Answer:
x=4 and y=2
Step-by-step explanation:
2x=3(-x+6) +2
2x= -3x+18 +2
2x= -3x+20
5x=20
x=4
y=-(4) +6
y=2
A ball is projected upward from ground level. After t seconds, it’s height in feet is a function defined by f (t) = -16t^2 + 96t. In how many seconds will the rocket be at a height of 128 ft above the ground?
Answer:
t = 2 s and t = 4 s
Step-by-step explanation:
A ball is projected upward from ground level. After t seconds, it’s height in feet is a function defined by,
[tex]f (t) = -16t^2 + 96t[/tex]
We need to find in how many seconds will the rocket be at a height of 128 ft above the ground.
It means,
[tex]128= -16t^2 + 96t\\\\-16t^2+96t-128=0\\\\16(-t^2+6t-8)=0\\\\(-t^2+6t-8)=0\\\\-t^2+4t+2t-8=0\\\\t(-t+4)-2(-t+4)=0\\\\(t-2)=0\ and\ (-t+4)=0\\\\t=2\ and\ t=4[/tex]
So, it will be at a height of 128 feet at 2 second and 4 second.
What is the simplest form of of this expression?
Answer:
B
Step-by-step explanation:
help pls brainliest for whoever helps me ·ω·
Answer:
8
Step-by-step explanation:
Answer:
Answer is 8 :D
Step-by-step explanation:
The common factor of those 2 numbers are 1, 2,4,8 :)
Complete the equations so that the solution of the system of equations is (−1, −4). y= ?X−11 6x− ? Y=10
Answer:
y = –7x – 11
6x – 4y = 10
Step-by-step explanation:
From the question given above, we obtained:
x = –1
y = –4
y = ?x – 11 ....... (1)
6x – ?y = 10b......... (2)
Let the two unknown be a and b. Thus the above equation becomes:
y = ax – 11 ......... (3)
6x – by = 10 .......(4)
Next, we shall determine the value of 'a' and 'b'. This can be obtained as follow:
For a:
y = ax – 11
x = –1
y = –4
–4 = a(–1) – 11
–4 = –a – 11
Collect like terms
–4 + 11 = –a
7 = –a
Multiply through by –1
a = –7
For b:
6x – by = 10
x = –1
y = –4
6(–1) – b(–4) = 10
–6 + 4b = 10
Collect like terms
4b = 10 + 6
4b = 16
Divide both side by 4
b = 16 / 4
b = 4
Finally, we shall substitute the value of a and be into equation 3 and 4 respectively.
y = ax – 11
a = –7
y = –7x – 11
6x – by = 10
b = 4
6x – 4y = 10
Therefore, the complete equation are:
y = –7x – 11
6x – 4y = 10
hola please help i’ll give brainliest but please answer correctly
Answer:
Step-by-step explanation: 1) 14.5 bc
We have the equation:
43.5 ÷ 3 = 14.500
Calculated to 3 decimal places.
2) They are all the same because they are the same numbers but in different places.
i hope this helps! =3
Roman and Ranjan each divided 3.56 by 0.72. Roman got 4.94 for his quotient. Ranjan got 0.04 for his quotient. Which student divided correctly? How do you know? P 7•3
Answer:
Step-by-step explanation:
It’s Roman if you do the math you will get 4.94
How would you know
When doing the math i got the answer 4.94 which that mean ranjan divide wrong
9(3+v)
answer pleaseee
Answer:
27+9v
Step-by-step explanation:
distribute
ABOVE & BEYOND: What is the slope of the line graphed below?
Answer:
3
Step-by-step explanation:
Y=4-2x 3y-2x=4 solve using substitution
Answer:
x=1 y=2
Step-by-step explanation:
y=4-2x 3y=4+2x
3*(4-2x)=4+2x
12-6x=4+2x
12-4=2x+6x
8x=8
x=1
y=4-2*1
y=2
Kathy wants to paint the faces of her standard six-sided die so that each face is either red or blue. However, she does not want all of the faces to be the same color. How many ways are there for Kathy to paint her die?
Answer:
The number of ways Kathy can paint her die is 52 ways
Step-by-step explanation:
The permutation and combination related question is answered as follows;
The number of faces in the six-sided die = 6
The number of colors available for painting the six-sided die = 2 colors
Therefore, we have, the total number of ways Kathy can paint her die, 'n', given as follows;
n = ₆P₂ + 2₄P₄ + 2₄P₃ + ₄P₂
Where;
₆P₂ = The number of ways of arranging 2 objects in 6 spaces = 30
₄P₄ = The number of ways of arranging 4 objects in 4 spaces = 1
₄P₃ = The number of ways of arranging 3 objects in 4 spaces = 4
₄P₂ = The number of ways of arranging 2 objects in 4 spaces = 12
∴ n = 30 + 2×1 + 2×4 + 12 = 52
The number of ways Kathy can paint her die, n = 52 ways.
11 is what percentage of 16? Round the nearest tenth.
Answer:
.69, but you can round it to .70 because of the 9
Step-by-step explanation:
70%
Answer:
This can be calculated by dividing 11 over 16, which is equal to about 0.69.
Let me know if this helps!
The aquarium opened at 8.00 am . In the first hour 140 people purchased admission tickets . In the second hour 25 % more people purchased admission tickets than the first hour . Each ticket cost 15.25 . What was the total amount of money paid for all the tickets purchased in the first two hours please help
Answer:
Total income= $4,083.75
Step-by-step explanation:
First, we need to calculate the total number of people that enter the aquarium in the first two hours.
1st hour= 140
2nd hour= 140*1.25= 175
Total number of people= 315
Now, we can determine the total amount of money earned:
Each ticket cost 15.25.
Total income= 315*15.25
Total income= $4,083.75
Given a set of data, what steps would you take to identify whether the data showed linear or exponential growth?
Answer:
See explanation
Step-by-step explanation:
The first thing to do when given a data set is to ensure that the x-values are spaced in equal intervals.
The next is now to determine if the given y-values are increasing by the same amount(a common difference) or by the same ratio(a common ratio).
The data set is linear if the y-values increase by a common difference and the data set is exponential if the y-values increase by a ratio or factor.
Answer:
Which of the following steps did you include? Check all of the boxes that apply.
Make sure that the x-values are spaced apart in equal intervals.
Determine whether the y-values increase by the same amount or by the same ratio.
Decide that the data is linear because the y-values increase by a common difference.
Decide that the data is exponential because the y-values increase by a ratio or factor.
Step-by-step explanation:
i took the test
help i need help i really really need help no cap
The diameter of a circle is 40.0cm. What is the circumference of the circle?
Use 3.14 for pi
Help would really be appreciated bc I do not understand circles lol
Answer:
Answer is 125.6
Step-by-step explanation:
Diameter=40cm
radius=40÷2 = 20cm
Circumference = 2πr
=2×3.14×20
=125.6
Let u= <-6,3>, v=<1,9>. Find u-v
Answer:
??????????????
Step-by-step explanation:
Ummm is that a equation??? If so ill try.....
(-6,3)-(1,9)= (-8,2)
(-6,3)+(1,9)= (-4,4)
2 Which of the following fractions are equivalent to 2/4?
Answer:
1/2=2/4
Step-by-step explanation:
Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 136.
The diagram says x+4 on the top and x on the side
please help me solve this thanks
Answer: 4x+8<120
x<28
Step-by-step explanation:
As per the statement in the question, the inequality will be 4x + 8 < 136.
What is inequality?Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.
As per the instructions given in the question,
The length (l) of the rectangle = x+4
The width (w) of the rectangle = x
As per the formula of the perimeter, P:
P = 2 (l + w) (i)
Put the values in (i)
P = 2 (x + 4 + x)
P = 2x + 8 + 2x
P = 4x + 8
Then the inequality as per the statement in the question will be,
4x + 8 < 136.
To know more about inequality:
https://brainly.com/question/28823603
#SPJ2
find the area of the circle with a cirumfererference of 30pi write your solution in terms of pi
Answer:
225 pi
Step-by-step explanation:
2pi r=30pi
pi r =15pi
pi r2=225pi
225 pi
Kenny wants to take his dog to obedience school. At Sit and Stay School, 12 lessons cost $96. At Canine Community Center, 25 lessons cost $125. Which is the better deal?
Answer:
25 lessons that cost $125
Step-by-step explanation:
If 8 lessons cost $96
then, 96/12 =8
therefore a lesson costs $8
If 25 lessons costs $125
then, 125/25= 5
therefore a lesson costs $5 which is cheaper.
PLEASE HELP!!
if y(x) = 5x-2 and g(x) = 2x + 1, find (f + g)(x).
Answer:
(f + g)(x) = 7x - 1
Step-by-step explanation:
Given : f(x) = 5x – 2 and g(x) = 2x + 1
We have to find (f + g)(x)
Consider (f + g)(x) = f(x) + g(x)
Also, given f(x) = 5x – 2 and g(x) = 2x + 1
Substitute, we have,
f(x) + g(x) = 5x - 2 + 2x + 1
LIKE TERMS are terms having same variable with same degree.
Simplify by adding like terms, we have,
f(x) + g(x) = 5x + 2x - 2 + 1
f(x) + g(x) = 7x - 1
Thus, (f + g)(x) = 7x - 1
Mary has a container filled with 20 ounces of cereal. Each day she eats 4.5 ounces
of cereal.
• Write an expression to represent the amount of cereal left after x days.
Answer:quin hill from ms Henry math class?!?!?!?! Why are you on brainly.....
Step-by-step explanation:3.1
solve using a2 + b2 = c2
show the work please :)
Answer: 19.20937
Step-by-step explanation:
a2=15
b2=12
c2=?
a2+b2=c2
15(15)+12(12)= c2
225+ 144=c2
√369= √c2
≐19.20937 ft
3√41
Please help!
Select ALL of the expressions that are equivalent to
3.5 – (4.7).
3.5+ (-4.7)
4.7 – (3.5)
-4.7 + 3.5
3.5 +4.7
3.5 - (-4.7)
Answer:
Step-by-step 16
16 x 81
Someone plz help me with this 2 questions I will give brainliest
(Look at the pictures)
Answer:
61 ounces
Step-by-step explanation:
1 pound = 16 ounces
8 pound 3 ounces = 8*16 + 3 = 128 +3 = 131 ounces
No Jesse's weight = 12 pounds = 12*16 = 192 ounces
Weight gained = 192 - 131 = 61 ounces
Find the value of x.
A. 4.3
B. 2.7
C. 11.6
D. 13.9
Answer:
[D] 13.9Explanation:
Pythagorean theorem: a² + b² = c²Solve for hypotenuse (side x) using: c = √a² + b²12.8² + 5.3² = 191.93
√191.93
= 13.8538803229
Round the answer
13.9
Volume of cylinder & cone ... Help me please
Answer:
The formula for the volume of a sphere is 4⁄3πr³. For a cylinder, the formula is πr²h. A cone is ⅓ the volume of a cylinder, or 1⁄3πr²h.
Help meh- im d u m b
Answer:
[A] 0Explanation:
Lines of symmetry; A line that cuts a shape exactly in halfIf you were to put a line of symmetry down and fold the shape in half on that line, both halves would match exactly.
If you were to put a line of symmetry down on this triangle both sides would not match, therefore there are no lines of symmetry.There are zero lines of symmetry, therefore your answer is [A] 0Mrs Jenkins buys a car for £3400.
She sells it for £3800.
Work out her percentage profit.
Answer:
%11.76
Step-by-step explanation:
400/3400x100 = 11.76
density of the cube is 9.86 g/cm³ and the volume is 150cm³ work out the mass in kg
Mass= Density *Volume
9.86 g/cm3 *150 cm3 =1479g
1479 g to kilograms
1479g= x
1000g = 1 kg
x = 1479 g / 1000 x = 1.479 kg.
