Answer:
x=48
y=50
Step-by-step explanation:
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What is the vertex of the graph of the function below? y= x2 - 4x + 3
A. (2.-1)
B. (1,-1)
C. (1,0)
D. (2,0)
What is the common ratio between successive terms in the sequence?
27, 9, 3, 1,
,
1,
3
O-3
mp
Answer:
1/3
Step-by-step explanation:
If it was supposed to be a negative answer, there would be negative numbers in the sequence. So that narrows it do to 3 and 1/3. And now we know that 27*3 isn't 9 but 27*1/3=9 and so on.
Answer:
your answer will have to be 3
Step-by-step explanation:
from 27 to 9, we divided by 3
from 9 to 3, we divided by 3
from 1 to 1/3, we divided by 3
from 1/3 to 1/9, we divided by 3
from 1/9 to 1/27, we divided by 3
so basically the common ratio will have to be 3
Pls help me and thank you!
Answer:
Substitute your answer for Step 1 into the second equation to solve for Z.
Please solve 3^(x+3) + 3^(x+4)/3 = 162
Can someone help me please
Answer:
yes what would u like help with
Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil, how many flowerpots can he fill?
Answer:
16 pots
Step-by-step explanation:
We first need to find out the amount of dirt that can be filled into a single flowerpot.
We use the formula to find the cylinder's volume.
π[tex]r^{2}[/tex][tex]* h[/tex]
Height is equal to ten, Radius is equal to 7.
49π [tex]* 10[/tex]
≈ 1539.38
25,000 divided by 1539.38
≈ 16.24
He can fill 16 pots fully.
Find angle N and arc NQ. See the image below.
Answer:
Angle N=32
Arc NQ=106
Step-by-step explanation:
Angle N is a inscribed angle of Arc MP so that means Angle N measures 32.
Angle NPQ is a inscribed angle of Arc NQ so that means Arc NQ is twice the measures of NPQ so
Arc NQ=106
Express it in slope-intercept form.
Answer:
y = 3/2 x -3
Step-by-step explanation:
the line passes (0, -3) and (2, 0)
the slope = (0+3)/(2-0) = 3/2
the equation :
y-0= 3/2(x -2)
y = 3/2 x - 3
If f (x) = 2 x + 5 and three-halves are inverse functions of each other and f (x) = 2x + 5, what is
Answer:
See explanation
Step-by-step explanation:
The question has conflicting details
[tex]f(x) = 2x + 5[/tex]
[tex]f(x) = 2x + 5[/tex] and three halves doesn't sound correct.
So, I will take f(x) as
[tex]f(x) = 2x + 5[/tex]
Next, solve for the inverse function
Replace f(x) with y
[tex]y = 2x + 5[/tex]
Swap x and y
[tex]x = 2y + 5[/tex]
Make 2y the subject
[tex]2y = x-5[/tex]
Make y the subject
[tex]y = \frac{x-5}{2}[/tex]
Replace y with the inverse sign
[tex]f^{-1}(x) = \frac{x-5}{2}[/tex]
So, now we can calculate any value from the original function and from the inverse function.
For instance:
[tex]f^{-1}(7) = \frac{7-5}{2} = \frac{2}{2} = 1[/tex]
[tex]f(1) = 2*1 + 5 = 2+5=7[/tex]
how would 3 over 5
be Classified
Answer:
3/5 is expressed as 60% in terms of Percentage.
Let's convert the fraction 3/5 into percent. Now, 60/100 is expressed as 65% in terms of percentage.
The graph shown is a scatter plot:
Which point on the scatter plot is an outlier?
Answer:
D is the outlier
Step-by-step explanation:
An outlier is a point that is far from the other points
We can draw a line that roughly represents an equation for the points
A,B ,C are all near the line
D is not along the line
Find the percentage decrease ???
Step-by-step explanation:
Price of a book costing sh.250
reduced to sh.200
percentage decrease on the price = (250-200)/250×100
= 20%
HEEELPPPPPPPPPPPPPPPPPPP ill give 20 brainlists
Answer:
B
Step-by-step explanation:
i think it is.....................
HELP ME!
Line segment EQ consists of the points ____________. ???
Answer:
{F, G, H, I, J, K, L, M, N, O, P}
are the points between segment EQ :)
The function f is defined by f(x) = (x − 2) 2 − 3 for x > −2. The function g is defined by g(x) = 2x+6 x−2 for x > 2. Find fg(7).
Answer:
[tex]fg(7)=143.95[/tex]
Step-by-step explanation:
We are given that
[tex]f(x) = (x -2)^2 -3[/tex] for x > −2
[tex]g(x) = 2x+6x^{-2}[/tex] for x > 2
We have to find fg(7)
[tex]fg(7)=f(g(7))[/tex]
[tex]=f(2(7)+6(7)^{-2})[/tex]
=[tex]f(14+\frac{6}{49})[/tex]
=[tex]f(\frac{692}{49})[/tex]
692/49>-2
fg(7)=[tex](\frac{692}{49}-2)^2-3[/tex]
=[tex]146.95-3[/tex]
Hence, [tex]fg(7)=143.95[/tex]
find the equation of Best fit for the data in the table
Answer:
The equation of the line is [tex]y = 2\cdot x + 3[/tex].
Step-by-step explanation:
The data of the table represents a line, also known as a linear function or a first order polynomial if and only if the following property is satisfied:
[tex]\frac{y_{i+1}-y_{i}}{x_{i+1}-x_{i}} = m, m \in \mathbb{R}[/tex] (1)
Now we proceed to check if the table represents a line instead of another kind of function:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{7-5}{2-1} = 2[/tex]
[tex]\frac{y_{3}-y_{2}}{x_{3}-x_{2}} = \frac{9-7}{3-2} = 2[/tex]
[tex]\frac{y_{4}-y_{3}}{x_{4}-x_{3}} = \frac{13-9}{5-3} = 2[/tex]
[tex]\frac{y_{5}-y_{4}}{x_{5}-x_{4}} = \frac{15-13}{6-5} = 2[/tex]
Hence, the data represents a line. From Geometry we know that the equation of the line can be obtained by knowing two distinct points. The formula of the line is described below:
[tex]y = m\cdot x + b[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]m[/tex] - Slope.
[tex]b[/tex] - y-Intercept.
If we know that [tex](x_{1}, y_{1}) = (1, 5)[/tex] and [tex](x_{2}, y_{2}) = (6, 15)[/tex], then we have the following system of linear equations:
[tex]m + b = 5[/tex] (1)
[tex]6\cdot m + b = 15[/tex] (2)
The solution of the system of linear equations is: [tex]m = 2[/tex], [tex]b = 3[/tex].
The equation of the line is [tex]y = 2\cdot x + 3[/tex].
Can someone explain this to me please
Answer:
c. 36·x
Step-by-step explanation:
Part A
The details of the circle are;
The area of the circle, A = 12·π cm²
The diameter of the circle, d = [tex]\overline {AB}[/tex]
Given that [tex]\overline {AB}[/tex] is the diameter of the circle, we have;
The length of the arc AB = Half the the length of the circumference of the circle
Therefore, we have;
A = 12·π = π·d²/4 = π·[tex]\overline {AB}[/tex]²/4
Therefore;
12 = [tex]\overline {AB}[/tex]²/4
4 × 12 = [tex]\overline {AB}[/tex]²
[tex]\overline {AB}[/tex]² = 48
[tex]\overline {AB}[/tex] = √48 = 4·√3
[tex]\overline {AB}[/tex] = 4·√3
The circumference of the circle, C = π·d = π·[tex]\overline {AB}[/tex]
Arc AB = Half the the length of the circumference of the circle = C/2
Arc AB = C/2 = π·[tex]\overline {AB}[/tex]/2
[tex]\overline {AB}[/tex] = 4·√3
∴ C/2 = π·4·√3/2 = 2·√3·π
The length of arc AB = 2·√3·π cm
Part B
The given parameters are;
The length of [tex]\overline {OF}[/tex] = The length of [tex]\overline {FB}[/tex]
Angle D = angle B
