Given the quadratic equation: f(x) = x2+4x-21



Identify a, b, and c from your original standard form equation.



a= _____ b= _____ c=_____
PLEASE HURRY

Answer:

27

Step-by-step explanation:

60 times .45 equals 27

1. 0.04

2. 0.15

i just finished that assignment for properties of probability distributions.

i hope this is what you were looking for!

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

Answer:

20%

Step-by-step explanation:

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

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 :)

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

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

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]

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

the mechanic will work at least 6hours

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.

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

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

70

Two negatives make a positive

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

Answer:

8

Step-by-step explanation:

4 miles= 30= half hour x 2 equals 60= hour so its basic math 4 x 2

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]

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]

Answer:

The term that can be added to the list so the GCF is 12h3 would be 48h5.

I hope this helped!! :)

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

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!! :)

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

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

Answer:

pick a because the data is better for that chart

Answer:

The new position of the drone relative to the top of the building would be:

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:

Hence, option (B) is correct.

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

Answer:

B. 1

Step-by-step explanation:

Given parallelogram has only one axis of symmetry.

Answer:

Whats the question?????

The value of the expression 6 + 0.3k - 4m at k = 20 and m = -2 is 20.

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

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