Answer:
B. (3, -6)
Step-by-step explanation:
Given line
y= 1/4x + 3
given line is in form of y = mx + c
where m is slope of line and c is y intercept
thus, in line y= 1/4x + 3 m is 1/4 is slope
we know product of slope of two perpendicular line is -1
m1 * m2 = -1
let the line perpendicular to y= 1/4x + 3 be
y = mx + c
thus
m * 1/4 = -1
m = -4
Thus, in y = mx + c , m is -4
updated equation until now by putting value of m as -4
y = -4x + c
this, line passes through point (0,6)
putting x as 0 and y as 6 in y = -4x + c
we have
6 = -4*0 + c
=> c = 6
Thus, equation of perpendicular line is
y = -4x + 6
_______________________________________________
we have to find which point from the option lies on y = -4x + 6
lets plug in value of x from given points and see if value of y calculated is as given in option . if the value is different then point does not lie on perpendicular line
(4, -2)
y = -4*4 + 6
y = -16 + 6 = -10
-10 is not equal to -2 as given in option, thus point (4,-2 ) does not lie on
y = -4x + 6
(3,-6)
y = -4*3 + 6
y = -12 + 6 = -6
-6 is equal to -6 as given in option, thus point (3,-6 ) does lie on
y = -4x + 6
(0, -6)
y = -4*0 + 6
y = 0 + 6 = 6
6 is not equal to -6 as given in option, thus point (0,-6 ) does not lie on
y = -4x + 6
(-2,2)
y = -4*-2 + 6
y = 8 + 6 = 14
14 is not equal to 2 as given in option, thus point (-2,2 ) does not lie on
y = -4x + 6
Thus, option B. (3, -6) is the correct choice.
The function y = 100(0.5)
x
4
models the percent, y, of an initial dose of medicine remaining in a patientbloodstream after x hours.
Based on the model, what percent of the initial amount of medicine will remain in the patient’s bloodstream after 10 hours? Round to the nearest whole percent.
Answer:
18% , 27 Hours
Step-by-step explanation:
On edge 2020
The percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is, 17.7%.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Since, The function that models the percentage, y, of an initial dose of medicine remaining in a patient's bloodstream after x hours is given as,
⇒ [tex]y = 100 (0.5)^{x/4}[/tex]
Now, if we substitute the value of x as 10 because we need to find the percentage of medicine in the body after 10 hours.
Therefore, the value can be written as,
⇒ [tex]y = 100 (0.5)^{x/4}[/tex]
Put x = 10;
⇒ [tex]y = 100 (0.5)^{2.5}\\[/tex]
⇒ y = 17.677
⇒ y = 17.7
Thus, the percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is 17.7%.
Learn more about Function visit:
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5x - 2 = 10 - X
Please help
Answer: x = 2
5x - 2 = 10 - x
Add x to both sides.
6x - 2 = 10
Add 2 to both sides.
6x = 12
Divide both sides by 6.
x = 2
Step-by-step explanation:
5x - 2 = 10 - x
5x + x = 10 + 2
6x = 12
x = 12/6
x = 2
Simplify. 12x^4y^5+8x^3y^7-16x^2y^6 over 4xy^5
Answer:
3x^3+2x^2y^2-4xy
Step-by-step explanation:
You should Photomath really good for math problems
Plz answer the following equation. Plz answer all the questions... !!! 20 pts !! With explanations of each and plz can you make e understand them.
Answer:
add the negative to the 0 that is left alone at the end then carry the x2 over to the side bringing it down with the x and cancel them taking away the 2. the answer is -1
Step-by-step explanation:
Answer:
2+√3
2-√3
Step-by-step explanation:
4x-1-x²=0x²-4x+1=0x²-4x+4-3=0(x-2)²=3x-2=√3 ⇒ x= 2+√3x-2= -√3 ⇒ x= 2-√3Roots are irrational
How do I solve this equation:
-5(n-1)=7(n+3)
Answer:
-3/4
Step-by-step explanation:
The First step is to distribute the 7 in the second part of parentheses.
-5+5-7n=21
-5-7n=21+5
Then collect the terms
-12n=16
Lastly distribute both sides by -12
And the answer is -3/4
What’s the vertex y=-1/2(x+3)^2-1
Answer:
vertex = (- 3, - 1 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = - [tex]\frac{1}{2}[/tex] (x + 3)² - 1 ← is in vertex form
with vertex = (- 3, - 1 )
Kiwi and Corn got into an argument over if 1.75 was a reasonable estimate for 6. Do you think 1.75 was a reasonable estimate for 6? Why or why not?
Answer:
No, it is not.
Step-by-step explanation:
comparing the two given values, 1.75 and 6, estimating 1.75 for 6 is not reasonable. This is due to the fact that converting 1.75 to the nearest whole number gives 2 which is far away from 6. Since,
6 - 2 = 4
So, estimating 1.75 for 6 would involve a large value of error. Which make it unreasonable. It would have been more reasonable to estimate 1.75 for 2.
Figure 3:
1. If you created a tree diagram to represent all the possible outcomes of a spinning spinner A once, then spinning spinner B, how many would there be in total
1. 9
2. 12
3. 18
Answer:
9
Step-by-step explanation:
HELP PLEASE I NEED HELPPPP
What is the sign of....
a x (-b/b)
when a =0 and b<0
A. positive
B. negative
C. zero
THIS IS ON KHAN ACADEMY AND I DONT GET IT IF U ANSWER ILL GIVE YOU BRANLIEST AND 100 points PLEASE JUST HELP MEH
Answer:
C. zero
Step-by-step explanation:
a * (-b/b)
-b/b = -1
a* -1
If a = 0 then
0 * -1 = 0
Answer:
0
Step-by-step explanation:
pls give brainliest
HELP PLEASE!
Which expression is equivalent to 2m2-m2(7-m)+6m2?
A.m2-m
B.-m3+13m2
C.-m3+m2
D. m3+m2
Answer:
D. m³+m²
Step-by-step explanation:
If expression is 2m²-m²(7-m)+6m² then after distributing and combining like terms it will be:
2m² -7m²+m³+6m²
m²+ m³
Answer:
other guy is right
Step-by-step explanation:
edg. 2020
Please answer need help
Answer:
-9,5 -> -9,1 -> -8,9 -> 8,7
You are looking for all possible pairs of car models and colors. A manufacturer has 12
models, each with 18 color options. What is the total possible pairs?
Answer:
216
Step-by-step explanation:
12 × 18 = 216 :)) !!!!
Please help! I will mark you as brainliest!
Answer:
£290.70
Step-by-step explanation:
50x5=250
20x2=40
10x7=70
5x3=15
total = 375
375/1.29=290.697
= £290.70
Step-by-step explanation:
$50-5= 50×5
= 250
$20-2=20×2
= 40
$10-7= 10×7
= 70
$5-3= 5×3
15
then,
we add
250 + 40 + 70 + 15 = 379
£1= $1.29
$ = 1/1.29
= 379/1.29
You borrow $1,000 on a simple interest loan. You pay an annual rate of 3.5%. You will
take 3 years to pay back the loan. How much interest will you pay?
$1,000
interest
0% 3.5%
100%
CHECK
$
Answer:
The amount of interest to be paid is $105
Step-by-step explanation:
To find how much interest that will be paid, we will follow the steps below;
Simple Interest = PRT / 100
where p is the principal, R is the rate and T is the time in years
from the question given
principal P = $1000
Rate R = 3.5
and time T = 3
substitute the values into the formula above
Interest = $1000×3.5×3 / 100
=$10×3.5×3
=$105
Interest = $105
The amount of interest to be paid is $105
Answer: no sense
Step-by-step explanation:
Which ordered pair is the solution to the system of equations? {x+2y=−8y=12x−2
Answer:
[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]
Step-by-step explanation:
[tex]x+2y=-8 \\\\y=12x-2[/tex]
Substitute:
[tex]x+2(12x-2)=-8[/tex]
Expand:
[tex]x+24x-4=-8[/tex]
Simplify:
[tex]25x=-4[/tex]
Divide both sides by 25:
[tex]x=-\dfrac{4}{25}[/tex]
Plug this back into one of the original equations to find y:
[tex]-\dfrac{4}{25}+2y=-8 \\\\\\2y=-7 \dfrac{21}{25}=-\dfrac{196}{25} \\\\\\y=-\dfrac{98}{25}[/tex]
The ordered pair that represents this solution is therefore:
[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]
Hope this helps!
To write 11x^2+17x-10 in factored form, Diego first listed pairs of factors of -10.
(__+10)(__+-1)
(__+1)(__+-10) (fill in blanks)
(You dont need to explain just answer it)
Isabella watched the cashier scan the 7 items in her shopping cart. The scanned prices were
$9.00 $9.00 $8.00 $5.00 $7.00 $4.00 $7.00
What was the median price of the items?
Answer:
$7.00
Step-by-step explanation:
First you have to order the prices from least to greatest-
$4.00, $5.00, $7.00, $7.00, $8.00, $9.00, $9.00
Median means the number in the middle so you find the middle number which is $7.00 (the 4th number from least to greatest)
Need Help ASAP!!!!!....
Answer the question below
Answer:
a) The modal average is 3 bedrooms
b) The mean number of bedrooms is 2.825, or 3 rounded.
Step-by-step explanation:
If you lay out all the numbers from lowest to highest, and find the one in the middle, it is 3 bedrooms.
For the mean, if you add up all the number of bedrooms then divide by the total frequency, you get 2.825. This would be 113 ÷ 40.
Help!
MJ Supply distributes bags of dog food to pet stores. Its markup rate is 28%. Which equation represents the new price of a bag, y, given an original price, p? Select all that apply. *
A) y = 0.72p
B) y = p + 0.72p
C) y = 1.28p
D) y = p + .28p
E) y=1.28p
F) y = 1 + .28p
Answer: it’s C.
Step-by-step explanation:
The equation that represents the new price of a bag is y = 1.28p.
Markup rate is the ratio of the difference between the selling price and cost price to the cost price. It is given by:
Markup rate = (selling price - cost price)/cost price
Given that y is the selling price, p is the cost price and the markup rate is 28%, hence:
28% = (y- p)/p
y-p = 0.28p
y = 1.28p
Hence the equation that represents the new price of a bag is y = 1.28p.
Find out more at: https://brainly.com/question/23106860
Which of the following statements best describes adjacent angles?
Adjacent angles are vertical.
O Adjacent angles are supplementary.
Adjacent angles share interior points.
Adjacent angles share a side.
Answer:
(d) Adjacent angles share a side.
Step-by-step explanation:
Adjacent angles share a side and a vertex, but do not share any interior points. The appropriate choice is ...
Adjacent angles share a side.
Answer: D: Adjacent angles share a side
Step-by-step explanation: Hope that helped
Find the value of x in each case. Give reasons to justify your solutions!
Q ∈ PR
Answer:
x = 52 Degrees
Step-by-step explanation:
Welp, here I go again
According to the Exterior Angle theorem Angle R + Angle S = Angle PQS
So simplified that'd be (90 + 34) = x + 72
124 = x + 72
x = 124 - 72
x = 52 Degrees
How do you write the circumference of the circle in terms on 几
____________________________________
Hey!!!
The formula to find circumference of circle
=2 pi r
For eg:
Radius=4 cm
Circumference of circle=2 pi r
=2 *pi*4
=8 pi
Hope it helps..
Good luck on your assignment
#Stay safe#
__________________________________
Which of the following are square roots of the number below? Check all that
apply.
576
A.) 24
B.) -576 1/2
C.) 12
D.) -24
E.) 48
F.) 576 1/2
Answer:
A and D
Step-by-step explanation:
576 ^ 1/2 = + or - 24
pls help meeeeeeee pls
(a) Find an angle between 0 and 2π that is coterminal with −19π10.
Answer:
[tex]\dfrac{\pi}{10}[/tex].
Step-by-step explanation:
All coterminal angles of an angle [tex]\theta[/tex] are defined as
[tex]\theta +2n\pi[/tex] or [tex]\theta + n360^{\circ}[/tex]
where, n is an integer.
The given angle is
[tex]\theta=-\dfrac{19\pi}{10}[/tex]
So, all coterminal angles of an angle [tex]\theta[/tex] are
[tex]-\dfrac{19\pi}{10}+2n\pi[/tex]
For n=1,
[tex]\Rightarrow -\dfrac{19\pi}{10}+2(1)\pi[/tex]
[tex]\Rightarrow -\dfrac{19\pi}{10}+2\pi[/tex]
[tex]\Rightarrow \dfrac{-19\pi+20\pi}{10}[/tex]
[tex]\Rightarrow \dfrac{1\pi}{10}[/tex]
Since, [tex]\dfrac{\pi}{10}[/tex] between 0 and 2π, therefore, the required coterminal angle is [tex]\dfrac{\pi}{10}[/tex].
select the correct answer. witch is the correct simplified form of the expression
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
-1/3 -1/2 = -5/6
1/2-1/4 = 1/4
The negative makes the reciprocal
x^1/4/y^5/6
if 5800 people buy something that's 0.25 cents how much money would be made
Answer:
1450
Step-by-step explanation:
Take the amount of people times the dollar amount
5800 * .25 =1450
someone please help me please and thank you
Answer:
it is the second one
Step-by-step explanation:
if you rotate it by 180 degrees then it will end up across the original and it will look upside down. after you rotate it dilate it by 1/2 which will look smaller than the original. after you dilate it it should be across the orriginal and upside down and be smaller than the original.
i need help please thanks
Answer:
66 units
Step-by-step explanation:
just addition
Answer:
66 units
Step-by-step explanation:
The perimeter of a two dimensional object is all of its sides added together:
6+14+10+17+4+3+8+4=
20+10+17+4+3+8+4=
30+17+4+3+8+4=
47+4+3+8+4=
51+3+8+4=
54+8+4=
62+4=
66 units