The radius of the circle = 6·x
The measure of arc EF = 60°
The required information = The perimeter of triangle DOB
We have;
Given that the base angles of the triangles DOB are equal, we have that ΔDOB is an isosceles triangle, therefore;
The length of [tex]\overline {OD}[/tex] = The length of [tex]\overline {OB}[/tex]
The length of [tex]\overline {OB}[/tex] = [tex]\overline {OF}[/tex] + [tex]\overline {FB}[/tex] = [tex]\overline {OF}[/tex] + [tex]\overline {OF}[/tex] = 2 × [tex]\overline {OF}[/tex]
∴ The length of [tex]\overline {OD}[/tex] = 2 × [tex]\overline {OF}[/tex] = The length of [tex]\overline {OB}[/tex]
Given that arc EF = 60°, and the point 'O' is the center of the circle, we have;
∠EOF = The measure of arc EF = 60° = ∠DOB
Therefore, in ΔDOB, we have;
∠D + ∠B = 180° - ∠DOB = 180° - 60° = 120°
∵ ∠D = ∠B, we have;
∠D + ∠B = ∠D + ∠D = 2 × ∠D = 120°
∠D = ∠B = 120°/2 = 60°
All three interior angles of ΔDOB = 60°
∴ ΔDOB is an equilateral triangle and all sides of ΔDOB are equal
Therefore;
The length of [tex]\overline {OD}[/tex] = The length of [tex]\overline {OB}[/tex] = The length of [tex]\overline {DB}[/tex] = 2 × [tex]\overline {OF}[/tex]
The perimeter of ΔDOB = The length of [tex]\overline {OD}[/tex] + The length of [tex]\overline {OB}[/tex] + The length of [tex]\overline {DB}[/tex] = 2 × [tex]\overline {OF}[/tex] + 2 × [tex]\overline {OF}[/tex] + 2 × [tex]\overline {OF}[/tex] = 6 × [tex]\overline {OF}[/tex]
∴ The perimeter of ΔDOB = 6 × [tex]\overline {OF}[/tex]
The radius of the circle = [tex]\overline {OF}[/tex] = 6·x
∴ The perimeter of ΔDOB = 6 × 6·x = 36·x
Please help me out for the question is it
A.275 centimeters
B.94 centimeters
C.144 centimeters
D.85 centimeters
You’ll be marked as brainliest
I think c because from what remember taking this test
Question 54 of 98
Which expression uses the associative property to make it easier to evaluate
20(3-6)
O A. 20(6)
B. 20(-5)
c. - 6)20
D. (20 - )6
SUBMIT
submitdjememendixodme ejej
3/4 part of a rope is 150m. find the length of 7/10 part of the rope
Please help ASAP with step by step explanation.
Answer:
140m
Step-by-step explanation:
3/4 = .75
x/.7 = 150/.75
multiply both sides by .7
x = 150/.75 * .7
x = 140m
pls answer the underline questions
Answer:
What is the question?
Step-by-step explanation:
I will edit this and answer when you comment the question in this answer.
QUICK I NEED HELP! I WILL MARK BRAINLIEST!
Answer:
go a head what can i help you with
Answer:
Step-by-step explanation:
[tex]y_A = 9x -3x - 4 \\y_A = 6x - 4\\\\y_B = 12x - 4\\\\y_C = 5x + x - 4\\y_C = 6x -4[/tex]
Standard equation of a line with slope, m and y - intercept b is y = mx + b.
Clearly. for the second equation has a different coefficient for x.
a ) The coefficient for x , is the slope of the line.
Though the y - intercept for each equation is same = - 4.
For example :
Expression A = 2 , when x = 1
Expression B = 8 , when x = 1
Expression C = 2 , when x = 1
b) From above :
[tex]y_A \ and \ y_C \ are \ the \ same \ expression.[/tex]
c) Expression A and C are equivalent because the coefficient of x
is the same for A and C.
[tex]5y( y + 3) - 2(y - 2) = 20[/tex]
Answer:
[tex]y = \frac{ - 13 - \sqrt{489} }{10} [/tex]
Answer:
Step-by-step explanation:
5y^2+15y-2y+4=20
5y^2-13y+4=20
5y^2-13y+4-20=0
5y^2-13y-16=0
This equation is in standard form: ax^2+bx+c=0. Substitute 5 for a, 13 for b, and −16 for c in the quadratic formula.
7- write the equation of the line that passes through points A(6,1) and B(9,4)
I
Answer:y=x-5
Step-by-step explanation: Use (y2-y1)/(x2-x1) fill those in and get (4-1)/(9-6) which is 3/3 and that is 1 for the slope. Now fill in y=1x with a given coordinate and try to find the y-intercept so we would do 1=1(6) and we need to make the right side equal to the left so we subtract 5. Ending us with y=x-5.
Mary has a rectangular driveway. She measures it and finds out it is 14 1/4 feet long by 17 1/2 feet wide. She wants to know how many square feet of paint she will need to completely cover the driveway.
Answer:
253.75 square feet
Find the quotient.the fraction
8 1/3 divided by 4 1/2
Answer:
[tex]8 \frac{1}{3} \div 4 \frac{1}{2} = \frac{50}{27} = 1.851 = 1 \frac{23}{27} [/tex]
Please help. Thank you
Given:
[tex]PQRS\sim TUVW[/tex]
In the given figure, PS=x, RS=35, UV=20, VW=25 and TW=15
To find:
The scale factor from PQRS to TUVW.
Solution:
We have,
[tex]PQRS\sim TUVW[/tex]
We know that the corresponding sides of similar figures are proportional. The scale factor is the ratio of one side of image and corresponding side of preimage.
The scale factor is:
[tex]k=\dfrac{VW}{RS}[/tex]
[tex]k=\dfrac{25}{35}[/tex]
[tex]k=\dfrac{5}{7}[/tex]
Therefore, the scale factor from PQRS to TUVW is [tex]k=\dfrac{5}{7}[/tex].
Help
Will give
Brainlist
Thank uuu
Answer:
first option is correct
Step-by-step explanation:
finding area for upper rectangle
length = 16 miles
breadth = (2x - 1) miles
area of rectangle = l*b
=16 *(2x - 1)
16*2x - 16*1
=32x - 16
finding area for another rectangle
length = (5x + 5) miles
breadth = 4 miles
area of rectangle = l*b
= (5x + 5) * 4
=5x*4 + 5*4
=20x + 20
area of the figure = area of upper rectangle + area of another rectangle
=32x - 16 + 20x + 20
= (52x + 4) sq mi
Find the width of the rectangular prism which has Surface area of 10 CM2, length of 2cm and height of 1 cm
Answer:
width is 1 cm
Step-by-step explanation:
The SA of a rectangular prism is SA = 2(lw + wh + hl)
We are given the length, the height, and the SA, and we need to find the width. So we plug in the known values into this equation:
10 = 2(2w + w + 1*2)
10 = 2(3w+2)
10 = 6w+4
6=6w
w=1
We can check the answer by plugging in all the values into the equation:
10 = 2(2*1+1*1+1*2)
10 = 2(5)
10 = 10
Here is some information about a holiday.
7 night holiday
$340 per person
8% discount if you book before 31 March
On 15 February, Naseem books this holiday for 2 people.
Calculate the total cost of his holiday.
Answer:
$625.6
Step-by-step explanation:
Information about the holiday:
7 night holiday
$340 per person
8% discount if you book before 31 March
Number of people Naseem booked the holiday for = 2
Date of booking of the holiday = 15 February
Total cost of the holiday per person = cost per person - discount before March 31
= $340 - 8% of $340
= 340 - 8/100 * 340
= 340 - 0.08 * 340
= 340 - 27.2
= $312.8
Total cost of the holiday for 2 persons = 2 × Total cost of the holiday per person
= 2 * $312.8
= $625.6