Answer:
[tex]\boxed{\text{Degree = 4; Max. no. of terms = 5}}[/tex]
Step-by-step explanation:
(x² + x + 2)(x² – 2x + 3)
1. Degree of product
The degree of the product of two polynomials is the sum of their degrees.
Each polynomial is of degree 2, so the degree of the product is 4.
That is, the term of highest degree must come from x² × x² = x⁴.
2. Maximum number of terms
The maximum number of terms is one more than the degree of the product.
Thus, there is a maximum of five terms in the product: one for each power of x plus a constant term.
P = a₁x⁴ + a₂x³ + a₃x² + a₄x + a₅
58:35
Compare the given dimensions of four triangles. Which triangle is possible to construct?
• side lengths of 5 ft, 12 ft, and 13 ft
O side lengths of 2 ft, 11 ft, and 15 ft
O side lengths of 3 ft, 7 ff. und 11 ft
O side lengths of 4 ft 8 ft, and 15 ft
Based on my calculations the answer is B
Answer:
D
Step-by-step explanation:
Pls help so confused
ANSWER
B.
[tex](f+g)(x) ={3}^{x} + 2x + 6[/tex]
EXPLANATION
The given functions are:
[tex]f(x) = {3}^{x} + 10[/tex]
and
[tex]g(x) = 2x - 4[/tex]
We want to find (f+g)(x).
[tex](f+g)(x) = f(x) + g(x)[/tex]
[tex](f+g)(x) ={3}^{x} + 10 + 2x - 4[/tex]
Combine similar terms,
[tex](f+g)(x) ={3}^{x} + 2x + 10- 4[/tex]
Simplify:
[tex](f+g)(x) ={3}^{x} + 2x + 6[/tex]
The correct answer is B
The answer is B. Hope this helped
Mary is 21 years old. Her age is 9 years more than 3 times Henry’s age. Which equation can be used to determine x, Henry’s age in years?
Answer:4
Step-by-step explanation:
21=3x+9
12=3x
X=4
Final answer:
To find Henry's age, use the equation 21 = 3x + 9, where x represents Henry's age which is 4.
Explanation:
The question asks to find the equation to determine Henry's age. Given that Mary is 21 years old and her age is 9 years more than 3 times Henry's age, we set up the equation as follows: Let x represent Henry's age. The equation then becomes 21 = 3x + 9. This equation can be used to solve for x, Henry's age which is 12 = 3x; x = 4.
5) radius = 2.6 in
How do I find the circumference?
Answer:
[tex]\large\boxed{C=5.2\pi\ in\approx16.328\ in}[/tex]
Step-by-step explanation:
The formula of a circumference of a circle:
[tex]C=2\pi r[/tex]
r - radius
We have r = 2.6 in. Substitute:
[tex]C=2\pi(2.6)=5.2\pi\ in[/tex]
[tex]\pi\approx3.14\to C\approx(5.2)(3.14)=16.328\ in[/tex]
Evaluate 5x + (-2x) for x= 3.
0 21
0
-3
Answer:
9
Step-by-step explanation:
5x + (-2x)
Combine like terms
5x -2x
3x
Let x =3
3(3)
9
Two angle are supplementary angle A has a measure of 3x+12 and angle B has a measure of 4x+28, what is the measure of each angle?
Answer:
A measures 72 and B measures 108
Step-by-step explanation:
If the angles are supplementary, that means that they add up to equal 180. 3x + 12 + 4x + 28 = 180. Doing some algebra there gives you that 7x = 140 and x = 20. Sub in 20 to angle A to get 3(20) + 12 = 72, and sub in 20 to angle B to get 4(20) + 28 = 108. And of course, 108 + 72 = 180.
HELP ASAP MARKING BRAINLEST
what is the radius of the circle with the following equation?
x^2 + (y-3)^2=121
Answer:
The circle's center points are (0,3) and the radius is 11
Step-by-step explanation:
are 2/8 and 3/4 equivalent
Step-by-step explanation:
They are not equivalent because :
2/8=1/4 decimal: 0.25
3/4 decimal:0.75
3/4 is greater than 2/8 when they are decimals.
Answer: They are not equivalent.
The other person spelled the word equivalent wrong.
