Answer:
Step-by-step explanation:
y = |x|+2 is the equation
the translation of y = |x| 2 units up
What is the length of the third side of the window frame below? (Figure is not drawn to scale.)
48 inches
60 inches
70 inches
75 inches
Answer:
75
it has to be smaller then 87 and bigger then 53
What are the zeroes of f(x) = x2 − 6x + 8? (4 points) x = −4, 2 x = −4, −2 x = 4, 2 x = 4, −2
Hey there! :)
Answer:
Third option. x = 2, and x = 4.
Step-by-step explanation:
Find the zeros of this quadratic equation by factoring:
f(x) = x² - 6x + 8
Becomes:
f(x) = (x - 4)(x - 2)
Set each factor equal to 0 to solve for the roots;
x - 4 = 0
x = 4
x - 2 = 0
x = 2
Therefore, the zeros of this equation are at x = 2, and x = 4.
Answer:
x=4 x=2
Step-by-step explanation:
f(x) = x^2 − 6x + 8
To find the zeros, set equal to zero
0 = x^2 − 6x + 8
Factor
What 2 numbers multiply to 8 and add to -6
-4*-2 = 8
-4+-2 = -6
0 = ( x-4) (x-2)
Using the zero product property
x-4 =0 x-2=0
x=4 x=2
Gwendolyn shot a coin with a sling shot up into the air from the top of a building. The graph below represents the height of the coin after
x seconds.
Answer: A
Step-by-step explanation:
Two different families pay for entry into a water park.
Family 1 has 2 adults and 3 children and costs a total of £20 to enter the park.
Family 2 has 1 adult and 4 children and costs a total of £15 to enter the park.
Work out the cost of the adult ticket, and the child ticket.
Answer:
Adult ticket: $7
Child ticket: $2
Step-by-step explanation:
Set up a system of equations where a represents the cost of one adult ticket and c is the cost of one child ticket:
2a + 3c = 20
a + 4c = 15
Solve by elimination by multiplying the bottom equation by -2:
2a + 3c = 20
-2a -8c = -30
Add them together:
-5c = -10
c = 2
Now, we can plug in 2 as c to find the value of a:
2a + 3c = 20
2a + 3(2) = 20
2a + 6 = 20
2a = 14
a = 7
The solution is
The cost of one adult ticket = $ 7
The cost of one child ticket = $ 2
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of one adult ticket be = x
Let the cost of one child ticket be = y
Now , for Family 1 :
2 adults and 3 children and costs a total of £20 to enter the park
Substituting the values in the equation , we get
2x + 3y = 20 be equation (1)
Now , for Family 2 :
1 adult and 4 children and costs a total of £15 to enter the park
Substituting the values in the equation , we get
x + 4y = 15 be equation (2)
On simplifying the equations , we get
Multiply equation (2) by 2 , we get
2x + 8y = 30 be equation (3)
Subtracting equation (1) from equation (3) , we get
5y = 30 - 20
5y = 10
Divide by 5 on both sides of the equation , we get
y = 2
So , the cost of one child ticket is $ 2
Now , substituting the value of y in equation (2) , we get
x + 4y = 15
x + 4 ( 2 ) = 15
x + 8 = 15
Subtracting 8 on both sides of the equation , we get
x = 15 - 8
x = 7
So , the cost of one adult ticket is $ 7
Hence , the value of x is $ 7 and value of y is $ 2
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ5
Simplify: (sec θ + tan θ) x (1 – sin θ)
Answer:
cosθStep-by-step explanation:
Given the expression (sec θ + tan θ) x (1 – sin θ), to simplify he expression the following steps must be followed. First we must know that from trigonometry identity, secθ = 1/cos θ and tanθ = sinθ/cosθ
Substituting this foremulas in the expression we will have:
(sec θ + tan θ) x (1 – sin θ)
= (1/cosθ + sinθ/cosθ)* (1-sinθ)
= (1+sinθ/cosθ) *1-sinθ
= {(1+sinθ)(1-sinθ)/cosθ}
= (1-sinθ+sinθ-sin²θ)/cosθ
= 1-sin²θ/cosθ
Also, from pythagoras therorem, sin²θ+cos²θ = 1
cos²θ = 1-sin²θ
substituting cos²θ = 1-sin²θ into the final expression above we have:
1-sin²θ/cosθ = cos²θ/cosθ
= cosθ
(sec θ + tan θ) x (1 – sin θ) = cosθ
Can someone help me with this question please.
Answer: The total number of vehicles in the bar graph does not add up to 30.
The spacing between the bars should be equal.
It would be helpful to put the number of each type at the top of its bar.
It may be useful to give the location and time/date of the observation in the title of the graph.
