Answer:
The solution of the given inequality x>9
Step-by-step explanation:
Explanation:-
Given that the inequality 31 < 3 x + 4
Subtracting '4' on both sides, we get
31 - 4 < 3 x + 4 -4
⇒ 2 7 < 3 x
Dividing '3' on both sides, we get
⇒ 9 < x
x > 9
PLSSS HELP!! I'LL GIVE BRAINLIEST IF RIGHT Which is the equation of a parabola with a directrix at y = 2 and a focus at (5, 0). A) y = one fourth(x − 5)2 + 1 B) y = one fourth(x + 1)2 − 5 C) y = −one fourth(x + 1)2 − 5 d) y = −one fourth(x − 5)2 + 1
Answer:
The answer is below
Step-by-step explanation:
A parabola is the locus of a point such that its distance from a given line (directrix) and a fixed point (focus) is always the same.
The equation of a parabola with a horizontal line as directrix is given by:
(x - h)² = 4p(y - k)
where y = k - p is the directrix and the focus = (h, k + p)
Given that parabola has a directrix at y = 2 and a focus at (5, 0)
Therefore:
y = k - p
k - p = 2 (1)
focus = (h, k + p) = (5, 0)
h = 5, k + p = 0
k + p = 0 (2)
Solve equation 1 and 2 simultaneously by adding both equations together:
2k = 2
k = 1
Substitute k = 1 in k + p = 0 to find p:
1 + p = 0
p = -1
Therefore h = 5, p = -1 and k = 1
Substitute the values of h, k and p into the equation of a parabola:
(x - h)² = 4p(y - k)
(x - 5)² = 4(-1)(y - 1)
(x - 5)² = -4(y - 1)
x² - 10x + 25 = -4y + 4
-4y = x² - 10x + 21
4y = 10x - x² - 21
The following table represents the total cost, C, for renting a car from Joe's car rentals for
number of days, d.
Determine if the Slope (Rate of Change) is constant. Find the y-intercept for the situation
(Show ALL your Work)
When renting a car, Rent-For-Less charges $50 for a deposit and $1.25 per mile. Cheap
Rides charges $1.30 per mile and a $40 deposit. At what number of miles will the costs
be equivalent?
Answer:
200miles
Step-by-step explanation:
Given data
Rent-For-Less
charges $50 for a deposit and $1.25 per mile
let the number of miles be x
and the total distance be y
y=50+1.25x-------------1
Cheap Rides
charges $1.30 per mile and a $40 deposit
y=40+1.30x-------------2
Equate 1 and 2 above we have
50+1.25x=40+1.30x
collect liker terms
50-40= 1.3x-1.25x
10=0.05x
divide both side by 0.05
x= 10/0.05
x=200 miles
Hence the distance in miles is 200miles
How much is the ENDING Balance... $5,000 at 4% for 2 years?
Answer:
($5000 x 4% ) * 2 = $400
The ending balance : $5000 + $400 = $5400
Step-by-step explanation:
Samantha buys a shirt that costs $28.50. She uses a
30% coupon. What will Samantha pay for the shirt?
How many different sets of two-letter initials can you make using the letters D, G, M, S, and T if you can use each letter only once in a set?
Answer:
20
Step-by-step explanation:
use ur head
DG, DM, DS, DT GD, GM, GS, GT MD, MG, MS, MT, SD, SG, SM, ST, TD, TG, TM, TS. Those are all the possible combinations using each letter only once in each set.
In short, you can make 20 sets.
Sue washes 25 cars in 5 hours. This means Sue washes cars per hour
Answer:
she washes 5 cars per hour
Answer:
Sue washes 5 cars an hour
Step-by-step explanation:
25/5 = 5 cars an hour
A plumbing company charges a $95 fee for each job, plus $65 foreach hour that the job lasts. The expression 65h + 95can be used to calculate the cost of a job in dollars, where hrepresents the number of hours the job takes to complete. Part A.What is the cost of a job that lasts 1.5 hours?
Answer:160
Step-by-step explanation:
Carrie has 4 pans of brownies. If she wants to divide each pan into
tenths, how many brownies will she have in all?
Answer:
40
Step-by-step explanation:
4 times 10 equals 40
i news more sownfjdhe
To Do, I-Re..
Student Portal - PU...
AADE and ABC are similar. Which best explains why the slope of the line between
points A and D is the same as the slope between points A and B?
Answer:
I did this test a while ago I chose A and it was right I beleieve.
Step-by-step :
On a math test a student,sarah , has to identify all the coefficients and constants of the expression 5b + m + 3 . says that 5 is a coefficient and 3 is a constant. Identify all the coefficients and constants of the expression. What error might sarah have made?
find the missing side length
Thomas and Tina share a cake. Thomas eats 12.5% of the cake. Tina eats
2
176 of the cake. The fraction of cake remaining is "b/c". What is the value of
b? *
Your answer
This is a required question
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If a total of 20 cups of onions and carrots were used, how many batches did the chef make
Answer:
if your considering 1 each, 20.
Step-by-step explanation:
1 goes into 20,20 times
although....its 2021 now so I dont know (answer: 20).
