Simplify the expression: 4(x + 3) + 3(5 – x) A X + 27 B X + 8 C 2x + 15 D. 19x + 11​

Answer:

y = 8/6x + 10/3

Step-by-step explanation:

You find the slope (m) first which is

Change of y over change of x

(6) - (-2)   over   (2)- (-4)

8/6 = m

Then you plug it into the equation y = mx + b

y = (8/6)x + b

Now you pick any of the set of points to plug in for x and y to solve for b

(6) = (8/6)(2) + b

6 = 8/3 + b

b = 10/3

Then plug into the equation for just m and b to get the equation of the line that passes thru both sets of points.

y = 8/6x + 10/3

Answer:

I'm pretty sure the answer is the last one;

6 x (40+2) = (6 x 40) + (6 x 2)

The 6 is distributed to the 40 and the 2

Answer:

[tex]\boxed {\boxed {\sf 1. \ 20 }}[/tex]

Step-by-step explanation:

An equilateral triangle has 3 equal sides and angles. Remember that equilateral sounds like equal.

The interior angles of a triangle must equal 180 degrees.

The question tells us the angle is equal to (4x-20).

So, by substitution, we can set 60 and (4x-20) equal to each other.

[tex]60=4x-20[/tex]

Now, solve for x by isolating the variable on one side of the equation.

20 is being subtracted from 4x and the inverse operation of subtraction is addition. Add 20 to both sides of the equation.

[tex]20+60=4x-20+20 \\ 20+60=4x\\80=4x[/tex]

x is being multiplied by 4. The inverse operation of multiplication is division. Divide both sides of the equation by 4.

[tex]\frac{80}{4}=\frac{4x}{4}[/tex]

[tex]\frac{80}{4}=x \\\ 20=x[/tex]

x is equal to 20 and choice 1 is correct.

Answer:

(1,7)

(0,2)

(-1,-3)

(-2,-8)

put dots on these points and put a line through all of them making on line

Answer: (2.)

1 and 111 only

Step-by-step explanation:

hire 6 men and time then with a stopwatch and then you have your answer

Answer:

(3x+21)(x-5)

Step-by-step explanation:

To solve this let's create an equation that has intercepts at -7 and 5

To do this we get the following

(x+7)(x-5)

Now we need to make sure that the line passes through (4,-33) To do so we will plug in 4 to see how far off we are

If you plug in 4 into x you should get -11

To make y= -33 we simply need to put a three in the front and then distribute it to the first bracket

So we have

3(x+7)(x-5)

then distribute the 3 to get

(3x+21)(x-5)

I doubled checked this answer on desmos and my math is correct

Answer:

See below.

Step-by-step explanation:

The domain refers to the x values used in the equation/graph. The line appears to go from -10 to 10 on the x-axis. The dots above -10 and 10 are not shaded in meaning those x values do not count towards the domain meaning we will use parenthesis instead of brackets for interval notation or no equal to signs in inequality notation.

Interval Notation: (-10, 10)

Inequality Notation: -10 < x < 10

Answer: 5.25

Step-by-step explanation: .35*15=5.25

Answer:

5.25

Step-by-step explanation:

change the percent to a decimal by moving the dot to the left two places, then multiply it by the number

0.35*15=5.25

Answer:

3

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

Answer:

[tex]x = 18[/tex]

[tex]y = 6\sqrt{3}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are called the legs.  

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides as follows:

Cosine Ratio

[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

Sine Ratio

[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

Consider the angle of θ=30°, then we can write:

[tex]\displaystyle \cos 30^\circ=\frac{x}{12\sqrt{3}}[/tex]

Solving for x:

[tex]x=12\sqrt{3}\cos 30^\circ[/tex]

Since:

[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]

Then:

[tex]x=12\sqrt{3}\cdot \frac{\sqrt{3}}{2}[/tex]

[tex]x = 18[/tex]

Now apply the sine:

[tex]\displaystyle \sin 30^\circ=\frac{y}{12\sqrt{3}}[/tex]

Solving for y:

[tex]y=12\sqrt{3}\sin 30^\circ[/tex]

Since:

[tex]\sin 30^\circ=\frac{1}{2}[/tex]

Then:

[tex]y=12\sqrt{3}\cdot \frac{1}{2}[/tex]

[tex]y = 6\sqrt{3}[/tex]

Answer:

[tex]x = 18[/tex]

[tex]y = 6\sqrt{3}[/tex]

Answer: 2:3

Step-by-step explanation:

25/75 beads are square. Thus, 1 out of every 3 beads (1/3) is square. With this information, 2/3 of the beads are round because 1 - 1/3 = 2/3.

This means that the ratio of round to square beads is 2:3.

Answer:

Here you go! Hope it helps!

Step-by-step explanation:

Answer:

1) m= 12/7

2) k= -  81/16

Answer:

1. 1 5/7

2. -5 1/16

Step-by-step explanation:

1. Solve for M by simplifying both sides of the equation then isolationg the variable.

2. Solve for K by simplifying both sides of the equation then isolationg the variable.

Answer:

(A) First table

___________

Input: 6, 9, 12

Output: 8, 12, 16

Step-by-step explanation:

To determine whether or not a function is a direct variation, x and y must divide evenly and have a constant factor or factor that stays the same.

B and C don't divide evenly so those are already wrong, and D is wrong because x and y do not divide by the same factor every time.

Answer:

3

Step-by-step explanation:

2 / (2/3) = 2 * 3/2 = 6/2 = 3

Answer:

Answer is

2

Step-by-step explanation:

Answer:

V= 50.27

Step-by-step explanation:

V=(3.14)4^2(3/3)

50.27

The volume of the cone created by mike with diameter of 3 feet is 50.24 feet³

What information do we have?

Diameter of cone = 8 feet

Height of cone = 3 feet

Radius of cone = 8 / 2

Radius of cone = 4 feet

Volume of cone = (1/3)(π)(r²)(h)

Volume of cone = (1/3)(3.14)(4²)(3)

Volume of cone = (1/3)(3.14)(16)(3)

Volume of cone = 50.24 feet³

Find out more information about 'Cone'.

https://brainly.com/question/16394302?referrer=searchResults

Answer:

[tex] \frac{y - 3}{x - 0} = \frac{3 - 1}{0 - 1} = \frac{2}{ - 1} \\ \frac{y - 3}{x} = - 2 \\ y - 3 = - 2x\\ 2x + y - 3 = 0 \\y = - 2x + 3 \\ \boxed{f(x) = - 2x + 3}[/tex]

hope this helps.

Answer:

30

Step-by-step explanation: you add 3+3 and multiply 5 and get 6x5 is 30

Answer:

y=3.5572205

x=0.1114441

Step-by-step explanation:

Answer:

Two dollars each

Step-by-step explanation:

Answer:

6/3 is 2. That's the total cost of each pencil.

Step-by-step explanation:  

Answer:

877.40

Step-by-step explanation: