The given graph of g(x) is translated 4 units to left, so the function is g(x)=(x+4)². Therefore, option D is the correct answer.
What is the parabola?A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.
From the graph, f(x)=x².
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: (0,0)
Focus: (0,1/4)
Axis of Symmetry: x=0
Directrix: y= -1/4
In the graph we can graph of g(x) is translated 4 units to left, so the function is g(x)=(x+4)²
Therefore, option D is the correct answer.
To learn more about the parabola visit:
https://brainly.com/question/21685473.
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The area of a wall to be tiled in 1.5 metres by 2.5 metres.
Tiles are 50cm by 50cm
The tiles are £0.99 each.
How much will the tiles cost in pounds
Answer:
£14.85
Step-by-step explanation:
The total number of tiles needed
= 5 × 3
= 15
∴ The total cost of the tiles
= £0.99 × 15
= £14.85
Hey guys I need some help; I would really appreciate it :)
Use the equation below to find y, if m=6, x=4, and b= 15. y=mx-b
Answer:
9
Step-by-step explanation:
Y = MX-B,
therefore Y = (6*4) - 15,
so Y = 24 - 15
Y = 9
PLEASE HELP!
Find the area of each figure.
18 square units
9 square units
12 square units
24 square units
MATCH THE NUMBERS TO THE GRAPHS!!!!!
I do know the first figure is 24 square feet.
To get your answer,
Count the amount of the blocks stacked on top each other to make the length, in this case the first photo would be 3, and the width of the block, which is 8. To get the area, you would multiply the length and width together.
Image Form:
l x w = a
(length x width = area)
I hope this is a clear explanation!
Answer:
first one is 24
second one is 12
third one is 9
fourth one is 18
Step-by-step explanation:
The thickness of the backfat in pigs is used in evaluating the quality of their flesh for consumption. To compare the backfat thickness of pigs raised on two different diets, an animal researcher randomly sampled a group of pigs raised on Diet 1 and another group raised on Diet 2:
Sample Mean Sample SD Sample Size
Diet 1 3.63 cm 0.29 cm 18
Diet 2 3.37 cm 0.25 cm 18
POOLED SE 0.09
A) After confirming all relevant assumptions, you want to test if the mean backfat thicknesses of the pigs raised on these two diets differs. What is the absolute value of the test statistic?
B) If the critical value for this test is 2.032 (confirm that it is), what would be an appropriate conclusion for this test?
A. An conclusion is not warranted for this test
B. This data provides evidence that mean backfat thickness of pigs on Diet 1 is different from pigs on Diet 2 (p<.05)
C. This data provides no evidence that mean backfat thickness of pigs on Diet 1 is different from pigs on Diet 2 (p<.05)
D. This data provides evidence that diet is independent of backfat thickness (p<.05)
E. There is no evidence that diet is independent of backfat thickness (p>.05)
Answer:
A) The test statistic is approximately 7.5056
B) E. There is no evidence that diet is independent of backfat thickness
Step-by-step explanation:
The given data are;
The sample mean for pigs raised on Diet 1, [tex]\overline x_1[/tex] = 3.63 cm
The sample SD for pigs raised on Diet 1, s₁ = 0.29 cm
The number of pigs in the sample for pigs raised on Diet 1, n₁ = 18
The sample mean for pigs raised on Diet 2, [tex]\overline x_2[/tex] = 3.37 m
The sample SD for pigs raised on Diet 2, s₂ = 0.25 cm
The number of pigs in the sample for pigs raised on Diet 2, n₂ = 18
The pooled SE = 0.09
A) The test statistic is given by the following formula;
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
Therefore, we have;
[tex]t=\dfrac{(3.63-3.37)}{\sqrt{\dfrac{0.29^{2} }{18}-\dfrac{0.25^{2}}{18}}} \approx 7.5056[/tex]
The test statistic, t ≈ 7.5056
B) The degrees of freedom, df = n₁ - 1 = 18 - 1 = 17
At a confidence level of 95%, the critical value is 2.11
Given that the value of the test statistics tic if larger than the critical value, the null hypothesis is rejected and there is a difference in the backfat of the pigs on different diet
Therefore, there is no evidence that diet is independent of backfat thickness
please help this is due today
Answer:
A and D
Step-by-step explanation:
A) x = 3
B) x = 0
C) x = ⅓
D = x = 3
Answer:
A and D
Step-by-step explanation:
please help
85-v=213
solve for v
Step-by-step explanation:
subtract the whole equation by 85 on both sides to get v by itself on the left side
85-85-v=213-85
-v=128
Now we divide the whole equation by negative 1
-1v/-1=128/-1
v=-128
Hope that helps :)
ANSWER BOTH QUESTIONS
Answer:
a and c
Step-by-step explanation:
Can someone please answer this!!
what is a single term algebraic expression is called?
If an arithmetic progression satisfies U4=7 , U8=15 .Find U10
Answer:
U10 = 19
Step-by-step explanation:
The sequence is [tex]Ux=(x*2)-1[/tex]
x is the coefficient to U.
So, [tex]U10=(10*2)-1[/tex]
Which means [tex]U10=20-1[/tex]
Which means [tex]U10=19[/tex]
And there is your answer.
Hope this helps. Have a nice day.
this year you earned $75,500. Last year you earned $72,400. What was the rate of change on your earnings since last year
a. 4.28%
b. 4.68%
c. 4.92%
d. 5.12%
a quadratic patterns has a second term equal to 1,a third term equal to -6 and fifth term equal to -14 .hence or otherwise calculate the first term of the pattern
Answer:
first term of the pattern (T₁) : 10
Step-by-step explanation:
T₁ ; 1 ; -6 ; T₄ ; -14
1-T₁ ; -6-1 ; T₄-(-6) ; -14 -T₄ (First Tₙ-Tₙ₋₁)
-8+T₁ = T₄+13 = -2T₄-20 (2nd Tₙ-Tₙ₋₁ is constant)
T₄+13 = -2T₄-20 3T₄ = -33 T₄ = -11
-8+T₁ = T₄+13 -8 + T₁ = -11 + 13 = 2
T₁ = 10
If the radius of a circle is 9 cm, how long is the diameter
Answer:
18 cm
Step-by-step explanation:
Triangle ABC has vertices A (6, 1), B (1,7), and C (-3, -2). The translation to create triangle A'B'C' is (x, y) + (x-1, y +2).
Which of the following will be the coordinates of the vertices of triangle A'B'C?
A (5,2), (0, -4), (0,9)
B (5,3), (0, -4), (0,8)
C (5,3), (0,9), (-4,0)
D (5,2), (1, -3), (0,9)
Answer:
I think C is the answer
What number is 40% of 720
Answer:
288
Step-by-step explanation:
Hope it helps :>
Answer:
288
Step-by-step explanation:
The lateral surface area is _ square centimeters.
Answer: 24
Step-by-step explanation:
A number is added to 12, and the result divided by 2. the answer is the same as you get by subtracting the number from 4. what is the number?
Answer:
1 1/3
Step-by-step explanation:
(x+12)/2 = 4-x
Step 1, multiply both sides by 2 to remove that pesky fraction. x+12 = 8–2x
Step 2, add 2x to both sides to remove x from the right hand side. 3x+12 = 8
Step 3, minus 12 from both sides, removing it from the left hand side. 3x = -4
Step 4, divide by 3. x = 1 1/3
Answer:
the number is 20
Step-by-step explanation:
Equation: let x be the missing number
x + 12 ÷ 2 = x - 4
first step: multiply 2 on both sides to get rid of the division
x + 12 ÷ 2 × 2 = x - 4 × 2
x + 12 = 2x - 8
second step: add 8 on both sides:
x + 12 + 8 = 2x - 8 + 8
x + 20 = 2x
third step: subtract x on both sides:
x - x + 20 = 2x - x
20 = x
to check: substitute 20 for x
x + 12 ÷ 2 = x - 4
20 + 12 ÷ 2 = 20 - 4
32 ÷ 2 = 16
16 = 16
Mrs.Martin placed her class into five groups. If each group has 6 people. how many students are in the class
Answer:
30
Step-by-step explanation:
5x6=30
A foreign-car dealer with warehouses in New York and Baltimore receives orders from dealers in Philadelphia and Trenton. The dealer would to minimize the shipping cost. The dealer in Philadelphia needs 3 cars and the dealer in Trenton needs 8. The New York warehouse has 5 cars and the Baltimore warehouse has 9. The cost of shipping cars from Baltimore to Philadelphia is $120 per car, from Baltimore to Trenton $90 per car, from New York to Philadelphia $100 per car, and from New York to Trenton $70 per car. Let x be the number of cars shipped from Baltimore to Trenton, and y be the number of cars shipped from Baltimore to Philadelphia. 5. Write the six inequalities associated with this problem.
Answer:
[tex]x \ge 0[/tex]
[tex]y \ge 0[/tex]
[tex]x + y \le 9[/tex]
[tex]8 - x \ge 0[/tex]
[tex]3 - y \ge 0[/tex]
[tex](8 - x) + (3 - y) \le 6[/tex]
Step-by-step explanation:
Given
x = Cars from Baltimore to Trenton
y = Cars from Baltimore to Philadelphia
Required
Write out 6 inequalities
First, 0 or more cars must be shipped to both locations
So:
[tex]x \ge 0[/tex]
[tex]y \ge 0[/tex]
Considering the warehouse in Baltimore.
(1) The warehouse can not ship more than the number of car it has (9).
So:
[tex]x + y \le 9[/tex]
Considering the warehouse in New York.
(1) After shipping cars to Trenton and Philadelphia, the warehouse will have 0 or more cars.
So:
[tex]8 - x \ge 0[/tex] --- To Trenton
[tex]3 - y \ge 0[/tex] --- To Philadelphia
(2) The warehouse cannot send out more than 6.
So:
[tex](8 - x) + (3 - y) \le 6[/tex]
So, the inequalities are:
[tex]x \ge 0[/tex]
[tex]y \ge 0[/tex]
[tex]x + y \le 9[/tex]
[tex]8 - x \ge 0[/tex]
[tex]3 - y \ge 0[/tex]
[tex](8 - x) + (3 - y) \le 6[/tex]
Help answer this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D move 6 units to the left and land on -9
Step-by-step explanation:
The dolphin dove down meaning that it went 6 feet below sea level. that would mean -6. If you move 6 spaces to the left, you would land on -9. Hope this helps
Answer:
D. on the number line, move 6 units to the left. End at -9, the Dolphin was 9 feet below sea level
I need to bring my math grade up !!! Does anyone know that answer
Answer:
2/5 of hangar a = hangar b
Step-by-step explanation:
what is 31/5= to pls show example
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{What is }\mathsf{\dfrac{31}{5}}\large\text{ ?}[/tex]
[tex]\large\text{In order for you to solve for this equation you have to DIVIDE}\\\large\text{the NUMERATOR (the TOP number) from the DENOMINATOR}\\\large\text{(the BOTTOM number)}[/tex]
[tex]\mathsf{\dfrac{31}{5}=31\div5\rightarrow \bf 6\ with\ a\ remainder\ of\ 1. \ (6\ r\ 1)}[/tex]
[tex]\large\text{Thus, }\mathsf{\dfrac{31}{5}}\large\text{ is equivalent or equal to }\mathsf{6\dfrac{1}{5}}[/tex]
[tex]\boxed{\boxed{\mathsf{Answer: \bf 6\dfrac{1}{5}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = 2√3
Step-by-step explanation:
x² = √6² + √6²
x² = 6 + 6 = 12
x = √12 = 2√3
The hanger image below represents a balanced equation. Find the value of n that makes the equation true.
Answer:
6
Step-by-step explanation:
16=n +10
subtract 10 from both sides and your left with 6=n
Please help me ASAP
WILL MARK BRAINLY
3. When using the vertical method to multiply polynomials, your like terms must be lined up in what
rows
columns
descending order
ascending order
Answer:
column
Step-by-step explanation:
hope it will help you
Answer:
B. Columns
Step-by-step explanation:
a sector has a radius of 4 and a central angle of 40 degrees. Find the arc length and area of sector
Answer:
Step-by-step explanation:
θ = 2π/9 radians
arc length = rθ = 8π/9 units
area of sector = πr²/9 = 16π/9 square units
State if the triangles in each pair of similar. If so, state how you know they are similar and complete the similarity statement.
triangle UTS~ ____
a. similar, AA, UED
b. similar, SSS, UDE
c. similar, SAS, UDE
d. not similar
Answer:
triangle UTS~∆UED by AAA axiom
all that make this true i need help
Answer:
D and E
Step-by-step explanation:
3(23+18)=123
6(18)=108. 6(19)=114. 6(20)=120. 6(22)=132. 6(24)=144
I need halp with one is it?
Answer: 66ft
Step-by-step explanation:
9 x 5 = 45 + 7 x 3 = 21
45+21=66
Answer:
I am pretty sure it is 66 ft
Step-by-step explanation:
If u just do the top 2x3= 6 and then u multiply 5x12=60 then you add 6 and 60 which is 66