Answers
Answer:
150 milesStep-by-step explanation:
Rent amount per x miles
Company A
90 + 0.2xCompany B
60 +0.4xFinding the value of x
90 + 0.2x = 60 + 0.4x0.4x - 0.2x = 90 - 600.2x = 30x = 30/0.2x = 150 milesRelated Questions
2.
1. Which of the following translations is needed to
carry preimage ARST to its image AR'S'T'?
Ay
5
SY
7
-5
5
R'
1
R
-
ロロロ
A (x,y) → (x +3, y + 4)
B (x,y) → (x - 4, y + 3)
C (x,y) → (x + 5, y + 3)
D (x,y) → (x-5, y - 3)
-
Need help
Answers
Answer:
B
Step-by-step explanation:
consider the coordinates of T and T'
T (1, - 2 ) and T' (- 3, 1 )
1 → - 3 in the x- direction is - 4
- 2 → 1 in the y- direction is + 3
then the translation rule is (x, y ) → (x - 4, y + 3 )
Given the definitions of f(x) and g(x) below, find the value of g(f(0))
f(x)= -x+9
g(x)=x^2 - 6x+9
Answers
Answer:
The value of g(f(0)) is 36
Step-by-step explanation:
g(f(x)) is a composite function, where f(x) is the value of x in g(x), which means substitute x in g(x) by f(x)
Let us use this rule to solve our question
∵ f(x) = -x + 9
∵ g(x) = x² - 6x + 9
→ Substitute x in g by f
∵g(f(x)) = g(-x + 9)
∴ g(f(x)) = (-x + 9)² - 6(-x + 9) + 9
→ Let us simplify it
∵ (-x + 9)² = (-x)(-x) + (-x)(9) + (9)(-x) + (9)(9)
∴ (-x + 9)² = x² + -9x + -9x + 81
→ Add the like terms (-9x + -9x)
∴ (-x + 9)² = x² + -18x + 81
→ Remember (+)(-) = (-)
∴ (-x + 9)² = x² - 18x + 81
∵ - 6(-x + 9) = -6(-x) + (-6)(9)
∴ - 6(-x + 9) = 6x + -54
∴ - 6(-x + 9) = 6x - 54
→ Substitute them in g(f(x))
∴ g(f(x)) = x² - 18x + 81 + 6x - 54 + 9
→ Add the like terms
∴ g(f(x)) = x² + (-18x + 6x) + (81 -54 + 9)
∴ g(f(x)) = x² + (-12x) + (36)
∴ g(f(x)) = x² - 12x + 36
→ Now substitute x by 0
∴ g(f(0)) = (0)² - 12(0) + 36
∴ g(f(0)) = 0 - 0 + 36
∴ g(f(0)) = 36
There is an easy way to find it quickly
Substitute x in f by 0
f(0) = -(0) + 9
f(0) = 9
Substitute x in g by 9
Find g(9)
g(9) = (9)² - 6(9) + 9
g(9) = 81 - 54 + 9
g(9) = 36
what is y=-2/3x+5/3 in point-slope form
Answers
Answer:
This is form as y=mx+c, where m is slope line, c is y- intercept
so by comparain
m=-2/3
If the perimeter of a rectangular room of 5 m high is 26 m, what will be the area of four walls of the room?
Answers
Or,26=2(l+b)
Or,l+b=26/2
.
. .l+b=13
Now,
Area of 4 walls=2h(l+b)
=2*5(13)
=130
A photograph is enlarged to three times the size of the original. Which of the following statements is true? A. The area of the enlargement is three times the area of the original. B. The area of the enlargement is six times the area of the original. C. The area of the enlargement is nine times the area of the original. D. The area of the enlargement is twelve times the area of the original.
Answers
Answer:
A.
Step-by-step explanation:
Enrique is selling a drop leaf table and wants to include the area of the table when the leaves are down is his ad.
What is the area of the center section when the leaves are down? Explain how you found your answer. HELPPP
Answers
Answer:
drop-leaves 38 in "U SE 22 1 19 0 o Let the center of the table be O and the chord of length 38 in.be AB Drop a perpendicular from to AB meeting it at C. Since the diameter of the circle is 44 in., the radius of the circle must be 22 in. and thus, OA= = in. By the definition of the sine function, AC sin 500-Twice that gives ZAOB, so the area of OA sector AOB is about in and the area of AAOB is 1 OA. OB sin 20-in? Subtracting the area of the triangle from the area of the sector shows that the area of the segment bounded by chord AB is about in (Type integers or decimals rounded to four decimal places as needed.) 19 22 B 2
Step-by-step explanation: i really hope this is what your looking for, and helps!! love you have an amazing day:)) -marina mae
The area of the center section when the leaves are down is evaluated being of 932.84 in.²
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
The simplified figure is attached below.
We need to find the area PQRS.
Area(PQRS) = 4(Area(DOQ) + Area(QOB)) (by symmetry.
The line OD and OT are perpendiculars on those 38 inch chords, and therefore D and T are bisecting them(by a theorem that perpendicular from center of a circle to its chords bisect them).
Finding Area of DOQ:Using Pythagoras theorem, we get:
[tex]|DO| = \sqrt{|OQ|^2 -|DQ|^2 } = \sqrt{22^2 - 19^2} = \sqrt{123}[/tex]
Thus, we get:
[tex]\text{Area DOQ} = \dfrac{1}{2} \times 19 \times \sqrt{123} \approx 105.36 \: \rm in^2[/tex]
Finding Area of QOB:Since angle ∠DQO and ∠QOB are alternate interior angle, they are of same measure.
From triangle DOQ, from the perspective of ∠DQO, we get the sine ration as:
[tex]\sin(m\angle DQO) = \dfrac{|DO|}{|OQ|}\\m\angle DOQ = \sin^{-1}\left( \dfrac{\sqrt{123}}{22}\right) \approx 30.27^\circ \: \text{(chose acute angle)}[/tex]
Thus, we get:
[tex]m\angle QOB \approx 30.27^\circ[/tex]
360 degrees cover full area of circle,
1 degree will cover full area /360 of the circle
Thus, we get:
Aera of the sector QOB = Area covered by central angle ∠QOB[tex]\approx 30.27 \times \dfrac{\pi (22)^2}{360} \approx 127.85 \: \rm in^2[/tex]
Thus, as we have:
Area(PQRS) = 4(Area(DOQ) + Area(QOB))
we get:
Area(PQRS) ≈ 4(105.36 + 127.85) ≈ 932.84 in.²
Thus, the area of the center section when the leaves are down is evaluated being of 932.84 in.²
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
Which equation for g(x) represents the transformation of f(x) given that f(x) =x^2
g(x) = f(x) shifted right 2 units
Help!!
Answers
Answer:
g(x) = (x - 2)²
Step-by-step explanation:
If we want to shift a function to the right, we subtract the number we are asked to move to the right inside the function's argument:
⇒ To shift f(x) b units to right → f(x - b)
Similarly, in function notation, if we want to shift a function to the left, we add the number we are asked to move to the left inside the function's argument:
⇒ To shift f(x) b units to left → f(x + b)
Given function f(x) = x²
Shift 2 units to the right: f(x - 2) = (x - 2)²
Therefore, g(x) = (x - 2)²
----------------------------------------------------------------------
Additional info:
g(x) = (x - 2)²
= (x - 2)(x - 2)
= x² - 4x + 4
which of the following it true about √3x2
pls i need help its due tonight and i cant turn it in late bc my nine weeks will be over help pls
Answers
Answer:
B)
Step-by-step explanation:
Rational number: can be expressed as a ratio of two integersIrrational number: cannot be expressed as a ratio of two integers[tex]\textsf{2 is a rational number as }2=\dfrac21[/tex]
[tex]\sqrt{3} \textsf{ is an irrational number}[/tex]
[tex]2\sqrt{3} \textsf{ is an irrational number}[/tex]
Find the value of x.
E
D
51°
G
(14x – 38)
F
Answers
Answer: 10
Step-by-step explanation:
Answer:
x=10
Step-by-step explanation:
On the track and field team, 38 of the members do the hurdles.
Of the members who do the hurdles, 45 also do the long jump.
If there are 40 members on the track team, how many do both the hurdles and the long jump?
