The polynomial
f(x) =2ˣ² - 5x + 3
Find :zeroes of the polynomial f(x)= 2x² - 5x + 3
Solution :By factorizing we have ,
→ 2x² - 5x + 3
→2x² -2x - 3x + 3
→2x(x-1)-3(x-1)
→(2x-3)(x-1)
Now the zeroes are
→ 2x - 3 = 0 and → x - 1 = 0
→ x = 3/2 and → x = 1
Verification of relation
Sum of the zeroes = -b/a
⇒ 3/2 + 1 = -(-5/2)
⇒ (3+2)/2 = 5/2
⇒ 5/2 = 5/2
Product of the zeroes = c/a
⇒ 3/2×1 = 3/2
⇒ 3/2 = 3/2
Verified
I hope it will help you.
Regards.
A triangular prism has a height of 9 meters. The area of the triangular base measures 16 square inches. What is the volume of the triangular prism?
15 cubic meters
60 cubic meters
72 cubic meters
144 cubic meters
Answer:
the volume 60 cubic meters. I hope this helps you you :)
Step-by-step explanation:
Han ran 10 meters in 2.7 priya ran 10 meters in 2.4 seconds
Who ran faster?
Answer:
Han ran faster
Step-by-step explanation:
Answer:
priya
Step-by-step explanation:
HELP ASAP!
What are the x and y-intercepts of the line described by the equation?
4x−8y=40
Enter your answers in the boxes.
The x-intercept (10, 0) and the y-intercept (0, -5) for the given equation of line 4x − 8y = 40.
What is x-Intercept?The x-intercept is defined as an intercept that is located at the x-axis of the plane, which is the location or coordinates from where the line crosses.
The equation is given in the question
4x − 8y = 40
We have to determine the x and y-intercepts for the given line
To find out the x-intercept, substitute the value of y = 0 in the given equation
4x − 8(0) = 40
4x − 0 = 40
4x = 40
x = 10
Thus, the x-intercept is (10, 0)
To find out the y-intercept, substitute the value of x = 0 in the given equation
4(0) − 8y = 40
0 - 8y = 40
8y = - 40
y = -5
Thus, the y-intercept is (0, -5).
Hence, the x-intercept (10, 0) and the y-intercept (0, -5) for the given equation of line 4x − 8y = 40.
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What is the y intercept
Answer:
3
Step-by-step explanation:
Look at the y axes then count to where the line meets it
Answer:
The y-intercept is the point where the line crosses the y-axis.
Step-by-step explanation:
I hope you found this helpful.
Yoko bought 27 pounds of flour for $12. How many pounds of flour did she get per dollar? Round to the nearest hundredth if necessary. I really need help!
amswer:
2.3
Step-by-step explanation:
she spent 2.3 cents
(im so sorry if this is wrong, if this is then bruh)
if y varies directly with x and y =28 when x = 4 what is y when x = 3 show all your work
Answer: y = 4x
Step-by-step explanation:
the initial statement is
y
∝
x
to convert to an equation multiply by k the constant
of variation
⇒
y
=
k
x
to find k use the given condition
y
=
28
when
x
=
7
y
=
k
x
⇒
k
=
y
x
=
28
7
=
4
If you borrow $500 for 4 years at
an annual interest rate of 6%, how
much will you pay altogether?
500×6/100×4=120 500+120=620
Step-by-step explanation:
[tex]\frac{500}{1}[/tex]×[tex]\frac{4}{1}[/tex]×[tex]\frac{6}{100}[/tex]=
Anything divided by one gives itself.
500*(4/1)*(6/100)
Anything divided by one gives itself.
500*4*(6/100)
Multiply 500 and 4 to get 2000.
2000*(6/100)
Reduce the fraction 6/100 to the lowest terms by extracting and canceling out 2.
2000*(3/50)
Express 2000×(3/50) as a single fraction.
[tex]\frac{2000*3}{50}[/tex]
Multiply 2000 and 3 to get 6000.
6000/50
Divide 6000 by 50 to get 120.
120
Add 500 to 120 because it is just your interest rate
500+120=620
You then get your full payment and it is $620.
CAN SOMEBODY HELP ME PLEASE!!!
Answer:
maybe scan the pages or take the pictures in better quality and better lighting.
Step-by-step explanation:
please pass this on... ( #helpsavelives )
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
Answer:
Maybe scan the pages or take the pictures in better quality and better lighting.
Its really hard for me to read them
And possibly state which questions you need help on. :)
PLEASE HELP ALGABRA 1 !
Russ told a friend that when he visited Canada the average temperature was 12 degrees Celsius. The Formula below shows the relationship between degrees Celsius,°C and degrees Fahrenheit, °F .
C =5/9 (F-32)
Which of these is closest to the average temperature, in degrees Fahrenheit, for Russ' visits ?
A. 39 °F
B. 45 °F
C. 54 °F
D. 79 °F
Answer:
C.
Step-by-step explanation:
Find two fractions equivalent to each fraction of 8/36
Answer:
Thus, 2/9 is the simplified fraction for 8/36 by using the GCD or HCF method. Thus, 2/9 is the simplified fraction for 8/36 by using the prime factorization method.
Step-by-step explanation:
The two equivalent fractions for the given fraction are 4/18 and 2/9.
The given fraction is 8/36.
The equivalent fraction will be obtained by dividing or multiplying both the numerator and denominator of the fraction by same number.
Here, divide both the numerator and denominator by 2, we get
(8÷2)/(36÷2)
= 4/18
Again divide both the numerator and denominator by 2, we get
(4÷2)/(18÷2)
= 2/9
Therefore, the two equivalent fractions for the given fraction are 4/18 and 2/9.
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How many total atoms are there in CuCl3
Answer:
4
Step-by-step explanation:
Cbghsgnrtjurshtjfikydtku
write the linear equation in standard form y=6x-4
Answer:
6x-y=4 is the answer.........
When Logan left his house this morning, his cell phone was 24% charged and it then started to lose 3% charge for each hour thereafter. Write an equation for B,B, in terms of t,t, representing the charge remaining in Logan's battery, as a percentage, tt hours after Logan left his house.
.
Answer:
Step-by-step explanation:
b=3% charge
t=6 hours
24%-6t/3
A formula for b = 3% charge, a formula for t = 6 hours, and a formula for 24% - 6t/3 hours after Logan left his house.
What is meant by equation?In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. For example, 3x + 5 = 14 is a calculation in which 3x + 5 and 14 are two manifestations separated by the a 'equal' sign.An equation is a mathematical expression that includes the equals sign. Algebra is frequently used in equations. When you don't know the exact number in a calculation, you use algebra. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example. x is a variable in the preceding example.
Therefore,
A formula for b = 3%
A formula for t = 6 hours
A formula for 24% - 6t/3 hours after Logan left his house.
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Sales of cases of bottled water are up 7% from last year. You sold 900 cases of bottled water last year. Based on current percentage demand trends, what would the forecast be for total sales of cases of bottled water in 3 years.
a) 1,180
b) 1,285
c) 1,615
d) 1,770
The mass of a mineral is 9.6 g. The mineral is placed in a graduated cylinder containing 8.0 mL of water. The water level rises to 16.0 mL. What is the mineral density ?
The volume of the mineral = increase in volume of the water whuich is 16 - 8 = 8mls.
Therefore the mineral's density = 9.6 / 8
= 1.2 g/ ml answer
For his phone service, Kevin pays a monthly fee of $24, and he pays an additional $0.05 per minute of use. The least he has been charged in a month is
$89.45.
What are the possible numbers of minutes he has used his phone in a month?
Use m for the number of minutes, and solve your inequality for m.
Answer:
1,509 minutes
Step-by-step explanation:
An object is 4900 ft above the ground. The object falls, and its height is given by the quadratic function: h(t) = −16t 2 + 4900 . The height of the object above the ground is in feet and the time, t, is in seconds. Determine when the object hits the ground.
Answer:
Step-by-step explanation:
The the height of an object modeled by the function
h(t) = −16t^2 + 4900
The object hits the ground when h(t) = 0
The equation becomes:
0 = −16t^2 + 4900
-16t² = -4900
t² = 4900/16
t² = 306.25
t = √306.25
t = 17.5 secs
This means that the object hits the ground after 17.5secs
Lebron has scored 168 points in the first 6 games of the basketball season. How many points per game has Lebron scored? Group of answer choices
Answer:
vh
Step-by-step explanation:
Answer:
28 points per game Lebron scored
Step-by-step explanation:
Given:
168 points and 6 games
Unknown:
score per game
Solution:
score per game = 168 ÷ 6
Final Answer:
score per game = 28 points per game Lebron scored
The depth of a lake in Greenpoint changes over time due to rainfall and evaporation. This year it was 539 feet, which is 10% deeper than it was last year. What was last year's depth
Answer:
485.1 feets
Step-by-step explanation:
Given that:
Depth of Lake changes over time due to Rainfall and evaporation :
Depth this year = 539 feets
Depth this year is 10%deeper than last year's depth
Depth last year will be ;
Since, this year's depth is greater Than last year :
depth last year equals ; (depth this year - 10% of depth this year)
Depth last year:
539 - (0.1 *539)
539 - 53.9
= 485.1 feets
If the probability of a chance event is 0.6, it is more likely to happen than which of the following probabilities of another chance event?
