Simplify the following expression. (0.5x – 3)(0.5x + 3)​

Answer:

[tex]y=-\frac{4}{3} x+4[/tex]

Step-by-step explanation:

Slope-intercept form is written in [tex]y=mx+b[/tex]

So, to solve, we must separate y onto one side and make its coefficient one.

[tex]4x+3y=12[/tex]

Subtract 4x on both sides.

[tex]3y=12-4x[/tex]

Divide both sides by the coefficient of [tex]y[/tex], which is 3.

[tex]\frac{3y}{3} =\frac{12-4x}{3}[/tex]

Simplify.

[tex]y=4-\frac{4}{3} x[/tex]

Rewrite this equation into standard form by changing the order of [tex]mx[/tex] and [tex]b[/tex]

[tex]y=-\frac{4}{3} x+4[/tex]

Answer

y=4/5 times 2/3

Step-by-step explanation:

Answer:

64in

Step-by-step explanation:

v=L×W×H

= 4×4×4

= 16 ×4

= 64in²

Answer:

12.04

Step-by-step explanation:

the distance between two points in the x-axis

15-3 = 12

the distance between two points in the y-axis

7-6=1

using Pythagorean theory

a²+b²=c²

12²+1²=c²

144+1=c²

145=c²

√145=√c²

12.04=c

Answer:

y = -2 and x = 4

Step-by-step explanation:

8x + 14y = 4

-6x - 7y = -10

First, find the lowest common multiple of 8 and 6 (which is 24). Multiply the first equation by 3:

8x + 14y = 4

3(8x + 14y) = 3(4)

24x + 42y = 12

Multiply the second equation by 4:

-6x - 7y = -10

4(-6x - 7y) = 4(-10)

-24x - 28y = -40

Now, add the two equations together:

24x + 42y = 12

-24x - 28y = -40

24x + -24x = 0

42y + -28y = 14y

12 + -40 = -28

14y = -28

Divide both sides by 14:

14y ÷ 14 = -28 ÷ 14

y = -2

Plug this known variable back into the first equation:

8x + 14(-2) = 4

8x + (-28) = 4

8x - 28 = 4

Add 28 to both sides:

8x - 28 + 28 = 4 + 28

8x = 32

Divide both sides by 8:

8x ÷ 8 = 32 ÷ 8

x = 4

So y = -2 and x = 4.

Hope this helps!

Answer:

Using the Vertical Angle Theorem,

if two angles are vertical, then they are congruent

therefore, ∡4=∡5 and ∡6=∡7

since ∡4≅∡7

then ∡5 must also be ≅ to ∡6

Step-by-step explanation:

Step-by-step explanation:

Statement                                        Reason                        

∠4 ≅ ∠7                                           Given

∠4 and ∠5 are vertical angles        Vertical angles theorem

∠6 and ∠7 are vertical angles        Vertical angles theorem

∠4 ≅ ∠5 and ∠ 6≅ ∠7                     Definition of vertical angles

∠5 ≅ ∠6                                           Substitution property of equality

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

Explanation:

Let's say for example this pizza had 6 slices to start with. Two-thirds of this is (2/3)*12 = 4 slices. So you have 4 slices left over from yesterday. Then let's say you hand one slice to each of your four friends. Each friend would have 1/6 of the original pizza.

I think the answer might be c

Answer:

(1,5) and (4,7)

Step-by-step explanation:

The slope of linear equations can be determined by m = rise / run. Rise means the difference between the y coordinates of the two points, and run is that of the y coordinates. In this case rise / run = (7-5) / (4-1) = 2 / 3.

Answer:

-20;two nonreal solutions

Step-by-step explanation:

D=b^2-4ac=36-14*4=-20

because after that you need to write D^1/2 and D is <0,the solutions are unreal

Answer:

-20 and two nonreal solutions.

Step-by-step explanation:

The discriminant of a quadratic equation uses the equation:

[tex]b^2 - 4ac[/tex]

Where the value of this calculation can tell you what solutions there are, plug known values in:

[tex]x^2 + 6x + 14 = 0\\a = 1\\b = 6\\c = 14\\[/tex]

[tex]b^2 - 4ac\\6^2 - 4(1)(14)\\36 - (4 * 14)\\36 - 56 = -20[/tex]

As -20 < 0, this means that there is not a real solution, resulting in the first option being correct.

