
22 including one at the end of the beach
Step-by-step explanation:
Total length of the beach = 13.2 kilometers
If lifeguards are stationed every 0.6 kilometers, INCLUDING one at the end of the beach
Number of lifeguards in the beach = Total length of the beach / distance interval of each lifeguards
= 13.2 kilometers / 0.6 kilometers
= 22
Number of lifeguards in the beach = 22 including one at the end of the beach
Rena spent 6 days reading her book completing the same fraction of the book each day if she had a total of 8/9 of her book after 6 days what fraction of the book did she react each day
Answers
Answer:
The fraction of the book that Rena read every day is [tex]\frac{4}{27}[/tex]
Step-by-step explanation:
Rena spent 6 days reading her book completing the same fraction of the book every day and you want to know the fraction of the book she read each day. Knowing that Rena had a total of 8/9 of her book read after 6 days, then you simply divide the total amount of the book read during those days by 6, the number of days:
[tex]\frac{8}{9}[/tex]÷6
To divide a fraction by a whole number, you must convert the whole number into a fraction, finding the reciprocal of that fraction, and multiply it by the first fraction. That is, you must find the reciprocal of the number that is after the division symbol; and then you multiply the first number (the one before the division symbol) by the reciprocal of the second number (the one after the division symbol). Remember that to find the reciprocal of a number, you simply have to change the numerator and denominator of the number.
Since 6 can be considered to be a fraction equal to [tex]\frac{6}{1}[/tex], by inverting the number, then you get [tex]\frac{1}{6}[/tex]
Then:
[tex]\frac{8}{9}[/tex]÷6= [tex]\frac{8}{9} *\frac{1}{6}[/tex]
Now you multiply the numerators and denominators of the fraction to get the new numerator and denominator of the final solution.
[tex]\frac{8}{9}[/tex]÷6= [tex]\frac{8}{9} *\frac{1}{6}=\frac{8*1}{9*6} =\frac{8}{54}[/tex]
Finally, simplifying the fraction:
[tex]\frac{8}{9}[/tex]÷6= [tex]\frac{8}{9} *\frac{1}{6}=\frac{8*1}{9*6} =\frac{8}{54}=\frac{4}{27}[/tex]
So:
[tex]\frac{8}{9}[/tex]÷6= [tex]\frac{4}{27}[/tex]
The fraction of the book that Rena read every day is [tex]\frac{4}{27}[/tex]
KONG
The population of Kingsfield grew from 5,400 people to
7,200 people in one year. During the same time, the
population of Queensville dropped from 24,000 people to
19,600 people. If these rates continue, how many years
before the two towns have the same population?
Answers
Answer:
The population of a town grew from 20,000 to 28,000. The continuous growth rate is 15%. The equation represents the situation, where t is the number of years the population has been growing. About how many years has the population of the town been growing? Use a calculator and round your answer to the nearest whole number.
I found some info on a Quiz maybe this can help a bit
Have a Nice Day!
PLSSS DUE IN 8 MINS.
Answers
Answer:
1, 148, 149.
your welcome
Answer:
E,B,F≥150
Step-by-step explanation:
150≥150
152≥150
151≥150
Elena mixes 5 cups of apple juice with 3 cups of sparkling water to make sparkling apple juice. For a party, she wants to make 35 cups of sparkling apple juice. How much of each ingredient should Elena use? Explain or show your reasoning.
Answers
Answer:
25 cups of apple juice and 10 sparkling water
Step-by-step explanation:
There are 7 cups of sparkling juice in each batch, since 5 + 2 = 7. То make 35 cups Elena will need 5 batches since 5 x 7 = 25. 5 batches mean 25 cups of apple juice and 10 cups of sparkling water
(brainliest?)
Pleaseeeee helpppp xxx
Answers
(-4,-2)
Answer:
(-4, -2)
Step-by-step explanation:
(x, y)
You plug in the number where x is, so that’s going to be -4.
You plug in the number where y is, so that’s going to be -2.
I hope this helps some!
find the exponential function that satisfies the given conditions:
-initial value: 56
-decreasing at a rate of 0.42% per week
Multiple choice: possible answers ⬇️
Answers
Answer:
d
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
Hope this helps! Consider brainiest!
Kevin hopes to earn a college basketball scholarship.To improve his shooting skills Kevin shoots 50 baskets./day.If Kevin shoots 50 baskets every day for 60 days how many shots would Kevin take
Answers
In sixty days, assuming that Kevin shoots exactly fifty baskets everyday, he'd have shot 3,000 baskets. (multiply 60 x 50 = 3,000)
Hope this helps: If it did, please mark brainliest, give a thanks, and rate it five stars! [I'm two brainliests away from moving up!] Have an amazing rest of your day and stay safe! Let me know if you need anymore help! xx