Answer: THEY ARE NOT EQUIVILENT
2/8= .25
3/4=.75
.75≠.25
MAKE ME BRAINLIEST
WILL GIVE BRAINLIEST, 5/5 RATING, AND LIKE!!!!
There are 3000 people at a concert you survey a random sample of 200 people and find that for 35 of them this is their first concert they have ever attended estimate how many total people are attending their first concert that night
35 out of 200 = 35/200 = 0.175 = 17.5% of the people surveyed are attending their first concert.
Now multiply all the people at the concert by 17.5%
3000 x 0.175 = 525
There are about 525 people total attending their first concert.
Musiclover is right give it to them it’s 525
Help me answer this question please
Answer:
Step-by-step explanation:
√(x)
Shifted 3 units down:
√(x) - 3
Shifted 2 units to the right:
√(x-2) - 3
It's the last one.
ANSWER
[tex]y = \sqrt{x - 2} - 3[/tex]
EXPLANATION
The given equation is
[tex]y = \sqrt{x} [/tex]
This is the parent square root function.
If we apply the transformation;
[tex]y = \sqrt{x - k} - c[/tex]
Then the parent function will shift c units down and k units to the right.
When we the given function 3 units down and 2 units right the equation becomes:
[tex]y = \sqrt{x - 2} - 3[/tex]
35.
Elfa Beta
Alfa Beta's Objective Book
Any four vertices of a regular pentagon line on a
c) parallelogram d) None
a) circle b) square
36. If two circles touch, the point of contact line on a:
b) quadrilateral c) square .
a) St. line
d) None
37. The domain of the Relation R where R = {(x,y): y = x + x ; x,
and x < 9} will be
a) {x, 2, 3} b) {1, 2, 4, 8; c) {1, 0, 4, 8; d) None
38. A sum of money is divided between Mary and David in the rat
If Mary's Share is Rs. 225, then the total amount of money wil
a) 300 b) 400
c) 585
d) None
39. The angle between the vectors 2î + 39 + k and 29 - 39 - k is
a) "1a 6)" 13
d) None
160-11.27
c)"12
39 ko question solve gara
question no 39 isnot correct. they should be in i j k form
35. c)parallelogram, 36.a) straight line, 37.d) none, 38.d) None, 39.d)None
Question 35
Any four vertices of a regular pentagon will form a parallelogram. This is because the internal angles and lengths are such that selecting any four vertices will always result in the formation of a closed, opposite sides being equal, and opposite angles being equal shape, which is a parallelogram.
Question 36
If two circles touch, the point of contact lies on a straight line. Hence, the correct answer is a straight line.
Question 37
The domain of the relation R where R = {(x,y): y = x + x ; x ≥ 0 and x < 9} will be as follows: we are given that y = x + x^2 and x ranges from 0 (inclusive) to 9 (exclusive). Thus, the possible values for x within these constraints are all integers from 0 to 8. Therefore, the correct domain is
{0, 1, 2, 3, 4, 5, 6, 7, 8} and correct option is d. None
Question 38
If Mary's share is Rs. 225 and it is divided between Mary and David in the ratio 3:2, we first find the portion that represents Mary’s share. Here, Mary’s share is 3 parts and David’s is 2 parts. Together, their shares add up to 5 parts. If 3 parts equate to Rs. 225, then 1 part is Rs. 75. The total amount of money, which is 5 parts, will be 5 * 75 = Rs. 375. Hence, the correct total is Rs. 375.
Question 39
The angle between the vectors 2î + 3ĵ + k and 2î - 3ĵ - k can be found using the dot product formula.
The dot product of A and B, A.B = |A| |B| cos θ. First, compute A.B:
A = 2î + 3ĵ + kB = 2î - 3ĵ - kA.B = (2)(2) + (3)(-3) + (1)(-1) = 4 - 9 - 1 = -6Next, find |A| and |B|:
|A| = √(([tex]2^2) + (3^2) + (1^2)[/tex]) = √(4 + 9 + 1) = √(14)|B| = √(([tex]2^2) + (-3^2) + (-1^2[/tex])) = √(4 + 9 + 1) = √(14)Therefore,
cos θ = A.B / (|A| |B|) = -6 / (√(14) × √(14)) = -6 / 14 = -3 / 7Taking the inverse cosine:
θ = [tex]cos^(-1) (-3 / 7)[/tex]The approximate answer to the angle is around 116 degrees. However, because most multiple-choice sets would give their answers in radians, you would need to adjust accordingly. None of the provided answers exactly match this calculated result, therefore correct option is d. None
what is the area of this parallelogram
h=2in b=10in
Final answer:
The area of the parallelogram is calculated as the product of its base and height, resulting in 20 square inches.
