Write the equation of the line, in general form, that has a slope of 3 and a y-intercept of -5.
Answer:
y = 3x - 5
Step-by-step explanation:
To find the equation of the line, you can use y = m x + c.
Here,
m ⇒ slope
c ⇒ y-intercept
Given that,
slope = 3
y-intercept = -5
So, to find the equation of the line you have to simply replace m and c in the formula, (y = m x + c )with the given slope and y-intercept.
Let us solve it now.
y = m x + c
y = 3x - 5
Answer:
y = 3x - 5
Step-by-step explanation:
Slope-intercept form of an equation
y = mx + bm = slopeb = y-interceptGiven that m = 3 and b = -5
y = 3x - 5HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
mode = 6
range = 7
Step-by-step explanation:
To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.
A doctor wants to estimate the difference in mean healing time of Achilles tendon injuries among those who have major and minor strains. The doctor selects a random sample of 5 patients who had major strains and 8 patients who had minor strains and recorded the healing time, in weeks. Here are the data: Major: 8, 9.5, 10, 12, 11.5 Minor: 6, 7, 5.5, 8, 9, 6, 7, 6 Assume the length of healing time for both major and minor Achilles injuries is nearly Normal. Using a graphing calculator to construct a 95% confidence interval for μMajor – μMinor = the true difference in the mean healing time for these two injuries. Enter the values to 3 decimal places. (, )
Answer: 1.406, 5.369
Step-by-step explanation:
edg22
When you use a graphing calculator to construct a 95% confidence interval for μMajor – μMinor = the true difference in the mean healing time will be 1.406, 5.369.
What is a Graphing Calculator?A graphing calculator is known to be a kind of handheld computing device that is used for plotting of graphs, handling simultaneous equations, etc.
Note that by inputting those numbers such as Major: 8, 9.5, 10, 12, 11.5 Minor: 6, 7, 5.5, 8, 9, 6, 7, 6 , following the right equation on the graphing calculator, one can be able to construct a 95% confidence interval for μMajor – μMinor = and the the true difference in the mean healing time will be found to be 1.406, 5.369.
Learn more about calculator from
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Ana y Maria vieron 2 hombres robar una joyería y también vieron como alcanzaron a salir. cuando fueron interrogadas por la policía, las jóvenes dieron información sobre la placa del auto que vieron alejarse: constaba de dos letras seguidas de cuatro dígitos. María aseguraba que la segunda letra era una O o una Q y que el último dígito era un 3 a un 8. Y Ana dijo que la primera letra era una C o una G y que el primer dígito de la definitivamente un 7. ¿Cuántas placas diferentes tendrá que verificar la policía para dar a conocer el auto que vieron Ana y María?
have a government
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Step-by-step explanation:
yan napo lahat answer
PLEASE HELP W BOTH PRECALC QUESTIONS!!!
Answer:
Step-by-step explanation:
Use the formulas supplied in the picture attached. There's nothing to really learn here, it is just a plug-and-chug formula:
[tex]sin(3x)sin(2x)=\frac{1}{2} [cos(3x-2x)-cos(3x+2x)][/tex]
[tex]sin(3x)sin(2x)=\frac{1}{2} [cos(x)-cos(5x)][/tex]
Moving on to the second problem:
[tex]cos(a)sin(b)=\frac{1}{2}[ sin(a+b)-sin(a-b)][/tex]
Therefore:
[tex]2cos(a)sin(b)=sin(a+b)-sin(a-b)[/tex]
Where:
[tex]a+b=5x[/tex]
[tex]a-b=3x[/tex]
Solve for 'a' using the second equation to get:
[tex]a=3x+b[/tex]
Plug this into the first equation to get:
[tex]3x+b+b=5x[/tex]
[tex]3x+2b=5x[/tex]
[tex]2b=2x[/tex]
[tex]b=x[/tex]
Therefore:
[tex]a+x=5x[/tex]
[tex]a=4x[/tex]
Finally:
[tex]sin(a+b)-sin(a-b)=2cos(4x)sin(x)[/tex]
write an algebraic expression
Answer:
find the value of 'c' sach that the point (1.5) 2,-3) and(C,7) are colliner?
How much will you lose
Answer:
i don't know how much will l loose
Mr. Ortega bought his home for $242,800. It is
predicted to appreciate in value by 4.5% each
year. Which is the best prediction for the value
of Mr. Ortega's home in 15 years?
A. $406,690
B. $469,887
C. $1,092,600
D. $1,638,900
Answer:
$469887
Step-by-step explanation:
you should use compound interest formula which is
A=P(1+r/100) ^t
A = 242800 ( 1 + 0.045 ) ^ 15
when you punch this into a calculator you will get 469886.5771.....
when you round it off to a whole number the answer is $469887
solve the pattern to y=-3(x+2)²+4.
