Answer:
[tex]x = 9.33(appx)[/tex]
Step-by-step explanation:
If two angles form an supplementary angle, their sum will be 180°.
In the question , angleM & angleR form a supplementary angle.
[tex] = > 13x + 40 + 2x = 180[/tex]
[tex] = > 15x + 40 = 180[/tex]
[tex] = > 15x = 180 - 40 = 140[/tex]
[tex] = > x = \frac{140}{15} = 9.33(appx)[/tex]
Given f(x) = -2x³ + x² - 2 find f(1) -3 -1 1 3
Answer:
-3
Step-by-step explanation:
Substitute -1 into the expression for every place of x, and evaluate it.
Why are they parallel?
Answer:
a and d are parallel
Step-by-step explanation:
Find the 15th term of the arithmetic sequence whose common difference is d=9 and whose first term is a, = 2.
Find a polynomial function with leading coefficient 1 that has the given zeros, multiplicities, and degree. Zero: 2, multiplicity: 3 Zero: 0, multiplicity: 2 Degree: 5
Given:
Zero: 2, multiplicity: 3
Zero: 0, multiplicity: 2
Degree: 5
Leading coefficient = 1
To find:
The polynomial function.
Solution:
The general form of a polynomial is
[tex]P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}[/tex]
where, a is a constant, [tex]c_1,c_2,...,c_n[/tex] are zeroes with multiplicity [tex]m_1,m_2,...,m_n[/tex].
Using the given information and the general form of a polynomial, we get
[tex]P(x)=a(x-2)^{3}(x-0)^{2}[/tex]
[tex]P(x)=ax^2(x^3-6x^2+12x-8)[/tex]
[tex]P(x)=a(x^5-6x^4+12x^3-8x^2)[/tex]
Leading coefficient is 1, so the value of a is also 1.
[tex]P(x)=1(x^5-6x^4+12x^3-8x^2)[/tex]
[tex]P(x)=x^5-6x^4+12x^3-8x^2[/tex]
Therefore, the required polynomial is [tex]P(x)=x^5-6x^4+12x^3-8x^2[/tex].
The polynomial for the conditions with leading coefficient 1 that has the given zeros, multiplicities, and degree. Zero: 2, multiplicity: 3 Zero: 0, multiplicity: 2 Degree: 5 is given as
[tex]\rm\bold{ y(x) = 1\times (x-2)^3(x-0)^2 }[/tex]
According to the given condition
The given conditions to write the polynomial equations are as follows
Zero 2 and Multiplicity 3
Zero 0 and Multiplicity 2
Degree of polynomial expression = 5
Leading coefficient of polynomial expression = 1
Let us consider the polynomial equation has only one variable and hence in general form we can write the equation of polynomial as follows
[tex]\rm y (x) = a(x-\alpha)^m (x-\beta)^n........(1)\\Where \\a = Leading \; coefficient\; of\; polynomial\; expression \\\alpha ,\beta = Roots \; of \; the\; polynomial\; expression\\m\; and \; n \; are \; multiplicities \; of \; the \; roots \; \alpha,\beta \; respectively\\Degree = m+n[/tex]
From the general form of polynomial expression as shown in equation (1) we can write
Polynomial expression for the given conditions is formulated in equation (2)
[tex]\rm y(x) = 1\times (x-2)^3(x-0)^2 .......(2)[/tex]
So the polynomial for the conditions given in question is expressed as
[tex]\rm\bold{ y(x) = 1\times (x-2)^3(x-0)^2 }[/tex]
For more information please refer to the link given below
https://brainly.com/question/15301188
Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen. Write an equation that gives the amount of snow that has fallen after x hours at this rate.
y = ?
Answer:
y=2x
it already gives you that in 2 hours four inches of snow has fallen. to find one hour you would basically just divide it in half
8. Given: GI +JL, GH = KL
Prove: HI~=JK
Answer: the length of GH is half the length of KL
Step-by-step explanation: edge 2021
Azel has 10 apples and Emily has 5 apples
Where does emily live?
A. Port geese 2546
B. In Atlanta
C. Nowhere
D. All the above
Answer: I think all of the above
Step-by-step explanation:maybe there traveling so…
When 40% of a number is added to the number, the result is 168.
What is the number?
Answer:
-100.8
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
Let's call the number x. 40% of that number is 4/10x, or 0.4x
So x + 0.4x = 168
1.4x = 168
1.Divide each side by 1.4
x = 120
The number is 120
help plz as soon as possible
i need the answers asap :) please actually answer! i give lots of points :)
Answer:
I say 65 hours hope it helps
Step-by-step explanation:
Hat is \text{P(heads})P(heads)start text, P, left parenthesis, h, e, a, d, s, end text, right parenthesis? If necessary, round your answer to 222 decimal places.
Question:
You flip a fair coin ; What is P(heads)? If necessary, round your answer to 2 decimal places
Answer:
[tex]P(Head) =0.50[/tex]
Step-by-step explanation:
Given:
A fair coin
Required
Determine [tex]P(Head)[/tex]
A coin has two faces (Head (1) and Tail (1) )
i.e. 1 head and 1 tail
Both of which have equal probability, which is calculated as follows:
[tex]P(Head) = P(Tail) = \frac{1}{1 + 1}[/tex]
[tex]P(Head) = P(Tail) = \frac{1}{2}[/tex]
[tex]P(Head) = P(Tail) = 0.5[/tex]
Hence:
[tex]P(Head) =0.50[/tex]
Answer: Its 0.50
Step-by-step explanation:
Write these as normal numbers.
a)
5.1 x 10^8
b)
9.6 x 10°
c) 2.44 x 10
d)
5.023 x 100
Answer:
a) 510000000 c) 24.4 d) 502.3
Step-by-step explanation:
Whitney's bill at a diner came up to $26.00. What would her total be if she included a 20% tip?