Answer:
20
Step-by-step explanation:
Solve each linear equation for x. (A) –12x + 9 = –15x x = (B) 4.5x + 11.5 = 8.5x + 3.5 x = (C) 23x – 9 = 13x x =
Answer:
A. x = -3
B. x = 2
C. x = 9/10
Step-by-step explanation:
(A) –12x + 9 = –15x
Collect like terms
9 = -15x + 12x
9 = -3x
x = 9 / -3
x = -3
(B) 4.5x + 11.5 = 8.5x + 3.5
4.5x - 8.5x = 3.5 - 11.5
-4x = -8
x = -8 / -4
x = 2
(C) 23x – 9 = 13x
-9 = 13x - 23x
-9 = -10x
x = -9 / -10
x = 9/10
Answer:
A) x= -3
B) x = -2
C) x = 27
Explanation: I did the lesson
What a deal! Just deShirts is having a 20% off sale. Trixie rushes to the store and buys 14 shirts. When the clerk rings up her purchases, Trixie sees that the clerk has added the 5% sales tax first, before taking the discount. Trixie wonders whether adding the sales tax before the discount makes her final cost more than adding the sales tax after the discount. Without making any calculations, make a conjecture. Is Trixie getting charged more when the clerk adds sales tax first? The next few problems will help you figure it out for sure.
Does it matter if sales tax is added before the discount or after her final total? (Yes or no AND why or why not?)
Answer:
no because she would get the same total if she added it before or after
Step-by-step explanation:
what is the variable in this expression 4m +17
Answer:
m
Step-by-step explanation:
Which statement is a counter example to the statement.
If
Answer:
Any scalene quadrilateral will serve as a counterexample. For a conditional (if-then) statement, a counterexample must be an instance which satisfies the hypothesis , but not the conclusion .
Step-by-step explanation:
A store purchases a bicycle from the manufacturer for $150. The store then sells the bicycle for $215. By what percentage did the store mark up the bicycle?
Answer:
it marked the bike up by 69 percent
Step-by-step explanation:
Larry bought 4 pounds of jelly beans for $6. What is the unit rate?
Answer:
Unit rate is 1.5
Step-by-step explanation:
4 pounds = $6
Divide 6 by 4 = 1.5
Check: 4 * 1.5 = 6
Hence,
1 pound = $1.5
Hope this helps :)
2950 - 125 - 50 =
I dont resly understand
Answer:
[tex]2950 - 125 - 50 \\ = 2950 - (125 + 50) \\ = 2950 - 175 \\ = \boxed{2775}[/tex]
2775 is the right answer.Southern Florida has a mild climate. Which statement about the probability of snow in June in southern Florida is most likely true? Help plz❣︎
Answer:
The probability of snow is about 0.75
Step-by-step explanation:
IF YOU WANT BRAINLIEST I NEED A LITTLE FAVOR :)
Answer:
180-(67+52)
Step-by-step explanation:
angles on a straight line add up to 180 degress
3. If you buy a new car for $6,000 which depreciates at 4%/year,
what will the value be after 3 years?
Answer:
$5,308.42
Step-by-step explanation:
(see attached for reference)
recall that the formula for Depreciation
is given by
A = P ( 1 - r)^t,
where
A = final amount
P = principal amount = given as $6,000
r = depreciation rate = given as 4% = 0.04
t = time in years = given as 3,
Simply substitute these into the equation to get:
A = P ( 1 - r)^t
= 6000( 1 - 0.04) ^ 3
= 6000 (0.96)^3
= $5,308.42
In ΔIJK, k = 59 cm, i = 80 cm and ∠J=106°. Find the length of j, to the nearest centimeter.
Answer:
112 cm.
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Cosine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:
[tex]a^2=b^2+c^2-2bc*cos(A)[/tex]
In triangle IJK:
We can find the length of j using cosine rule:
[tex]j^2=k^2+i^2-2ik*cos(J)\\\\substituting:\\\\j^2=59^2+80^2-2(80)(59)cos(106)\\\\j^2=3481+6400-(-2602)\\\\j^2=3481+6400+2602\\\\j^2=12483\\\\j=\sqrt{12483} \\\\j=112\ cm[/tex]
16. In the figure below, lines A and B are parallel.
Answer:
the angle measurement is 75
Step-by-step explanation:
1 - 5x = -5x + 1
Help pls solve for x
Answer:
x can be all real numbers
Step-by-step explanation:
1 - 5x = -5x + 1
-5x+5x=1-1
0=0
Answer:
1/10
Step-by-step explanation:
5x=-5x+1
Move the variable to the left hand and change its sign
5x+5x=1
10x=1
x=1/10
Elijah is planning a circular flower garden with a 12 foot diameter. He will put plastic edging along the flowerbed. How many feet of edging will Elijah need to enclose his flower garden? Round to the nearest tenth place. (Use 3.14 for π)
Answer:
[tex]37.7\ \text{foot}[/tex]
Step-by-step explanation:
The length of the edging will be equal to the circumference of the circular flower garden.
Here, the diameter of the circular garden is [tex]d=12\ \text{foot}[/tex]
Circumference of a circle is given by
[tex]C=\pi d\\\Rightarrow C=3.14\times 12\\\Rightarrow C=37.68\approx 37.7\ \text{foot}[/tex]
The length of the edging is [tex]37.7\ \text{foot}[/tex].
whats -4 (x - 5) = 40
Answer:
x=-5
Step-by-step explanation:
-4(x-5)=40
-4x+20=40
-4x=40-20
x=20/-4
x=-5
Which of the following values are solutions to the inequality - 8 - 3x > 2?
I. – 2
II. – 12
III. 5
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
X< -10/3
Interval Notation:
(-∞, - 10/3)
Hope this is right :)