Answers
answer:
B and C are correct.
explanation:
[tex]\hookrightarrow \sf x^2-5x+5[/tex] where ax² + bx + c
\\ Thus we can determine a = 1, b = -5, c = 5 \\
using quadratic equation:
[tex]\rightarrow \sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ \ ax^2 + bx + c = 0[/tex]
[tex]\hookrightarrow \sf x_{1,\:2}=\dfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\cdot \:5}}{2\cdot \:1}[/tex]
[tex]\hookrightarrow \sf x=\dfrac{5+\sqrt{5}}{2},\:x=\dfrac{5-\sqrt{5}}{2}[/tex]
Answer:
B and C
Step-by-step explanation:
[tex]x^2-5x+5=0[/tex]
⇒ a = 1, b = -5, c = 5
Using quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\implies x=\dfrac{5\pm\sqrt{(-5)^2-4\cdot 1 \cdot 5} }{2\cdot 1}[/tex]
[tex]\implies x=\dfrac{5\pm\sqrt{5}}{2}[/tex]
Related Questions
Which of the following statements are true of a least - squares regression equation? *
Answers
Answer:
It has the same sign as the correlation coefficient r
Jacob can take any one of three routes from school to the mall, and one of five possible routes from the mall to his
house. If he doesn't retrace his steps, how many different ways can Jacob walk from school to home?
O 7
O 8
O 10
O 15
Answers
Answer:
8
Step-by-step explanation:
Answer:
D, 15
Step-by-step explanation:
If angle 1 is not congruent to angle 2, which conclusion must be true?
Answers
At the end of December, Justus and Eduardo both earned a one-time bonus at work, plus their hourly wages.
Justus’ earnings are modeled by the function J(x) = 38.25x + 50.00.
Eduardo’s earnings are modeled by the function E(x) = 30.20x + 52.00.
Justus and Eduardo worked the same number of hours.
If x represents hours worked, which function represents the total monthly earnings of Justus and Eduardo, M(x)?
Answers
By directly adding the two given linear equations, we will see that the function that represents the total monthly earnings is:
M(x) = 68.45*x + 102.00
How to get the total earnings of Justus and Eduardo?
We know that Justus' earnings are given by:
J(x) = 38.25x + 50.00.
While Eduardo's earnings are given by:
E(x) = 30.20x + 52.00.
The earnings of both together will be given by the direct sum of the two earnings above, so we have:
M(x) = E(x) + J(x) = 38.25x + 50.00 + 30.20x + 52.00
Now we can simplify this to get:
M(x) = (38.25 + 30.20)*x + 50.00 + 52.00
M(x) = 68.45*x + 102.00
This linear equation represents the total monthly earnings of Justus and Eduardo.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/1884491
A park has 2 flagpoles 20m apart. One pole is 12m high and the other is 27m high. Calculate the angle of depression from the top of the taller pole to the top of the shorter pole. Round off your answer to the nearest hundredth.
PS. Please put an illustration/drawing of the problem. Thank you!
Answers
Answer:
37°
Step-by-step explanation:
Here it is given that there are two flagpoles which are 20 m apart. One of them is 12m high and the other is 27m high .And we are interested in finding the angle of depression from the top of taller pole to the top of shorter pole .
For illustration, refer to the attachment or below ,
Illustration :-
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\put(0,0){\line(0,1){6}}\put(0,0){\line(1,0){4}}\put(4,0){\line(0,1){4}}\multiput(0,4)(0.6,0){7}{\qbezier(0,0)(0,0)(0.5,0)}\qbezier(0,6)(0,6)(4,4)\put(0,6){\vector(1,0){3}}\qbezier(0.8,6)(1,5.8)(0.6,5.7)\put(1,5.6){$\theta$}\qbezier(3.2,4.42)(3,4.1)(3.25,4)\put(2.4,4.15){$\theta$}\put(-0.5,-0.5){A}\put(-0.5,6){E}\put(-0.5,3.8){D}\put(-0.8,5){15m}\put(4.3,-0.5){B}\put(-1.2,2){$ 27m $}\put(3.2,6){$ F $}\put(4.5,2){$ 12m $}\put(4.3,3.8){C}\put(-1,1.8){\vector(0,-1){1.8}}\put(-1,2.4){\vector(0,1){3.7}}\put(2,-0.5){$ 20m$}\put(2,3.5){$ 20m$}\end{picture} [/tex]
Here the angle of depression will be ,
[tex]\longrightarrow\sf \angle_{of \ depression}=\angle FEC [/tex]
Also ,
[tex]\sf\longrightarrow \angle FEC =\angle ECD \ (alternate \ interior \ angles)[/tex]
Let ,
[tex]\sf\longrightarrow \angle FEC =\angle ECD = \theta \ ( say ) [/tex]
Now in ∆ EDC , we have;
[tex]\sf\longrightarrow tan\theta =\dfrac{perpendicular}{base}\\ [/tex]
[tex]\sf\longrightarrow tan\theta =\dfrac{15m}{20m}\\[/tex]
[tex]\sf\longrightarrow tan\theta =\dfrac{3}{4}\\ [/tex]
[tex]\sf\longrightarrow \theta =tan^{-1}\bigg\lgroup \dfrac{3}{4}\bigg\rgroup\\ [/tex]
[tex]\sf\longrightarrow \underline{\boxed{\textsf{\textbf{$\boldsymbol{\theta}$= 37$^{\bf o }$ }}}} [/tex]
And we are done!
