factorise 2x^2 +3x -20=0. 25 points!! plsss could someone help :)

Answer:

The velocity is 8.93 meters/second.

Step-by-step explanation:

It is given that  Elena runs for 28 seconds and finishes at 250 meters.

Here the displacement is 250 meters and the time is 28 seconds.

We know that  [tex]V=\dfrac{\text{Displacement}}{\text{Time}}[/tex]

Substitute displacement = 250 and time = 28 in above formula.

[tex]V=\dfrac{250}{28}[/tex]

[tex]V\approx 8.93[/tex] meters/second

Hence, the velocity is 8.93 meters/second.

Answer:

6x+10

Step-by-step explanation:

6 left and go up 10 and thats the point

Answer:

Option (3)

Step-by-step explanation:

If the sides of a triangle are unequal then the measure of sides opposite to these angle will be in the order from least to greatest.

In ΔABC,

m∠CAB = 180°- (m∠B + m∠C)

        = 180° - (25° + 27°)

        = 180° - 52°

        = 128°

Since, ∠CAB > ∠ABC  ∠ACB

Therefore, a > b > c ---------(1)

Now from ΔADB,

m∠BAD + m∠ADB + m∠DBA = 180°

32° + m∠ADB + m∠35° = 180°

m∠ADB = 180° - 67°

             = 113°

Since, m∠ADB > m∠DBA > m∠BAD

Therefore, c > d > e -------(2)

Combining both the inequalities,

a > b > c > d > e  

Option (3) will be the answer.

Answer:

1/3, 33.33%

Step-by-step explanation:

The full square is 6x6 which means there are 36 tiles in total. The shaded area is 3x4 which is 12. 12/36 is 1/3 simplified or 33.33%.

Answer:

1/3 and 33.33℅

Step-by-step explanation:

total number of rectangles is 36 and the shaded are 12

so 12/36 =1/3

1/3= 0.3333

to change to percent we multiply by 100

0.3333×100℅ = 33.33℅

Answer:

y=2x-16

Step-by-step explanation:

so gradient is 8-(-8)/ 12-4

so 16/8 which is 2

equation of line is: y= 2x+c

substitute the values into x,y

8=2(12)+c

8=24+c

8-24=c

-16= C

this is because when it goes over the equal sign it becomes negative so now the equation is y=2x-16

Answer:

Y=2x+16

Step-by-step explanation:

Answer:

[tex]-\frac{x-4}{9}[/tex]

Step-by-step explanation:

Replace x with f(x)

solve for f(x)

Answer:

60°

Step-by-step explanation:

Since, all sides of the given triangle are marked with identical signs.

So, measures of all sides are equal.

Therefore, it is an equilateral triangle.

Measure of each angle of an equilateral triangle is 60°.

So, x = 60° ( Alternate angles)

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x  =  − 9 /25

Decimal Form:

x  =  − 0.36

I hope this helps! Have a great day!

Given:

The expression is

[tex]10+(2\times 3)^2:4\times \dfrac{1}{2}[/tex]

To find:

The value of the expression.

Solution:

We have,

[tex]10+(2\times 3)^2:4\times \dfrac{1}{2}[/tex]

It can be written as

[tex]=\dfrac{10+(2\times 3)^2}{4\times \dfrac{1}{2}}[/tex]

[tex]=\dfrac{10+(6)^2}{2}[/tex]

[tex]=\dfrac{10+36}{2}[/tex]

[tex]=\dfrac{46}{2}[/tex]

[tex]=23[/tex]

Therefore, the value of the given expression is 23.

Answer:

The dog will run the 21-mile race in 4.04 hours

Step-by-step explanation:

The first thing we need to do is find out how far he ran the race at the local fair in 1 hour.

To do this, we can set up a simple relationship:

If he ran 10.5 miles in 2 hours,

He will run x miles in 1 hour

Cross multiplying, we have

x = (10.5 X 1)/2 = 5.25 miles in 1 hour.

We can now comfortably say that he runs at the rate of 5.2miles/hr

He now goes to the state fair race, which is 21 miles long.

if he runs at the rate of 5.2 miles in 1 hour,

He will run 21 miles in y hours

y = 21 / 5.2 = 4.04 hours

The dog will run the 21-mile race in 4.04 hours

Answer:

340

Step-by-step explanation:

Multiply both sides by 20.

Answer:

f=340

Step-by-step explanation:

17 times 20 equals 340

Hope I helped!! :)

Sorry if it's wrong! :(

Pls mark brainlist!!

Answer:

Proportion:  1/3=3/x

Step-by-step explanation:

The "1/3" proportion is telling us how the scale measurement relates to the real measurement.

The "3/x" describes the length of side B.

Now it is easy to figure out the answer! :D

Hope it helped!

Answer:

c

Step-by-step explanation:

i took the test mark brainlest if right

Answer:

10!!

Step-by-step explanation:

10 x 3 = 30

10 + 10 + 10 = 30

Answer:

The blue dot is on -3.1

Step-by-step explanation:

Answer: The blue dot is -3.21

Answer: x=-2

Step-by-step explanation:

y=x+1

y=-x-3

-x-3=x+1

-4=2x

x=-2

Answer:it is the third option

Step-by-step explanation:

I took the test (:

Least likely event means probability of its occurrence is minimum among other events. The least likely events from the given events is: Option B: A randomly selected student who is a freshmen owns a skateboard

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For two events A and B, by chain rule, we have:

[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(A|B)[/tex]

Suppose that there are two events A and B. Then suppose the conditional probability are:

We can then use the chain rule to find them, or Baye's theorem also helps in finding these probabilities.

We are given the following table of joint relative frequency:

[tex]\begin{array}{cccc}&\text{Freshmen(B)}&\text{Non-Freshmen(B')}&\text{Total}\\\text{Owns a skateboard(A)}&40&110&150\\\text{Doesn't own skateboard(A')}&210&840&1050\\\text{Total}&250&950&1200\end{array}[/tex]

We named events as A, A' and B and B' (event and their complements).

The important probabilities which are going to be used are evaluated as:
[tex]P(A) = \dfrac{n(A)}{n(S)} = \dfrac{150}{1200} = \dfrac{1}{8}[/tex]

[tex]P(B) = \dfrac{n(B)}{n(S)} = \dfrac{250}{1200} = \dfrac{5}{24}[/tex]

[tex]P(A') = 1 - P(A) = \dfrac{7}{8}\\\\P(B') = 1-P(B) = \dfrac{5}{24} = \dfrac{19}{24}[/tex]

[tex]P(A \cap B) = \dfrac{n(A \cap B)}{n(S)} = \dfrac{40}{1200} = \dfrac{1}{30}\\\\P(A' \cap B') = \dfrac{n(A' \cap B')}{n(S)} = \dfrac{840}{1200} = \dfrac{7}{10}\\P(A' \cap B) = \dfrac{n(A' \cap B)}{n(S)} = \dfrac{210}{1200} = \dfrac{7}{40}[/tex]

Evaluating probabilities of choices given, we get:

Case 1: E = A randomly selected student who owns a skateboard is a freshmen

P(E) = ?

P(E) = P(B|A) = [tex]\dfrac{P(A \cap B)}{P(A)} = \dfrac{1/30}{1/8} = \dfrac{4}{15}[/tex]

Case 2: E = A randomly selected student who is a freshmen owns a skateboard:

P(E) = P(A|B) = [tex]\dfrac{P(A \cap B)}{P(B)} = \dfrac{1/30}{5/24} = \dfrac{4}{25}[/tex]

Case 3: E = A randomly selected student who doesn't owns a skateboard is a freshmen

P(E) = P(B|A') = [tex]\dfrac{P(A' \cap B)}{P(A')} = \dfrac{7/40}{19/24} = \dfrac{21}{95}[/tex]

Case 4: E = A randomly selected student who doesn't owns a skateboard is not a freshmen

P(E) = P(B'|A') = [tex]\dfrac{P(A' \cap B')}{P(A')} = \dfrac{7/10}{19/24} = \dfrac{84}{95}[/tex]

Thus, the least probability is for the second case.

