Solve the system of linear equations by graphing. x+y=27
y=x+3

Answer:

DCE is 54°

Step-by-step explanation:

To solve this, we must come up with an equation. Since D, C, and E are each straight lines, they are each 180°. then, each line is separating the other which splits the 180 degree line into two parts. For example, E separates D, C separates E, and so on. The exterior angles are given, but the interior aren't. So:

for angle EDC: 180 - (9x - 31)

for angle CED: 180 - (4x + 33)

for angle DCE: 180 - (7x - 2)

we know that all angles in a triangle add up to 180°. So, our equation is:

180 - (9x - 31) + 180 - (4x + 33) + 180 - (7x - 2)=180.

simplify:

180 - 9x + 31 + 180 - 4x - 33 + 180 - 7x + 2=180

540 - 20x = 180

540 - 180 = 20x

360=20x

x= 18

for angle EDC: 180 - (9•18 - 31)=49°

for angle CED: 180 - (4•18 + 33)=75°

for angle DCE: 180 - (7•18 - 2)=54°

Answer:

-2

Step-by-step explanation:

10-8=2

8-6=2

6-4=2

4-2=2

The common difference of the given A.P. is -2.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The nth term of an A.P. is given by -

a[n] = a + (n - 1)d

We have the following sequence 10, 8, 6, 4, ... .

We have -

10, 8, 6, 4, ...

The common difference of the given A.P. is -

d = 8 - 10 = 6 - 8 = 4 - 6

d = - 2

Therefore, the common difference of the given A.P. is -2.

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Answer:

288 (DIVIDED) by 23=

12.5217391304 ROUNDED UP=

About 13 students per bus.

Answer:

Step-by-step explanation:

5

For there to be 1 car, we consider two possible outcomes:

The first door opened has a car or the second door opened has a car.

P(1 car) = 2/6 x 4/5 + 4/6 x 2/5

P(1 car) = 8/15

For there to be no car in either door

P(no car) = 4/6 x 3/5

P(no car) = 2/5

Probability of at least one car is the sum of the probability of one car and probability of two cars:

P(2 cars) = 2/6 x 1/5

= 1/15

P(1 car) + P(2 cars) = 8/15 + 1/15

= 3/5

Sorry this isnt an answer, but i need more information to be able to answer this question! there isnt a photo or any more text attached

Answer

the answer is 91 miles per hour

Step-by-step explanation:

divide 728 by 8

Answer:

11 1/4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

x=4 and y=2

Step-by-step explanation:

The correct equation is,

⇒ y = - x + 3

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 4 (x - 2 + y) = 4

Now, Simplify the expression as;

⇒ 4 (x - 2 + y) = 4

⇒ x - 2 + y = 4/4

⇒ x - 2 + y = 1

⇒ x + y = 1 + 2

⇒ x + y = 3

⇒ y = - x + 3

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Answer:

the graph opens upward

the graph is steeper then the graph of f(x) = x2

and the graph is the same as the graph of f(x)=6x2 + 12x -3

Step-by-step explanation:

The statements graph opens upwards, graph is steeper than the graph of f(x) = x² and  graph is the same as the graph of f(x) = 6x² + 12x - 3 are true about the graph  f(x) = 6(x + 1)2 -9.

A function can be thought of as an output for the given set of inputs.

Given f(x) = 6(x + 1)² - 9.

f(x) = 6( x² + 2x + 1) - 9.

f(x) = 6x² + 12x + 6 - 9.

f(x) = 6x² + 12x - 3.

The graph opens upward as the coefficient of x² is positive.

The graph is steeper than x² as it has a multiplication factor of 6.

The graph is the same like f(x) =  6x² + 12x - 3 as we have already found out by simplifying.

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Answer:

A. There are two complex roots

Step-by-step explanation:

Just took the test

If the discriminant of a quadratic equation is equal to Negative 8, there are two complex roots.

