In what form is an equation that relates two proportional quantities x and y? Explain your thinking.

5x - 3(x + 9) + 10 = 4

[tex] \implies [/tex][tex]5x - 3x - 27 + 10 = 4[/tex]

[tex] \implies [/tex][tex]2x - 17 = 4[/tex]

[tex] \implies [/tex][tex]2x = 4 + 17[/tex]

[tex] \implies [/tex][tex]2x = 21[/tex]

[tex] \implies [/tex][tex]x = \frac{21}{2} [/tex]

Answer: i need to know how many ounces of each juice are needed per smoothie

Step-by-step explanation:

Answer:

x=[tex]\sqrt5/2[/tex] , x = -[tex]\sqrt5/2\\[/tex]

Step-by-step explanation:

2x^2-5=0

add 5 to both sides

2x^2-5+5=0+5

2x^2=5

(2x^2/2) = 5/2

x^2=5/2

x=[tex]\sqrt5/2\\[/tex] , x = -[tex]\sqrt5/2[/tex]

To determine the nature of the roots of the quadratic equation y [tex]= 2x^2 - 5[/tex], we can analyze its discriminant (denoted by Δ).

The discriminant is calculated using the formula Δ [tex]= b^2 - 4ac,[/tex] where a, b, and c represent the coefficients of the quadratic equation in the standard form [tex]ax^2 + bx + c = 0.[/tex] For the given equation, a [tex]= 2,[/tex] b [tex]= 0,[/tex]and c [tex]= -5.[/tex]Plugging these values into the discriminant formula, we have: Δ [tex]= 0^2 - 4(2)(-5) Δ = 0 + 40 Δ = 40[/tex]The discriminant is positive, indicating two distinct real roots.

Since the discriminant is greater than zero, we can conclude that the roots of the equation are real and different. Therefore, the nature of the roots for y[tex]= 2x^2 - 5 i[/tex]s that it has two distinct real roots.

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Answer:

(22 + 26) ÷ 8 = g (or groups)

Step-by-step explanation:

Answer:(26 + 22)/8 = z

Step-by-step explanation:

Answer:

An apple, potato, and onion all taste the same if you eat them with your nose plugged

Step-by-step explanation:

Answer:

x = - 9, x = - [tex]\frac{1}{6}[/tex], x = 4

Step-by-step explanation:

To obtain the zeros, equate f(x) to zero, that is

(x + 9)(x - 4)(6x + 1) = 0

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x - 4 = 0 ⇒ x = 4

6x + 1 = 0 ⇒ 6x = - 1 ⇒ x = - [tex]\frac{1}{6}[/tex]

Answer:

Dijonea have 8192  megabytes on her memory card

Step-by-step explanation:

Capacity of Tammy's memory card =  4-gigabyte

given that Dijonea buys a memory card with twice as much storage as Tammy’s

Thus,

Capacity of Dijonea's memory card =  2*Capacity of Tammy's memory card

Capacity of Dijonea's memory card =  2*4-gigabyte = 8-gigabyte

Given that

1 gigabyte = 1,024 megabytes

we have to find value of 8 gigabyte in terms of megabytes

for that we multiple both side in above equation by 8

1 *8 gigabyte = 1,024 *8 megabytes

8 gigabyte = 8192  megabytes

Thus, Dijonea have 8192  megabytes on her memory card

Answer:  Choice D

Step-by-step explanation:

p=2w+2l  Subtract 2w from both sides

p - 2w = 2w - 2w +2l   2w-2w = 0 cancels

p- 2w = 2l . Divide both sides by 2  2/2 =1 cancels leaving l isolated

p - 2w/2 = l

Reverse

l =  p-2w/2

Answer:

I think the best answer for me would be c if thats wrong sry

I hope this helps :)

Answer:

49

Step-by-step explanation:

a+87=136

a=136-87

a=49

Answer:

10- 14 -4

Step-by-step explanation:

so practically what I was saying is 6 +4equals 10 and then 14minus10 equals 4

Answer:

x-6x=14-4

5x=10

X=10/5

X=2

Answer:

6165421

Step-by-step explanation:

whatever you do to 1 side you have to do to the other. add 1662 as the calculation is a minus.

Answer:

a,c,b

Step-by-step explanation:

Answer:

0>-7

true for all X

aka (-infinite, infinite)

Answer:

Step-by-step explanation:

If we take the number as 7 so 3 times 7 is

3 x 7 = 21

Subtracted by 6 = 21 - 6= 15

So the number is 7

Answer:

7

Step-by-step explanation

Add the subtracted value to the other given value

15+6=21

Since we know it is 3 times the number, divide by 3 to get the number

21/3=7

Check:

21=3x7

21=21

Answer:

f(x) = x² - 5x + 6

Step-by-step explanation:

Given a root of a polynomial x = a then the factor is (x - a)

Here the roots are x = 3 and x = 2 , thus the corresponding factors are

(x - 3) and (x - 2)

The polynomial is then the product of the factors, that is

f(x) = (x - 3)(x - 2) ← expand using FOIL

      = x² - 5x + 6

Letters that have lines of symmetry is : I

Consider a plane. Let a design or shape on that plane. Now consider an axis. If we think of that axis as a mirror, and on the opposite side of that axis create the image of the shape, then if the shape's image looks exactly as the shape itself, then that shape is called to have a reflectional symmetry.

The lines of symmetry can be found as vertical or horizontal. Letters O, H, I. X have 2 lines of symmetry and other have 1.

At least one line of symmetry have letters:

A, B, C, D, E, H, I, M, O, T, U, V, W, X, Y ( you can choose one ).

The letter G has a no axis of symmetry and letter L has a horizontal axis of symmetry.

The letter I is the right one because it is a half and both look the same.

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Answer:

x = 25 :)

Step-by-step explanation:

(5x+10)+(2x-5)=180

then solve!

hope this helps

Answer:

The answer is X = 25

Step-by-step explanation:

Center = (5,7)

Radius = 5

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

Explanation:

The circle must be tangent to the y axis, and it has a radius of 5, so that means the center (h,k) must either be on the line x = 5 or x = -5, since those vertical lines are exactly five units away from the y axis.

But we're also told that (10,7) must be on the circle. That rules out x = -5 because the distance from (10,7) to (-5,k) is going to be larger than 5. I recommend drawing out a right triangle to see why this is the case.

So the center (h,k) must be on the line x = 5.

The center is the point (h,k) = (5,k)

Plug that h value along with (x,y) = (10,7) and r = 5 into the equation below

Solve for k.

(x-h)^2 + (y-k)^2 = r^2

(x-5)^2 + (y-k)^2 = 5^2 .... plug in h = 5 and r = 5

(10-5)^2 + (7-k)^2 = 25 ... plug in x = 10 and y = 7

25 + (7-k)^2 = 25

(7-k)^2 = 25-25

(7-k)^2 = 0

7-k = sqrt(0)

7-k = 0

-k = 0-7

-k = -7

k = 7

The center is (h,k) = (5,7)

We have (x-h)^2 + (y-k)^2 = r^2 updating to (x-5)^2 + (y-7)^2 = 25

The equation of the circle is   (x-5)^2 + (y-7)^2 is25 .  The center of the circle is Center is (5,7) .Radius of the circle  is  5

Circle's basic equation is represented by:

(x-h)2 + (y-k)2 = r2

where the radius is r and the circle's center's coordinates are (h,k).

Let's first consider what a circle is before determining its equation. A circle is a collection of all points in a plane that are uniformly distanced from a fixed point. The fixed point is referred to as the circle's center. The radius of a circle is the separation between the center and any point along its circumference. In this article, we'll explain what a circle's equation looks like in standard form and show you how to calculate a circle's equation when its center is both the origin and another point.

The center (h,k) of the circle, which must be tangent to the y axis and have a radius of 5, must either be on the line x = 5 or x = -5 since both vertical lines are both located exactly five units from the y axis.

The need that (10,7) be on the circle is also stated, though. That eliminates the possibility of x = -5 because the distance from (10,7) to (-5,k) will be more than 5. To understand why this is the case, I advise you to sketch a right triangle.

Therefore, the line x = 5 must contain the center (h,k).

The point (h,k) = is the center (5,k)

Given ,

In the equation below, enter that h value along with (x,y) = (10,7) and r = 5.

Calculate k using the formula.

(x-h)^2 + (y-k)^2 = r^2

(x-5)^2 + (y-k)^2 = 5^2 add a h = 5 and r = 5 plug.

(10-5)^2 + (7-k)^2 = 25  Input x = 10 and y = 7

25 + (7-k)^2 = 25

(7-k)^2 = 25-25

(7-k)^2 = 0

7-k = sqrt (0)

7-k = 0

-k = 0-7

-k = -7

k = 7

(h,k) = is the center (5,7)

Updated to (x-5) + (y-7) = 25, we have (x-h) + (y-k) = r2.

Therefore The equation of the circle is   (x-5)^2 + (y-7)^2 is25

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Answer:

then study well

Step-by-step explanation:

that might help, but I could help with any study questions, but I cant do test questions from the test

Answer: 90 sqm

Step-by-step explanation:

The township's land measurement is 36 square miles. If you want to know the measurement in 2 1/2 townships you need to multiply 2 1/2 times the square miles in a single township.

Step 1: Convert 2 1/2 to an improper fraction.

2 1/2 = 5/2

Step 2: Multiply

5/2 x 36/1 = 180/2 = 90 sqm

Answer:

$3

Step-by-step explanation:

80% of 15 is 12

15-12=3

Answer:

243

Step-by-step explanation:

the reason why it's 243 is because 3 x 3 = 9, 9 x 3 = 27, and 81 x 3 = 243.

Answer: Step-by-step explanation: 243

Lets look at the difference between the first two numbers (3 and 9). to get from 3 to 9, we either have to multiply by 3, or add 6.

Next, let's look at the difference between 9 and 27. to get from 9 to 27, you have to multilpy by 3, or add 18.

If we conitnue to multiply the previous by 3, we get the following number, therefore we know the answer is to multiply by 3.

if we multiply 81 by 3, we get 243

Answer:

The average change of temperature in one hour is -3

Step-by-step explanation:

You had to divide 36 by 12

Answer:

7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ending depth = -287

Starting depth= -212

Difference =      -75 feet

The submarine plans on dropping 15 feet a minute.

Time = displacement / time = -75/-15 = 5 minutes.

Answer: D

Answer:

Values of y are:

2 1 -1

2 -1 -4