Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?
A.
B.
C.
D.

Answer:

3/6=4/8

Step-by-step explanation:

2/6=3/8

2*4 6*4=8/24

3*3 8*3=9/24

2/6 does not equal 3/8

3/6=4/8

3*4 6*4= 12/24

4*3 8*3=12/24

3/6=4/8 is true

Answer:

a. 48

Step-by-step explanation:

first of all find the num that can divide through equally

for ex. 3 x -2 = -6

-6×-2=12

12×-2=-24

-24×-2=48

therefore the num divisible is -2

all of the above which is e

Answer:

A. 7

Step-by-step explanation:

Alternate exterior angles are formed when we have two parallel lines that are intercepted by a transversal line in such a way that the exterior angles formed is outside the two parallel lines and they alternate each other along the transversal line.

Thus,

Angle 2 is an exterior angle along the transversal line and alternates angle 7, which is another exterior angle.

Therefore, an alternate exterior angle to angle 2 is angle 7.

Answer:

1215

Step-by-step explanation:

If you have a 25% or 1/4 increase, this would mean that you divided the total number of students and add the quotient to the main thing.

So: 972 divided by 1/4 = 972/4 = 243.

972 + 243 = 1215.

Answer:

1215 Students

Step-by-step explanation:

25% is equal to 1/4 correct? (It is :D) So divide 972/4 to know what 25% of the school's population is. 972/4 = 243. So then 243 is 25% of the students. To get the 25% increase add 972 (for the students that will be back next year) and 243 (for the new students). I may have explained this in a really detailed way but it isn't that hard when you think about it!

1. 972/4 (to find 25%)

2. 25% = 243

3. 974 + 243 (old + new)

4. 1215 Students

THE CORRECT OPTION IS A where the input data is correct

Answer:

option 3

Step-by-step explanation:

[tex]AX = B\\X = A^{-1}B\\\\A = \left[\begin{array}{CC}\\2&5\\1&3\end{array}\right]\\\\\\B =\left[\begin{array}{C}\\15&18\end{array}\right]\\\\\\X =\left[\begin{array}{C}\\x&y\end{array}\right][/tex]

[tex]det A = 1\\\\adj A = \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right][/tex]

[tex]A^{-1} = \frac{1}{det A} \times Adj A[/tex]

      [tex]= 1 \times \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right]\\\\\\= \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right][/tex]

Therefore,

      [tex]X = A^{-1}B\\\\\\\left[\begin{array}{C}\\x&y\end{array}\right] = \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right]\left[\begin{array}{C}\\15&18\end{array}\right]\\\\\\[/tex]

Points J, K and M form a triangle.

In this triangle you are given the angles for JKM (50) and KJM (60)

The 3 inside angles of a triangle need to equal 180.

The third angle JMK would be 180 minus the two given angles:

JMK = 180 - 50 - 60 = 70

JMK = 70 degrees

Answer:

the answer is in the picture

Answer:

[tex]\frac{z^{2} }{25}[/tex]

Step-by-step explanation:

In order to write the expression in the form of [tex]\frac{z^{2} }{k}[/tex] we simply have to open up the brackets. We do that the following way...

[tex](\frac{z}{5} )^{2} =( \frac{z}{5} )( \frac{z}{5}) = \frac{z^{2} }{25}[/tex]

The value of x by CPCTC is 3.

A triangle is a three-sided polygon that consists of three edges and three vertices.

We need to find the value of x.

CPCT theorem states that if two or more triangles which are congruent to each other are taken then the corresponding angles and the sides of the triangles are also congruent to each other.

The side x is congruent to the quadrilateral having length 3.

the value of x is 3

Hence, the value of x by CPCTC is 3.

To learn more on Triangles click:

https://brainly.com/question/2773823

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y = -49

multiply 7 on both sides

-7*7 = y/7*7

-49 = y

Answer:

y = -49

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-7 = y/7

Step 2: Solve for y

Answer:

1:

p-r/6=-6-(-6)/6=-6+1=-5

2:

p-(m-n)= -1-(-4-4)=-1-(-8)=-1+8=7

3:

(z+y)/2)3=(-5-4)/3=-9/3=-3

4:

m/6-n=6/6-6=1-6=-5

5:

k³-h=3³-(-2)=27+2=29

6:

p-(p-(m-3))=5-(5-(4-3))=5-(5-1)=5-4=1

7:

(k)(k-j)+3=(5)(5-5)+3=5*0+3=3

8.

p²/6-q=6²/6-4=6-4=2

9;

zx+3³=6*4+3³=24+27=51.

10:

y+z-(y-x)=5+4-(5-2)=9-3=6

Some basic rules:

+. +. +=+

+. * +=+

+. ÷ +=+

+. - +=+

and

+. +. -=add and put sigh of greater one.

-. * +=-sigh

-÷-=+sigh

- - -=add and put - sigh

Answer:

Step-by-step explanation:

[tex]sin^2\theta+cos^2\theta=1~=>sin\theta=\pm\sqrt{1-cos^2\theta}\\\\cos\theta=\frac{\sqrt{2}}{2}[/tex]

we'll took the negative solucion of sin because sin is negative in IV cuadrant

[tex]sin\theta=-\sqrt{1-(\frac{\sqrt{2}}{2})^2}=-\frac{1}{\sqrt{2}}=-\frac{\sqrt{2}}{2}[/tex]

[tex]tan\theta=\frac{\sin\theta}{\cos\theta}[/tex]  => [tex]tan\theta=-1[/tex]

so, the right option is the last one

Answer:

She arrived home in December

Step-by-step explanation:

Add 14 months to October

Answer:

she returned home in December just add 14 months to October

Answer:

X>Dy+c

Step-by-step explanation:

I did this question before

Answer:

Step-by-step explanation:

Answer:

Table B

first find cost of 1 book

cost of 1 book=$90/9

=$10

now cost cost of 10 books

cost of 11 books=$10*10

=$100

cost of 11 book =$10*11

=$110

Step-by-step explanation:

since the cost of 10 and 11 books match in  table B ,it is the correct answer

Answer:

B(3/4*1/2)

Step-by-step explanation:

So lets see, we have:

3/4 divded by 2

Any whole number, such as 2, will have a denominator like this:

2/1

So we can rewrite this as:

3/4 divided by 2/1

Now, we can actually rewrite this division as multipication. To do this, you must flip the dividing fraction, which was 2/1.

So now it is 1.2:

3/4*1/2

Looking at the anwers, this should be the seocnd one down.

Hope this helps!

Answer:

Step-by-step explanation:

In this scenario, Octavia should buy at least 12 small milkshakes. At $2.50 each small milkshake, buying 12 would be a total of $30. Since she needs to buy atleast 20 total milkshakes, she would need to buy 8 large milkshakes which at $6 each would cost her a total of $48. Together this would sum up to be $78 for the 20 milkshakes which would mean that Octavia is still under her budget.

Answer:

Two angles having the same vertex and having a common side between them.

Answer: the answer should be 10%

Step-by-step explanation:

Answer:

10% is correct!

Answer:

w+76=180(being supplementary angle)

w=180-76

w=104

Given:

The expression is:

[tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex]

To find:

The integration of the given expression.

Solution:

We need to find the integration of [tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex].

Let us consider,

[tex]I=\int \dfrac{1-\cos 2x}{1+\cos 2x}dx[/tex]

[tex]I=\int \dfrac{2\sin^2x}{2\cos^2x}dx[/tex]         [tex][\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x][/tex]

[tex]I=\int \dfrac{\sin^2x}{\cos^2x}dx[/tex]

[tex]I=\int \tan^2xdx[/tex]                      [tex]\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right][/tex]

It can be written as:

[tex]I=\int (\sec^2x-1)dx[/tex]             [tex][\because 1+\tan^2 \theta =\sec^2 \theta][/tex]

[tex]I=\int \sec^2xdx-\int 1dx[/tex]

[tex]I=\tan x-x+C[/tex]

Therefore, the integration of [tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex] is [tex]I=\tan x-x+C[/tex].

Answer:

(-4, 7)

Step-by-step explanation:

It would be the exact opposite of point R because it was rotated about 180 degrees from it's original location

Answer:

f(3) = -4

Step-by-step explanation:

3 is between 2 and 5 so we use the second piece of the function

f(3) = -4

Answer: f = 0

Step-by-step explanation:

f(3) = 0

f•(3) = 0

3f = 0

f = 0

Answer:

"0.0041" is the right answer.

Step-by-step explanation:

According to the question,

The total possible number of tickets will be:

= [tex]6^5[/tex]

= [tex]7776[/tex]

here,

The total even numbers are:

= [tex]2[/tex]

i.e., (2, 4)

now,

With even numbers, the total number of tickets are:

= [tex]2^5[/tex]

= [tex]32[/tex]

hence,

The probability will be:

= [tex]\frac{32}{7776}[/tex]

= [tex]0.0041[/tex]

The probability is the ratio of the favorable event to the total number of events. Then the probability is 0.0041.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. I

At a carnival entrance, tickets are assigned seven-digit numbers using the digits 0-5.

If one ticket number is chosen randomly for a prize.

Then the probability that every number on the ticket is even will be

The total possible number of tickets will be

⇒ 6⁵ = 7776

The total even numbers will be

⇒ 2 {2, 4}

With even numbers, the total number of tickets will be

⇒ 2⁵ = 32

Then the probability will be

[tex]\rm P = \dfrac{32}{7776}\\\\P= 0.0041[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

39

Step-by-step explanation:

180-73-68

Step-by-step explanation:

profit%=

[tex] \frac{selling \: price - cost \: price}{cost \: price} \times 100\%[/tex]

[tex] \frac{4950 \: naira - 3600 \: naira + 150 \: naira}{3750 \: naira} \times 100\%[/tex]

[tex] \frac{4950 - 3750}{3750} \times 100\%[/tex]

[tex] \frac{1200}{3750} \times 100\%[/tex]

=36%

Answer:

2 / 7

Step-by-step explanation:

Coin flipped 3 times has following outcomes, of heads 'H' & Tails 'T'

HHH , TTT , HTT, THT , TTH , THH , HTH , HHT  = total outcomes

P (A) = 2 consecutive heads , P (B) = atleast one tail

P (A) = 2 outcomes ( HHH , HHT , THH ) / total 8 outcomes = 3 / 8

P (B) = 7 outcomes (all except HHH) / total 8 outcomes = 7 / 8

P (A | B) = P ( A ∩ B ) / P (B)

P ( A ∩ B ) = P ( 2 consecutive heads & atleast one tail) / Total outcomes =   2 outcomes ( HHT , THH ) / total 8 outcomes = 2 / 8

So, P (A | B) = ( 2 / 8 ) /  ( 7 / 8 ) = 2 / 7