Solve the following system of equations graphically.
x + y - 4 = 0
x - y = 0
The solution lies in quadrant _____.

I

II

III

IV

Answer:

The Answer is 2160000000

Answer:2160000000

Step-by-step explanation:

Answer:

There are no real solutions to the quadratic equation 5a² - 6a + 10 = 0.

Step-by-step explanation:

We can determine the number of real solutions to a quadratic equation according to the value of its determinant, which is written with the capital letter D.

If pa² + qa + r = 0 and p > 1.

Thus, D = q² - 4pr.

If D > 0, then the equation has 2 real solutions.

If D = 0, then the equation has 1 real solution.

If D < 0, then the equation has 0 real solutions.

We can deduce D from the equation 5a² - 6a + 10 = 0 by writing the following:

p = 5

q = -6

r = 10

D = q² - 4pr

D = (-6)² - 4(5)(10)

D = 36 - 200

D = -164

D < 0

Since the determinant is negative, the equation 5a² - 6a + 10 = 0 has zero real solutions.

I hope this helps! Sorry if my English didn't really help with having a clearer explanation.

Answer:

The equation should be h²=P²+b²

27²=15²+18²

729=225+324

729=549

thus, it is not right angle triangle

Answer:

$35.2

Step-by-step explanation:

% saved = 25%

Money saved = $8.80

Let x be the bill before the coupon discount.

25/100 × x = 8.80

x = $35.2

Answer: B

Step-by-step explanation:

A parabola is defined using both a directrix and a focus.

To justify this, let me take a quote from Varsity Tutors (all credit of this quote goes to them) : “A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix.”

Hope this helps! :)

Answer:

Options C and D.

Step-by-step explanation:

The given functions are

[tex]f(x)=2^{x-6}+3[/tex]

[tex]g(x)=2^{x-3}+2[/tex]

We need to find the transformation from f(x) to g(x).

Now, write the function g(x) in the form of f(x).

[tex]g(x)=2^{x+3-3-3}+2+1-1[/tex]

[tex]g(x)=[2^{(x+3)-6}+3]-1[/tex]

[tex]g(x)=f(x+3)-1[/tex]     ...(1)

The translation is defined as

[tex]g(x)=f(x+a)+b[/tex]                .... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From (1) and (2), we get

[tex]a=3>0[/tex], so graph shifts 3 units left.

[tex]b=-1<0[/tex], so graph shifts 1 unit down.

Therefore, the correct options are C and D.

Answer:

none is equivalent. all are wrong

The sum of two rational numbers will always be rational

[tex]\frac{a}{b} +\frac{c}{d} =\frac{ad+bc}{bd}[/tex], therefore it will always be rational

Answer:

Question 3. Option B,

Question 4. Option D,

Question 5. Option B

Step-by-step explanation:

Question 3.

If we have a table, we can note that each juice has a proportionality among one another - comparative to the number of servings. If we can figure out this proportionality, we can apply it to the servings of grapefruit juice;

[tex]8 / 16 = 1 / 2,\\4 c / 8c = 1 / 2,\\1 c / 2 c = 1 / 2[/tex]

As we can tell, this " proportion " is 1 to 2. Thus, the amount of grapefruit for 16 servings is 2 * 3 = 6c - Option B

Question 4.

The distance Carlos biked is 24 miles, the total distance he covered is 30 miles;

[tex]24 : 30 = 4 : 5,\\4 to 5,\\4 : 5,\\4 / 5\\\\Conclusion - Option D[/tex]

Question 5.

If 1 / 6 of the fruits are oranges, there must be 6 times of the other fruit. Thus, the solution is Option B

Answer:

Question 3: 6c

Question 4:  4 to 5, 4:5, 4/5

Carlos biked 24 miles and ran 6 miles. The total distance is equal to 30 miles.

The question is: How much of the total distance he biked?

[tex]$\frac{24}{30}=\frac{4}{5} $[/tex]

Question 5: 3 oranges and 15 apples

[tex]$\frac{1}{6} $[/tex]  of the fruits are oranges.

It means that approximately [tex]16.6\%[/tex] of the fruits are oranges. If there were 6 fruits, 1 is orange and 5 are apples, therefore B is wrong.

If you take the options, only the first one is correct.

Answer:

you go to the teacher and ask for help

Step-by-step explanation:

get up take paper toteacher and ask

Answer:

coin: ball:

1

head -- 6

7

1

tail -- 6

7

The required Sample space = {(h, 1), ( h, 6) (h ,7 ), ( t, 1 ), ( t, 6 ), ( t, 7 )}.

Given that,
There are 3 balls in a hat; one with the number 1 on it, one with the number 6 on it, and one with the number 7 on it. You pick a ball from the hat at random and then you flip a coin. Using a tree diagram, To obtain the sample space.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

a coin has 2 sample space = {H , T}
H = head and T = tail
a hat with three balls has sample space {1, 6, 7}
Now, a ball picks from the hat at random and then flips a coin
Sample spaces
              H                    T
      -----------------    ---------------
      1       6      7      1      6    7
Implies
Sample space = {(h,1), (h,6) (h,7), (t,1), (t,6) (t,7)}

Thus, the required Sample space = {(h,1), (h,6) (h,7), (t,1), (t,6) (t,7)}.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

Answer:

4

Step-by-step explanation:

2x - 1 = 7

2x = 8

x = 4

Hope this helps! : )

Answer:

x = 45°

Step-by-step explanation:

Look at the picture*

Answer:

Step-by-step explanation:

In this this construction reflections is present on the 2 line posts by the side. Why I say this is because the line post on the right reflected or translated to the right. Also the little line in the middle was a rotation and dilation, to stay between the posts. So this is why this stool took a translations, reflections, and rotations.

