Answer:
where is the question
have a good day :)
Step-by-step explanation:
Which is a factor of x2 + 5x – 24?
(x - 6)
(x + 6)
(x - 8)
(x + 8)
Answer:
(x + 8)
Step-by-step explanation:
If you factor x2 + 5x – 24 using the AC method, it equals (x - 3) and (x + 8).
Answer:
D on edge :)
Step-by-step explanation:
Hudson is having his car repaired. The mechanic said it would cost at least $425 for parts
and labor. The cost of the parts was $200 and the mechanic charges $75 per hour for
labor. Write and solve an inequality to find how many hours the mechanic plans to work on
the car. Interpret the solution.
Answer:
The correct answer is - 3 hours.
Step-by-step explanation:
Given:
Price of parts: $200
Price of labor: $75/hour
Total cost: $425
Solution:
Let x = x of hours work done on the car
The inequality can be represented as:
425 = 75x + 200
Solving this inequality, we find that
225 =75x
or
x = 3
Thus, It means that the mechanic will take at least 3 hrs to work on his car.
Precalculus continuity problem, use the 3 step definition of continuity to discuss the continuity (question is for jimthompson5910)
As the name implies, there are 3 parts or conditions that must be held true in order for the function to be continuous at x = a.
Those three conditions are:
f(a) existsThe limit [tex]\displaystyle \lim_{x\to a} f(x)[/tex] existsThe limiting value and the function value are the same, ie, [tex]\displaystyle \lim_{x\to a} f(x) = f(a)[/tex]---------------------------
In this case, a = -1 as this is where the junction happens. It's where f(x) swaps identity from the first piece x^2-3 to the second piece 3x+1
To compute f(a), aka f(-1), we'll use the second piece
f(x) = 3x+1
f(-1) = 3(-1)+1
f(-1) = -2
We see that f(a) does indeed exist, so condition (1) is held true.
----------------------------
To compute the limit, we'll need the left hand limit (LHL) and right hand limit (RHL)
The LHL is found by having x approach -1 from the left. So you'll start with something like x = -2, then move to x = -1.5 then to x = -1.1 then to x = -1.01, and so on, getting steadily closer to x = -1. We won't actually arrive at x = -1 itself.
But because x^2-3 is a polynomial, and all polynomials are continuous, we can simply plug x = -1 into this to find that...
y = x^2-3
y = (-1)^2 - 3
y = -2
The input x = -1 leads to the output y = -2 for the first piece. This is the LHL.
We found earlier that x = -1 lead to y = -2 for the second piece. This is the RHL.
Because LHL = RHL, we have proven condition (2) is true. It also means condition (3) is true because f(a) is part of the RHL, more or less.
----------------------------
In layman's terms, we can think of the two curves as roads. For the function to be continuous, the road cannot have any jumps, gaps, or potholes. Condition (1) says that the point must exist, aka there isn't a pothole there. Condition (2) says that the two pieces of the road, on either side of the point in question, must connect together. Hence there are no gaps or jumps. Condition (3) effectively ties everything together.
You might be asking if condition (3) is a bit redundant. Surely if f(a) exists and the limit exists, then that's enough to prove continuity, right? Unfortunately no that's not the case. Consider the situation where the limit exists, but f(a) was some other value. That means we have a removable discontinuity. That point in the road is a pothole but the two roads do connect.
One could argue that conditions (2) and (3) are sufficient, and condition (1) isn't really needed. This is because if condition (3) was the case, then we automatically have shown that f(a) must exist. This is of course assuming we found that the limit exists as well, and it's not plus/minus infinity.
PLSSS HELP ASAP DUE TMR MORNING
Step-by-step explanation:
Hey there!
Here;
Diameter (d) = 13 ft
Radius (r) = 13/2 = 6.5 ft
Now,
Area of a circle= πr²
= (22/7)*(6.5)²
= 132.78 ft²
Therefore, the area is 133 ft².
Hope it helps!
Step-by-step explanation:
Hey there!
Here;
Diameter (d) = 13 ft
Radius (r) = 13/2 = 6.5 ft
Now,
Area of a circle= πr²
= (22/7)*(6.5)²
= 132.78 ft²
Therefore, the area is 133 ft².
Hope it helps!
Tobias is constructing barriers to prevent cars from driving on a bike path. He can make conical pylons using the dimensions shown. If he used the
same amount concrete to construct a spherical barrier, how tall would it be? Use 3.14 for and round your answer to the nearest tenth of a foot. PLS HELPPP !
Answer:
1.6 ft.
Step-by-step explanation:
Given that the conical pylons had a radius (r) of 1 foot and a height (h) of 2 foot. The volume of the conical pylons is:
Volume = πr²h/3
Therefore substituting gives:
Volume = π(1)²(2)/3 = 2π/3 ft³
Since the same amount of concrete is used to construct a spherical barrier, hence the volume of the sphere would be the same as the volume of the conical pylon.
Volume of sphere = 4πr³/3
4πr³/3 = 2π/3
2r³ = 1
r³ = 1/2 = 0.5
r = ∛0.5 = 0.8 ft.
Therefore the radius of the spherical barrier would be 0.8 ft. and the height would be 2r = 2(0.8) = 1.6 ft.
Need help on this question asap pleasee :)
Answer:
Step-by-step explanation:
Formula for total surface area of of the triangular prism is:
Total Surface area (S) = Ph+ 2B
P = Perimeter of the triangular base
P = 6 + 8 + 10
P = 24 cm
h = height of the prism = 10 cm
B = area of the base
B = ½*bh = ½*8*6
B = 24 cm
S = 24*10 + 2(24)
S = 240 + 48
S = 288 cm²
Total surface area = 288 cm²
2
The height in meters of a projectile involves the object's initial height,
upward velocity, and acceleration because of gravity. If the equation
y =- 9.8t + 109.7t + 7.4 models the number of meters, y, a toy rocket
is above the ground t seconds after being launched, what does the 7.4
represent?
Answer: Initial height before launch
Step-by-step explanation:
Given
The equation [tex]y=-9.8t+109.7t+7.4[/tex] the height of toy rocket after t sec
when the rocket is launched, time is [tex]t=0[/tex]
Substituting 0 for [tex]t[/tex] in the equation
[tex]\Rightarrow y(0)=-9.8(0)+109.7(0)+7.4\\\Rightarrow y(0)=7.4[/tex]
Here, [tex]7.4[/tex] represents that rocket is already at a height of [tex]7.4[/tex] m before the launch.
Drag and drop one equation into the space provided which correctly shows the relationship between the variables in the table.
Answer:
v = 2c
Step-by-step explanation:
If the slope of a line is -2, what is the slope of a perpendicular line?
-2
2
-1/2
1/2
Answer:
option 4
Step-by-step explanation:
[tex]perpendicular means = slope_1 \times sope_2 = -1\\[/tex]
[tex]-2 \times slope_2 = -1\\\\slope_2 = \frac{1}{2}[/tex]
Answer:
1/2
Step-by-step explanation:
The slopes of perpendicular lines are negative reciproclas. That means their product equals -1.
If you know the slope of a line, to find the slope of a perpendicular line, flip the slope and change the sign.
Given line: slope = -2
-2 is the same as -2/1
Flip it: -1/2
Change the sign: 1/2
Answer: 1/2
which ordered pair is a solution of the equation
Answer:
D
Step-by-step explanation:
y - 4 = 7(x - 6) Remove the brackets
y - 4 = 7x - 42 Add 4 to both sides
y = 7x - 42 + 4
y = 7x - 38
Note when you put this in slope, y intercept form, the ordered pair is easier to find.
Let x = 5
y = 7*5 - 38
y = 35 - 38
y = -3 (5,4) isn't right
Let x = 6
y = 7*6 - 38
y = 42 - 38
y = 4 That does not work either.
The answer is D
-5 - 2n = 8n + 25
What is n? n = ____
Answer:
[tex]n = -3[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
-5-2n=8n+25
-5-25=8n+2n
-30=10n
-30/10=n
-3=n
Step-by-step explanation:
therefore n=-3
Hope this helps u!!
HELPPPPP !!!!!! WILL MARK BRAINLEST
Answer: A
Step-by-step explanation:
Keith played the first 22 minutes of soccer game lohan then replaced him for the rest of half logan started the second half and was replaced by wilson with 18 minutes left in the game if each half is 40 minutes ling how long did logan play during the second half
Answer:
Logan played for 22 minutes during the second half.
Step-by-step explanation:
Since Keith played the first 22 minutes of a soccer game and Logan then replaced him for the rest of the half, and Logan started the second half and was replaced by Wilson with 18 minutes left in the game, if each half is 40 minutes long To determine how long did Logan play during the second half, the following calculation must be performed:
Second Half Total - Time Played by Wilson = Time Played by Logan
40 - 18 = X
22 = X
Therefore, Logan played for 22 minutes during the second half.
please answer pleaseee If two cards are chosen from a standard deck of cards one at a time and then placed back in the deck, the probability of choosing two 5s is
============================================================
Explanation:
For now, let's focus on the probability of getting one "5".
There are 4 of these cards (one of each suit) and 52 total. The probability of getting the card we're after is 4/52 = 1/13.
We can think of it like saying "if we focus on one suit only, then there's a 1 in 13 chance of getting a '5' from this pile".
The probability of getting two "5"s in a row is (1/13)*(1/13) = 1/169 assuming we put the first card back. If the first card is not put back, then we would compute it like so: (4/52)*(3/51). I'll leave it unevaluated for you to try out as practice.
Side note: 1/169 = 0.0059 = 0.59% approximately
pls help me with this :(
Answer:
18 cm^3
Step-by-step explanation:
To find the volume, count the number of cubes, since each cube has a side length of 1 cm
The volume of 1 cube is 1*1*1 = 1 cm^3
There are 6 rows of 3 cubes each or 18 cubes
18 cubes of 1 cm^3 = 18 cm^3
Answer: 18 cubic cm
Step-by-step explanation:
Answer 18 :D !!!
I need help with these two please
Answer:
[tex]21(2-x)+12x=44[/tex]
[tex]42-21x+12x=44[/tex]
[tex]42-9x=44[/tex]
[tex]42-9x-42=44-42[/tex]
[tex]-9x=2[/tex]
[tex]-9x=2\\-9 ~~-9[/tex]
[tex]x=-2/9[/tex]
-----------------------
hope it helps..
have a great day!!
adding and subtracting unlike fractions in word functions
A cupcake recipe calls for 1/4 tablespoons of salt and 1/8 tablespoons of vanilla. How many tablespoons of salt and vanilla are required?
Answer:
3/8 tablespoons
Step-by-step explanation:
When we add fractions, we have to make each fraction a common denominator.
So we get 1/4 into 2/8 and we have 1/8
So we add and get 3/8
20 Mathematically similar wooden blocks are made in a workshop.
There are small blocks and there are large blocks.
The volume of each small block is 300 cm
Given that
the surface area of each small block: the surface area of each large block - 25:36
DO NOT WRITE IN THIS AREA
work out the volume of each large block.
Answer: [tex]518.4\ cm^3[/tex]
Step-by-step explanation:
Given
The volume of the small block is [tex]300\ cm^3[/tex]
The ratio of the surface area of small to large block is [tex]25:36[/tex]
Suppose the length of the small and large box is a and b
[tex]\therefore \left(\dfrac{6a^2}{6b^2}\right)=\dfrac{25}{36}\\\\\Rightarrow \left(\dfrac{a}{b}\right)^2=\dfrac{25}{36}\\\\\Rightarrow \left(\dfrac{a}{b}\right)=\dfrac{5}{6}\\\\\therefore \text{Ratio of the volumes of two is }\\\\\Rightarrow \dfrac{a^3}{b^3}=\dfrac{5^3}{6^3}\\\\\Rightarrow \dfrac{V_s}{V_l}=\dfrac{125}{216}\\\\\Rightarrow V_l=300\times \dfrac{216}{125}\\\\\Rightarrow V_l=518.4\ cm^3[/tex]
Find the smallest number should be subtracted from 9340 so as to get a perfect square.
Square root of 9340 = 96.64
nearby number = 96
square of 96 = 9216
9340- 9216= 124
the smallest number 124 should be subtracted from 9340 so as to get a perfect square.
Can you please help me solve this??
Answer:
Step-by-step explanation:
1.25 yd x 2 yd x 1.5 yd
= 2.5 yd^2 x 1.5 yd
= 3 3/4 yd^3
answer is D
15) Suppose that Tony ordered 3 pizzas. Each pizza has 8 slices. Being shared with 5 people (3 pizzas - 8 slices in each
pie... total: 24 PIECES OF PIZZA)
Answer:
4.8 slices each
Step-by-step explanation:
8*3= 24
24/5= 4.8
Help it’s almost due!!!!
What are the measures for angle b,c,and d
While reading a book, Shara
estimates that she is 75%
finished. If she has read 216
pages, then how long is the
book?
Answer:
288 pages
Step-by-step explanation:
Step 1: Set up a fraction (Since 75% is 216, 100% is x. We don't need the percent (%).)
[tex]\frac{216}{75} = \frac{x}{100}\\\\[/tex]
Step 2: Solve; Divide the given values (All we are doing is finding what is between those values.)
[tex]\frac{216}{75}\\\\216 \div 75\\\\= 2.88[/tex]
Step 3: Multiply the result to the value (Now we multiply the result to 100 because that would make it equal.)
[tex]100\\\\2.88 \times 100\\\\= 288[/tex]
Therefore, the book is 288 pages long.
Which statements about the system are true? Select two options.
y=x-4
3y - x= -7
The system has one solution.
The system consists of parallel lines.
Both lines have the same slope.
Both lines have the same y-intercept.
The equations represent the same line.
Save and Exit
Next
Submit
Mark this and return
Answer:
system has 1 solution at (2.5, -1.5)
Step-by-step explanation:
y = x - 4 this equation has a slope of 1 and a y-intercept of -4
3y - x = -7 this equation has a slope of 1/3 and a y-intercept of -7/3
25 POINTS!!! What shape can be created by the given net? triangular prism square pyramid cube rectangular prism
Answer:
triangular prism
Step-by-step explanation:
Vertical angle question, should be easy points for you
Answer:
I don't know how to explain it well but i got part of my notes and i solved it and i got D. 144 and i got it checked and it was correct
Step-by-step explanation:
Sorry for not helping sooner
fin the area of this trapezoid
Answer:
The answer would be 96
Step-by-step explanation:
Because 20/2=10x2=20
19x4=76
20+76=96
What is Joaquins unit rate, in miles per hour
Answer:
1 1/4 mile/hr (Answer B)
Step-by-step explanation:
Distance traveled: 1/4 mile; elapsed time: 1/5 hour. Then:
1/4 mile
--------------- = 5/4 mile/hr, or 1 1/4 mile/hr (Answer B)
1/5 hour
Please solve with explanation