Answer:
6x+4+3x²Step-by-step explanation:
Given polynomials:
(6x+7+x²)+(2x²-3)
Solution:
(6x+7+x²)+(2x²-3)Removing brackets,
6x+7+x²+2x²-3Collecting like terms,
6x+7-3+x²+2x²Simplifying ,
6x+4+3x²Done!
Hence option 3 is correct.
What is quadratic equation?The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form: ax² + bx + c = 0.
The given expression is;
(6x+7+x²)+(2x²-3)
Now add the like term in the given expression,
⇒ x² + 2x² + 6x + 7 - 3
⇒ 3x² + 6x + 4
Hence,
The sum of polynomial is 3x² + 6x + 4.
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which of these tables represents a function
Answer:
A: Table W.
Step-by-step explanation:
A function for tables are where the X-input NEVER repeat.
Graph W. Doesn't have any repeating inputs on the x side
Y can repeat as much as the problem make wants but the x CAN NOT.
Which property allows you to write the expression (3 7i) (8 − 6i) as (8 − 6i) (3 7i)?
Answer:
Commutative property
Livia eats a chicken drumstick with 11 grams of protein. She also eats x cheese sticks, each with 7 grams of protein. The table shows y , the total number of grams of protein that Livia will consume if she eats x cheese sticks. Livia may eat only part of a cheese stick, so x may not always be a whole number.
What is the range of the function?
Livia eats a chicken drumstick with 11 grams of protein. She also eats x cheese sticks, each with 7 grams of protein. The table shows y , the total number of grams of protein that Livia will consume if she eats x cheese sticks. Livia may eat only part of a cheese stick, so x may not always be a whole number.
What is the range of the function?
Please Help! What is tan A?
Answer:
[tex]\fbox {tan A = 0.5333}[/tex]
Step-by-step explanation:
tan A = opposite side of ∠A / hypotenuse
tan A = 8 / 15
tan A = 0.5333
Answer:
tan A = perpendicular/ base
tan A = 8/15
tan A=0.5333
Step-by-step explanation:
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Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12.
(AKS 16) What does the solution to the system of equations represent in the context of the problem? Explain.
Answer:
See below
Step-by-step explanation:
The solution will show the NUMBER Of adult and the NUMBER of child tickets purchased .
a = adult tickets cost = 15 a
c = children's tickets <=== this is equal to 20 - a
cost for children's tickets equals 10(20 - a)
15 a + 10c = 225 rememeber c = 20 -a <===put that in
15 a + 10 ( 20 -a) = 225 solve for a
15a + 200 - 10 a = 225
5 a = 25
a = 5 tix then c = 20 - a = 15 tix
Simplify. Rewrite the expression in the form 9^n9
n
9, start superscript, n, end superscript.
(9^{-3})(9^{12})=(9
−3
)(9
12
)
[tex] {3}^{18n} [/tex]
Answer:
9^10
Step-by-step explanation:
khan
which shows the best use of the associative and commutative properties to make simplifying -1/3 - 10 +7 + 2/3 +5 easier A.[5+(-1/3)+(-10]+(2/3+7) B.[-1/3+7+(-10)]+(5+2/3 C.[-1/3+(-10)]+[7+2/3+5] D.(-1/3+2/3)+[5+7+(-10)]
The answer choice which best uses the associative and commutative properties is; Choice C; [-1/3+(-10)]+[7+2/3+5].
Which best shows the use of associative and commutative properties?It follows from the answer choices that the best application of the associative and commutative properties is that which sums up all negative numbers and sums up all positive numbers and hence, choice C is the correct answer choice.
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A plant was 8 in. tall last week, and grew x in. this week. 1. Which expression represents how tall, in inches, the plant is now? A. x + 8 B. 8x Explain your thinking. 2. For the expression not chosen, describe a scenario the expression might represent.
Answer:
Step-by-step explanation:
Solution
Total growth (2 weeks) = x + 8
Explanation
During the second week, the plant is already 8 inches tall. It adds x to its total growth. 8x is not the same thing.
Meaning of 8x
For plants, 8x could mean the amount of growth that took place in 8 weeks. x is the amount of growth that takes place in 1 week. You have to think that the growth (x) for each week is the same
10 1/9 rounded to the whole or half
Answer:
Your answer is 68. Hope you got a big score!
The work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below: Step 1: 4(2x − 4) = 8 + 2x + 8 Step 2: 6x − 8 = 16 + 2x Step 3: 6x − 2x = 16 + 8 Step 4: 4x = 24 Step 5: x = 6 In which step did the student first make an error and what is the correct step? (5 points) Step 2; 8x − 4 = 2(6 + x + 6) Step 2; 8x − 16 = 16 + 2x Step 3; 6x − 2x = 16 − 8 Step 3; 6x + 2x = 16 + 8
What ordered pair is a solution of the equation?
y=-2x-5
[tex] \sf \underline{Answer:}
[/tex]
Pick any value for x, like x = 0, plug it into the equation, and get the value for y. For x = 0,
2(0) + y = 5
y = 5
The ordered pair is (0,5). Find other ordered pairs using the same reasoning.
