Use the quadratic formula to solve the equation.

2x2 – 7x - 3=0

Enter your answers, in simplified radical form, in the boxes

Answer:

Water in 3 hours = 450 gallons

Step-by-step explanation:

Given that:

Water flows at a rate of 25 gallons in 10 minutes.

10 minutes = 25 gallons

1 minute = [tex]\frac{25}{10}[/tex] = 2.5 gallons

Now,

Time = 3 hours

3 hours = 180 minutes

Quantity of water in 3 hours = 2.5 * 180

Quantity of water in 3 hours = 450 gallons

Hence,

Water in 3 hours = 450 gallons

Answer:

2003 assuming she is 17 right now

Step-by-step explanation:

Answer:

1) x ≤ 8

2) s < 11

3) c ≤ 4.8

Step-by-step explanation:

1) x+9-3≤14

x+6≤14

x ≤ 8

2) 44>7+s+26

44>33+s

s < 44-33

s <11

3) 6.1 - 0.3 ≥ c + 1

5.8 ≥ c + 1

c ≤ 4.8

Answer:

A. there are no solutions

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]1980.65 \div 10[/tex]

[tex]1980.65 \times \frac{1}{10} [/tex]

[tex] \frac{1980.65}{10} [/tex]

[tex]198.065[/tex]

Answer:

15

Step-by-step explanation:

Answer:

He scored 22 points.

Step-by-step explanation:

Anthony scored 5 points. Chareles scored 3 times as much and thats 15. minus 4 is 11. 11 times 2 is 22!

Answer:

give more coins >:(

Step-by-step explanation:

Answer:

Just sub in -6 for d and solve it on your calculator

Step-by-step explanation:

Next time, put a picture of the expression or write it out.

Thanks

Answer:

The answer for this question ( ur exit ticket ) is C .

Answer:

C

Step-by-step explanation:

  We're told that for Sylvia to make a pink paint, he needs to mix 7 cups of white paint to every 3 cups of white paint.

Looking at the options , the correct one is C because it shows that the number of pink paints made.

For instance, if we're to make 1 pink paint , we'll need 7 of white paint and  3 cups of red paint.

If we're to make 2 pink paints, we'll need 14 cups of white paint and 6 cups of red paint

if we're to make 3 pink paints, we'll need 21 cups of white paint and 9 cups of red paint and so forth

PLEASE MARK ME AS BRAINLIEST

Answer:

[tex]112[/tex]

The answer is 112

Answer:

S is closest to B.

Step-by-step explanation:

Given a directed line segment from point A to B.

Point P divides the line A to B in a ratio 3:4.

Point Q divides the line A to B in a ratio 4:3.

Point R divides the line A to B in a ratio 2:5.

Point S divides the line A to B in a ratio 5:2.

To find:

The point which is closest to the point B.

Solution:

Here, to find the point closest to B we need to find the distances PB, QB, RB and SB.

We can see the sum of ratio 3:4, 4:3, 2:5 and 5:2 is 7.

Let the distance between A and B be 7 units.

Now, the distances can be found easily.

[tex]PB = \dfrac{4}{7}\times 7 = 4\ units[/tex]

[tex]QB = \dfrac{3}{7}\times 7 = 3\ units[/tex]

[tex]RB = \dfrac{5}{7}\times 7 = 5\ units[/tex]

[tex]SB = \dfrac{2}{7}\times 7 = 2\ units[/tex]

The point which has the minimum distance from point B, will be nearest to B.

We can clearly observe that SB is the minimum distance.

Therefore, S is closest to B.

The closest point to point B on the line AB is point S

The ratios are given as:

P = 3 : 4

Q = 4 : 3

R = 2 : 5

S = 5 : 2

Given that the point is from A to B, the first ratio proportion represents the position of each point between A and B

So, we remove the second ratio proportion of the above ratios

P = 3

Q = 4

R = 2

S = 5

The point with the highest value is S i.e. 5

Hence, point S is the closest to point B

Read more about ratios and proportions at:

https://brainly.com/question/1781657

the answer is,

[tex] - 4x - 17[/tex]

Answer: 3x -6 (x+2)-(x+5)

Step-by-step explanation:

Distribute the Negative Sign:

=3x−6(x+2)+−1(x+5)

=3x+−6(x+2)+−1x+(−1)(5)

=3x+−6(x+2)+−x+−5

Distribute:

=3x+(−6)(x)+(−6)(2)+−x+−5

=3x+−6x+−12+−x+−5

Combine Like Terms:

=3x+−6x+−12+−x+−5

=(3x+−6x+−x)+(−12+−5)

=−4x+−17

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Answer:

120

Step-by-step explanation:

Trust me!

Answer:

16.37 for a pass on each student counting the teachers also if not counting the teachers it would be 17.18 dollars. For the lunches counting the teachers it would be 8.13 dollars without the teachers it would be 8.54 dollars

Step-by-step explanation:

took the amount of money divided by how many people there are

Answer:

7 < AB < 15

Step-by-step explanation:

AB > 11-4,  AB > 7

AB < 11+4, AB < 15

so 7 < AB < 15

Answer:

for the first picture, she cleans 30 windows

the second picture is 52/100 :)

Answer:

It's B for the first one.

For the second one, it is C

Step-by-step explanation:

30 * 0.3 = 9

So 30% of 30 is 9. She did 9 windows.