Enter your answer in the box.
Answers
Answer:
your answer would be seven
PLEASE HELP
find area
Answers
Answer:
35.5?
Step-by-step explanation:
I am not 100 % but this is the answer I got
The greatest common factor of each term in the expression 60 a b minus 72 b is 12b. Which choice shows the expression written as a product?
12 b (5 a b minus 6 b)
12 b (5 a minus 6)
12 b (48 a minus 60)
12 b (48 a b minus 60 b)
Answers
Answer:
B--- 12 b (5 a minus 6)
Step-by-step explanation:
i took the quiz (edge 2021)
Which expression is equal to 3x? (1 point)
x + 3
x + x + x
x + x2
2x + 1
Answers
Answer:
x + x + x
Step-by-step explanation:
x + 3 can't be combined as they are two different terms
x + x + x = 3x (works)
x + x² can't be combined as they have different exponents
2x + 1 can't be combined as they are two different terms
A nonagon has angles that measure 150°, 130°, 130°, 150°, 140°, 140°, 150°, 130°, and d. What is d?
Answers
Answer:
d = 140°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
a nonagon has 9 sides , then
sum = 180° × 7 = 1260°
sum the angles and equate to 1260
150° + 130° + 130° + 150° + 140° + 140° + 150° + 130° + d = 1260°, that is
1120° + d = 1260° ( subtract 1120° from both sides )
d = 140°
Mr. steiner purchased a car for about $14,000. assuming his loan was
compounded monthly at an interest rate of 4.9% for 72 months:
p=
r=
n=
t=
a. how much will he have paid total?
b. how much more did he pay than the price of the car?
Answers
Using compound interest, it is found that:
a) He will have paid $18,774 in total.
b) He paid $4,774 more than the price of the car.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem, the parameters are:
[tex]P = 14000, r = 0.049, n = 12, t = \frac{72}{12} = 6[/tex].
Item a:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(6) = 14000\left(1 + \frac{0.049}{12}\right)^{12 \times 6}[/tex]
[tex]A(6) = 18774[/tex]
He will have paid $18,774 in total.
Item b:
18774 - 14000 = $4,774.
He paid $4,774 more than the price of the car.
More can be learned about compound interest at https://brainly.com/question/25781328
how to do 630 divided by 8
Answers
Answer:
Use long division to get the answer of 78.75
Step-by-step explanation:
long division ends with this answer, ➗
If a Realtor helps a family purchase a $160,000 house, and they earn a 3.5%
commission, how much will they earn from the sale of that house?
Answers
Answer:
5600
Step-by-step explanation:
160000 x 0.035= 5600
Which of the following statements correctly uses the distributive property?
-2(15 - 3) = -2(15) + (-2)(3)
7(9 - 8) = 7(9) - 8
9(-7 + 6) = 9(-7) + 9(6)
-3(12 + 5) = -3(12) - (-3)(5)
Answers
Multiply the number outside the parentheses by each number inside.
Remember a negative x a negative becomes positive. A negative x a positive is negative.
The correct one is 9(-7 + 6) = 9(-7) + 9(6)
Answer:
The correct one would be 9(-7 + 6) = 9(-7) + 9(6)
Step-by-step explanation:
What is the surface area of this figure?
Answers
Answer:
582 ft²
Step-by-step explanation:
Area of a triangle = 1/2 x base x height
Area of a rectangle = width x length
Surface area = (5 x 15) + 2(15 x 8) + 2(5 x 8) + (15 - 11) x 5 + 2(1/2 x 11 x 7) + 2(9 x 5)
= 75 + 240 + 80 + 20 + 77 + 90
= 582 ft²
Answer: 582 ft
Step-by-step explanation: i took the test
Brianna graphed the equations y=2x+3.5 and y=2.5x−1 below and said the lines on the graph below are parallel and do not intersect, so the system has no solution. Is Brianna correct? Select the answer option that best explains why or why not.
PLEASE HELP URGENT
Answers
Answer:
Disagree because the slopes are different.
