Answer:
y=4x−11
Step 1: Flip the equation.
4x−11=y
Step 2: Add 11 to both sides.
4x−11+11=y+11
4x=y+11
Step 3: Divide both sides by 4.
[tex]\frac{4x}{4}[/tex] = [tex]\frac{y+11}{4}[/tex]
x= [tex]\frac{1}{4} y[/tex] + [tex]\frac{11}{4}[/tex]
y=-8x + 13
Step 1: Flip the equation.
−8x+13=y
Step 2: Add -13 to both sides.
−8x+13+−13=y+−13
−8x=y−13
Step 3: Divide both sides by -8.
[tex]\frac{-8x}{8}[/tex] = [tex]\frac{y- 13}{-8}[/tex]
x= [tex]\frac{-1}{8}y[/tex] + [tex]\frac{13}{8}[/tex]
Last year's cost, c, of a water park season pass increased 35%. The expression C+0.35c can be used to represent the increased price of a season pass. What is another expression that can be used to find the the new cost of a season pass?
Answer:
c+35/100c
Step-by-step explanation:
Use synthetic division to find the quotient if polynomial P(x) = x3 – 7x + 6 is divided by x – 2.
Question 17 options:
A)
x2 – 2x + 3
B)
x2 – 2x – 3
C)
x2 + 2x – 3
D)
x2 + 2x + 3
Answer:
C.) [tex]x^2+2x-3[/tex]
Step-by-step explanation:
They give us the function; [tex]P(x)=x^3-7x+6[/tex], which is then divided by the binomial, [tex](x-2)[/tex].
We can use polynomial synthetic division to solve this! First, let's understand how we must use it properly.
As we can tell from the function [tex]P(x)=x^3-7x+6[/tex] , there is an exponent value of 3, and an "invisible" exponent of one on -7x. When doing the synthetic division, we must put in a zero before we introduce the term '-7x' in our process of division.
The binomial [tex](x-2)[/tex] tells us that we are dividing the function by that, but we have to take the opposite value of the integer value, and here's why.
[tex](x-2)=0[/tex]
If we are trying to solve for 'x' here, we have to add plus sides by two, and we get x=2. That is what we have to put on the left side of the synthetic division we will use, we are essentially stating that one of the root/solution(s) to the function is 2, and we get verification of that when the synthetic division results in zero towards the end.
Then when the synthetic division has been done, since we are dividing by that binomial, we take out the values that we know already, which are '1', '2', and '-3', and take away one power of exponent to each of them (if applicable)
Thus, leaving us with our answer, [tex]x^2+2x-3[/tex].
The required quetient of the given expression is x² - 2x -3. Options C is correct.
What is synthetic division?It is a method for performing division of polynomials, with little writing and lesser calculations than complex division.
here,
synthetic division is given as,
put divisor equal zero,
x - 2 = 0 so x = 2
Now,
Arranging the division with zero and coefficients and constant of the expressions,
2 | 1 0 -7 6
+ 2 4 -6
----------------------------
1 2 -3 0
So, the question, by synthetic division is given as x² + 2x -3.
Thus, the required quetient of the given expression is x² - 2x -3. Options C is correct.
Learn more about synthetic divisions here:
brainly.com/question/11850611
#SPJ2
Sophia spent $75.00 of her $225.00 paycheck on new shoes. What percent of her paycheck did she spend on the new pair of shoes?
Your answer:
if you do solve please make an explanation :)
Answer:
33.33%
Step-by-step explanation:
75*100=7500
7500/225=33.3333333
please help me answer this!! i will give brainliest and 5 star rating!!
6th grade math i mark as brainliest
Answer:
dividend is 30
divisor is 6
Step-by-step explanation:
PLEASE HELP ASAP !!!!!!!!!!!!!!!!!!!
The variables x and y vary directly. Use the values to write an equation that relates x and y. y=2 ; x=10
Answer:
20=y*x = 2*10=20
Step-by-step explanation:
If this is what you are asking for here q-q
What is the value of P?
Answer:
5P= 2P+21+45 ( sum of two sides is is equal to
the opposite exterior angle)
5P=2P +61
5P-2P=61
3P=61
p= 61÷3
p=2.33333
Answer:
p=22
Step-by-step explanation:
idek how i got this answer but i think its right.
As an estimation we are told 5 miles is 8 km.
Convert 92 km to miles.
Answer:
105 miles
Step-by-step explanation:
Solve for z.
|z| + 13 = 11
A. null set
B. z = –2
C. z = 24
D. z = –2 or 2
Answer:
[A] Null Set
Explanation:
|z| + 13 = 11Subtract 13 From Both Sides
|z| + 13 - 13 = 11 - 13
Simplify
z = -2
Absolute Value Cannot Be Less Than 0, Therefore There Is So Solution
[A] Null Set
Answer:
null set
Step-by-step explanation:
Find the measure of the angle indicated
Answer:
60° and 67°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
(49)
17x + 8 is an exterior angle of the triangle, thus
17x + 8 = 50 + 10x ( subtract 10x from both sides )
7x + 8 = 50 ( subtract 8 from both sides )
7x = 42 ( divide both sides by 7 )
x = 6
Thus
∠ C = 10x = 10(6) = 60°
(50)
99° is an exterior angle of the triangle, thus
2x + 10 + 6x + 1 = 99 , that is
8x + 11 = 99 ( subtract 11 from both sides )
8x = 88 ( divide both sides by 8 )
x = 11
Thus
∠ T = 6x + 1 = 6(11) + 1 = 66 + 1 = 67°
Can someone please help!!
Answer:
Step-by-step explanation:
the last one
Explain what you would do first to simplify the
expression below. Justify why, and then state the
result of performing this step.
