Answer:
D
Step-by-step explanation:
Let us start with the standard equation of a parabola, [tex]y=a(x-h)^2+k[/tex]. To move the parabola up or down, we would change the value of k. k>0, the parabola goes upward. k<0, the parabola goes downward. To move the parabola left or right, we would change the h value. h>0, the parabola goes to the right. h<0, the parabola goes to the left. Also take note that a change of 1 unit on an h or k value reflects also a 1 unit translation on the graph of the parabola.
The question asks us to shift our parabola [tex]g(x)=4x^2-16[/tex] right 7 units and down 3 units. Therefore, we have:
[tex]g(x)=4(x-7)^2-16-3\\g(x)=4(x-7)^2-19[/tex]
D
I hope this helps! Let me know if you have any questions :)
24. A car costs $21,435. Each year the car depreciates (decreases in value) by 8%. How much will
the car be worth after 10 years?
Answer:
Step-by-step explanation:
vtrtv
Please help
Linear Pairs of Angles
Use the value of x to find the
measure of Angle 1.
X = 25
Z1 = [?]° Z2 = [ 1°
5x - 5 2x + 10
22=0
Answer:
5x-5
This equal : 120
2x+10
the second is 60
A polynomial consisting of only one term is called a
Answer:
answer
maybe monomial ...
Answer:
That would be a monomial.
Step-by-step explanation:
Hope this helped!
If f(x) = x3 + 5, then what is the remainder when f(x) is divided by x + 3?
==========================================================
Explanation:
You could use synthetic division or polynomial long division to find the answer, but a much quicker way is to apply the remainder theorem.
That theorem says that if we divide p(x) over (x-k), then the remainder is p(k).
We're dividing over x+3, or x-(-3), so we can see that k = -3 in this case.
Plug this into the function
f(x) = x^3+5
f(-3) = (-3)^3 + 5
f(-3) = -27 + 5
f(-3) = -22 is the remainder
------------
If you want to use polynomial long division or synthetic division, then check out the diagram below.
the angle of elevation of the top of an elevator pole to a man standing 10m from it is 60°. find the height of the pole
Answer:
10√3m
Step-by-step explanation:
Given :-
Angle of elevation = 60° Distance between man and pole = 60°We need to find the height of the pole . We are given here base. Therefore using ratio of tan ,
=> tan 60° = p/b
=> √3 = h / 10 m
=> h = 10 m× √3
=> h = 10√3 m
The trampoline park charges a $8 for kids and $4 for adults. Your extended family is going there to celebrate your birthday. Your family has at most $190 dollars to spend on entrance fees. You can invite at most 35 people. What are some possible combinations of adults and kids who could go to your party? Write a system of equations for this situation.
Answer:
a+k ≤ 35
8a+4k ≤ 190
Some possible combinations are 10 adults and 20 kids
5 adults and 29 kids
Step-by-step explanation:
Let k= number of kids
a = number of adults
a+k ≤ 35 since you can have at most 35
8a + 4k ≤ 190 since the most you can spend is 190
Some possible combinations are 10 adults and 20 kids
(10+30 < 35 and 8*10+4*20 = 80+80 =160< 190)
Another possible combination
5 adults and 29 kids
(5+29 < 35 and 5*10 + 4*29 =50+116=166)
Use the sum of cubes identity to write this polynomial expression in factored form:
8x3 + 27.
Answer:
[tex] {8x}^{3} + 27 \\ = {8x}^{3} + {3}^{3} \\ let : 8x \: be \: a \\ : 3 \: be \: b \\ = > {a}^{3} + {b}^{3} : \\ {(a + b)}^{3} = (a + b)( {a}^{2} + 2ab + {b}^{2} ) \\ {(a + b)}^{3} = ( {a}^{3} + 3{a}^{2} b + 3a {b}^{2} + {b}^{3} ) \\ ( {a}^{3} + {b}^{3} ) = {(a + b)}^{3} - 3ab(a + b) \\ \therefore( {8x}^{3} + 27) = {(8x + 3)}^{3} - 72(8x + 3)[/tex]
Bab needs help with mafs
Answer:
Step-by-step explanation:
line HI
The local theater sells tickets to its plays at a rate of $38 each. Patrons who attend multiple shows are encouraged to buy an annual membership for $80. Members are able to buy tickets at a discounted rate of $20 each. Roger expects to attend 6 shows this year. Grace expects to attend 4 shows. Who would benefit from buying a membership this year?
neither Grace nor Roger
only Grace
only Roger
both Grace and Roger
Answer:
Roger
Step-by-step explanation:
Since he is attending more shows, he will benefit. He will save a net amount of $40
Answer:
roger
Step-by-step explanation:
High population density can cause increased competition for resources such as food or shelter, while a low population density can cause issues with finding mates and diversification. The region with the highest population density is . The region with the lowest population density is .
Answer:
The region with the highest population density is Binky Lee
The region with the lowest population density is ChesLen
Step-by-step explanation:
The population density is the total number of people per unit of land area.
Population density = Total population / land area
Beer Creek = 12,624/3,412
= 3.6998827667057
Approximately, 3.7
Binky Lee = 462/112
= 4.125
Approximately, 4.1
ChesLen = 3,537/1,263
= 2.8004750593824
Approximately, 2.8
Crow's nest = 2,142/612
= 3.5
The region with the highest population density is Binky Lee
The region with the lowest population density is ChesLen
Answer:
1. Binky lee
2. Cheslen
Step-by-step explanation:
SOMEBODY PLEASE HELP ME!
Answer:
[tex]43.7[/tex]
Step-by-step explanation:
Since the triangles are similar, the ratio of their corresponding sides is maintained. Therefore, we can up the following proportion to solve for [tex]OP[/tex]:
[tex]\frac{9}{7}=\frac{OP}{34},\\OP=\frac{34\cdot 9}{7}=43.7142857143\approx \boxed{43.7}[/tex]
43.7
Step-by-step explanation:
Since the two are similar triangles, the ratio of the legs of one triangle is equal to the ratio of the legs of the other triangle.
OP/ON = LM/LK
OP/34 = 9/7
Solving for OP,
OP = 34(9/7)
= 43.7
What is the force on the surface of a square of side 5 m if the pressure acting on it is 25 pascal ?
Answer:
625 N
Step-by-step explanation:
First, find the area of the square.
Area = side x side
= 5 x 5
= 25 m²
Force = pressure x area
= 25 x 25
= 625 N
Hope this helps!
What is the area of this triangle ?
What index of y makes value1/ y^2?
Answer:
the index of y is -2
Step-by-step explanation:
[tex]y^{-2}[/tex]
=[tex]\frac{1}{y^2}[/tex]
Find the aw tire area and show work
Help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Y=5/1 -2
Step-by-step explanation:
I dont know if u can read the answer but its 5 over 1 and thy Y-int is -2
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
4x5 + 3x3 – 7x
Answer:
Name:- Trinomial
Degree:- 5 [ the highest power of x is 5 ]
hope it is helpful to you
The equation of a circle is (x+8)2+(y-5)2=14. What are the coordinates of the center of the circle?
Answer:
(-8,5)
Step-by-step explanation:
The standard form of the equation of a circle is expressed as;
(x-a)^2+(y-b)^2 = r^2 where;
(a, b) is the centre
r is the radius
Given the equation (x+8)^2+(y-5)^2=14.
Compare the two expressions
-a = +8
a = -8
Similarly;
-b = -5
b = 5
Hence the centre of the circle is at (-8,5)
PLEASE HELP! THANKS
EXPLANATION = BRAINLIEST
the straight line distance between points is ___ units
Pls help will mark brainliest
Answer:
1/ 4^2
Step-by-step explanation:
4^4 * 4^-6
We know that a^b * a^c = a^(b+c)
4^(4-6)
4^-2
We also know that a^-b = 1/a^b
1/4^2
PLEASE HELP ME 50 PTS and i'll give brainliest please help me this is the video they game me to do this hw but I still don't understand it https://youtu.be/7Uos1ED3KHI
1.) 70x/100x^2 = 7/10x
2.) 16x^3/24x = 2x^2/3
3.) 7x(2x+1)/21(2x+1) = x/3
4.) 35x - 35/x^2 - 1 = 35/x + 1
5.) x + 7/x^2 + 4x - 21 = 1/x - 3
6.) x^2 - 6x + 5 = x - 5/5
7.) x^2 - 36/x^2 - 3x - 18 = x + 6/x + 3
8.) x^2 - 3x - 10/x^2 + x - 2 = x - 5/x - 1
What is the solution to the inequality |X-4 <3?