The discriminant of a quadratic equation is given as;

[tex]b^2 - 4ac>0 \ \ ( 2 \ solutions; 1 \ positive \ and \ 1 \ negative\ solution)\\\\b^2 -4ac = 0 \ \ (1 \ real \ solution)\\\\b^2 - 4ac \ < 0 \ \ (complex \ root, \ no \ solution)[/tex]

A discriminant of negative 8 falls with last category in the solution above.

[tex]b^2 - 4ac <0 \ \ (eg \ -8),[/tex]

[tex]x = +/-\sqrt{-8} \\\\x = \sqrt{-8 } \ \ or \ \ -\sqrt{-8} \ \ \ \ \ (2 \ complex \ roots)[/tex]

Thus, if the discriminant of a quadratic equation is equal to Negative 8, there are two complex roots.

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Answer:

Step-by-step explanation:

using the value of x = 20 from number 11

solve the angle H

∠H = 3x - 2

plugin the value of x=20 into the equation

∠H = 3(20) - 2

∠H = 58

Answer:

5  

+   0.6

+   0.02

+   0.009

Step-by-step explanation:

5 × 1  

+ 6 ×   0.1

+ 2 ×   0.01

+ 9 ×   0.001

5 × 100

+ 6 × 10-1

+ 2 × 10-2

+ 9 × 10-3

all of them are correct

Answer:

positive 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation: The opposite of -3 is positive 3

Answer:

[tex]-10x^3y^2+5x^2y^3-2x^3+7y^2[/tex]

Answer: tex.z-dn.net/?f=-10x%5E3y%5E2%2B5x%5E2y%5E3-2x%5E3%2B7y%5E2

Step-by-step explanation: Hope this helps. Have a good night ma´ám/sir. Be safe!

Answer:

arithmetic

Step-by-step explanation: Hope this helps :)

i think 1st one is the answer

Answer:

c. Both Tami and Vu performed equally well.

Step-by-step explanation:

To solve this question, we use z score

The formula for calculating a z-score is is z = (x-μ)/σ

where x is the raw score

μ is the population mean

σ is the population standard deviation.

a) For Tami , who took MCAT

We are told:

Scores on the MCAT follow a Normal distribution with a mean of 505.6 points and a standard deviation of 9.3 points.. If Tami earns 524.2 points on the MCAT.

x = 524.2 points

μ = 505.6 points

σ = 9.3 points

z = 524.2 - 505.6/9.3

= 2

The z score for Tami is 2

For Vu, who took LSAT

We were told:

Scores on the LSAT follow a Normal distribution with a mean of 150.7 points and a standard deviation of 10.2 points. Vu earns 171.1 points on the LSAT.

x = 171.1 points

μ = 150.7 points

σ = 10.2 points

z = 171.1 - 150.7/10.2

z = 2

The z score for Vu is also equal to 2

Therefore, we can say the bout Tami and Vu performed equally well.

Option c is the correct answer.

Answer:

28.27

Step-by-step explanation:

Area = 1/4(3.14)(d^2)

Area = 28.27

Answer:

the answer is x^12-1

steps are in pdf

Answer:

Step-by-step explanation:

k=2

t=5

2+6=4   6=2  1=3

2=6

5=15

Now their ages are 6:15

Answer:

2 2/5

Step-by-step explanation:

i just googled this srry

Answer:

2 2/5

Step-by-step explanation:

Answer:

I think its 4 but not 100% sure.

264-10=16+52

Add 10 to both sides

264=16+62

subtract 16 from both sides

248=62

Divide and i got 4.

ayooooo the functions: a and d.

By the remainder theorem, the remainder upon dividing p(x) = 2x³ - 7x² + 5x - 1 by x - 3 is p(3),

p(3) = 2(3)³ - 7(3)² + 5(3) - 1 = 5

Answer:

0.85 kilograms

Step-by-step explanation:

The nearest hundredth can be defined as a place value used when rounding up numbers after the decimal.

The nearest hundredth can also mean rounding up to 2 decimal places.

We are asked to round up 0.845 to the nearest hundredth

The nearest hundredth is the second number after the decimal = 4

The third number after the decimal = 5, hence we add 1 to 4 , making it 5.

Hence:

0.845 kilograms to the nearest hundredth = 0.85 kilograms