Step-by-step explanation:
When an equation is in y=mx+b form, answering these kinds of questions becomes easier. "M" is your slope, so if m for both equations match, then your lines will be parallel. This one shows the first equation as 2/1, so you would rise 2 and run 1. but the second is 2.5 or 5/2, so you would rise 5 and run 2. rise meaning y-axis and run being the x-axis. Whenever possible, I turn equations to the y=mx+b form because it makes everything a bit clearer, in my opinion.
Three side lenghts of 5.2,6.3, and 10.5 units will form exactly one unique triangle
Answers
True, the three sides will form exactly one unique triangle.
What is a triangle?A triangle is three dimensional shape, whose third length is less than the sum of the first and second length.
let the first length = alet the second length = blet the third length = k(b - a) < k < (b + a)
(6.3 - 5.2 ) < k (6.3 + 5.2 )
1.1 units < k < 11.5 units
The third length = 10.5 units which is greater than 1.1 units and less than 11.5 units.
Thus, the three sides will form exactly one unique triangle.
Learn more about conditions of a triangle here: https://brainly.com/question/22674890
Please just answer 14 please.
Answers
Answer:
length needs to be >10
Step-by-step explanation:
If we put 10 as the length as 10 it would equate to 50 square inches
but the question asks for greater than 50
therefore the length needs to be more than 10
please help me with problem 1 and 2 please and thanks.!
Answers
Answer:
ya no
Step-by-step explanation:
Answer:
Step-by-step explanation:
are you showing the entire question because that actually makes no sense
will give brainliest
Answers
Answer:
third quadrant
Step-by-step explanation:
Under a clockwise rotation about the origin of 180°
a point in the first quadrant ( x, y ) → (- x, - y ) ← in the third quadrant
Find the value of x
need help asap pls
will give brainliest
Answers
Answer: 10
Step-by-step explanation:
point p is on a unit circle. Solve for the coordinates of p
Answers
Answer:
I'm sorry I don't know how to do this but when I do i'll tell u :)
Step-by-step explanation:
is this true or false
Answers
Step-by-step explanation:
im not really sure because there is no question
2. Describe your strategy for finding the area that needs to be painted. (2 points)
3. Find the area of each shape. Use 3.14 for π. (4 points)
4. What is the total area to be painted? (2 points)
Answers
Answer:
2. do part 3, then subtract area not painted from the overall area
3. triangle: 16 ft²; semicircle: 6.28 ft²; rectangle: 48 ft²
4. 57.72 ft²
Step-by-step explanation:
2.The area that needs to be painted can be found by determining the overall area of the shape and subtracting the area that is not painted.
__
3.The area of the triangle is given by the formula:
A = 1/2bh
A = 1/2(8 ft)(4 ft) = 16 ft²
The area of the semicircle is ...
A = 1/2πr²
A = 1/2(3.14)(2 ft)² = 6.28 ft²
The area of the rectangle is ...
A = bh
A = (8 ft)(6 ft) = 48 ft²
__
4.The triangle and rectangle are painted. They constitute the overall shape of the set piece. The semicircular window is a hole, so does not need to be painted. Then the painted area is ...
triangle area + rectangle area - semicircle area
= 16 ft² +48 ft² -6.28 ft² = 57.72 ft² . . . painted area
helpp 50 points
What must be true for lines a and b to be parallel lines? Select two options.
Answers
Answer:
The two answers that you have are correct: m<1=(4x-10) and m<2=58
Step-by-step explanation:
Answer:
A & B
mAngle1 = (4 x minus 10) degrees
mAngle2 = 58Degrees
Step-by-step explanation:
I GOT ONE QUESTION WRONG ON THE QUIZ BUT IT WASNT THIS ONE SO WOO
In a list of seven consecutive numbers a quarter of the smallest number is five less than a third of the largest number. If x is the smallest number, find expressions for:
a) “a quarter of the smallest number”
b) “five less than a third of the largest number”
Answers
Please see the solution.
Step-by-step explanation:[tex]Since\ x\ is\ the\ smavest\ number,\\ the\ Cavgent\ number\ equals\ to\ x+6.[/tex]
[tex]a)\frac{1}{4}x[/tex]
[tex]b)\frac{1}{3}(x+6)-5=\frac{1}{3}x+2-5=\frac{1}{3}x-3[/tex]
I hope this helps you
:)