Step-by-step explanation: The total 12 + 8 + 6 = 26.
My other observations would depend on the purpose of the graph. Many people use color to make the graph more visually appealing.
PLEASE HELP!!!
The model below represents 4x+(-4) -- 2x+8
What is the value of x when solving the equation 4x+(-4) --2x+8 using the algebra tiles?
X-2
Answer:
x=6
Step-by-step explanation:
4x-4=2x+8
Get all x's to one side. Subtract 2x from both sides.
2x-4=8
Isolate x. Add 4 to both sides.
2x=12
Divide both sides by 2 to get x.
12/2=6
x=6
Answer:
2 A.K.A. C. this answer is really late i think but for people in the future this is the answer lol
A game at the fair involves ping-pong balls numbered 1 to 18. You can win a prize if you correctly choose the 5 numbers that are randomly drawn. What are your chances of winning? The answer is 0.014, but i don't know how to get there.
Answer: 0.014
Step-by-step explanation: 5 divided by 18!
where is liner function has the greatest Y intercept
Answer:
y=3x+4
Step-by-step explanation:
the first graph the y intercept is -3
the second equation : y=3x+4
the y intercept is 4, when x-0 y=b=4 this one has the greatest y-intercept
1. Bailey withdrew $135 from her checking account. Write an algebraic expression that describes answer asap
Answer:
x - 135 where x is the money you have in your bank
Step-by-step explanation:
Answer:
X-135
Step-by-step explanation:
$135 from her checking account.=x
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is . For one performance, advance tickets and same-day tickets were sold. The total amount paid for the tickets was . What was the price of each kind of ticket
Answer:
Advance tickets=$25
Same-day tickets=$15
Step-by-step explanation:
Complete question below:
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $ 40. For one performance, 25 advance tickets and 30 same-day tickets were sold. The total amount paid for the tickets was $1075 . What was the price of each kind of ticket?
Let
advance tickets=x
Same-day tickets=y
Combined cost of advance and same-day tickets=$40
It means,
x+y=40 Equ (1)
25 advance tickets and 30 same-day tickets=$1075
It means,
25x+30y=1075 Equ(2)
From (1)
x+y=40
x=40-y
Substitute x=40-y into (2)
25x+30y=1075
25(40-y)+30y=1075
1000-25y+30y=1075
5y=1075-1000
5y=75
Divide both sides by 5
5y/5=75/5
y=15
Recall,
x+y=40
x+15=40
x=40-15
=25
x=25
Advance tickets=$25
Same-day tickets=$15
Check
25x+30y=1075
25(25)+30(15)=1075
625+450=1075
1075=1075
This service is NOT important when comparing banks: a: Debit card design. b:Hours of operation. c:Convenience of location. D:Monthly fees and minimum balance required.
Answer:
A.
Step-by-step explanation:
Debit card design really has nothing to do with banks but has to do with personal preference. If you are comparing banks, you would want to see when they are open, how much you would need to deposit to start an account, that kind of stuff.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
Step-by-step explanation:
a function is a relation from a set of inputs to possible output where each input is related ONLY to one output(x),
yes
yes
no
yes
ƒ(x) = -(-x), when x = -3?
Answer:
-3
Step-by-step explanation:
Substitute negative 3 as x and you get this -(--3). Then the two negatives make a positive and it's -(3) which becomes -3.
find the solution(s) to x^2-12x+36=0
Answer:
x = 6
Step-by-step explanation:
x² - 12x + 36 = 0
(x - 6)² = 0
x - 6 = 0
x = 6
Hope this helps! :)
Answer:
x = 6
Step-by-step explanation:
x² - 12x + 36 = 0
Factor left side.
(x - 6)² = 0
Set factor equal to 0.
x - 6 = 0
x = 6
Please help me to solve this question.
Answer:
[tex]314 \frac{2}{7} cm^{2} [/tex]
Step-by-step explanation:
Surface area of sphere= 4πr², where r is the radius of the sphere.
Given that the diameter is 10cm,
2(radius)= 10cm
radius= 10 ÷2
radius= 5cm
Surface area of sphere
[tex] = 4( \frac{22}{7} )( {5}^{2} ) \\ = 314 \frac{2}{7} cm^{2} [/tex]
It is given that and are right angles, and . Since they contain right angles, ΔABR and ΔACR are right triangles. The right triangles share hypotenuse , and reflexive property justifies that . Since and , the transitive property justifies . Now, the hypotenuse and leg of right ΔABR is congruent to the hypotenuse and the leg of right ΔACR, so by the HL congruence postulate. Therefore, ________ by CPCTC, and bisects by the definition of bisector.
THIS IS THE COMPLETE QUESTION BELOW;
Complete the paragraph proof. Given: ∠ABR and ∠ACR are right angles AB ≅ BC BC ≅ AC Prove: bisects ∠BAC
It is given that ∠ABR and ∠ACR are right angles, AB ≅ BC and BC ≅ AC Since they contain right angles, △ABR and △ACR are right triangles. The right triangles share hypotenuse AR, and reflexive property justifies that AR ≅ AR. Since AB ≅ BC and BC ≅ AC, the transitive property justifies AB ≅ AC. Now, the hypotenuse and leg of right △ABR is congruent to the hypotenuse and the leg of right △ACR, so △ABR ≅ △ACR by the HL congruence postulate. Therefore, by CPCTC, and bisects ∠BAC by the definition of bisector.
Answer:
The answer is ∠BAR=∠CAR
Step-by-step explanation:
From the question, In the ΔABR and ΔACR , AB=AC=X
CHECK THE ATTACHMENT FOR DETAILED STEP BY STEP EXPLANATION:
Answer:
A) <BAR = <CAR
Step-by-step explanation:
Edge
Use the graph to complete the given statements. Enter the letters A, B, C, or D in the boxes.
The function with the lowest output values as x approaches infinity is _. The function with the greatest output values as x approaches infinity is _.
The function with the lowest output values as x approaches infinity is A.
The function with the greatest output values as x approaches infinity is B
Question 14 PLEASE HELP Find the y-intercept of -x +2y=10
Answer:
Hey there!
-x+2y=10
2y=x+10
y=1/2x+5
Thus, the y intercept is 5.
Hope this helps!
Answer:
(0,5)
Step-by-step explanation:
-x+2y=10
2y = x+10
y= (1/2)*x+ 5
The y-intercept is the number we add in the end of the equation wich is here (0,5)
PLEASE HELP ASAP FOR ALGEBRA 1 Mr Reder has just robbed a bank and is trying to escape on foot. He is currently 3 miles from the bank and running at 5 miles per hour. Write an equation to model how far from the bank Mr Reder is after a certain amount of time has passed. How far has he gone after 3 hours? Draw an appropriate graph for this equation.
Answer:
He has ran 15 miles and passed the bank 12 miles from his location where he is at.
Step-by-step explanation:
WHY WAS HE ROBBING A BANK?????????
Answer:
Step-by-step explanation:
His distance from the bank can be modeled using an equation in the form y=mx+b. Since he has already ran 3 miles, the "b" is equal to 3, and can be added to how many miles he runs on from now on. If he can run 5 miles per hour, then that means every hour, he will run 5 miles. We can represent how many hours have passed as x. This would make our equation y=5x+3.
After 3 hours he has gone 5(3)+3 miles, or 18 miles
what is the solution for a + 5 and two-thirds = 9
Answer:
a = 10/3
Step-by-step explanation:
Step 1: Convert to improper fraction
a + 17/3 = 9
Step 2: Subtract 17/3 on both sides
a = 10/3
Solve for x -8x+44≥60 and -4x+50<58 Thanks! :)
Answer:
Step-by-step explanation:
- 8x + 44 ≥ 60
Subtract 44 from both sides
- 8x + 44 - 44 ≥ 60 - 44
- 8x ≥ 16
Divide both sides by -8 and flip the inequality sign
-8x/-8 ≤ 16/-8
x ≤ -2
x = { ......... -4,-3,-2}
2) -4x + 50 < 58
Subtract 50from both sides
-4x + 50 -50 < 58- 50
-4x < 8
Divide both sides by -4 and flip the inequality sign
-4x/-4 > 8/-4
x > -2
x= {-1, 0 , 1 , 2....... }
Answer:
1. [tex]x \leqslant - 2[/tex] 2. [tex]x \: > 2[/tex]Step-by-step explanation:
1. [tex] - 8x + 44 \geqslant 60[/tex]
Move constant to R.H.S and change its sign
[tex] - 8x \geqslant 66 - 44[/tex]
Subtract the numbers
[tex] - 8x \geqslant 16[/tex]
Divide both sides of the inequality by -8 and flip the inequality sign
[tex]x \leqslant - 2[/tex]
2. [tex] - 4x + 50 < 58[/tex]
Move constant to the R.H.S and change its sign
[tex] - 4x < 58 - 50[/tex]
Subtract the numbers
[tex] - 4x < 8[/tex]
Divide both sides of the inequality by - 4 and flip the inequality sign
[tex]x > - 2[/tex]
Hope this helps...
Best regards!!
Write a detailed paragraph answering the following: 'Belief in life after death doesn’t make sense in our modern world’ Evaluate this statement. Write one paragraph arguing for or against this statement, keeping to Point Evidence Explain
Answer:
It seems impossible to figure out what comes after death, since none of us can return from the other side of that curtain, nor can we interview those who have already died.Yet belief in life after death is both timeless and global. Almost every culture believes in an afterlife. Belief in life after death runs especially high in non-Western countries, but even in America it runs as high as 75 percent. Only in parts of Asia and Europe is belief in an afterlife an uncommon view. Atheists who deny both God and an afterlife may be vastly outnumbered, but they think they occupy the intellectual high ground on this question. That's because religious believers typically affirm the afterlife on the basis of faith, while atheists regard themselves as denying it on the basis of science and reason.
Frank is going to an amusement park that costs $36.00 for admission. Treats cost $4.00 each. Frank does not want to spend more than $52.00 in all.
Solve for x, where x equals the number of $4.00 treats Frank can buy.
A. x=3
B. x>4
C. x≤4
D. x<14
Answer:
B: x>4
Step-by-step explanation:
You want to make an inequality first:
36+4x>52
4x + 36 − 36 > 52−36
4x > 16
4x ÷ 4 > 16 ÷ 4
x > 4
HELP ASAP Linear Relations Question
Answer:
8.8
Step-by-step explanation:
set up a system
let x be sour keys and y be chocolate bars
2.65=15x+2y
3.35=10x+3y
then solve
X turns out to be 0.05
y turns out to be 0.95
multiply : 24*0.05=1.2
multiply : 0.95*8=7.6
add : 1.2+7.6 = 8.8
An equation of the form 2x4 + 3x3 – 7x2 + 3x – 2 = 0 is called a/an ____________ equation.
Answer:
Polynomial Equation(fourth degree polynomial)
Step-by-step explanation:
A fourth degree polynomial equation is written in the form
ax^4 + bx^3 + cx^2 + dx + e=0
Just as written in the question
2x4 + 3x3 – 7x2 + 3x – 2 = 0
From the question:
a=2
b=3
c= -7
d=3
e= -2
Fourth degree polynomial equation are also known as QUARTIC POLYNOMIAL.
They have the following characteristics:
1. Zero to four roots.
2. No general symmetry.
3. 0ne,two or three extrema.
4. Roots are solved by radicals.
At a certain car rental company, it costs $39.95 per day and $0.06 cents per mile to rent a car. How much would it cost to rent a car for 2 days and drive 150 miles?
Answer: $88.90
Step-by-step explanation:
$39.95 x 2 + 0.06 x 150
Please help me answer these two! I’m terrible at maths
Sorry about the screen it’s on my laptop
Answer:
£54 and 168.75 mins
Step-by-step explanation:
x+2y=-6
y= -1/2 - 3
name the solution to the system of linear equations
Answer:
Infinite Amount of Solutions
(1, -3.5) - 2nd Option
Step-by-step explanation:
If your systems of equations is:
x + 2y = -6
y = -1/2x - 3
Then when you put the first equation in slope intercept form, you get the exact same 2 lines. Therefore, our answer is Infinite amount of solutions.
If you systems of equations is:
x+ 2y = -6
y = -1/2 - 3
We find where the 2 graphs intersect. Therefore, our answer is (1, -3.5)
⇒Answer:
(1,-3.5)
⇒Step-by-step explanation:
Well to find the solution we need to do the following
Steps,
_______________________
Substitute y
Combine like terms
Sperearte x
When x is found substitute
Combine like terms
Single out y
_______________________
x + 2(-1/2x - 3) = -6
x - 1 - 6 = -6
x - 7 = -6
x = 1
y = -1/2(1) - 3
y = -1/2 - 3
y = -3.5
____________
Answer:
(1,-3.5)
Which statements are true regarding the diagram? Check all that apply.
The side opposite the 60° angle has a length of
The side opposite the 60° angle has a length of .
sin(60°) =
sin(60°) =
The other acute angle of the triangle is 30°.
Answer:
A. The side opposite the 60° angle has a length of √3/2
C.Sin(60°)=√3/2
E.The other acute angle of the triangle is 30°
Step-by-step explanation:
The diagram has been attached to the answer
A. The side opposite the 60° angle has a length of
B. The side opposite the 60° angle has a length of .
C. sin(60°) =
D. sin(60°) =
E. The other acute angle of the triangle is 30°.
Answer
The side opposite the 60° angle has a length of the square root of 3/2
Opposite side of the 60° angle has a length of √3/2
sin(60°) = the square root of 3/2
Sin(60°)=√3/2
The other acute angle of the triangle is 30°
Proof:
Total angle in a triangle=180°
180°-60°-90°
=30°
Answer:
A, D, E
Step-by-step explanation:
I do is big smart