Answer:
We conclude that the line of equation containing the point (3, -3) with the slope m =3 will be:
[tex]y=3x-12[/tex]The graph of the line is also attached.
Step-by-step explanation:
Given
The point (3,-3)The slope m = 3Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line (x₁, y₁) is the pointsubstituting the values m = 3 and the point (x₁, y₁) = (3,-3)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-3\right)=3\left(x-3\right)[/tex]
Apply rule: -(-a) = a
[tex]y+3=3\left(x-3\right)[/tex]
subtract 3 from both sides
[tex]y+3-3=3\left(x-3\right)-3[/tex]
simplify
[tex]y=3x-12[/tex]
Therefore, we conclude that the line of equation containing the point (3, -3) with the slope m =3 will be:
[tex]y=3x-12[/tex]The graph of the line is also attached.
$700 is invested for a year. If the yearly interest rate
is 4.5%, how much interest is earned in one year?
Answer:
the interest amount is $31.50
Step-by-step explanation:
700 multiplied by 0.045 =31.5
Ana played 4444 rounds of golf and then played her lowest round of golf with a score of 80808080.
The scores of the first 4 rounds\blueD{\text{first 4 rounds}}first 4 roundsstart color #11accd, start text, f, i, r, s, t, space, 4, space, r, o, u, n, d, s, end text, end color #11accd and the lowest round\purpleC{\text{lowest round}}lowest roundstart color #aa87ff, start text, l, o, w, e, s, t, space, r, o, u, n, d, end text, end color #aa87ff are shown in the following dot plot.
A dot plot has a horizontal axis labeled, Golf score, marked from 80 to 100, in increments of 1. 1 dot is plotted above each of the following values: 80, 90, 92, 94, 96. The dot above 80 is shaded purple.
How did the lowest round\purpleC{\text{lowest round}}lowest roundstart color #aa87ff, start text, l, o, w, e, s, t, space, r, o, u, n, d, end text, end color #aa87ff affect the mean and median?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The median decreased, and the mean increased.
(Choice B)
B
The mean decreased, and the median increased.
(Choice C)
C
Both the median and mean decreased, but the mean decreased by more than the median.
(Choice D)
D
Both the median and mean decreased, but the median decreased by more than the mean.
Answer:
I'm going to chose B sorry if that the wrong answer
Answer:
It's C
Step-by-step explanation:
The graph shows the amount of water in a bathtub starting at 10:00 pm. Select all true statements.
A) The tub was filling faster at 10:14 pm than at 10:01 pm.
B) At 10:06 pm, the tub was neither filling nor draining
C) The maximum amount of water in the tub was about 35 gallons.
D) The amount of water in the tub stayed the same from 10:16 pm to 10:20 pm.
E) It took 4 minutes for the tub to drain.
PLZ I NEED HELP
Answer:
A, B, and C
Step-by-step explanation:
The true statements are B, C and E.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given is a graph of the amount of water in a bathtub with respect to time.
A) This statement means that the slope of the line at 10 : 01 pm is smaller than that of at 10 : 14 pm.
The line is steeper at 10:01 pm than that at 10:14 pm. That is the tangent of the angle making with the x axis at 10:01 pm is higher than that at 10:14 pm.
So the tub is filling at a faster rate at 10:01 pm than at 10:14 pm.
B) At 10:06 pm, the amount of water is constant at 30 gallons. So this statement is correct.
C) The maximum amount of water in the tub was about 35 gallons is a correct statement since after that the tub was draining.
D) The amount of water in the tub stayed the same from 10:16 pm to 10:20 pm is not correct, since the water was draining during the time and thus, water was decreasing.
E) It took 4 minutes for the tub to drain. It is correct since the draining starts at 10:16 pm and ends at 10:20 pm.
Hence the correct statements are B, C and E.
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Evaluate the equation.
a + 6.6 = 12.6
A. a = 5
B. a = 6
C. a = 18.2
D. a = 19.2
Answer:
[tex]a = 6[/tex]
Step-by-step explanation:
subtract 6.6 from both sides and you get the answer
Write the linear equation that gives the rule for this table.
x f(x)
0 0
1 9
2 18
3 27
Answer:
[tex]f(x) = 9x[/tex]
Step-by-step explanation:
Given
The attached table
Required
Rule of the table
First, we calculate the slope(m)
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (3,27)[/tex]
[tex]m = \frac{27 -0}{3 - 0}[/tex]
[tex]m = \frac{27}{3}[/tex]
[tex]m = 9[/tex]
The table equation is:
[tex]y - y_1 = m(x - x_1)[/tex]
So, we have:
[tex]y - 0 = 9(x - 0)[/tex]
[tex]y - 0 = 9(x)[/tex]
[tex]y= 9x[/tex]
Hence:
[tex]f(x) = 9x[/tex]
please help asap!:) Thank you!
Answer:
(f + g)(3) = 9
Step-by-step explanation:
Given:
f(x) = x² + 1
g(x) = x - 4
Required:
(f + g)(3)
SOLUTION:
✔️Find f(3) by substituting x = 3 into f(x) = x² + 1:
f(3) = (3)² + 1 = 9 + 1
f(3) = 10
✔️Find g(3) by substituting x = 3 into g(x) = x - 4:
g(3) = 3 - 4
g(3) = -1
✔️Find (f + g)(3):
(f + g)(3) = f(3) + g(3)
= 10 + (-1)
= 10 - 1
(f + g)(3) = 9
Charlotte bought 16 songs. three-fourths of the songs are pop songs. How many songs are Pop Songs?
Answer:
12
Step-by-step explanation:
hope it helps!!!! good luck!!!!
Answer:
12
Step-by-step explanation:
You take 16 divided 4 and get 4 then 3/4 is 4*3
plsplsplspls answer this ):
Answer:
f(x)=x
Step-by-step explanation:
if its on center (0,0) with no add on then its like that. if it was f(x)= x+2 it would be elevated by 2 points. hope this helps!
find the value of 3x-2 when x = 4
Step-by-step explanation:
3x-2 when x=4
3(4)-2
12-2
=10
11.
There are 731 Lego pieces in
each set. A case contains 144
sets of Legos. How many Lego
pieces are in a whole case?
help me pls it’s due today
Answer:
Step-by-step explanation:
i divide all by 4
=-(5z+6)=-5z-6
Which system of linear inequalities is represented by the
graph?
+ 3 and 3x - y> 2
O y2x+3
Oy23x+3 and 3x –y> 2
O yzx-
Oy2x+3 and 2x-y> 2
(+ 3 and 3x + y > 2
-2
Answer:
first choice: y≥1/3 x+3 and 3x-y>2
Step-by-step explanation:
The system of linear inequalities is: [tex]y \ge \frac{1}{3}x + 3[/tex] and [tex]3x -y > 2[/tex]
The orange lineThe equation of the orange line is calculated using:
[tex]y = \frac{y_2 - y_1}{x_2-x_1} \times (x -x_1) + y_1[/tex]
This gives
[tex]y = \frac{3- 4}{0-3} \times (x -3) + 4[/tex]
[tex]y = \frac{- 1}{-3} \times (x -3) + 4[/tex]
[tex]y = \frac{1}{3} \times (x -3) + 4[/tex]
Open the bracket
[tex]y = \frac{1}{3}x -1 + 4[/tex]
[tex]y = \frac{1}{3}x + 3[/tex]
The inequality has a thick line, and the upper region is shaded.
So, the inequality is:
[tex]y \ge \frac{1}{3}x + 3[/tex]
The gray lineThe equation of the gray line is calculated using:
[tex]y = \frac{y_2 - y_1}{x_2-x_1} \times (x -x_1) + y_1[/tex]
This gives
[tex]y = \frac{4- 1}{2-1} \times (x -1) + 1[/tex]
[tex]y = \frac{3}{1} \times (x -1) + 1[/tex]
[tex]y = 3 \times (x -1) + 1[/tex]
Open the bracket
[tex]y = 3x -3 + 1[/tex]
[tex]y = 3x -2[/tex]
The inequality has a dotted line, and the right region is shaded.
So, the inequality is:
[tex]y < 3x -2[/tex]
Rewrite as:
[tex]3x -2 > y[/tex]
So, we have:
[tex]3x -y > 2[/tex]
Hence, the system of linear inequalities is:
[tex]y \ge \frac{1}{3}x + 3[/tex] and [tex]3x -y > 2[/tex]
Read more about system of inequalities at:
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The slope of the line below is 2. Use the coordinates of the labeled point to find a point-slope equation of the line. (3.10)
James and Terry open a savings account that has a 2.79% annual interest rate,
compounded monthly. They deposit $500 into the account. How much will be in the
account after 20 years?
Answer:
The answer should be $279 If im right if not sorry
Step-by-step explanation:
500 x 2.79% x 20 = 279
Which grows faster as x increases, x³ or 3^x? Explain.
Answer:
exponential functions are always the quickest to grow
3^x
Step-by-step explanation:
The chart below shows conversion between gallons in fluid ounces what is the missing value in the table?
Answer:
768
Step-by-step explanation:
a gallon = 128 fluid ounces so 6 gallons would be 768 fluid ounces
Answer:
Step-by-step explanation:
Brenda needs to solve the system of linear equations below for her homework assignment. y = 9x – 70 y = 2x – 32 Which is a reasonable estimate of the solution to this system of linear equations?
Step-by-step explanation:
We have y = 9x - 70 and y = 2x - 32.
=> 9x - 70 = 2x - 32
=> 7x = 38
=> x = 38/7 which is around 5.43.
Answer:
Equations are :--- y = 9x – 70 and y = 2x – 32
Substituting the value of y, we get
[tex]9x - 70 = 2x - 32 \\ 7x = 38 \\ x = \frac{38}{7} \\ \boxed{x = 5.43} \\ y = 9x - 70 \\ y = 9( \frac{38}{7} ) - 70 \\ \boxed{ y = - 21.14}[/tex]
5(9+d) -6 when d=3 hjvbvb
Hey there!