0.52 = 52/100

It's 52/100 because 0.52 = 52%. 52% then equals 52/100.

52/100 = 13/25

So the answer is 13/25

Answer:

the large box weight is 6.50 kg and the small box weight is 13.75 kg

Step-by-step explanation:

The computation of each type of box weight is as follows:

Let us assume the large box be x

And, the small box be y

So,

2x + 3y = 47.......(i)

6x + 5y = 115........(ii)

Multiply by 3 in equation 1

6x + 9y = 141

6x + 5y = 115

Now subtract the last equation from the above one

4y = 26

y = 6.50

For x, it would be

2x+ 3(6.50) = 47

2x + 19.5 = 47

2x = 47 - 19.50

2x = 27.50

x = 13.75

Hence, the large box weight is 6.50 kg and the small box weight is 13.75 kg

Answer:

26.2

Step-by-step explanation:

Pythagoras theorem

Answer:

x ≈ 10,54 units

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 17² = 20²

x² + 289 = 400 ( subtract 289 from both sides )

x² = 111 ( take the square root of both sides )

x = [tex]\sqrt{111}[/tex] ≈ 10.54 ( to 2 dec. places )

Answer:

m2−20m+72=−3

Step 1: Subtract -3 from both sides.

m2−20m+72−(−3)=−3−(−3)

m2−20m+75=0

Step 2: Factor left side of equation.

(m−5)(m−15)=0

Step 3: Set factors equal to 0.

m−5=0 or m−15=0

m=5 or m=15

Answer:

m=5 or m=15

Answer:

The answer is below

Step-by-step explanation:

The line segment addition postulate states that for a line segment AC, another point B lies on AC if the below equation is satisfied:

AB + BC = BC

a) From the question, since point B and C lies on AD, then:

AD= AB + BC + CD

Substituting:

28 = (x) + (x + 5) + (2x - 1)

collecting like terms:

x + x + 2x + 5 - 1 = 28

Simplifying:

4x + 4 = 28

b) Simplifying the equation:

4x + 4 = 28

subtract 4 from both sides:

4x + 4 - 4 = 28 - 4

4x = 24

Divide through by 4:

4x / 4 = 24 / 4

x = 6

c) Also, BD = BC + CD

Hence:

BD = (x  + 5) + (2x - 1)

x + 2x + 5 - 1 = BD

3x + 4 = BD

substitute value of x:

3(6) + 4 = BD

18 + 4 = BD

BD = 22

Answer:

a = 1, b = - 3, c = 0

Step-by-step explanation:

The standard form of a quadratic equation is

ax² + bx + c = 0 ( a ≠ 0 )

compare x² - 3x = 0

with a = 1, b = - 3, c = 0

There are two possible answers:

t = 2/3   or   t = -1/3

========================================================

Explanation:

The expression x+3 is the same as x-(-3). It is of the form x-k

Recall that by the remainder theorem, we know that p(x) is divisible by (x-k) if and only if p(k) = 0.

In this case, k = -3. Plug this into the p(x) function and we get

p(x) = t^2*x^3 - 3t*x + 6

p(-3) = t^2*(-3)^3 - 3t*(-3) + 6

p(-3) = -27t^2 + 9t + 6

Set that equal to 0

p(-3) = 0

-27t^2 + 9t + 6 = 0

-3(9t^2 - 3t - 2) = 0

9t^2 - 3t - 2 = 0

Now apply the quadratic formula to solve for t

[tex]t = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\t = \frac{-(-3)\pm\sqrt{(-3)^2-4(9)(-2)}}{2(9)}\\\\t = \frac{3\pm\sqrt{81}}{18}\\\\t = \frac{3\pm9}{18}\\\\t = \frac{3+9}{18}\ \text{ or } \ t = \frac{3-9}{18}\\\\t = \frac{12}{18}\ \text{ or } \ t = \frac{-6}{18}\\\\t = \frac{2}{3}\ \text{ or } \ t = -\frac{1}{3}\\\\[/tex]

We get two possible solutions for t.

Answer:

1/6

Step-by-step explanation: in a rate you need to make it a one so you double the 1/2 gallon to make it one gallon then since you doubled that you have to double the days to 6. So they drink 1 gallon per 6 days.

Answer:

im learning the same thing

Answer:

The values of [tex]x[/tex] so that [tex]y = \csc x[/tex] have vertical asymptotes are [tex]-2\pi[/tex], [tex]-\pi[/tex], [tex]0[/tex], [tex]\pi[/tex], [tex]2\pi[/tex].

Step-by-step explanation:

The function cosecant is the reciprocal of the function sine and vertical asymptotes are located at values of [tex]x[/tex] so that function cosecant becomes undefined, that is, when function sine is zero, whose periodicity is [tex]\pi[/tex]. Then, the  vertical asymptotes associated with function cosecant are located in the values of [tex]x[/tex] of the form:

[tex]x = 0\pm \pi\cdot i[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]

In other words, the values of [tex]x[/tex] so that [tex]y = \csc x[/tex] have vertical asymptotes are [tex]-2\pi[/tex], [tex]-\pi[/tex], [tex]0[/tex], [tex]\pi[/tex], [tex]2\pi[/tex].

Answer:

it's c

Step-by-step explanation:

just keep adding 5

Answer:

21/2 = 10.5

y = 10.5*hours