Answer:
y=2(x+5)^2-4.
Step-by-step explanation:
By solving a little bit, we get the vertex to be (-5, -4). Plugging the info given and the vertex into the vertex form, we get y=2(x+5)^2-4. You have a happy holiday season, too!
Write a function representing the line that includes the points (2,18) and (5,36).
Answer:
Step-by-step explanation: Find the y-intercept. Write the equation in slope-intercept form. Write an equation of the line that passes through each pair of points. 5. (4, −3), (2, 3)
y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two points are (2,18) and (5,36).
m=36-18/5-2
=18/3=6
slope of line is 6.
Now we need to find the equation of line passing through (2,18) and (5,36).
We need to find the y intercept.
18=6(2)+c
18=12+c
18-12=c
6=c
So y intercept is 6
The equation of line is y=6x+6
Hence y=6x+6 is the function representing the line that includes the points (2,18) and (5,36).
To learn more on slope of line click:
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Find the slope for (3,0) and (4,1)
Answer:
The slope is 1
Step-by-step explanation:
the formula for finding slope is : y2-y1/x2-x1
2. Subsitute: (1)-(0)/(4)-(3) = 1/1 = 1
Therefore, the slope is 1.
Convert the binary number 10101 to its base 10 equivalent.
12
21
22
31
10101₂ = 1×2⁴ + 0×2³ + 1×2² + 0×2¹ + 1×2⁰
10101₂ = 16 + 0 + 4 + 0 + 1
10101₂ = 21
Here see below
[tex]\\ \sf\Rrightarrow (10101)_2[/tex]
[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]
[tex]\\ \sf\Rrightarrow 1+4+16[/tex]
[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]
Match each inequality with its solution set.
1.
5 - 3x ≥ 11
2.
1 + 3x ≥ -5
3.
5x + 7 ≥ 17
4.
2x + 1 ≤ 3
1.
5 - 3x >= 11
-3x >= 11-5
-3x >= 6
3x <= -6
x <= -6/3
x <= -2
x ∈ (-∞ ; -2]
2.
1 + 3x >= - 5
3x >= -5 - 1
3x >= -6
x >= -6/3
x >= - 2
x ∈ [-2 ; + ∞)
3.
5x + 7 >= 17
5x >= 10
x >= 10/5
x >= 2
x ∈ [2 ; + ∞)
4.
2x + 1 <= 3
2x <= 2
x <= 1
x ∈ (-∞ ; 1]
Good Luck
PLEASE HELP !! Find the value of x in the triangle shown below. x=?
Answer:
x+44+29=180
x+73=180
x=180-73
x=107
Answer: x+44+29=180
x+73=180
x=180-73
x=107
Step-by-step explanation:
I have no clue lol
I accidently put supplementary so ignore that.
Answer:
5. Vertical
6. 133°
Step-by-step explanation:
These are vertical angles; Vertical angles are congruent. Therefore, x = 133°.
PLEASE HELP!! BRAINLIEST ASAP
(i put 4 for the last one cause thats the answer, but please, all im asking is for the correct answers for 2 blanks!!)
Answer:
12+16 = 2(10+4)
Step-by-step explanation:
12+16 = 2(10+4)
6. David bought 3 DVDs for 4 books for $40 at a yard sale. Anna bought 1 DVD and 6 books for
$18. How much did each DVD and book cost?
Answer:
5
Step-by-step explanation:
just had this question
What Is the answer to the two questions? 18 points! p.s. Brainliest
Answer:
Look at other page answer is there
Step-by-step explanation:
Helena is planning to put new tile on her kitchen floor, the
dimensions of which are given above. Find the area, in square
feet, of the kitchen floor.
A. 58
B. 31,680
C. 356
D. 276
Answer: B
Step-by-step explanation:
Graph the solution to the inequality on the number line.
p<20.2
help
Answer:
it is an open circle on 20.2 and is going to the left
Step-by-step explanation:
I hope this helps :)
Help!!! Ill give 100 points!
Answer:
7/20
Step-by-step explanation:
Answer: if you calculate math yo7 would get 7/20
Step-by-step explanation:
Some studies show that high school students are more successful when the school day begins after 9 am. To test this theory,
Lake High School changes its school day start time from 7 am to 9 am. Which of the following methods would best describe
the study above?
O A experimental study
OB. observational study
OC. survey
OD
controlled experiment
a
Reset
Submit
Answer:
It's probably B
Step-by-step explanation:
Which values from the set negative 6, negative 4, negative 3, negative 1, zero, 2, satisfy this inequality?
Negative one half x, plus 3, is greater than or equal to 5.
Answer:
- 6
Step-by-step explanation:
- [tex]\frac{1}{2}[/tex] x + 3 ≥ 5 ( subtract 3 from both sides )
- [tex]\frac{1}{2}[/tex] x ≥ 2 ( multiply both sides by 2 to clear the fraction )
- x ≥ 4
Multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity.
x ≤ - 4
The only value from the set which satisfies the inequality is
x = - 6
Company A: A 2-column table with 5 rows. The first column is labeled hours with entries 5, 12, 20, 29, 42. The second column is labeled earnings (dollar sign) with entries 340, 404, 460, 530, 630. Company B: A 2-column table with 5 rows. The first column is labeled hours with entries 4, 9, 20, 32, 39. The second column is labeled earnings (dollar sign) with entries 125, 234, 450, 668, 828. If Amelia wants to make the maximum amount of money working only 22 hours per week, which company should she work for? Explain your answer. Company A: Using linear regression models from both data sets, she determines that it pays about $14 more. Company A: Using quadratic regression models from both data sets, she determines that it pays about $5 more. Company B: Using linear regression models from both data sets, she determines that it pays about $10 more. Company B: Using exponential regression models from both data sets, she determines that it pays about $8 more.
Answer:
86 & tends to increase
Step-by-step explanation:
Goodluck :)
Answer:
Company B: Using linear regression models from both data sets, she determines that it pays about $10 more.
Step-by-step explanation:
C/3
Solve the equation.
a-6=13
Answer:
a=19
Step-by-step explanation:
In this equation you want to solve for a
In this case you simply add 6 to 13 because -6 is attached to the a on the left side and you want a on it's own.
a - 6 = 13
+6 +6 (-6+6 = 0) (6+13=19)
a = 19
Line a ∥ line b. Find the value of x and y. Please show all work for credit.
Answer:
x = 12, y =
Step-by-step explanation:
a || b
5x - 7 = 3x + 17 Alternative Interior Angles
x = 12 Algebra
Angle 3x + 17 = 53 Substitution
53 + 4y + 3 = 180 Supplementary Angles
y = 31
Find the equation of a line parallel to line y = 6 that passes through the point (-2,-1).
The line y = -1 parallel to line y = 6 that passes through the point (-2,-1).
Solve using substitution.
3x + 2y = -13
X – 9y = 15
Answer:
Step-by-step explanation:
x = 7/11, y = -16/11
The distance between two cities is 180 km. The distance was
covered by a car at a rate of 50 km/h, by a bus at 45 km/h, by a
truck at 40 km/h, and a by a bicycle at 25 km/h. What is the constant of
variation?
Answer:
Step-by-step explanation:
he distance between two cities is 180 km.
Speed = distance/time
v = s/t from this we can calculate for time
Time = distance /speed
This distance was covered by a car at a rate of 50 km/h
Time taken by the car to cover this distance of 180km
= 180/50 = 3.6 hours
This distance was covered by a bus at 45 km/h
Time taken by the bus to cover this distance of 180km
= 180/45 = 4 hours
This distance was covered by a truck at 40 km/h
Time taken by the truck to cover this distance of 180km
= 180/40 = 4.5 hours
This distance was covered by a bicycle at 25 km/h
Time taken by the truck to cover this distance of 180km
= 180/25 = 7.2 hours
Therefore:
speed and time are directly proportional.
Speed, s is inversely proportional to time, t
xy = k (inverse variation) or y/x = k (direct variation), where k is the constant of variation
Introducing constant of variation, k
s = k/t
When s = 25, t = 7.2
25 = k/7.2
k = 7.2× 25 = 180
So
s = 180/k
Question 1 (1 point)
Order the decimals from least to greatest.
10 3.06, 3.6, 3.066, 3.006
least
greatest
10) LEAST
GREATEST
Blank 1:
Answer:
3.006, 3.06, 3.066, 3.6, 10
Step-by-step explanation:
Numbers written in a place-value system are compared left-to-right. If the digits with the same place-value multiplier being compared are the same, then the next digits to the right need to be compared.
The number 10 is the greatest. (None of the others have a digit in the 10s place.)
The number 3.6 is the next greatest. (6 in the tenths place is the largest digit there.)
The number 3.066 follows that, then 3.06.
3.006 is the least.
In order from least to greatest, the numbers are ...
3.006, 3.06, 3.066, 3.6, 10
Maths question algebra
Step-by-step explanation:
=
38.64=9.2h/2
=
38.64=4.6h
=
h = 38.64/4.6
h = 8.4
thats it
3. What percent of 150 is 15?
unknown:
Known:.
Answer:
Step-by-step explanation:
Help figure this out quick!
If the x axis is positive and the y is zero what’s quadrant or axis is it in?
If l || m, find the value of x
Answer:
x = 27°
Step-by-step explanation:
l ║ m Given
(x + 72) + (3x) = 180° If parallel line then same-side angles = 180°
4x + 72° = 180°
4x = 180° - 72°
4x = 108°
x = 108°/4
x = 27°
solve question 5 all steps
Answer:
Answer in the pic with steps
Hope it helps
when amy us doing he homework, she writes the divisor 76 as 67 by accident, and the result is a quotient of 15 and a reminder of 5. what is the correct quotient?
Answer:
13 r 22
Step-by-step explanation:
The dividend of Amy's division problem is d such that ...
d/67 = 15 +5/67
Multiplying by 67, we get ...
d = 15(67) +5 = 1010
When this is divided by 76, the result is ...
1010/76 = 13 22/76
The correct quotient is 13 remainder 22.
A wheel has a radious of 50cm. How many times would the wheel go around if it rolled for 10km
write the equation of the line in fully simplified slope-intercept form
Answer:
y = 3x - 7
Step-by-step explanation:
Slope - Intercept Form : [tex]y = mx+b[/tex]
[tex]m[/tex] = slope
[tex]b[/tex] = y - intercept
Slope = [tex]\frac{rise}{run}[/tex]
= [tex]\frac3{1}[/tex]
= [tex]3[/tex]
So far: [tex]y = 3x + b[/tex]
Plug in a point from the graph, ex. (3,2)
[tex]2 = 3(3) + b\\\\2 = 9 + b\\\\b = -7[/tex]
Equation : [tex]y = 3x - 7[/tex]
-Chetan K