The degree of the polynomial is 4.
To determine the degree of a polynomial, we look for the highest power of the variable present in any of its terms. Let's break down the given polynomial and identify the terms:
[tex]\[ -3.1ax^4 + 2.5ax + 2ax^4 + 1.1ax^4 - 0.5ax - 2ax \][/tex]
Here, we have terms with different powers of [tex]\( x \): \( x^4 \), \( x \),[/tex] and constant terms.
Combine like terms:
[tex]\[ (-3.1a + 2 + 2.1 + 1.1 - 0.5 - 2)ax^4 \][/tex]
[tex]\[ = (-3.1a + 2 + 2.1 + 1.1 - 0.5 - 2)ax^4 \][/tex]
[tex]\[ = (-0.4a)ax^4 \][/tex]
Now, let's analyze the combined term [tex]\( (-0.4a)ax^4 \)[/tex].
The highest power of ( x ) in this term is 4. So, the degree of the polynomial is 4.
Therefore, the degree of the polynomial is 4.
The area of a rectangular mirror is 15 15/16 square feet. The width of the mirror is 3 3/4 feet. If there is a 5 foot tall space on the wall to hang the mirror, will it fit? Explain. _________ fit because the height is ______ feet.
Answer: The mirror will fit because the height of the mirror is 4 feet.
Step-by-step explanation:
we just divide 15 by 3 3/4 and get the answer of 4.
Yes, the mirror will fit on the wall because its height is approximately 4.25 feet, which is less than the 5-foot tall space on the wall.
Explanation:To determine whether the mirror will fit, we need to calculate its height. Since the area of a rectangle is given by the formula Area = Height × Width, we can find the height by rearranging the formula to Height = Area ÷ Width.
The given area of the mirror is 15 15/16 square feet and the given width is 3 3/4 feet.
After performing the division, we get the height of the mirror to be approximately 4.25 feet.
Since the space on the wall is 5 foot tall and the height of the mirror is less than this, the mirror will fit on the wall. So, the answer is: Yes, it will fit because the height is 4.25 feet.
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In parallelogram ABCD , diagonals AC⎯⎯⎯⎯⎯ and BD⎯⎯⎯⎯⎯ intersect at point E, BE=x2−21 , and DE=4x .
What is BD ?
__units
Answer:
BD= 56units
Step-by-step explanation:
Since, Diagnols of a parallelogram bisect each other.
Therefore in parallelogram ABCD where AC and BD are the diagnols wich intersect at Point E, we have, BE=DE
Therefore, x^2-21=4x
x^2-21-4x=0
x^2-4x-21=0
x^2-7x-3x-21=0 [middle term splitting]
x(x-7)+3(x-7)=0
(x+3)(x-7)=0
Hence, x= -3 and x= 7
Since x cannot be negative because no side can have negative values
Therefore, we have x=7
Now, BD= BE+DE [Since E is the intersecting point of BD]
= 4x+x^2-21
= 4(7)+7^2-21
=28+49-21= 56 units
Helpppppppoo qucikkk
Answer:
x² - 2x - 3
Step-by-step explanation:
P(x) - Q(x)
= x² - x - 6 - (x - 3) ← distribute
= x² - x - 6 - x + 3 ( collect like terms )
= x² - 2x - 3
12 is what percent of 50
Answer:24%
Step-by-step explanation:
Step 1: We make the assumption that 50 is 100% since it is our output value.
Step 2: We next represent the value we seek with x
Step 3: From step 1, it follows that 100\%=50.
Step 4: In the same vein, x\%=12.
Step 5: This gives us a pair of simple equations:
hope this helps
what is the value of x
enter your answer in the box
Answer:
x = 19
Step-by-step explanation:
3x - 3 = 6(x - 10)
3x - 3 = 6x - 60
+3 +3
3x = 6x - 57
- 6x
- 3x = -57
= 19
Answer:
x = 19Step-by-step explanation:
[tex](3x-3)^{0} =\left[6(x-10)] ^{0}\\[/tex] (opposite angle)
[tex]3x-3=6(x-10)\\ 3x-3=6x-60\\ 60-3=6x-3x\\ 57=3x\\ \frac{57}{3} =x\\ 19=x[/tex]
The shallowest section of an underground tunnel is -50 feet. The deepest section of the tunnel is -135 feet. How many feet below the shallowest section is the deepest section
A. -95 feet
B. - 185 feet
C. 85 feet
D. 195 feet
Answer:
The answer would be c)85 FEET
Step-by-step explanation:You start with the deepest section(-135) and add the shallowest point(50). the result is an 85 foot difference.
Answer: c 85ft
Step-by-step explanation:
x+y=10 and 2x+4y=30
What are the steps to solve this equation?
Answer:
x=5 and y=5
Step-by-step explanation:
You "plug" one equation into the other, to get a new equation that only has one variable (x or y), then you can simplify that and have your answer.
So let's plug the first into the second:
First, we convert the first equation into an x=... form. For this one, this means moving the +y to the other side:
x = 10 - y
Now we substitute 10-y for x in the second equation:
So 2x+4y=30 becomes:
2(10-y) + 4y = 30
And simplify that:
20 - 2y + 4y = 30
20 + 2y = 30
2y = 30-20
2y = 10
y = 5
This is the first answer! If we put this into the first equation, we get:
x = 10 - 5 = 5
Now we have both answers, x=5 and y=5
which of these numbers is composite? 3,5,19,71,85
Answer:
85
Step-by-step explanation:
Answer:85 would be the correct Answer
Can I have Brainliest?
Step-by-step explanation:
how do you do this problem???????????????/
Answer:
Price in Japan= 17.81
Price in Switzerland = 13.58
Step-by-step explanation:
First set up system of equations
80.59 = 3j +2s
76.36 = 2j + 3s
Make it to where you can eliminate one variable
161.18 = 6j +4 s
-229.08 = -6j - 9s
Reset the problem
-67.9 = -5s
s=13.58
Re plug them in to the original equation to get j = 17.81
By solving a system of linear equations formed from the given information, we found the average cost of a movie ticket in Japan to be $24.60, and in Switzerland to be $6.79.
Explanation:Let's denote J as the cost of a movie ticket in Japan and S as the cost of a movie ticket in Switzerland. From the problem, we establish two equations: 3J + 2S = $80.59 and 2J + 3S = $76.36. This is a system of linear equations that can be solved by substitution or elimination. If you choose elimination, add these two equations together, which results in 5J + 5S = $156.95, or J + S = $31.39. Now, substitute (J + S) in first equation, we get 3J + 2(31.39 - J) = 80.59. Solving this equation we find J = $24.60. Thus, the price of a movie ticket in Switzerland is S = $31.39 - $24.60 = $6.79. Therefore, a movie ticket in Japan costs $24.60 on average, and in Switzerland, it costs $6.79.
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The complete question is here:
Average movie prices in the United States are, in general, lower than in other countries. It would cost $80.59 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $76.36. How much does an average movie ticket cost in each of these countries?
In Japan the average cost is __.
In Switzerland the average cost is _____.
Please need help on this
Answer:
A: 20 km/hr B: 10 km/hr
Step-by-step explanation:
what is the approximate surface area of the cylinder 3mm 16mm (use 3.14 for π)
A. 301.44mm^2
B. 357. 96mm^2
C. 339.12mm^2
D. 370.52mm^2
The formula of a Surface Area of a cylinder:
[tex]S.A.=2\pi r^2+2\pi rH[/tex]
r - radius
H - heihgt
We have r = 3mm and H = 16mm. Substitute:
[tex]S.A.=2\pi(3)^2+2\pi(3)(16)=2\pi(9)+2\pi(48)=18\pi+96\pi=114\pi\ mm^2\\\\\pi\approx3.14\to S.A.\approx114\cdot3.14=357.96\ mm^2[/tex]
Answer: B. 357.96 mm^2Myron is cooking meat. The double number line shows that he needs 1 2 12 hours to cook 5 5 kilograms of meat. 0 0 5 5 Meat Meat (kg) (kg) 0 0 1 2 12 Time Time (hours) (hours) Based on the ratio shown in the double number line, how long does Myron need to cook 3 3 kilograms of meat?
