Answer:
x = -1 and x = 3
Step-by-step explanation:
f(x)= x^2-2x-3
f(x) = (x + 1) (x - 3)
Therefore, x = -1 and x = 3
The zeroes of the quadratic function f(x) = x² + 2x - 3 will be 1 and negative 3.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The quadratic equation is given below.
f(x) = x² + 2x - 3
Then the factor of the quadratic equation will be
f(x) = x² + 2x - 3
f(x) = x² + 3x - x - 3
f(x) = x(x + 3) - 1(x + 3)
f(x) = (x + 3)(x - 1)
The zeroes of the function will be
f(x) = 0
(x + 3)(x - 1) = 0
x = 1, -3
Then the zeroes of the quadratic function f(x) = x² + 2x - 3 will be 1 and negative 3.
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ5
Angela and Tyler are selling tickets for a charity football game. Students will get a discount for the game. Angela sells 6 adult ticket and 10 student ticket for $122. Tyler sells 11 adult tickets and 5 student tickets for a total of $157. What is the of an adult ticket and what is the price of a student ticket?
A, Define your varibles and write a system of equations that represents the ticket sales for both Angela and Tyler.
let x=
Let y=
system of equation:
B' Solve system of equation
c' Write answer using a complete sentence.
Answer:
Step-by-step explanation:
Let’s say that the price of an adult ticket is x and a student ticket is y.
we know that 6 adult tickets (6x) and 10 student tickets (10y) equal 122, so 6x+10y=122. Then, 11x+5y=157
6x+10y=122
11x+5y=157
Multiply the first equation by -1/2 and add it to the second to cancel out the y
8x=96
x=12
Plug this back in to equation 2 to find y
132+5y=157
y=5
Checking this with the first equation, it all works out.
The price of an adult ticket for a charity football game is $12, while the price for a student ticket for the same game is $5
Find the perimeter of a regular hexagon with a side of 8 meters
Answer:
8 x 6 = 48
Step-by-step explanation:
Hexagon = 6 sides
8 x 6 = 48
Answer:
48 meters
Step-by-step explanation:
A regular hexagon has six sides, all six sides are the same length. So you have to add 8 meters six times. Or just multiply 6 by 8. So you get 48 meters.
39 less than the product of a number and 13 is 39
Answer:
13n - 39 = 39
Step-by-step explanation:
Let the number be n. Then we have 13n - 39 = 39
what is the area of a sector created by a circle with a radius of 4cm and a 40 central angle
Answer:
5.59 cm
Step-by-step explanation:
I had set up a proportion. The proportion is below.
360° 50.27
------- = ----------
40° ? (What you're trying to figure out)
So what I did was 50.27 times 40 which equals: 5.58555556, so I rounded it to 5.59 so that's your answer!
I hope that's helpful :D
PLS HELP WITH TRIG NEED TO SHOW ALL WORK
Answer:
see explanation
Step-by-step explanation:
tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
tan C = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{4}{2}[/tex] = 2
Please I need help with my geometry math assignment with 13C and is Almost soon to due and I been struggling and needing help on it I try my best and don’t work out for me so I will mark your guys brainlist
Answer: y = 2x + 2
Step-by-step explanation:
To find the slope of a line perpendicular to another line, you take the slope of the other line and flip it (find the negative reciprocal) and make it negative.
In this case, -1/2 would become 2. 2 is now the slope of the line perpendicular to the other line.
Since the line passes through (1, 4), we can plug the point in - the line will be
y = 2x + 2.
Answer:
y=2x+2.
Step-by-step explanation:
Honestly the perpendicular flipping didn't make sense, but somehow google thought so, so ill leave it at this, if you need more help, just message me.
Solve –3d + 5 = 14.
–57
12
–27
–3
Answer:
d = -3
Step-by-step explanation:
–3d + 5 = 14.
Subtract 5 from each side
–3d + 5-5 = 14-5
-3d = 9
Divide each side by -3
-3d/ -3 = 9/-3
d = -3
Answer:
[tex]d = - 3[/tex]
last answer is correct
Step-by-step explanation:
[tex] - 3d + 5 = 14 \\ - 3d = 14 - 5 \\ - 3d = 9 \\ \frac{ - 3d}{ - 3} = \frac{9}{ - 3} \\ d = - 3[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
answer this plzzz 30 POINT EXTRAAA!!!!!!
Answer:
the fourth answer choice
Step-by-step explanation:
Here we're dividing one fraction by another. To accomplish this, invert the divisor (the second) fraction and multiply instead:
4m^12 8m^3
------------ * ----------
x + 1 x^2
Multiplying the two numerators together results in 32 m^15. This matches the fourth answer choice.
Identify the terms and the like terms in this expression.
7 + a – 2 + 3a + b^2
Which statements are true? Check all that apply.
a. The expression contains seven terms.
b. The terms in the expression are 7, a, 2, 3a, b2.
c. Constants are like terms.
d. 2 and b2 are like terms because they both contain the number 2.
e.a and 3a are like terms.
f. a, 3a, and b2 contain variables, so they are like terms.
Answer:
B, C, E
Step-by-step explanation:
I took the test and I got it right
Answer: B C E
Step-by-step explanation: Edge 2020-WAiT! It’s not 2020 any MORE! Anyways edge 2021
When 240 sixth-grade students were polled, results showed that 96 students were dissatisfied with the music played at the school dance. What percentage of the sixth-grade students does this represent? Use at least 2 strategies.
Answer:
40%
Step-by-step explanation:
one strategie is doing proportions
96/240= ?/100
simplify 96/240= 2/5
so 2/5=?/100
multiply 100 by 2
then divide it by 5
another strategie is putting it into a decimal and percent
96/240= 2/5
in decimal is 0.40
move the decimal twice to the right and you get 40%
gerald accepted a job as jazz pianist after being offered a $425 signing bonus l, if he makes $24 an hour, which equation models gerald's total pay y, in dollars, as it relates to the number of hours x that he works ?
Answer:
425+24x=y
Step-by-step explanation:
Answer: y=425x + 24
Step-by-step explanation: :PP
Solve for
theta in the interval 0 ≤ theta≤ 2 pi
cos theta sin theta − 1/2 sin theta=0
Answer:
< theta international
Which expression should you simplify to find the 90% confidence interval,
given a sample of 64 people with a sample proportion of 0.55?
Step-by-step explanation:
CI = p ± z √(pq/n)
For 90% confidence, z = 1.645.
CI = 0.55 ± 1.645√(0.55 × 0.45 / 64)
The expression to find the 90% confidence interval is
[tex]CI = 0.55 + 1.645 \sqrt{\frac{0.55 ( 0.45)}{64} }[/tex]
What is confidence interval?A confidence interval is a range of estimates for an unknown parameter. A confidence interval is computed at a designated confidence level; the 95% confidence level is most common, but other levels, such as 90% or 99%, are sometimes used.
CI z
0.70 1.04
0.75 1.15
0.80 1.28
0.85 1.44
0.90 1.645
0.92 1.75
0.95 1.96
0.96 2.05
0.98 2.33
0.99 2.58
According to the question
Data of people = 64
Data proportion (P) = 0.55
The 90% confidence interval
therefore, [tex]z_{c}[/tex] = 1.645
CI = P± [tex]z \sqrt{\frac{P ( 1-P}{N} }[/tex]
substituting the value
[tex]CI = 0.55 + 1.645 \sqrt{\frac{0.55 ( 0.45)}{64} }[/tex]
CI = 0.5563
Hence, expression to find the 90% confidence interval is
[tex]CI = 0.55 + 1.645 \sqrt{\frac{0.55 ( 0.45)}{64} }[/tex]
To know more about confidence interval here:
https://brainly.com/question/24131141
#SPJ2
The dimensions of a rectangle are x+4 and 3x-1. Write an expression to represent the area of the rectangle.
Answer:
9x^4 - 6x^3 + 97x2 - 88x + 16
Step-by-step explanation:
so (x + 4)(x + 4) = x^2 + 8x + 16 is the total length of the rectangle, and
(3x - 1)(3x - 1) = 9x^2 - 6x + 1, if you multiply each other, because Area = length times width, then you get the area.
(9x^2 - 6x + 1)(x^2 + 8x + 16) = 9x^4 + 72x^2 + 144x^2 - 6x^3 - 48x^2 - 96x + x^2 + 8x + 16, and then you add them all together = 9x^4 - 6x^3 + 98x^2 - 96x + 8x + 16 = 9x^4 - 6x^3 + 97x2 - 88x + 16
A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream
Answer:
t=4h
Steps below
Step-by-step explanation:
We know:
speed of boat with respect to earth: 13 km
speed of stream with respect to earth: 4 km
13 km/h + 4 km/h = 17 km/h The time to travel 68 km with this speed is thus t = 68 km 17 km h = 4 h
Hope this helps.
a new school has a teacher to student ratio is 2:15. the school has 42 teachers. how many students are there in the school?
Answer:
315
Step-by-step explanation:
42÷2 = 21
2×21 = 42
So, 15×21 = 315
315÷21 = 15
Answer:
315
Step-by-step explanation:
42÷2 = 21
2×21 = 42
So, 15×21 = 315
315÷21 = 15
Which equation can be used to find m, the midpoint of the
two numbers?
(m - 5)(m + 5) = 99
(m - 10)(m + 10) = 99
m2 - 25 = -99
m² – 100 = -99
Answer: D
Step-by-step explanation:
Answer:the correct answer is D
Simplify negative 5 and 1 over 4 − negative 7 and 1 over 2. Which of the following is correct?
2 and 1 over 4
12 and 3 over 4
negative 2 and 1 over 4
negative 12 and 3 over 4
negative 12 and 3 over 4
If (x + y)^2 = 1 and xy = -4, what is the value of x^2 + y^2?
Answer:
[tex](x + y)^{2} = 1\\xy = -4\\x^{2} + y^{2} \\= x^{2} + 2xy + y^{2} - 2xy \\= (x^{2} + 2xy + y^{2}) - 2xy\\= (x+y)^{2} - 2xy\\= 1 - 2 *(-4) \\= 9[/tex]
Hope this helps!
:)
A recipe needs 4/5 cups of butter for every 2 cups of flour. If you plan to use 3 cups of flour, how much butter will you need?
Answer:
1 1/5 cups of butter
Step-by-step explanation:
4/5=2
=3
4/5 x 3=12/5
12/5 / 2
12/5 x 1/2=1 1/5
Evaluate y=(1/5)x
when x=- 3
Answer:
125y
hope this helps
Answer:
Y = 125
Step-by-step explanation:
Michel started to drive from New York to Washington, DC, which is 120 miles away, at 7:00 AM. For the first hour and a half of her trip, Michel was driving at a speed of 50 mph. What was her average speed during the second part of the trip, if she reached Washington at 10:00 AM?
Answer:
30 mph
Step-by-step explanation:
In the NBA, any shot made from 22 feet or more from the basket is worth 3 points. How many yards from the basket is that?
Answer:
22/3 yards, roughly 7.33 yards.
Step-by-step explanation:
We know that there is 3 feet in 1 yard.
Given 22 feet, we divide by 3 to find the amount of yards, thus changing the unit.
The exact amount of yards is just 22/3, which you can estimate to 7.33 yds.
Im not sure about the answer
Answer:
D. 5:7 and 10:14
Step-by-step explanation:
25:35=5:7
5x2=10
7x2=14
Help
Please!!!!!!!!!
Answer:
6 s^9t^3
...............
i need helpp will give brainliest!!!
Answer:
You didnt ask a question or link any work?
Step-by-step explanation:???
Which of the following is equivalent to 7-2( x + 2) <-4 - 3(1 – x)?
(A) -5 x < -10
(B) - X<-16
(C) -2x <-17
(D) 6x<-9
Can someone answer 32 points
Answer:
a= 3/4
Step-by-step explanation:
2/3 x 3/4- 1/6 = 1/3
A line has a slope of -3 and a y-intercept of 3.
6
4 +
3
1
-5 -4 -3 -2 -1
-1,
1
2
3
4 5
Answer:
y = -3x + 3
Step-by-step explanation:
If ... A line has a slope of -3 and a y-intercept of 3, then the equation of that line is y = mx + b => y = -3x + 3. You don't need the table of values.
Can anyone help? I will mark you as brainliest!
｡☆✼★ ━━━━━━━━━━━━━━ ☾
First calculate the area of the field using this equation:
area = (a+b)/2 x h
Substitute the values in:
area = (210 + 190)/2 x 250
area = 50000 m^2
Calculate how many hectares this is:
50000/10000 = 5
This is 5 hectares
Multiply this by the number of kg per hectare
5 x 7200 = 36000
It would produce 36000 kg
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