Answer:
f(x)= x²+4x-21
a= 1 b=4 c=-21
from [tex]y=ax^2+bx+c[/tex] and [tex]y=x^2+4x-21[/tex] | Compare the coefficients.
Thus the answer is a = 1, b = 4 and c = -21
I need to know the answer to this question?!
Answer:
Answer is C
Step-by-step explanation:
You divide fractions by multiplying with the inverse
[tex]\frac{-3}{8}\\[/tex] * [tex]\frac{9}{5}[/tex] = [tex]\frac{-27}{40}[/tex]
what is 4h-8h in like terms and terms and identify expression
Answer:
4h
Step-by-step explanation:
Expression: 4h-8h=4h
Because both 4h and 8h end in the same variable they can be subtracted when you subtract 4 and 8 you get 4. and You can't forget your variable so you end with 4h
Your expression is a group of terms without an equal sign. 4h and 8h are your terms as well as your answer.
Your expression ends as 4h-8h=4h
Graph the line passing through the given point and having the given slope.
(1,-1), m= - 3/4
Answer: y=-3x/4 -1/4
Step-by-step explanation:
y=mx+b
-1=-3/4 * 1 +b
-1=-3/4 + b
(-1=-3/4 + b)*4
-4=-3+4b
4b=-1
b=-1/4
y=-3x/4 -1/4
Layton conducts an experiment throughout the school year to determine the most common answer
choice used by teachers at his school. The data he collected is shown in the table.
Which of the following is a valid conclusion based on the data he collected?
A. A student would be equally likely to select answer choice C as they would to select answer
choice A and D
B. A student would be equally likely to select answer choice A and B as they would to select
answer choice C
C. A student would be twice as likely to select answer choice C than answer choice A
D. A student would be less likely to select answer choice B than answer choice A
Answer:
pick a because the data is better for that chart
i need help can someone figure these out?
Answer:the 2nd one is 30000 divided by 2000 is 15
Step-by-step explanation: so 15 minutes til they crash the plane
Answer:
1) y= 25x+50
2) y= -2,000x+30,000
3) y= 1.5x+5
Step-by-step explanation:
In each equation, there is a set amount (50 dollars, 30,000 feet, and 5 centimeters) and an amount that is influenced by another variable such as time(25 dollars, 2,000 feet, 1.5 centimeters). Hope this helped :)
The shape is composed of three squares and two semicircles.Select all the expressions that correctly calculate the perimeter of the shape
Answer:
100+20π
Step-by-step explanation:
Find the diagram attached.
Perimeter of a square =4L
L is the side length of a square
From the diagram;
L = 10
Perimeter of a square = 4(10) = 40
Perimeter of 3 squares = 3(40) = 120
2 semi circle = a circle
Perimeter of a circle= 2πr
radius of the Circle = length of a side of the square.
Area of the circle = 2π(10)= 20π
Perimeter of the shape = Perimeter of the two semicircle + area of the 4squares = 100+20π
find the domain of the following equations and solve them
Answer:
Domain → x > 0
Solution → x = 100
Step-by-step explanation:
Given equation is,
[tex]x^{0.5\text{logx}}=0.01x^2[/tex]
Since, log of any number 'x' is defined when x > 0
Therefore, domain of the equation → x > 0
By taking log on both the sides of the equation,
[tex]\text{log}(x^{0.5\text{logx}})=\text{log}(0.01x^2)[/tex]
0.5(logx)(logx) = log(0.01) + log(x²)
0.5(logx)²= -2 + 2log(x)
Let log(x) = a
Then the equation becomes as,
0.5a² = -2 + 2a
0.5a² - 2a + 2 = 0
a² - 4a + 4 = 0
(a - 2)² = 0
a = 2
Since, a = log(x)
log(x) = 2
x = 10²
x = 100
Therefore, solution of the given equation is x = 100.
[tex]\boxed{\boxed{\pink{\tt \leadsto The \ domain \ of \ x \ is \ (0,\infty ). }}}[/tex]
Step-by-step explanation:A equation is given to us and need to find the domain of the equation . So , given equation is ,
[tex]\bf\implies x^{0.5\:log\ x } = 0.01x^2 [/tex]
Now , let's simplify this equation to find the domain of x .
[tex]\bf\implies x^{0.5\:log\ x } = 0.01x^2 \\\\\bf\implies x^{0.5\:log\ x } -0.01x^2 =0 \\\\\bf \implies x^{log \:x^{\frac{1}{2}}} - 0.01x^2=0 \\\\\bf\implies x^{log \ \sqrt{x}} - 0.01x^2=0 [/tex]
Now set the argument in log( √x) Greater than or equal to zero to see where the expression is defined. Since the value of log is non - negative.
[tex]\bf\implies \sqrt{x} > 0 \\\\\bf\implies (\sqrt{x})^2>0^2 \\\\\bf\implies x>0\\\\\bf\implies \boxed{\red{\bf x \in ( 0, \infty ) }}[/tex]
In set builder Notation we can write as ,
[tex]\boxed{\red{\bf \{ x | x > 0 \} }}[/tex]
Hence the domain of x is ( 0 , ∞ ) .Lilian is packing gifts for the needy. She has 240 toys and 180 books to pack
Answer: okay what’s the question?
Step-by-step explanation:
Answer:
she will have to pack 420 items
she could pack 12 items in 35 boxes
Step-by-step explanation:
if you could give the whole question i could help with that
I’m not really sure what to choose..
Answer:
i think it would be SAS, sorry if I'm wrong!
Step-by-step explanation:
9514 1404 393
Answer:
SAS
Step-by-step explanation:
The hash marks on the segments of the triangle indicate congruence. The "one hash mark" segments are congruent to each other, and the "two hash marks" segments are congruent to each other. That is, two corresponding sides are marked congruent.
Similarly, the arc on the angle indicates the angle is congruent to one with a similar mark. We notice that the marked angle is between the sides that have hash marks. So, we have, in order around the triangle, congruent Sides, Angles, Sides. The appropriate choice is ...
SAS
The area of the triangle is 20cm² and the width is 10cm.What is the height of the triangle? Can someone explain it To me step By step?
Answer:
4
Step-by-step explanation:
The formula of an area of a triangle is:
area = height × width ÷ 2
We can put in the values of the area and width first.
20 = height × 10 ÷ 2
20 = height × 5
Shift the (×5) to the left-hand side of the equation, making it (÷5).
20 ÷ 5 = height
height = 4
Answer:
A=1/2b×h
we have,
b=10 cm
A=20cm2
1/2b×h=20cm2
1/210×h=20
5h=20
h=4cm
The distance between two towns is 120km. There are approximately 8 km in 5 miles. What is the approximate distance in miles between the two towns
1. 0.04
2. 0.15
Explanation:i just finished that assignment for properties of probability distributions.
i hope this is what you were looking for!
PLZ HELP I NEED TO PASS MATH LOL, What is the value of the expression (−10)(−7)? Enter your answer in the box.
70
Two negatives make a positive
60 students in a school election 45% voted for aliyah. how many votes did aliyah get?
Answer:
27
Step-by-step explanation:
60 times .45 equals 27
what is the slope of the line please help thank you (picture)
Answer: D
Step-by-step explanation: just think rise over run, everytime it hits a cross in the graph count how many tiles there were between crosses and put the y diffrence on top of the x difference
I want to record some programmes over Christmas. I have 5 hours of space left on my TV recording box. The programmes I want to record are as follows:
Two Ronnies Christmas Special: 1 hour 30 mins
All Creatures Great and Small Christmas Special: 1 hour 45 mins
Die Hard 2: 1 hour 55 mins
How many minutes will I miss because the space ran out
Answer:
10 minutes.
Step-by-step explanation:
5 hours = 300 minutes
90 minutes + 105 minutes + 115 minutes = 310 minutes of programmes.
310-300 = 10 leftover minutes missed
Convert the percentage into a fraction.
3%
Answer:
3/100
Step-by-step explanation:
since every percent is out of 100 if you put into fraction form 3% would turn into 3/100
Answer:
3/100
Step-by-step explanation:
Since its a percentage, it's out of 100!! So, 3 out of 100 is simply 3/100. This one was easier and doesn't provide a large explanation, but I hope this helped!! I'm here if you need any more answers!! :)
What is the prime factorization of 72?
O2-2-3-3-3
O2-2-2-3.3
O2-2-2-3
O2-2-2-5
Answer:
2 * 2 * 2*3*3
Step-by-step explanation:
To get the prime factorization of 72, break 72 down into primes
72 = 9*8
Both 9 and 8 are not prime, so break 9 and 8 down
= 3*3 * 4*2
4 is not prime so break 4 down
= 3 * 3 * 2 * 2 * 2
PLEASE HELP IM GONNA FAIL SENIOR YEAR
Event A occurs with probability 0.2. Event B occurs with probability 0.8. If A and B are mutually exclusive, then
P(A or B) = 0
P(A and B) = 0.16
P(A and B) = 0
P(A or B) = 0.16
both Option a and Option b are true.
By definition, events that are mutually exclusive can not occur together. This means that the probability of event A and event B occuring together is 0
Ben's car needs work. The mechanic charges $140 for parts plus $48 per hour for
labor. The mechanic said the bill will be at least $300. What is the possible number of
hours that the mechanic will work on Joe's car? Use an inequality to solve this problem.
the mechanic will work at least 6hours
please help quickly it is due today
pls answer fast!!! HURRY
Which term can be added to the list so that the greatest common factor of the three terms is 12h3?
36h3, 12h6, __________
6h3
12h2
30h4
48h5
Answer:
The term that can be added to the list so the GCF is 12h3 would be 48h5.
I hope this helped!! :)
Provide two examples that support the healthcare industry’s reliance on metrology for accuracy of instruments.
Answer:
because they need to measure the dosages for the patients.
And because they need to know how to accurately measure the patients height, and weight so they know what dosage to give them.
Step-by-step explanation:
plz mark brainliest
6. 0.3k - 4m (k=20 and m= -2)
The value of the expression 6 + 0.3k - 4m at k = 20 and m = -2 is 20.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression 6 + 0.3k - 4m, The value of the expression can be obtained at k = 20 and m = - 2 if we simply replace this numerical values of k and m which is,
= 6 + (0.3)×20 - 4(-2).
= 6 + 6 + 8.
= 20.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ2
Ben walked 4 miles in a half-hour. Find out how many miles he can walk in an hour
Answer:
8
Step-by-step explanation:
4 miles= 30= half hour x 2 equals 60= hour so its basic math 4 x 2
January 30, 2019 was the coldest day in Minneapolis-St paul i’m over 20 years the lowest temperature recorded that day was -28f the warmest temperature was 15 higher
Answer:
Whats the question?????
What is the new position of the drone relative to the top of the building?
Answer:
The new position of the drone relative to the top of the building would be:
[tex]-12\frac{5}{8}[/tex]Hence, option (B) is correct.
Step-by-step explanation:
Given that a drone flies up [tex]75\frac{3}{4}[/tex] ft above the top floor of a building.
As it flies away from the building and goes down [tex]117\frac{7}{8}[/tex].
Thus, the new position becomes
[tex]75\frac{3}{4}-117\frac{7}{8}[/tex]
[tex]=\frac{303}{4}-117\frac{7}{8}[/tex]
[tex]=\frac{303}{4}-\frac{943}{8}[/tex]
The LCM of 4,8: 8
Adjusting fractions based on LCM
[tex]=\frac{606}{8}-\frac{943}{8}[/tex]
[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{606-943}{8}[/tex]
[tex]=-\frac{337}{8}[/tex]
Converting improper fractions to mixed numbers
[tex]=-42\frac{1}{8}[/tex]
THEN IT RISES ANOTHER [tex]29\frac{1}{2}\:\:[/tex] and HOVERS onwards:
As the drone rises again another [tex]29\frac{1}{2}\:\:[/tex] ft, the final position can be calculated by adding [tex]29\frac{1}{2}\:\:[/tex] ft in [tex]-42\frac{1}{8}[/tex] ft.
i.e
[tex]-42\frac{1}{8}+29\frac{1}{2}[/tex]
[tex]=-\frac{337}{8}+29\frac{1}{2}[/tex]
[tex]=-\frac{337}{8}+\frac{59}{2}[/tex]
The LCM of 8, 2: 8
Adjusting fractions based on LCM
[tex]=-\frac{337}{8}+\frac{236}{8}[/tex]
[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{-337+236}{8}[/tex]
[tex]=-\frac{101}{8}[/tex]
Converting improper fractions to mixed numbers
[tex]=-12\frac{5}{8}[/tex]
Therefore, the new position of the drone relative to the top of the building would be:
[tex]-12\frac{5}{8}[/tex]Hence, option (B) is correct.
How many different axes of symmetry does this parallelogram have?
A. 0
B. 1
C. 2
D. 4
Answer:
B. 1
Step-by-step explanation:
Given parallelogram has only one axis of symmetry.
Solve the following system by substitution:
y = -1x - 5
4x - 8y = 4
Answer:
x = - 3
y = - 2
Step-by-step explanation:
We have y = -1x - 5, so substitute that for y in the second equation:
4x - 8y = 4
4x - 8(-1x - 5) = 4
Now, solve for x:
4x + 8x + 40 = 4
12x + 40 = 4
12x = - 36
x = -3
Now, substitute - 3 in for x in the first equation:
y = -1x - 5 = -1(-3) - 5
y = 3 - 5
y = -2
You can check that these are right by substituting them into:
4x - 8y = 4
4(-3) - 8(-2) = 4
-12 + 16 = 4
4 = 4
So, you know that you solved correctly.
Original Grade: 80
New Grade: 100
Find The Percent Of Increase
?%
I really need to know
Answer:
20%
Step-by-step explanation:
a bus is traveling at a velocity of 25 m/s straight south what effect will an acceleration of 4m/s2 north have on a bus
Answer:
The acceleration will cause the bus to travel for 6.25secs
Step-by-step explanation:
For us to get the effect the acceleration will have on the bus, we need to calculate the time taken by the bus to travel.
Using the acceleration formula;
Acceleration = Velocity/Time
Given
Acceleration = 4m/s²
Velocity = 25m/s
Required
Time
From the formula;
Time = Velocity/acceleration
Time = 25/4
Time = 6.25secs
Hence the acceleration will cause the bus to travel for 6.25secs