The polynomial [tex]3x^5 + 7x^6 + 11x^7 - 12x - 10[/tex] is in standard form if the exponents are arranged in decreasing order.
Polynomial in Standard FormPolynomial is an algebraic expression with one or more terms. For example :[tex]2x^3+6x^4+x^2+x+2[/tex]. In this example and in your exercise the exponents of the terms are not arranged in order.
Um polynomial is in Standard Form when the exponents of the terms are in decreasing order. See more details below.
[tex]2x^3+6x^4+x^2+x+2[/tex]is not in standard form because the exponents are not written in decreasing order.
[tex]6x^4+2x^3++x^2+x+2[/tex] is in standard form because the exponents are written in decreasing order.
Therefore, the given polynomial will be in standard form if yours exponents are arranged in decreasing order.
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4. What property justifies the work done in Line 3?
Line 1: 2c + 3C -22 = 78
Line 2: 5c - 22 = 78
Line 3: 5c - 22 + 22 = 78 + 22
Line 4: 5c = 100
Line 5: C = 20
O Subtraction Property of Equality
Commutative Property of Addition
o Associative Property of Addition
Addition Property of Equality
Answer:
Addition Property of Equality
Step-by-step explanation:
Addition Property of Equality.
The addition property of equality justifies the work done in Line 3. This is because it essentially states that if you add something to one side of an equation, you must add it to the other side as well. In this case, we are adding 22 to both sides of the equation, therefore we are making use of the Addition Property of Equality.
carlos sells 32 muffins at a bake sale. jake sells 25 fewer muffins. how many muffins does jake sell?
Answer:
Jake sells 7 muffins at the bake sale.
Step-by-step explanation:
If Jake sells 25 fewer muffins than Carlos, you must subtract the number of muffins Jake sells from the number of muffins Carlos sells.
32-25 = 7
(-2,y) and (2,4); slope: 1/4
Answer:
y =3
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please help me!!
Find the measure of x.
Round your answer to the nearest hundredth.
Answer:
x=3.42
Step-by-step explanation:
[tex] \sin(20) = \frac{x}{10} [/tex]
[tex]x = 10 \sin(20) = 3.42[/tex]
Answer:
x = 3.420 (to the nearest hundredth)
Step-by-step explanation:
Trig ratios:
sin(x) = O/H
cos(x) = A/H
tan(x) = O/A
where x is the angle, O = side opposite the angle, A = side adjacent to the angle, H = hypotenuse
We have been given:
angle = 20°
opposite side to angle = x
hypotenuse = 10
Therefore, we should use sin(x) = O/H
Substituting the above values into the trig ratio:
⇒ sin(20) = x/10
⇒ x = 10 sin(20)
⇒ x = 3.420 (to the nearest hundredth)
What is the slope for these points (2,0.5), (6,1.5), (10,2.5), and (14,3.5)
Answer:
1/4 or .25
Step-by-step explanation:
y value is increasing by 1 between each point while x is increasing by 4
slope = rise over run or 1/4 in this case
Help me yall This stuff is pretty easy I just hate graphs please
Use given triangle to fill in the blank.
Answer:
Your answer is A/B.
Because TanA =P/B
if you studied for 10 hours last week but studied only 4.5 hours this week, by what percent did your time spent decrease from last week to this week?
122.2% decrease
55.0% decrease
40.5% decrease
32.1% decrease
Answer:
55
Step-by-step explanation:
55% = 5.5 hours. 4.5+5.5= 10 hours.
the sum of a number q and sixty-four divided by eighty-three
Answer:
(q + 64) ÷ 83
Step-by-step explanation:
(q + 64) ÷ 83
The answer is (q + 64) ÷ 83
The area of a rectangular vegetable patch is 32 square meters. The perimeter is 24 meters.
What are the dimensions of the vegetable patch?
Please help
Answer:
When l = 4m , breadth is 8m
When l = 8m , breadth is 4m .
Step-by-step explanation:
Here it is given that the area of a rectangular patch is 32m² . If we assume length to be l and breadth to be b , then ;
[tex]\longrightarrow Area_{rectangle}=length\times breadth\\ [/tex]
[tex]\longrightarrow 32m^2 = lb \dots (i) [/tex]
Again , it's given that the perimeter is 24m .We know that perimeter of a rectangle is ,
[tex]\longrightarrow Perimeter = 2(l+b)\\ [/tex]
[tex]\longrightarrow 24 = 2( l +b)\\ [/tex]
[tex]\longrightarrow l + b = 12\dots (ii) [/tex]
From equation (i) and (ii) , we have ;
[tex]\longrightarrow l + \dfrac{32}{l}=12\\\\\longrightarrow \dfrac{l^2+32}{12}=1\\\\\longrightarrow l^2+32=12l \\\\\longrightarrow l^2-12l +32=0\\\\\longrightarrow l^2-4l -8l +32=0 \\\\\longrightarrow l( l -4) -8(l-4)=0\\\\\longrightarrow(l-4)(l-8)=0 \\\\\longrightarrow \underline{\underline{ l = 4,8}} [/tex]
Therefore , we can find breadth as,
[tex]\longrightarrow l + b =12\\\\\longrightarrow b = 12 - l \\\\\longrightarrow b = 12-8, 12-4\\\\\longrightarrow \underline{\underline{b = 4,8}}[/tex]
Identify whether the conclusion was a result of induction or deduction. Write D if it is Deductive and I if it is Inductive on the space provided.
__________1. A quadrilateral has four sides.
A rectangle has four sides.
A rectangle is a quadrilateral.
__________2. If an angle is obtuse, then it cannot be acute.
__________3. If 3, 6, 9 and 12 are the first four terms, then 15 is the fifth term.
__________4. Ray is to an angle as side is to a triangle.
__________5. Trees can be found in a forest.
Birds live on trees.
Therefore, birds can be found in a forest.
__________6. If 3:6, 6:18 and 12:54, then 24:162
__________7. All animals are mortal.
All humans are animals.
Therefore, all humans are mortal.
__________8. If a polygon has five sides, then it is a pentagon.
__________9. All trees are plants.
All acacia are trees.
Thus, all acacia are plants.
__________10. If a number is divisible by 2, then it is even.
Answer:
34 is the right answer I have already done it
help me solve for x please
Answer:
I got u x= 29. ( Your welcome )
Step-by-step explanation:
3x+15 +2x+20=180 because a line is 180 duhh
we collect like terms and we get
5x +35=180 we decrease in both sides by 35
5x=145
x=145/5
x=29
Please answer. I will give brainliest.
How do you find the distance between 2 points?
Answer: How to Find the Distance between Two Points on a Graph
1
Take the coordinates of two points you want to find the distance between.
2
Know the distance formula. This formula finds the length of a line that stretches between two...
3
Find the horizontal and vertical distance between the points.
4
Square both values. This means that you will square the x-axis distance (x2 - x1).
Step-by-step explanation:
(6/4-2/4)•(2-1/2)=? Con solucion
Answer:
[tex] \frac{1}{2} [/t
Step-by-step explanation:
[tex]( \frac{6}{4} - \frac{2}{4} ) \times (2 \times \frac{1}{2} )[/tex]
[tex]( \frac{6 - 2}{4} ) \times ( \frac{2 - 1}{2} )[/tex]
[tex] \frac{4}{4} \times \frac{1}{2} [/tex]
[tex] \frac{1}{2} [/tex]
Im so confused please helpp
Answer:
x=115
Step-by-step explanation:
I hope this helps you!!
Y’all please help
Find the missing length round to the nearest 10th if necessary
Answer:
c ≈ 70.7
Step-by-step explanation:
Solve using the Pythagorean theorem:
[tex]50^2 =50^2 = c^2[/tex][tex]2500 + 2500 = c^2\\[/tex][tex]5000 = c^2[/tex][tex]c = \sqrt{5000[/tex][tex]c = 70.71067811....[/tex][tex]c = \text{approx 70.7}[/tex]
-Chetan K
3 contributes Mary Jackson did to math
How many numbers between 0 and 1000 end in 0. Not including 0 or 1000.
What is the slope of the line?
8x-6y=18
Answer: y=4/3x -3
Therefore the slope is 4/3
Step-by-step explanation:
distribute your x to the other side and divide
Answer:
4/3
Step-by-step explanation:
8x-6y=18
-6y=18-8x
divide all terms by -6
y=-3+4x/3
y=4x/3 -3
y=4/3x -3
slope 4/3
Which expression calculates the speed in meters per second of an object that travels a distance of 40 m every 10 s?
10÷40
or
40 + 10
or
40/10
or
40×10
Answer:
40/10 [4 meters/sec]
Step-by-step explanation:
Watch for what the units are telling us. The number that is being requested
is speed in units of meters/sec. We are given 40 meters and 10 seconds. If we divide 40 meters by 10 seconds (10 meters/10 seconds), we get 4 meters/sec, the correct dimension.
Need help asap algebra 2 edge 30 points
Answer:
B
Step-by-step explanation:
What is the distance between the points A(2,11) and B(−7,9) ? Round to the nearest tenth if necessary.
Step-by-step explanation:
the distance between 2 points is the Hypotenuse of a right-angled triangle with the legs being the x coordinate difference and the y coordinate difference.
so, Pythagoras applies.
c² = a² + b²
distance² = (2 - -7)² + (11 - 9)² = 9² + 2² = 81 + 4 = 85
distance = sqrt(85) = 9.219544457... ≈ 9.2
The distance between the points A(2,11) and B(−7,9) is d = √85.
What is Distance Formula?There are two points (a, b) and (c, d) then the distance between two points is
d= √(c -a)² + (d-b)²
We have the points A(2, 11) and B(-7, 9).
Using the Distance Formula
d = √(-7-2)² + (9-11)²
d= √(-9)² + (-2)²
d= √81 + 4
d = √85
Thus, the distance between points is √85 unit.
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An mp3 player is on sale for 30% off the regular price of $39. 98. How much is the discount? a. $11. 99 b. $13. 19 c. $13. 33 d. $27. 99.
Answer:
b
b because 30% off of 39.98 is 27.98 and if u do 39.98 minus 11.99 it is 27.99
i need some help with math ill give brainlest if correct
Drag the tiles to the correct boxes to complete the pairs.
Using the properties of integer exponents, match each expression with the correct equivalent expression.
Answer: 1st box: (2²)² x (2³)⁻³
2nd box: (-2⁻⁴)⁻² x (2²)⁰
3rd box: (-2²)⁻⁶ / (2⁻⁵)⁻⁴
4th: 2⁴(2²)⁻²
im confused please help with this
Answer: f(x) = 3x^(2)-2x+1
f(x) = 3x^(2)-2x+1 = y-intercept (0, 1).
g(x) = -10x^(2)+50x = y-intercept (0, 0).
As we see, the first equation (f(x) = 3x^(2)-2x+1) has a y-intercept of (0, 1), while the other equation (g(x) = -10x^(2)+50x) has a y-intercept of (0, 0). This means that the quadratic equation that has the greatest y-intercept is f(x) = 3x^(2)-2x+1, which is (0, 1).
Step-by-step explanation:
Hope this helps =)
please solve 27-12p+p²
Answer:
p2 - 12p - 27
Step-by-step explanation:
mark me brainiest
Answer: ( P - 9 ) ( p - 3)
......Should be ur answer. have a wonderful day kind person!!!!!
I need help with no.7
Answer:
(a) 315°
(b) 3°
(c) 238°
Step-by-step explanation:
Bearings are measured clockwise from north. The triangle described is illustrated in the attachment.
(a)The bearing of P from R is 180° different from the bearing of R from P it will be ...
135° +180° = 315° . . . . bearing of P from R
__
(b)The bearing of Q from R is 48° more than the bearing of P from R, so is ...
315° +48° = 363°, or 3° . . . . bearing of Q from R
__
(c)The angle QPR has a value that makes the sum of angles in the triangle equal to 180°. It is ...
180° -48° -55° = 77°
The bearing of Q from P is 77° less than the bearing of R from P, so is ...
135° -77° = 58°
As above, the reverse bearing from Q to P is ...
58° +180° = 238° . . . . bearing of P from Q
In your drawer, you have 4 shirts (blue, green, yellow, or orange) and 2 pants (jeans and khakis) to choose from for the day. What is the probability of choosing a blue shirt and khakis?
Question options:
1/6
0
1/2
1/8
What is the smallest number that has a remainder of 1, 2, and 3 when divided by 2, 3, and 4, respectively? Are there more numbers that have this property?
Answer:
11 is the answer.
Step-by-step explanation:
11 and 23 are the answers.
Step-by-step explanation:
Multiple of 2 increase 1 =
[tex]3,5,7,9,11,13,15,17...[/tex]
Multiple of 3 increase 2 =
[tex]5,8,11,14,17...[/tex]
Multiple of 4 increase 3 =
[tex]7,11,15,19...[/tex]
Here, we can see the smallest number is 11
There are more numbers having this property such as 23.
[tex]23 \div 2 = 11...1[/tex]
[tex]23 \div 3 = 7...2[/tex]
[tex]23 \div 4 = 5...3[/tex]