312
1212
2
4+²
Answer:
how do you do this
Step-by-step explanation:
Rose how r u doing with Sofie???
The sales tax rate in New Mexico is 5.125%. What will you pay for a $14.50 area rug in New Mexico after tax?
Answer:
15.243125
Step-by-step explanation:
we need to calculate how much would be the tax for 14.5$
so 14.5 * 5.125% = 0.743125
and then we will add that to 14.50
i dont feel like doing this i have to
find the equation for the line
Answer:
y = 1/2x + 1.5
Step-by-step explanation:
first find the slope and then put it in y= x+b
you can see that to get from (-1,1) to (1,2) you must go up one and over two
slope is = rise over run --> rise 1 and run 2
the b is were it hit threw the y intercept
She needs a little less than 4 pounds to make 12 turkey burgers because 1/3 times 12 is about 3.99 pounds. But she only has 3 3/8 pounds which is about 3.375 pounds.
Answer:
10 burgers
Step-by-step explanation:
[tex]{3.375pounds}(\frac{12 burgers}{3.99pounds})=(\frac{xburgers}{3.375pounds}){3.375pounds}\\xburgers=10.15\\[/tex]
so you get 10 burgers
or you could approach it
[tex]\frac{3.375}{(1/3)} =[/tex]3.375×3=10.125
Which shows the numbers Nine-tenths, 0.3, 0.8, Five-tenths, and Two-tenths in order from least to greatest?
0.3, Five-tenths, Nine-tenths, Two-tenths, 0.8
Two-tenths, 0.3, Five-tenths, 0.8, Nine-tenths
Five-tenths, Two-tenths, 0.3, 0.8, Nine-tenths
Nine-tenths, 0.8, Five-tenths, 0.3, Two-tenths
Answer:
Step-by-step explanation:
Let's express all the given numbers as decimals:
nine tenths- 0.9
0.3
0.8
five tenths- 0.5
two tenths- 0.2
Ordering them from least to greatest:
two tenths, 0.3, five tenths, 0.8, nine tenths
Answer:
B is your answer
Step-by-step explanation:
Pls helppppppppp!!!!!!’
Answer:
it c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
If y=10x+0.08
Is this relationship proportional? At least 1 sentence explanation.
Answer:
No it is not proportional.
Step-by-step explanation:
i still need help im the highest in class but need help
Answer:
A 16%
Step-by-step explanation:
Can I get the answer ?
Answer:
If the triangle is the same length on the right it will be the same on the left so its 62°
Step-by-step explanation:
Hey! Hoped I helped Im Eve btw Have an amazing day and consider marking this brainliest please. If you do thank you in advanced.
Answer:
58 degrees
Step-by-step explanation:
A triangle is 180 degrees total. 60+62= 122. 180-122= 58. The last angle is 58
A band expects to put 16 songs on their next CD. The band writes and records 75% more songs than they expect to put on the CD. During the editing process, 75% of the songs are removed. How many songs will there be on the final CD?
Answer:
7 songs
Step-by-step explanation:
75% of 16 is 12
16 + 12 = 28
75% of 28 is 21
28 - 21 = 7
Answer:
7 songs
Step-by-step explanation:
-2/3h-4=4/3
a. -3
b.-8
c.3
d.8
Answer:
its b
Step-by-step explanation:
The Casey family uses up a 1/2 gallon jug of milk every 3 days. At what rate do they drink milk?
Answer:
1/6
Step-by-step explanation:
1/2 divided by 3
simplify 4p^5q^3*p^2^-4
24p+7q
-----------
12
Answer:
[tex]4p^{5q^{3} -2}[/tex]
Step-by-step explanation:
The base would stay the same as nothing is being multiplied.
A poetry class won a $325 prize. The 13 students in the class share the prize equally. How many dollars does each student receive(If you can please show your work!)
Part B: You can also find the standard deviation for the binomial probability distribution of a specific outcome in a binomial experiment. Use the formula to find the standard deviation. You've already identified n and p in Part A. Show your work, and round your answer to two decimal places.
Answer:
Mean = np + n(n-1)p²
Standard Deviation= √ σ² = √npq
Step-by-step explanation:
The m.g.f of the binomial probability distribution b(x;n,p) is derived as below.
M₀t = E (e)^tx
= ∑(e)^tx (nCx) (p)^x q^(n-x) { x varies from 0 to n}
= ∑(e)^tx (nCx) (pe^t)^x q^(n-x)
= (q +pe^t)^n
The expansion of this binomial is purely algebraic and need not to be interpreted in terms of probabilities.
WE get the moments by differentiating M₀(t) once, twice, etc. with respect to t and putting t=0
Thus
μ₁` = E(X) = [ d/dt (q +pe^t)^n] t=0
= [ npe^t (q +pe^t)^n-1] t=0
= np
And
μ₂` = E(X²) = [ d²/dt² (q +pe^t)^n] t=0
= [ npe^t (q +pe^t)^n-1] + [ n(n-1)p²e^²t (q +pe^t)^n-2] t=0
= np + n(n-1)p²
Variance= μ₂= μ₂` - μ₁`²
σ² =E(X²)- E(X)²
σ² =np + n(n-1)p²- (np )²
σ² =npq
Standard Deviation= √ σ² = √npq
need help please answer
Answer:62.73
sin-1 8 divide by 9
Plz help ASAP!!!! I NEED IT!!!!!If you don't know the answer plz don't use an answer to say "oh idk" or sum like that
The shape we are referring to is the singular one
Which shapes are similar but not congruent to shape I?
The choices are the groups
Answer:
I wanna say the first picture second answer choice. Please tell me if I am right.
Step-by-step explanation:
Answer: The first group is the correct answer
Step-by-step explanation:
I took a test with this question got it right
exposed clout chaser