Answer:
y = x² +10x -9
Step-by-step explanation:
A spreadsheet or suitable calculator can help you with this. All spreadsheets and most graphing calculators offer regression function capabilities. It is a good idea to learn to use these tools.
The attached graphing calculator output shows the equation to be ...
y = x² +10x -9
_____
Additional comment
If you want to do this by hand, you recognize that there are only two coefficient values that need to be found. You can choose any two of the given points to use to create equations for those coefficients. I would choose the points with the x-values that are smallest in magnitude.
Using (-4, -33)
y = x² +bx +c
-33 = (-4)² +(-4)b +c
-4b +c = -49 . . . . . . . . . subtract 16
Using (1, 2)
2 = (1)² +(1)b +c
b +c = 1 . . . . . . . . . . . . subtract 1
Now, we can subtract the first equation from the second ...
(b +c) -(-4b +c) = (1) -(-49)
5b = 50 . . . . . . . . simplify
b = 10 . . . . . . . . . . divide by 5
Using the second equation, we get
10 +c = 1
c = -9 . . . . . . subtract 10
So, the desired quadratic is ...
y = x² +10x -9
__
These equations are usually pretty easy to solve, because the 'c' variable has a coefficient of 1 in all of them. It can easily be eliminated by subtracting one equation from another. Here, we chose our subtraction so the coefficient of 'b' would end up being positive. (Not necessary, but can help prevent mistakes.)
If you don't know ahead of time that the coefficient of x² is 1, then you need to write 3 equations in the three coefficients.
Inscribed Angles
if angles ABC measures 70 what does angles ADC measure?
Answer:
35 degrees
Step-by-step explanation:
Assuming B is the center of the circle, the measure of arc AC is 70 degrees since the measure of a central angle is equal to the measure of the arc it intercepts.
This means that by the inscribed angle theorem, which states that the measure of an inscribed angle is half the measure of the arc it intercepts, the measure of the desired angle is 35 degrees.
What is the area of the shaded part of the figure if x=8 ft? Use 3.14 to approximate π. A square with side lengths x feet. A quarter circle with radius x feet is cut out of the square. x=8 ft Area of a quarter circle =14 πx2 CLEAR CHECK ft2
The area of the shaded part of the figure is; 114.3ft²
Area of a quarter circle and a squareFrom the task content:
It follows that the area of the shaded portion of the figure is the sum of the area of the square and the quarter circle.The area of the square is;
A(square) = x² = 8² = 64ft².The area of the quarter circle is;
A(quarter circle) = (1/4)πx² = 1/4×22/7 × 8²A(quarter circle) = 50.3ft².
Ultimately, the area of the shaded part of the figure is; 50.3ft² + 64ft² = 114.3ft².
Read more on area of quarter circles;
https://brainly.com/question/2193853
Answer:
13.76
Step-by-step explanation:
I got it right :)
turn 55% in to fraction
Answer: Your answer is 55% = 11 / 20
Hope this helps!
Answer:
11/20
Step-by-step explanation:
Step 1: We represent the given number as a fraction by dividing it by 100.
Hence, we write it as 55/100.
Step 2: Simplify the fraction by using common factors of numerator and denominator.
Now, 55% can be written as 55 / 100.
On simplifying the above fraction:
55 / 100 = 11 / 20 [Dividing numerator and denominator by their greatest common factor, that is 5.]
Therefore, 55% can be represented as 11/20 in fractional form.
[RevyBreeze]
I need some help with this as well
in not sure if it would be correct but i think it would be c because the lines would eventually cross through eachother
Step-by-step explanation:
PLEASE HELP ME I think i know the answer but im not sure
Answer:
2537
Step-by-step explanation:
3/5 of 4,283.30 = 2569.98
2569.98 - 19.99 = 2549.99
2549.99 - 12.99 = 2537
where do you get .28 from ?
Answer:
Percentage.Fraction.Step-by-step explanation:
0.28 is like a percentage.
If so, then you can use 2 examples:
0.28 * 32.28% of 32.The most simple way of getting it is fractions.
2 examples:
28/10028/100 * 32.could you write 378972 with commas
Yes, It can be written with commas
It will be,
[tex]378 , 972[/tex]
Remeber that: Comma is always put after interval of three numbers. First three, Then three and so on...We are not sure what the error is here.
