Solve each system by substitution. Show all work.
4x + y = 0
-x - 2y =7

They sent 36 coupons to the existing members

y = 1

Step-by-step explanation:

X = 2y + 6

X³ - 8y³ - 36xy - 216 = 0

(subsitute)

(2y + 6)³ - 8y³ - 36(2y + 6)y -216 = 0

(concentrate on first part)

(2y + 6)(2y + 6)(2y + 6)

(4y² + 12y + 12y + 36)(2y + 6)

(4y² + 24y + 36)(2y + 6)

8y³ + 24y² + 48y² + 144y + 72y + 216

(back to full equation)

8y³ + 72y² + 216y + 216 - 8y³ - 36(2y + 6)y - 216 = 0

(factor the last part)

-36(2y + 6)y

y(-72y - 216)

-72y² - 216y

(back to main equation)

8y³ + 72y² + 216y + 216 - 8y³ - 72y² - 216y - 216 = 0

(start to cancel out)

8y³ and -8y³ cancel

72y² + 216y + 216 - 72y² - 216y - 216 = 0

72y² and -72y² cancel

216y + 216 - 216y - 216 = 0

216y and -216y cancel

216 - 216 = 0

those cancel

0y = 0

add 1 to both sides

y = 1.

(I hope this helped)

Step-by-step explanation:

For this problem, we need to use the fact that the circle with center (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2.

This gives us that the equation of the circle is (x-1)^2 + (y-1)^2 = 25.

Answer:

30% for chocolate

Step-by-step explanation:

9÷30= 30% 0.3 vanilla

9÷30=30% 0.3 chocolate

12÷30=40% 0.4 oatmeal

The probability of choosing chocolate is 0.30.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Number of total cookies = 30

Number of vanilla = 9

Number of chocolate = 9

Number of oatmeal = 12

The probability that chocolate is randomly selected is;

Probability of choosing a chocolate = Number of chocolate / Number of total cookies

Probability of chosen a chocolate = 9 / 30

Probability of chosen a chocolate = 3 / 10

Probability of chosen a chocolate = 0.30

Hence, the probability of choosing chocolate is 0.30.

To know more about probability click the link given below.

brainly.com/question/11234923

#SPJ4

Answer:

See below ↓

Step-by-step explanation:

We need to prove :

⇒ cos⁻¹ [tex]\frac{12}{13}[/tex] + sin⁻¹ [tex]\frac{3}{5}[/tex] = tan⁻¹ [tex]\frac{56}{65}[/tex]

Let's simplify the LHS.

Convert the inverse cos and sin functions into inverse tan functions

Identity

Using this identity, we can simplify our earlier equation!

⇒ tan⁻¹ [(5/12 + 3/4)/(1 - (5/12 x 3/4))]

⇒ tan⁻¹ [(20 + 36) / (48 - 15)

⇒ tan⁻¹ (56/65)

⇒ RHS

⇒ Proved ∴√

[tex]\text{L.H.S}\\\\=\cos^{-1} \dfrac{12}{13} + \sin^{-1} \dfrac 35\\\\=\sin^{-1} \dfrac 5{13} + \sin^{-1} \dfrac 35\\\\[/tex]

[tex]=\sin^{-1}\left[\dfrac 5{13}\sqrt{1- \left(\dfrac 35 \right)^2} + \dfrac 35\sqrt{1-\left(\dfrac 5{13} \right)^2} \right]\\\\=\sin^{-1} \left(\dfrac 5{13} \sqrt{1-\dfrac 9{25} }+\dfrac 35 \sqrt{1-\dfrac{25}{169}} \right)\\\\=\sin^{-1} \left(\dfrac 5{13} \sqrt{\dfrac{16}{25}}+\dfrac 35 \sqrt{\dfrac{144}{169}} \right)\\\\=\sin^{-1} \left(\dfrac{5}{13} \cdot \dfrac 45 + \dfrac 35 \cdot \dfrac{12}{13} \right)\\[/tex]

[tex]=\sin^{-1} \left(\dfrac 4{13} +\dfrac{36}{65}\right)\\\\=\sin^{-1} \left(\dfrac{20}{65} + \dfrac{36}{65} \right)\\\\=\sin^{-1} \left(\dfrac{20+36}{65} \right)\\\\=\sin^{-1} \left(\dfrac{56}{65} \right)\\\\=\text{R.H.S}[/tex]

Answer:

nasa pic yung answer

Step-by-step explanation:

hope its help

correct me if im wrong

Answer:

x=-3 x=-3

Step-by-step explanation:

You have the equation x^2+6x+9=0. So we are tying to find two terms that add to 6 but multiply to 9. Those numbers are 3 and 3. So now we have x^2+3x+3x+9=0. Then factor it to get (x+3) and (x+3) then to isolate x do x+3=0, x=-3 (move 3 to the other side to get x=-3).

Jennifer’s graph is vertically shifted from Matt’s graph by 2 units. and none of the graphs has their vertex at maximum.

A function assigns the value of each element of one set to the other specific element of another set.

The function of the graph that is drawn by Jennifer is f(x)=2x²+4x, while the function that is drawn by Matt is g(x)=2(x+1)².

If we compare the function of the two graphs,

[tex]g(x)=2(x+1)^2\\g(x)=2(x^2+1+2x)\\g(x) = 2x^2+2+4x\\\\f(x)=2x^2+4\\[/tex]

As we can see that the only difference between the two of the function is +2, therefore, the only difference between Jennifer's graph and Matt's graph is that the graph of Jennifer’s graph is vertically shifted from Matt’s graph. As shown in the below image.

Thus, Jennifer’s graph is vertically shifted from Matt’s graph by 2 units.

If we draw two of the graph on the graph we will notice that the two of the functions will have their maximum at their vertex, as both graphs are opening upwards.

Hence, Jennifer’s graph is vertically shifted from Matt’s graph by 2 units. and none of the graphs has their vertex at maximum.

Learn more about Function:

https://brainly.com/question/5245372

Answer:
1. 2 units down
2. 0 units left or right
3. the same shape as
4. Neither Jennifer's nor Matt's

correct on edge 2023 have a good day :)

Answer:

20 2/5 cm

Step-by-step explanation:

4 ( 5 1/10)

4 × 51/10

2×51/5

0.4x51

=20 2/5

Answer:

[tex]\boxed{\sf{4(5x+3y-7)}}[/tex]

Step-by-step explanation:

It is necessary to find the factors and solve them using their expressions in order to solve this problem.

7*4=28

3*4=12

5*4=20

Rewrite the problem down.

5*4x+3*4y+7*4

Solve.

Common term of 4.

4(5x+3y-7)

I hope this helps you! Let me know if my answer is wrong or not.

[tex]========================================[/tex]

In order to factor this expression, we should factor out the common term (divide all terms in the polynomial by the common term)

In this case, the common term is

4

Note:- Usually, we factor out the G.C.F. (Greatest Common Factor)

So here, the G.C.F. is 4.

Why 4? Because in this trinomial (a polynomial with 3 terms) all 3 terms are divisible by 4.

So divide all the terms

5x

3y

-7

Put 4 outside the parentheses:

4(5x+3y-7)

Is the trinomial in its simplest form? Sure!

Hence, we are done! :)

[tex]================================[/tex]

Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer. :)

The 100th term of the sequence is -273

Arithmetic sequence is one derived from addition/subtraction of a constant term to find the next term. the constant term is usually called the common difference

first term a = 222

common difference, d = -5

nth term of an Arithmetic sequence. Tn = a + ( n - 1 ) d

T100 = a + ( 100 - 1 ) d

T100 = 222 + 99 * -5

T100 = -273

Read more on Arithmetic sequence here:

https://brainly.com/question/7882626

Answer:

630 inches³

Step-by-step explanation:

According to the question ,

we have to find the volume of rectangular prism

Volume of rectangular prism :- l × b × h

Putting the value ,

14 × 5 × 9 cubic inches

= 630 cubic inches

[tex]\rightarrow[/tex] Length(l) of prism = 14in.

[tex]\rightarrow[/tex] Width(w) of prism = 5in.

[tex]\rightarrow[/tex] Height(h) of prism = 9in.

[tex]\rightarrow[/tex] Volume of prism.

[tex]\rightarrow[/tex] Volume of rectangular prism = [tex]\sf{l×w×h}[/tex]

[tex]\rightarrow[/tex]Volume of prism = [tex]\sf{l×w×h}[/tex](putting the value of l, w and h from the above given)

[tex]\rightarrow[/tex] [tex]\sf{=\:14×5×9}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{= \: 630 in^3}[/tex]

Therefore, volume of the given prism [tex]\sf{= \: 630 in^3.}[/tex]

________________________________

Hope it helps you:)

Answer: AAS

Step-by-step explanation:

Answer:

hope it helps

also try to find out what 5power 10 is because I have no calculator with me

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 15000}}{\left( \cfrac{20}{100} \right)15000}\implies 30000[/tex]

Answer:

i believe the  answer to this is (C)

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

formula= P×T×R ÷ 100

550×4×5÷100

55×4×5÷10

1100÷10

$110

Answer:

The point (0.75, 0.25) is not on the unit circle.

Step-by-step explanation:

The unit circle has radius 1, so:

[tex] {.75}^{2} + {.25}^{2} = .5625 + .0625 = .625 [/tex]

Answer:

4442

Step-by-step explanation:

We Cant Read A Chair So We Exclude Chairs.

Therefore, 2345+1469+628

Which is equals to 4442

Answer:

7.744

Step-by-step explanation:

For this problem you have to work backwards

The equation for the volume is V = (area of circle) x height

So here, to solve the area of the circle, you need to divide the 235.5 by 5

So:

235.5 = (area of circle) x 5

Area of circle is 47.1

Then, you need to find the radius of the circle by using this equation for the area of a circle

[tex]A = \pi \cdot r^{2}[/tex]

So:

47.1 = π * [tex]r^{2}[/tex]

r = 3.872

This question is asking for the diameter, which is double the radius,

2 x 3.872 = 7.744

The volume of the figure is the amount of space in the figure

The volume of the figure is 10488 cubic inches

The figure is a composite figure, and it contains:

The volume (V1) of the rectangular prism is:

V1 = Length * Width * Height

V1 = 18 in * 23 in * 16 in

V1 = 6624 cubic inches

The volume (V2) of the triangular prism is:

V2 = 0.5 * Base * Width * Height

V2 = 0.5 * 23 in * 16 in * 21 in

V2 = 3864 cubic inches

Add the volumes of both figures

V =  V1 + V2

V = 6624 cubic inches + 3864 cubic inches

V = 10488 cubic inches

Hence, the volume of the figure is 10488 cubic inches

Read more about volumes at:

https://brainly.com/question/1972490

Answer:

The answer is D: 10488

Step-by-step explanation:

Answer:

43.78

Step-by-step explanation:

In this case, the formula for mean can be as followed:

[tex]mean = \frac{sum \: of \: all \: student \: scores}{number \: of \: students} [/tex]

Let the sum of all student scores for class A and class B be A and B respectfully,

For Class A,

A/28 = 34

A/28 = 34A = 952

For Class B,

B/8 = 78

B/8 = 78B = 624

Now to find the mean score of both classes using the same formula,

Mean = (952+624)/(28+8)

= 43.77777777777778

≈ 43.78

The equivalent expression for the expression that represents the amount Carmen would earn is 5000(1.0005^12)^t.

Based on the expression given, Carmen's investment is compounded monthly.

The formula for calculating future value:

FV = P (1 + r)^nm

5000(1.0005)^12t

= 5000(1.0005^12)^t

50002.5^12t

Please find attached the complete question.To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

Step-by-step explanation:

hours              Cost

  0                   $15

   1                    $15 + 2.50 = $17.50

   2                    $15 + 2.50(2) = $15 + 5 = $20

   3                     $15 + 2.50(3)= $15 + 7.50 = $22.50

   4.                     $15 + 2.50(4)= $15 + 10 = $25

Answer:

[tex]\boxed{\sf{y=-50 \quad x=3}}[/tex]

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

First, you have to substitute.

[tex]\sf{y=-15x-5=11x-15x-5=-17}[/tex]

Then, you solve.

[tex]\sf{-4x-5=-17}[/tex]

Add by 5 from both sides.

-4x-5+5=-17+5

Solve.

-17+5=-12

-4x=-12

Divide by -4 from both sides.

-4x/-4=-12/-4

Solve.

-12/-4=3

x=3

y=-15*3-5

Solve.

PEMDAS stands for:

15*3=45

Rewrite the problem down.

y=-45-5

Solve.

y=-50

Therefore, the correct answer is y=-50 and x=3.

I hope this helps you! Let me know if my answer is wrong or not.  

Answer:

48 ounce bag of granola per month.

T = 48x

Where 'x' represents the months.

Replace x with 12, because we want to know how many ounces she eats each year.

T = 48x

T = 48(12)

T = 576 ounces, she eats each year.

Answer:

Hello fellow Human! ^ω^

The answer is option D. 0.308

Step-by-step explanation:

We are going to Compare the digits starting with the greatest place value.

Therefore, the answer is Option D. 0.308

Hope this helps!

Have an Awesome Friday!

Answer:

6x - 8x + 4 + 36 - 9x

= 40 - 11x