........................................................

Answer:   (-4, -1)

This means x = -4 and y = -1 pair up together.

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

You're on the right track. You'll replace the 'x' with 3y-1, but you made a typo. I think you meant to write the subtraction symbol instead of the equal sign.

Here's what your steps could look like

-2x + 5y = 3

-2(3y-1) + 5y = 3

-6y + 2 + 5y = 3

-y + 2 = 3

-y = 3-2

-y = 1

y = -1

x = 3y-1

x = 3(-1) - 1

x = -3-1

x = -4

Therefore, (x, y) = (-4, -1) is the solution

-------------------

As the steps above show, I replaced each copy of x in the second equation with (3y-1). This is due to x = 3y-1. From there, we isolate y. Once you determine that y = -1, it's plugged into the first equation to find x.

If you were to graph x = 3y-1 and -2x+5y = 3 on the same xy coordinate grid, then the two lines would intersect at (-4, -1)

Also, note how plugging x = -4 and y = -1 into the second equation leads to...

-2x+5y = 3

-2(-4)+5(-1) = 3

8 - 5 = 3

3 = 3

We get the same value on both sides, so that verifies the second equation. I'll let you verify the first equation.

Answer:

Alright so youd havee to right the terms in order which should be easy then your done! Hope this helped!

Step-by-step explanation:

Answer:

52. (0,-3)

53. Slope= 4

54. Y=4x-3

9.5 for the brother 19/4 for the son and 19/5 for the daughter I think

Step-by-step explanation:

So 9.5 would be 10. 19/4 would be 5 and 19/5 would be 4

SO the brother would get 10 the son would get 5 and the daughter would get 4

Answer:

Brother-9.5

Son-19/4  

Daughter-19/5

Step-by-step explanation:

Also, pls help me on my phsyics Q3 work on graduation alliance. PLEASE PLEASE.

Answer:

45 degrees

Step-by-step explanation:

360/2=180

180/2=90

90/2=45

Answer:

Step-by-step explanation:

A i think

Answer:

$6.75

Step-by-step explanation:

1/5 of £5.60 is $1.15

5.60 +1.15 = 6.75

(I think this is the answer but it most likely is correct)

Answer:

A= 15(H)

Step-by-step explanation:

A is the total amount he is going to get, And H is the hours. If he gets 15 an hour. it means however many hours he works multiplied by 15 is the total amount he gets.

Answer:

$14.43¢

Step-by-step explanation:

We are given; [tex]1\frac{2}{5}[/tex] pounds, 1 pound = $4.20 and [tex]2\frac{1}{4}[/tex] pounds,1 pound = $3.80 that Andrea bought.

Now we need to find her total cost. To do that, we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert [tex]1\frac{2}{5}[/tex] to a decimal. It is 1.4. Now we can set up a graph.

Avocados

[tex]\frac{4.2}{1}=\frac{x}{1.4}[/tex]

Switch sides

[tex]\frac{x}{1.4}=\frac{4.2}{1}[/tex]

Apply rule: [tex]\frac{a}{1}=a[/tex]

[tex]\frac{x}{1.4}=4.2[/tex]

Multiply both sides by 1.4

[tex]\frac{1.4x}{1.4}=4.2\cdot \:1.4[/tex]

Simplify

[tex]x=5.88[/tex]

So, her cost for avocados is $5.88¢

Now we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert [tex]2\frac{1}{4}[/tex] to a decimal. It is 2.25. Now we can set up a graph.

