Step-by-step explanation:
By Factor Theorem, we have:
(x - 1)(x - 2)(x - 3)(x + 3)
= (x² - 3x + 2)(x² - 9)
= x⁴ - 3x³ - 7x² + 27x - 18.
Write an equation in point slope form of the line that passes through the point -4, 5 and has the slope of one.
Answer:
y - 5 = x + 4
Step-by-step explanation:
Use point slope form, y - y1 = m(x - x1) where m is the slope and (x1, y1) is a point on the line
Plug in the given point and slope:
y - y1 = m(x - x1)
y - 5 = 1(x + 4)
Simplify:
y - 5 = x + 4
So, the point slope form of the line is y - 5 = x + 4
Mary has a brownie recipe that calls for baking the brownies at 190°C for about 25 to 30 minutes.
Her oven measures temperatures in Fahrenheit only. At what temperature in Fahrenheit should she
set her oven to bake the brownies per the recipe? Enter the number only.
Answer:
374°F
Step-by-step explanation:
45 girls tried out for the field hockey team. 20% of the girls who tried out did not make the team. How many girls did not make the team?
It lagged earlier when I first asked
Answer:
9 girls did not make the team
Step-by-step explanation:
20*45=900
900/100=9
Answer:
9 girls didn't make the team
Step-by-step explanation:
The person above did it a great way, and that is the way I use it, but if you want a method that involves fractions here it is: 20% is the same as 1/5. Since there are 45 girls total, we need to find 1/5 of 45 and you can achieve that by multiplying 45 by 1/5 and you get 45/5 which is 9. Hope this helped :) .
Help ASAP Simplify 2^4.
8
16
32
24
Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’s bill is 7%. How much is Isaac’s total bill? If Isaac uses a coupon entitling him to a 25% discount off the purchase price before tax, how much will his bill be? Assume that a 7% sales tax is applied to the discounted price. Using words, explain how you found the discounted price. The shoe store’s clerks are paid on commission. If the clerk receives a 12% commission on total purchase amounts before tax is applied, how much would the commission be for Isaac’s purchase with and without a coupon?
Answer:
I wish I could help
Step-by-step explanation:
A family of two adults and three children went to a water park. Admission to the water park costs $18 per person. Nora used the expression 2(18)+3(18) to model the total cost for the family, and Alex used the expression 5(18). Which property of operations makes both of their expressions correct? O associative property O commutative property O distributive property identity property
Answer:
distributive property
Step-by-step explanation:
5(18)=2(18)+3(18)
Distributive property
c(a+b) = ca+cb
We are using the left hand side and adding a+b
18(2+3) = 2* 18+ 3*18
18*5 = 2* 18+ 3*18
Hey you! Yes you! You are awesome! Can you help me?
Answer:
a = -40
Step-by-step explanation:
In order for a system of equations to have infinitely many solutions, the equations must have the same line when graphed. Knowing this, it also means that the equations equal the same thing - they're just written differently. Also, remember that a constant term is just a number with no variables.
First, I would organize the second equation into standard format just like the first one (moving the x and y terms to the left side):
[tex]6x = 16 + a -15y\\6x + 15y = 16 + a[/tex]
Then, by comparing the x and y terms in both equations, we can see that the second equation is just the first equation multiplied by 3. (Notice how 2x times 3 is 6x, and 5y times 3 is 15y.) So, we would need our constant on the left hand side to do the same, to equal -8 times 3, or -24.
Thus, we would need to find what added to 16 equals -24, and we can do this with a simple algebra equation:
[tex]a + 16 = -24\\a = -40[/tex]
Therefore, a would need to equal -40 in order for the system to have infinitely many solutions.
What is the quotient and remainder, written as partial fractions, of StartFraction 4 x cubed + 11 x squared minus 9 Over x squared + 3 x + 2 EndFraction?
Answer:
D
Step-by-step explanation:
trust
The quotient and remainder, written as partial fractions will be [tex]4x-1 - \frac{2}{x +1} - \frac{3}{(x +2)^2}[/tex].
What are the Quotients?Quotients are the number that is obtained by dividing one number by another number.
The degree of the numerator is the same as the degree of the denominator, this fraction needs to be simplified.
The rational expression is
[tex]\frac{4x^{3} +11x^{2} -9}{x^{2} +3x+2}[/tex]
Now, the denominator needs to be factored in to split up the second part of the simplified expression into two different partial fractions.
x^2 + 3 x + 2
( x + 1) (x + 2)
The general form of partial fractions.
[tex]A + \frac{B}{x +a} + \frac{C}{(x +a)^2}[/tex]
This gives us,
[tex]4x-1 - \frac{2}{x +1} - \frac{3}{(x +2)^2}[/tex]
Learn more about quotient ;
https://brainly.com/question/730603
Find the midpoint of A and B where A has coordinates (-7, 1)
and B has coordinates (3,-5).
Answer:
A (-7, 1) = (X1, Y1)
B (3, -5) = (X1, Y2)
Now,
Mid point = (X1 + X2÷2, Y1 + Y2 ÷ 2)
= {-7+3÷2, 1+(-5)÷2}
= (-4÷2, 1-5÷2)
= (-4÷2, -4÷2)
= (-2, -2)
Step-by-step explanation:
I hope it will help you to study.
Haley and mia's dad said if they combined the money they've saved. He would double it.