A.0.8
B.0.7
C.0.5
D.1
Answer correctly and ill make you brainliest
Answer:
The answer would be 0.8
Describe the
relationship between two(______)in a graph.
-what’s the missing word?
patti and her family were going on a vacation to Florida they drove 8 ½ hours on sunday and 7 ½ hours on Monday, if the entire trip was going to take them 19 ½ hours, how much longer, do they need to drive
Answer:
3½ thats the answer your welcome
Which equation best represents a line perpendicular to a line passing through points (-1, 2) and (1,–8)?
O y = -5x - 3
Oy=52 - 2
O y = 5x + 2
O y=-10 - 2
Answer:
y=-5x-3
Step-by-step explanation:
put -1 and 1 in equation and you will get the answer
The equation that best represents a line perpendicular will be y = - 5x - 3. Then the correct option is A.
What is the equation of a perpendicular line?Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0
The equation of the line passing through (-1, 2) and (1, -8). Then the equation of the line will be
y + 8 = [(-8 - 2) / (1 + 1)] (x - 1)
y + 8 = -5x + 5
y = - 5x - 3
The equation that best represents a line perpendicular will be y = - 5x - 3. Then the correct option is A.
More about the equation of a perpendicular line link is given below.
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ANSWER FAST FOR BRAINLIEST AND FIVE STARS AND THXS
What key words would tell you it's a two step problem? (SELECT ALL)
Question 2 options:
Total Bill
Amount of Savings
Sale Price
Final Cost
Price with Tax
Discount
Commission
Answer:
Step-by-step explanation:
amount of savings, final cost
Answer:
Total Bill
Sale Price
Final Cost
Price with Tax
Discount
Commission
hope this helps =)
Step-by-step explanation:
A soccer ball is kicked at a velocity of 25 meters per second. The following table shows the horizontal distance (in meters) at different angles of elevation (in degrees), ignoring wind resistance.
Angle of Elevation Distance Traveled
15 31.9
25 48.8
30 55.5
45 63.8
50 62.8
55 59.9
60 55.5
70 41.0
Using a graphing or online calculator, graph this set of data on a scatter plot for reference. Then, in two or more complete sentences, explain why a quadratic function should be used to model this set of data.
Answer:
13.2m
Step-by-step explanation:
the initial vertical velocity of the ball is 25 sin 40 = 16.1m/s
since gravity reduces the vertical velocity of objects by 9.8m/s/s, this ball will reach max altitude in a time of
time = 16.1m/s / 9.8m/s/s = 1.6s
the max height is equivalent to the height an object will fall in 1.6s, so we have
height =1/2 g t^2 = 1/2 x 9.8m/s/s x (1.6s)^2 = 13.2m
1) associative property of union
(AUB) U C(BUA)
7. Factor this expression completely. -3x - 12
Answer:
Answer:
-3x - 12=-3(x+4)
Answer: positive 4
Step-by-step explanation:
will give u brianliest
Answer:
x = 110 degrees
Step-by-step explanation:
A straight angle measures 180 degrees.
180 - 70 = 110
A freight elevator can carry a maximum cargo weight of 100,000 pounds . A convention center uses one of these elevators to move 2,500 pound containers. The total cargo weight is a function of the number of containers in the freight elevator and can be modeled by the equation f(x)=2500c . What is the domain and range?
Answer:
Domain: [0, 4]
Range: [0, 100000]
Step-by-step explanation:
Given the function:
[tex]f(x)=2500c[/tex]
Where [tex]c[/tex] is the number of container that can be carried by the freight elevator and
[tex]f(x)[/tex] is the total cargo weight.
Domain of any function is defined as the values that can be given as input and
Range of any function is defined as the values that can be of output.
Weight of each container = 2500 pound
Maximum weight that can be carried by the freight elevator = 100,000 pounds
Here, input is the number of containers.
Minimum of which can be 0 and maximum can be [tex]\frac{100000}{2500}=4[/tex]
So, domain is [0, 4] i.e. any value from {0, 1, 2, 3, 4}
Range is [0, 100000] i.e. any value between 0 and 100000 including both the values.
min max of (x) = 4x² + 8x - 3
Answer:
(1/1)
Step-by-step explanation: