Answer:
(0,-3)
(1.-1)
(2,1)
Step-by-step explanation:
those are the only possible solutions to the equation. Choose any value for
x that is in the domain to plug into the equation.
A missile is launched along a path determined by the function below, where f(x) is the height of the missile in feet x seconds after the launch.
A plane is flying nearby at a height of 650 feet.
Is the plane in danger of being hit by the missile?
Why or why not?
f(x)=-2x^2+72x
Answer:
The plane will be fine.
Step-by-step explanation:
[tex]f(x) =-2x^{2}+72x\\650=-2x^{2}+72x\\2x^{2}-72x+650=0\\[/tex]
There are no real solutions.
What distance would you travel in 2.5 hours if you are biking with the speed of 6.3 mph?
Answer:
15.75 milesStep-by-step explanation:
Step one:
given
time= 2.5 hours
speed= 6.3mph
Step two:
Required
Distance
we are given the speed in miles per hour, hence the distance will be in miles
we also know that the expression relating speed, distance and time is given as
speed= distance/time
thus
distance= speed*time
distance= 6.3*2.5
distance= 15.75 miles
By using expression for the speed, distance traveled by me in 2.5 hours will be
Given in the question,
Speed = 6.3 mphTime for travelling = 2.4 hoursExpression for the speed of an object is given by,
Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
Therefore, Distance = Speed × Time
By substituting the values of speed and the time in the expression,
Distance traveled = 6.3 × 2.5
= 15.75 miles
Therefore, distance traveled by me in 2.5 hours will be 15.75 miles.
Learn more,
https://brainly.com/question/13721201
Multiply 11 1/9 * 4 2/7 to the simplest form
Answer:
= 47 13/21?
Step-by-step explanation:
i think...
What’s the 84th term of the arithmetic sequence -5, 15, 35
Answer:
a₈₄ = 1655Step-by-step explanation:
15-(-5) = 20 and 35-15=20 so d=20
[tex]a_n=a_1+d(n-1)\\\\a_1=-5\\d=20\\\\a_{84}=-5+20(84-1)=-5+20\cdot83=-5+1660=1655[/tex]
Horatio's haunted house
(-3/2)x-9=-27 solve for x
Answer:
x=12
Step-by-step explanation:
-3/2x-9=-27
-3/2x=-18
2/-3*-3/2x=-18*2/-3
x=12
If k(x) = 2x² -3.Vx, then k(9) is
Answer:
159
Step-by-step explanation:
k (9) = (2 * [tex]9^{2}[/tex]) - 3
= (2 * 81) - 3
= 162 - 3
= 159
Find the slope of the line that passes through the given points:
(-18, 4), (-19, 18)
Answer:
m = -14
Step-by-step explanation:
Kiemanh is solving the equation 15 r minus 6 r = 36. What is the value of r? 2 4 15 27
Answer:
the actual answer is B.) 4
Step-by-step explanation:
just took the topic test
Answer:
B
Step-by-step explanation:
PLZZZZZ HELPPPP!!!! I NEED YOU RIGHT NOWSSSSSS
Answer:
its parallel!!!!!
its parallel because they have different slopes!!!
Which properties were used to prove that the expressions 7 x + 4 minus x minus 2 and 6 x + 2 are equivalent?
7 x + 4 minus x minus 2. 7 x minus x + 4 minus 2. (7 minus 1) x + 4 minus 2. 6 x + 2.
A.commutative, distributive, and addition
B.commutative, associative, and addition
C.associative, distributive, and addition
D.distributive, associative, and commutative
If I need 5 eggs to make 30 biscuits, how many eggs will I need to make 90 biscuits?
Answer:
15!!!!is the answer.....
only simplify, don’t solve please. thank you!
Answer:
4x
Step-by-step explanation:
the -8 and +8 cancel out
x and 3x are both positive so add them
you're left with 4x
Simplifying is the same as solving this question. I'll give steps instead.
x - 8 + 3x + 8
x + 3x - 8 + 8 (Arrange the equation)
(x + 3x) (- 8 + 8) (Parentheses the like terms together)
(4x) (0) (Solve)
4x (Simplified)
Cheers!
Can someone write the equations for me under each graph?
Answer:
4) y+2 = 3(x+1)
5) y+2 = -1(x-1)
6) y+3 = 0(x-2) OR y=3
Step-by-step explanation:
M is given and is the slope
X and Y change signs (positive becomes negative and vice versa)
What are the coordinates of point P? On a coordinate plane, point P is at (negative 4, 3). (–4, 3) (–3, 4) (3, –4) (4, –3)
I think it would be A (-4, 3)
bruh u put the answer in the question
Answer:
A
Step-by-step explanation:
Solve for the value of s
Answer:
15
Step-by-step explanation:
9 times 15+8+37=180
180 is a full line
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[tex](9s + 8)° + 37° = 180°[/tex]
Because they make straight line.
[tex]9s + 8 + 37 = 180[/tex]
[tex]9s + 45 = 180[/tex]
Subtract sides 45
[tex]9s + 45 - 45 = 180 - 45[/tex]
[tex]9s = 135[/tex]
Divide sides by 9
[tex] \frac{9s}{9} = \frac{135}{9} \\ [/tex]
[tex]s = 15[/tex]
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CHECK :
[tex]9(15) + 45 = 180[/tex]
[tex]135 + 45 = 180[/tex]
[tex]180 = 180[/tex]
Thus the solution is correct .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
i will give u brainliest
Answer:
121
Step-by-step explanation:
gimme Brainliest
, 80 POINTS Find k so that P(k,0) is equidistant from points A(1,2) and B(2,5).
ANSWER IN NEXT 20 MIN
Answer:
P(1.5, 3.5)
Step-by-step explanation:
We need to find the average of the x and y coordinates. We do this by adding the two values, then dividing by two:
P(x1 + x2/ 2, y1 + y2/2) = P(1 + 2/ 2, 2 + 5/ 2) = P(3/2, 7/2) = P(1.5, 3.5)
These are our coordinates!
A bowling ball is dropped from a height of 50 feet
a. Write a function that gives the height h (in feet) of the bowling ball after t seconds.
h(t)=
b. Find the height of the bowling ball after 1 second.
c. How long does the bowling ball take to hit the ground? Round your answer to the nearest hundredth of a second.
Answer:
A. The function that gives the height of the bowling ball after t seconds is [tex]h(t) = 50-16.087\cdot t^{2}\,\,\,[ft][/tex].
B. The height of the bowling ball after 1 second is 33.913 feet.
C. The bowling ball will take approximately 1.763 seconds to hit the ground.
Step-by-step explanation:
A. From Physics we notice that ball experiments a free-fall, which is an uniform accelerated motion due to gravity and where air friction and effects of the Earth's rotation are neglected. The height of the ball is described by the following kinematic equation:
[tex]h(t) = h_{o}+v_{o}\cdot t +\frac{1}{2}\cdot g \cdot t^{2}[/tex] (1)
Where:
[tex]h_{o}[/tex] - Initial height of the ball, measured in feet.
[tex]v_{o}[/tex] - Initial velocity of the ball, measured in feet per second.
[tex]t[/tex] - Time, measured in seconds.
[tex]g[/tex] - Gravitational acceleration, measured in feet per square second.
If we know that [tex]h_{o} = 50\,ft[/tex], [tex]v_{o} = 0\,\frac{ft}{s}[/tex] and [tex]g = -32.174\,\frac{ft}{s^{2}}[/tex], then the function that gives the height of the bowling ball after t seconds is:
[tex]h(t) = 50-16.087\cdot t^{2}\,\,\,[ft][/tex] (2)
The function that gives the height of the bowling ball after t seconds is [tex]h(t) = 50-16.087\cdot t^{2}\,\,\,[ft][/tex].
B. If we know that [tex]t = 1\,s[/tex], then the height of the bowling ball is:
[tex]h(1) = 50-16.087\cdot (1)^{2}[/tex]
[tex]h(1) = 33.913\,ft[/tex]
The height of the bowling ball after 1 second is 33.913 feet.