Answer: 7 hours 12 minutes
Step-by-step explanation:
Let he needs x hours to make 1 kg of meat.
Therefore, time taken in making 5 kg of meat = 5 × x = 5x hours.
But, According to the question,
He needs 12 hour to cook 5 kg of meat.
Thus, 5 x = 12
⇒ [tex]x = \frac{12}{5}[/tex] ( By dividing both sides by 5 )
⇒ He needs [tex] \frac{12}{5}[/tex] hours to make 1 kg of meat.
⇒ The time taken to cook 3 kg of meat = [tex]3\times \frac{12}{5}=\frac{36}{5} [/tex]
= [tex]7\frac{1}{5}[/tex] hours ⇒ 7 hours 12 minutes
Hence, He needs 7 hours 12 minutes time to cook 3 kg of meat.
After calculating, we determined that Myron needs 54 minutes to cook 3 kilograms of meat.
This problem can be solved by setting up a proportion since it involves a direct ratio between the weight of meat and the cooking time.
The given ratio is 1 1⁄2 hours for 5 kilograms of meat (1:5 ratio). To find the time needed for 3 kilograms of meat, use the proportion:
5 kg :- 1 1⁄2 hours
3 kg :- x hours
Solving for x yields the following:
5 kg / 3 kg = 1 1⁄2 hours / x hours
x = (1 1⁄2 hours × 3 kg) / 5 kg
Converting 1 1⁄2 hours to minutes (90 minutes) and then performing the multiplication and division:
x = (90 minutes × 3) / 5
x = 270 minutes / 5
x = 54 minutes
Thus, Myron needs to cook 3 kilograms of meat for 54 minutes.
what the answer to
-2v+8 (1+2v)=-90
Answer:
v=2-2root7, v=2+2root7
Step-by-step explanation:
-2v+8(1+2v)=-90
-2-4v^2+8+16v=-90
6-4v^2+16v=-90
-4v^2+16v=-96
v=2-2root7, v=2+2root7
Answer
-2v+8 (1+2v)=-90 then V = -7
Step-by-step explanation:
-2v + 8 x (1 + 2v) = -90
-2v + 8 + 16v = -90
14v + 8 = -90
14v = -98
V = -98/14
V= -7
Hope this helps ;)
41.073 round each number to the place of the underlined digit. The underline number is 0
Answer:
41.1
Step-by-step explanation:
The number will be cut off after the digit you are rounding off to.
Rewrite the number, but stop at the 0.
41.0
Now you need to decide if the 0 stays as 0 or if it goes up to 1.
When the next digit is from 5 to 9, the last digit you keep goes up 1. When the next digit is 0 through 4, the last digit you keep stays as it was.
Since the first digit that was dropped is a 7, the 0 goes up one unit to 1.
Answer: 41.1
Answer:
41.1
Step-by-step explanation:
If we are rounding at the 0, we have to look at the next digit, which is 7.
Since 7>=5, we will round up. Zero becomes a 1
41.073 becomes 41.1
An electrician has $120 to spend on interior light fixtures. the wholesale price for 13-watt low-energy lamp is $4. The price for a high-energy lamp is $5. write an expression for how much the electrician spends for A units of the low-energy lamp and B units of the high-energy lamp.
complete the table for the electrician's purchase. assume that all of the $120 is spent
To find the expression for the cost of low-energy lamps and high-energy lamps, use the expressions 4A and 5B respectively. To find the values of A and B that make the total cost equal $120, solve the equation 4A + 5B = 120.
Explanation:To write an expression for how much the electrician spends on low-energy lamps and high-energy lamps, we can use the following expressions:
Cost of low-energy lamps: 4A
Cost of high-energy lamps: 5B
To complete the table, we need to calculate the values of A and B such that the total cost equals $120. Since all of the $120 is spent, the expression for the total cost would be:
Total cost: 4A + 5B = 120
We can solve this equation to find the values of A and B.
