[tex]\text{The sum of given polynomials is } 8x^2+x+14[/tex]
Solution:
Given given expression to calculate is:
[tex](x^2+x+9) + (7x^2+5)[/tex]
We have to add both the polynomials
Addition of two polynomials involves combining like terms present in the two polynomials
We have to add like terms
Like terms means "the terms having same variable and same exponent"
And we have to add the constants
[tex]\rightarrow (x^2+x+9) + (7x^2+5)\\\\\text{Remove the parenthesis and simplify }\\\\\rightarrow x^2 + x + 9 + 7x^2 + 5\\\\\text{Combine the like terms }\\\\\rightarrow x^2 + 7x^2 + x + 9 + 5\\\\\text{Add the coefficients of like terms }\\\\\rightarrow 8x^2 + x + 9 + 5\\\\\text{Add the constants 9 and 5 }\\\\\rightarrow 8x^2 + x + 14[/tex]
Thus the polynomials are added
What is the solution for x in the equation -x + 3/7 = 2x - 25/7
Answer:
4/3
Step-by-step explanation:
-X + 3/7 = 2X - 25/7
2X + X = 3/7 + 25/7
3X = 28/7
3X = 4
X = 4/3
Answer:
4/3
Step-by-step explanation:
.
Paul has $35000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 8%
interest and part at 14% interest. How much does Paul need to invest in each option to make get a total 11% return on
his $35000?
Investing for 8% return: $
9
Investing for 14% return: $
B
Answer:
$17,500 at 8%$17,500 at 14%Step-by-step explanation:
The fraction that needs to be invested at the higher rate is ...
(11% - 8%)/(14% -8%) = 3%/6% = 1/2
Half the money should be invested at each of the rates:
$17,500 for 8% return
$17,500 for 14% return.
_____
If you let x represent the amount at the higher rate, then the total return is ...
14%x + 8%(35000 -x) = 11%(35000)
(14% -8%)x = (11% -8%)(35000) . . . . subtract 8%·35000
x = (11% -8%)/(14% -8%)×35000 . . . . divide by the coefficient of x
Note that this formula is exactly the one we started with, above.
Susan is drawing a triangle. The first segment she draws is 6 centimeters in length, and the second segment is 8 centimeters long. What must the third segment be to be able to create a triangle?
Group of answer choices
15
14
16
12
Answer:
14
Step-by-step explanation:
Because to make a triangle, if two sides of the triangle is added and is equal to the third side then the triangle can be made.
In this case one side is 6 cm and the other is 8cm, if added its 14 cm and it will make a triangle
Y=-2x on a graph line
Answer: Its gonna be a line going down to the right
Step-by-step explanation:
What is the answer to 6(4)
Find the sum:261+345+502
Answer:
1108
Step-by-step explanation:
1
261
345
502
------
1108
:)
how do i learn how to do divison without using a peice of paper, i wanna do it in my head, can i get some help?
Answer:I did lattice math over the summer in between 4th and 5th grade when I was bored and wanted to enjoy the sun and now I can do division in my head
Step-by-step explanation: go learn how to do lattice and then do it over and over again. Give yourself a prize time you do like 5 or something and do double digits to challenge yourself
Answer:
Abri do what i showed you on paper but in your head do the circles divide them into groups in your head ( also we are sister i am 13 she is younger i'm in 7th grade she is in 6th )
Step-by-step explanation:
What is the justification for step 2 in the solution process? 12 − x = 7x + 32 Step 1: -x = 7x + 20 Step 2: -8x = 20 A. the addition property of equality B. the division property of equality C. the subtraction property of equality D. the multiplication property of equality
Answer:
C. the subtraction property of equality
Step-by-step explanation:
Answer:
C. the subtraction property of equality
Step-by-step explanation:
4085 divided by 43 with work
Car A and car B are traveling opposite directions st the same speed. Car A drove for 17 minutes and car B drove for 32 minutes. Car B drove 12 miles more than car A. How fast were the cars driving?
Answer:
48 mph
Step-by-step explanation:
Car B drove for 32 minutes. Car A drove for 17 minutes.
32 - 17 = 15
Car B drove for 15 minutes more than car A.
Car B drove 12 miles more than car A.
That means that in 15 minutes, car B drove 12 miles.
speed = distance/time
15 minutes * (1 hour)/(60 minutes) = 0.25 hour
speed = (12 miles)/(15 minutes)
speed = (12 miles)/(0.25 hour)
speed = 48 miles/hour
Answer: 48 mph
If r = −6, s = −2, and t = −3 then evaluate –t(r – s).
Answer:
3(-6 + 2) = -12
Step-by-step explanation:
If a negative is multiplied by another negative we will have a positive, t is -3 and when a negative is in the way the equation is now 3(r - s).
S is - 2 with the negative in the way its now 3(r + 2) ad last r = -6 with no negative in the way the equation is now 3(-6 + 2) which equals 12.
Hope it helps.
Please consider marking brainliest. :)
Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will have in each case. 1.5% syrup?
Answer:
Ella should add [tex]32\dfrac{5}{6}[/tex] lbs of water.
Total weight of syrup [tex]33\dfrac{1}{3}[/tex] lbs
Step-by-step explanation:
Weight:
Weight of sugar = 0.5 lbs.
Weight of water added = x lbs
Total weight = 0.5 + x lbs
Percentage:
0.5 + x -- 100%
0.5 -- 1.5%
Write a proportion:
[tex]\dfrac{0.5+x}{0.5}=\dfrac{100}{1.5}[/tex]
Cross multiply:
[tex]1.5(0.5+x)=0.5\cdot 100\\ \\0.75+1.5x=50\\ \\1.5x=50-0.75\\ \\1.5x=49.25\\ \\x=\dfrac{49.25}{1.5}=\dfrac{4,925}{150}=\dfrac{197}{6}=32 \dfrac{5}{6}\ lbs[/tex]
Ella should add [tex]32\dfrac{5}{6}[/tex] lbs of water.
Total weight of syrup
[tex]32\dfrac{5}{6}+\dfrac{1}{2}=32\dfrac{5}{6}+\dfrac{3}{6}=33\dfrac{1}{3}\ lbs[/tex]
Answer:
Ella should add 32 5/6 lb of water, and she will have 33 1/3 lb of syrup.
Step-by-step explanation:
I need help with this
Answer:
with what
Step-by-step explanation:
How do you calculate y-intercept
Answer:
In the equation y = mx + c if we substitute the value of x as zero we will get a point on the y axis given by y =(m × 0) + c ⇒ y = c. Therefore the point of the line on the y axis is (0, c) and so c is also called the y intercept of the line.
Step-by-step explanation:
i) from the general equation of line we know that any line can be represented in the form y = mx + c , where m is a constant and is called the slope of the line and c is also a constant and is the y-intercept.
ii) In the equation y = mx + c if we substitute the value of x as zero we will get a point on the y axis given by y =(m × 0) + c ⇒ y = c. Therefore the point of the line on the y axis is (0, c) and so c is also called the y intercept of the line.
iii) If for example we have the line 3y = 6x + 12 then we first get this equation of the line to match the general form of the equation of the line, that is y = mx + c. Therefore dividing both the left and the right sides of the given equation of the line by 3 we get y = 2x + 4 which matches with the general form of the equation for line and we see that the slope of the given line is m = 2 and the y intercept is given by c = 4.
A dvd is marked down 15% the regular price is $12 what is the sale price?
15% off means the dvd is selling for 85% of the original price ( 100% - 15%=85%)
Multiply the original price by 85%
12 x 0.85 = 10.20
The price is $10.20
What is the value of x and y of the parallelogram?
Answer:
X=15
Y=45
Step-by-step explanation:
A multiple choice exam has 100 questions, each with 5 choices. If a student randomly guesses the answer to a question on the exam, what is the probability that he will get that answer correct?
Final answer:
The probability of a student guessing the correct answer on one multiple choice question with five possible choices is 20%. For specific targets, such as guessing more than 75% correctly, the binomial probability formula would be used.
Explanation:
If a student is taking a multiple choice exam with 100 questions and each question has 5 choices, the probability of guessing correctly on any single question is simply 1 in 5, as there is only one correct answer out of five possibilities. To calculate the probability of an event such as this, where each event is independent and there's an equal chance of each outcome, we use the formula for the probability of a single event, which is P(Event) = Number of successful outcomes / Total number of possible outcomes.
Therefore, the probability of the student guessing the correct answer on one question is P(Correct) = 1/5 or 20%.
If we are dealing with a question about guessing more than a certain percentage correctly, such as more than 75%, we would use the binomial probability formula, which is a bit more complex and depends on the specific question being asked.
Which of these is a ratio table?
Pls help
Answer:the one at the very bottom
Step-by-step explanation:Because 1-2 is right so then 2-blank would have to be 4 which is the very bottom one.
The correct answer would be option (D) which is a ratio table.
What is a Ratio Table?A ratio table is a table that shows the recurring relationship between two values. A set of data points can be used to observe the constant relationship. A set of data with a constant relationship between two values is a comparison of miles traveled to hours traveled. A special type of ratio is the comparison of two different quantities. A rate compares quantities measured in different units.
As per option (D), we have
A B
1 2
2 4
3 6
The ratio of A and B is :
A:B = 1/2 = 1:2
A:B = 2/4 = 1/2 = 1:2
A:B = 3/6 = 1/2 = 1:2
Hence, we can conclude that this is a ratio table.
The correct answer would be option (D)
Learn more about the Ratios here:
brainly.com/question/1504221
#SPJ5
What times 24 equals -12?
Answer:
-1/2 or/also known as. -0.5
On a factory floor, 30 out of every 140 toy robots is defective. What percent is defective?
