Substitution method please

Substitution Method Please

Answers

Answer 1

Answer:

x = 3, y = -2

Step-by-step explanation:

Solving the bottom equation for y, we have y = 4 - 2x. Substitute that into the top equation, and solve for x.

4x - 3(4 -2x) = 18

4x - 12 + 6x = 18

10x - 12 = 18

10x = 30

x = 3

From this, we have y = 4 - 2(3) = 4 - 6 = -2


Related Questions

Why do you replace y with 0 when finding the x-intercept of a graph?

Answers

Here’s what you need to know about intercepts. The x intercept of a graph has y coordinate zero. The y intercept of a graph has x coordinate zero.

AN EXAMPLE OF THIS IS:

So if you have a function y = 2x + 8 you would set x = 0 to find the y intercept. So we would get y = 8. To find the x intercept we would set y = 0 and get 0 = 2x + 8

or -8 = 2x or x = -4

Now if you have a more difficult like function y = 3x^2 + 10x - 4 we proceed the same way. To find the y intercept we would set x = 0 and get y = -4 so the y intercept is (0,-4)

To find the x intercept we would set y = 0 and get 3x^2 + 10x - 4 = 0. If you know the quadratic formula you could solve this by:

x = [-b +- SR(b^2 - 4*a*c] / 2a

so in our case x = [-10 +- SR(100 - 4*3*(-4))] / (2*3)

x = [-10 +- SR(100 + 48)] / 6

x = [-10 +- SR (148)] / 6

x = [-10 +- 12.2] / 6 approximately

x = [-10 - 12.2] / 6 or [-10 + 12.2 / 6]

x = -22.2/6 or 2.2/6

Determine the current temperature in degrees Celsius if the current temperature is 89 degrees Fahrenheit in Alberta, Canada. Round the final answer to the nearest whole number. (1 point)
32
56
98
103

Answers

Answer:

32 C

Step-by-step explanation:

According to celsius conversion formula:

C = 5/9*(F-32)

= 5/9*(89-32)

= 5/9*57

Hence, C = 31.666

Rounding it off to the nearest whole number, the answer is 32 C.

Which expression is equivalent to i 233?
1
–1
i
–i

Answers

Step-by-step explanation:

i¹ = i

i² = i×i = -1

i³ = -1 × i = -i

i⁴ = -i×i = - -1 = 1

i⁵ = 1×i = i

...

so, when the exponent of i modulo 4 (the remainder when dividing by 4) = 0, then the result is 1.

= 1, then the result is i

= 2, then the result is -1

= 3, then the result is -i

233 modulo 4 = 1 (233/4 = 58, remainder 1).

so, the result is i (the third answer option).

For each pair of points, find the slope of the line that passes through the points.
(5, 4) and (0:1)
(3,7) and (-2,2)

Answers

hello! :)

Use the slope formula:-

[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]

[tex]\displaystyle\frac{1-4}{0-5}=\frac{-3}{-5} =\frac{3}{5}[/tex]

Second pair:-

[tex]\displaystyle\frac{2-7}{-2-3} =\frac{-5}{-5} =1[/tex]

notes:-

If we multiply/divide a negative by a negative, we get a positive. :)

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

can u help me pleeeeeeeeeeeease

Answers

42 for the first one and 105 for the second one

The cone has a height of 6 and a diameter of 3 inches. What is the volume?

Answers

Answer:

14.14

Step-by-step explanation:

We know that to calculate volume of a cone you must do π r^2*h/3

so we can divide the diameter by 2 to find the radius and just input the radius and height into the formula to get 14.14

Provide the missing reasons for the proof.

Given: AB || RS

Prove: QA/QR = QB/QS

Answers

Answer:

1) given

2) reflexive property

3) corresponding angles theorem

4) AA similarity

5) Corresponding sides of similar triangles are proportional.

- Which of the following would best be solved using completing the square?
A. 22 – 2 – 20 = 0
B. 22 = 36
C. 2x2 + 15x = 6
D. 203 – 3c2 + 45 – 12 = 0

Answers

Answer:

C

Step-by-step explanation:

You can only complete the square with quadratic equations (equations leading with x^2)

C is the only answer choice that leads with x^2

Answer:

A

Step-by-step explanation:

Because you would do 22 _2 _20 and your answer will be zero .