Write a numerical or variable expression for the quantity: the number of seconds in m minutes
To find the number of seconds in m minutes, you can multiply m by 60. The numerical expression is 60m and the variable expression is 'm * 60.'
Explanation:To write a numerical or variable expression for the quantity 'the number of seconds in m minutes,' we need to know the conversion rate between minutes and seconds. There are 60 seconds in 1 minute. So, to find the number of seconds in m minutes, we can multiply m by 60.
The numerical expression would be 60m.
The variable expression would be 'm * 60.'
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Which of the following is a solution to the inequality 7-1/5x>0?
[tex]7-\dfrac{1}{5}x>0\qquad\text{subtract 7 from both sides}\\\\-\dfrac{1}{5}x>-7\qquad\text{change the signs}\\\\\dfrac{1}{5}x<7\qquad\text{multiply both sides by 5}\\\\\boxed{x<35}[/tex]
which describes the angle measures of an equilateral triangle?
A) 30*,30*,30*
B) 60*,60*,60*
C) 90*,90*,90*
Answer:
B
Step-by-step explanation:
All sides have to be equal and add up to be 180 degrees therefore the answer would be 60 because 60 plus 60 plus 60 is 180.
Answer:
B
B is the only answer that adds to 180, the interior angle measures of a triangle.
the graph of a line has a slope of -2/3 and a y intercept of (0,2). rewrite the equation in standard for (Ax+By=C) with a positive term. A,B, and C must all be intergers. what is the answer?
Answer:
2x + 3y = 6
Step-by-step explanation:
obtain the equation in slope- intercept form
y = mx + c ( m is the slope and c the y-intercept )
here m = - [tex]\frac{2}{3}[/tex] and c = 2
y = - [tex]\frac{2}{3}[/tex] x + 2 ← in slope-intercept form
multiply all terms by 3 to eliminate the fraction
3y = - 2x + 6 ( add 2x to both sides )
2x + 3y = 6 ← in standard form
this property says you can rewrite 3 x (4+5) as (3x4) +(3 x 5).
Answer:
distributive property
Step-by-step explanation:
Distributive property says that x(y + z) = (x*y) + (x *z)
The property used in the given expression is
Distributive property of multiplication over addition.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The distributive property of multiplication over addition states that,
a(b + c) = a x b + a x c
Now,
3(4 + 5) = (3 x 4) + (3 x 5)
This is the Distributive property of multiplication over addition.
Thus,
The property of distributive multiplication over addition is used.
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Write the following equation in the general form Ax + By + c = 0. 1/2 y- 1/3 x-1=0
Answer:
2x- 3y = - 6
Step-by-step explanation:
given [tex]\frac{1}{2}[/tex] y - [tex]\frac{1}{3}[/tex] x - 1 = 0
multiply all terms by 6 to eliminate the fractions
3y - 2x - 6 = 0 ( multiply all terms by - 1 )
- 3y + 2x + 6 = 0 ( subtract 6 from both sides )
2x - 3y = - 6 ← in standard form
The frame is being enlarged to hang on a gallery wall. Using the scale factor of 1 in = 3 ft, give the new dimensions of the outside edges of the frame. New Dimensions: 5in. = ___________ 7in=___________
Answer:
Part A) [tex]5\ in=15\ ft[/tex]
Part B) [tex]7\ in=21\ ft[/tex]
Step-by-step explanation:
we know that
The scale factor is [tex]\frac{1}{3}\frac{in}{ft}[/tex]
so
using proportion
Part A)
[tex]\frac{1}{3}\frac{in}{ft}=\frac{5}{x}\frac{in}{ft}\\ \\x=5*3\\ \\x=15\ ft[/tex]
therefore
[tex]5\ in=15\ ft[/tex]
Part B)
[tex]\frac{1}{3}\frac{in}{ft}=\frac{7}{x}\frac{in}{ft}\\ \\x=7*3\\ \\x=21\ ft[/tex]
therefore
[tex]7\ in=21\ ft[/tex]
Solve the inequality.
4d + 7 ≤ 23
Answer:
d ≤ 4
Step-by-step explanation:
4d + 7 ≤ 23
Subtract 7 from both sides:-
4d ≤ 16
d ≤ 4
[tex]Solution, 4d+7\le \:23\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:d\le \:4\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:4]\end{bmatrix}[/tex]
[tex]Steps:[/tex]
[tex]4d+7\le \:23[/tex]
[tex]\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides},\\4d+7-7\le \:23-7[/tex]
[tex]\mathrm{Simplify},\\4d\le \:16[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}4,\\\frac{4d}{4}\le \frac{16}{4}[/tex]
[tex]\mathrm{Simplify},\\d\le \:4[/tex]
[tex]\mathrm{The\:Correct\:Answer\:is\:d\le \:4}[/tex]
[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]
[tex]-Austint1414[/tex]
The coordinates of point b
Answer:
(3, -1) PLEASE GIVE BRAINLIEST
Step-by-step explanation:
which of the following have the same y-intercept as the eqaution y=2x+3
Considering it's concept, any function with f(0) = 3 was the same y-intercept as y = 2x + 3.
What is the y-intercept of a function f(x)?The y-intercept is f(0), that is, the value of y when x = 0, which is interpreted as the initial value of the function.
In this problem, the function is given by:
y = 2x + 3.
The y-intercept is given by:
y = 2(0) + 3 = 3.
Hence, any function with f(0) = 3 was the same y-intercept as y = 2x + 3.
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If (a, -8) is a solution to the equation -a = 4b - 7 what is a?
The value of 'a' when (a, -8) is a solution to the equation -a = 4b - 7 is '39'.
If we have the point (a, -8) as a solution to the equation -a = 4b - 7, and we're given the value of b from the point, which is -8, we can substitute this value into the equation to find 'a'.
Substituting b = -8 into the equation gives us:
-a = 4(-8) - 7
-a = -32 - 7
-a = -39
Now, we can solve for 'a' by multiplying both sides by -1 to get:
a = 39
Therefore, the value of 'a' is 39.
There are some rabbits and some hutches. If eight rabbits are put in each hutch, one rabbit is left over. If eleven rabbits are put in each hutch, one hutch is left empty. How many rabbit hutches are there, and how many rabbits are there?
Answer:
there's 33 rabbits and 4 hutches
Step-by-step explanation:
8 x 4 = 32 plus the one left over
11 x 3 = 33 with and extra hutch
Answer:
33 rabbits and four hutches
Step-by-step explanation:
;)brainliest?
HELP PLEASE whats the rate of change
Find the length of side x in simplest radical form with a rational denominator
It's the triangle 30° - 60° - 90°.
The sides are in proportion 1 : √3 : 2 (look at the picture).
Therefore we have:
[tex]x=\dfrac{\sqrt6\cdot\sqrt3}{2}=\dfrac{\sqrt{(6)(3)}}{2}=\dfrac{\sqrt{18}}{2}=\dfrac{\sqrt{(9)(2)}}{2}\\\\=\dfrac{\sqrt9\cdot\sqrt2}{2}=\boxed{\dfrac{3\sqrt2}{2}}[/tex]
Answer:
ok
Step-by-step explanation:
5(-6)plus (-7)
Please help
Answer:
-37
Step-by-step explanation:
Well for the multiplication its easy because if it is different signs then all you have to do is multiply it normally the add the negatuve sign.
6×5=30
-6×5=-30
2. For adding negative number to a negative number you just add it on.
Answer:
-37
Step-by-step explanation:
Remember to follow PEMDAS and the left -> right rule.
PEMDAS:
Parenthesis
Exponent (& roots)
Multiplication
Division
Addition
Subtraction
----------------
Also, note the rules of sign:
Multiplying...
Positive number and another positive number will result in a positive answer.
Positive number and a negative number will result in a negative answer.
Negative number and another negative number will result in a positive answer.
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Note the question:
5 x -6 + (-7)
First, change the sign for -6 + -7. Note the rule above and change the sign.
5 x -6 - 7
Next, solve. Remember to follow PEMDAS. Multiply 5 and -6 together
5 x -6 = -30
Then, combine the remaining terms.
-30 - 7 = -37
You're answer:
-37
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