Answer:
75 km
Step-by-step explanation:
distaance = speed * time
d = 30 * 2.5
d = 75
75 km
Put the quadratic into vertex form and state the coordinates of the vertex. y= y= \,\,x^2-6x-3 x 2 −6x−3
Answer:
[tex]y = (x - 3)^2 - 12[/tex]
[tex](3,-12)[/tex]
Step-by-step explanation:
Given
[tex]y = x^2 - 6x - 3[/tex]
Solving (a): In vertex form
The vertex form of an equation is:
[tex]y = a(x - h)^2 + k[/tex]
To do this, we make use of completing the square method.
We have:
[tex]y = x^2 - 6x - 3[/tex]
------------------------------------------------------------------
Take the coefficient of x (i.e. -6)
Divide by 2; -6/2 = -3
Square it: (-3)^2 = 9
Add and subtract the result to the equation
------------------------------------------------------------------
[tex]y = x^2 - 6x - 3[/tex]
[tex]y = x^2 - 6x + 9 - 9 - 3[/tex]
[tex]y = x^2 - 6x + 9 - 12[/tex]
Factorize [tex]x^2 - 6x + 9[/tex]
[tex]y = x^2 - 3x-3x + 9 - 12[/tex]
[tex]y = x(x - 3)-3(x - 3) - 12[/tex]
Factor out x - 3
[tex]y = (x - 3)(x - 3) - 12[/tex]
Express as squares
[tex]y = (x - 3)^2 - 12[/tex]
Hence, the vertex form of [tex]y = x^2 - 6x - 3[/tex] is: [tex]y = (x - 3)^2 - 12[/tex]
Solving (b): State the coordinates of the vertex.
In [tex]y = a(x - h)^2 + k[/tex]; the vertex is: (h,k)
The vertex of [tex]y = (x - 3)^2 - 12[/tex] will be [tex](3,-12)[/tex]
A mattress store in Stafford purchased a mattress at a cost of $255 and marked it up 100%. Later on, Cassie bought the mattress. If the sales tax in Stafford is 11%, how much did she pay in all?
Answer: 278.18
sorry if it's wrong
Step-by-step explanation: if you divide 255 by 11 you get 23.18181818181
so if you simplify you get 23.18 so that is the tax plus the original payment which is 278.18
Answer: The correct answer is $566.10
Step-by-step explanation: IXL
20 pts
The vertices of a triangle are (3,-2), (5.-8) and (-2, 1). What is the approximate perimeter of
the triangle
Answer:
23.56 length units
Step-by-step explanation:
To calculate the perimeter of a triangle, we need to calculate the length of all the sides, then sum up the lengths.
To calculate each side, we take the differences of the coordinates of consecutive vertices, square, add, and take square-root (Pythagoras theorem).
Side 1: (3,-2), (5, -8)
difference in coordinates=(2,-6), length=sqrt(2^2+6^2) = sqrt(40)
Side 2: (5, -8), (-2,1)
difference in coordinates=(7,-9), length=sqrt(7^2+9^2) = sqrt(130)
Side 2: (-2,1), (3,-2)
difference in coordinates=(5,-3), length=sqrt(5^2+3^2) = sqrt(34)
Perimeter
= sum of sides
= sqrt(40)+sqrt(130)+sqrt(34)
= 6.32+11.40+5.83
= 23.56 approximately
Please help for geometry final!!
Answer:
∠1 = 180° - 123° = 57°
∠2 = 180° - 57° - 48° = 75°
∠3 = 180° - 123° - 13° = 44°
Answer:
2
[tex]m < 1 = 180 \degree - 123\degree \\ = 57\degree[/tex]
3
[tex]m < 2 = 180\degree - 57\degree - 48\degree \\ = 75\degree[/tex]
4
[tex]m < 3 = 180\degree - 123\degree - 13\degree \\ = 44\degree[/tex]
how do i solve this
it’s geometry
Answer:
x=5, y=11
Step-by-step explanation:
> sum of interior angles of a polygon is (n-2)·180°, where n-is the number of sides, so our rhombus has sum of angles =(4-2)·180° =360°
>we know that the opposite angles are congruent so ...
>we have the sum of interior angles is
108+108+7y-5+7y-5 = 360, combine like terms
14y +206 =360, subtract 206 from both sides
14y = 154, divide both sides by 14
y= 11
>the sides are congruent therefore
4x+17 = 8x-3 , subtract 4x, and add 3 from both sides
17+3 =8x-4x, combine like terms
20 = 4x , divide by 4 both sides
5 =x
find the LCM of 30,45,60,90
Answer:
180
Step-by-step explanation:
30 = 2 x 3 x 5
45 = 3^2 x 5
60 = 2^2 x 3 x 5
90 = 2 x 3^2 x 5
LCM ( 30, 45, 60, 90 )
= 2^2 x 3^2 x 5
= 4 x 9 x 5
= 180
Which expression is equivalent to √900f^6/100g^4
Answer:
A
Step-by-step explanation:
c and d cannot be since the answer to sqrt((900f^6)/(100g^4)) is 3f³/g²
and not 30f something.
the best answer I see is correct is a.
2. A bag contains 5 red marbles, 3 blue marbles, 6 white marbles, and 2 green marbles.
A. You choose one marble at random. Find the probability that you will choose a
white marble.
B. You choose one marble at random. Find the probability that you do not choose a red
marble.
I
C. You choose one marble at random, put the marble aside, then choose a second
marble at random. What is the probability that both marbles are blue?
D. You choose one marble at random, put the marble back in the bag, then choose a
second marble at random. What is the probability that you choose a red marble
and then a green marble?
Answer:
Step-by-step explanation:
5 red
3 blue
6 white
2 green
total 16 marbles.
Note: P(E) = probability of event E happening
P(~E) = probability of event E NOT happening.
We usually leave probabilities in fractions whenever possible because they will not be subject to round-off errors.
A. choose one marble at random.
P(W) = 6 white / 16 total = 3/8
B. choose one marble at random.
P(~R) = (16-5)/16 = 11/16
C. choose one marble at random, then a second one without replacement,
there will be 3 blue out of 16 at the beginning, then if successful, there will be 2 blue out of 15.
P(BB) = (3/16)*(2/15) = 1 / 40
D. choose two with replacement
5 red out of 16 for first draw, still 5 red out of 16 for second draw.
P(RR) = (5/16)^2 = 25/256
129x-33=112
solve for x
Answer:
x =145/129
Step-by-step explanation:
129x-33=112
Add 33 to each side
129x-33+33=112+33
129x = 145
Divide each side by 129
129x/129 = 145/129
x =145/129
A square has an area of 81 cm^2.What is the length of each side
Answer:
length of each side=√81
=9 cm
Answer:
9cm
Step-by-step explanation:
a square has 4 equal sides, so to find out the area you do width x height
the area is 81cm², which means that the side length is 9cm as 9 x 9 = 81
hope this helps :)
Last month Maria hiked a total of 90 miles on two trails: a 5-mile mountain trail and a 10-mile canal trail. Let x represent the number of times Maria hiked the mountain trail, and let y represent the number of times Maria hiked the canal trail.
Which equation can be used to find the number of times Maria hiked each trail?
x + y = 90
5x – 10y = 90
90 – 10y = 5x
90 + 10y = 5x
The equation can be used to find the number of times Maria hiked each trail is 5x + 10y = 90
Equationlet
number of times Maria hiked the mountain trail = xnumber of times Maria hiked the canal trail = y5x + 10y = 90
Therefore, the equation to represent the number of times Maria hiked each trail is 5x + 10y = 90
Learn more about equation:
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Answer:
5x + 10y = 90
Step-by-step explanation:
can someone help me?
(2x+8)(2x+2)
[tex] 4 {x}^{2} + 20x + 16[/tex]
Step-by-step explanation:
[tex](2x + 8)(2x + 2) \\ = 2x(2x + 2) + 8(2x + 2) \\ = 4 {x}^{2} + 4x + 16x + 16 \\ = 4 {x}^{2} + 20x + 16[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
What is 9v-8(10v-9) I need an answer
What is the role that by subscribe to translation ABC D
Answer:
The role of ABCD is two determine the points of the figure.
5. Evaluate the quadratic function f(x) = 5(x-3)(x-2) when x = 9
Answer:
Step-by-step explanation:
f(9)=5(9-3)(9-2)
=5*6*7
=210
Answer:
f(9) = 210
Step-by-step explanation:
In f(x) = 5(x-3)(x-2), replace each instance of x with 9:
f(9) = 5(9-3)(9-2), or:
=5(6)(7) = 210
I’m lost someone help lol
Pick the last choice.
Please mark brainliest, I had to give go ogle a bj for this answer.
determine the intercepts of the line
x-intercept (__,__)
y-intercept (__,__)
x-intercept (-40,0)
y-intercept (0,15)
Answer:
x intercept (-40,0)
y intercept (0,15)
Step-by-step explanation:
the point where a line cuts an axis (X or Y) is called the intercept of that axis.
Find the volume of the sphere. Round your answer to the nearest tenth. Radius is 12ft
Answer: 7238.2[tex]ft^3[/tex]
Step-by-step explanation:
The formula for a sphere's volume is [tex]V=\frac{4}{3} \pi r^3[/tex].
Substitute r = 12 in the formula: [tex]V=\frac{4}{3} \pi (12)^3[/tex]
Then calculate (type the right side of the equation above in your calculator), and you will get an answer of 2304π. When you simplify further, you get 7238.22947. Rounded to the nearest tenth, it is 7238.2.
∴, the volume of the sphere is 7238.2[tex]ft^3[/tex], to the nearest tenth.
*note: it's [tex]ft^3[/tex] (feet cubed) because a sphere is a 3D object, so its volume is also a 3D measurement.
When 62 + 5y - 112 + 7y is simplified results is? *
Answer:
-50+12y
Step-by-step explanation:
62+5y-112+7y
62-112+5y+7y
-50+5y+7y
-50+12y
Helppppppppppppppppppp I’ll mark you brainlist don’t respond if you’re going to put something random I will report you :)
Answer:
y would be 3
Step-by-step explanation:
x would be 0 since the line goes up, meaning it's positive, not negative btw
Which of the following is NOT a terminating decimal?
A. 4.4
B. 4.44
C. 4.0444
D.
Answer:
C
Step-by-step explanation:
The others are repeated
Answer:
[tex]\text{D. }44.\overline{4}[/tex]
Step-by-step explanation:
*The person who asked this question clarified answer choice D should be [tex]\text{D. }44.\overline{4}[/tex].
Define a terminating decimal by a decimal that has a finite (or fixed) number of digits. Answer choices A, B, and C all have a finite number of digits, thus they are terminating decimals. The overline is answer choice D is using to represent that digit (4) is repeating and therefore there are an infinite number of digits in the decimal. Thus, [tex]\boxed{\text{D. }44.\overline{4}}[/tex] is not a terminating decimal.
Which is the graph of f(x) =2(3)x
Answer:
Top graph on the left
Step-by-step explanation:
f(x) =2(3)^x
Let x = 1
f(1) =2(3)^1
= 2 *3 = 6
(1,6)
can some one help me solve this?
Answer:
i’m not sure good luck
Step-by-step explanation:
34x divided by 6
What is the value of x?
Answer:x would be 8 because 348 divided by 6 equals a quotient of 58
Step-by-step explanation:
Please help me
Look at the image
Answer:
74 degrees
Step-by-step explanation:
As sum of interior and exterior at a vertex add to 180, subtract 106 from 180 to get 74 degrees
the diagram of g||h, with transversal f,
Hellopoooopppoo
Quickkkkkkkkkkkkkkk
Answer:
4.5 units
Step-by-step explanation:
PQ transferred to WX, and QR to XY.
PQ = 4, WX = 6, so the scaling factor x applies so that we create 6 or of 4 :
4 × x = 6
x = 6/4 = 3/2
the save scaling factor applies now to all other sides too due to the fact that the same transformation was done to the whole shape.
=> QR × 3/2 = XY.
3 × 3/2 = 9/2 = 4.5 = XY
0
Homework Progress
107 / 285
A sequence has three terms.
Its term-to-term rule is
multiply by 6 and then add 13
a) The first term of the sequence is -2
Work out the third term.
b) The order of the three terms of the sequence is reversed.
Describe the term-to-term rule of the new sequence.
Submit Answer
Answer:
It's C
Step-by-step explanation: I took the test and got it wrong
The third term of the given sequence exists 19.
Term to term rule when the sequence [tex]$-2,1,19 \ldots .$[/tex] is reversed will be [tex]$\frac{a-13}{6}$[/tex].
What is a sequence?The sequence exists in a particular order in which connected things follow each other.
The term-to-term rule of the sequence stands 6a+13, where a stands for the first term First-term a = -2
Second term b will be [tex]$-2*6+13=1$[/tex]
The rule for the third term will be 6b+13, where b will be the second term. So the third term will be [tex]$6* 1+13=19$[/tex]
So, the sequence will be [tex]$-2,1,19 \ldots \ldots . .$[/tex]
If the order of the above sequence stands reversed, the new sequence will be [tex]$19,1,-2 \ldots \ldots .$[/tex]
If we subtract 13 from first term 19 and then divide by 6 we will get 1 which stands for the second term of the new sequence [tex]$19,1,-2 \ldots \ldots .$[/tex]
So a new term-to-term sequence rule will be [tex]$\frac{a-13}{6}$[/tex] where a stands for the first term.
Therefore, the third term of the given sequence exists 19.
Term to term rule when the sequence [tex]$-2,1,19 \ldots .$[/tex] exists reversed will be [tex]$\frac{a-13}{6}$[/tex].
To learn more about sequence
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1
2
-17
+
X
5
+ 1 = 2
4
= 21
Answer:
21
Step-by-step explanation:
You got it right.
what is the degree of the simplest polynomial with integer coefficients that has √2 , 2 , √2 + i , and 2 + 2i as some of its zeros?
a. 6
b. 7
c. 8
d. 9
If the polynomial has integer coefficients, then any complex roots with non-zero imaginary part must occur along with their conjugates. If a + bi is a root, then so is a - bi.
The given polynomial would then have at least 6 roots: √2, 2, √2 + i and √2 - i, and 2 + 2i and 2 - 2i. So the minimum degree is (A) 6.