Asparagus

[tex]\frac{3.8}{1}=\frac{x}{2.25}[/tex]

Switch sides

[tex]\frac{x}{2.25}=\frac{3.8}{1}[/tex]

Apply rule : [tex]\frac{a}{1}=a[/tex]

[tex]\frac{x}{2.25}=3.8[/tex]

Multiply both sides by 2.25

[tex]\frac{2.25x}{2.25}=3.8\cdot \:2.25[/tex]

Simplify

[tex]x=8.55[/tex]

So, her cost for asparagus is $8.55¢

Total cost

Now that we have found out how much both of the fruits Andrea bought costs, we need to sum it up (meaning add it) to find the total cost:

$5.88¢ + 8.55¢ =

5.88 + 8.55 = 14.43

Therefore, Andrea's total cost of the fruits is $14.43¢

Answer:

The answer is "[tex]9a^4b^{10}(2+6a^6b^5)(2-6a^6b^5)[/tex]"

Step-by-step explanation:

For point a:

[tex]36a^4b^{10} - 81a^{16}b^{20}[/tex] by GCF

Calculating the const terms:[tex]36 \ n \ 81, \ GCF \ is\ 9\times 4 \ n \ 9\times 9[/tex]

Calculating the terms  [tex]w\ a: a^4 \ n \ a^{16},\ GCF \ is\ a^4 \ n \ a^4 \times \ a^{12}[/tex]

Calculating the terms [tex]w \ b: b^{10}\ n\ b^{20}, \ GCF \ is\ b^{10}\ n \ b^{10} \times b^{10}[/tex]

Including the GCFs, [tex]36a^4 b^{10} - 81a^{16}b^{20}[/tex]

[tex]=9a^4b^{10}(4 - 9a^{12}b^{10})\\\\4=2^2 n 9a^{12}b^{10}\\\\=(3a^6b^5)^2[/tex]

Calculating the difference of squares

[tex]\to A^2 - B^2 = (A+B)(A-B)\\\\\to 4 - 9a^{12}b^{10} \\\\\to (2+3a^6b^5)(2-3a^6b^5)\\\\[/tex]

substituting

[tex]\to 36a^4b^{10} - 81a^{16}b^{20}\\\\\to 9a^4b^{10}(2+3a^6b^5)(2-3a^6b^5)[/tex]

For point b:

Calculating the difference of squares:

[tex]A^2 - B^2 = (A+B)(A-B)\\\\36a^4b^{10}=(6a^2b^5)^2\\\\81a^{16}b^{20}=(9a^8b^{10})^2\\\\36a^4b^{10} - 81a^{16}b^{20}\\\\=(6a^2b^5+9a^8b^{10})(6a^2b^5-9a^8b^{10})\\\\=3a^2b^5(2+6a^6b^5)3a^2b^5(2-6a^6b^5)\\\\=9a^4b^{10}(2+6a^6b^5)(2-6a^6b^5)[/tex]

Answer:

The answer would be exactly 250 messages.

0.50 × x = $125

125÷ 0.50=250

Hope this helps!

I am not pretty sure of the answer but maybe it's 5/10

Answer:

the number half way between 1-5 is 3. and the number half way between 9/10 is 9.5

Step-by-step explanation:

to find the number half way between 1/5 just write out all the numbers (1 2 3 4 5) and 3 is the halfway point because there are two numbers on the right and to numbers on the left

the number halfway between 9 and 10 is 9.5. all you do is add 9 +10 then divide by 2

9+10=19

19÷2= 9.5

Answer:

See Below.

Step-by-step explanation:

Problem 1)

We want to verify that:

[tex]\displaystyle \left(\cos(x)\right)\left(\cot(x)\right)=\csc(x)-\sin(x)[/tex]

Note that cot(x) = cos(x) / sin(x). Hence:

[tex]\displaystyle \left(\cos(x)\right)\left(\frac{\cos(x)}{\sin(x)}\right)=\csc(x)-\sin(x)[/tex]

Multiply:

[tex]\displaystyle \frac{\cos^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Recall that Pythagorean Identity: sin²(x) + cos²(x) = 1 or cos²(x) = 1 - sin²(x). Substitute:

[tex]\displaystyle \frac{1-\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Split:

[tex]\displaystyle \frac{1}{\sin(x)}-\frac{\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Simplify:

[tex]\csc(x)-\sin(x)=\csc(x)-\sin(x)[/tex]

Problem 2)

We want to verify that:

[tex]\displaystyle (\csc(x)-\cot(x))^2=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Square:

[tex]\displaystyle \csc^2(x)-2\csc(x)\cot(x)+\cot^2(x)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Convert csc(x) to 1 / sin(x) and cot(x) to cos(x) / sin(x). Thus:

[tex]\displaystyle \frac{1}{\sin^2(x)}-\frac{2\cos(x)}{\sin^2(x)}+\frac{\cos^2(x)}{\sin^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor out the sin²(x) from the denominator:

[tex]\displaystyle \frac{1}{\sin^2(x)}\left(1-2\cos(x)+\cos^2(x)\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor (perfect square trinomial):

[tex]\displaystyle \frac{1}{\sin^2(x)}\left((\cos(x)-1)^2\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Using the Pythagorean Identity, we know that sin²(x) = 1 - cos²(x). Hence:

[tex]\displaystyle \frac{(\cos(x)-1)^2}{1-\cos^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor (difference of two squares):

[tex]\displaystyle \frac{(\cos(x)-1)^2}{(1-\cos(x))(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor out a negative from the first factor in the denominator:

[tex]\displaystyle \frac{(\cos(x)-1)^2}{-(\cos(x)-1)(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Cancel:

[tex]\displaystyle \frac{\cos(x)-1}{-(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Distribute the negative into the numerator. Therefore:

[tex]\displaystyle \frac{1-\cos(x)}{1+\cos(x)}=\displaystyle \frac{1-\cos(x)}{1+\cos(x)}[/tex]

Answer:

true

Step-by-step explanation:

Answer:

false because 140.23 is not less then 140.203

Answer:

D c=0

Step-by-step explanation

Answer:

42y-30

Step-by-step explanation:

here you go

Answer:

This is not a statistical question

Step-by-step explanation:

A statistical question is a question the gathers varying data

Answer:5.7

Step-by-step explanation:

Answer:

The answer is 30.

Step-by-step explanation:

The given expression is :

3a+3b

Put a = 6 and b = 4 in the above expression.

3a+3b = 3(6) + 3(4)

= 18+12

= 30

Now put a = 4 and b = 6 in the above expression.

3a+3b = 3(4) + 3(6)

= 12+18

= 30

Hence, the answer in both case is same i.e. 30.

x = 15 ft

Step-by-step explanation:

x/20 = 6/8

or

x = (3/4)(20 ft)

= 15 ft

Answer:8 mph

Step-by-step explanation:

9x + 18 = 6(x + 3) + 3x = 3(3x + 6)

3x + 15 = 3(2x + 5) - 3x = x + 2x + 15

Answer:

[tex](a)\ y = 0.25n +1[/tex]

[tex](b)\ \$16[/tex]

Step-by-step explanation:

Given

[tex]n \to days[/tex]

[tex]y \to amount[/tex]

[tex](n_1,y_1) = (5,2.25)[/tex]

[tex](n_2,y_2) = (21,6.25)[/tex]

Solving (a): Formula that represents the scenario.

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{n_2 -n_1}[/tex]

[tex]m = \frac{6.25-2.25}{21-5}[/tex]

[tex]m = \frac{4}{16}[/tex]

[tex]m = 0.25[/tex]

The equation is calculated using:

[tex]y = m(n - n_1) + y_1[/tex]

This gives:

[tex]y = 0.25(n - 5) + 2.25[/tex]

[tex]y = 0.25n - 1.25 + 2.25[/tex]

[tex]y = 0.25n +1[/tex]

Solving (b): Amount after 60 days late.

This means that:

[tex]n = 60[/tex]

So:

[tex]y = 0.25 * 60 + 1[/tex]

[tex]y = 15 + 1[/tex]

[tex]y = 16[/tex]

Answer:

12

Step-by-step explanation: