Answers
Answer:
y=-1/4(x+3)²+3
Step-by-step explanation:
Answer and explanation:
We khow that the standard form of a parabola is written this way:
ax^2 + bx +c
It can be factored if it has roots
◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇
In the graph we notice that the parabola has two x-intercepts wich means two roots
Let p and q be the roots
The equation can be written as:
a (x-p) (x-q)
We can khow the value of p and q from the graph
The parabola crosses the x-axis in -6,25 and 0.5
So the equation is:
Y=a(x-0.5) (x+6.25)
a is missing but we can find it
□□□□□□□□□□□□□□□□□□
Replace x and y bu the coordinates of a point in the parabola
Let's take (-3;3)
3= a (3-0.5) (3+ 6.5)
3 =a* 2.5* 9.5
a= 3/(2.5*9.5) = 0.12
So the equation is :
y= 0.12(x-0.5)(x+6.5)
y= (0.12x-0.6)(x+6.5)
y= 0,12x^2 + 0.78x -0.6x- 3.9
y= 0.12x^2 +0.18x-3.9
Divide by 3 to simplify :
y= 0.4x^2+0.6x-1.3
Multiply by 10 to get rid of the decimal numbers
y= 4x^2 + 6x -13
Related Questions
the length of a rectangle is twice its width, the perimeter of it is 36cm. what is the are of it
Answers
Answer: 72 cm²
Step-by-step explanation: lets take the width as x and length as 2x as length is twice the width= perimeter of rectangle is 2*(l+b)=36cm
So, 2×(2x+x)=36cm
2×3x=36cm
6x=36cm
X=36/6:6cm( width, since width was taken as x)
Length= 2x: 2×6=12cm
So area of the rectangle is( l*b):
12×6= 72cm²
HELP
Find the volume of the sphere in terms of Pi
Answers
Answer:
Hey there!
The volume of a sphere is 4/3pir^3
If d=5, then r=2.5,
Thus, we have 4/3(15.625)pi
20.83pi
The first choice is correct.
Hope this helps :)
Answer: num 1
Step-by-step explanation:
4/3*pi*r^3
4/3*pi*15.625
20.83*pi
hope i halped
can i get brainliest?(im trying to level up)
pls
-Zylynn
A page in an average newspaper has 8 columns of print. Each column consists of 160 lines and each line averages 6 words. What's the average number of words on a full page?
Answers
Answer:
7,680
Step-by-step explanation:
A page has 8 columnsEach column consists of 160 lines.Each line averages 6 words.The average number of words on a full page
=Number of columns X Number of Lines X Number of words per line
=8 X 160 X 6
=7680
The average number of words on a full page is 7,680.
I really need help with this question, it's confusing. It's geometry btw
Answers
Answer:
Two regular nonagons and nine congruent rectangle
Step-by-step explanation:
Two regular nonegon=on the surface and base..
Nine congruent rectangle=look at beside it will be look like 9 rectangle.. I hope it will be right.
02.27.49
Which of these shapes have rectangular cross sections when they are cut perpendicular to the base? Select three
options.
rectangular prism
VX
triangular prism
cylinder
cone
square pyramid
triangular pyramid
Next
Submit
Mark this and return
Answers
Answer:
Rectangular prism, triangular prism, cylinder
Step-by-step explanation:
has base in the form of rectangle,so when cut perpendicular to base,the base as well as other faces, will be in the shape of Rectangle. Same for the triangular prism and cylinder.
) We throw 9 identical balls into 7 bins. How many different ways are there to distribute these 9 balls among the 7 bins such that no bin is empty? Assume the bins are distinguishable (e.g., numbered 1 through 7).
Answers
Answer:
28 ways
Step-by-step explanation:
After placing 1 ball in each of the seven bins, there are two balls left.
If we place both balls in a single bin, there are 7 different ways to place the balls (place both on bins 1 through 7).
If we place each of the remaining balls in a different bin, the number of ways to place the balls is:
[tex]n_2=\frac{7!}{(7-2)!2!}=7*3=21[/tex]
The total number of ways to distribute those balls is 21 + 7 = 28 ways.
Can some one help me
Answers
Answer:
Step-by-step explanation:
divide 4 and 2 then add 2 and 1
Answer:
y = - 4x + 17
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (2, 9)
m = [tex]\frac{9-1}{2-4}[/tex] = [tex]\frac{8}{-2}[/tex] = - 4, thus
y = - 4x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 1) , then
1 = - 16 + c ⇒ c = 1 + 16 = 17
y = - 4x + 17 ← equation of line
help help meeeee pls
Answers
This can have more than one option answer this fast in two minutes
Answers
Answer:
Just QT and UX
Step-by-step explanation:
QT and TX intersect and are not parallel.
QU and ST are not parallel or intersecting.
QT and WX are not parallel or intersecting.
QT and UX are parallel.
Classify the following triangle. Check all that apply.
Answers
Answer:
Isosceles, obtuse triangle
Step-by-step explanation:
The triangle is isosceles since there are equal acute-angles which therefore prove two equal sides.
The triangle is obtuse because it consists of one obtuse angle which is 98 and is greater than 90 degrees.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
-3.42, 10.26, -30.78, 92.34, ___,... what is the next number
Answers
Answer:
-277.02
Step-by-step explanation:
Given series:
-3.42, 10.26, -30.78, 92.34,...We can see the series is a GP with common ratio of -3, as:
10.26/-3.42= -30.78/10.26= 92.34/-30.78= -3So the next term will be:
92.34 × (-3)= -277.0215 POINTS!!!!! suppose f(x)=x find the graph of f(x+2) please include what the graph would look like
Answers
Answer:
The graph f(x+2) would make the graph go left by 2 units.
Step-by-step explanation:
Using graph transformations, adding two would make the graph go left 2 and subtracting would make it go right 2
Find the value of b. Round your answer to the nearest tenth.
The figure shows acute triangle A B C. The measure of angle B is 40 degrees. The length of side A B is 10. The length of side B C is 12. The length of side C A is b.
Answers
Answer:
Side CA = 7.8
Step-by-step explanation:
Given:
Acute angled [tex]\triangle ABC[/tex].
[tex]\angle B =40^\circ[/tex]
AB = 10
BC = 12
We can use cosine rule here to find the side AC = b
Formula for cosine rule:
[tex]cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}[/tex]
Where
a is the side opposite to [tex]\angle A[/tex]
b is the side opposite to [tex]\angle B[/tex]
c is the side opposite to [tex]\angle C[/tex]
[tex]cos 40 = \dfrac{12^{2}+10^{2}-b^{2}}{2\times 12\times 10}\\\Rightarrow cos 40 = \dfrac{144+100-b^{2}}{240}\\\Rightarrow 0.77 = \dfrac{244-b^{2}}{240}\\\Rightarrow 244-b^{2} = 0.77 \times 240\\\Rightarrow 244-b^{2} = 183.85\\\Rightarrow 244-183.85 = b^{2}\\\Rightarrow b^2 = 60.15\\\Rightarrow b = 7.76[/tex]
To the nearest tenth b = 7.8
simplify the expression (x - 2y) + (3x + 4y)
Answers
Simplifying the expression (x - 2y) + (3x + 4y).
Work:
(x - 2y) + (3x + 4y)
Combine like terms.
x + 3x = 4x
-2y + 4y = 2y
Reform the expression.
4x + 2y
Simplified Expression: 4x + 2y.
8. The length of a side and the corresponding height
of a triangle are (x+3) cm and (2x – 5) cm respectively.
Given that the area of the triangle is 20 cm”, find
the value of x.
Answers
Answer:
x = 5
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = x + 3 and h = 2x - 5 , thus
[tex]\frac{1}{2}[/tex] (x + 3)(2x - 5) = 20 ( multiply both sides by 2 )
(x + 3)(2x - 5) = 40 ← expand factors on left using FOIL
2x² + x - 15 = 40 ( subtract 40 from both sides )
2x² + x - 55 = 0 ← in standard form
(x - 5)(2x + 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5
But x > 0 , hence x = 5
Anyone I need help at this dont type other things. Pls now I need the solution anyone.
Answers
Answer:
see explanation
Step-by-step explanation:
(a)
Since there are 360° in the complete pie chart the 40° represents
360° ÷ 40° = 9 parts of the chart
Since 40° represents 7 cars then there are a total of
9 × 7 = 63 cars in the car park
(b)
The circumference (C) of a circle is calculated as
C = πd ( d is the diameter )
Given C = 28 , then
πd = 28 ( divide both sides by π )
d = [tex]\frac{28}{\pi }[/tex]
A soccer player gets 2 points for a goal and 1 point for an assist. If the combined number of goals and assists that a player has is 24, and the total number of points that the player has is 42, which system of equations can be used to determine the number of goals and assists the player has? Assume g represents the number of goals and a represents the number of assists.
A)g + a = 24. g + 2 a = 42.
B)g + a = 24. 2 g + a = 42.
C)g + a = 42. g + 2 a = 24.
D)g + a = 42. 2 g + a = 24.
Answers
Answer:
B
Step-by-step explanation:
The soccer player has g goals and a assists.
For every goal, he/she gets 2 points and for every assist, he/she earns 1 point. This means that if we multiply g by 2, we get the number of points the player receives from g goals and if we multiply a by 1, we get the number of points the player receives from a assists.
And, that total number of points is equal to 42, so we can write:
2 * g + 1 * a = 42
2g + a = 42
Now, we understand that g and a are the number of goals and assists the player has made, and we also know that the total number of such kicks is 24, so we can write:
g + a = 24
Thus, our system is:
g + a = 24
2g + a = 42
The answer is B.
~ an aesthetics lover
Answer:
The correct answer is B. g + a = 24. 2 g + a = 42
What is the period of the function y= 3/2 cot(3/5x) +5?
A. Pi/5 units
B. 3pi/5 units
C. 2pi/3
D. 5pi/3
Answers
Answer:
D; 5pi/3 units
Step-by-step explanation:
Here, we want to find the period of the function;
y = 3/2 cot (3/5x) + 5
By definition, the period of a function is the interval between two matching points in the function.
Let’s say it is the distance between two peaks, crests, etc on a function.
To find the value of the period. We shall standardize the function.
What this means is that we shall be writing the function in the standard form.
The standard form is as follows;
f(x) = A trig(Bx -C) + D
Where trig refers to the accompanying trigonometric function in question.
Comparing this standard form with our question, we can see that;
A is 3/2
B is 3/5
C is 0
D is 5
Now for cot and tan functions, we shall need to divide pi by the absolute value of B
Thus we have; pi divided by 3/5 which gives 5pi/3 units
Answer:
D. 5pi/3, period is the distance between the repetition of a function.
Step-by-step explanation:
Solve for x 5 x + 2 = 7 x − 4 plz help me
Answers
Answer:
3
Step-by-step explanation:
5 x + 2 = 7 x − 4
7x-5x= 2+4
2x= 6
x= 3
Answer:
The value of x in this equation is 3.
Step-by-step explanation:
5x + 2 = 7x - 4
Subtract 7x from both sides of the equation.
-2x + 2 = -4
Subtract 2 from both sides of the equation.
-2x = -6
Divide by -2 on both sides of the equation.
x = 3
In this activity, you will use a variable to create expressions for various relationships. Then you will use these expressions to form a linear equation. Finally, you will find the solution to the equation. Theresa has two brothers, Paul and Steve, who are both the same height. Paul says he is inches shorter than times Theresa’s height. Steve says he is inches shorter than times Theresa’s height. If they are both right, how tall is Theresa? To solve a problem like this one, you can use a linear equation where the variable represents Theresa’s height in inches. Let represent Theresa’s height in inches. Question 1 The relationships for Paul’s and Steve’s height with respect to Theresa’s height are described above. First you will write expressions for Paul’s height and for Steve’s height. Then you will relate the expressions. Part B Write an expression to represent Steve’s height in inches.
Answers
Answer:
Step-by-step explanation:
Some information is missing. The correct question is:
Theresa has two brothers, Paul and Steve, who are both the same height. Paul says he is 16 inches shorter than 1 1/2 times Theresa's height. Steve says he's 6 inches shorter than 1 1/3 times Theresa's height. If they're both right, how tall is Theresa?
