Answers
Given:
The two models for the two polynomials.
To find:
The sum of the given polynomials.
Solution:
From the given figure, it clear that
[tex]\text{First polynomial}=a^2+a+2[/tex]
[tex]\text{Second polynomial}=-a-1[/tex]
Adding both polynomials, we get
[tex]Sum=a^2+a+2+(-a-1)[/tex]
[tex]Sum=a^2+a+2-a-1[/tex]
[tex]Sum=a^2+1[/tex]
Therefore, the correct option is A.
Related Questions
Arithmetic mean of marks (out of 25) scored by 10 students was 15. One of the student, named Karishma enquired the other 9 students and find the deviations from her marks are noted as −8,−6,−3,−1,0,2,3,4,6. Find Karishma's marks?
Answers
Answer:
Krishna's marks x marks
so...
xˉ=15
xˉ=15n=10
xˉ=15n=10∑x=x+x−8+x−6+x−3+x−1+x+x+2+x+3+x+4+x+6=10x−3
15=10x-3/10
150+3=10x
x=150/10=15.3 marks
Krishna scored 15.3 marks.
hope it helps you sis...
-1/3*12+14=2/3*12+2=
Answers
Answer:
10=10
Step-by-step explanation:
_1(12)+14=2(12)+2
3.
solve for x
please help
Answers
Answer:
your answer will be X=11.1
hope it helps you ...
Mr.Bhal has a circular wading pool with a radius of 3.5 feet. He bought a larger pool witha diameter of 21 feet. The measurements of each pool are shown below. How many times the circumference of the old pool is the circumference of the new pool?
Answers
Answer: i think c
Step-by-step explanation:
-8x + y = -16
-3x + y = -5
Answers
Answer:
x= 11/3
y= 6
Step-by-step explanation:
-8x+y=-16
-3x+y = - 5
Multiply the second equation by -1, we get,
-8x + y = -16
3x -y = 5
--------------------
-3x = -11
x= 11/3
x=11/3. so,
-3×11/3 +y = -5
-11+y=-5
y= -5+11
y=6
plzz help really fast
Answers
Answer:
the answer is 32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
Let's do it step by step:
[tex]-16(-5\frac{1}{2} \div 2\frac{3}{4}) = -16(\frac{-5\frac{1}{2}}{2\frac{3}{4}}) = -16(\frac{-\frac{11}{2}}{\frac{11}{4}}) = -16(-\frac{4}{2}) = -16\cdot(-2) = 32[/tex]
If f(x)=x+5,g(x)=1-2x,h(x)=x-2 find fog,foh,goh,gof,hof
Answers
Answer:
The answer is below
Step-by-step explanation:
Function is a rule, or law that defines the relationship between one variable (the independent variable) and another variable (the dependent variable)
a) fog = f[g(x)] = f(1 - 2x) = 1 - 2x + 5 = 6 - 2x
b) foh = f[h(x)] = f(x - 2) = x - 2 + 5 = x + 3
c) goh = g[h(x)] = g(x - 2) = 1 - 2(x - 2) = 1 - 2x + 4 = 5 - 2x
d) gof = g[f(x)] = g(x + 5) = 1 - 2(x + 5) = 1 - 2x - 10 = 9 - 2x
e) hof = h[f(x)] = h(x + 5) = x + 5 - 2 = x + 3
pls help i need answer
Answers
Answer:
109 degrees
Step-by-step explanation:
23 + 48 = 71
180 - 71 = 109 :)
Answer:
i think the answer is 109 im not sure
Step-by-step explanation:
48+23=71 180-72=109
The graph shows the relationship between the distance a car is driven and the number of gallons of gasoline used. Identify the value of d in the point (1, d). What does that point represent?
A. d=25; the unit rate is 25 miles per gallon
B. d=25; the unit rate is 25 gallons per mile
C. d=50; the unit rate is 50 miles per gallon
D. d=50; the unit rate is 50 gallons per mile
Answers
Answer:
B
Step-by-step explanation:
The "x" coordinate goes before the y coordinate. For example, it is (x, y)
To solve:
When the x coordinate, or the gasoline used (In gallons) is 1, then we need to find what d is.
On the graph, d = 25 miles per gallon.
So, the answer is B.
What is 0.69 expressed as a fraction in simplest form
Answers
Answer:
the answer is 69/100
The three lines shown in the diagram below intersect at the same point. The measures of some of the
angles in degrees are given as...
Answers
Answer:
x =16, y = 151.2
Step-by-step explanation:
Since angle 3/5y and angle 12 and angle 42 lies on the same straight line,
[tex] \frac{3}{5} y + 12 + 42 = 180 \\ \frac{3}{5} y = 180 - 12 - 42 \\ \frac{3}{5} y = 180 - 54 \\ \frac{3}{5} y = 126 \\ y = 126 \div \frac{3}{5} \\ = 126 \times \frac{5}{3} \\ = 151.2[/tex]
Since angle 3(x-2) , 3/5y and 12 lies on the same straight line and we know what y is,
[tex]3(x - 2) + \frac{3}{5} y + 12 = 180 \\ 3(x - 2) + \frac{3}{5} (151.2) + 12 = 180 \\ 3(x - 2) + 126 + 12 = 180 \\ 3(x - 2) = 180 - 12 6 - 12 \\ 3(x - 2) = 42 \\ x - 2 = \frac{42}{3} \\ x = 14 + 2 \\ =16[/tex]
find-5/6÷(-1/2) write the answer in the lowest terms.
Answers
Answer:
[tex]\dfrac{-5}{3}[/tex]
Step-by-step explanation:
We need to solve the given expression in the lowest form i.e.
[tex]\dfrac{5}{6}\div (-\dfrac{1}{2})[/tex]
We know that,
[tex]\dfrac{a}{b}\div \dfrac{c}{d}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]
So,
[tex]\dfrac{5}{6}\div (-\dfrac{1}{2})=\dfrac{5}{6}\times (-2)\\\\=\dfrac{-5}{3}[/tex]
So, the lowest form is equal to [tex]\dfrac{-5}{3}[/tex].
The nutritional chart on the side of a box of a cereal states that there are 87 calories in a 3/4 cup serving. How many calories are in 8 cups of the cereal?
Answers
Answer:
Total calories in 8 cup = 928 calories
Step-by-step explanation:
Given:
Calories in 3/4 cup of cereal = 87 calories
Find:
Total calories in 8 cup
Computation:
Total calories in 8 cup = 8 x 87 x [4/3]
Total calories in 8 cup = 928 calories
What is the solution to this system of equations?
2x+y=6
- 2 x - y = 2
(1,-1)
(0,8)
infinitely many solutions
O no solution
Answers
Consider the equation 13x−2=x+2. Write a system of linear equations using each side of the equation. Then solve the original equation by graphing the system of linear equations.
Answers
Answer:
x = 3
Step-by-step explanation:
13x - 2 = x + 2
12x = 4
x = 3
what is the area of yhe following circle?either an exact answer in terms of or use 3.14 for and enter your ansert as a decimal
r=5
units2
Answers
Answer and Step-by-step explanation:
If the radius is 5, then we can plug 5 into the area of a circle equation.
A = [tex]\pi r^{2}[/tex]
A = [tex]\pi (5)^{2}[/tex]
A = 25[tex]\pi[/tex]
The area of a circle with radius 5 is 25[tex]\pi[/tex].
#teamtrees #PAW (Plant And Water)
A line's y-intercept is 4, and its slope is 1/2. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y = 1/2x + 4
Step-by-step explanation:
The slope-intercept equation is written out like so:
y = mx + b
M stands for your slope: 1/2
B stands for your y-intercept: 4
So, your equation is y = 1/2x + 4
Find the missing angle of each triangle.
Answers
Answer:
1 is 64
2 is 85
3 is 56 hope this helps
Step-by-step explanation:
also how give brainly i want to give u brainly
how do I find the number of solutions for this equation? 6y = 12x + 36
15y = 45x + 60
Answers
Answer:
6y = 12x + 36 is x= 1 /2 y−3
15y = 45x + 60 is x= 1 /3 y+ −4 /3
Step-by-step explanation:
what's the following rotational symmetries of oranges regular hexagon
Answers
Answer:
rotational symmetry of 60 degrees around the origin - yes
rotational symmetry of 120 degrees around the origin - yes
Step-by-step explanation:
A regular hexagon has 6 congruent angles
the the angles created on the line of symmetry are equal to 60 so the angle of rotational symmetry is 60 degrees.
