Answer:
X = 4, x = -7
Step-by-step explanation:
You can set each equation in the parenthesis Equal to 0.
x - 4 = 0 and x + 7 = 0
start with x - 4 =0
add 4 to both sides
x = 4.
then do x +7 =0. subtract 7 from both sides.
x = -7
so x =4, and x = -7
The least common denominator of[tex]\frac{1}{6} and \frac{5}{12}[/tex] is 12.
TrueFalse
What is 1+2+3+4+5+6+7+8+9+10=?
have a great day!! :)
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55
Answer:
55
Step-by-step explanation:
9 + 1 = 10
8 + 2 = 10
7 + 3 = 10
6 + 4 = 10
5 + 10 = 15
10 + 10 + 10 + 10 + 15 = 55
what is 3 tenths plus 8 tenths?
Answer:
1.1
Step-by-step explanation:
Question in picture solve
Answer:
Bike 1
Step-by-step explanation:
If you look at the graph, you'll see that Bike 1 went 9 feet but Bike 2 is at about 7.5 feet in 6 seconds.
We are standing on the top of a 1680 ft tall building and throw a small object upwards. At every second, we measure the distance of the object from the ground. Exactly seconds after we threw the object, it’s height, (measured in feet) is
ℎ= -16^2 + 256 + 1680
a.) Find ℎ when = 3.
b.) How much does the object travel during the two seconds between 5 seconds and 7 seconds?
c.) How long does it take for the object to reach a height of 2640 ft?
d.) How long does it take for the object to hit the ground?
Answer:
a) The height of the small object 3 seconds after being launched is 2304 feet.
b) The small object ascends 128 feet between 5 seconds and 7 seconds.
c) The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.
d) The object will take 21 seconds to hit the ground.
Step-by-step explanation:
The correct formula for the height of the small object is:
[tex]h(t) = -16\cdot t^{2}+256\cdot t+1680[/tex] (1)
Where:
[tex]h[/tex] - Height above the ground, measured in feet.
[tex]t[/tex] - Time, measured in seconds.
a) The height of the small object at given time is found by evaluating the function:
[tex]h(3\,s)= -16\cdot (3\,s)^{2}+256\cdot (3\,s)+1680[/tex]
[tex]h(3\,s) = 2304\,ft[/tex]
The height of the small object 3 seconds after being launched is 2304 feet.
b) First, we evaluate the function at [tex]t = 5\,s[/tex] and [tex]t = 7\,s[/tex]:
[tex]h(5\,s)= -16\cdot (5\,s)^{2}+256\cdot (5\,s)+1680[/tex]
[tex]h(5\,s) = 2560\,s[/tex]
[tex]h(7\,s)= -16\cdot (7\,s)^{2}+256\cdot (7\,s)+1680[/tex]
[tex]h(7\,s) = 2688\,s[/tex]
We notice that the small object ascends in the given interval.
[tex]\Delta h = h(7\,s)-h(5\,s)[/tex]
[tex]\Delta h = 128\,ft[/tex]
The small object ascends 128 feet between 5 seconds and 7 seconds.
c) If we know that [tex]h = 2640\,ft[/tex], then (1) is reduced into this second-order polynomial:
[tex]-16\cdot t^{2}+256\cdot t-960=0[/tex] (2)
All roots of the resulting equation come from the Quadratic Formula:
[tex]t_{1} = 10\,s[/tex] and [tex]t_{2}= 6\,s[/tex]
The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.
d) If we know that [tex]h = 0\,ft[/tex], then (1) is reduced into this second-order polynomial:
[tex]-16\cdot t^{2}+256\cdot t +1680 = 0[/tex] (3)
All roots of the resulting equation come from the Quadratic Formula:
[tex]t_{1} = 21\,s[/tex] and [tex]t_{2} = -5\,s[/tex]
Just the first root offers a solution that is physically reasonable.
The object will take 21 seconds to hit the ground.
Find the value for x for which r ll s. Then find m<1 and m<2. m<1 = (60-2x)to the zero power m<2 = (71 - 3x)to the zero power. The value for x for which r || s is ?
Match each inequality to the correct graph.
Answer: Hope this helps
plz help...........
Answer:
1 is one of them
Step-by-step explanation:
Please hurry no clown answers and please do the whole thing
You are a member of your local movie theater’s club. Every time you see a movie at the theater, you earn 2 advantage points. When you earn 100 points, you get a free movie pass. Currently, you have 40 advantage points.
Write an equation to model the number of movies m you have to watch before you earn a free movie pass.
Solve the equation. Show your work.
100=40+2m
100-40=60
2m=60
60 divided by 2=30
30 movies
Answer:
2m+40=100, 30 movies
Step-by-step explanation:
1 movie = 2 points
1 pass= 100 points
curently have 40 points so
100points = 40points +2points *m
solve for m:
2m+40 =100 subtract 40 from both sides
2m = 100-40
2m=60 divide both sides by 2
m=60/2
m=30
Sally put dots on a place value chart to show a number. She had a total of 10 dots. She put 3 in the tens place, 5 in the hundreds place, and 2 in the thousands place. Which of these is Sally’s number?
A.
253
B.
2503
C.
2530
D.
25,300
Which values could be the values of x and y?
Answer:
1 3/4, 9 1/4
Step-by-step explanation:
continue the pattern
How many solutions does 5 - 2x = 4 - 2x + 4 + x have?
A. Infinitely many solutions
B. Two solutions
C. One solution
D. No solutions
Answer:
One solution, being x = -3
Step-by-step explanation:
Which expressions are equivalent to (5g+3h+4)•2?
Answer:
nc
Step-by-step explanation:
nc
6 + 18r = 20r - 18 - 4r
Answer:
r = -12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
6 + 18r = 20r - 18 - 4r
Step 2: Solve for r
Combine like terms: 18r + 6 = 16r - 18Subtract 16r on both sides: 2r + 6 = -18Isolate r term: 2r = -24Isolate r: r = -12Janka si vložila 3200 eur na termínovaný účet s 1,2 úrokovou mierov koľko bude mať po 1 roku
Answer:
the present value is 3,162 euros
Step-by-step explanation:
The computation of the present value is shown below:
As we know that
Future value = Present value × (1 + rate of interest)^number of years
3,200 euros = Present value × (1 + 0.012)^1
3,200 euros = Present value × 1.012^1
Present value is
= 3,200 euros ÷ 1.012
= 3,162 euros
Hence, the present value is 3,162 euros
The function y - 3 = 4(x + 2) is in point-slope form. Select the equivalent equation in slope-intercept form
y = 112 +4
y = 4.3 +11
y = 4x + 5
y = 4x + 8
A store had a sale where you could get 5 bags of cashews for $4. If you
wanted to buy 50 bags, how much would it cost?
Answer:
$40
Step-by-step explanation:
50/5=10, 10•4=40
It cost $20 plus $1.50 per hour to rent a golf cart. Write an equation showing the relationship between the cost of renting a cart (y) and the number of hours it was rented (x).
Answer:
y=20+1.5x
Step-by-step explanation:
The cost of renting a golf cart is equal to $20 plus $1.50 per hour.
let y=the cost of renting a golf cart
let x=the # of hours
y=20+1.5x
somebody please help me thansk
Answer:
y=-2x-1
Step-by-step explanation:
The variables x an y vary directly. When x=13, y=52. Which equation correctly relates x and y?
Answer:
The equation which correctly relates x and y is y = 4x
Step-by-step explanation:
The equation of the direct variation is y = k x, where
k is the constant of variationTo find the value of k, use the initial values of x and y∵ The variables x and y vary directly
→ Use the form of the equation above
∴ y = k x
∵ When x = 13, y = 52
→ That means the initial values of x and y are 13 and 52
∴ x = 13 and y = 52
→ Substitute them in the equation above to find k
∵ 52 = k (13)
∴ 52 = 13k
→ Divide both sides by 13
∴ 4 = k
∴ The value of k is 4
→ Substitute it in the equation
∴ y = 4x
∴ The equation which correctly relates x and y is y = 4x
the radius of the base of a right cylinder is 12 cm and the height and the height of the cylinder is 18 cm. in terms of pi what is the volume of the cylinder.
Answer:
Step-by-step explanation:r=12cm,h=18cm,v=?
Vol. Of a cylinder=Πr²h
V= Π×12²×18
V= Π×144×18
V=2592Πcm³
find the sum of 10x^2-6 and x +6
Answer:
10x2+x
Step-by-step explanation:
A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week. 1. Create a system of equations or inequalities that models the situation. Define the variables you use.
Answer:
15x=300, x=20
20x=300, x=15
Step-by-step explanation:
Answer:
:)
Step-by-step explanation:
15x=300
x will equal 20
20x=300
x will equal 15
Jorge's family arrived home at 8:00 at night after traveling in the car for 5 hours and 15 minutes. What time did Jorge's family leave?
Answer:
2:45 P.M
Step-by-step explanation:
Answer:
3:45
Step-by-step explanation:
8:00-5 hours and 15 min=3:45
(x + 3)(x^2 - 5x + 7)
write in standard form once you find answer.
2(4 + 7) − 8 ÷ 2 whats the answer
Answer:
your answer is 18 look below for an explanation!
Step-by-step explanation:
please just trust me i know for a fact its right plz leave a thx and may i please have brainliest?
because 2(4+7)= 8+14= 22. 8/2= 4. 22-4=18.
There are 85 girls and 70 boys in the sixth grade. Of these students, 14
girls and 8 boys take piano lessons. What percentage of the sixth
graders at this school take piano lessons?
Answer:
14.2%
Step-by-step explanation:
85+70= 155
155=100%
22=?
22×100%÷155
= 14.1935
hence answer is 14.2%
A contestant in a game show has 9,000 points. The contestant answers the next question incorrectly and loses 750 points. Does the word "lose" suggest a positive integer or a negative integer? What integer represents a loss of 750 points?
This question is incomplete
Complete Question
A contestant in a game show has 9,000 points. The contestant answers the next question incorrectly and loses 750 points. Does the word "lose" suggest a positive integer or a negative integer? What integer represents a loss of 750 points?
a) Positive, + 750
b) Positive , - 750
c) Negative , +750
d) Negative , - 750
Answer:
d) Negative , - 750
Step-by-step explanation:
We are told in the question that the contestant has 9000 points
Then he loses 750 points.
This means that the 750 points would be deducted from the 9000 points he the contestant has already.
The word lose is a negative and it carries the Subtraction (-) sign,
hence, lose suggests a negative integer which is given as:
-750
Option d is the correct option
Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse functions
Answer:
[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]
[tex]a(a'(d)) = a'(a(d)) = d[/tex]
Step-by-step explanation:
Given
[tex]a(d) = 5d - 3[/tex]
Solving (a): Write as inverse function
[tex]a(d) = 5d - 3[/tex]
Represent a(d) as y
[tex]y = 5d - 3[/tex]
Swap positions of d and y
[tex]d = 5y - 3[/tex]
Make y the subject
[tex]5y = d + 3[/tex]
[tex]y = \frac{d}{5} + \frac{3}{5}[/tex]
Replace y with a'(d)
[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]
Prove that a(d) and a'(d) are inverse functions
[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex] and [tex]a(d) = 5d - 3[/tex]
To do this, we prove that:
[tex]a(a'(d)) = a'(a(d)) = d[/tex]
Solving for [tex]a(a'(d))[/tex]
[tex]a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})[/tex]
Substitute [tex]\frac{d}{5} + \frac{3}{5}[/tex] for d in [tex]a(d) = 5d - 3[/tex]
[tex]a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3[/tex]
[tex]a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3[/tex]
[tex]a(a'(d)) = d + 3 - 3[/tex]
[tex]a(a'(d)) = d[/tex]
Solving for: [tex]a'(a(d))[/tex]
[tex]a'(a(d)) = a'(5d - 3)[/tex]
Substitute 5d - 3 for d in [tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]
[tex]a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}[/tex]
Add fractions
[tex]a'(a(d)) = \frac{5d - 3+3}{5}[/tex]
[tex]a'(a(d)) = \frac{5d}{5}[/tex]
[tex]a'(a(d)) = d[/tex]
Hence:
[tex]a(a'(d)) = a'(a(d)) = d[/tex]
if the transformation was a rotation, tiffany..... be certain the trapezoids are congruent
A. can
B. cannot