If someone could help me with this I would really appreciate it thank you !!

Answers

Answer:

It should be thirty if i read question properly

If want process pls comment

Answer:

30 in

Explanation: 10/2 =5 4/2=2 6/2=3

5x2=10 10x3=30 in!

Tell whether the triangle with the given side lengths is a right triangle.

24 m, 45 m, 51 m

Yes or No

GIVING TONS OF BRAINLIEST IF YOUR ANSWER IS CORRECT!!

Answers

I believe the answer is Yes
No, because right triangle is 90 degrees

Reflection across the line y=2 (1,4) (4,4) (1,2) (3,2)

Answers

Answer:

A(0,1) B(0,4) C(1,2) D(3,2)

Step-by-step explanation:

Write an expression that I’d equivalent to 1/2a - 4. URGENT, LIMITED TIME.

Answers

Answer:

1/2(a-4)

Step-by-step explanation:

first blank is 1/2 and second is 4.

This box plot displays information about the number of text messages some students sent one day.


What is the median number of texts sent by the students?

What is the IQR ?

P.S Please don't troll I really need help ​

Answers

Answer:

Median is between 10 - 15 so you could estimate it to = 14. IQR = 10.

Step-by-step explanation:

Median is an estimate based on the box plot and IQR is the is the differene between Q3 and Q1,

What is the equation of a hyperbola with a = 8 and c = 20? Assume that the transverse axis is horizontal.

Answers

Answer:

[tex]\frac{x^{2} }{64} -\frac{y^{2} }{336} =1[/tex]

Step-by-step explanation:

The equation of hyperbola is given by:

[tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} }[/tex]

Where [tex]c^{2} =a^{2} +b^{2}[/tex]

∵ [tex]a=8,c=20[/tex]

∴ [tex]b^{2} =c^{2} -a^{2}[/tex]

⇒ [tex]b= \sqrt{20^{2} -8^{2} } =4\sqrt{21}[/tex]

Now, [tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1[/tex]

⇒ [tex]\frac{x^{2} }{8^{2} } -\frac{y^{2} }{y(4\sqrt{21} )^{2} } =1[/tex]

⇒ [tex]\frac{x^{2} }{64} -\frac{y^{2} }{336} =1[/tex]

Hence, equation is [tex]\frac{x^{2} }{64} -\frac{y^{2} }{336} =1[/tex]

Hope this helps,

ROR

Which ones are greater?

-9 ? 2
-1 ? -3
3 ? -7
-8 ? -4

Answers

Answer:

-9<2

-1>-3

3>-7

-8<-4

Explanation:

< = less than

> = more than

Answer:

2 -1 3 -4 and its always positive if you do the negitives it would be the lowst

if a quadratic in x is greater than zero for all values of x, then can it have real roots?

Answers

Answer:

There's no real roots

Answer:

No.

Step-by-step explanation:

The graph will not cut the x-axis.

The graph of trapezoid ABCD has coordinates A(–2,–2), B(–3,–4), C(2,–4), D(1,–2)

Answers

Answer:

Can I have a picture of the Graph please?

Pahelp pi pls...:-D

Answers

Step-by-step explanation:

2)D

3)A

4) B

5)C

6)D

7)B

8)B

9)C

10)C

11)A

12)D

p.s Pls at least try to do ur test urself

13) D

I need help with this

Answers

I think the brainlest answer here would be my answer because I need points it’s 57^2/45^4x

which is an algebraic expression for the product of 10 and a

Answers

the product of 10 and a

10 × a = (product)

What is an angle that is supplementary to
I’m so close to being done with this so please help

Answers

Answer:

<GBF

Step-by-step explanation:

Supplementary angles add up to = 180 degrees. Usually, they are side by side in transversals such as this one. The angle supplementary to <GBH is <GBF or <FBG.

Hope this helps!

plssssss helpppppp meeeeeeeee

Answers

Answer:

A

Step-by-step explanation:

i dk im just desperate because the entire community is offline

I think ITS the first one

John Travolta flew his plane last weekend. What would be the angle measure of∠x when his plane reached an altitude of 2500m?