Hope this helps!

The domain is {x ∈ R : x ≠ 0} (where R is the set of all real numbers), since x⁶ is a non-negative number for all real numbers x.

The range is R or the interval (-∞, ∞).

[tex]\\ \sf\longmapsto V=5in^3[/tex]

[tex]\\ \sf\longmapsto side^3=5[/tex]

[tex]\\ \sf\longmapsto side=\sqrt[3]{5}[/tex]

[tex]\\ \sf\longmapsto side=2.2in[/tex]

Side gets tripled

[tex]\\ \sf\longmapsto Volume=6.6^3[/tex]

[tex]\\ \sf\longmapsto Volume=287.4in^3[/tex]

Answer:

Step-by-step explanation:

If the side of the cube is s and volume is 5 and you triple the side then:

The enlarged cube has the volume:

Answer:

C

Step-by-step explanation:

There are 12 months in 1 year , then

3 lots of 4 months in 1 year and

3 × 3 = 9 lots of 4 months in 3 years

cost of lessons = $174 × 9 = $1566 → C

Answer:

85/8 = 10.625

= 10.6

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

 S = kpq 280 = k(5)(7) 280 = 35k 8 = k

Answer:-2(5+3p)

Step-by-step explanation:

The values of a and b from the given complex numbers is 8 and -3 respectively.

The standard form of representing complex number is expressed as z = x + iy

Given the complex numbers z = 8 – 3i, and z2 = a + bi

To get the values of a and b, we need to compare both expressions as shown:

For the real part;

a = 8

For the imaginary part:

-3i = bi

-3 = b

Swap

b = -3

Hence the values of a and b from the given complex numbers is 8 and -3 respectively.

Learn more about complex numbers here: https://brainly.com/question/12375854

Answer:

Choc Bar: 258 cals

Coco Bar: 264 cals

Step-by-step explanation:

What we can do here is something called making a system of equations.

Let us name the choc. bars x and the coco. bars y.

Then, we can get:

x+2y=780

2x+y=786

Next, we solve for x in the first equation

x=780-2y

Now, we can substitute:

2(780-2y)+y=786

1560-3y=786

-3y=-774

y=258

x=780-516

x=264

Answer:

Step-by-step explanation:

Distance formula: [tex]d=\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}[/tex]

[tex]d=\sqrt{(4.1-4.1)^{2}+(2.7-9.5)^{2}}=\sqrt{(-6.8)^{2}} = 6.8[/tex]  

Note that distance is always positive

Answer:

Cociente: Español

Step-by-step explanation:

Quotient: English

Answer:

The coastline of alaska is longer than the entire coastline of the lower forty-eight states

Answer:

13

Step-by-step explanation:

b2-12a

2(8)-12(1/4)

16-12/4

16-3

13

Answer:

8 batches

Step-by-step explanation:

You would have to divide 3 1/5 by 2/5, which gets you 8 batches of brownies.

Answer:

[tex](-2;-6)[/tex]

Step-by-step explanation:

First of all, let's rewrite the first one after dividing both sides by 2.

[tex]\left \{ {{3x-2y=-12\atop {4x+5y=-2}} \right.[/tex]

Now, let's pick one you want to eliminate.

Eliminating x: Let's multiply the first one by 4, the second by 3, and subtract one from the other. Rest is simply solving an equation in one variable

[tex]4I-3II : 12x-8y-12x+15y = -48 - (-6)\\7y = -42 \rightarrow y= -6[/tex]

Eliminating y: Let's multiply the first by 5, the second by 2, and add them together. Rest is simply solving an equation in one variable

[tex]5I+2II: 15x -10y +8x +10y = -60 +4\\23x = -56 \rightarrow x=-2[/tex]

this is an exponential growth formula:

Total = start value x ( 1 + percent) ^ time

Population = 275(1.075)^h