Step-by-step explanation:
1) 3, 6, 9, 12, 15
6 - 3 = 9 - 6 = 12 - 9 = 15 - 2Each term is 3 more than the previous term.2) 9, 3, 1, 1/3, 1/9
3/9 = 1/3 = (1/3)/1 = (1/9)/(1/3) = 1/3Each term is 3 times less then the previous term.3) a, c, e, g, i, k, m
a = 1, c = 3, e = 5, g = 7, i = 9, k = 11, m = 13 Each letter is 2 places right from the previous letter of English alphabet4) 0, 5, -2, 3, -4, 1, -6
5 - 0 = 5, -2 - 5 = -73 - (-2) = 5, -4 - 3 = -71 - (-4) = 5, -6 - 1 = - 7Each odd numbered term is 7 less than the previous term, each even numbered term is 5 more than the previous term5) 4, 8, 16, 32, 64, 128
8/4 = 16/8 = 32/16 = 64/32 = 128/64 = 2Each term is twice the previous term6) 0.1, 0.01, 0.001, 0.0001
0.1/0.01 = 0.01/0.1 = 0.001/0.01 = 0.0001/0.001 = 0.1Each term is 10 times less than the previous termMake a conjecture about the rules these patterns follow.
1. 3, 6, 9, 12, 15
2. 9, 3, 1, 1/3, 1/9
3. a, c, e, g, i, k, m
4. 0, 5, -2, 3, -4, 1, -6
5. 4, 8, 16, 32, 64, 128
6, 0.1, 0.01, 0.001, 0.0001
Geometry problem, Fill in the two blanks with the missing angle measures for the triangle shown.
Answer:
A)60°
B)140°
Step-by-step explanation:
Hope it can help you lovelots
#LEARN WITH BRAINLY
What are the coordinates of point A? (–2, –6) (–6, –2) (–6, –3) (–3, –6)
Answer:
(-3,-6)
Step-by-step explanation:
Answer:
(-3, -6)
Step-by-step explanation:
6.
Which of the following describes the parabola with the equation y = 4x^2 − 12x + 9?
A. The axis of symmetry is x = 4 and the vertex is (4, −12).
B. The axis of symmetry is x = −1.5 and the vertex is (−1.5, 36).
C. The axis of symmetry is x = 0 and the vertex is (0, 9).
D. The axis of symmetry is x = 1.5 and the vertex is (1.5, 0).
Answer:
D. The axis of symmetry is x = 1.5 and the vertex is (1.5, 0).
Step-by-step explanation:
y=4x^2-12x+9:\quad \mathrm{Parabola\:with\:vertex\:at}\:\left(h,\:k\right)=\left(\frac{3}{2},\:0\right),\:\mathrm{and\:focal\:length}\:|p|=\frac{1}{16}
To find the vertex of this parabola, "complete the square:" Rewrite y = 4x2 - 12x + 9 in the form y = 4(x - h)^2 + k:
y = 4x^2 - 12x + 9 => y = 4(x^2 - 3x) + 9.
Now complete the square of x^2 - 3x: Take half of -3 and square the result, obtaining (-3/2)^2, or 9/4. Add 9/4 to x^2 - 3x and then subtract 9/4 from the result: We get x^2 - 3x + 9/4 - 9/4. Substitute this result back into
y = 4(x^2 - 3x) + 9: y = 4(x^2 - 3x + 9/4 - 9/4) + 9
and then rewrite the perfect square x^2 - 3 + 9/4 as the square of a binomial:
y = 4(x - 3/2)^2 - 9/4) + 9. This simplifies to:
y = 4(x - 3/2)^2 + 0.
Thus, the vertex is at (3/2, 0) and the axis of symmetry is x = 3/2. This agrees with Answer B.
Given : equation y = 4x^2 − 12x + 9
To Find :
A) The axis of symmetry is x = 0 and the vertex is (0,9).
B)The axis of symmetry is x= 1.5 and the vertex is (1.5, 0).
C)The axis of symmetry is x = 4 and the vertex is (4, -12).
D)The axis of symmetry is x = -1.5 and the vertex is (-1.5, 36).
Solution:
y = 4x² - 12x + 9
=> y = (2x)² - 2(2x)3 + 3²
=> y = (2x - 3)²
=> y = 4(x - 3/2)²
=> y = 4(x - 1.5)²
Axis of symmetry is x= 1.5
Vertex = (1.5 , 0)
The axis of symmetry is x= 1.5 and the vertex is (1.5, 0).