The regular hexagon, like stated before, has 6 congruent angles so the order of symmetry is 6
Here is a visual from basic-matematics
70+95 Factor the expression using the GCF
giving brain
Answers
Answer:
70 + 95 = 5(14 + 19)
70 + 95 = 5(14 + 19)
gcf = 5
Step-by-step explanation:
70+95
70=2*5*7
95=5*19
70+95=(5*2*7)+(5*19)=(5*14)+(5*19)=5*(14+19)=5*(33)
5*33=165 and 70+95=165 Hope this helps! Please give me brainly!
What type of dilation occurs with a scale factor of 1/4?
Answers
Answer:
Congruent
Step-by-step explanation:
In the figure above, sin 52=17/c. Based on the figure, which of the following equations is also true
A. Sin 38= c/17
B. Cos 38=17/c
C. Cos 52=17/c
D. Tan 52=c/17
Answers
Answer:
c. Cos 52 = 17/c
Step-by-step explanation:
sin(x) = cos(90-x)
A bag contains: 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?
Answers
Step-by-step explanation:
green = 3/20
black = 4/20 = 1/5
Answer: 35
Step-by-step explanation:
Please indicate which type of sampling design is most appropriate for each of the following studies. The choices are SRS, stratified random sampling, and matched pair design.
a. A campus newspaper randomly selects 20 common Spring Break destinations and surveys the residents about their attitudes of students spending Spring Break in their city.
b. A developer in West Lafayette wants to know if students who are renting off-campus like their apartment complex. They chose 10 students who lived in 5 different complexes.
c. A researcher wants to know the difference in time it takes to apply brakes between people who are not talking on the phone and people who are talking on a hands-free cell phone. She chose 100 individuals and then drive both ways in a simulator and measured their responses. A student organization has 55 members. Out of these members, five are selected randomly to attend a national conference.
Answers
Answer:
Following are the responses to the given question:
Step-by-step explanation:
In point 1
The random selection stratified: although 50 statements belong to 5 different groups.
In point 2:
Coincide pair design: As we're in the SAME location to measure the difference between the downstream and upstream fractures. Although when calculating a top-down split they need only to calculate the low-up split which corresponds to the top-down split.
In point 3:
Matched layout: As 100 individuals were chosen and ALL were required to give BOTH and document certain responses.
In point 4:
SRS: RANDOMLY has also been selected since 20 spring break goals.
The sum of a number times 8 and 23 is at most 26.
Use the variable b for the unknown number
Answers
Answer:
b ≤ 3/8
Step-by-step explanation:
Let the unknown number be b.
Translating the word problem into an algebraic expression, we have;
8b + 23 ≤ 26
Rearranging the equation, we have;
8b ≤ 26 - 23
8b ≤ 3
Dividing both sides by 8, we have;
b ≤ 3/8
This graph shows how fast a race car can travel in a stock car race
What is the meaning of the point with an x-coordinate of 2?
A. The race car travels 2 meters in 180 seconds
B. In 1 second, the race car travels 2 meters
C. In 2 seconds, the race car travels 180 meters.
D. It takes the race car 60 seconds to go 2 meters
Answers
Answer:
C. In 2 seconds, the race car travels 180 meters.
Step-by-step explanation:
triangle DEF is similar to triangle STU. enter a proportion that contains EF and SU.
Answers
Answer:
Step-by-step explanation:
ΔDEF ~ ΔSTU ⇒ EF ~ TU and DF ~ SU ⇒ [tex]\frac{EF}{TU}[/tex] = [tex]\frac{DF}{SU}[/tex]
what is (x+2)^4 using binomial theorem and pascal’s triangle?
Answers
Answer:
x 4 +8x 3 + 24 x 2 + 32 x + 16
Step-by-step explanation:
Round 8 5/9 to the nearest whole number. 9 10 7 8
Answers
Answer:
The answer would be 9,
Step-by-step explanation:
because it is closer to 9 than 8.