Thus, the least likely event(the event having least probability) from the given events is: Option B: A randomly selected student who is a freshmen owns a skateboard

Learn more about probability here:

brainly.com/question/1210781

Answer:

3rd

Step-by-step explanation:

Answer:

D(x) is a function. TRUE. It is a function of x.

x is the dependent variable. FALSE. x is the independent variable because the function is expressed in terms of the independent variable.

D(6) = 3. FALSE. D(6) = 2(6) = 12. D(6) should be equal to 12.

D(x) is a direct variation. TRUE. This holds true to the definition of direct variation where one variable is related to the other variable at the same constant multple. In this case, it is 2.

D(x) is a rule for the set of points (5, 10), (6, 12) and (-2, -4). TRUE. If you replace x with the first coordinate, the function would be equal to the corresponding second coordinate.

Step-by-step explanation:

Answer:

I got 4e+12 which is d

I think

Step-by-step explanation:

Answer:

[tex]4* 10^{12}[/tex] (The 2nd one)

Step-by-step explanation:

You can do 6 ÷ 1.5.

This will give you 4.

If following the exponents rule, when dividing exponents with the same base, you need to subtract the exponents.

8 - (-4) = 12

6 is your base and 12 is your exponent.

Answer:

34 degrees

Step-by-step explanation:

Answer:

Your answer is B

Oh and have a nice day and stay safe!

- all love from jen <3

Answer:

The answer should be B. [tex]\frac{2\sqrt{3ef}}{3f}[/tex]

Step-by-step explanation:

Answer:

heres some info for you!

Step-by-step explanation:

Answer:

13,000

Step-by-step explanation:

8,613 rounded is 9,000

3,885 rounded is 4,000

so 9,000 + 4,000 = 13,000

Answer:

<A = 44

Step-by-step explanation:

A triangle is 180 degrees

(x+59) + (x+51) + 84 = 180        >> add everything on the left side

2x + 194 = 180                          >> subtract both sides by 194

2x = -14                                     >> divide both sides by 2 to get x alone

x = -7

since you are finding A<, substitute

<A = x + 51

<A = (-7) + 51

<A = 44  

Given:

Equation of a line is

[tex]x-3y=-18[/tex]

To find:

The slope of the line perpendicular to the given line.

Solution:

The slope of the equation [tex]ax+by=c[/tex] is

[tex]Slope=-\dfrac{a}{b}[/tex]

We have,

[tex]x-3y=-18[/tex]

Here, a=1, b=-3. So, slope of this line is

[tex]m_1=-\dfrac{1}{-3}[/tex]

[tex]m_1=\dfrac{1}{3}[/tex]

Product of slopes of two perpendicular lines is -1.

Let slope of perpendicular line is [tex]m_2[/tex].

[tex]m_1\cdot m_2=-1[/tex]

[tex]\dfrac{1}{3}\cdot m_2=-1[/tex]

[tex]m_2=-3[/tex]

Therefore, the slope of the perpendicular line is -3.

Answer:

1.55

Step-by-step explanation:

Answer:

1 11/20

Step-by-step explanation:

Sorry I don't have time to explain! Hope this helps and have a good day ^^

Answer:

i. A = 4 + 3t .......... 1

  B = 12 + 2t .......... 2

ii. The hours required would be 8 hours.

Step-by-step explanation:

The charges at each of the garages can be expressed as;

i. For garage A,

A = 4 + 3t .......... 1

ii. For garage B,

B = 12 + 2t .......... 2

where A is the amount charged at garage A, B is the amount charged at garage B, and t is the number of hours.

To determine the number of hours  parked that would make the cost of each garage the same.

Let:

equation 1 = equation 2

4 + 3t = 12 + 2t

collect like terms

3t - 2t = 12 - 4

t = 8

The hours that would make the cost of each garage the same is 8 hours.