Answer:
The student only counted the shaded blocks
Step-by-step explanation:
[tex]3 \div \frac{1}{4} = 3 \times \frac{4}{1} = \frac{12}{1} = 12[/tex]
so it would be
[tex] \frac{3}{12} = \frac{1}{4} [/tex]
Mr Sire purchases a bicycle for $163.62. How much cash will he need to pay?
Answer:
$163.62
Step-by-step explanation:
$163.62
Answer:
$163.62
Step-by-step explanation:
Please mark me as brainliest
Find the volume if the cylinder. Round your answer to the nearest tenth.
࿐αɴѕωєя࿐
12.6 ft³
Step-by-step explanation:
h = 1 ft
r = 2 ft
π = 3.14
V of cylinder = πr²h
= 3.14 × 2² × 1
= 12.56
= 12.6 ft³
Hope it helps ⚜
They are asking for the value of x
Answer:
the value of X is 70
Step-by-step explanation:
45 + 2x - 5 = 180
combine common stuff (45 and -5)
40 + 2x = 180
-40 -40
2x=140
/2 /2
x = 70
A rectangle has a
perimeter of (12x +
8y). If one side of
the rectangle is (4x
– 2y), write an
expression of the
other side
Answer:
3x + 6y
Step-by-step explanation:
so the perimeter is 12x + 8y and a side is 4x-2y so that means that side and the side across is 8x-4y so you put it all to one side to get 6x +12y then divide that by 2 to find 1 side so the side is 3x + 6y
A rectangle has an area of 20 square feet and a length of 6 feet.What is its width?
Answer:
The width would be 3.33 feet. I got this answer by dividing 20 by 6. The area of a Rectangle is (Length times Width) so 6 times 3.33 = 20.
Step-by-step explanation:
What is the slope of the line that passes through the points (6,−5) and (-6, -5)
Answer:
0
Step-by-step explanation:
Slope can be conceptualized as rise over run.
To get rise, you can see the difference between the two 'y' coordinates. In this case, it's 0 (-5 and -5). At this point, since the numerator of our [tex]\frac{rise}{run}[/tex] fraction is 0, you know it's just gonna be 0 no matter the value of the run.
A roll of breakfast sausage weighing 4/5:of a pound is cut into 3 patties of the same size. What is the weight of each patty?
NO LINKS!!!
Solution:
Note that:
4x/5 ÷ 3 = 1 pattySolve for x to find the weight of each patty.
4/5 ÷ 3 = Weight of 1 patty=> 4/5 x 1/3 = 1 patty=> 4/15 = 1 pattyThe weight of a patty is 4/15 of a pound.
Answer:
4/15
Step-by-step explanation:
Hope this helps! Sorry if I am wrong.
Which sides can make a triangle the question is in the photo
Answer: I believe it is 10cm 9cm 9cm
Step-by-step explanation:
Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side
Struggling lol. Any help would be appreciated!
Answer:
Heptagon = 84 ft²
Octagon = 186 yd²
Triangle = 48√3 m²
Step-by-step explanation:
[tex]\textsf{area of a regular polygon}=\dfrac12ap[/tex]
where:
[tex]a[/tex] = length of apothem[tex]p[/tex] = perimeterHeptagon
a = 5.0 ft
p = 33.6 ft
⇒ area = 1/2 x 5.0 x 33.6 = 84 ft²
Octagon
a = 7.5 yd
p = 8 x 6.2 = 49.6 yd
⇒ area = 1/2 x 7.5 x 49.6 = 186 yd²
Triangle
Formula for the apothem of an equilateral triangle :
[tex]a=\dfrac{s}{2\sqrt{3}}[/tex] where [tex]s[/tex] = side length
a = 4, so:
[tex]4=\dfrac{s}{2\sqrt{3}}[/tex]
[tex]\implies 8\sqrt{3}=s[/tex]
Now we know the side length, we can calculate the perimeter (p):
p = 3 x 8√3 = 24√3
⇒ area = 1/2 x 4 x 24√3 = 48√3 m²
How do you evaluate 35/a. When a =7
Answer:
5
Step-by-step explanation:
[tex]35/a[/tex], when a = 7
Substitute
[tex]35/7[/tex] [tex]=5[/tex]
Answer:
5
Step-by-step explanation:
You substitute 7 for a in the equation.
35/a ——> 35/7
Evaluate it and your answe is 5.
I hope it helps! Have a great day!
Lilac~
factorize 35-12x + x^2
Answer:
[tex]35-x(12-x)[/tex]
Step-by-step explanation:
[tex]35-12x+x^2=35-(12x-x^2)[/tex]
Factor out x from the parenthesis
[tex]35-x(12-x)[/tex]
Hope this helps :)
Have a nice day!
Answer:
[tex](x - 7)(x - 5[/tex]
My solvation is on the picture, Hope it helps and brainliest if correct.
Do you need to regroup I ten as 10 ones? Explain
Answer: no because that is like
Solve ? (0.7 + y) times 8.7
8.7(0.7+y)
expand
6.09+8.7y
Helppp pleaseee 10 points
Answer:
-10, -3, -2.0001, -2.1, -2, -7, -5,
6. A car traveled 30 kilometers for 2 hours, what is its speed? A. 15.0km/h B. 28.0km/h C. 30.0km/h C. 60.Okm/h
answer :b
Answer:
A. 15.0km/h
Step-by-step explanation:
30km/2hr = 15km/hr
Answer:
A. 15.0km/H hope this helps
x^5=243
what is the formular to the equation.
Answer:
x = 3
Step-by-step explanation:
x^5 = 243
Take the fifth root of each side which is the same as raising each side to th 1/5 power. Also, 243 = 3^5.
x^5 = 3^5
(x^5)^(1/5) = (3^5)^(1/5)
x = 3
Answer:
3
Step-by-step explanation:
x^5= 243
I guess we're looking for x
so what we do is just find the fifth root of 243
and that's 3
find the area.
help pls
Answer:
81.6 inches squared
Step-by-step explanation:
The formula for calculating all parallelograms is Area+=base*height.
The height is given to you, 6.8, the base of the figure is also given, 12.
Now all you have to do is to multiply.
That would get you to 81.6.
(When asked for area of parallelogram, the length of any line other than the height and base is not needed)
hoped this helped!
what is 1.9 to the second power in expanded form?
Answer:
[tex] {1.9}^{2} = 1.9 \times 1.9 = 3.61[/tex]
Answer:
[tex]1.9 {}^{2} [/tex]
[tex]=1.9 \times 1.9[/tex]
[tex] = 3.61[/tex]
Ms. Wilson surveyed her class of 36 students about their favorite ice cream flavors.
• Two-thirds of the students preferred chocolate ice cream.
• One-fourth of the students preferred strawberry ice cream.
• The rest preferred vanilla ice cream.
How many students preferred vanilla ice cream?
Answer:
1 student.
Step-by-step explanation:
Two thirds of the students preferred chocolate ice cream:
2/3 of 36 is 24 students.
One fourth of the students preferred strawberry ice cream:
1/4 of 36 is 9.
9+24= 35
--------------------------------------------------------------------------------------
36-35=1
Only one student preferred vanilla ice-cream.
Answer:
1
Step-by-step explanation:
2/3 × 36
= 24 students preferred Choclate Ice cream
1/4 × 36
= 9 students prefer strawberry ice cream
total students who prefer Chocolate or Strawberry
9+24
=35
Remaining students
36-35
=1
only 1 student preferred vanilla ice cream
Need help finding the solution for this linear equation
Answer:
x = -3
y = 7
Step-by-step explanation:
4y + 2 = 30
x - 4y = -31
Simplify the first equation by subtracting 2 from both sides:
4y = 28
Divide both sides by 4
y=7
Plug 7 in for y to solve for x:
x - 4(7) = -31
x - 28 = -31
Add 28 to both sides
x=-3
(x,y)=(-3,7)
The temperature in a city at 5:00 AM was 10 below zero. By noon, the temperature had increased 5 degrees. What is the temperature at noon?
A field is a rectangle with a perimeter of 1110 feet. The length is 100 feet mora than the width. Find the width and length of the rectangular field
Answer:
W: 455 ft
L :.655 ft
Step-by-step explanation:
I did the math if it's wrong I'm so sorry but I'm 99.9% sure it's right.