Answer:
5x+31
Step-by-step explanation:
Answer:
x2+3x+9
Step-by-step explanation:
X squared plus 3x plus 9, just for clarity. I believe this is the right answer, if not let me know in the comments.
The position of an open-water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to the shoreline. Write an equation that represents this path.
Answer:
An equation that represents this path is described below in detail.
Step-by-step explanation:
The equalization that describes the pathway of the swimmer to the shoreline can be described in the slope-intercept pattern, given as.
Where,
Slope (m) = the adverse reciprocal of the incline of the shoreline, considering it is perpendicular to it = ??
y-intercept (b) = ??
Find the incline of the shoreline using, (0, 1) and (4, 4):
.
Considering the incline of the shoreline is ¾. The incline of the pathway of the swimmer would be the adverse reciprocal of ¾.
The adverse reciprocal of ¾ = -⁴/3.
The incline of the swimmer's path = -⁴/3.
Applying the coordinate of the position of the swimmer (6, 1), and the incline of the way, we can find b, the y-intercept of the way.
Substitute x = 6, y = 1 and m = -⁴/3 into y = mx + b, to find b.
Thus:
1 = (-⁴/3)(6) + b
1 = -8 + b
Add 8 to both sides
1 + 8 = b
9 = b
b = 9
Substitute m = -⁴/3 and b = 9 into y = mx + b.
how to write k/3 + 16 in words
Answer:
k divided by three plus sixteen
Write in standard form 8x2−5+7x4−9x−x5
Please explain i don't understand
The standard form of the expression is x⁵+ 7x⁴ + 8x² - 9x - 5.
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
To write the given expression in standard form, we need to arrange the terms in descending order of their exponents (from highest to lowest).
So we start by rearranging the given expression as:
x⁵+ 7x⁴ + 8x² - 9x - 5
Now the terms are ordered from highest to lowest exponent.
Now we need to rewrite the expression by collecting like terms and arranging the coefficients in descending order of exponent.
The standard form of the expression is:
x⁵+ 7x⁴ + 8x² - 9x - 5
Hence, the standard form of the expression is x⁵+ 7x⁴ + 8x² - 9x - 5.
To learn more on Polynomials click:
https://brainly.com/question/11536910
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A smoke jumper jumps from a plane that is 1900 ft above the ground. The function h=-16t+1900 gives the jumper's height h in feet during the free fall at t seconds. a. How long is the jumper in free fall if the parachute opens at 1000 ft? b. How long is the jumper in free fall if the parachute opens at ft? c. What is a reasonable domain and range for the function h? a. The jumper is in free fall for nothing s if the parachute opens at 1000 ft
Answer:
a) The jumper opens the parachute in 7.5 seconds.
b) The jumper opens the parachute in approximately 7.706 seconds.
c) There are two possible choices for the function:
Case a): [tex]Dom\{h(t)\} = [0\,s,7.5\,s][/tex], [tex]Ran\{h(t)\}=[1000\,ft,1900\,ft][/tex]
Case b): [tex]Dom\{h(t)\} = [0\,s,7.706\,s][/tex], [tex]Ran\{h(t)\}=[950\,ft,1900\,ft][/tex]
Step-by-step explanation:
Note: The equation presented in statement is incorrect. The correct formula for free fall is:
[tex]h(t)=-16\cdot t^{2}+1900[/tex] (1)
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]h[/tex] - Height above the ground, measured in feet.
a) If we know that [tex]h(t) = 1000\,ft[/tex], then the final instant of the free fall stage is:
[tex]-16\cdot t^{2}+1900 = 1000[/tex]
[tex]16\cdot t^{2} = 900[/tex]
[tex]t = 7.5\,s[/tex]
The jumper opens the parachute in 7.5 seconds.
b) How long is the jumper in free fall if the parachute opens at 950 ft?
If we know that [tex]h(t) = 950\,ft[/tex], then the final instant of the free fall stage is:
[tex]-16\cdot t^{2}+1900 = 950[/tex]
[tex]16\cdot t^{2} = 950[/tex]
[tex]t \approx 7.706\,s[/tex]
The jumper opens the parachute in approximately 7.706 seconds.
c) There are two possible choices for the function:
Case a): [tex]Dom\{h(t)\} = [0\,s,7.5\,s][/tex], [tex]Ran\{h(t)\}=[1000\,ft,1900\,ft][/tex]
Case b): [tex]Dom\{h(t)\} = [0\,s,7.706\,s][/tex], [tex]Ran\{h(t)\}=[950\,ft,1900\,ft][/tex]
Choose a system and make a case for why you would
or would not choose to solve that system by substitution
Answer:
The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other.
Step-by-step explanation:
9 is 150% of what number
Answer:
13.5
Step-by-step explanation:
150% × 9 =
(150 ÷ 100) × 9 =
(150 × 9) ÷ 100 =
1,350 ÷ 100 =
13.5
My proof :
If 150% × 9 = 13.5 =>
Divide 13.5 by 9... ... And see if we get as a result: 150%.
Find the slope and the y-intercept of the graph of the linear equation.
- 2x + y = 4
Answer:
y=2x+4
Step-by-step explanation:
The event coordinator asks you to determine how many students participated in the track-and-field day. The total number of students in seventh and eighth grade combined is 584; 58 of them are seventh graders and 38 of them are eighth graders. If 45 of the seventh graders participated in track-and-field day and 78 of the eighth graders participated, about how many total students participated? Describe the process you used to find your answer.
Answer:
484 students
Step-by-step explanation:
The event coordinator asks you to determine how many students participated in the track-and-field day. The total number of students in seventh and eighth grade combined is 584; 5/8 of them are seventh graders and 3/8 of them are eighth graders. If 4/5 of the seventh graders participated in track-and-field day and 7/8 of the eighth graders participated, about how many total students participated? Describe the process you used to find your answer.
Solution:
The total number of students = 584
Number of seventh grade students = 5/8 * total number of students = 5/8 * 584 = 365 students
Number of eighth grade students = 3/8 * total number of students = 3/8 * 584 = 219 students
Number of the seventh graders that participated in track-and-field day = 4/5 * 365 = 292 students
Number of the eighth graders that participated in track-and-field day = 7/8 * 219 = 191.625 students ≈ 192 students
Total students that participated = 292 + 192 = 484 students
Answer:
Answer:
484 students
Step-by-step explanation:
The total number of students = 584
Number of seventh grade students = 5/8 * total number of students = 5/8 * 584 = 365 students
Number of eighth grade students = 3/8 * total number of students = 3/8 * 584 = 219 students
Number of the seventh graders that participated in track-and-field day = 4/5 * 365 = 292 students
Number of the eighth graders that participated in track-and-field day = 7/8 * 219 = 191.625 students ≈ 192 students
Total students that participated = 292 + 192 = 484 studentsStep-by-step explanation:
I know i am in the future
8x=24
Solve the equation for x
Answer:
x=3
Step-by-step explanation:
Divide both sides by 8.
Answer:
3
Step-by-step explanation:
8x3=24..............
i need this fast guys. help a comrade out this is due tmm
Answer:
150,250
Step-by-step explanation:
Hope this helps!
Please answer fast
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Norma is a salon owner. Yesterday, she did 1 haircut and colored the hair of 2 clients, charging a total of $217. Today, she did 2 haircuts and colored the hair of 1 client, charging a total of $155. How much does Norma charge for her services?
Answer:
A haircut costs $31
Coloring hair costs $93
Step-by-step explanation:
h = haircut
c = color
First equation: 1h + 2c = 217
Second equation: 2h + 1c = 155
Solve using elimination:
First, multiply both the equations so that they cancel the h's out:
First equation:
-1(2h + 1c = 155)
-2h - 1c = -155
Second equation:
2(1h + 2c = 217)
2h + 4c = 434
Then, put the equations together, and solve:
2h + 4c = 434
-2h - 1c = -155
3c = 279
c = 93
Find h:
2h + 1c = 155
2h + 1(93) = 155
2h + 93 = 155
2h = 62
h = 31
Hope this helped!
The principal would like to assemble a committee of 7 students from the the 11 member student council. How many different committees can be chosen?
Answer:
The principal would like to assemble a committee
of 8 students from the 15-member student council.
How many different committees can be chosen?
1) 120 2) 6,435 3)
Step-by-step explanation:
The principal would like to assemble a committee
of 8 students from the 15-member student council.
How many different committees can be chosen?
1) 120 2) 6,435 3)
Answer:
Step-by-step explanation:
Remark
This problem only wants to know how many ways to select 7 starting from a base of 11.
Nothing else matters. Not grades, not gender, not age, not qualifications, not order -- nothing. Just 7 out of 11.
That problem is a combination and is written as
(11)/(7)
The formula used is
11! / (7! (11 - 7)! )
11! /( 7! 4!) = 11 * 10 * 9 * 8 * 7! / (7! * 4!) The 7! s cancel out
11 * 10 * 9 * 8 / 4 * 3 * 2 * 1 = 330
Can you show steps on how to do 2 – 8x = -22 ? Thank you!
Answer:
x squared = 8x
Step-by-step explanation:
Move
8
x
to the left side of the equation by subtracting it from both sides.
x
2
−
8
x
=
0
Factor
x
out of
x
2
−
8
x
.
Tap for more steps...
x
(
x
−
8
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
x
=
0
x
−
8
=
0
Set the first factor equal to
0
.
x
=
0
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
8
The final solution is all the values that make
x
(
x
−
8
)
=
0
true.
x
=
0
,
8
someone help me please. Suppose you are preparing a snack mix. You want the total protein from peanuts and granola to equal 28 grams. peanuts have 7grams of protein per ounce, and granola has 3 grams of protein content of your mix.
(a)write an equation for the protein content of your mix.
(b) graph your equation. use your graph to find how many ounces of granola you should use if you use 1 ounce of peanuts.
Answer:
I'm so sorry all i can do is encourage you.
Step-by-step explanation:
I hope you get the right answer and have a nice day!
I WILL GIVE BRAINLY!!!!!!!!!
Samuel earns $5 per hour plus 65% commission on all his sales. If y represents
his sales for one day, which expression represents Samuel’s total earnings for a
day when he worked 6 hours?
A. 5(6) + 65y
B. 5(65) + 6y
C. 5(6) + 0.65y
D. 5(6) + 1.65y
PLSSSS SHOW YOUR WORK PLSSSS
Answer: C. 5(6) + 0.65y
Step-by-step explanation:
Process of elimination.
65% of y = 0.65y
A has 65y, completely incorrect.
B has 6y, also completely incorrect.
C has 0.65y, correct.
D has 1.65y, also completely incorrect.
solve x3 = 8. A. x = 2.8. B. x = 2. C. x = 4. D. x = 8/3
Answer:
Option B x=2
Step-by-step explanation:
Assuming that the problem is X^3=8 you can find the cubed root of 8 which is 2
Write the equation
(0,5)
(2.0)
Durant and Westbrook are playing a three-point challenge game to improve long distance shooting. Each time each of them makes a basket, 3 points are added to their respective scores. Durant has 18 points and Westbrook has 12 points. Which of the following options has the pair of explicit formulas that represents the number of points for each player as an arithmetic sequence?
A: Durant: 18 +(n-1)(3)
B: Durant: 18-(n-1)(3)
C: Durant 18+(n-3)
D: Durant 18+3n
please tell me how you got it thanks <3
i think its C
:) :) :) :) :) :) :)
Shayla is going to paint a wall. The wall is 23 feet long by 8 feet high. A gallon of paint costs $11 and covers 320 square feet of area.
If the wall requires two coats of paint, what is the minimum cost of painting Shayla's wall?
PLs answer and epxlain how you got it
Answer: $22
Step-by-step explanation:
The wall is 23 ft by 8 ft, so if you multiply both sides of the rectangle together, you get the area.
23 * 8 = 184 ft^2
Since the wall requires 2 coats of paint, that means you'll just need to double the area you need to cover (since you're covering it twice).
184 * 2 = 368 ft^2
Now that we know how much square feet of area we need to cover, we can try and figure out how many gallons of paint we need to cover said area.
One gallon of paint covers 320 ft^2, so we can divide the area we need to cover (368) by the area a single gallon can cover (320) to get the amount of gallons we need to cover the wall.
368 / 320 = 1.15 gallons
To cover the wall twice, we need 1.15 gallons of paint. Assuming we can't buy 0.15 of a gallon, we will just need to buy two full gallons. Each gallon is $11, so two gallons each costing $11 is:
2 * 11 = $22
Side note: IF you can buy 0.15 of a gallon, then just multiply 1.15 * 11 = $12.65
Write an equation in slope-intercept form of the line passing through a given point and having the given slope m=-3 through (1,9)
Answer:
y=-3x+12
Step-by-step explanation:
9=-3(1)+b
9=-3+b
9+3=3-3+b
12=b
Put these numbers smallest to largest 2.6,6.2,2.06,0.26.0.62
Answer:
0.26, 0.62, 2.06, 2.6, 6.2
what is the slope of (4,3) and (1,-1) the line is positive
The slope would be 1.33
Mazie bought a bike during a 20% off sale and saved $16. What was the original price?
Answer:
$80. Which means she spent $64 with the sale, but the original price is $80.
Step-by-step explanation:
16 is 20% of 80
Answer
The answer is $120.00
Options
What was the price of the bicycle when Mazie bought it?
$140.00
$149.80
$130.00
$120.00
Explanation
Multiply the price of the bike by the discount percentage
150 * 0.20 = 30
Subtract the number you just found from the original price
150 - 30 = 120
There is your answer
You could take a shortcut by doing the following
1 - 0.20 = 0.80
Then multiply the original value by the new percentage
150 * 0.80 = 120
Personally I like the first method because it makes more sense.
2x-y=-2 what is the answer for y?
Answer:
x2+2=Y
Step-by-step explanation:
Rewrite the expression by factoring out (w-5)
Answer:
(w - 5)(2w² + 7)
Step-by-step explanation:
Given
2w²(w - 5) + 7(w - 5) ← factor out (w - 5) from each term
= (w - 5)(2w² + 7)
X^2-x-12, please show your work so I can know how to do it. Thank you:))
I’ll mark you brainlist I’ll mark you brainlist write in y=mx+b form
Answer:
y=-4x+2
hope this helped
Another name for Rotation is slide.
True
False
False:
A rotation is the action of rotating around an axis or center.
A slide means to move along a smooth surface while maintaining continuous contact with it.
please help me!!!!!!!!!
Answer:
what is it asking like what is the step to do that i think i did that like back in 6th grade or something
Answer:
input output
0 -2
1 3
4 18
6 33
10 48
20 98
Step-by-step explanation:
Which of these expresses the distributive property?
a) (a + b) + c = a +( b + c)
c) a(bc) = (ab)c
d) a( b + c) = ab + ac
9514 1404 393
Answer:
d) a(b + c) = ab + ac
Step-by-step explanation:
The distributive property explains how multiplication distributes over addition. It can be expressed by the equation ...
a(b + c) = ab + ac