Answer:
-8x
Step-by-step explanation:
[tex]-3(x+2)^{2}+4\\-3(2x)^{2}+4\\-12+4\\\ y=-8x[/tex]
Standing at a trailhead, you look up at a 54° angle and see your friend's cell phone reflecting the sun. You know that she is at the top of the 1200-foot cliff and you call her to say you'll meet her at the bottom of the cliff. How many feet will you have to walk to meet? Round to the nearest tenth.
Answer:
871.9 feet,
Step-by-step explanation:
tan 54 = 1200/ x where x is the distance you have to walk.
x = 1200 / tan54
= 871.85
I need help I'm stuck ?
[tex]v = \frac{4}{3} \times \pi \times ({ \frac{8}{2} })^{3} \\ [/tex]
[tex]v = \frac{4}{3} \times 3 \times {4}^{3} \\ [/tex]
[tex]v = {4}^{4} [/tex]
[tex]v = {2}^{8} [/tex]
[tex]v = 256 \: \: {cm}^{3} [/tex]
15. Starting at the age of 40, an average man loms 5% of his hair every year. At
what aye should an average man expect to have hall his hair left?
Answer:
I think 50 yrs old
Step-by-step explanation:
I'm not good at percentages, but if you have 100% hair, and lose 5% every year, 5x10= 50 which can be written as 50%, meaning half of 100%
PLEASE HELP
Circle each correct surface area. Draw and label the net for each figure if needed. The first one is done for you.
Richard worked 14 hours this week. He also got a bonus of $50. If he made a total of 232, how much does he get paid per hour.
(4x - 3)
Find the value of 'x'.
(2x + 9)
A. 53
B. 14
C. 16
D. 37
Answer:
please the question is not clear
-8 (-3.3) Multiply (-3.3) how many times? Move from 0 to where? Product:
8 times
I hope this helps you
:)
What are the answers for these questions
Answer:
4 = 151.70
5a=75.85
Step-by-step explanation:
Yo I need to bring up my math grade bad so
y>1/3x
(please show it graphed already :D)
Answer:
Graph Passing through origin with Gradient ⅓
Step-by-step Solution:
1. Aquire x and y Intercepts by substituting 0 to corresponding value.
When x=0,
[tex]y = \frac{1}{3} (0) \\ y = 0[/tex]
When y=0,
[tex]0 = \frac{1}{3} x \\ x = 0[/tex]
i.e. passing through Origin
do the same for any other 2 points and connect the dots/coordinates and extend the line
Amy glues 6 stickers on the sides of a cube: She shows the cube to her friend (see picture). Which sticker is on the face opposite to the mouse?
Answer:
When I grow up I want to be
Which set represents the same relation as the table below?
x
f(x)
0
5
4
2
6
9
9
10
Answer:
its A
Step-by-step explanation:
ur welcome
Find the length of the midline KH in Trapezoid SQUAD.
[tex] \sf\red{the \: length \: of \: the \: middle \: kh \: is \: \frac{a \: + \: b}{2} units}[/tex]
use the midpoint formula to find the coordinates of points K and H[tex]\begin{gathered}{\boxed{\begin{array}{cccc} \sf{For \: point \: K} & \\ & \sf \\ \sf{Q( 0, 0 )\: U( c, d )}\\ \tiny \times = \times \frac{ \times 1 \: + y \: 2}{2} \: \: y = \frac{y \: 1 + y \: 2}{2} \\ \tiny{ \times = \frac{0 \: + \: c}{2} \: y = \frac{0 \: + \: d}{2} } \\ \tiny{ \times = \frac{c}{2} \: \: \: y = \frac{d}{2} } \\ \tiny \red{the \: coordinates \: of \: point \: K \: are \: ( \frac{c}{2} . \frac{d}{2} )} \end{array}}}\end{gathered} [/tex]
[tex]\begin{gathered}{\boxed{\begin{array}{cccc} \sf{For \: point \: H} \\ \\ \tiny{b),d] D(a,0)} \\ \tiny \times = \frac{ \times 1 \times 2}{2} \: \: y = \frac{y \: 1 + y \: 2}{2} & \\ \tiny{ \times = \frac{a + (c + b)}{2} \: \: y = \frac{0 + d}{2} } &\\ \tiny{ \times = \frac{a + b + c}{2} \: \: \: y = \frac{d}{2} } \\ \tiny\red{ The\: coordinates\: of\: point \:H\: are ( \frac{a + b + c}{2} , \frac{d}{2} ) }\end{array}}}\end{gathered} [/tex]
b. use the distance for mula to find the length of KH[tex] \sf \: k( \frac{c}{2} . \frac{d}{2} ) \: \: \: h( \frac{a + b + c}{2} . \frac{d}{2} )[/tex]
[tex] \sf \: d = \sqrt{(x2 - \times 1) {}^{2} + (y2 - y1) {}^{2} } [/tex]
[tex] \sf \: kh = \sqrt{ \frac{[a \: + \: b \: + \: c}{2} - \frac{c}{2} {}^{2} + ( \frac{d}{2} - \frac{d}{2}) ^{2} } [/tex]
[tex] \sf \: kh = \sqrt{ (\frac{a + b}{2}) {}^{2} + (0) {}^{2} } [/tex]
[tex] \sf \: kh = \sqrt{( \frac{a + b}{2}) {}^{2} } [/tex]
[tex] \sf \: kh = \frac{a + b}{2} [/tex]
Final Answer[tex] \sf\red{the \: length \: of \: the \: middle \: kh \: is \: \frac{a \: + \: b}{2} units}[/tex]
Item
Small pizza (plain) $8.99
Large pizza (plain) $13.99
Each topping $0.75
Anna ordered a large pizza
with 2 toppings. What was the total cost of her pizza Show your equation and the total cost
Part B
Anna gave the clerk two 10- dollar bill. She received $4.51 in change. Anna said the clerk was incorrect and should have given her 14.51. Who is correct Explain your answer and include an equation or example using money to support your answer.
