Answer:
I hope it helps U
Step-by-step explanation:
As given quadratic equation is ,
y= 4x*2 -16x+10
As general quadratic equation is,
y=ax^2+bx+c , we get a=4 , b=-16 , c=10
as a=4 and +ive so the parabola is up-down facing
vertex formula is X(vertex)= -b/2a putt values in this formula we will get x -coordinate of vertex,
X(vertex)= -(-16)/2*4
X(vertex)= 2
Now to find the Y- Co-ordinate just plug in the value of X in the given equation, hence
Y(vertex)=4(2)^2-16*2+10
Y(vertex)=-6
hence the vertex of given equation is (2,-6)
What is the square root of 75 in simplified form?
Answer:
√75 as 5⋅√3.
Answer: the first one 5√3
Step-by-step explanation:
6h + (-7.9d) - 16 + 5d - 3.5h =
please help
if f=(x)=7(x-1)+8, what is the value of f(1)?
Jermaine buys T-shirts for $6 each and marks up the price by 45%. How much more does Jermaine charge for each T-shirt sold?
Answer:
$2.7
Step-by-step explanation:
We find the amount that was marked up
Jermaine buys T-shirts for $6 each and marks up the price by 45%.
The marked up amount = 45% × $6
= 45/100 × $6
= $2.7
Therefore, the amount Jermaine charges more for each T-shirt sold is $2.7
help me solve this problem? algebra I
What is the answer please I need emergency help I will mark you as brainlist✨✨✨
Answer:
D
Step-by-step explanation:
The absolute value of -5.8 is 5.8
the sitting height (from the bottom of the seat to the top of the person's head) of female drivers is normally distributed with a mean of 34 inches and a standard deviation of 1.4 inches as shown below. If a car company designs a vehicle so that the roof is 34 inches from the bottom of the seat, what percentage of women would not fit in the driver's seat? A. 40% B. 50% C. 50.1% D. 60%
Answer:
B; 50%
Step-by-step explanation:
Here, we want to calculate the percentage of women that will not fit in the driver’s seat
We proceed as follows;
We start with calculating the z-score of this;
That would be ;
(x-mean)/SD
in this case;
x = 34 inches
mean = 34 inches
SD = 1.4 inches
Thus, we have that;
(34-34)/1.4 = 0/1.4 = 0
when z-score is 0, we are at the center of the distribution
A z-score of 0 corresponds to exactly 50%
I need to solve for the angle, but I just don't know how to do it! The equation is: Cos A=Sin3A
Can someone explain the formula so I can know how to do it, I will really appreciate it!
9514 1404 393
Answer:
A = 22.5°, 45°, 112.5°, 202.5°, 225°, 292.5°
Step-by-step explanation:
Use the angle reduction formula to reduce this to an expression involving only sine or cosine, then solve the resulting higher-degree polynomial.
sin(3x) = 3sin(x) -4sin³(x)
Using the identity for cosine, we have the radical equation ...
√(1 -sin²(A)) = 3sin(A) -4sin³(A)
Squaring both sides, we have ...
1 - sin²(A) = 9sin²(A) -24 sin⁴(A) +16sin⁶(A)
Letting z = sin²(A), this is the cubic equation ...
1 -z = 9z -24z² +16z³
16z³ -24z² +10z -1 = 0
Solving this by the usual methods, we find its factors to be ...
(2z -1)(8z² -8z +1) = 0
8(2z -1)((z -1/2)² -1/8) = 0 . . . . quadratic in vertex form
Then the roots are ...
z = (1 ±√(1/2))/2, z = 1/2
The angle solutions are ...
A = arcsin(±√z)
Of course, these need to be adjusted to fall in the domain of interest, and checked for extraneous solutions.
For z = 1/2-√(1/8), the angles are ...
A = ±22.5° ⇒ 22.5°, 157.5°, 202.5°, 337.5°
For z = 1/2, the angles are ...
A = ±45° ⇒ 45°, 135°, 225°, 315°
For z = 1/2+√(1/8), the angles are ...
A = ±67.5° ⇒ 67.5°, 112.5°, 247.5°, 292.5°
The angles that are in bold are the actual solutions; the others are extraneous.
_____
All of the above is "the hard way." A much simpler approach is to take advantage of the identity ...
cos(a) -sin(b) = (1/2)·sin(b/2 -a/2 -π/4)·sin(b/2 +a/2 -π/4)
Then you can use the zero product rule to find (for a=A, b=3A) ...
(3A/2 -A/2 -π/4) = nπ ⇒ A = nπ +π/4 ⇒ 45°, 225°
(3A/2 +A/2 -π/4) = nπ ⇒ A = (nπ +π/4) ⇒ 22.5°, 112.5°, 202.5°, 292.5°
_____
Rewriting the equation as a function equal to zero, the solutions are the x-intercepts of the graph. In the attached, the x-axis is set to degrees.
f(A) = cos(A) -sin(3A) = 0
Find the missing angle measures
Helppp por favor!!
Mohammed is running the 800m race.He has completed 25 percent of the total distance. How far did mohammed run
Answer:
He has ran 200 m
Step-by-step explanation:
Step one:
given data
Mohammed is running the 800m race
He has completed 25 percent= 25%
Step two:
Let us find 25% of 800
=25/100*800
=0.25*800
=200 m
J(-9, -2), K(-5, 1), L(1, -4), M(-3, -7)
is this is parallelogram?
Answer:
Yea, I'm pretty sure it is
Step-by-step explanation:
y=1−2x;x=9 can you please help
Answer:
17
Step-by-step explanation:
since you are given that x is 9 all you have to do is plug it in. So 1-2(9) 2 times 9 is 18 so 1-18=17
I need help please fast mabey
Answer:
1: 80% is 4/5 of the whole quantity
2: 1/5 is 20% of the whole quantity
3: 50% is 1/2 of the whole quantity
4: 1 is 100% of the whole quantity.
Please help!!-help-help
Answer:
The scale factor is .5 I hope that this helps :)
Step-by-step explanation:
what is an equation of the line that passes through the point (3, -8) and has a slope -2?
Answer:
y = -2x - 8
Step-by-step explanation:
Mr. Holloway is a craftsman who makes custom guitars by hand. His last order was for 2 guitars, and it took him 8 weeks to make them. He receives an order to make 7 guitars.
Answer:
It took Mr. Holloway 28 weeks to make 7 guitars.
Step-by-step explanation:
The question is incomplete, but if we are trying to find out how many weeks it would take him to make 7 guitars then the answer would be 28.
First you have to find out how many weeks it takes him to make 1 guitar.
8 ÷ 2 = 4 (4 weeks to make 1 guitar)
Then you have to multiply 4 by 7 since it takes 4 weeks to make 1 guitar.
4 * 7 = 28 (28 weeks to make 7 guitars)
Answer:
28 weeks
Step-by-step explanation:
URGENT: State whether each equation represents a direct, inverse, joint, or combined variation. State the constant of variation.
V = 5n [tex]\frac{t}{m}[/tex]
Answer:
Combined
Step-by-step explanation:
Explore the relationship between the general forms of variation :
Direct Variation :
x varies directly as y ; x = kx
Inverse Variation :
x varies inversely as y ; x = k/x
Joint : x varies jointly as y and Z ; x = kxz
combined :
x varies directly as y and inversely as z ; x = kx * 1/ ; x = kx/z
Where k is the proportionality constant.
In the equation given above :
We have a combination of joint and inverse variation : V = 5ng
V varies jointly as n and t and inversely as m
V α k * n * t * 1 / m
V = Knt /m
Where, k is proportionality constant.
PLEASE HELP ASAP, MARKING BRAINLIEST!!
Find the value of x.
Answer:
5
Step-by-step explanation:
since the sides are the same size, then the equation should be combined into x+2=2x-3
then subtract an x from both sides: 2=x-3
then add 3 to both sides: 5=x
and you have your answer
hope this works
Answer:
x=5
Step-by-step explanation:
x+2=2x-3
-x on both sides=
2= x-3
then -2 on both sides
0= x-5
this means that x must be 5 so that positive 5- negative 5 equals 0 :)
What is the value of 2^-3?
please answer with one of the options given belown (a,b,c,or d)
Answer:
B. 1/8
Step-by-step explanation:
three point one four times eight squared
Answer:
200.96
Step-by-step explanation:
Hope it helps! Good luck with math.
Bill can mow the lawn in 2 hours, and his younger brother Tom can now it in 3 hours. If both brothers mow the lawn together, how many hours will it take them?
1. What is the y intercept ?
2. Write an equation of the line in the graph above
Answer:
1) The y-intercept is -3.
2) An equation would be y = 2x - 3
What is 1% of 440? Can you help
Answer:
1% of 440 is 4.4
Step-by-step explanation:
440 x .01 = 4.4
∆ABC and ∆PQR are congruent under the correspondence: ABC ↔ RQP
then the part of ∆ ABC that correspond to:
Answer:
Please check the explanation.
Step-by-step explanation:
Given
ABC ↔ RQP
so
ΔABC ≅ ΔABC
It means the triangles are congruent.
Please check the attached diagram.
In the diagram,
A ↔ RB ↔ QC ↔ PParts of ΔABC that correspond to
(i) PQ
[tex]PQ[/tex] corresponds to [tex]CB[/tex]
(ii) ∠Q
∠Q corresponds to ∠B
(iii) RP
[tex]RP[/tex] corresponds to [tex]AC[/tex]
Find the distance between each pair of points. Round your answer to the nearest tenth, if
necessary.
(8, -7), (5,1)
A 4.4
B 8.5
C 3.3
D 14.3
Answer:
b. 8.5
Step-by-step explanation:
d=√(5−8)2+(1−(−7))2
d=√(−3)2+(8)2
d=√9+64
d=√73
d=8.544004
How do you get out of D3presion
please help
Answer:
im d3pressed a lot so i just start listening to songs then out of no where i go to watching you-tubers i like
Step-by-step explanation:
i mean like what kind of d3pression is it abt??
Which is more, 24 quarts or 7 gallons?
Answer:
7 gallons is more because if in quarts it would be 28 quarts
Determine whether the triangles are similar.
Answer:
No
Step-by-step explanation:
Answer:
Yes or No = No
Simalarity Statement "TNS"
Step-by-step explanation:
Wholesome Pizza surveyed a random sample of 404040 Trinity Food Festival attendees about their favorite type of pizza. Of the attendees surveyed, 212121 said that sausage pizza was their favorite type of pizza. There are 160016001600 Trinity Food Festival attendees. Based on the data, what is the most reasonable estimate for the number of Trinity Food Festival attendees whose favorite type of pizza is sausage pizza? Choose 1 answer: Choose 1 answer:
Answer: 840 people
Step-by-step explanation:
They surveyed 40 people in total and out of those 40, 21 said that sausage pizza was their favorite pizza.
The percentage of people who prefer sausage pizza is therefore:
= 21/40 * 100%
= 52.5 %
If there are 1,600 people in the festival and we assume that the sample is a representation of the people there, the estimated number of people who prefer sausage pizza will be:
= 52.5% * 1,600
= 840 people
i passed my exam lets gooooooo
Answer:
Step-by-step explanation:
Yesss
