[tex]6x^2-11x -7\\\\=6x^2+3x -14x -7\\\\=3x(2x+1) -7(2x+1)\\\\=(2x+1)(3x-7)[/tex]
The number of peanuts in bags is normally distributed with a mean of 172.5 peanuts and a standard deviation of 1.9 peanuts.
What is the z-score of a bag containing 168 peanuts?
−2.37
−2.06
−1.32
−1.05
On January 1, 2022 Hideki Matsuyama provides services in exchange for a $10,000 zero-interest bearing note due in 4 years. The effective interest rate for a note of this type is 15 percent. How much revenue does Hideki recognize on January 1, 2022?
Answer:
Revenue=$6000
Step-by-step explanation:
A = PRT
100
A= (10,000×4×15)/100
= (10,000×60)/100
= 600,000/100
=$6000
Hideki recognizes a $17,490.06 revenue.
What is Revenue?Revenue is the total amount of income generated by the sale of goods and services related to the primary operations of the business.
Given that on January 1, 2022, Hideki Matsuyama provides services in exchange for a $10,000 zero-interest bearing note due in 4 years, and the effective interest rate for a note of this type is 15 percent,
To determine how much revenue does Hideki recognize on January 1, 2022, the following calculation must be made:
x = 10000 x 1.15^4
x = 10000 x 1.749
x = 17490.06
Therefore, Hideki recognizes a $17,490.06 revenue.
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Monica buys a postage stamp the area of the stamp is more likely to be 1 square inch or 1 square meter? Explain
Answer:
HEyy
Step-by-step explanation:
its one square inch because if you think about it a little postage samp is very tiny
Which of the following is a polynomial function in standard form with zeros at 0, 2, and 4? f(x) = x(x + 2)(x + 4) f(x) = x(x – 2)(x – 4) f(x) = x3 – 6x2 + 8x f(x) = x3 + 6x2 + 8x
Answer:
f(x) = x^3 - 6x^2+8x
Step-by-step explanation:
Remember while you are studying polynomial functions that zeros are just the solutions (and are the x-intercepts on the graph).
The question said the zeros were 0, 2 and 4, so if you were solving the equation you would get:
x=0 and x=2 and x=4
Just "undo" that last step of solving and you get:
x = 0 and
x - 4 = 0 and
x - 2 = 0
These are the factors of the function and they do look just like the second option of answers on your question. But that is in factored form and they asked you for standard form.
so f(x)=x(x-2)(x-4) is almost there, but you need to multiply all the factors back together.
(x - 2)(x - 4)
use FOIL or distributive property or area model(box) method to multiply and get
x^2 - 6x + 8
Then multiply in the x using distributive property.
f(x) = x(x^2-6x+8)
f(x) = x^3 - 6x^2 + 8x
That's the final answer (the third choice of answers on your post.) I think of this as a "working backwards" problem because you start with solutions (zeros means solutions!) and work backwards to find factors, then the function.
Dan made $5000 in taxable income last year.
Suppose the income tax rate is 10% for the first $7500 plus 15% for the amount over $7500
How much must Dan pay in income tax for last year?
well, we know is 10% for the first 7500, but Dan only made 5000 of taxable income, so he's in that range of 0 - 7500, so he only gets to pay 10% of 5000.
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 5000}}{\left( \cfrac{10}{100} \right)5000}\implies 500[/tex]
A certain number added to its square is equal to 90. What is/are the number(s) that work?
Answer:
9,-10
Step-by-step explanation:
Let u be a number.
[tex]u + {u}^{2} = 90[/tex]
[tex]u {}^{2} + u - 90 = 0[/tex]
[tex](u + 10)(u - 9) = 0[/tex]
[tex]u = - 10[/tex]
or
[tex]u = 9[/tex]
9, -10
Determine the discriminant for the quadratic equation -3=x2+4x+1. Based on the discriminant value, how many
number solutions does the equation have?
real
Discriminant = b2-4ac
O 0
O 1
O 2
O 12
Number of solution for the given quadratic equation as Discriminant=0 is equals to 1.
What is quadratic equation?" Quadratic equation is defined as the polynomial containing variables with highest exponent equals to 2."
Formula used
For quadratic equation
[tex]ax^{2} +bx+c=0[/tex]
Discriminant = b²-4ac
According to the question,
Given quadratic equation
[tex]-3 = x^{2} +4x+1[/tex]
⇒[tex]x^{2} +4x+1 +3 =0[/tex]
⇒[tex]x^{2} +4x+4 =0[/tex]
Here, a=1 , b= 4 , c =4
Substitute the value in the formula we get,
Discriminant = [tex]4^{2} - 4(1)(4)[/tex]
= [tex]16 -16[/tex]
= 0
Number of solution discriminant =0 is 1.
[tex]x^{2} +4x+4 =0[/tex]
⇒[tex](x+2)^{2} =0[/tex]
⇒[tex]x= -2[/tex] has unique solution.
Hence, number of solution for the given quadratic equation as Discriminant=0 is equals to 1.
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A babysitter charges a rate of $15 per hour. how long was the babysitter there if she makes 40
Answer:
2.7
Step-by-step explanation:
15/1 = 40/x
Cross multiply: 40/15
Divide: 2.66
Round up: 2.7
2.7 times 15= 40.5
Answer:
2hrs. 40mins.
Step-by-step explanation:
A babysitter charges a rate of $15 per hour. How long was the babysitter there if she makes $40?
x = hours she babysat
Equation:
15x = 40
Divide to isolate x:
15x = 40
/15 /15
x = 8/3 hrs.
Now, we convert into hours and minutes, since she did work for more than an hour, to earn the $15 each hour.
We know that there are 60 mins. in an hour
60 * 8/3
480/3
160 mins.
Convert into hour and mins:
1 hr. = 60 mins
160/60 = 2 40/60 ==> 2 2/3
Convert 2/3 into mins to add to the hours:
60 * 2/3
120/3 = 40
2hrs. + 40 mins.
2hrs. and 40mins
Therefore, the babysitter was there for 2hrs. 40mins.
Hope this helps!
Solve for x in the equation x2-12x+36 = 90
X
=
O X=6+3/10
O x=6+217
X
X= 12+3^22
X= 12+3/10
Answer:
Step-by-step explanation:
hello : (x-6)² = 90 .....continu
Expand binomial (x+1)1
Answer:
x + 1Step-by-step explanation:
Given binomial
(x + 1)¹Use the property
a¹ = aThe binomial remains same without brackets
(x + 1)¹ = x + 1Tracy has 40 feet of material to make the perimeter of a rectangular sandbox for her little brother.
What rectangle with whole-number side lengths would give the sandbox with the greatest area?
Answer:
11 and 9
Step-by-step explanation:
With a width of 11 and a length of 9 the area of the rectangle would be
11 * 9 = 99
By adding 11 and 9, then mulitplying it by 2 we get the perimeter
11 + 9 = 20
20 * 2 = 40
The recursive formula for an arithmetic sequence is:
{a1 = -6
{an-an-1+2
What is the 3rd term in the sequence?
A. - 2
B. -4
C. -10
D. -18
15 There are 30 students in a class. 1 5 like football. How many students do not like football?
What is the value for y when x = 8
Answer:
x+y=0
8+y=0
y=8
Step-by-step explanation:
correct me if I'm wrong
Answer:
D. 44
Step-by-step explanation:
y = (8 x 5) +4
y= 40 + 4
y= 44
A babysitter charges a rate of $15 per hour. how long was the babysitter there if she makes $5
Answer:
20 mins.
Step-by-step explanation:
A babysitter charges a rate of $15 per hour. How long was the babysitter there if she makes $5?
x = hours she babysat
Equation:
15x = 5
Divide to isolate x:
15x = 5
/15 /15
x = 1/3 hrs.
Now, we convert into minutes, since she didn't work for a whole hour, to earn the $15
We know that there are 60 mins. in an hour
60 * 1/3
60/3
20 mins.
Therefore, the babysitter was there for 20 mins.
Hope this helps!
which is greater 1.59 or 1.6
Answer:
1.6 is greater than 1.59
Step-by-step explanation:
It goes. 1.5 -> 1.51 -> 1.52.... -> 1.58 -> 1.59 -> 1.6 -> 1.61...
In a writing competition, the first place winner receives 1/2 of the prize money. The second runner up receives 1/4 of what the winner won. What was the total amount of prize money distributed if the winner receives $8000
Answer:
10,000 is the total amount of.money that was distributed
Paul invests £500 at a rate of 1.5% per year compound interest.
Find the value of the investment after 3 years.
Give your answer correct to the nearest penny.
Tthe value of Paul's investment after 3 years would be equal to 52,285 penny.
How to calculate compound interest?Mathematically, compound interest is calculated by using this formula:
[tex]A=P(1+r )^{t}[/tex]
Where:
A is the future value.P is the principal.R is the interest rate.T is the time measured in years.Given the following data:
Principal = £500.
Time = 3 years
Interest rate = 1.5% = 0.015.
Substituting the given parameters into the formula, we have;
A = 500(1 + 0.015)³
A = 500(1.015)³
A = 500 × 1.0457
A = £522.85.
Conversion:
100 penny = 1 pounds.
X penny = 522.85 pounds.
Cross-multiplying, we have:
X = 522.85 × 100
X = 52,285 penny.
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A culture started with 6000 becteria. after 3 hours it grew to 7200 becteria. Predict how many bacteria will be present after 19 hours. Round your answer to the nearest whole number. p=ae^kt
Answer: 13,600.
Step-by-step explanation: every hour is 400 bacteria produced. 400x19= 7600. 7600+6000=13600
Mrs. Becker drives past the Route 50 drawbridge light every morning on the way to
work. Eight out of 10 times, the traffic light is red. There are only 25 days of school le
how many of those days should she expect to get stopped at that light?
Answer:
20 days
Step-by-step explanation:
1) [tex]\frac{8}{10}[/tex] must be written as a fraction where the denominator is 25 since there are 25 days of school.
[tex]\frac{8}{10} = \frac{x}{25}[/tex]
2) Cross multiply them.
[tex]10(x) = 25(8)[/tex]
[tex]10x = 200[/tex]
3) Solve for [tex]x[/tex].
[tex]x = \frac{200}{10}[/tex]
[tex]x = 20[/tex]
Rodney says that he can draw two rectangles that have the same areas but different perimeters.
Which of the following pairs of rectangles could Rodney draw?
Select all that apply.
LIVE
A rectangle with side lengths 4 cm and 6 cm and a rectangle with side lengths 2 cm and 12 cm
LIVE
A rectangle with side lengths 4 cm and 6 cm and a rectangle with side lengths 2 cm and 8 cm
LIVE
A rectangle with side lengths 3 cm and 6 cm and a rectangle with side lengths 2 cm and 9 cm
LIVE
A rectangle with side lengths 5 cm and 6 cm and a rectangle with side lengths 2 cm and 9 cm
LIVE
A rectangle with side lengths 5 cm and 4 cm and a rectangle with side lengths 2 cm and 7 cm
Answer:
A rectangle with sides lengths 4cm and 6cm and a rectangle with side lengths 2cm and 12 cm...
Mae has 36 orange slices. She will fill each of
7 bags with the same number of orange slices.
How many slices will be in each bag? How many
slices will be left over?
Answer:
5 orange slices will be in each bag with 1 left over
Step-by-step explanation:
36 ÷ 7 = 5 with a remainder of 1
Evaluate [tex]\frac{1}{2^{-2}x^{-3}y^{5} }[/tex] for x=2 and y=-4.
A)-16
b)-4
c)[tex]-\frac{1}{32}[/tex]
d)16
Answer:
[tex]\bf C)\: -\cfrac{1}{32}[/tex]
Step-by-step explanation:
[tex]\tt \cfrac{1}{2^{-2}x^{-3}y^5}[/tex]
[tex]\tt x=2\\y=-4[/tex]
~
Substitute ''x'' with '2' & 'y' with "-4":-
[tex]\tt \cfrac{1}{2^{-2}\times \:2^{-3}\left(-4\right)^5}[/tex]
First let's solve [tex]\tt 2^{-2}\times \:\:2^{-3}\left(-4\right)^5[/tex]
[tex]\tt 2^{-2}\times \:2^{-3}=\boxed{\cfrac{1}{32} }[/tex]
[tex]\tt \cfrac{1}{32}\left(-4\right)^5[/tex]
Calculate exponents:- -4^5= -1024
[tex]\tt \cfrac{1}{32}\left(-1024\right)[/tex]
Remove parentheses, apply rule:- [tex]\tt a\left(-b\right)=-ab[/tex]
[tex]\tt-\frac{1}{32}\times \:1024[/tex]
[tex]\tt \cfrac{1}{32}\times \cfrac{1024}{1}[/tex]
Apply fraction rule:-
[tex]\tt -\cfrac{1\times \:1024}{32\times \:1}[/tex]
[tex]\tt \cfrac{1024}{32}[/tex]
Divide numbers:-
[tex]\tt -32[/tex]
Now that we're done factoring the denominator let's bring down the numerator which is ' 1 ':-
[tex]\tt -\cfrac{1}{32}\;\; \bf Answer[/tex]
☆-------☆-------☆-------☆
[tex]\dfrac 1{2^{-2}\cdot x^{-3}\cdot y^5}\\\\=\dfrac 1{2^{-2} \cdot2^{-3} \cdot (-4)^5}\\\\=-\dfrac 1{2^{-2} \cdot 2^{-3} \cdot (2^2)^5}\\\\=-\dfrac{1}{2^{-2} \cdot 2^{-3} \cdot 2^{10}}\\\\=-\dfrac{1}{2^{-2-3+10}}\\\\=-\dfrac 1{2^{5}}\\\\=-\dfrac 1{32}[/tex]
On Friday, Hayley has purchased more flour and eggs, but only has 22 cups of sugar and 4 sticks of butter. Which combination of loaves of zucchini bread and banana bread can Hayley make?
Answer:
It is C
Step-by-step explanation:
which of the following are solutions
Answer:
-5 and 9
Step-by-step explanation:
To find the solutions we will factor the equation.
First we take out a 2:
[tex]2(x^2-4x-45)[/tex]
Then we can factor again:
[tex]2(x+5)(x-9)[/tex]
This provides us with the answer of:
[tex]x+5=0[/tex]
and
[tex]x-9=0[/tex]
Hence the solutions of -5 and 9.
Is 10 times as much as 0.007
Answer:
10 x 0.007 = 0.07
Step-by-step explanation:
im not sure if thats what you meant
The points (4,7) and (r. – 5) lie on a line with slope – 3. Find the missing coordinate r
Answer:
[tex]r=\frac{14}{3}[/tex]
Step-by-step explanation:
Set up an equation and solve for r using the formula for slope:
[tex]\frac{5-7}{r-4}=-3\\ \\-2=-3(r-4)\\\\-2=-3r+12\\\\-14=-3r\\\\\frac{14}{3}=r[/tex]
solve the system of equations:
-3x + 7y = -15
3x + 5y = 15
what do X and Y equal?
Answer:
x=5
y=0
Step-by-step explanation:
Let's solve the system of equations through elimination
Solving by elimination is when you add or subtract one equation by the other to eliminate one variable
In this case, adding 3x and -3x would cancel each other out so we should add the equations
[tex]-3x + 7y = -15\\+(3x + 5y = 15)\\0+12y=0\\12y=0[/tex]
Now solve for y
Divide both sides by 12 to isolate y
[tex]12y=0\\\\\frac{12y}{12} =\frac{0}{12} \\\\y=0[/tex]
Now sub in the value of y into one of the original equations and solve for x
[tex]3x+5y=15\\3x+5(0)=15\\3x=15\\[/tex]
Divide both sides by 3 to isolate x
[tex]\frac{3x}{3} =\frac{15}{3} \\x=5[/tex]
The formula for a ciprofloxacin otic drop
quantity of each ingredient required to is given in the literature as follows10:
make 1500 g of the powder. Ciprofloxacin 1 g
Calcium Carbonate Propylene Glycol 5 parts 50 mL
Magnesium Oxide Glycerin qs ad 1 part 100 mL
Sodium Bicarbonate 4 parts How many grams of ciprofloxacin Bismuth Subcarbonate 3 parts would be required to prepare 200 15-mL
Answer:
I dont know bro, I am here for the free answers.
The transformation of triangle ABC is an example of what?
Answer:
The relation between preimage and image
Step-by-step explanation:
