The root is the x intercepts or the zeros of the problem
If I were to graph
(x-5)(x+4)=0
We need a number for x which makes this equation 0
The numbers are 5 or -4
These are the x intercepts of the parabola or roots
Answer:
The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.
Step-by-step explanation:
An engineer is designing a fountain that shoots out drops of water. The nozzle from which the water is launched is 3 meters above the ground. It shoots out a drop of water at a vertical velocity of 14 meters per second. Function h models the height in meters, h, of a drop of water t seconds after it is shot out from the nozzle. The function is defined by the equation h(t)=−5t2+14t+3. How many seconds until the drop of water hits the ground?
Answer:
After 3 seconds
Step-by-step explanation:
Given
[tex]h(t) = -5t^2 + 14t + 3[/tex]
Required
Time the drop will hit the ground
When the drop hits the ground,
[tex]h(t) = 0[/tex]
So, we have:
[tex]0 = -5t^2 + 14t + 3[/tex]
Rewrite as:
[tex]5t^2 - 14t - 3 = 0[/tex]
Expand
[tex]5t^2 + t - 15t - 3 = 0[/tex]
Factorize
[tex]t(5t + 1) -3(5t + 1) = 0[/tex]
Factor out 5t + 1
[tex](t -3)(5t + 1) = 0[/tex]
Split
[tex]t -3 = 0[/tex] or [tex]5t + 1 = 0[/tex]
Solve for t
[tex]t = 3[/tex] or [tex]5t = -1[/tex]
Time cannot be negative.
So:
[tex]t = 3[/tex]
BRO PLEASE HELP I NEED THIS STUFF IN AN HOUR PLEASE...
Answer:
They Have The Same Y-Intercept.
Function 2's y-intercept is -5.
Function 1 y-intercept could be found by inputting 0 as r.
p=0-5
p=-5
Meaning, they're equal.
help me with this math question gr 8 math please
Answer:
C = 112, A = 150, D = 30, B = 38
Step-by-step explanation:
I solved C first using:
30+38+c = 180 (angles along a straight line should add up to 180 since a whole circle is 360)
-
I solved A by looking across from C.
Angles on opposite sides should mirror each other but A includes 38* + C
Just by doing 112 + 38 you get 150.
-
I solved D by looking at 30*, alternative interior angles are the same so D is 30*.
-
I solved B by taking C (112) and D (30) and adding them together and subtracting from 180.
Interior angles of a triangle should all add up to 180,
112 + 30 + B = 180
From this I got that B was 38.
Alternatively you can find this out by looking at the 38 degrees, corresponding congruent angles are always the same.
I suggest reviewing this angles sheet if you're ever stuck in the future.
Answer:
C = 112, A = 150, D = 30, B = 38
Step-by-step explanation:
Isaac owes \$8,100$8,100 on his credit card. The bank charges an annual interest rate of 21.9%, compounded monthly. If Isaac wants to pay off his credit card using equal monthly payments over the next 16 months, what would the monthly payment be, to the nearest dollar?
Answer:
[tex]M=\$605.58[/tex]
Step-by-step explanation:
From the question we are told that:
Issac's Debit [tex]P=\$8100[/tex]
Annual interest rate [tex]r=21.9\%[/tex]
Number of payments [tex]n=16[/tex]
Generally the equation for Monthly payment is mathematically given by
[tex]M=\frac{Pr}{1-(1+r)^-^n}[/tex]
[tex]M=\frac{1800*0.0219}{1-(1+0.0219)^-^{16}}[/tex]
[tex]M=\$605.58[/tex]
Therefore Payment for each month is given as
[tex]M=\$605.58[/tex]
The perimeter of a square is 12x - 8. Which of the following is the length of
one side of the square?
Answer:
3x-2
Step-by-step explanation:
12x-8/4 = 3x-2 is one side length of a square
Two wires are attached 6 feet up a tree and 3 feet from the base of the tree. About how much TOTAL wire was used?
Answer:
9 cm²
Step-by-step explanation:
Two wires are attached 6 feet up a tree and 3 feet from the base of the tree. About how much TOTAL wire was used?
We solve the above question, using the Area of a Triangle
Area = 1/2 × Base × Height
Area = 1/2 × 3 × 6
Area = 9 cm²
Therefore, the total wore that was used was 9cm² of wire
Determine if each pair of triangles is congruent. If so, write the congruence
statement and explain how you know the triangles are congruent.
Answer:
top one, yes. by the SSS theorem
bottom one, no. The bases are not congruent
Step-by-step explanation:
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
In a circle with a 12-inch radius, find the length of a segment joining the midpoint of a 20-inch chord and the center of the circle.
x =
Answer:
X=295.6
Step-by-step explanation:
I took the test
Answer:
295.6
Step-by-step explanation:
Halla X
Para una practica de 11 mins q-q
The athletic department manager purchased a total of 52 footballs and soccer balls. Each football cost $23.53, and each soccer ball cost $19.86. If the manager spent a total of $1,120.80, how many soccer balls did the manager purchase?
Answer:
The manager purchased 28 soccer balls.
Step-by-step explanation:
Since the information states that the athletic department manager purchased a total of 52 balls, you can say that the result of adding up the number of footballs and soccer balls purchased is 52, which can be expressed as:
x+y=52, where:
x is the number of footballs purchased
y is the number of soccer balls purchased
Also, as the statement indicates the price of each type of ball and the total cost, you can say that adding up the results of multiplying the price of each ball for the quantity purchased is equal to the total amount spent, which is:
23.53x+19.86y=1,120.80
Now, you have 2 equations:
x+y=52 (1)
23.53x+19.86y=1,120.80 (2)
To be able to find the value of x and y, first you can isolate x in (1):
x=52-y (3)
Then, you can replace (3) in (2) and solve for y:
23.53(52-y)+19.86y=1,120.80
1,223.56-23.53y+19.86y=1,120.80
1,223.56-1,120.80=23.53y-19.86y
102.76=3.67y
y=102.76/3.67
y=28
Finally, you can replace the value of y in (3) to find the value of x:
x=52-28
y=24
According to this, the answer is that the manager purchased 28 soccer balls.
A city council consists of sevenseven Democrats and eighteight Republicans. If a committee of fivefive people is selected, find the probability of selecting twotwo Democrats and threethree Republicans.
Answer:
The probability of selecting two Democrats and three Republicans is 10.7%.
Step-by-step explanation:
Given that a city council consists of seven Democrats and eight Republicans, if a committee of five people is selected, to find the probability of selecting two Democrats and three Republicans the following calculation must be performed:
7 = 100
2 = X
2 x 100/7 = X
28.57 = X
8 = 100
3 = X
3 x 100/8 = X
37.5 = X
0.2857 x 0.375 = X
0.107 = X
0.107 x 100 = 10.7
Therefore, the probability of selecting two Democrats and three Republicans is 10.7%.
What is the approximate volume?
Answer:
B
Step-by-step explanation:
1) find the base area
base area = side^2 = 30^2 = 900 m^2
2) find the Volume
V = (base area x height)/3 = (900 x 21)/3 = 6300 m^3
Answer:
B) 6,300 m³
Step-by-step explanation:
The volume of approximate = L×W×H/3
30×30×21/3=
answer: 6,300
[tex]**************[/tex]
hope it helps...
have a great day!!
Simplificación de la raíz cuadrada de 50
Answer:[tex]5\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{50}[/tex] ==>
2x25 ==> El 25 lo puedes reducir más ==> 5x5
Como el 5 tiene dos numero que se multiplican por si mismo se convierte en uno solo y va fuera de la raiz cuadrada.
Como el 2 que multiplicaste por 25 ya no se puede reducir y no tiene par, va adentro de la raiz cuadrada.
Resultado:
[tex]5\sqrt{2}[/tex]
. John buys 3 balloons for $4.80 at Party Town. Karyn buys 4 balloons for $6 at Celebrate City. How much more did John pay per individual balloon? А $1.60 B $1.50 C $1.10
Answer:
John paid $1.60 per balloon while Karyn pain $1.50 per balloon.
Step-by-step explanation:
4.80 divided by 3 = 1.60
6 divided by 4 = 1.50
I bought a 5lb bag of sugar. I used 1 2/3 for cookies and 2 3/4 for cake. How much sugar do I have left?
Answer:
7/12lb
Step-by-step explanation:
5-1 2/3-2 3/4
=5-5/3-11/4
=10/3-11/4
=40/12-33/12
=7/12lb
Answer:
[tex]\frac{7}{12}[/tex]
Step-by-step explanation:
There was an initial amount of 5 lbs.
[tex]1\frac{2}{3}+2\frac{3}{4}=4\frac{5}{12}[/tex]
4 (5/12) of the sugar was used.
[tex]5 - 4\frac{5}{12}=\boxed{\frac{7}{12}}[/tex]
(7/12) of sugar should be remaining.
Hope this helps.
If 10x+6y=7 is a true equation, what would be the value of 6(10x+6y)?
Answer:
42
Step-by-step explanation:
We know that 10x + 6y = 7, and so
6(10x + 6y) = 6(7) = 42
can someone help me please this is a major grade
Answer:
$7.63
Step-by-step explanation:
well 6/10 is the same as 0.6 and 3/100 is the same as 0.03
so when you add the 7and 0.6 =7.6 +0.03=7.63
Answer:
7.63
Step-by-step explanation:
7 dollars - 7.00
0.6 dollar - 0.6
0.03 dollar - 0.03
(becoming)
7.00
0.6
0.03
-----------
$7.63
^line up the decimals while adding
Hopefully this helps,
-Rose
wha the MIDPOINT of (-6, 8) and (6, -7)
Answer:
here you are:
the midpoint for (-6,8) and (6,-7) is (0, 1/2)
Step-by-step explanation:
the midpoint for (-6,8) and (6,-7) is (0, 1/2)
[tex]38+7·(x-3)=9·(x+1)[/tex]
[tex]38 + 7x - 21 = 9x + 9[/tex]
Combine like terms.
[tex]17 + 7x = 9x + 9[/tex]
Eliminate a x.
[tex]17 = 2x + 9[/tex]
[tex]8 = 2x[/tex]
[tex]x = 4[/tex]
38 + 7x - 21 = 9x + 9
7x + 17 = 9x + 9
Subtract both sides 9
7x + 17 - 9 = 9x + 9 - 9
7x + 8 = 9x
Subtract sides 7x
7x - 7x + 8 = 9x - 7x
8 = 2x
Divide both sides by 2
8 ÷ 2 = 2x ÷ 2
x = 4
Use PEMDAS to evaluate the expression 7 x 6 + 8 − 16 ÷ 4.
Answer:
7x^6 + 4
Step-by-step explanation:
Can someone please me
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The various forms of the expression use the relation ...
-5 1/4 = -5 + -1/4 = -(6 -3/4) = -6 +3/4
Of course, the minus sign in a product can be moved around according to the associative and commutative properties of multiplication.
(8)(-5 1/4)
= (8)(-5 + -1/4)
= 8(-5) +8(-1/4)
= 8(-5) -8(1/4)
= 8(-6 +3/4)
Attached is the non-equivalent expression.
answer for 30 points and brainilest
answer choices are : $168 , 9 , 158 , 10 , 30 , 157 , $100 , 32, $4 , 85 , $167 , 84 , $99 , $46 , $45 , $3
Answer:
1.10 2.158 3.157 4.100. 5.32 6. 168 7.99 8.46 9.3
Step-by-step explanation:
Answer:
9, 84, 30, 10, 157, 45, 168, 3, 100, 99
Step-by-step explanation:
Help please (don’t judge my writing) The frequency table shows the number of Dewey Middle School students who volunteered for the Toy Drive project.
What % of the volunteers were 6th graders?
Answer:
33%
Step-by-step explanation:
(68/206) × 100 = 33%
the answer is 33%
factor completely;
3x^2+4x-7
Answer:
(3x-7) (x+1)
Step-by-step explanation:
3x^2 - 4x - 7
First split the middle term
3x^2 + 3x - 7x - 7
Make into two separate expressions
(3x^2 + 3x) (-7x-7)
Take out what you can
3x (x+1) -7 (x+1)
Now you have your answers
(3x-7) (x+1)
Mrs. Byrne’s class went raspberry picking. The data below show the weights of the cartons of raspberries the students picked.
What is 1\10 x 1.2 >>>>>>>>>>>>>>>>>>>>>>>>
Answer:
1/10 x 1.2 is 0.12
Step-by-step explanation:
so yeeeeeeee
If it snows tomorrow, the probability is 05 that John will practice his trombone. If it does not snow tomorrow, there is only a 0.6 chance that John will practice. Suppose the chance of snow tomorrow is 70%. What is the probability that John will practice his trombone?
Answer:
54 percent
Step-by-step explanation:
The final probability is a weighted average of the going to play probabilities determined for each weather scenario:
P(John performs cello; provided that it rains) * P(it rains) + P(it rains) + P(it rains) + P(it rains) + P(it rains) +
If it doesn't rain, P(John plays cello) * P(it doesn't rain) =
0.54 = 0.6 * 0.7 + 0.4 * 0.3
The likelihood is 54 percent.
another one! please help ..
Answer:
n has to be negative
Step-by-step explanation:
To solve this equation, 15 has to be subtracted from 2 which is negative
Since n is positive then the overall result will be negative
Determine if the expression 9y^5+ y − 3y^3is a polynomial or not. If it is a
polynomial, state the type and degree of the polynomial.
A recipe calls for 1/2 of a teaspoon of sugar for every 15 cookies. If you are going to make 75 cookies for a party, how many teaspoon of sugar will you use.
Answer:
2.5 teaspoons
Step-by-step explanation:
75/15 = 5
1/2 · 5 = 2.5
Answer:
2.5 teaspoons of sugar
Step-by-step explanation:
[tex]\frac{15}{0.5} =\frac{75}{y}[/tex]
Cross multiply.
15 × y = 0.5 × 75
15y = 37.5
15y ÷ 15 = 37.5 ÷ 15
y = 2.5