A. 60%
B. 2.67%
C. 0.6
D. 26.67%
Can you help me? Thanks!
Answer:
[tex]21.43\%[/tex]
Step-by-step explanation:
we know that
To find out the percent of robots which are defective, divided the number of defective robots by the total number of robots and multiply the result by 100
Let
x ----> the number of defective robots
y ----> the total number of robots
p ---> percentage of robots which are defective
so
[tex]p=\frac{x}{y} (100)[/tex]
we have
[tex]x=30\\y=140[/tex]
substitute
[tex]p=\frac{30}{140}(100)[/tex]
[tex]p=21.43\%[/tex]
Which of these is True. When any given number greater than 0 is multiplied by a fraction greater than 1.
A. The product is always greater then the given number
B. The product is always less than the given number
C. The product is sometimes less than the given number
D. The product is sometimes greater then the given number
When any given number greater than 0 is multiplied by a fraction greater than 1 Option 1 the product is always greater than the given number.
What is a fraction in math?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
What are the 3 types of fraction?In Maths, there are three major types of fractions. They are proper fractions, improper fractions and mixed fractions. Fractions are those terms which have numerator and denominator.
What happens when any given number greater than 0 is multiplied by a fraction greater than 1?If any given number greater than 0 is multiplied by a fraction greater than 1 then the product is always greater than the given number.
The product is always greater than the given number because the top of the fraction i.e., the numerator is already greater than the bottom of the fraction i.e., denominator which results in a greater product than the given number.
For example, let us consider that the given number is 5 and the fraction is 6/5. So, if we multiply it together then we will get 6 as a result which is greater than the given number.
Hence, the product is always greater than the given number.
To learn more about fraction refer to:
https://brainly.com/question/1622425
#SPJ2
Giving brainliest again
Answer:
3. times 2 divided by 36
Answer:
L=6
Step-by-step explanation:
3 x 2= 6
36 divided by 6= 6
so L= 6
what is 3.5(2.25 + x)= 14
Answer:
x=1.75
Step-by-step explanation:
Ada's lunch costs $14.32. She hands the cashier $20.
About how much change will Ada receive?
Rachael is working at Taco Bell. She gets paid $8.00 per hour she works. She works 12 hours per day, for 5 days per week. How much does she get paid in 1 week? How much does she get paid in 2 weeks?
Answer:
she will be paid $480 for one week and $960 for two
Step-by-step explanation:
let P = paycheck
let d = days
let h = hours
P = d (8*h)
P = 5(8*12)
P = $480
to find two weeks multiply week one by 2
recently 5/8 of the items sold at Debbies Sporting Good were baseball caps. at Sasha Sports 7/10 of the items sold were baseball caps which store sold a greater fraction of baseball caps?
Answer:
7/10 is the larger fraction
Step-by-step explanation:
use cross multiplication
which fraction has the largest number above it.
8 x 7 = 56
5 x 10 = 50
you could also use a common denominator such as 40
5/8 = x/40
25/40
7/10 = x/40
28/40
28>25 so 7/10 is larger
Round the following numbers and estimate the product 52.84x28
Which expression is equivalent to the one in the picture?
Answer:
d.
Step-by-step explanation:
To convert a root to a fraction in the exponent, remember this rule:
[tex]\sqrt[n]{a^{m}}=a^{\frac{m}{n}}[/tex]
The index becomes the denominator in the fraction. (The index is the little number in front of the root, "n".) The original exponent remains in the numerator.
In this question, the index is 4.
The index is applied to every base in the equation under the root. The bases are 16, 'x' and 'y'.
[tex]\sqrt[4]{16x^{15}y^{17}} = (\sqrt[4]{16})(\sqrt[4]{x^{15}})(\sqrt[4]{y^{17}}) = (2)(x^{\frac{15}{4}}})(y^{\frac{17}{4}}) = 2x^{\frac{15}{4}}}y^{\frac{17}{4}}[/tex]
To find the quad root of 16, input this into your calculator. Since 2⁴ = 16, [tex]\sqrt[4]{16}[/tex] = 2.
For the "x" and "y" bases, use the rule for converting roots to exponent fractions. The index, 4, becomes the denominator in each fraction.
[tex]2x^{\frac{15}{4}}y^{\frac{17}{4}}[/tex]
Suppose Tommy walks from his home at (0, 0) to the mall at (0, 8), and then walks to a movie theater at (6, 8). After leaving the theater Tommy walks to the store at (6, 0) before returning home. If each grid square represents one block, how many blocks does he walk?
Answer:
He walks 28 blocks.
Step-by-step explanation:
0,0 to 0,8 is 8 blocks
0,8 to 6,8 is 6 blocks
6,8 to 6,0 is 8 blocks
returning home (6,0 to 0,0) is 6 blocks
8+6+8+6=28 blocks
Does a parralelogram have equal sides
Answer:
A parallelogram has opposite sides parallel and equal in length.
Step-by-step explanation:
Hope this helps. :)