what is the degree of the polynomial. 5x²+8x²- 4x⁴+x. (a) 2 (b) 1 (c) 4 (d) 8
Answer:
4
Step-by-step explanation:
5x²+8x²- 4x⁴+x
The degree is the highest power
The highest power is 4
The degree is 4
Which choice is equivalent to the fraction below when x is an appropriate value? 4/4-sqrt(6x)
Answer: Choice C) [tex]\frac{8+2\sqrt{6x}}{8-3x}[/tex]
======================================
Work Shown:
[tex]y = \frac{4}{4-\sqrt{6x}}\\\\y = \frac{4(4+\sqrt{6x})}{(4-\sqrt{6x})(4+\sqrt{6x})}\\\\y = \frac{4(4+\sqrt{6x})}{4^2 - (\sqrt{6x})^2}\\\\y = \frac{4(4+\sqrt{6x})}{16-6x}\\\\y = \frac{2*2(4+\sqrt{6x})}{2(8-3x)}\\\\y = \frac{2(4+\sqrt{6x})}{8-3x}\\\\y = \frac{8+2\sqrt{6x}}{8-3x}\\\\[/tex]
This shows why choice C is the answer.
----------------
Notes:
If you have a+sqrt(b) in the denominator, multiply top and bottom by a-sqrt(b) which is the conjugate, and that will rationalize the denominator.In the second step, I multiplied top and bottom by 4+sqrt(6x) to rationalize the denominatorIn step 3, I used the difference of squares rule. In the step afterward, the square root is eliminated.what is the equation of the following graph in vertex form?
Answer:
y = (x + 1)²
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 1, 0) , then
y = a(x + 1)² + 0
To find a substitute (0, 1), the y- intercept into the equation
1 = a(0 + 1)² = a
y = (x + 1)²
Martin had 60kgs of sugar. He put the sugar weighing 3/4 kg. How many packets did he fill ??
Answer:
45kg
Step-by-step explanation:
60.3/4=45
help please asap!!!Working too please not just the answers
Answer:
62
Step-by-step explanation:
12+12+3+3+7+10+15
you just add all the sides
Without multiplying, determine the sign of the product (−247,634) × (183,758).
the sign will be a negative sign -
Answer:
IN a series of multiplications (or divisions)
add up the negative signs ... if they are even the answer is positive "+"
the there is an odd number the answer will be negative "-"
Step-by-step explanation:
Math help please show work thanks
Answer:
Total material needed = 9.5 square feet
Step-by-step explanation:
Dimensions of I = 2. 5feet x 1 feet
Area = 2.5 square feet
Dimensions of S :
Top part = 1 feet x 1 feet
Area of top part = 1 square feet
Bottom part = 1 feet x 2.5 feet
Area of bottom part = 2.5 square feet
Total Area of S = 2.5 + 1 = 3.5 square feet
Total material needed = Area of I + Area of S + Area of S
= 2.5 + 3.5 + 3.5
= 9.5 square feet.
Instructions: Using the image, find the slope of the line. Reduce all fractions and enter using a forward slash (i.e.
"/"). If the slope is undefined, enter "undefined
Answer:
Δy = 5 Δx = 1
slope = [tex]\frac{5}{1}[/tex] = 5
Step-by-step explanation:
 15 miles in 10 hours would be how many miles per hour?
Answer:
1.5 miles per hour
Step-by-step explanation:
Take the number of miles and divide by the number of hours
15 miles / 10 hours
1.5 miles per hour
Please halp due today its fill in the blanks dont do it randomly please
fill in the blanks with the words at the bottom
If you shift the quadratic parent function, f(x)=x2 , right 10 units, what is the equation of the new function?
Answer:
Step-by-step explanation:
The standard form of a quadratic is
[tex]y=a(x-h)^2+k[/tex] where h is side to side movement (it's also the x coordinate of the vertex) and k is the up or down movement (it's also the y coordinate of the vertex). If there is no up or down movement, the k value is 0. (We don't need to worry about the value for a here; it's 1 but that doesn't change anything for us in our problem). Movement to the right is positive, so we are moving +10. Filling that into our equation:
[tex]y=(x-(+10))^2[/tex] and simplified:
[tex]y=(x-10)^2[/tex] That is the parent graph shifted 10 units to the right.
21
1
Simplify:
(Enter answer as a reduced fraction.)
3
12
Submit Question
Step-by-step explanation:
21/1
When a denominator is equal to 1, the fraction might be simplified, using this formula:
a/1=a
21/1=21
3/12
Reduce fraction
3/12=3÷3/12÷3
=1/4 or 0.25
the answer to this question
Answer:
1 square unit
Step-by-step explanation:
Area of the shaded region
= Area of the triangle with base 3 units and height 1 unit - Area of triangle with base 1 unit and height 1 unit.
= 1/2 *3*1 - 1/2 *1*1
= 1.5 - 0.5
= 1 square unit
What is EG?
EG = ____
Answer:
EG = 26
Step-by-step explanation:
We use the angle-bisector theorem here
The theorem is that given an angle that is bisected in a triangle, it splits the opposite side into two parts, with the ratio of the sides facing the angle and the adjoining leg equal for the two bisections
So, we have this as;
EF/ED = GD/FG
x/24 = x+10/54
54(x) = 24)x + 10)
54x = 24x + 240
54x-24x = 240
30x = 240
x = 240/30
x = 8
But;
EG = EF + FG
EG = x + x + 10 = 2x + 10
EG = 2(8) + 10
EG = 16 + 10 = 26
a square garden has an area of 6400 square find its perimeter
CAN SOMEONE HELP ME PLZ
Answer:
what is it's perimeter?