Hope this helps

Answer:

D

Step-by-step explanation:

Because the angle with measure 82 and angle 1 are corresponding angles, their angles measure must be equal, and therefore angle 1 has measure of 82 as well. Since angles 1 and 2 are a linear pair, they must be supplementary, and angle 2 is therefore 180-82=98 degrees. Hope this helps!

[tex]answer = 98 °\\ solution \\ < 1 = 82(being \: corresponding \: angless) \\ < 1 + < 2 = 180(sum \: of \: angle \: in \: straight \: line) \\ or \: 82 + < 2 = 180 \\ or < 2 = 180 - 82 \\ < 2 = 98° \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

Total Students = 3a - 2b

Step-by-step explanation:

Given

Students in drama club = a

There are twice as many students in cooking club as in drama club;

So, Students in cooking club = 2a

Members of both clubs = b

Required

Expression for total students in cooking or drama club but not both;

To do this, number of students in individual clubs need to be calculated;

Let Students in drama club only  be represented by D and Students in cooking club only be represented by C

So,

D = Students in drama club - Members of both clubs

D = a - b

Similarly,

C = Students in cooking club - Members of both clubs

C = 2a - b

So, total students in cooking or drama club but not both D + C

Total students = a - b + 2a - b

Collect like terms

Total Students = a + 2a - b - b

Total Students = 3a - 2b

Answer:

A = 6 units^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

A = 1/2 (6)(2)

A = 6 units^2

Answer:

6 units^2

Step-by-step explanation:

The area of a triangle can be found using the following formula.

a=(bh)/2

where b is the base and h is the height. In this triangle, we know that 6 units is the base. We also know that 2 units is the height, because the height should form a right angle(little square) with the base.

b=6

h=2

Substitute these values into the formula.

a=(6*2)/2

Multiply 6 and 2 first.

a=12/2

Divide 12 by 2

a=6

Add appropriate units. Area always has the unit squared.

a= 6 units^2

The area of the triangle is 6 square units.

Answer:

67.3%

Step-by-step explanation:

Calculate profit = selling price - cost price

cost price = 50 × $28 = $1400

38 × $49 = $1862

12 × $40 = $480

selling price = $1862 + $480 = $2342

Profit = $2342 - $1400 = $942

% profit = [tex]\frac{profit}{cost}[/tex] × 100%

             = [tex]\frac{942}{1400}[/tex] × 100% ≈ 67.3% ( to 1 dec. place )

Answer:

(–4, –1)

Step-by-step explanation:

Since, S is translated left 8 and down 4, therefore x and y coordinates would be - 4 and - 1 respectively.

Hence, the coordinate pair for the translated point S' are (–4, –1).

Since both fractions have the same denominator, divide the numerators:

15/3 = 5

There are 5 servings.

Answer:

A is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

No. of classmates who like salsa music = (56÷100)×75 = 42

No. of relatives who like salsa music = (80÷100)×60 =48

How many more relatives like salsa as compared to classmates = 48-42= 6

Answer:

0.166666667

Step-by-step explanation:

to convert a fraction to a decimal, you divide the numerator (1) by the denominator (6)

Answer:

3

Step-by-step explanation:

Plugging 14 into the given model equation, you get:

[tex]\sqrt{14+2}-1= \\\\\sqrt{16}-1=\\\\4-1=\\\\3[/tex]

Hope this helps!

Answer:

The answer is 3

Step-by-step explanation:

Answer:

117

Step-by-step explanation:

area of a triangle= 1/2 bxh

13x18=234

divide by 2=117

Answer:

117 is the Answer

Step-by-step explanation: hope this helps!

Answer:

Sigma-Summation Underscript n = 1 Overscript 3 EndScripts (… ... Underscript n = 1 Overscript 3 EndScripts (1.3) (.8) Superscript n minus 1 ... To get the sum to infinity of the geometric series, we need to get its first term

Step-by-step explanation:

Answer: 195

Step-by-step explanation: 5*13*6=390

390/2=195

Answer:

195

Step-by-step explanation:

Answer:The initial value is the beginning output value, or the y-value when x = 0. The rate of change is how fast the output changes relative to the input, or, on a graph, how fast y changes relative to x. You can use initial value and rate of change to figure out all kinds of information about functions.

Because the inputs go by 2, the rate of change is half the difference of the outputs, or 4.25.

Subtract 4.25 repeatedly 3 times to get to an output with an input of 0.

Calculate 42.25 – (3 x 4.25).

The initial value is 29.50.

Answer:

The speed of aircraft is 600 mph.

Step-by-step explanation:

Given distance = 120 miles

Time for which jet flew : from 10:20 AM to 10:32 AM

Total duration for which jet flew =  10:32 - 10:20  = 12 minutes

(from 10 hours 32 minutes and 10 hours 20 minutes

10 hours gets cancelled, 32 minutes - 20 minutes is 12 minutes)

here time is in minutes, we have to convert it in hours

we know

60 minutes = 1 hour

1 minutes = 1/60 hour

multiplying LHS and RHS by 12

1*12 minutes =  (1/60) *12hour

12 minutes =  (1/60) *12hour

12 minutes = 1/5 hours

We know

speed = distance / time

distance = 120 miles

time = 1/5 hours

speed = 120 miles/ (1/5 hours)

speed = 120 * 5 mph = 600 mph

The speed of aircraft is 600 mph.