Answer:
θ = 37°
Step-by-step explanation:
In the figure,
Distance between the poles = DC = 20 m
Height of the smaller pole = ED = 12 m
Height of the larger pole = AC = 27 m
Now, by using the properties of a rectangle,
DC = EB = 20 m
ED = BC = 12 m
Then,
AB
= AC - BC
= 27 - 12
= 15 m
We know that,
tan (θ) = opposite side / base side
Then, in △ ABE,
(Here, θ = missing angle)
tan (θ) = AB / BE
tan (θ) = 15/20
tan (θ) = 3/4
=》 θ = 37°
___________
Note:
Ray A & BE are parallel horizontal lines with AE as the transversal, so both the angles are equal to each other as then they will be alternate interior angles & they are represented in this question as 'θ'.
[Refer to the attachment for the figure]
____________________
Hope it helps ⚜
Ophthalmology students compared two types of detached retina surgery to determine if patients were able to regain vision. They studied laser surgery and freezing treatment. Identify the response and explanatory variables.
Answers
Answer:
- Response variable: The amount of vision the patients obtained after surgery.
- Explanatory variable: The type of detached retina surgery carried out.
Step-by-step explanation:
Response variable is the main focus of a question when carrying out a study or experiment. Whereas, an explanatory variable is the variable one that explains the changes in the response variable.
Now, in the question we are given it is clear that the main focus of the study is to determine if patients were able to regain vision.
Thus, the response variable is; the amount of vision the patients obtained after surgery.
Now, what determines if patients were able to regain vision is hinged on the 2 retina surgeries which are: laser surgery and freezing treatment.
Thus, the explanatory variable is; The type of detached retina surgery.
Find the value of n.
8 x n = 5 x 8
Answers
Answer:
n=5
Step-by-step explanation:
Solve and isolate n.
8 x n = 5 x 8
8 x n = 40 Divide out the 8
n=5
Velocity If a stone is dropped from a height of 350 feet, its height after t seconds is given by
s = 350 − 16t2.
Find its instantaneous velocity function.
v(t) =
Find its velocity at time t = 3.
v(3) =
Answers
See picture for math work and answer.
What is the difference?
StartFraction x Over x squared minus 2 x minus 15 EndFraction minus StartFraction 4 Over x squared + 2 x minus 35 EndFraction
Answers
Answer:
(x^2 + 3x - 12)/(x^3 + 5x^2 - 29x - 105)
Step-by-step explanation:
(x/(x^2 - 2x - 15) ) - (4/(x^2 + 2x - 35)) =
(x/((x-5)(x+3))) - (4/((x-5)(x+7))) =
((x * (x+7)) - (4 * (x+3)))/((x-5)(x+3)(x+7)) =
(x^2 + 7x - 4x - 12)/(x^3 + 5x^2 - 29x - 105) =
(x^2 + 3x - 12)/(x^3 + 5x^2 - 29x - 105)
Answer:
the Answer is D: x^2+3x-12/(x+3)(x-5)(x+7)
Step-by-step explanation:
Edge2020 ;D
The histogram shows the scores of students on their most recent history test. How many students scored 80% or better on the test?
Answers
Answer:
i cant see it clearly to give you a propper answer
The sales tax rate is 10%. If Liam buys a wheelbarrow priced at $94, what will be the total cost including tax?
Answers
Answer:
$9,4
Step-by-step explanation:
Multiply the number by 10 over 100
Hey there!
=> [tex]\fbox{94 × 10/100}[/tex]
=> [tex]\fbox{ 940/100}[/tex]
=> [tex]\fbox{9.4}[/tex]
[tex] We \:add\: 9.4\: to\: 94[/tex]
=> [tex]\fbox{94 + 9.4}[/tex]
=> [tex]\fbox{103.4}[/tex]
Therefore, total cost is 103.4
barbara has $80 in a savings account that earns 5% interest per year. The interest is not compounded. How much will she have in total in 1 year?
Answers
Answer:
4$
Step-by-step explanation:
I = P*r*t
Interest = 80*0.05*1 = 0.8*5 = $4.00
.....................
Answers
Explanation:
There’s models equal 3 1/2 and the whole number of that fraction is 3
The cost of 4 baseball bats and 3 softball bats is $389. If the baseball bats
cost $10 less than the twice the hat, write an equation to model the
situation so that we can find the cost of the hat and the baseball bat.
Answers
Answer:
the price of a softball bat is 143 dollars, and the price of a baseball bat is 296 dollars.
Step-by-step explanation:
This is a problem that needs a set of equations because you are solving for two variables. The price of a baseball bat, and the price of a softball bat. To find the two equations in this sentence you take the context clues that are given to you. The first clue is that the cost of 4 baseball bats and 3 softball bats equals 389. Let's make b stand for the cost of a baseball bat, and s stand for the cost of a softball bat. The equation we can get from this piece of information is 4b +3s = 389 dollars. The second piece of information we get is that the baseball bats cost ten dollars less than twice the softball bat price. This is another equation that is b-10 = 2s.
Now that we have both of the hidden equations, we can solve them to find the cost of baseball bats, and softball bats.
First step is to solve one of the equations to get either one of the variables by themselves. I chose the second one, because it takes less steps. b-10 = 2s. If you add ten to both sides you get the variable b by itself in the equation: b = 2s - 10. Now we go back to the first equation, and substitute in 2s - 10 wherever there is a b. This makes equation one look like this: 4(2s - 10) +3s = 389. Now it is a solvable equation. First you distribute the 4 to (2s - 10) you get 8s - 40 +3s = 389. Then you can add 8s and 3s together since they are the same variable. 11s - 40 = 389. Next, add the 40 to both sides to cancel it out, and you get that 3s = 429. Finally, divide both sides by 3 to get what s equals. s = 143.
Now that we have the value of s, we can go back to the first equation and plug that value in to solve for b. This makes the first equation: b - 10 = 2(143).
Multiply the 2 and 143 first. Then, your equation looks like: b - 10 = 286. Finally, add the 10 to both sides to cancel it out and you get that b = 296.
Putting this back into context: the price of a softball bat is 143 dollars, and the price of a baseball bat is 296 dollars.
Factor 48e + 180 using gcf
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The gcf is 12, so you'll divide 12 to both the 48 and the 180.
So it'll look like this...
[tex]12(4e+15)[/tex]
P.S. don't forget to the "e"
If you want to check if you're right just distribute the 12 and you should get 48e + 180 if you didn't you did something wrong.
A box contains six red popsicles, two blue popsicles, and eight orange
popsicles. If a popsicle is drawn at random, what is the probability that it is
not blue?
Answers
Answer:
7/8
Step-by-step explanation:
add all the popsicles together and subtract the number of blue from the total and put that number over the total and simplify
total popsicles = 14
blue = 2
not blue = 12
12/14 × 100 = 85.71
Final answer = 85.71
Select the correct answer.
What is 75 equal to?.
A.7 x 5
B.5x5x5x5 x 5 x 5 x 5
C:7 x 7 x 7 x 7 x 7
D.5’7
Answers
1/2 divided 3/5 (also please explain how you did)
Answers
Answer: 5/6
Step-by-step explanation:
1/2 / 3/5 (you have to divide so you invert the 3/5 and multiply)
1/2 x 5/3 (then you multiply the upper numbers and write them up, and multiply the lower numbers and write them down
Keith's chocolate bar is 39% cocoa. If the weight of the chocolate bar is 76 grams, how many grams of coca does it contain? Round your answer to the nearest tenth.
Answers
Answer:
29.64
Step-by-step explanation:
76 x 0.39 =29.64
Have a great day!
Please rate and mark brainliest!!
HELP PLEASE,
On which of the following lines does the point (7,1) lie?
A. y - 5 x = 4
B. y = x - 10
C. y = -4 x + 3
D. y = -x + 8
Answers
Answer:
the answer would be A.
Step-by-step explanation:
hope this helps
A. Find the sum.
Pls help me
Answers
Answer:
1. is 1
2. is 0.722222222222
3. is 0.56666666666
4. is 0.791666666666
5. is 1.25
HELP ME PLEASEEE ASAP
A diagonal brace strengthens the wire fence and prevents it from sagging.
The brace makes a 50 degree angle with the wire as shown. Find the value
of the variable.
Answers
Answer:
y° = 130°
Step-by-step explanation:
The angel adjacent to y° corresponds with the given measure of degree that the brace makes with the wire.