Answer:
$15.49
Step-by-step explanation:
0.75 x 2 = 1.5
1.50 + 13.99 = 15.49
The clerk is correct; Anna only gave 20 dollars (10x2). 20 - 15.49 = 4.51, which then would be the correct change.
x over 6 space equals space 10 over 12 ; x
Let's break this problem down in a few steps
x over 6 ⇒ x divided by 6 ⇒ [tex]\frac{x}{6}[/tex]10 over 12 ⇒ 10 divided by 12 = [tex]\frac{10}{12}=\frac{2*5}{2*6} =\frac{5}{6}[/tex]Since these two fractions are equal to each other, let's solve for x
[tex]\frac{x}{6}=\frac{5}{6} \\6x=30\\x = 5[/tex]
Thus x = 5
Hope that helps!
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Step 1: Convert to an expression
x over 6 equals 10 over 12
[tex]\frac{x}{6}=\frac{10}{12}[/tex]
Step 2: Cross multiply
[tex](x * 12) = (6 * 10)[/tex]
[tex]12x = 60[/tex]
Step 3: Divide both sides by 12
[tex]\frac{12x}{12} = \frac{60}{12}[/tex]
[tex]x = 5[/tex]
Answer: [tex]x = 5[/tex]
someone help me please
Answer:
b
Step-by-step explanation:
the x has been cubed meaning
X * X *X = x^3
X^3 has been added to 5
C is saying they multiplied three to x therefore being
B
Olga just got a new job, and she is looking to lease a car. Dealer A offers her a $2400 trade-in on her old car, with lease payments of $360 a month. Dealer B offers a trade-in of $2000 with payments of $320 a month. Olga wants to lease the car for only 6 months. Which deal is better for her?
Answer:
$2000 with payments of $320 a month
Step-by-step explanation:
360 x 6 = 2160
2160 + 2400 = 4560
320 x 6 = 1920
1920 + 2000 = 3920
Answer:
dealer A
Step-by-step explanation:
A: 360×6=2160
2400-2160=240
they save $240
B: 320×6=1920
2000-1920=80
they save $80
4. A jeep can travel 356 miles in 6 hours, and a truck can travel 221 miles in 3.5 hours. What is the unit rate of the faster vehicle? Round your answer to the nearest hundredth.
Answer:
63.14
Step-by-step explanation:
in order to get unit rate you take the distance 221miles divide by time which is 3.5 hr you get 63.14 after you have rounded .when you take 356miles divide by 6hrs you get 56.33 so the vehicle is the truck i think so
sorry to say this but kinda not that sure apologies if am wrong
the difference of 20 and x
Answer:
20-x
Step-by-step explanation:
you need the value of x to answer
What is the experimental probability of rolling a number less than 4?
A: 1/2
B: 16/33
C: 1/22 D: 17/33
what is the answer?
HELP
Answer:
A. 1/2
Step-by-step explanation:
For the question, it says what is the experimental probability of rolling a number less than 4, meaning it is asking for the experimental probability of rolling a 1, 2, or 3. Assuming this is a fair 6-sided dice, the probability of rolling any number is 1/6. The probability of rolling a 1, 2, or 3 is also 1/6. Adding all those the probabilities of 1, 2, and 3 together gets 3/6, which simplifies to 1/2.
Therefore, the experimental probability of rolling a number less than 4 is 1/2.
PLEASE HELPPPP WILL MARK BRAINLIEST
Answer:
2×5÷4=2.5
Step-by-step explanation:
2 boxes × 5 cards ÷ white cards
Please help!! What is the area to this figure??
Answer:
318
Step-by-step explanation:
find area of the big triangle then split the remaining shape into a large rectangle and a smaller rectangle
Answer:
318 mi²
Step-by-step explanation:
Formulae
Area of a rectangle = width x length
Area of a triangle = 1/2 x base x height
Divide the figure into 1 triangle and 2 rectangles (see attachment).
Area of Triangle 1 = 1/2 x (10 + 6 + (11 - 8)) x 22
= 1/2 x 19 x 22
= 209 mi²
Area of Rectangle 2 = 5 x (11 + 6)
= 85 mi²
Area of Rectangle 3 = 4 x 6
= 24 mi²
Total area = 209 + 85 + 24 = 318 mi²