Solution:
Let p represent Paul's height
Let s represent Steve's height
Let t represent Theresa's height
Since Paul and Steve are both of the same height, it means that p = s
Paul says he is 16 inches shorter than 1 1/2 times Theresa's height. It means that
p = 1.5t - 16
Steve says he's 6 inches shorter than 1 1/3 times Theresa's height. It means that
s = 4t/3 - 6
Since p = s, then
p = 4t/3 - 6
Therefore, it means that
1.5t - 16 = 4t/3 - 6
Multiplying through by 3, it becomes
4.5t - 48 = 4t - 18
4.5t - 4t = - 18 + 48
0.5t = 30
t = 30/0.5 = 60 inches
Theresa's height is 60 inches
Answer:
Part A : The expression that represents Paul’s height in inches is
3/2 t - 16
Part B : The expression that represents Steve’s height in inches is
4t/3 - 6
how do you calculate a length of a triangle
Answers
Answer:
Perimeter-width=Length
Hope this helps :)
Answer:
Area- A= b (base) times h (height) divided by 2
Perimeter- P= a+b+c
Step-by-step explanation:
Please help me I will give BRAINLIST and a like :))))
Answers
Answer:
18.75%
Step-by-step explanation:
Hello,
3 students are both female and senior
the total number of students is 7+10+8+5=30
so the probability to select one female senior is 3/30=1/10=0.10
probability to select one female is 16/30=16/30
probability that the student is a senior given that it's female is
=P(female and senior)/P(female)
=1/10*30/16=3/16
hope this helps
Answer:
19%
Step-by-step explanation:
Find the number of female students
3+4+6+3 = 16
P( senior given that it is female = senior/ female
= 3/16
=.1875
18.75%
To the nearest whole percent 19%
someone help me asap please/math 10
Answers
Answer:
Step-by-step explanation:
4. a) tan x=17/12=1.416
x=54.8≈55
b)sin b=78/132=0.59
b=36.2≈36
cos 28=x/82
x=82*cos 28=82*0.9=73.8
What is the missing value in this table of equivalent ratios?
Answers
Answer:
A
Step-by-step explanation:
follow the pattern in its timetables,hope this helps u!
Anyone know this one?
Answers
Answer:
(-3, 5), (1, 4), (-2, 3), and (0, 2).
Step-by-step explanation:
When a function is inverted, the x-values become y-values, and the y-values become x-values.
The ordered pairs for the function are (5, -3), (4, 1), (3, -2), and (2, 0).
After inversion, the ordered pairs will be (-3, 5), (1, 4), (-2, 3), and (0, 2).
Hope this helps!
Simplify the question
10x /(divide) -2y
Answers
Answer:
-5x/y is the answer
Step-by-step explanation:
10x/-2y
Dividing by 2
=5x/-y
=-5x/y
I hope this will help you :)
Answer:
(-5x)/y
Step-by-step explanation:
I'm assuming you meant:
10x
---------
-2y
-5x
This reduces to ----------
y
NEED MATH HELP NOW. Need help find the vertex and y intercept. Please show work.
Answers
Answer:
Vertex: ( 1 , 9 )
Y-intercept: ( 0 , 8 )
Step-by-step explanation:
y = - (x+2) (x-4)
y = -x² + 2x + 8
Find the vertex.
x = -b/2a
x = -2/2(-1)
x = -2/-2
x = 1
y = -(1)² + 2(1) + 8
y = -1 + 2 + 8
y = 9
Find the y-intercept.
Put x as 0.
y = -(0)² + 2(0) + 8
y = 8
Which table represents a linear function
Answers
Answer:
The first photo
Step-by-step explanation:
Its a i think
I NEED HELP PLEASE, THANKS! :)
Answers
Answer: tan(14x)
Step-by-step explanation:
Consider the Sum Formula for tan:
[tex]tan(A + B)=\dfrac{tan(A)+tan(B)}{1-tan(A)(tan(B)}\\\\\\tan(9x+5x)=\dfrac{tan(9x)+tan(5x)}{1-tan(9x)(tan(5x)}\\\\\\\large\boxed{tan(14x)}=\dfrac{tan(9x)+tan(5x)}{1-tan(9x)(tan(5x)}[/tex]
Answer:
[tex]\tan(4x)[/tex]
Step-by-Step Explanation:
Notice that this resembles the difference identity for tangent. Specifically:
[tex]\displaystyle \tan(\alpha-\beta)=\frac{\tan(\alpha)-\tan(\beta)}{1+\tan(\alpha)\tan(\beta)}[/tex]
So, given our equation, we can pretend that α=9x and β=5x. Therefore:
[tex]\displaystyle \frac{\tan(9x)-\tan(5x)}{1+\tan(9x)\tan(5x)}=\tan(9x-5x)=\tan(4x)[/tex]
a line has a gradient of 4 and passes through the post (1,7). what is the equation?
Answers
Answer:
y = 4x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4, thus
y = 4x + c ← is the partial equation
To find c substitute (1, 7) into the partial equation
7 = 4 + c ⇒ c = 7 - 4 = 3
y = 4x + 3 ← equation of line
Answer:
The equation is y = 4x+3
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 4x + b
Substitute the x and y value into the equation
7 = 4(1)+b
7 = 4+b
Subtract 4
7-4 =b
3=b
The equation is y = 4x+3