Thus, the measure of the angle adjacent to y° = 50° (Corresponding angles are congruent)
y° and the angle adjacent to y° form a linear pair on a straight line.
Therefore:
y° + 50° = 180° (linear pair)
subtract 50 from each side
y° + 50° - 50° = 180° - 50°
y° = 130°
HISTORY Refer to the stem-and-leaf plot below.
Answers
Part (a)
Count the number of individual digits in the leaf category only.
For the first row, we have 3 leaves representing 3 different ages between 20 and 29. Specifically those ages are 26, 26, 29. Repeat ages are possible.
The second row has 17 leaves in it
So far we have 3+17 = 20 people accounted for.
Keep this process going until you get every row.
You should find that in total there are 56 leaves in all to represent the 56 signers of the declaration of independence.
To verify the answer, you can look it up on any history website dealing with this point in time.
Answer: 56=======================================================
Part (b)
The youngest age is 26 because it corresponds to the smallest stem (2) and the smallest leaf (6)
Answer: 26=======================================================
Part (c)
The oldest person on the other hand was 70 since we look at the largest stem (7) and the largest leaf of that stem. There's only one leaf here so we don't have to worry about the second aspect.
Subtract the oldest and youngest ages to get the range.
range = max - min = 70 - 26 = 44
There's a 44 year gap between the oldest and youngest person.
Answer: 44=======================================================
Part (d)
No, the majority weren't between 30 and 39. Instead, the majority of the signers were between 40 and 49 since we have the most leaves in the stem corresponding to "4".
PLEASE HELP IN ALGEBRA
Explain how natural logarithm is applied in real life. Please make sure to give at least two examples
Answers
Sound, earthquakes, the brightness of stars, and chemistry, such as pH balance, a measure of acidity and alkalinity, are all instances of this.
Need help with this, super confused on the last question. Please anything helps!
Answers
Answer:
On Wednesday they sold 5, over the four days they sold 19, and the third I believe it is 26.32 . Please rate me and mark me brainliest!
Step-by-step explanation:
Here are the endpoints of the segments AB, CD, and EF.
A(7,4), B (2,8)
C(5,0), D (1, -5)
E (-3,5), F (-8, 1)
Answers
Answer:
this is not a question
Step-by-step explanation:
Tell whether the sequence is arithmetic. If it is, identify the common difference.
11,20,29,38,...
A. arithmetic sequence;-9
B. arithmetic sequence;9
C. arithmetic sequence;11
D. not an arithmetic sequence
Answers
Answer:
Your answer is Option B.arithmetic sequence;9
Pls mark as brainliest!
Select all of the algebraic expressions that could represent the phrase below.
nine more than the product of 5 times the number of tires t
9 + 5t
5 ▪ t + 9
(9 + 5)t
(5 × t) + 9
5 + 9t
Answers
5t + 9
Step-by-step explanation:
"The product of five times the number of tires t" means that you need to multiply 5 and t. "Nine more" means you need to add 9 to the product of 5 and t.
Answer:
[tex]5 \: times \: the \: number \: of \: tires \: t \: = 5t. \\nine \: more \: than \: that \: is \: 9 + 5t.[/tex]
hence the statement is represented by the expression 9 + 5t.
You start a new job. After w weeks, you have (10w+120) dollars in your savings account and (45w+25) dollars in your checking account. Write an expression in simplest form that represents the total in both accounts and how much money did you have before you started your job and how much money do you have save each week
Answers
Answer:
see below! :)
Step-by-step explanation:
total in both accounts: add both the expressions together
(10w+120) + (45w+25) = 55w+145
divide the expression by 55 to get it in simplest form.
w + 2.63
money i had before i started my job:
plug in 0 for w (0 weeks of having my job - means i just started my job and didn't receive my paycheck :c)
10(0) + 120 = 120 <- savings account
45(0) + 25 = 25 <- checking account
money i save each week:
compare when you plug in 1 for w and 2 for w into the "savings account" expression.
10(1) + 120 = 130
10(2) + 120 = 140
i save $10 a week (140-130 = 10)
hope this helped!! xoxoxo
sin7x - sin3x
cos 7x - cos3x
Answers
Answer:
= -cot5x
Step-by-step explanation:
sin7x - sin3x = sin(5x + 2x) - sin(5x - 2x)
= [sin5x cos2x + cos5x sin2x] - [sin5x cos2x - cos5x sin2x]
= 2 cos5x sin2x
cos7x - cos3x = cos(5x + 2x) - cos(5x - 2x)
= [cos5x cos2x - sin5x sin2x ] - [cos5x cos2x + sin5x sin2x]
= -2 sin5x sin2x
so
(sin7x - sin3x)/(cos7x - cos3x)
= -cos5x/sin5x = -cot5x