Find equivalent expression
Answer:
I have no idea, I have been trying to figure it out
Which property of equality would you use -to solve the equation math8n=16
Answer:
im not sure but i do know that the letter n would be 2
Step-by-step explanation:
Got any answers? math is confusing for me
x+y=5 6x+3y=27
Answer:
X = 4
Y = 1
Step-by-step explanation:
Hope this helps. Pls give brainliest.
I need help again lol <3
A music store buys instruments and then sells them for 30% more than they paid.
During a 20% off sale, the store offers a clarinet for $93.60.
How much did the store pay for the clarinet?
$93.60 x 0.2 = $18.72
$93.60 + $18.72 = $112.32 = Price before 20% discount.
$112.32 ÷ 100 x 30 = $33. 696 = Discount of 30%
$112.32 - $33.696 = $78.624 = Original Price
Therefore, the store paid $78.624 for the clarinet before the 30% markup and 20% discount.
It's just a process of working backwards.
Hope this helps :))
asap get brainliest please help me.
Answer:
3/1
Step-by-step explanation:
rise/ run or also slope formula with 2 coordinates(2,3 and 3,6) use the slope formula
Answer:
4/1
Step-by-step explanation:
A local movie theater earned $250,000 in revenue last year. What were the movie theater’s mean monthly earnings last year to the nearest dollar
Answer:
$20833 per month
Step-by-step explanation:
How many groups of 1 & 2/3 are in 1 & 5/6? Please answer im desperate!
Answer: the answer is 2
Step-by-step explanation:
youre welcome if it helped
The _____ of a type of measurement indicates how free that measurement is from random error. Multiple Choice validity verifiability reliability utility generalizability
Answer:
Reliability
Step-by-step explanation:
Here, we want to select the option that best completes the given question
The correct answer is the reliability
When we speak of how reliable a type of measurement is, we are simply referring to how free the particular measurement is from random error
Measurements that are free from random error are said to be reliable
The triangles shown below must be congruent. A. True or B. False
Answer/Step-by-step explanation:
False these shapes are similar but not congruent.
All the angles are similar making the shape similar. However, the side length of Side B is equal to the length of Side A. When side A should have been equal to the length of the Side A on the other triangle.
A survey found that 3 out of 5 students prefer hamburgers to hot dogs. What percent of students prefers hamburgers ?
Answer:
60% of students prefer hamburgers
Step-by-step explanation:
3 out of 5
3 / 5 = 0.6
0.6 × 100 = 60 %
After how many weeks will Andre and Elena have the same amount of money in their savings accounts?
They will have the same amount at blank weeks. They will both have $blank in their account. This is the solution because the point ( blank, blank) is blank both lines and make both equations blank?
how do you calculate the profit
Answer plz, i will give brainliest XD
100 points ppl, lol
Answer:
A) x=9, x=-2, x=2
Step-by-step explanation:
(x-9)(x+2)(x-2)=0
x-9=0
x+2=0
x-2=0
x=9, x=-2, x=2
Answer:
im 100% sure it is Ax=9, x=-2, x=2
Step-by-step explanation:
got 100% on test please give brainliest
Can you please help me:(
Answer:
B
Step-by-step explanation:
Since the y-intercept is (0,3), the second part of the equation of slope (y = mx+b) will be +3. There are three ways to find the slope. Just look at the graph and see how much y increases for every time x increases is the first way. Another way is to find two points that have WHOLE numbers. now count the distance of y between them and the distance of x between them. Now put y over x (y/x). The last way is y1-y2/x1-x2, where you choose to straight points and subtract the y from the other y and the x from the other x, then put y over x. Now we can put the whole equation together to get y = 3/2x +3. or y = 1 and 1/2x+3 (its usually an improper fraction though). Hope this wasn't confusing and helped.
what of b is a solution to this equation? 6b=6
A) b=1 B)b=8
Answer:
b=1
Step-by-step explanation:
6*1=6
6*8=48
HELP please ASAP. I am being timed, and I am very confused on these two questions, answering both questions would be really appreciated...
Pls HELP ASAP
by what percent will a fraction change if its numerator is decreased by 75% and the denomanator is decreased by 50%
Answer:75 percent as a fraction is 3/4 and 50 percent as a fraction is 1/2
Step-by-step explanation:
what is 2.23607 as a fraction
Answer:
559/250
Step-by-step explanation:
Answer:
223607/100000
Step-by-step explanation:
I'm not sure if this is what you wanted, but 2.23607 is 223607/100000 as a fraction because the decimal is in the 100,000th place. It can't be simplified any more, but if you were to round it would be 559/250. Hope this helps you!
3. In the following equation, what is the y-intercept?
y = -3x + 7
Answer:
the y intercept at this point is 7
Step-by-step explanation:
hope this helps comment if not
Help pls I’m in trouble I need this
Answer:
We conclude that:
g(-3) = 3.5Step-by-step explanation:
Some background Concepts:
From the graph, it is clear that at x = -10, the graph intersects the x-axis.
So, the x-intercept of the graph is (-10, 0).
It means g(-10) = 0
From the graph, it is clear that at y = 5, the graph intersects the y-axis.
So, the y-intercept of the graph is (0, 5).
It means g(0) = 5
Determining g(-3):
From the graph, it is clear that at x = -3, the value of the function output = 3.5.
In other words,
at x = -3, g(-3) = 3.5
Therefore, we conclude that:
g(-3) = 3.5Factor the polynomial by finding the greatest common factor.
-15y^7z^6 – 3y^3z^8