Explanation:
The area of a parallelogram is calculated using the formula: Base x Height. In this case, the base (b) is 10 inches and the height (h) is 2 inches. Therefore, the area of the parallelogram can be found by multiplying the base by the height:
Area = Base x Height
Area = 10 in x 2 in
Area = 20 square inches
This calculation gives us the total area of the parallelogram in square inches.
The area of a parallelogram given its base and height dimensions as 10 in and 2 in is 20 square inches.
The area of a parallelogram can be calculated using the formula:
Area = Base x Height
Given that the base, b, is 10 inches and the height, h, is 2 inches, the area would be:
Area = 10 inches x 2 inches = 20 square inches
Please help will give brainliest
Answer:
[tex]b = 537[/tex]
Step-by-step explanation:
For this triangle we have to
[tex]a=640\\A=70\°\\B=52\°[/tex]
Now we use the sine theorem to find the length of b:
[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]
Then:
[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}\\\\b=\frac{sin(B)}{\frac{sin(A)}{a}}\\\\b=a*\frac{sin(B)}{sin(A)}\\\\b=(640)\frac{sin(52)}{sin(70)}\\\\b=537[/tex]
F(x)=a^x,which of the following expressions is equal to [f(1)]^2
[tex]
f(x)=a^x \\
f(1)^2\Longrightarrow f(1)=(a^x)^2 \\
f(1)=\boxed{a^{2x}}
[/tex]
There are 36 pencils in 6 packs. Igor wants to know how many pencils are in 1 pack. Elsa wants to know how many pencils are in 3 packs l.
In 1 pack there is 6 pencils cause you need to divide 36 by 6. In 3 packs there are 18 pencils because 6 pencils times 3 packs is 18 pencils!
Hope this helped!
Answer with step-by-step explanation:
We are given that there are 36 pencils in 6 packs and we are to find out how many pencils are there in one pack and three packs.
To find the number of pencils in one pack, we need to divide the number of pencils by the number of packs.
Number of pencils on 1 pack = 36/6 = 6 pencils
To find the number of pencils in 3 packs, we will multiply the number of pencils in one pack by 3.
Number of pencils in 3 packs = 6 * 3 = 18 pencils
greast common factor of 52 and 12
Answer:
4 = GCF
Step-by-step explanation:
52/12 = 4.333
52/11 = 4.7272727
52/10 = 5.2
52/9 = 5.77777778
52/8 = 6.5
52/7 = 7.42
52/6 = 8.6666667
52/5 = 10.4
52/4 = 13 --> 4 works but does it work with 12
**check it.
12/4 = 3
**YES** So 4 is the GCF
Hello There!
The Greatest Common Factor Between "12" And "52" Is 4
if the ratio of the length of a rectangle to its width is 3 to 2 . what length of a rectangle whose width is 4 inches?
Answer:
6 in.
Step-by-step explanation:
So first you do 4 divided by 2 to find how much is 1 in the ratio.
4/2 = 2
Then you times 3 by 2
3 x 2 = 6 in.
Answer:
6
Step-by-step explanation:
I did it on plato :))
c= [12 0 3/2 1 -6 7 ] What is 4C? its a 2x3 matrix so 12 0 3/2 on top and 1 -6 7 on bottom. The answer is also supposed to be a matrix.
Answer:
[tex]\left[\begin{array}{ccc}48&0&6\\4&-24&28\end{array}\right][/tex]
Step-by-step explanation:
4C implies that we multiply each element in C by the constant 4.
12*4 = 48
0*4 = 0
(3/2)*4 = 6
This will be the new elements on top
1*4 = 4
-6 * 4 = -24
7 * 4 = 28
This will be the new elements at the bottom. The required matrix 4C is thus;
[tex]\left[\begin{array}{ccc}48&0&6\\4&-24&28\end{array}\right][/tex]
Answer:
The required matrix is:
[tex]4C=\left[\begin{array}{ccc}48&0&6\\4&-24&28\end{array}\right][/tex]
Step-by-step explanation:
The matrix given is:
[tex]C=\left[\begin{array}{ccc}12&0&3/2\\1&-6&7\end{array}\right][/tex]
We need to find 4C which means we need to multiply the matrix C with 4. Every entry of matrix will be multiplied by 4.