Tax using the percent equation.
Henry places x marbles into an empty bucket.Each marble has the same weight. The weight, in ounces, of the bucket and marbles can be calculated using the expression shown
Complete Question:
Henry places x marbles into an empty bucket. Each marble has the same weight. The weight, in ounces, of the bucket and marbles can be calculated using the expression shown: 3x + 8
What does the term 8 represent in this expression?
Answer:
The weight of the bucket
Step-by-step explanation:
Given
[tex]Weight = 3x + 8[/tex]
Required
What does 8 represent?
The given expression illustrates the weight of the whole system i.e. bucket and marbles
i.e.
[tex]Weight = Weight\ of\ x\ marble + Weight\ of\ Bucket[/tex]
Since there are x marbles, by comparison:
[tex]Weight\ of\ x\ marble = 3x[/tex]
[tex]Weight\ of\ bucket = 8[/tex]
Hence, 8 represents the weight of the bucket
Pls anyone help i will give brainlist
Answer:
D
Step-by-step explanation:
sry if im wrong i tried
Answer:
0; 1; 2; 3. The slopes are 2, 0, 1, 3 from top to bottom, but from least to greatest it is 0, 1, 2, 3
Which point lies on the graph of the equation 3x+y=9
A. (-1,9) b. (9,0) c. (1,1) d. (0,9)
each 6 cup container costs 2.95 . How much did Henry's mom spend on lemonade?
Answer:
Henry's mom spent $17.70 on lemonade.
Step-by-step explanation:
6 x 2.95 = 17.7
. Give the domain and range of the relation please help this is for my math hw
Answer:
for the domain, find the point on the farthest side (the left) and the closest (the right)
so for yours it would be [-3,2]
it's brackets because the points are closed.
for the range, same thing but for the y intercept.
so it's [-2,4]
there's your answer!
1) Mrs. Houser is baking cookies for an elderly neighbor. She decides to make half of this cookie recipe since she doesn't need the whole thing. Look at the recipe and then answer the questions below
Answer:What’s the question that we have to answer?
Step-by-step explanation:
Answer: it would be 2 1/3 cups
Step-by-step explanation:
Please help!
Karl bought 312 gallons of milk that cost $2.70 per gallon.
What was the total cost of the milk?
Enter your answer in the box.
$
Answer:
you have to divide the gallons with the money per gallon
Step-by-step explanation:
Answer:
$842.40
Step-by-step explanation:
2.70 x 312
Which shows one way to determine the factors of x3 + 5x2 – 6x – 30 by grouping?
Answer:
Work shown below;
Step-by-step explanation:
Factor by grouping:
[tex]x^{3}+5 x^{2}-6x-30\\(x^{3}+5 x^{2}) (-6x-30)\\x^{2} (x+5)-6(x+5)\\(x^{2}-6 )(x+5)[/tex]
A dice is rolled.
What is the probability of getting a 2 or
a 4?
Answer:
1/3 or 3.33
Step-by-step explanation:
There are 6 sides to dice, and to land on one side is a 1/6th of a chance. to land on 2 possible sides, you do 1/6+1/6 which equals 2/6 which is equivalent to 1/3 or 3.33 as a decimal.
I hope this helps and good luck!
Answer:
1/3 or 3.3333333333333333333 repeating
Step-by-step explanation:
A normal dice has 6 sides. You are asking the probability of getting two of them. 2 ÷ 6 = 1/3, or 33.3 repeating
I Hope That This Helps! :)
This is the problem ......
Answer:
4/18
Step-by-step explanation:
Marissa knits caps that she supplies to several baby stores. She purchases five bundles of yarn for $62.50. Select the
quantities that would best help determine how many bundles of yarn she will need per month to knit caps.
ОА. .
amount of yarn needed for each cap and number of caps knitted in a month
OB. cost to produce each cap and price per bundle of yarn
OC. number of caps knitted in a month and cost to ship the caps to each store
OD. price per bundle of yarn and amount of yarn needed for each cap
Answer:
I think OA because you would need to know how much yarn for each cap and how many caps she will make
Pls help meeee. Given 2
Answer:
think 2 could be wrong
Brainlest pls
Step-by-step explanation:
x
will give brainly for whoever answers first!!
Answer:
B
Step-by-step explanation:
hope this helped
-B
please find the value of x!
Answer:
the equation would be 9x+1=30
Evaluate the expression when a=-4 and x=5.
a-2x
Answer:
That would be -14.
Step-by-step explanation:
Answer:
it's -14 when u evaluate a-2x
A tv costs £800 plus VAT at 20%.
What is the total cost of the TV?
Answer:
Step-by-step explanation:
800+20%
20%= (20/100)
800/100=8*20=160
add to original price= 800+160=960
Graph the line that passes through the points (4,-6) and (-4,-8) and determine the equation of the line.
Answer:
y=1/4x-7; can't put graph on here
Step-by-step explanation:
m=y2-y1/x2-x1
m=-8+6/-4-4=-2/-8=1/4
put it in point-slope form with (4,-6) as the base
y-y1=m(x-x1)
y+6=1/4(x-4)
y+6=1/4x-1
y=1/4x-7