Pls hurry I will give brainliest if answered in the next ten minutes
Answer:
[tex](2 + \sqrt{3}) - (1 + \sqrt{3})i[/tex]
Answer:
(b) (2+√3) -(1+√3)i
Step-by-step explanation:
Add like terms. Real terms are added; imaginary terms are added.
(√3 -i) + (2-√3i) = (√3 +2) +(-i -√3i)
= (√3 +2) -i(1 +√3) . . . . . the common factor of -i can be factored out
= (2 +√3) -(1 +√3)i
Solve the expression and find the value of x.
[tex] \frac{x + 1}{10} - \frac{3(x - 1)}{5} = 2 [/tex]
[tex]\large\underline{\sf{Solution-}}[/tex]
[tex]\sf \dfrac{x + 1}{10} - \dfrac{3(x - 1)}{5} = 2[/tex]
[tex]\sf\longmapsto \dfrac{x + 1}{10} - \dfrac{3x - 3}{5} = 2[/tex]
[tex]\sf\longmapsto \dfrac{(x + 1) - 2(3x - 3)}{10} = 2[/tex]
[tex]\sf\longmapsto \dfrac{x + 1 - (6x - 6)}{10} = 2[/tex]
[tex]\sf\longmapsto \dfrac{x + 1 - 6x + 6}{10} = 2[/tex]
[tex]\sf\longmapsto \dfrac{ - 5x + 7}{10} = 2[/tex]
[tex]\sf\longmapsto - 5x + 7 = 20[/tex]
[tex]\sf\longmapsto - 5x = 20 - 7[/tex]
[tex]\sf\longmapsto - 5x = 13[/tex]
[tex]\sf\therefore x = - \dfrac{13}{5} [/tex]
Hence, the value of x will be -13/5 respectively.
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex]\frac{x + 1}{10} - \frac{3(x - 1)}{5} = 2 \\ [/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex]\frac { x + 1 } { 10 } - \frac { 3 ( x - 1 ) } { 5 } = 2 \\ \frac { x + 1 } { 10 } - \frac { 3 ( x - 1 ) } { 5 } = \frac{2}{1} [/tex]
Take a look at the denominators. The denominators are 10, 5 & 1. Their LCM is 10. So, multiply the fractions on both the sides of the equation by 10.
[tex]\frac { x + 1 } { 10 } - \frac { 3 ( x - 1 ) } { 5 } = \frac{2}{1} \\ \frac{x + 1}{10} \times \frac{1}{1} - \frac{3x - 3}{5} \times \frac{2}{2} = \frac{2}{1} \times \frac{10}{10} \\ \frac{x + 1}{10} - \frac{6x - 6}{10} = \frac{20}{10} [/tex]
Now cancel the denominators (as they have the same value) & take the numerators.
[tex]x + 1 - (6x - 6) = 20 \\ [/tex]
Now, simplify it.
[tex]x + 1 - (6x - 6) = 20 \\ x + 1 - 6x + 6 = 20 \\ x - 6x + 1 + 6 = 20 \\ - 5x + 7 = 20 \\ - 5x = 13 \\ x = -\frac{13}{5} \\ \boxed{ \boxed{ \bf x = - \frac{13}{5} =\: - 2 \frac{3}{5} = - 2.6}}[/tex]
__________________
Hope it'll help you!
ℓu¢αzz ッ
Which equation matches the graph
Give me answers plz
Answer:
D: [tex]5x-8y=40[/tex]
Step-by-step explanation:
At a glance: Last one, it's the only one with different signs for x and y coefficient, and the graph is growing.
Some more reasoning: Write all of them in slope-intercept point:
[tex]A: y= -\frac58x +\frac52\\B: y= -\frac85x+4\\C: y= -\frac85x+8\\D:y=-\frac58x-5[/tex]
The only one with a compatible slope and intercept is D
Number crunching: replace the coordinates of either [tex](8;0)[/tex]or[tex](0;-5)[/tex]. As soon as the equality stops holding, that option isn't valid anymore.
Example: A w/ [tex](0;-5)[/tex]: [tex]\frac 52(0) +4(-5) = 10 \rightarrow -20 = 10[/tex] which isn't true, so A is out.
Which of the following mathematical
expressions is equivalent to the verbal
expression "A number, k, doubled is 24 less
than the product of k and 3”?
A) 2k = 3k - 24
B) k2 = 3k - 24
C) 2k = 24 – 3k
D) 2k = 24 + 3k
Answer:C
2K = 24 -24
Step-by-step explanation:
Answer:
thisBiraanin why h chpaidrysayeo ingfreakt qualse
Step-by-stepkStep-by-step explanation:
Asap help Asap for Brainlist
Answer:
Third option again lma.oo
Hope this helps
Answer:
Third answer, or C
Step-by-step explanation:
To calculate the numbers of subatomic particles in an atom, use its atomic number and mass number: number of protons = atomic number. number of electrons = atomic number.
Dubnium Properties
Electrons: 105
Protons: 105
Neutrons: 157
Electron Configuration: [Rn] 5f14 6d3 7s2
Atomic Radius: 139 (estimated)
Susan made $357 for 17 hours of work.
At the same rate, how much would she make for 9 hours of work?
Answer:
$189
Step-by-step explanation:
first, divide 357/17 to find the unit rate, which is $21/hour, then multiply 21*9 to find how much she would make in 9 hours. 21*9 = 189, so she would make $189.
what is .072 divided by 345.00 rounded to the nearest tenth?
Answer:
.072 / 345.00 = 0.0002086956
the tenth place is the first digit to the right of the decimal point so it would round to 0.0
Round to the nearest tenth of the number is 0.
We need to round it to the nearest tenth.
Write the above expression in fractional form.
{0.072}{345} = 0.00028
the Round to the nearest tenth of the number is 0.
HOPE THIS HELP
Make y the subject of each of y − p = m
Answer:
Y=m+P
Step-by-step explanation:
oooooooooof me lol
can someone please help me with this
Answer:nahhh nope nevernahhh nope never
Step-by-step explanation:nahhh nope never nahhh nope never
For the piecewise defined function f (x)=
3x-1 x<3
1/2 x + 7. x>3
what is the following is the value of f (6) ?
Answer:
10
Step-by-step explanation:
f(x)=f(6) means x=6
Now, as 6>3 we use the formula for x>3
Substituting 6 into 1/2x+7 we get,
1/2(6)+7
=3+7
=10
The value of function at x= 6 is 10.
What is Piecewise function?A piecewise-defined function in mathematics is one that is composed of several smaller functions, each of which has a certain interval of the domain it applies to. Instead of being a property of the function itself, piecewise definition is a means to express the function.
We have,
f(x) = 3x -1 , x<3
1/2x + 7, x>3
Now, for x = 6 which falls in condition x>3
f(6) = 1/2(6)+ 7
f(6) = 3 + 7
f(6)= 10
Learn more about Piecewise function here:
https://brainly.com/question/22428835
#SPJ7
Someone plz help me :(
Answer:
B) 5 gallons
Step-by-step explanation:
4 quarts = 1 gallon
multiply each number by 5
20 quarters = 5 gallons
Answer:
5
Step-by-step explanation:
If there are 4 quarts in a gallon and you are given 20 quarts divide 20 by 4 and you get 5
Tyler's father is a used car salesman. He receives 5% commission for every car he sells. How much commission does he earn if he sells a car for $22,000?
Group of answer choices
Answer:
£1100
Step-by-step explanation:
10% of 22000=2200
2200/2=5%=1100
PLEASE HURRY
Explain what pattern or patterns do you see when you are subtracting a negative number as the subtrahend? For example: 8 – (-2) ?
Answer:
8 - (-2) = 10 there you go!
Step-by-step explanation:
Answer:
When you subtract a negative numbe, it is the same as adding the number. For example, 8-(-2) can be written as 8+2. Two negatives make a positive.
:)
Peter sells shoes. On Monday he sold 15 shoes in 3 hours. On Tuesday he sold 20 shoes in 4 hours. What is the constant of proportionality for the number shoes Peter sells in an hour?
A) 2
B) 4
C) 3
D) 5
Answer:
D) 5
Step-by-step explanation:
To find the unit rate or the amount of shoes per hour. Take the amount of shoes sold and divide by how many hours. On Monday he sold (15/3) or 5 shoes per hour and on Tuesday he sold (20/4) or 5 shoes sold per hour again.
A bus is moving at a pace of 43.65 miles in 0.4 of an hour. How many miles will this car travel in 3 hours?
Speed of car in first 15 minutes = 40 km/h
Distance covered = speed × Time taken
60 minutes = 1 hour
15 minutes =
60
15
hour
Distance covered = 240×
60
15
=10km
Speed of car in next 15 minutes = 60 km/h
Distance covered = 60×
60
15
=15km
∴ Total distance covered = (10+15)km = 25 km
∴ 25 km is correct
Can someone help me with this please?
Step-by-step explanation:
we have one large rectangle and 2 small right-angled triangles to add.
the area of the rectangle is easy : 15×25 = 375
the right-angled triangle on the long side has one side = 5, and the "invisible" side is 25 - 12 - 5 = 8.
these 2 sides are hitting each other in a right angle and can therefore be used as baseline and height of the triangle.
the area of a triangle is baseline×height/2.
so, the area of the this triangle is 8×5/2 = 20.
the right-angled triangle on the right short side has one side = 5, and the "invisible" side is 15 - 10 = 5.
these 2 sides are hitting each other in a right angle and can therefore be used as baseline and height of the triangle.
so, the area of the this triangle is 5×5/2 = 12.5.
so the total area is
375 + 20 + 12.5 = 407.5
EMERGENCY!! PLEASE HELP ME IMMEDIATLEY PLEASE!!!PLEASE HELP MEEEE!!!!
Answer:
y=1/2-2
Step-by-step explanation:
Given ∠9≅∠13. Which lines, if any, must be parallel based on the given information? Justify your conclusion. c∥d, Converse of the Same-Side Interior Angles Theorem a∥b, Converse of the Alternate Interior Angles Theorem c∥d, Converse of the Corresponding Angles Theorem not enough information to make a conclusion Two horizontal, parallel lines, line c and line d, where line c is above line d. These lines are intersected by two diagonal parallel lines, line a and line b. Line a is to the left of line b. The angles created by each intersection are numbered. From top left, going clockwise, the angles where line a intersects line c are labeled eleven, ten, nine, and twelve. The angles where line b intersects line c are labeled seven, six, five, and eight. The angles where line a intersects line d are labeled fifteen, fourteen, thirteen and sixteen. The angles where line b intersects line d are labeled three, two, one and four.
Solve 47 = -3 + 8y.
Answer:
Answer is y = 25/4
What is the product of −314 and −112?enter your answer as a mixed number,.
Answer: 314 -(112)
-314 -(112)= -314 * -112
Step-by-step explanation:
What equation represents the relationship between X and Y shown in the table below
Answer:
f(x)=3(-13)^x
Step-by-step explanation:
since we know that our x=0 then y=3(-13)^0
=3
put it in mind that during the indices we learnt that any number to the power zero is 1 and any number to the power 1 it is the number itself so we can continue to say
y=3(1)
=3
Help please I going to get an f please help
Answer:
The answer is a.
Step-by-step explanation:
The equation formula is y=mx+b. M stands for the slope. B stands for the y-intercept. In the question, it says that your slope is 3/8 and that your y-intercept is -2. Remember, if it says (0, -2), and 0 is your x-coordinate, it means that it is a y-intercept. So, plug in the numbers into the formula and the equation should be: y=3/8x-2
hope this helps :)
3 4/3 ^ 2 =
Solve the equation
(3 4/3)²
= (13/3)²
= 169/9
= 18.77
_____
RainbowSalt2222 ☔
a=8 and b=24 what would ab be?
Answer:
192
Step-by-step explanation:
Given,
a = 8
b = 24
To find : ab = ?
ab
= 8 x 24
= 192
Answer:
192
Step-by-step explanation:
...................
-(3x +2) + 2= -5
In simplest form.
Answer:
here is the answer x= 5/3
Step-by-step explanation:
List all the factors of 12 from least to greatest. Enter your answer below,
using a comma to separate each factor.
Answer/Step-by-step explanation:
In order, from least to greatest, the factors of 12 are 1, 2, 3, 4, 6, and 12.
Can you solve this inequality? -4x-5>1/4(x+31)
Answer:
x < -3
Step-by-step explanation:
its correct that the answer.
Step-by-step explanation:
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