[tex]4C=\left[\begin{array}{ccc}4*12&4*0&4*3/2\\4*1&4*-6&4*7\end{array}\right][/tex]
Solving:
[tex]4C=\left[\begin{array}{ccc}48&0&12/2\\4&-24&28\end{array}\right]\\4C=\left[\begin{array}{ccc}48&0&6\\4&-24&28\end{array}\right][/tex]
SO, the required matrix is:
[tex]4C=\left[\begin{array}{ccc}48&0&6\\4&-24&28\end{array}\right][/tex]
Sara had 207 dollars to spend on 9 books. After buying them she had 18 dollars. How much did each book cost
Answer:
21
Step-by-step explanation:
207-18=189..then divide by 9
The problem involves subtracting Sara's remaining money from her initial amount to find the total spent on books, then dividing by the number of books, giving us that each book cost 21 dollars.
Explanation:This is a basic algebra problem where we need to find the cost of each book. Sara initially has 207 dollars and after buying 9 books, she has 18 dollars left. Therefore, we can calculate the total spent on books by subtracting the final amount from the initial.
The calculation is: 207 dollars - 18 dollars = 189 dollars.
Now, to find the cost of each book, divide the total spent by the number of books. So, 189 dollars divided by 9 books results in 21 dollars per book.
Learn more about Division here:https://brainly.com/question/33969335
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Jay rides his bike 6 3/4 miles in 1/3 hour. What is his average speed?
There are three 1/3's in 1 hour: 1/3 +1/3 +1/3 = 3/3 = 1
Multiple the distance he rode by 3:
His speed is: 6 3/4 x 3 = 20 1/4 miles per hour
HELP PLEASE!!!!!???!!!!
-Hello There-
B Correct
The area of the original shape will be
multiplied by 9 to get the area of the
image under a dilation with scale
factor 3.
15 × 9 = 135 cm2
The perimeter of the original shape
will be multiplied by 3 to get the
perimeter of the image.
20 × 3 = 60 cm
(80pts) The ratio of the number of A's in the class to B's in the class was 2:5. How many people got A's if there were 40 people who got B's?
Make a proportion using the ratio (A:B) given and number of As and Bs really gotten in the class ([tex]\frac{A's}{B's}[/tex])
[tex]\frac{2}{5} = \frac{A}{40}[/tex]
Cross multiply
2 * 40 = 5 * A
80 = 5A
Isolate A by dividing 5 to both sides
80/5 = 5A/5
16 = A
If 40 people in the class got B's then 16 people got A's
Hope this helped!
~Just a girl in love with Shawn Mendes
16 people got A's if there were 40 people who got B's
The ratio of the number of A's in the class to B's in the class is given as:
Ratio = 2 : 5
This can be rewritten as:
A : B = 2 : 5
When there are 40 B's, we have:
A : 40 = 2 : 5
Multiply the second ratio by 8
A : 40 = 16 : 40
By comparison, we have:
A = 16
Hence, 16 people got A's if there were 40 people who got B's
Read more about ratios at:
https://brainly.com/question/1781657
wll what is the value of y
(105)
A 58
B 122
C
D
142
155
Answer:
D
Step-by-step explanation:
10x - 5 and 7x + 4 are vertical angles and congruent, hence
10x - 5 = 7x + 4 ( subtract 7x from both sides )
3x - 5 = 4 ( add 5 to both sides )
3x = 9 ( divide both sides by 3 )
x = 3
7x + 4 and y are same side interior angles and are supplementary, thus
y + 7x + 4 = 180 ← substitute x = 3
y + 21 + 4 = 180
y + 25 = 180 ( subtract 25 from both sides )
y = 155 → D
Distance between (4,1) and (10,8)
See attachment for solution steps and answer.
Question 1 (1 point)
Which of the equations listed below is equivalent to 48=-8(3b/4+2)
A. 48= -6b+2
B. 48= -6b-16
C. -384= -6b-16
D. -384= 3b+16
Answer: OPTION B.
