Answers
Answer:
y = (1/2)(x + 4)(x + 1)(x - 3)
Step-by-step explanation:
Since this graph begins in Quadrant III and continues growing in Quadrant I, and has three roots/zeros, we know immediately that it's a cubing function and can confidently write out
y = d(x - a)(x - b)(x - c) as one general form of the cubing function.
In this particular case we have:
y = d(x + 4)(x + 1)(x - 3) (where the '4' comes from the x-intercept (-4, 0) )
From the graph we know that y = -6 when x = 0, and therefore:
-6 = d(0 + 4)(0 + 1)(0 - 3), or -6 = d(-12), leading to d = 1/2
Then our tentative equation (above) becomes y = (1/2)(x + 4)(x + 1)(x - 3)
Related Questions
A random sample of people is chosen to participate in a survey.
For the survey results to be considered valid, which must be true of the random
sample? (Select all that apply.)
Everyone in the population has an equal chance of being selected in the sample.
The sample must be the same size as the population.
The sample must be a group separate from the population.
The sample size must be small.
The sample must be unbiased.
The sample must be biased.
The sample must represent the target population.
Answers
Answer:
he sample must represent the target population.
its c good luck c c c cc c cc c cc c cc c c c c c c c c c c c c c c c c c
3.1 Write the following in scientific notation
a) 217 000 000 b) 0,000 253
Answers
Answer:
2.17 x 10^8
0.253 x 10^-4 if number is 0.000253 or 2.53 x 10^2 if number is 253
Step-by-step explanation:
Solve for n. 2/3(1+n)=-1/2n
Answers
Answer:
=−4/7
Step-by-step explanation:
And yh I'm sorry if I got it wrong
suppose f(x) is continuous and that f(-5)=2, f(0)=-3. f(3)=2, f(7)=-4, f(8)=-1.Which smallest interval where f (x)= 0 is guaranteed to have a solution: [-5,0], [0,3], [3,7], or [7,8]?
Answers
Answer:
[0,3]
Step-by-step explanation:
Using a special case of mean value theorem, The Intermediate Zero Theorem:
if sign changes in continuous function, it pass through zero:
f(-5)=2, f(0)=-3. f(3)=2, f(7)=-4, f(8)=-1
[-5,0], [0,3], [3,7] guarantee a solution
smallest : [0,3]
What is 1.5( 3a - 12b + 10) equal to?
Answers
Hope this helps!
A tablecloth has a length of
9/8 meters and a breadth of 5/8 meters. What is the area of the tablecloth?
Answers
Answer:
45/64 m²
Step-by-step explanation:
We are given the length and width of the tablecloth (breath = width).
Length = 9/8 mWidth = 5/8 mWe know that the formula for the area of a rectangle is A = L × W.
Assuming the tablecloth is in the shape of a rectangle (since the problem gives us length and width), we can substitute the length and width into the formula.
A = 9/8 × 5/8 A = 45/64The area of the tablecloth is 45/64 m².
Find g(x), where g(x) is the translation 2 units right and 9 units down of f(x)=|x|.
Write your answer in the form a|x–h|+k, where a, h, and k are integers.
Answers
Answer:
g(x) = |x - 2| - 9
Step-by-step explanation:
Translations of a function f(x):
Translation of f(x) by a units to the right is given by f(x - a).
Translation of f(x) by a units to the left is given by f(x + a).
Translation of f(x) by a units down is f(x) - a
Translation of f(x) by a units up is f(x) + a
Find g(x), where g(x) is the translation 2 units right and 9 units down of f(x)=|x|.
2 units right: f(x - 2) = |x - 2|
9 units down: f(x - 2) - 9 = |x - 2| - 9
The answer is: g(x) = |x - 2| - 9
6cm
6cm
7cm
8cm
what is the area
Answers
45Answer:
Step-by-step explanation:
Dwayne's Tea Shop has caffeinated tea and decaffeinated tea. The tea
shop served 63 caffeinated teas and 27 decaffeinated teas. What
percentage of the teas served were caffeinated?Write your answer using
a percent sign (%).
Answers
A rectangular prism has a volume of 330 cubic feet. The prism is 6 feet long and 4 feet wide. What is the height of the prism? Show two different ways to find the height
Answers
Answer:
H =13.75 ft
Step-by-step explanation:
First, 6 x 4 = 24. To find the height you need to do 330/ 24 which = 13.75
Jimmy runs 16 laps around the track every day. If he decides to run 24 laps today. what percent of the laps did he run?
Answers
Answer:
150%
Step-by-step explanation:
Answer:
66.7%
Step-by-step explanation:
[tex] \frac{16}{24} \times 100 = 66.67[/tex]
simplify 3
[tex] \sqrt[3]{a} - \sqrt[5] {a}^{2} \times ( {a}^{ - 1} )^ \frac{1}{2} [/tex]
Answers
Answer:
why is there no picture?
9514 1404 393
Answer:
cuberoot(a) - 1/tenthroot(a)
Step-by-step explanation:
The applicable rule of exponents seems to be ...
(a^b)^c = a^(bc)
a^-b = 1/a^b
__
Expressing all radicals using rational exponents, we want to simplify ...
[tex]a^{\frac{1}{3}}-(a^{\frac{2}{5}})(a^{-\frac{1}{2}})\\\\=a^{\frac{1}{3}}-a^{\frac{4-5}{10}}\\\\=a^{\frac{1}{3}}-a^{-\frac{1}{10}}=\boxed{\sqrt[3]{a}-\dfrac{1}{\sqrt[10]{a}}}\\\\=\boxed{\sqrt[3]{a}-\dfrac{\sqrt[10]{a^9}}{a}}[/tex]
__
We have shown two simplified expressions. You can choose the one that matches your requirements. Sometimes we don't want any radicals in the denominator.
Q. work out the working capital Ratio:
cash at Bank 12000
stook. 18000
Debfors. 24000
Bills payable. 7000
creditors. 17000
cost of sales. 150000
> formula : working copital current Assets - current liabilities
Answers
Answer:
30,000
Step-by-step explanation:
The computation of the working capital is shown below:
As we know that
Working capital = current assets - current liabilities
where
Current assets = Cash at bank + stock + debtors
= 12,000 + 18,000 + 24,000
= 54,000
And, the current liabilities = bill payable + creditors
= 7,000 + 17,000
= 24,000
So, the working capital is
= 54,000 - 24,000
= 30,000
A store owner wants to prepare 100 lb of a candy mix that she will sell for $1.36 per lb. She mixes 20 lb of jelly beans that cost 20 cents per lb with sugar candies. How much does 1 lb of sugar candies cost.
Answers
Answer:
Fraction form:33/20 money:$1.65
Step-by-step explanation:
$0.2 + $x = %1.36
20 IB + 80 IB = 100 IB
Equation: 0.2*20+x*80=1.36*100
there fore the answer is 33/20
Answer:
33/20
Step-by-step explanation:
44fps converted to miles per hour
Answers
Step-by-step explanation:
30 mph is the answer of your qu
What is the value of x?And the perimeter and area?
Answers
Answer:
Step-by-step explanation:
12
lizette a contractor designer wants to put a white picket fence around the picnic area. find the amount of fencing to the nearest tenth of a meter she must purchase to properly enclose the area
Answers
Someone plss help I tried and I still can't get it plss help me
Answers
Answer:
-18 is an integer but not a whole number
Step-by-step explanation:
a whole number is only positive numbers and 0 itself while an integer is basically any number that isn't a decimal or a fraction. -18 is an integer, but it can't be a whole number because it is a negative number.
Consider the reflectional symmetry of the rhombus.
How many lines of symmetry does the shape have?
0
1
2
4
Answers
Answer:
2
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
the area of a rectangle knitted blanket is 9x^2-6x-8. What are the possible dimensions of the blanket? Use factoring
Answers
Answer:
3x+2 and 3x-4
Step-by-step explanation:
We are given the quadratic equation 9x²-6x-8.
first, multiply 9 and -8 together (factors a*c, which equals to the sum that is b)
the result is -72
now think:
which two numbers add up to -6, but when multiplied, equal -72?
Those two numbers are -12 and 6
we can expand the polynomial:
9x²-12x+6x-8
factor by grouping:
3x(3x-4)+2(3x-4)
(3x-4)(3x+2)
so, the dimensions of the blanket are (3x-4) and (3x+2)
Hope this helps :)
Part A
Which rule defines the function in the graph?
Answers
Answer:
c because yes
Step-by-step explanation:
trust me it's C
how do you write the equation of a line (in slope intercept form) with three given points?
Answers
With even just two points, you can find the equation of a line in slope-intercept form.
Slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept
1) Solve for the slope ([tex]m[/tex])
The equation to solve for the slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] when the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. Plug the coordinates of these points into the equation and solve for [tex]m[/tex].
Then, plug [tex]m[/tex] into [tex]y=mx+b[/tex].
1) Solve for the y-intercept ([tex]b[/tex])
Then, take any of the given points and plug it into [tex]y=mx+b[/tex] along with the slope. Isolate [tex]b[/tex] to get the y-intercept. Then, plug both m and b back into [tex]y=mx+b[/tex] to get your final equation.
I hope this helps!
Slope intercept form of a line is y=mx+b, where m is the slope and b is the y intercept.
I’m going to use the points (5,3) and (8,5) to show how to write the equation.
First, find the slope. The formula to find the slope is y2-y1/x2-x1. With my points, the slope equation would look like this:
m=(5-3)/(8-5)
m=2/3
I put this into my point slope formula
y=2/3x+b
To find out the b (y-intercept), I plug in one pair of points, then solve for b. I will use (5,3)
3=2/3(5)+b
3=10/3+b
-1/3=b
I can now add b to my equation, and get y=2/3x-1/3
To double check this, I could graph this line and make sure that it crosses my selected points. Hope this helps!
Zac and Lynn are each traveling on a trip. So far, Zac has traveled 123.75 miles in 2.25 hours. Lynn leaves half an hour after Zac. So far, she has traveled 105 miles in 1.75 hours. Assume Zac and Lynn travel at constant rates.
Answers
Complete question is;
Zac and Lynn are each traveling on a trip. So far, Zac has traveled 123.75 miles in 2.25 hours. Lynn leaves half an hour after Zac. So far
she has traveled 105 miles in 1.75 hours. Assume Zac and Lynn travel at constant rates.
Let a represent the number of hours that have elapsed since Zac started traveling. Let y represent the number of miles traveled. Write a system of linear equations that represents the distance each of them has traveled since Zac left on his trip.
Assume Zac and Lynn continue to travel at the same constant rates and make no stops.
Determine the solution of the system of linear equations.
Answer:
Zac: y = 55a
Lynn: y = 60(a - ½)
6 hours after Zac started traveling, both Zac and Lynn would have covered 330 miles each.
Step-by-step explanation:
Zac has traveled 123.75 miles in 2.25 hours. Since he travels at constant speed, we can say;
zac's speed = 123.75/2.25 = 55 mi/hr
Similarly, Lynn traveled 105 miles in 1.75 hours. Thus, since she travels at a constant speed;
Lynn's speed = 105/1.75 = 60 mi/hr
Now, we are told that a represents the number of hours that have elapsed since Zac started traveling and y represents the number of miles traveled.
Thus;
a hours after Zac started travelling, his distance covered will be;
Zac: y = 55a
Now,for Lynn, since she started ½ an hour after Zac, it means a hours after Zac started, she had traveled (a - ½) hours.
Thus, Lynn's distance traveled after Zac started = 60(a - ½)
Lynn: y = 60(a - ½)
The solution will be when they have travelled equal distances a hours after Zac started. Thus;
55a = 60(a - ½)
55a = 60a - 30
60a - 55a = 30
5a = 30
a = 30/5
a = 6 hours
Putting 6 for a in y = 55a, we have;
y = 55 × 6
y = 330 miles
Question 4 Multiple Choice Worth 1 points)
(05.02 LC)
Find the measure of angle x in the figure below
A - 65°
B - 70°
C - 110°
D - 125
Answers
Answer:
B because 180 - 55 +55 u get 70 due to opposite sides x us also 70
Answer:
x=180-55-55=180-110=70° is your answer
the exponential function g, whose graph is given below, can be written as g(x)=a*b^x
PLEASE HELP
Answers
Answer:
-5 9 i think that it let me know if I'm right
True False
Angle Phas the same measure as angle P!
Angle Q has the same measure as angle R.
Angle R has the same measure as angle R'.
Answers
Answer:
Step-by-step explanation:
Triangle PQR is in a coordinate plane. The triangle is reflected across the y–axis and
then translated 11 units left to form Triangle P'Q'R'. Determine which of the following statements must be true regarding this transformation. Select True or False for each statement.
Angle P has the same measure as angle P'. T or F
Angle Q has the same measure as angle R'. T or F
Angle R has the same measure as angle R'. T or F
Friend made this for me i need help
One interior angle of a convex polygon (a convex polygon is a polygon where all angles
are less than 180 degrees) is 120 degrees. All the other angles are 130 degrees. How many sides
does the polygon have?
Answers
Answer:
7 sides
Step-by-step explanation:
The sum of exterior angles of a polygon is 360°.
Now, exterior angle of the point with interior angle of 120 is; 180 - 120 = 60 (angle on a straight line)
For the others, it is; 180 - 130 = 50
Thus;
60 + 50n = 360
50n = 360 - 60
50n = 300
n = 300/50
n = 6
Thus,number of sides = 6 +1 = 7 sides
The expression a + b + 3c is a ____ *
Monomial
Binomial
Trinomial
Answers
картопля містить 20 % крохмалю. скільки картоплі потрібно для одержання 12 кг крохмалю
Answers
Answer:
Для виготовлення 1 кг крохмалю потрібно 6 кг картоплі.Скільки крохмалю одержали з 30 кг картоплі. только пожалуйста условие задачи а не ее решение
Step-by-step explanation:
You buy a watch for $31.68, it includes a 5.6% sales tax. You received a discount of 40% off the original price. What is he original price?
Answers
Answer: Okay i think i got it: roughly $46.83
Step-by-step explanation:
Answer:
Its 50$ cause u gotta round up
Step-by-step explanation:
So basically just 31.68 times 5.6 as a decimal then do 60% because 100-40=60 and another step and you end up with 0.50 then jus times by 100