25% of 1 min (in sec)
What is the value of x when h(x) = -3?
Answer and Step-by-step explanation:
The answer is -7 (A.)
This is determined by looking at the graph. If you to to the x-point of -3 units, you will see there is a point at a y-value of -7 (units down).
#teamtrees #PAW (Plant And Water)
1850=12
2918=20
5044 = ?
7573=56
Answer:
1623 jajaggkcgaiahvs Kah kaye kaha
Is the relation a functi
on? ____ 1. {(14, 9), (15, 8), (8, 7), (1, 9), (15, 2)} a. yes b. no
Answer:
No
Step-by-step explanation:
This relation is a function because the x values have a repeating number (15).
Does anyone know the answer to this ?!? ( links and answers that have nothing to do with the question will be reported.)
Answer:
the triangle was 2x scale (*2)
it was reflected across y=0
and translated x +2
Step-by-step explanation:
Convert 4years to months.
Answer:
56 months 12+12x2=56 hope this helps
Step-by-step explanation:
plsssss help meeee ....i need the answerrrr
Answer:
20
Step-by-step explanation:
[tex] = \dfrac{ \sqrt[3]{125} \times \sqrt[3]{64} }{ \sqrt[3]{125} - \sqrt[3]{64} } [/tex]
[tex] = \dfrac{5 \times 4}{5 - 4} [/tex]
[tex] = \dfrac{20}{1} [/tex]
[tex] = 20[/tex]
If x = 2.7, 5x = ____. (Input decimals only, such as 12.7.)
Answer:
5x=13.5
Step-by-step explanation:
Well, we know that 1x=2.7. So, if we want 5x we need to multiply 2.7*5 becuase 1x=2.7, so 5x=2.7*5.
Multiply. 2.7*5=13.5
So, 5x=13.5.
Hope this helps!
Answer:
13.5
Step-by-step explanation:
5x = ?
Replace 'x' with 2.7.
5(2.7) = ?
5(2.7) = 13.5
Hope this helps.
In 1990, the cost of tuition at a large Midwestern university was $95 per credit hour. In 1999, tuition had risen to $221 per credit hour. Determine a linear function C(x) to represent the cost of tuition as a function of x, the number of years since 1990 C(x)= *answer here*
Answer:
The cost of tuition as a function of x, the number of years since 1990, is C(x)= 14*(x-1990) + 95
Step-by-step explanation:
A linear function is a polynomial function of the first degree that has the following form:
y= m*x + b
where
m is the slope of the function n is the ordinate (at the origin) of the functionSo, in this case: C(x)= m*( x-1990) + b where x is the number of years since 1990.
Given the coordinates of two points, it is possible to determine the slope m of the line from them using the following formula:
[tex]m=\frac{y2 - y1}{x2 - x1}[/tex]
In this case, you know that in 1990, the cost of tuition at a large Midwestern university was $95 per credit hour. And in 1999, tuition had risen to $221 per credit hour. So:
x1= 1990y1= 95x2= 1999y2= 221So the value of m is:
[tex]m=\frac{221 - 95}{1999 - 1990}[/tex]
[tex]m=\frac{126}{9}[/tex]
m= 14
So C(x)= 14*( x-1990) + b. In 1999, tuition had risen to $221 per credit hour. Replacing:
221= 14*(1999 - 1990) + b
221= 14*9 +b
221= 126 + b
221 - 126= b
95= b
Finally, the cost of tuition as a function of x, the number of years since 1990, is C(x)= 14*(x-1990) + 95
I need help ASAP. I will give brainliest.
Answer:
see below
Step-by-step explanation:
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = x-7
m = 1
b = -7
y = 4
m=0
b = 4
y = -2x+3
m = -2
b = 3
PLEASE HELP!! :0
q- what triangles are similar?
Answer:
A,B,C
Step-by-step explanation:
All right triangles,
Solve it !!
[tex]78 + 2 \div 2[/tex]
Answer:
79
Step-by-step explanation:
78 +2 ÷ 2
PEMDAS says divide first
78 + (1)
Then add
79
There are 1,765,000 five thousand dollar bills in circulation and 3,460,000 ten thousand dollar bills in circulation. Choose one bill at random (wouldn't that be nice!). What is the probability that it is a ten thousand dollar bill?
Answer: 0.662201
Step-by-step explanation:
Number of five thousand dollar bills in circulation = 1,765,000
Number of ten thousand dollar bills in circulation = 3,460,000
Total bills in circulation = 1,765,000 + 3,460,000 = 5225000
If one one bill is chosen at random, the probability that it is a ten thousand dollar bill will be:
= Number of ten thousand dollar bills in circulation / Total bills in circulation
= 3,460,000 / 5225000
= 0.662201
The probability that it is a ten thousand dollar bill is 0.662201.
cos (2a) [tg (2a) - tg (a)] = tg (a)
¿Alguien sabe?
Answer: I don’t know the answer but you the ap.p called math. way for any type of math it gives u all the answers
Step-by-step explanation:
I hope I helped
Trong k gian vecto R^3 , cho hệ B={u(2,1,-1),v=(3,2,5) , w=(1,-1,m)} a)xác định giá trị m để B là một cơ sở k gian R^3
Answer:
Dhhdhdhgdgdgd djjdhdhdhfh dbdjhdhfv djjdhfhhb is a hdhdh yhvggfff tghrh9