Step-by-step explanation:
Given the equation [tex]48=-8(\frac{3b}{4}+2)[/tex] you can find an equivalent equation by simplifying it.
You need to remember the multiplication of signs:
[tex](-)(-)=+\\(+)(+)=+\\(+)(-)=-[/tex]
Now you can apply the Distributive property:
[tex]48=\frac{(-8)(3b)}{4}+(-8)(2)\\\\48=\frac{-24b}{4}-16[/tex]
Simplifying the equation, you get:
[tex]48=-6b-16[/tex]
You can observe that this equivalent equation matches with the equation provided in option B.
Help me find Train A's speed speed in miles per hour pleaseeeee
Answer: it should be 25.
Step-by-step explanation: this is because the slope of the line is 25. you can see that because, when finding the slope, you see that it goes up 50 and over 2. 50/2 (rise/run) is 25.
Answer:
25
Step-by-step explanation:
On the graph, you can see the train has traveled from 0 to 150 miles (the Y-axis), and it did that in 6 hours (X-axis).
That means that it traveled 150 miles in 6 hours.
A speed is a distance divided by a time (like miles/hour). So, to get the speed, we need to divide the distance traveled by the time it took to do it:
S = 150 miles / 6 hours = 25 miles per hour
Given y = 4x + 3, what effect does changing the equation to y = 4x - 3 have on the y-intercept?
Answer:
The y-intercept changes from (0, 3) to (0, -3)
Step-by-step explanation:
The y-intercept refers to the point where the graph of a function crosses or intersects with the y-axis. At this point, the value of x is usually 0.
Substitute x = 0 in both equations to determine how the y-intercept changes;
The original equation is given as y = 4x + 3,
when x = 0; y = 4(0) + 3 = 3
The y-intercept is thus (0, 3)
The new equation is given as y = 4x - 3
when x = 0; y = 4(0) - 3 = -3
The y-intercept is thus (0, -3)
Therefore, the y-intercept changes from (0, 3) to (0, -3)
if the pattern below follows the rule "starting with 10,every consecutive line has a number one less than the previous line." how many marbles must be in the sixth line?
I believe 5 marbles on the 6th line.
Line 1: 10
2: 10-1=9
3: 9-1=8
4; 8-1=7
5: 7-1=6
6: 6-1=5
For the pattern given, the number of marbles in the sixth line is 5.
Given that:
"Starting with 10, every consecutive line has a number one less than the previous line."
This is the pattern of the positions of the marbles.
The first line has 10 marbles.
The second line has 10 - 1 = 9 marbles.
The third line has 9 - 1 = 8 marbles.
The fourth line has 8 - 1 = 7 marbles
The fifth line has 7 - 1 = 6 marbles
The sixth line has 6 - 1 = 5 marbles.
The number of marbles in any line will be 10 - (n - 1) marbles for any nth line.
Hence the number of marbles is 5.
Learn more about Sequence here :
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Let f(x) = -2x -2. The graph of g(x) = f(x) + k is shown below. Identify the value of k.
k should be 1, Check by calculating the x values for f(x) and confronting them with g(x)
The graph of g(x) is a vertical shift of the graph of f(x) by 1 unit up. Thus, the value of k is 1.
The graph of g(x) = f(x) + k is a vertical shift of the graph of f(x) by k units. We can see from the graph that the graph of g(x) is shifted up by 1 unit relative to the graph of f(x).
Therefore, the value of k is 1.
To confirm this, we can plug in a point on the graph of g(x) into the equation for g(x) and solve for k.
For example, we can see that the point (-1, 2) is on the graph of g(x). Plugging this point into the equation for g(x), we get:
2 = -2(-1) - 2 + k
2 = 0 - 2 + k
k = 2 + 2
k = 4
However, we know that this cannot be the correct answer, because the graph of g(x) is shifted up by 1 unit relative to the graph of f(x). Therefore, the only possible value of k is 1.
For similar question on vertical shift.
https://brainly.com/question/27925380
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Complete the equation of a line through (-3,3) with a slope of 1/3
y=1/3x+
[tex]\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{3})~\hspace{10em} slope = m\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-3=\cfrac{1}{3}[x-(-3)] \implies y-3=\cfrac{1}{3}(x+3) \\\\\\ y-3=\cfrac{1}{3}x+1\implies y=\cfrac{1}{3}x+4[/tex]