Answer:
(c)
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0
Then the product of the roots = [tex]\frac{c}{a}[/tex]
(k - 2)x² - 6x + 12 = 0 ← is in standard form
with a = k - 2 and c = 12 , thus
[tex]\frac{12}{k-2}[/tex] = 3 ( multiply both sides by (k - 1) )
12 = 3(k - 2) = 3k - 6 ( add 6 to both sides )
18 = 3k ( divide both sides by 3 )
6 = k → (c)
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.
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
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.
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]
Mec mec is angry because she has to pay 10% tax in NY. She is ready to give the clerk the biz-ack hand, but instead pays it on a $70 item. How much tax did she pay?
Answer:
7$
Step-by-step explanation:
i took the test
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:
I'LL MARK BRAINLEST JUST PLS HELP ME
Answer:
B
Step-by-step explanation:
Answer:
30.96 mm²
Step-by-step explanation:
area of square: side×side
12×12= 144 mm²
area of circle: πr²
π×6²= 113.01 mm²
area of shaded region: 144-113.01 = 30.96 mm²
hope it helps!!!
Please help I’m stuck
Answer:
23
hope it helps u :)
Step-by-step explanation:
2x+13
x=5
=2×5+13
=10+13
=23
Answer:
23
Step-by-step explanation:
When I was first introduced to algebra, One thing that had me stumped for the longest time is terms like "2x". This is because nobody explained to me that saying "2x" and similar terms implies a multiplication. so "2x" actually means "2 × x". I only mention this because I thought maybe it would help.
To solve it then, all we need to do then is think of "x" as meaning five, and it being multiplied by 2
We're given this:
[tex]2x + 13[/tex]
which you can also read as this:
[tex]2 \times x + 13[/tex]
We're told x equals five, so we can say:
[tex]2 \times 5 + 13[/tex]
Remember when solving this, that multiplication and division always come before addition and subtraction, so let's do the multiplication:
[tex]10 + 13[/tex]
and then add it up:
[tex]23[/tex]
So the final answer is twenty-three.
20 POINTS IF YOU ANSWER! NEED HELP ASAP
The two kids next to your locker are arguing over who got the better deal on the new cell phone plan billy pay $30 for his new phone and only pays $12.50 each month with free texting Annie got her new phone for free in only pays $20 a month how many months will both billy Annie have paid the same amount for the new cell phone plans you must write and solve an equation
Answer:
They will both have paid the same amount after 4 months
Step-by-step explanation:
Assume that they will pay the same amount after x months
∵ Billy pays $30 for his new phone
∵ He only pays $12.50 each month
→ Find how much he will pay in x month
∴ He will pay → 30 + 12.50x
∵ Annie got her new phone for free
∵ She only pays $20 a month
→ Find how much she will pay in x month
∴ She will pay → 20x
∵ They will pay the same amount
→ Equate their expressions above
∴ 20x = 30 + 12.50x
→ Subtract 12.50x from both sides
∵ 20x - 12.50x = 30 + 12.50x - 12.50x
∴ 7.50x = 30
→ Divide both sides by 7.50
∴ x = 4
∴ They will both have paid the same amount after 4 months
How do I find x in these equations
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
5) Go....
[tex]17 = 4x + 1[/tex]
[tex]4x + 1 = 17[/tex]
Subtract sides 1
[tex]4x + 1 - 1 = 17 - 1[/tex]
[tex]4x = 16[/tex]
Divide sides by 4
[tex] \frac{4x}{4} = \frac{16}{4} \\ [/tex]
[tex]x = 4[/tex]
_________________________________
6) Go...
[tex]2x - 2 = 16[/tex]
Add sides 2
[tex]2x - 2 + 2 = 16 + 2[/tex]
[tex]2x = 18[/tex]
Divide sides by 2
[tex] \frac{2x}{2} = \frac{18}{2} \\ [/tex]
[tex]x = 9[/tex]
_________________________________
7) Go...
[tex]95 = 7x + 18[/tex]
[tex]7x + 18 = 95[/tex]
Subtract sides 18
[tex]7x + 18 - 18 = 95 - 18[/tex]
[tex]7x = 77[/tex]
Divide sides by 7
[tex] \frac{7x}{7} = \frac{77}{7} \\ [/tex]
[tex]x = 11[/tex]
_________________________________
8) Go...
[tex]78 + 9x - 6 = 180[/tex]
[tex]9x + 72 = 180[/tex]
Subtract sides 72
[tex]9x + 72 - 72 = 180 - 72[/tex]
[tex]9x = 108[/tex]
Divide sides by 9
[tex] \frac{9x}{9} = \frac{108}{9} \\ [/tex]
[tex]x = 12[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
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
A shoe store uses a 40% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $71?
Answer:
99.40
Step-by-step explanation:
$71 * .4 = $28.40
$71 + $28.40 = 99.40
Answer:
The selling price would be $99.40
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
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
HELPPPPPPPPP MEEEEE STARVINGGGGG
Actually help me with the screenshot though LOL
Answer: i think A, but might not be sry
Step-by-step explanation:
Kimoni wants to purchase a pair of shoes that are on sale for 10% off the regular price
of $64.00. Which is the sale price of the shoes?
Answer:
the price of the pair of shoes are $57.60
Step-by-step explanation:
So you first need to find out what 10% is in $64 so your going to multiply 0.1 (10% in decimal form is 0.1 ) by 64 to get 10% of the original price.
64 * 0.1 = $6.40
so now we are going to subtract $6.40 from $64 for the sale price:
$64.00 - $6.40 = $57.60
so the sale price is $57.60
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
I will give brainliest but please help
Step-by-step explanation:
25+50x=25+45x
then the answer you get from that you multiply it by 4 sorry if incorrect
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)
How to solve stacked similar figures
Answer:
Step-by-step explanation:
You can identify similar polygons by comparing their corresponding angles and sides. As you see in the following figure, quadrilateral WXYZ is the same shape as quadrilateral ABCD, but it’s ten times larger (though not drawn to scale, of course). These quadrilaterals are therefore similar.
similar polygons: For two polygons to be similar, both of the following must be true:
Corresponding angles are congruent.
Corresponding sides are proportional.
To fully understand this definition, you have to know what corresponding angles and corresponding sides mean. (Maybe you’ve already figured this out by just looking at the figure.) Here’s the lowdown on corresponding. In the figure, if you expand ABCD to the same size as WXYZ and slide it to the right, it’d stack perfectly on top of WXYZ.
You roll two die. What is the probability you will roll a 4, then roll a number less than 3?
A) 1/36
B) 1/9
C) 1/6
D) 1/18
Answer:
B 1/9
Step-by-step explanation:
Because there are 6 sides of a die then your adding 3 to the 6
I think. (please dont hate me if im wrong!!)
The probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18
What is the chain rule in probability for two events?For two events A and B:
The chain rule states that the probability that A and B both occur is given by:
[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.
Symbolically, we have:
Two events A and B are said to be independent iff we have:
[tex]P(A \cap B) = P(A)P(B)[/tex]
For this case, let we define two events:Then A and B are independent as their outcomes are not directly related or prone to affect each other assumingly.
Thus, probability of rolling a 4, then rolling a number less than 3 is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Total number of outcomes for any roll = n(S) = 6
Favorable number of outcomes for event A = n(A) = 1 (since a 4 can occur in 1 way out of 6 results)
Thus, P(A) = n(A)/n(S) = 1/6
And, favorable number of outcomes for event B = n(B) = 2 (since numbers less than 3 are only 1 and 2, so two outcomes possible)
Thus, P(B) = n(B)/n(S) = 2/6
Hence, probability of rolling a 4, then rolling a number less than 3 is:
[tex]P(A \cap B) = P(A)P(B) = \dfrac{1}{6} \times \dfrac{2}{6} = \dfrac{2}{36} = \dfrac{1}{18}[/tex]
Therefore, the probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18
Learn more about probability here:
brainly.com/question/1210781
Which equation describes a line perpendicular to line r that passes through the point (3,-6) x-3y=21, 3x+y=3, 3x-y=15, 3x-y=3
Answer:
See Explanation
Step-by-step explanation:
Missing in the question is the slope of line r.
We'll assume that the slope (m) of line r is
[tex]m = -\frac{1}{3}[/tex]
When two lines are perpendicular, their slope are related in:
[tex]m_2 = -1/m_1[/tex]
[tex]m_2 = -1/\frac{-1}{3}[/tex]
[tex]m_2 = -1 * -3[/tex]
[tex]m_2 = 3[/tex]
The equation of the (3,-6) is:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex](x_1,y_1) = (3,-6)[/tex]
So:
[tex]y - (-6) = 3(x - 3)[/tex]
[tex]y +6 = 3x - 9[/tex]
Make y the subject
[tex]y = 3x - 9 - 6[/tex]
[tex]y = 3x - 15[/tex]
Please note that this answer might be incorrect to you based on the assumed value. However, the step will guide you in solving similar questions
i need this fast guys. help a comrade out this is due tmm
Answer:
150,250
Step-by-step explanation:
Hope this helps!
Use the distributive property to remove the parentheses.
3(u + 7)
doing a test pls answer quick !!!
I’ll mark you brainlist I’ll mark you brainlist write in y=mx+b form
Answer:
y=-4x+2
hope this helped
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:
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
how to write k/3 + 16 in words
Answer:
k divided by three plus sixteen
Um- help-.. please don’t comment if you don’t know
Answer:
Each point does NOT ALWAYS give the same amount of tickets.
11 point would most likely give 90 tickets.
Step-by-step explanation:
2 points give 18 tickets = 9 tickets per point
3 points give 27 tickets = 9 tickets per point
9 points give 72 tickets = 8 tickets per point
You can add the 2 point value with the 9 point values to find out many point it takes to get to 90 tickets.
18(2 tickets) + 72(9 tickets) = 90(11 tickets)
Answer:
Im, not as sure, but I think it's 10 points!
Step-by-step explanation:
If you divide the tickets by the points, they always come up as a whole number ( 9, 9 , then 8.) To be honest, I was a little stuck, but after messing around,, if you divide 90 by 10, you get a whole number, 9. so I was just thinking this would be right? Maybe? The Points keep increasing, so that follows that pattern...
Honestly, I hope this helps, but I'm super sorry if that is wrong!!
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