Answer:
Standard Form:-w^12+4w^11
Degree: 12 degree
Leading Coefficient: -1
Step-by-step explanation:
Standard Form: Order the exponents from greatest to least.
Degree: The largest exponent is the degree; the exponent in the first term, IF it is in standard form.
Leading Coefficient: The coefficient of the first term in standard form. There is and understood 1 before the w in the first term.
The required answers are given below,
Standard Form:-w¹²+4w¹¹
Degree: 12 degree
Leading Coefficient: -1
What are polynomials?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
Standard Form: Order the exponents from greatest to least. The largest exponent is the degree; the exponent in the first term, IF it is in standard form.
Leading Coefficient: The coefficient of the first term in standard form. There is an understood 1 before the w in the first term.
The answers are given as below,
Standard Form:-w¹²+4w¹¹
Degree: 12 degree
Leading Coefficient: -1
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If f(x) = 5x – 2 and g(x) = 2x+1, find (f+ g)(x).
A. 4x - 3
B. 3x - 1
O c. 7x-3
O D. 7x-1
SUD
Answer: 3x-3 apex
Step-by-step explanation:
TOPIC: similtaneous linear equations
p1 + 2q = 3,
p - 2q = 3
Answer:
q-0
p-3
Step-by-step explanation:
there are two ways to solve elimination or substitution method I'll use the latter
so take the second equation and find an expression equal to p
p-2q=3
p=2q+3
substitute the above expression in the first equation
(2q+3)1+2q=3
open brackets
2q+3+2q=3
collect like terms
4q+3=3
solve
4q=0
q=0
substitute q in any equation you want I'll choose the second
p-(2×0)=3
p-0=3
p=3
Answer:
p = 3 ; q = 0
Step-by-step explanation:
In this linear pair of eqn. in 2 variables , they have a unique solution i.e. they will have only single solution . We know that
[tex]p + 2q=3[/tex] & also [tex]p -2q=3[/tex] . So, we can also equate them as :-
[tex]p + 2q = p-2q[/tex] (∵ Both the eqn. have 3 in their right hand side product )
Solving the eqn. gives,
[tex]=> 2q + 2q = p-p\\=> 4q=0\\=>q=0[/tex]
Putting the value of q in any one of the linear eqn gives ,
[tex]p+2q=3\\=> p+2(0)=3\\=>p+0=3\\=>p=3[/tex]
I will give brainliest!!!! Which expressions are equivalent to j+j+2k? Choose all answers that apply: (Choice A) A 2jk (Choice B) B 2(j+j+k) (Choice C) C None of the above
Answer:
The Answer Is C
Answer:
CHOICE C.Step-by-step explanation:
They are not like terms, so they can't be added up.
!!!! I NEED HELP RIGHT NOW ITS DUE IM 5 MINUTES !!!!
Answer:
Step-by-step explanation:
A = h(a+b)/2 for h
2A = h(a + b)
h(a+b) = 2A
h = 2A/(a+b)
The size of the largest angle in a triangle is 3 times the size of the smallest angle.
The other angle is 35 more than the smallest angle.
Work out in degrees the size of each angle in the trianlge
You must show your working
Answer:
a = 29
b = 64
c = 87
Step-by-step explanation:
Let the angles be a (smallest), b, and c (largest).
We know that a triangle's angles must add up to 180 degrees, so we can construct the following equations.
a + b + c = 180
c = 3a
b = a +35
With some solving and substitution...
a + (a + 35) + c = 180
2a + c = 145
2a + (3a) = 145
5a = 145
a = 29
and therefore,
b = 29 + 35 = 64
c = 3(29) = 87
Answer:
Let smallest angle be :x
So, the largest angle will be:3x
And the other angle will be :x+35
According to angle sum property of triangle,
x+3x+x+35=180
5x+35=180
5x=180-35
5x=145
x=(145/5)
Therefore, x=29
So, the smallest angle =x=29
The largest angle=3x=87
And the other angle=x+35=64
(-12) +7
what’s the answer
A.-11
B.-17
C.4
D.-5
E.8
Answer:
D) -5
Step-by-step explanation:
When two numbers have different sign, subtract and the answer will have the sign of the bigger number.
Here the sign of bigger number is negative. So, (-5)
The graph of the function B is shown below. Find B(2).
1
-1
2
Answer: 2
Step-by-step explanation:
Answer:
The answer is 2
Step-by-step explanation:
Don't forget to thank and vote
Please does anyone know how to do this x
Step-by-step explanation:
Weight before diet: 208 pounds
After diet: 192 pounds
Difference in weight: 16 pounds
(16÷208)*100= 7.7%
When cut into 16 equal slices, each slice is 1/16 of the pizza. Express how much of the plzza 8 of these slices would be in decimal form.
Answer:
the answer is 0.5, or about 50%
Step-by-step explanation:
If 8 slices are being take out of 16, divide the taken pieces by the total pieces, and it would be half or 0.5.
Hope this helps
Answer: 0.5
Step-by-step explanation: because if the pizza is 8 slices that would be the half of the original number of slices it was, so therefore, it would be rounded to 0.5, or 50%- half the pizza
y is directly proportional to x when y=30, x=6
a) work out an equation connecting y and x
b) work out the value y when x=12
Answer:
a) y = 5x
b) y = 60
Step-by-step explanation:
Since, y is directly proportional to x when y=30, x=6
[tex] \therefore \: y \: \alpha \: \: x \\ \therefore \: y = kx ...(1) \\ plug \: y = 30 \: and \: x = 6 \: in \: eq \: (1)\\ 30 = k \times 6 \\ k = \frac{30}{6} \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\ \huge \red{ \boxed{y = 60}}[/tex]
Solve |y-2|<10
please
Wouldnt the answer be anything above 12? Because if Y is unknown, and you're taking 2 away from it, and it still has to be greater than 10, then it should be anything above 12. Unless it's saying that the number is greater than 10, and you are just taking away 2 from a number and it doesn't have to be greater than 10.
Factor the polynomial
12xsquared + 4x
Answer:
4x(3x+1)
Step-by-step explanation:
Factor 4x from the expression
You had $21 to spend on two notebooks. After buying them you had $17. How much did each notebook cost?
2$ each notebook
First you find how much you spent. You spent 4$ then divide it in half. That is how you get the answer.
A cone has a radius of 6 inches and a height of 11 inches. What is the volume of the cone? 30 points
Answer:
vol. = 414.7 in³
Step-by-step explanation:
given:
A cone has a radius of 6 inches and a height of 11 inches.
find:
What is the volume of the cone?
volume of a cone = ¹/₃ π r² h
where r = 6 in.
h = 11 in
plugin values into the formula:
vol. = ¹/₃ π (6)² 11
vol. = 414.7 in³
414.48 inches³
Step-by-step explanation:Volume formula
V = Ab×h/3
Ab = πr²
V = πr²×h/3
= 3.14(6in)²×11in/3
= 3.14×36in²×11in/3
= 1243.44in³/3
= 414.48 inches³
what is the solution to the equation:
4/3 times 2/3
Answer: [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
When you multiply fractions, it is the same as adding or subtracting, but you don't have to worry about having a common denominator. All you have to do is multiply straight across and simplify.
[tex]\frac{4}{3}*\frac{2}{3} =\frac{8}{9}[/tex]
Now we know the answer is [tex]\frac{8}{9}[/tex].
Answer:
8/9
Step-by-step explanation:
The answer is 8/9 because:
1) Whenever we multiply fraction, we have to multiply the numerator and the denominator together: numerator x numerator/denominator x denominator
2) Therefore, 4 x 2/ 3 x 3 = 8/9
Hope this helps! :D
If Sonja deposits $1,000 into a savings account at 4% simple interest, how long will it
take her to earn $100 in interest? (I = PRT)
Well, does she earn this interest per month?? or is it per year.
4% of $1000 is $40 dollars
so it would take her 2 years (If this 4% is due every year. if not just change the "year" to months) to reach 80 dollars. She just needs 20 dollars which is half of the 40 she earns per year. half of a year is 6 months so the answer would be
Sonja would need to keep her 1000 dollars in the savings account for 2 and a half years to earn 100 dollars exact.
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What is 442500 represented in scientific notation?
Answer:
4.425*10⁵
Step-by-step explanation:
442500 = 4.425 * 10 ⁵
pls help i need help 20 points
Answer:
[tex]63 \ cm^2[/tex]
Step-by-step explanation:
The area of a triangle is found using the following formula:
[tex]A = \frac{base * height}{2}[/tex]
The base of our triangle is 21 cm.
The height of our triangle is 6 cm.
[tex]A= \frac{6*21}{2} =3 * 21 = 63[/tex]
Our distance unit is cm, so our area will be in cm squared.
Answer: [tex]63 \ cm^2[/tex]
Answer:
63
Step-by-step explanation:
21 times 6, then divide by 2.
X to the second power(x to the fifth power)
What is the slope of the line that passes through the points (10,5) and (9,5)? Write
your answer in simplest form.
Answer:
slope of line is 0.
Step-by-step explanation:
Slope of a line passing through (x1,y1) and (x2,y2) is given by
m = (y2-y1)/(x2-x1)
Given points are (10,5) and (9,5)
thus
slope = (5-5)/(9-10) = 0/-1 = 0
Thus, slope of line is 0.
When slope of line is zero it means that the line the which passes through given point is parallel to x-axis.
The slope of the line that passes through the points (10,5) and (9,5) is 0.
Using slope formula,
m = y₂ - y₁ / x₂ - x₁
Therefore,
(10,5) (9,5)
m = 5 - 5 / 9 - 10
m = 0 / -1
m = 0
Therefore, the slope of the line that passes through the points (10,5) and (9,5) is 0.
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Identify the perimeter and area of a square with diagonal length 16 cm. Give your answer in simplest
radical form
Answer:
32r2, 128 cm ^2
The area and the perimeter of the square are 128 cm² and 32√2 cm, respectively.
What is a square?A square is a parallelogram, whose all sides are congruent and all angles are right angle.
Given that, a square with diagonal length 16 cm
Let the side of the square be a,
We know that, all sides of a square are congruent,
And, the diagonal divides it into two congruent right triangles,
Therefore, using Pythagoras theorem,
a²+a² = 16²
2a² = 256
a² = 128
a = 8√2
Area = side²
Therefore, area = 128 cm²
perimeter = 4×sides = 32√2 cm
Hence, the area and the perimeter of the square are 128 cm² and 32√2 cm, respectively.
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a -42+(-17)
b 8-(-9)
c 8(-9)
D
E
F
G
Answer:
.A -42+(-17)
Step-by-step explanation:
Find a general term an for the sequence whose first four terms are given.
2, 4, 8, 16, ...
Answer:
an = 2·2^(n-1)
Step-by-step explanation:
There are simple tests to determine whether a sequence is arithmetic or geometric. The test for an arithmetic sequence is to check to see if the differences between terms are the same. Here the differences are 2, 4, 8, so are not the same.
The test for a geometric sequence is to check to see if the ratios of terms are the same. Here, the ratios are ...
4/2 = 2
8/4 = 2
16/8 = 2
These ratios are all the same (they are "common"), so the sequence is geometric.
The general term of a geometric sequence with first term a1 and common ratio r is ...
an = a1·r^(n-1)
Filling in the values for this sequence, we find the general term to be ...
an = 2·2^(n-1)
What value of x makes this equation true?
3(x + 4) = 7x - 18
O x = 5
O x = 4.5
O x = 34.5
0 x = 75.
Answer:
x = 15/2 or x = 7.5
Step-by-step explanation:
Step 1: Write equation
3(x + 4) = 7x - 18
Step 2: Solve for x
Distribute 3: 3x + 12 = 7x - 18
Subtract 3x on both sides: 12 = 4x - 18
Add 18 on both sides: 30 = 4x
Divide both sides by 4: x = 15/2 or x = 7.5
8cm 10cm 10cm 12cm 34cm what’s the volume
what expressions have a value of 16/81
Answer:
(2/3)⁴, (4/9)² apply to 16/81
Step-by-step explanation:
16/81
8 * 2/27 * 3
4 * 2 * 2/9 * 3 * 3
2 * 2 * 2 * 2/3 * 3 * 3 * 3
What input corresponds to 54?
Answer:
Solve for the input that corresponds to the given output value. (Round answers to three decimal places when appropriate. Enter your answers as a comma-separated list. Note: Even though the question may be completed without the use of technology, the authors intend for you to complete the activity using the technology you will be using.
Step-by-step explanation:
What is a expanded form for 839,208
Step-by-step explanation:
800,000 + 30,000 + 9,000 + 200 + 8
Write 5.12 x 10⁵ in standard form.
MATH
10^5 = 100,000
5.12 × 10^5 in standard form = 5.12 × 100,000 = 512000
Answer: 512,000Answer:
10^5 = 100,000
5.12 × 10^5 in standard form = 5.12 × 100,000 = 512000
Answer: 512,000
Step-by-step explanation:
solve for a.
-6a = -18
Answer:
A=3
Step-by-step explanation:
Step 1: Divide both sides by -6/
-6a/-6= -18/-6
a=3