If d = 3 then substitute where “d” is at, now let’s work out the equation!
5(9 + 3) – 6
• DISTRIBUTE:
5(9) + 5(3)
5(9) = 45
5(3) = 15
• NEW EQUATION:
45 + 15 – 6
45 + 15 = 60
60 – 6 = 54
Answer: 54 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
SIDE NOTE:
You could use PEMDAS to solve this as well.
Here’s what it means ⬇️
• Parentheses
• Exponent
• Multiplication
• Division
• Addition
• Subtraction
Which one should I choose
Answer:
i believe its 9 too
Step-by-step explanation:
2x^2+2y^3-6xy + 2x^2+5y^3+12xy
Answer:
4x^2 + 7y^3 + 6xy
Step-by-step explanation:
2x^2+2y^3-6xy + 2x^2+5y^3+12xy
2x^2 + 2x^2 = 4x^2
2y^3 + 5y^3 = 7y^3
-6xy + 12xy = 6xy
PLEASE HELP Find the common difference in a arithmetic sequence and the next three terms Numbers: 20,10,0,-10,_,_,_
Answer:the common difference is 10
The answer is -20,-30,-40
Step-by-step explanation:
In ΔNOP, o = 720 inches, ∠P=163° and ∠N=16°. Find the length of n, to the nearest 10th of an inch
Answer:
11371.4
Step-by-step explanation:
delta math
The length of n is 11373.1 inches
What is triangle?"It is a polygon having three sides, three vertices.""The sum of all angles of triangle is 180°"
For given example,
As we know for ΔNOP,
[tex]\frac{n}{sinN}=\frac{0}{sinO}=\frac{p}{sinP}[/tex]
We know that the sum of all angle of triangle is 180°
For ΔNOP,
⇒ ∠N +∠O + P = 180°
⇒ 16° + ∠O + 163° = 180°
⇒ ∠O = 180 - 179
⇒ ∠O = 1°
The length of n is,
[tex]\frac{n}{sinN}=\frac{0}{sin1}\\\\n(sin1)=0(sin16)\\\\0.01745(n)=720(0.27564)\\\\n=\frac{198.4608}{0.01745}\\\\n=11373.112\\\\n\approx 11373.1~in.[/tex]
Therefore, the length of n is 11373. 3 inches
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What is the equation of the line that has a slope of 0 and a y-intercept of -2/3
Answer:
[tex]y = x - \frac{2}{3} [/tex]
from
[tex]y = mx + c[/tex]
Step-by-step explanation:
since the gradient of the line is 0
What Is the area of a rectangular board whose dimensions are 1.67 m by 9.35 m?
Answer:
15.6145 meters squared
Step-by-step explanation:
multiply the 2 together
Answer:
15.6145
Step-by-step explanation:
Solve by substitution:
4r + 5y = 2
y = 2x + 6
This is due todayso like help☝
Answer:
2. 84= 0.84
3. 32%= 8/25
4. 32%= 0.32
Step-by-step explanation:
Harry's math test scores are listed below.
95, 90, 85, 40, 100, 100, 95, 100, 85, 90
Which measure of central tendency most closely describes Harry's overall
performance on the math tests?
Answer:
Mode
Step-by-step explanation:
The mode is the measure of the central tendency in which the number is appeared many times
As in the given situation
The 100 would be appear 3 times
So this represent the mode
Hence, the mode that measures the central tendency is most close and describe the math test performance
Here is a tricky but fun problem involving large exponents or high powers.
Which of the following numbers is greater, 31¹³ or 17¹⁷?
Answer:
17 ^17
Step-by-step explanation:
Its power is bigger
You shouldn't be tricked because 31 is more than 17
Step-by-step explanation:
Notice that 31 + 1 = 32 = 2⁵ and 17 - 1 = 16 = 2⁴.
31¹³ < 32¹³
= (2⁵)¹³ = 2⁶⁵
= 2(2⁴)¹⁶ = 2 * 16¹⁶
< 16¹⁷ < 17¹⁷.
Hence 17¹⁷ is greater than 31¹³.
What is the value of x in the equation Negative StartFraction 5 over 8 EndFraction x = negative 160?
Answer:
x= 256
Step-by-step explanation:
[tex]-\frac{5}{8}x=-160\\\\-[-\frac{5}{8}x]=-[-160]\\\\\frac{5}{8}x=160\\\\8[\frac{5}{8}x]=8[160]\\\\5x=1280\\\\\frac{1}{5}[5x]=\frac{1}{5}[1280]\\\\x=256[/tex]
Answer:
x=256
Step-by-step explanation:
2) The sum of two number is 27. The difference of the numbers is 15. Which represents
one of the numbers
A) 26
B) 4
C) 22
D) 6
Answer:
6 because 6+15=21 and 21+6=27