Answer:
x<7
therefore {x:x<7}
Step-by-step explanation:
x-4<3
x<3+4
x<7
The interior angle of a regular polygon is 120. Work out the number of sides of the polygon.
Answer:
6 sides
Step-by-step explanation:
The interior angle and the exterior angle sum to 180° , then
exterior angle = 180° - 120° = 60°
The sum of the exterior angles of a polygon is 360° , so
number of sides = 360° ÷ 60 = 6
Answer:
6 sides
Step-by-step explanation:
180 - 120 =60°
sum of exterior angles is 360°
therefore , 360°/60°
ans = 6 sides
Good luck :-)
Alexander has a square-shaped basket of apples. The
basket covers the area of 36 feet^2
. Find the length of any
side of the basket?
Answer:
6 ft
Step-by-step explanation:
Side = √area = √36 = 6 ft (we have to find a positive number that multiply by itself gives 36
PLEASE HELP!! this is due soon and i rlly need help
explanation = brainliest
The radius of a circle is 3 kilometers. What is the area of a sector bounded by a 90° arc?
give the exact answer in simplest form.
Answer:
Step-by-step explanation:
r = 3 km
Ф = 90°
Area of a sector = [tex]\frac{theta}{360}*\pi *r^{2}[/tex]
[tex]= \frac{90}{360}* 3.14 * 3 * 3\\\\= \frac{3.14*3*3}{4}\\[/tex]
= 7.065 sq.km
Answer:
Solution given:
r=3km
area of sector bounded by a 90° arc=90°/360°*πr²
=¼*π*3²
=9/4 π or 7.068km²
is a required answer
Need help on this question on edge please
Answer:
D. (x+7 , y+4)
Step-by-step explanation:
x values increase by 7
y values increase by 4
In a right triangle, one angle measures x°, where sin xº 4/5
What is cos(90° - xº)?
==========================================================
Rule:
if A+B = 90, then cos(A) = sin(B) and sin(A) = cos(B)
This can be rephrased into cos(A) = sin(90-A) and sin(A) = cos(90-A)
We'll focus on the second case sin(A) = cos(90-A)
Simply replace A with x and we have the same idea.
---------
So,
sin(x) = cos(90-x)
cos(90-x) = sin(x)
cos(90-x) = 4/5
You can prove this by drawing out a right triangle as shown below.
how do i find the circumference of a circle when the given radius is 3 1\2 cm, answers in terms of π
Answer:
Circumference of circle is 9.42cm.
Step-by-step explanation:
Here we have given that A circle with having radius 3 and 1 / 2 cm. And We need to find circumference of circle.
Formula using
Circumference of circle = π × 2 × radius
substitute the value
Circumference of circle = π × 2 × 3 and 1/2 cm.
cancle the 2
Circumference of circle = π × 3 cm
Using π = 22 / 7
[tex] \small \sf \ Circumference \: of \: \: circle = \frac{ 22}{7 }×3 cm \\ [/tex]
[tex] \small \sf \ Circumference \: of \:circle = 9.42 cm[/tex]
Hence, Circumference of circle is 9.42cm.
(15 points!!) please help!! If you can answer the other questions on my page I will Venmo u!
Answer:
y = (x - 3)² - 4 Vertex form
(3, -4) Vertex
Step-by-step explanation:
f(x) = x² - 6x + 5
Complete the square
y = (x - 3)² + 5 - (-3)²
y = (x - 3)² + 5 - 9
y = (x - 3)² - 4 Vertex form
(3, -4) Vertex
(Need Answer!)
If the slope of the line that joins the point (1,4) and (k, 10) is 1, what is the value of k?
Answer:
k = 7
Step-by-step explanation:
Applying,
S = (y₂-y₁)/(x₂-x₁)................ Equation 1
Where S = slope of the line.
From the question,
Given: y₂ = 10, y₁ = 4, x₂ = k, x₁ = 1, S = 1
Substitute these values into equation 1
1 = (10-4)/(k-1)
crossmultiplying,
(k-1) = (10-4)
k-1 = 6
k = 6+1
k = 7