The equation in standard form of the line is given by:
[tex]\frac{8}{3}x + y = 15[/tex]
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the line is parallel to 8x + 3y =15, hence the slope is given by:
[tex]m = -\frac{8}{3}[/tex]
It passes through the point (6, -1), hence:
y = mx + b
[tex]-1 = -\frac{8}{3} \times 6 + b[/tex]
b = 15
Hence:
[tex]y = -\frac{8}{3}x + 15[/tex]
In standard form:
[tex]\frac{8}{3}x + y = 15[/tex]
More can be learned about linear equations at https://brainly.com/question/24808124
Write the equation for each translation of the graph of y=|x+2|. a) one unit up b) one unit down c) one unit to the left d) one unit to the right
[tex]y = |x + 2| [/tex]
____________________________________________
a ) one unit upAs you know all kind of vertical transfers are along the y-axis thus :
[tex]y = |x + 2| + 1[/tex]
____________________________________________
b ) one unit down[tex]y = | x + 2| - 1[/tex]
_____________________________________________
c ) one unit to the leftWorking with the operation along the x-axis are all opposite so when the question say transfer the graph on unit to left it means to decrease all x values by one unit and we have to do the inverse work with mean to increase all the x values by one unit :
[tex]y = |(x +1 ) + 2| [/tex]
[tex]y = |x + 3| [/tex]
_____________________________________________
d ) one unit to the right[tex]y = |(x - 1) + 2| [/tex]
[tex]y = |x + 1| [/tex]
And we're done...
Take care ♡♡♡♡♡I need help guys I got like 1 hour left.
Answer:
Domain: x <= 4
Step-by-step explanation:
The domain is all the x's on the graph or all the x's that can be used in the equation. see image for graph. The graph exists coming from negative infinity (the left side of the graph) and then stops at the point where x is 4. So x must be less than 4 or equal to 4.
Algebraically, if x is bigger than 4, you get a negative number inside the radical (the square root symbol) and that is not allowed. Again we find that x has to be less than or equal to 4.
someone I need help with this thank you !!
Answer:
Question 4) 90 in^3
Question 5) D
Step-by-step explanation:
For question 4 I divided 270 by 1/3 and I got 90 inches^3
For question 5 I mulitplied 1 times 9 times 10 and got 90 inches ^3
10. A cylindrical can has a base with a diameter of 6 cm. Its height measures 5 cm. What is the total surface area of the can?
plss help me
Answer:
Total surface area of cylinderal can is 150.8 cm²Step-by-step explanation:
Given that a cylinderal can has base with a diameter of 6 cm and its height measures 5 cm.
So,
Radius = Diameter/2 = 6/2 = 3 cm
We know that,
TSA of cylinder = 2πr(h + r)Substituting required values:
➝ TSA = 2 × 22/7 × 3(5 + 3)
➝ TSA = 44/ 7 × 3 × 8
➝ TSA = 1056/7
➝ TSA = 150.8 cm²
Hence,
Total surface area of cylinderal can is 150.8 cm²Answer:
Total surface area of cylindrical can :- 150.72 cm²
Step-by-step explanation:
Given:-
Base of cylindrical can with diameter :- 6 cm , so radius :- 3 cmheight of cylinder :- 5 cmTo find :-
Total surface area of cylindrical canSolution :-
Formula for Total surface area of cylinder :-
2πr(r + h)
putting the known values ,
= 2 × 3.14 × 3 ( 3+5) cm²
= 18.84 × 8 cm²
= 150.72 cm²
f is inversely proportional to p. f = 8 when p = 9 a) Use the information above to write an equation for f in terms of p. b) What is the value of f when p 5? Give any decimal answers to 1 d.p.
Answer:
a. f = 72/p
b. 14.4
Step-by-step explanation:
a. bringing in constant k,
f = k/p
cross multiplying
k = fp
k = 8×9
k = 72
the formula for f;
f = 72/p
b. Using the formula for f
f = 72/p
f = 72/5
f = 14.4
The concert center sold 11,900 tickets this year, which was 40% more than last year. How many tickets
were sold last year?
Answer:
7140
Step-by-step explanation:
Hey there!
This is the correct answer because First, you need to calculate what is 40% of 11900 which is 4760, and then subtract it from 11900.
Finally you would end up with 7140
What's the answer for this!
The options for each paragraph are listed below:
First paragraph50100001000Second paragraph0maximum18.498.6017.2How to fill the blanks in paragraphs on applications of second order polynomialsIn this question we are supposed to understand and apply concepts related to second order polynomials to fill the blanks when required in the following two paragraphs.
First paragraph talks about second order polynomials applied to economics and the second paragraph talks about second order polynomials applied to kinematics.
First paragraphThe roots of the quadratic function describing the relationship between number of products produced and overall profit margin are x = 0 and x = 100. The vertex is (50, 1000).
The maximum profit of $ 50 is reached when 1000 items are produced.
The first root tells us that the profit will be 0 when 0 products are produced. The second root says once 1000 items are made, the company is no longer making any profit. (They do not have production capacity and have to outsource for anything over 50)
Second paragraphThe trajectory of a golf ball in a chip from the rough has a parabolic pattern. The height, in feet, of the ball is given by the equation h(x) = -0.25 · x² + 4.3 · x, where x is the number of feet away from the golf club (along the ground) the ball is.
The ball starts 0 feet above the ground.
The ball reaches a maximum height of 18.49 feet at a horizontal distance of 8.60 feet away from the golf club its was hit with.
The ball returns to the ground at about 17.2 feet away.
To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/11536910
If three numbers 36,54 and another number have a G.C.D of 6 and L.C.M of 216, find the other number
Answer:
24
Step-by-step explanation:
The GCD of a set of numbers is the product of the prime factors, each to the lowest of the powers it has as a factor of any of the numbers.
The LCM of a set of numbers is the product of the prime factors, each to the highest of the powers it has as a factor of any of the numbers.
__
The factorizations of the given numbers are ...
36 = 2^2 × 3^2
54 = 2 × 3^3
__
6 = 2 × 3 . . . . . . . . . . . GCD
216 = 2^3 × 3^3 . . . . . LCM
This tells us the lowest powers of 2 and 3 are 2^1 and 3^1, and the highest powers of 2 and 3 are 2^3 and 3^3. Already, the lowest power of 2 matches the GCD, and the highest power of 3 matches the LCM. What we need is a number with a power of 2 that is 3, and a power of 3 that is 1:
2^3 × 3^1 = 24
The other number is 24.
Is the inequality below true or false, if m
m+9
True
False
It is a solid shape that contains lateral surface and two circular bases which are parallel and congruent.
A. cube
B. cylinder
C. sphere
D. cone
Answer:
B (cylinder)
Step-by-step explanation:
Two circular bases which are parallel and congruent :
This basically means that the shape contains a circular base (supposedly the bottom), but since it has two bases, its on the top and the bottom. Because it's congruent, the bases are both equal in shape and size. It is also parallel as well, in which the bases have the same distance between them.
The cube doesn't have any circular bases.
The sphere doesn't have any faces, nor edges.
A cone has a circular base, but it doesn't have two.
A cylinder has two circular bases, as well as they are parallel and congruent.
So, your answer is B (cylinder).
Hope this helped !
Higher interest rate mortgage loans made to people with poor credit
scores.
O teaser rate
O subprime mortgage
O points
O adjustable rate mortgage
I don't know what you have to do but I'm trying to do my first answer srry
Answer:
I would say the last one..................
F(x)=3x-4; g(x)=2x+2; find g(f(x))
Answer:
6(x) - 6
Explanation:
g(x) = 2(x) + 2
f(x) = 3(x) - 4
go from right to left in such function questions.
g(f(x)):g(3(x) - 4)2(3(x) - 4) + 26(x) - 8 + 26(x) - 6Answer:
g = g(3x−4)=6x−6
Step-by-step explanation:
A rocket carrying fireworks is launched from a hill 80 feet above a lake. The rocket will fall into the lake after exploding at its maximum height. The rocket's height above the surface of the lake is given by h=-16t^2+64t+80.
1. what is the maximum height reached by the rocket?
2. how long will it take for the rocket to hit 128 ft?
Answer:
1. 144
2. 1
Step-by-step explanation:
What is 1978 times 45
Answer:
89010
Step-by-step explanation:
1978 times 45 will equal 89010 its very simple step wise.
Answer:
89010
Step-by-step explanation:
5. Consider the system of equation:
x+4y=13
3x +2y =19
(a) Multiply both sides of the second equation (b) Add the equation from (a) to the first
hu -2. What equation results?
equation. What happens? What can you
now solve for?
(d) What could you have multiplied both sides of
the first equation by to eliminate the x
instead of the y?
Answer:
A
Step-by-step explanation:
What must be added to the polynomial x2 - 4x + x + 2 make it x2-x+4?
Answer:
2x + 2
Step-by-step explanation:
x^2 -4x +x +2 =
x^2 -3x +2 now add 2x + 2
Open-Ended Write an equation for the line in slope-intercept form. Use pencil and paper. Which part of writing the equation is the most difficult? The easiest?
Explain.
Answer:
y=3x-2, The most difficult part is finding the m or slope. The easiest part is identifying the y-intercept
Step-by-step explanation:
Use the slope formula
Find the missing angle.
Answer:
36 degrees
Step-by-step explanation:
well it tells you both of the other angles, and a triangles angles always equal to 180 degrees, so its a simple as 111+33=144 and 180-144=36, so 36 degrees, is your missing angle.
If C is the midpoint of segment AT and AC=4x - 7 , how long is AT when CT=2x+5?
Answer: 34
Step-by-step explanation:
since the line is cut in half the sides equal
therefore
4x-7 = 2x+5
solve for x
4x = 2x + 12
2x = 12
x = 6
plug into either equation as they are both the same
4(6) - 7 = 17
if one half is 17 then the other half is 17
add the halves for the full line segment AT
AT = 17 + 17 = 34
WILL GIVE BRAINLIEST!! Find the component form of the vector v with magnitude 6 and direction angle 235º
a.<4.91, -3.44>
b.<0.10, -0.14>
c.<-3.44,-4.91>
d.<-4.89, 3.48>
Answer:
d
Step-by-step explanation:
components of a vector is given as
X=vcos■ y= vsin■
substitute the substitute the vector into v and the angle into ■
hence x=-4.89
and y= 3.48
Match the value to the correct image. Not all values will be used.
Find the approximate surface area of each right regular prism.
The approximate surface areas of corresponding prisms are listed below:
A = 108 units²A = 229 units²A = 454 units²How to match given surface areas with given figuresThe surface area of the each figure ([tex]A[/tex]), in square units, is equal to the sum of the surface area of the two bases ([tex]A_{b}[/tex]), in square units, and the surface areas of the lateral sides ([tex]A_{l}[/tex]), in square units. Since bases are regular polygons, base surface area can be determined by this expression:
[tex]A_{b} = \frac{l^{2}\cdot n }{4\cdot \tan \frac{180}{n} }[/tex] (1)
Where:
l - Side length, in unitsn - Number of sidesThe area of one lateral side is expressed by this expression:
[tex]A_{l} =h\cdot l[/tex] (2)
Where h is the height of the rectangle, in units.
The total surface area is defined by the following formula:
[tex]A = 2\cdot A_{b} + n\cdot A_{l}[/tex] (3)
Now we proceed to calculate each surface area:
Case I ([tex]l = 2[/tex], [tex]n = 6[/tex], [tex]h = 9[/tex])[tex]A = 2\cdot \left[\frac{2^{2}\cdot (6)}{4\cdot \tan \left(\frac{180}{6} \right)} \right]+6\cdot (2)\cdot (9)[/tex]
A = 108.136 units²
Case II ([tex]l = 4\sqrt{3}[/tex], [tex]n = 3[/tex], [tex]h = 9[/tex])[tex]A = 2\cdot \left[\frac{(4\sqrt{3})^{2}\cdot (3)}{4\cdot \tan \left(\frac{180}{3} \right)} \right]+3\cdot (4\sqrt{3})\cdot (9)[/tex]
A = 228.631 units²
Case III ([tex]l = 6[/tex], [tex]n = 5[/tex], [tex]h = 11[/tex])[tex]A = 2\cdot \left[\frac{6^{2}\cdot (5)}{4\cdot \tan \left(\frac{180}{5} \right)} \right]+5\cdot (6)\cdot (11)[/tex]
A = 453.874 units²
The approximate surface areas of corresponding prisms are listed below:
A = 108 units²A = 229 units²A = 454 units²To learn more on surface areas, we kindly invite to check this verified question: https://brainly.com/question/2835293
Answer:
Look at the picture
- 1 10. If it takes four moving trucks to move 48
boxes, how many trucks are needed to
move 840 boxes?
Answer:
210
Step-by-step explanation:
48/4=12
840/48=17.5
12*17.5=210
210*4=840
PLEASE HELP NOW!! NO LINKS PLEASE!
The wholesale price for a bookcase is $189. a certain furniture store marks up the wholesale price by 19%. find the price of the bookcase in the furniture store. round your answer to the nearest cent, as necessary.
Answer:
it is 35.91, 36 to the nearest cent
Step-by-step explanation:
I don't know how to explain it to u sorry
what is the slope of the line passing through the points (2,5) and (-1,-4)
Answer:
m=y2-y1/x2-x1
=-4-5/-1-2
=-9/-3
=-3
Levi spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -14.1°F. Between 9am and noon, the temperature rose 17.8°F. Between noon and 3pm, the temperature went down 16.8°F. Between 3pm and 6pm, the temperature dropped 12.3°F. What was the temperature at 6pm?
Answer:
-25.4°F
Step-by-step explanation:
-14.1 + 17.8 = 3.7
3.7 - 16.8 = -13.1
13.1 - 12.3 = -25.4
PLEASE HELP!! WILL MARK BRAINLIEST.
Answer:
(x-8)^2+(y+8)^2=7
Step-by-step explanation:
The equation of a circle is (x-h)^2+(y-k)^2=r^2
Substitute h, k, and r for 8, -8, and √7, respectively.
(x-(8))^2+(y-(-8))^2=(√7)^2
The two negatives in y - (-8) causes it to be a +8. Squaring √7 will make it 7.
Which equation has a vertex at (0, 5) and focus of (three-halves, 5)?
x = three-halves (y minus 5) squared
x = negative three-halves (y minus 5) squared
x = StartFraction 1 Over 6 EndFraction (y minus 5) squared
x = negative StartFraction 1 Over 6 EndFraction (y minus 5) squared
Answer: C
Answer:
C
Step-by-step explanation:
Edge 2021
Answer:
C
Step-by-step explanation:
The difference of x and a number is 6. What is the other number?
Answer:
Answer: The other number is y = x + 6.
Step-by-step explanation:
A weather researcher compared average monthly temperature data for
Athens, Greece, and Madrid,Spain answer quickly please I need this answer now
Considering the mean and range concepts, it is found that the correct option is:
C. On average, Athens have a higher temperature. However, temperatures in Madrid vary more.
What are the mean and the range of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The range is given by the subtraction of the highest value by the lowest.In this problem, Athens has a higher mean, while Madrid has a higher range, hence the correct option is:
C. On average, Athens have a higher temperature. However, temperatures in Madrid vary more.
More can be learned about the mean and range concepts at https://brainly.com/question/15796321
1. Josie lives at the coordinates (8,-4). Ruby lives at (-4, 2). When
Josie rides her bike to Ruby's house, she stops by the ice cream shopthat is 2/3 of the way from her house to Ruby's. What is the location of the shop?