[tex]2(0) + y = 5[/tex]
[tex]y = 5[/tex]
The ordered pair is (0,5).Which statements about the arcs and angles are true? select three options. ∠efd ≅ ∠egd ∠egd ≅ ∠ecd arc e d is-congruent-to arc f d marc e f = 60° marc f d = 120°
The true statements about the arcs and angles in circle C are:
∠EFD ≅ ∠EGD.Arc ED ≅ arc FD.m arc FD = 120°.How to analyze the arcs and angles?In Geometry, the sum of the measures of the interior angles in a quadrilateral is equal to 360°. Thus, we have:
m∠G + m∠GDC + m∠DCE + m∠GEC = 360°
60 + 90 + m∠DCE + 90 = 360
240 + m∠DCE = 360
m∠DCE = 360 - 240
m∠DCE = 120°.
Since ∠DFE is an inscribed angle that is subtended by arc DE, we have:
m∠DFE = m∠DCE
m∠DFE = 120
m∠DFE = 1/2 × 120
m∠DFE = 60°.
Therefore, ∠EFD ≅ ∠EGD.
From circle C, we can deduce that side ED is subtended by arc ED and side FD is subtended by arc FD (side ED ≅ side FD). Thus, arc ED ≅ arc FD and m arc FD is equal to 120°.
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Answer:
A C E
took quiz
10 point to Help with this ?
All the transformations for which A and B would be congruent are; Translation, Reflection, and Rotation.
What is congruence transformation?
A congruence transformation is defined as a movement of shape such that it can produce a shape that is congruent to the original.
There are three types of congruence transformation;
1. Translation
2. Reflection
3. Rotation
Given;
Shape B is made by applying a single transformation to shape A.
Hence, All the transformations for which A and B would be congruent are; Translation, Reflection, and Rotation.
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can someone please help meee
Step-by-step explanation:
Well the first 3 you just plug in the value of x which results in.
a. f(0) = 7(0)^2 + 3(0) - 2
f(0) = -2
b. f(2) = 7(2)^2 + 3(2) - 2
f(2) = 7(4) + 6 - 2
f(2) = 28 + 4
f(2) = 32
c. f(-2) = 7(-2)^2 + 3(-2) - 2
f(-2) = 7(4) - 6 - 2
f(-2) = 28 - 8
f(-2) = 20
for the last ones it's essentially the same thing except the value a is not known
d. f(a+1) = 7(a+1)^2 + 3(a+1) - 2
f(a+1) = 7(a^2 + 2a + 1) + 3a + 3 - 2
f(a+1) = 7a^2 +14a + 7 + 3a + 1
f(a+1) = 7a^2 + 17a + 8
c. f(-a) = 7(-a)^2 + 3(a) - 2
f(-a) = 7a^2 + 3a - 2
if y= 2f(g(x)), then d^2y/dx^2=
Use the chain rule to differentiate both sides of the given equation with respect to [tex]x[/tex] :
[tex]y = 2 f(g(x))[/tex]
[tex]\dfrac{dy}{dx} = y' = 2 f'(g(x)) g'(x)[/tex]
Differentiate again with the product and chain rules to get the second derivative :
[tex]\dfrac{d^2y}{dx^2} = y'' = \boxed{2 f'(g(x)) g''(x) + 2 f''(g(x)) g'(x)^2}[/tex]
(D)
The first two terms of an arithmetic sequence are shown below. 1 2 x+2' x+3' ck to task your mistake. Find the third term of this sequence. Give your answer fully factorised. Watch video Answer > The first two terms of an arithmetic sequence are shown below . 1 2 x + 2 ' x + 3 ' ck to task your mistake . Find the third term of this sequence . Give your answer fully factorised . Watch video Answer >
Answer:
in picture
Step-by-step explanation:
added in the picture
Show work, can someone help me out having trouble with this problem
Answer:
Step-by-step explanation:
Formula
a = 9 / (f - 7)
Note
If you are going to try and isolate f, you must take the 7 with it, assuming that getting f to the left hand side will the your first step. It will be mine.
Solution
a = 9 / (f - 7) Multiply both sides by (f - 7) leave the brackets around (f - 7)
a(f - 7) = 9(f - 7)/(f - 7) Combine
a(f - 7) = 9 Remove the brackets
fa - 7a = 9 Add 63 to both sides
fa - 7a + 7a = 9 + 7a Combine
fa = 9 + 7a Divide by a
fa/a = (9 + 7a)/a Simplify
f = (9 + 7a)/a
Answer
f = (9 + 7a)/a
Solve for B:
1/5b=d+f
Answer:
b=5d+5f
solve for b by simplifying both sides and then isolating the variable.
376
Step-by-step explanation:
what is the length of EF if DE=17 and DF=13 in DEF
By the fact that the sum of internal angles in a triangle and the law of the cosines, the possible lengths of the side EF are represented by 16 ≤ EF ≤ 900.
How to determine the possible lengths of a missing side in a triangle
In this question we have a triangle with two known lengths and there many possible solutions for the length of the segment EF. By geometry we know that the sum of the internal angles in a triangle equals 180° and by the law of cosines we have the following expression for the missing length:
EF² = 17² + 13² - 2 · (13) · (17) · cos D
EF² = 458 - 442 · cos D, 0 ≤ θ ≤ 180°
As the cosine is a function bounded between - 1 and 1, then the possible lengths of the side EF are:
16 ≤ EF ≤ 900
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PLSS HELP ITS ANGLESSS
Answer: D. 66°
Step-by-step explanation:
A triangle has 180° and we already have the numbers for two sides. We must find the answer that adds up to 180°.
A. 43° + 71° + 19°= 133°
B. 43° + 71° + 77°= 191°
C. 43° + 71°+ 114= 228°
D. 43° + 71° + 66°= 180°
With this information, we know that the answer is D. 66°.
I hope this helps! Pls give brainliest :)
If R = {(x, y): y = x = 2, 4, 6}, find the range of R. , 4 , 6 } , find the range of R.
PLS HELP FAST!! WILL GIVE BRAINLEIST!
Examine the intersection of these two lines: In photo
Which of the following pairs of angles are
supplementary? Select all that apply.
1 and 2
1 and 3
1 and 4
2 and 3
2 and 4
3 and 4
Answer:
1 & 3
1 & 4
2 & 3
2 & 4
Step-by-step explanation:
Any angles that are next to each other on a straight line will add to 180. If they are across from each other (like 1 & 2 or 3 & 4) those are vertical angles. They are equal.
a parallelogram has an area of 160 square meters and a height of 4 meter. what is the length of the base of the parallellogram
Answer:
40
Step-by-step explanation:
the formula for area of a parallelogram is a = bh
you know area (a) = 160 and height (h) = 4, so:
160 = 4 * b
divide both sides of this equation by 4,
b = 40
the base is 40 meters long
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Suppose y varies inversely as x², and y = 64 when x = 1/4. Find y when x = 7.
Finding the proportionality constant :
y = k/x²64 = k/(1/4)²k = 4Finding y when x = 7 :
y = 4/(7)²y = 4/49The value of y is 4/49 when x = 7.
[tex]y = \frac{k}{ {x}^{2} } \\ \\ 64 = \frac{k}{ { (\frac{1}{4}) }^{2} } \\ \\ 64 = \frac{k}{ \frac{1}{16} } \\ \\ 64 = 16k \\ \\ k = \frac{64}{16} \\ \\ k = 4.[/tex]
Finding 'y'
[tex]y = \frac{4}{ {7}^{2} } \\ \\ y = \frac{4}{49} .[/tex]
each day you read 15 pages in your textbook. use the drop-down menu to choose the correct equation that represents the total number of pages you have read after any number of days.
Answer:
15x
Step-by-step explanation:
assum 1 day you read 15 pages then after X day you reads 15*X=15X
2. analyze the data you gathered about the number of births in the united states in 2011.
a. what do you observe about michigan and florida? justify your conclusion by using the cartogram. (5points)
b. there were 4,008,000 births in the united states during 2011. what proportion of all national births are accounted for by michigan? what proportion of all national births are accounted for by florida? (5 points)
c. suppose a person born during 2011 in the united states is chosen randomly. is the person more likely to have been born in florida or michigan? explain. (5 points)
d. the population of the united states was 308,745,538 in 2011. there were 18,801,310 people in florida and 9,883,640 people in michigan. compute the probability that a randomly selected us resident in 2011 was living in florida. do the same for michigan. which is greater? (5 points)
e. the number of births in a region depends mostly on population size. there are also random fluctuations and regional differences. consider your answers about populations and birth rates. are your answers consistent with this fact? (5 points)
The figures show that the number of births for Florida and Michigan reduced
How to compute the probability?From the data sourced, the number of births in Florida in 2010 was 214519 while in 2011, it was 213237. For Michigan, there was decrease from 114717 to 114159.
When a person born during 2011 in the United States is chosen randomly, the person is more likely to have been born in Florida.
The probability that a randomly selected us resident in 2011 was living in Florida will be:
= 18,801,310/308,745,538
= 0.061
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If pound of cheese costs $3.43, what is the cost per pound?
PLS HELP
Answer:
$3.43
Step-by-step explanation:
Cost per pound means how much you are paying for one pound of the item. In this question it says a pound of cheese costs 3.43, therefore each pound of cheese costs 3.43. We can also use the equation 3.43x where x represents the amount of pounds you are purchasing. Just multiply the two and you will get a cost for any amount (pounds) of cheese.
A six-sided die is thrown three times. What is the probability of getting a prime number on all three rolls?
Answer:
3/216
Step-by-step explanation:
The sample space for this experiment is 6^3 which is 216
there are three prime numbers on die
namely 2 , 3 and 5
so the probability of getting a prime number on all three roles would be
(3/6)^3
can someone pleasee