Answers

Answer:

67°

Step-by-step explanation:

Ignore the 2500m for now.

To find angle x, we know that the sum of the degrees in a triangle is 180. We see that under the 2500m there is a square, indicating that the angle is 90 degrees.
So we can do 180-23-90 = 67.

Therefore, the angle measure of ∠x is 67°

What is the measure?

Answers

Answer:

180 - 70 = 110 degrees

Step-by-step explanation:

180 is half a circle, so the half minus 70 is 110

Find the surface of the figure.

Answers

Answer:

64 square in.

Step-by-step explanation:

4*4=16

4*6*1/2*4= 48

16+48= 64

Answer:

64in^2

Step-by-step explanation:

Surface area of pyramid =

[tex] \frac{1}{2}( p \times l) + b[/tex]

plugging the numbers in, 1/2(16*6)+16

SA= 64

P'(8,-2) is the image of P after a 180° rotation about the origin. What are the coordinates of P?​

Answers

Answer:

-8,2

Step-by-step explanation:

180 Rotation formula: -x,-y


Given: 8,-2

Apply: -x,-y

Outcome: -8,2

Which of the following equations is CORRECT?
A. (a + b) (a – b) = a 2 + b 2
C. (a + b) (a – b) = a 2 + ab + ab + b 2
B. (a + b) (a – b) = a 2 − b 2
D. (a + b) (a – b) = a 2 − ab − ab − b 2

Answers

Answer:

Option C, the second one. (B and C are switched)

Step-by-step explanation:

a * a = a2

a * b = +ab

⬇️

2ab

⬆️

b * a = +ba or +ab

Two b's make b2 and don't worry, even with the negative sign it is a b2.

4/15, 5/27, 7/18 Arrange the fractions in ascending order​

Answers

Answer:

Take lcm and see

Step-by-step explanation:

5/27 ;4/15 ;7/18

Solve for Y. Will mark branliest please help!

Answers

Answer:

y = 2 v2, 2 square root 2

Step-by-step explanation:

since it's a right triangle with a 45°, that means the other angle is also 45°

which makes both sides the same

Pythagoras

4^2 = y^2 + y^2

16 = 2 y^2

16/2 = y^2

8 = y ^2

v8 = y

2 v2 = y

note: (v = square root)

Answer:

[tex]2\sqrt{2[/tex]

Step-by-step explanation:

The ratios of a 45 - 45 - 90 triangle is [tex]1:1:\sqrt{2}[/tex]

To get 4 for the hypotenuse, you need to mulitpy [tex]\sqrt{2}[/tex] by [tex]\sqrt{8}[/tex].

[tex]\sqrt{2}[/tex] x [tex]\sqrt{8}[/tex] = [tex]\sqrt{16}[/tex]

Simplify.

[tex]\sqrt{16} = 4[/tex]

If you simplify the [tex]\sqrt{8}[/tex], it equals [tex]2\sqrt{2}[/tex].

Since the ratio is [tex]1:1:\sqrt{2}[/tex]

The sides will be [tex]2\sqrt{2}:2\sqrt{2}:4[/tex]

Al vender una computadora, un vendedor descuenta el 15%, y aun así gana el 35%, del costo. ¿qué %del costo es el precio de venta?

Answers

Veremos que el precio de venta es el 158% del costo.

¿Que porcentaje del costo es el precio de venta?

Sabemos que con el descuento del 15%, el vendedor gana 35% del costo.

Es decir, si el costo es C, entonces el precio al que se vende la computadora es:

P' = (1 + 0.35)*C = 1.35*C

Pero, esto es con un 15% de descuento. Entonces si el precio de venta es P, tendremos:

P' = (1 - 0.15)*P = (0.85)*P

Reemplazando esto arriba tenemos:

(0.85)*P =  1.35*C

Resolviendo para P:

P = 1.35*C/0.85 = 1.58*C

Para obtener el porcentaje, multiplicamos el coeficiente por 100%.

1.58*100% = 158%.

Es decir, el precio de venta es el 158% del costo.

Sí quieres aprender más sobre porcentajes puedes leer:

https://brainly.com/question/843074

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