Answer:
x^2 -9
Step-by-step explanation:
(x + 3)(x − 3)
FOIL
first x*x =x^2
outer -3x
inner 3x
last -3*-3 =-9
Add together
x^2 -3x+3x -9
Combine like terms
x^2 -9
The student council at Mountain View High School plans to conduct a survey to determine the student body's opinion of the new lunch menu. Which of the following sampling methods would be most likely to result in nonresponse bias? O A. Handing out a questionnaire to seniors only 0 B. Obtaining an alphabetical list of all students and surveying every 10th student O C. Setting up a booth in the lunchroom where students can give their thoughts D. Handing out a questionnaire to students leaving campus at lunchtime
Answer:
C. Setting up a booth in the lunchroom where students can give their thoughts
Step-by-step explanation:
Sampling is the process by which some part of the entire population is selected and researched. This selected population helps in estimating the researches for the entire population. There are various methods used for the process of sampling.
For the given case, the sampling method to be adopted is to view each students' opinion on the issue. For this process, setting up a booth can prove helpful as the opinion of every student can be viewed with no biases. Also, every student is free to provide their opinion with any fear.
i need help on this!!
Answer:
1, -0.5, -6.25
Step-by-step explanation:
The number in the left box is the leading coefficient. The coefficient of x^2 is 1, so that goes in the first box.
__
The number in the second box is half the coefficient of x, divided by the leading coefficient:
(1/2)(-1)/1 = -1/2
__
The number in the third box (k) is the number required to make the rewritten g(x) match the original g(x). So far, we have ...
g(x) = 1(x -1/2)^2 + k = x^2 -x -6
x^2 -x +1/4 +k = x^2 -x -6 . . . . . expand the square
1/4 +k = -6 . . . . . . . . . . . . . . . . . subtract the x-terms from both sides
k = -6 1/4 . . . . . . . . . . . . . . . . . . subtract 1/4
So, you have ...
[tex]g(x)=\boxed{1}(x+\boxed{-0.5})^2+\boxed{-6.25}[/tex]
The perimeter of a rectangle is 38 units. The length is 13 units longer than the width. What are the dimensions of the rectangle?
A 18 by 5
B. 12 by 7
Oc is by a
0.16 by
Answer:
D (Presumably)
16 by 3
Step-by-step explanation:
The perimeter of a rectangle is the two lengths added with the two widths. In a formula, this is:
[tex]P=2l+2w[/tex]
Where l is the length and w is the width.
We are told the length is 13 units longer than the width. In other words:
[tex]l=w+13[/tex]
We also already know that the perimeter is 38 units. So, let's substitute P for 38 and l for (w+13) to solve for w:
[tex]P=2l+2w\\38=2(w+13)+2w[/tex]
Distribute:
[tex]38=2w+26+2w[/tex]
Combine like terms:
[tex]38=4w+26[/tex]
Subtract 26 from both sides:
[tex]12=4w[/tex]
Divide both sides by 4:
[tex]w=3[/tex]
Thus, the width is 3 units.
Since the length is 13 units longer than the width, the length is 16 units.
In which step was the addition property of equality applied? A. step 2 B. step 3 C. step 4 D. The addition property of equality was not applied to solve this equation.
Answer:
Step 2
Step-by-step explanation:
The addition property of equality was applied in step 2. The '- 9' value had to be 'undone', so '9' was added to each side of the equation, which would be an application of the addition property of equality, to yield step 3.
Hope this helps.
The correct option is A. Step 2.
Given the image in question as we saw in step 2, 9 has been added to both sides of the equation,right hand side and left hand side.
Hence in step 2 the addition property of equality applied.
So, the correct option is A. step 2.
For more details on equality follow the link:
https://brainly.com/question/1178055
3. Solve: 4x + 2 = 3x -9
Answer:
x=-11 is the answer
Step-by-step explanation:
4x + 2 = 3x -9
4x-3x+2=-9
1x=-9-2
x=-11
hope it will help ^_^
Which simplified fraction is equal to 0.1ModifyingAbove 7 with bar? StartFraction 9 Over 17 EndFraction StartFraction 8 Over 45 EndFraction StartFraction 17 Over 9 EndFraction StartFraction 16 Over 90 EndFraction Please help i will give you brainliest
Answer:
8/45
Step-by-step explanation:
Define x to be the value of your fraction:
[tex]x=0.1\overline{7}\\\\10x=1.7\overline{7}\qquad\text{multiply by 10}\\\\10x-x=1.7\overline{7}-0.1\overline{7}=1.6\\\\x=\dfrac{1.6}{9}=\dfrac{8}{45}\qquad\text{divide by 9; put in lowest terms}[/tex]
____
When in doubt, you can use your calculator to see which fraction gives you 0.1777777778.
_____
We multiplied by 10^1 above, because there is 1 repeating digit. The power of 10 we use matches the number of repeating digits.
Answer:
8/45
Step-by-step explanation:
and have a good day
A, B and C together can finish a piece of work in 4 days, A alone can do it in 12 days and B alone in 18 days. How many days will be taken by C to do it alone?
Answer:
9 days
Step-by-step explanation:
Let x = days taken by C to do it alone
In one day, A can do: 1/12 (part of the whole work)
In one day, B can do: 1/18 (part of the whole work)
In one day, C can do: 1/x (part of the whole work)
In one day,together A, B and C can do: 1/4 (part of the whole work)
we have this equation:
1/x + 1/12 + 1/18 = 1/4
--> 1/x = 1/4 - 1/12 - 1/18 = 1/9
--> x = 9 (days)
Phillip deposited $7,775 into a savings account 14 years ago. The account has an interest rate of 4.5% and the balance is currently $14,398.87. How often does the interest compound? (2 points)
daily
monthly
quarterly
annually
Answer:
annually
Step-by-step explanation:
Compound interest formula:
A = P(1 + r/n)^(nt)
amount of interest = balance - principal
Try daily:
A = 7775(1 + 0.045/365)^(365 * 14)
A = 14,597.88
This is too much money, so it was compounded less than daily.
Try monthly:
A = 7775(1 + 0.045/12)^(12 * 14)
A = 14,581.23
This is too much money, so it was compounded less than monthly.
Try quarterly:
A = 7775(1 + 0.045/4)^(4 * 14)
A = 14,547.16
This is too much money, so it was compounded less than quarterly.
Try annually:
A = 7775(1 + 0.045/1)^(1 * 14)
A = 14,398.87
This is the correct amount, so it was compounded annually.
Answer: annually
The sum of Micah’s age and Aria’s age is 29. Aria is 5 years older than twice Micah’s age. Let x represent Micah’s age. The equation that can be used to find Micah’s age is x + (x + 5) = 29. x + (2 x + 5) = 29. x + (2 x) = 29. x + (2 x minus 5) = 29
Answer:
B, x + (2x + 5) = 29
Step-by-step explanation:
x, being Micahs age.
the 2, as twice the age.
5, the additional amount older.
Answer:
Yup hes right
Step-by-step explanation:
find the sum and difference of the greatest and the least six digit number formed by the digits 2,0,4,7,6,5 using each digit only once
Answer:
See below
Step-by-step explanation:
The greatest number formed by those numbers is: 765420
The least number formed by those number is: 204567
The sum is: 765420 + 204567 = 969987
The difference is: 765420 - 204567 = 560853
Answer: Hi!
First we need to form the biggest and smallest number out of these digits. To do this it's pretty simple - just order the numbers from greatest to least for the greatest number, and from least to greatest for the least number! (However, for the least number, we will have to put the zero in front of 2, the second least number, because we can't put 0 in front of 2 and still be actually using it in the number.)
Greatest: 765420
Least: 204567
Now we add the numbers together:
765420 + 204567 = 969987
Now we subtract the numbers:
765420 - 204567 = 560853
These are your answers!
Hope this helps!
Simplify the following expression as much as possible. 4^10/4^10 x 7^0=?
Answer:
1
Step-by-step explanation:
4^10/4^10 x 7^0 =
= 4^(10 - 10) * 1
= 4^0 * 1
= 1 * 1
= 1
Step-by-step explanation:
divide 4 to the tenth with 4 to the tenth first
the multiply it with 7 to the zero.
( 0 as an exponent is one)
ANSWER: 1
f(x) = -x - 3 Find f(-4) f(-4) = -(-4) -3
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{f( - 4) = 1}}}}[/tex]
Step-by-step explanation:
Given, f ( x ) = - x - 3
Let's find the value of f ( - 4 )
[tex] \sf{f( - 4) = - ( - 4) - 3}[/tex]
We know that , [tex]( - ) \times ( - ) = ( + )[/tex]
⇒[tex] \sf{ 4 - 3}[/tex]
Subtract 3 from 4
⇒[tex] \sf{1}[/tex]
Hope I helped!
Best regards!!
You are working with a quadratic equation and construct the following table.
Answer:
a) Vertex is at (-3, -1)
b) y-intercept is at (0,8)
c) x intercept is at (-4,0) and (-2,0)
d) x=-3
Step-by-step explanation:
We know the vertex is the lowest or highest part of a parabola meaning all the points are reflected across. It is the only y value without a matching pair
E.x. -1 and 1, -3 and 3
The only point without a corresponding y value is (-3,-1) therefore the vertex is at (-3,-1)
The y-intercept is where the parabola meets the y axis or the x value is equal to 0, we just have to find when x = 0 to find the y intercept
y intercept: (0,8)
For the x intercept's it is just the reverse, you need to find where the parabola crosses the x axis or when y = 0
x intercept 1:(-4,0)
x intercept 2: (-2,0)
The axis of symmetry is also the x coordinate of the vertex which is 3 so
x = 3
Finding the Constant of Proportionality from a Graph
Hi there! :)
Answer:
[tex]\huge\boxed{8}[/tex]
Find the constant of proportionality using
rise ( y value) / run ( x value):
Therefore:
8 / 1 = 8 = constant of proportionality
We can go ahead and check our work as well:
16 / 2 = 8
24 / 3 = 8
32 / 4 = 8
Therefore, 8 is the correct constant of proportionality.
When two lines cross itis found that the angles opposite each other are the same size. They are known as
Answer:
"vertical angles"
Step-by-step explanation:
Those are "vertical angles."
Katie is making chocolate candies for her classmates' Valentine's Day gifts. She melts 12.8 ounces of chocolate and divides it among 40 candy molds. If Katie divided the melted chocolate evenly, how much would each candy weigh?
Answer:
0.32 ounces of chocolate per mold
Step-by-step explanation:
Answer:
the correct answer is 3.125
Step-by-step explanation:
Write an equivalent expression by distributing the "-−" sign outside the parentheses: 2h-(-2.3k-4) 2h−(−2.3k−4)
Answer:
[tex]2\cdot h +(2.3\cdot k + 4)[/tex]
Step-by-step explanation:
This expression is solved algebraically:
1) [tex]2\cdot h -(-2.3\cdot k - 4)[/tex] Given
2) [tex]2\cdot h +(-1)\cdot [(-1)\cdot (2.3)\cdot k + (-1)\cdot (4)][/tex] [tex](-1)\cdot a = -a[/tex]
3) [tex]2\cdot h + [(-1)\cdot (-1)]\cdot (2.3\cdot k+4)[/tex] Distributive property.
4) [tex]2\cdot h +(2.3\cdot k + 4)[/tex] [tex](-a)\cdot (-b) = a\cdot b[/tex]/Modulative property/Result
Using the order of operations, what should be done first to evaluate (-2)³ + 4 ÷ (-15 + 9)(3) - 4?
Answer:
use BODMAS
brackets
of
division
multiplication
addition
subtraction
or Americans would use BEDMAS I think
so it'll be 8 + 4 ÷ (-24) × (3) - 4 = 35
u can break the brackets down further
Answer:
Its a on ed
Step-by-step explanation:
Jessie leaves home at 7:30 am and rides his bike to school at a speed of 9 miles per hour. If his school is 3 miles from his house, what time will he get to school?
Step-by-step explanation:
d =r*t
d=3 mi
r =9 mi/hr
3=9t
t=1/3 hr
Convert hour to min
t=20 min added to 7:30
The time will he get to school is 7:50 AM
cos2A is equivalent to: A. sin2A−cos2A B. sin2A+cos2A C. cos2A−sin2A D. cosA−sinA
Formatted Options:
A. sin²A−cos²A
B. sin²A+cos²A
C. cos²A−sin²A
D. cosA−sinA
Answer:
C. cos²A−sin²A
Step-by-step explanation:
From the double angle formulas, we know that:
cos (A + B) = cosAcosB - sinAsinB
So, if B = A, then the above equation becomes;
cos(A + A) = cosAcosA - sinAsinA [i.e replacing B with A]
=>cos(2A) = (cosA)² - (sinA)²
=> cos(2A) = cos²A - sin²A
Therefore,
cos(2A) is equivalent to cos²A - sin²A
The function h(x) = 5x2 – x – 6 is the result of combining two functions using multiplication. Which functions could have been combined? f(x) = 5x – 6 and g(x) = x + 1 f(x) = 5x – 2 and g(x) = x + 3 f(x) = 5x3 + 14x2 – 9x – 18 and g(x) = x + 3 f(x) = 25x3 – 15x2 – 28x + 12 and g(x) = 5x – 2
Answer:
f(x) =5x -6 and g(x) = x + 1
Step-by-step explanation:
5x^2 - x - 6
finding the product of AC where A is 5 and C is -6 equals -30
factors of -30 whose sum eqjals -1 are +5 and -6
substitute into the expression
5x^2 + 5x -6x - 6
group the expression
(5x^2 + 5x) (-6x - 6)
take out the common factors in each bracket
5x(x + 1) -6 (x + 1)
(5x - 6) (x + 1)
Answer:a
Step-by-step explanation:
Which of the following is equivalent to √8?
A.2
B.√2
C.2 √2
D.2 + √2
Answer:
[tex]C.2\sqrt{2}[/tex]
Step-by-step explanation:
Step 1: Know you can split 8 into factors of 4 and 2
[tex]\sqrt{(4)(2)}[/tex]
Step 2: Recognize 4 is a square number
[tex]\sqrt{(2^{2})(2) }[/tex]
Step 3: Because [tex]2^{2}[/tex] is squared you can move it out
[tex]2\sqrt{2}[/tex]
Therefore the answer is C
ANSWER 4 BRAINLIEST !!!!!!!!!!!!!!!!
What is the inverse of y =
1-7
?
4
Answer:
2
Step-by-step explanation:
I need help with expressions
what is x times negative 2
Answer:
-2x
Step-by-step explanation:
10,13,16,19
What is the 30th term?
Step-by-step explanation:
An=A1+(n-1)d
A30=10+(30-1)3
A30=10+(29)3
A30= 10+87
A30=97
it takes me a centuary to type
PLEASE HELP, I DON'T UNDERSTAND THIS! :(
Divide.
Answer:
Step-by-step explanation:
Hello, please consider the following.
We need to factorise as much as possible and eliminate the same term from numerator and denominator
[tex]\dfrac{\dfrac{x^2-4x-5}{x-2}}{\dfrac{2x-10}{x^2-4}}\\\\\\=\dfrac{(x^2-4x-5)}{(x-2)}\dfrac{(x-2)(x+2)}{(2x-10)}\\\\\\=\dfrac{(x-5)(x+1)(x+2)}{(2x-10)}\\\\\\\large \boxed{=\dfrac{(x+1)(x+2)}{2}}[/tex]
Thank you
5. For a given function ƒ(x) = x^5, a translation in the positive y-direction of two units is represented by which of the following?
options:
A) ƒ(x + 2) = (x + 2)^5
B) ƒ(x + 2) = ( x – 2)^5
C) ƒ(x) – 2 = x^5 – 2
D) ƒ(x) + 2 = x^5 + 2
Answer:
[tex]\huge \boxed{\mathrm{Option \ D}}[/tex]
Step-by-step explanation:
[tex]f(x)+k[/tex]
Is the formula for upward vertical translation.
[tex]f(x)-k[/tex]
Is the formula for downward vertical translation.
Where [tex]k[/tex] is the units being translated.
Translation in the positive y-direction is upward vertical translation.
[tex]k=2[/tex]
The translation is by 2 units.
The function becomes,
[tex]f(x)+2[/tex]
Answer:
Step-by-step explanation:
D) ƒ(x) + 2 = x^5 + 2
Find the 9th term using the general term a subscript n equals 4 (n minus 5 ).
Answer: The 9th term is 16.
Step-by-step explanation:
Given formula : [tex]a_n=4(n-5)[/tex], where n is a natural number using for determine the terms.
To find the 9th term , we substitute n= 9 in the above expression, we get
[tex]a_9=4(9-5)\\\\\Rightarrow\ a_9=4(4)\\\\\Rightarrow\ a_9=16[/tex] which is the 9th term.
Hence, the 9th term is 16.