C. The bowling ball hits the ground when height is zero. Let equalize (1) to zero and solve the resulting expression:
[tex]50-16.087\cdot t^{2} = 0[/tex]
[tex]16.087\cdot t^{2} = 50[/tex]
[tex]t \approx 1.763\,s[/tex]
The bowling ball will take approximately 1.763 seconds to hit the ground.
A 12 fl. oz. bottle of shampoo costs $1.08 at Costco. A 20 fl. oz. Bottle of the same shampoo costs $2.20 at Wal-Mart. Which store has the better buy?
9514 1404 393
Answer:
Costco
Step-by-step explanation:
2 bottles at Costco give you 24 oz of shampoo for the price of $2.08, which is less than Wal-Mart's price of $2.20 for fewer ounces.
Costco has the better buy.
What is the measurement of angle 1 plz help me !
Answer:
ANGLE 1 = 40°
Step-by-step explanation:
angle 1 = angle 2 ------(alternate interior angles)
2x + 20 = 3x + 10
20 - 10 = 3x - 2x
x = 10.
Angle 1 = 2x + 20 = 2(10) + 20 = 20 + 20 = 40°.
HOPE IT HELPS!!!
The equation P=6s represents the perimeter P of a regular hexagon with side length s. What is the
perimeter of a regular hexagon with side length 2 mm?
The perimeter is
mm.
Answer:
The perimeter is 12mm
Step-by-step explanation:
Plug 2 for s in P=6s so 6*2=12
Luke puts $500 into a savings account that earns 6% simple interest each year. How much money will be in the account after 3 years
Answer:
= $90
Step-by-step explanation:
I = prt
I = 500 x 0.06 x 3
I = $90
9514 1404 393
Answer:
$590
Step-by-step explanation:
The account balance is given by ...
A = P(1 +rt) . . . . simple interest rate r for t years
A = $500(1 +0.06×3) = $590
There will be $590 in the account after 3 years.
Calculate the new perimeter using a scale factor of 1/4
I will give brainliest if right!
Answer:
22.5
Step-by-step explanation:
$132.75 discounted 40%
Answer:
$79.65
Step-by-step explanation:
Answer:
$79.65
Step-by-step explanation:
Discount: $53.10
Final Price: $79.65
how do you figure out the square root of z^2+8z+16?
Step-by-step explanation:
Hey there!
Given;
[tex] = \sqrt{ {z}^{2} + 8z + 16} [/tex]
Looking through question, we can bring it to perfect square to remove the (√) sqrt.
[tex] \sqrt{( {z)}^{2} + 2.4x + {4}^{2} } [/tex]
We made this to bring it in the form of (a+b)^2. As (a+b)^2 = a^2 + 2.a.b + b^2.
Now, our question looks like similar to the formula.
So, We can write it as:
[tex] \sqrt{( {z + 4)}^{2} } [/tex]
Now, we can cancel (√) and (^2). And we get
= z + 4
Hope it helps...
5x+4y=14
-2x-8y=20
please show work
answer quickly
Answer:
:work
Step-by-step explanation:
;c
-4(-5x+6) in distributive property
Answer:
20x - 24
Step-by-step explanation:
-4(-5x + 6)
20x - 24
Calculators cost $12.99 each, rulers cost $0.49 each, pencils cost $0.10 each, and erasers
cost $0.05 each. How much would Mrs. Algebra's single order be? Use the expression below
to calculate the total.
Given :
Calculators cost $12.99 each, rulers cost $0.49 each, pencils cost $0.10 each, and erasers cost $0.05 each.
To Find :
How much would Mrs. Algebra's single order be.
Solution :
Total price paid by Mrs. Algebra = Price of pencil + price of ruler + price of calculator + price of eraser.
T = $(0.10 + 0.49 + 12.99 + 0.05)
T = $13.63
Therefore, Mrs. Algebra's single order cost is $13.63 .
Hence, this is the required solution.
Anu has 9 problems to solve for his
math homework. He has solved 2/3
of the problems already. How
many of his problems has he
solved?
9514 1404 393
Answer:
6
Step-by-step explanation:
2/3 of 9 is ...
(2/3)×9 = 18/3 = 6
Anu has solved 6 of his problems.