Solve for x.
5x – 3 = 2x +12

Answer:

x=-113

Step-by-step explanation:

2(3x+4)−3(x−1)=x−1x

Step 1: Simplify both sides of the equation.

2(3x+4)−3(x−1)=x−1x

(2)(3x)+(2)(4)+(−3)(x)+(−3)(−1)=x+−1x(Distribute)

6x+8+−3x+3=x+−x

(6x+−3x)+(8+3)=(x+−x)(Combine Like Terms)

3x+11=0

3x+11=0

Step 2: Subtract 11 from both sides.

3x+11−11=0−11

3x=−11

Step 3: Divide both sides by 3.

3x3=−113

x=−113

Answer:

x=−113

Answer:

D

Step-by-step explanation:

A has -1 going to two different y values so it is not a function

B has x = -1 going to two different y values so it is not a function

C has the input of 3 going to two different y values so it is not a function

D each input goes to only 1 output so it is a function

Hey there! I believe the answer would be choice D. because it is the only choice that has one input for each output.

Hope this helps!

Have a wonderful day!

Answer:

Step-by-step explanation:

The number of sick birds grew by a factor of 4 each week.  In other words, the number of sick birds quadrupled each week.

Answer: Option 4 (Hexagon)

Step-by-step explanation:

A equilateral triangle, square and hexagon can be used to form a tessellation.

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Answer:

12 sq. units

Step-by-step explanation:

The formula for finding the area of a triangle is a = 1/2bh, or 1/2 times base times height.

To do this, multiply the base (6) and height lengths (4). This gets you 24.

But we're not done. You must then multiply by 1/2, which is the same a dividing by 2/1 or 2. 24/2 = 12. Slap on the unit of measurement and you've got your answer.

Answer:

606 shares

Step-by-step explanation:

Number of shares= (Total money spent)/(Each share price)

Number of share=(8307)/13.71=605.9≈606

Answer:

Step-by-step explanation:

Step-by-step explanation:

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Answer:

B

Step-by-step explanation:

Pardons for Confederate leaders

[tex]\\ \sf\longmapsto tan\Theta=\dfrac{P}{B}[/tex]

[tex]\\ \sf\longmapsto tan40=\dfrac{48}{x}[/tex]

[tex]\\ \sf\longmapsto 0.8=\dfrac{48}{x}[/tex]

[tex]\\ \sf\longmapsto 0.8x=48[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{48}{0.8}[/tex]

[tex]\\ \sf\longmapsto x=60[/tex]

Answer:

x = 57.2

Step-by-step explanation:

first : the third angle is (the sum of all angles in a triangle is always 180 degrees) : 180 - 90 - 40 = 50 degrees.

law of sines :

x/sin(50) = 48/sin(40)

x = 48 × (sin(50)/sin(40)) = 57.2

Answer:

A.) is my best guess

Step-by-step explanation:

Answer:

x=-7/2, x=4/3

Step-by-step explanation:

[tex]6x^2+13x-28=0[/tex]

Multiply 6 and -28 to get -168

Find 2 numbers that multiply to 168 but add to 13

They are 21 & -8

Rewrite the equation into:

[tex]6x^2+21x-8x-28=0[/tex]

Factor

[tex]3x(2x+7)-4(2x+7)=0[/tex]

(3x-4)(2x+7)=0

3x=4

x=4/3

2x=-7

x=-7/2

Answer:

Step-by-step explanation:

x = 52°

Answer:

yes there are more than one ways to find slope of a line.

Step-by-step explanation:

When both the points are given of same line we may use formula to find slope.

If equation of line is given we can convert it into slope intercept form and then we can find slope.

Step-by-step explanation:

the absolute value simply removes a negative sign, if there is one. if there is no negative sign, it leaves the argument untouched.

so, we need to calculate the argument first :

2b + 4 = 2×-8 + 4 = -16 + 4 = -12

|-12| = 12

that's it.

Answer:

The formula for area is length times width.

it's 8m long, and 6m wide. When we multiply it, we get 48m that is for one side of the cube, so we count how many sides there is. There's 6, so we multiply 6 times 48 and the complete surface area for the whole cube is 288m

Answer:

7+k=0

7-0=k

k=7

Step-by-step explanation:

7+k=0

7-0=k

k=0

Answer:

x = 127

Step-by-step explanation:

The angles are alternate exterior angles  and alternate exterior angles are equal when the lines are parallel

x = 127

Step-by-step explanation:

Y=

[tex]y = 10 - 8x \\ put \: this \: in \: the \: second \: equation \\ 2(10 - 8x) - 4x = 40 \\ 20 - 16x - 4x = 40 \\ 20 - 20x = 40 \\ - 20 = 20x \\ x = - 1 \\ put \: the \: value \: of \: x \: in \: th \: first \: equation \\ y = 10 - 8( - 1) \\ y = 10 + 8 \\ y = 18[/tex]

Hence, x=-1 and y=18

Answer:

(- 1, 18 )

Step-by-step explanation:

Given the equations

y + 8x = 10 ( subtract 8x from both sides )

y = 10 - 8x → (1)

2y - 4x = 40 → (2)

Substitute y = 10 - 8x into (2)

2(10 - 8x) - 4x = 40 ← distribute and simplify left side

20 - 16x - 4x = 40

20 - 20x = 40 ( subtract 20 from both sides )

- 20x = 20 ( divide both sides by - 20 )

x = - 1

Substitute x = - 1 into (1) for corresponding value of y

y = 10 - 8(- 1) = 10 + 8 = 18

solution is (- 1, 18 )

Answer:

inscribed polygon

congruent

hope that helped :)

Answer:

Below

Step-by-step explanation:

To find surface area, you can just find the area of each side and add them up!

11 ft x 9 ft x 2 = 198 ft^2 (this is the surface area of the front and back)

12 ft x 9 ft x 2 = 216 ft^2 (this is the surface area of the sides)

12 ft x 11 ft x 2 = 264 ft^2 (this is the surface area of the top and bottom)

Surface area = 198 + 216 + 264

                      = 678 ft^2

Hope this helps! Best of luck <3

Answer:

3744.64

Step-by-step explanation:

To know the answer to this question you need to know the formulas to find the volume of the cylinder and the rectangular prism. The volume of a cylinder is pi*r^2*h while the volume of the rectangular prism is l*w*h. The cylinder is 1808.64 cubic in while the rectangular prism is 1936 cubic. Together, they are 3744.64 cubic in.

Answer:

cylinder= A=πr²h

=3.14×4²×9

=452.16

rectangle=A=l×w×h

=19×11×11

=2299

total area=452.16+2299

=2751.16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

When the hypotenuse is given, you can use this formula to solve for the leg

b = root c^2 - a^2

b = root 20^2 - 12^2

b = 16 in

Hope this helps!

Answer:

90 degrees

Step-by-step explanation:

Two angles form a straight line which is 180 degrees.

The two angles are congruent ( or equal to each other )

Let x = measure of one of the angles.

180 = 2x

Divide both sides by 2

180/2 = 90

2x / 2 = x

x = 90

The measure of both angles are 90 degrees

Answer:

It’s 90

Step-by-step explanation:

Sorry I’m in a hurry right now sorry if I didn’t give you the explanation I’m running while typing this

Answer:

a. 2 and 8x + 12

Step-by-step explanation:

16x + 24

Factor out 2

2(8x+12)

Area is length times width

2 * (8x+12)

Answer: a. 2 and 8x + 12

Step-by-step explanation:

Area of a rectangle is length times width.

(2)(8x+12) = 16x + 24

Answer:

the slope is -1/4 throughout the line.

Step-by-step explanation:

the slope of a line never changes anywhere on the line. otherwise it would not be a line.

the slope is expressed by the ratio y/x indicating how many units y changes, when x changes by a certain number of units.

and in this graphic, when x changes 4 units to the right (positive), y changes 1 unit down (negative).

therefore -1/4

Answer:

3rd option

Step-by-step explanation:

The line has the same slope over the whole line

Calculate slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = O (0, 0) and (x₂, y₂ ) = B (- 12, 3)

m = [tex]\frac{3-0}{-12-0}[/tex] = [tex]\frac{3}{-12}[/tex] = - [tex]\frac{1}{4}[/tex]

The slope is - [tex]\frac{1}{4}[/tex] throughout the line

Answer:

Vertex (5, 1)

Example of second point (4, 2)

Step-by-step explanation:

THe equation given is in vertex form so it will be easy to find the vertex

(x-5)^2+1

Vertex is at h,k and vertex form is y = a(x−h)^2 + k

x coordinate will be 5

y coordinate will be 1

vertex - (5, 1)

You can plot a second point by plugging in any number into the x or y

For example, if you set x to be 4,

(4-5)^2+1

1^2+1

1+1=2

Answer: x = 150

Step-by-step explanation:

See the liner pair of angle 70 will be 110 degrees.

Then using angle sum property third angle will be

Third angle = 180 - 150

Third angle of the triangle = 30

Now linear pair of the 30 degree angle

30+x = 180

x = 180-30

x = 150

Therefore answer is option e x = 150.

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The measure of the value of angle x is 150°, and the correct option is E

Linear pair of angles are formed when two lines intersect each other at a single point.

The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.

BY applying linear pair angles;

[tex]\rm \angle 1+\angle 2=180\\\\70 +\angle 2=180\\\\ \angle 2=180-70\\\\ \angle 2=110\\\\[/tex]

The sum of the three angles is 180.

[tex]\rm \angle 1+\angle 2+ \angle 3=180\\\\ 110+40 +\angle 3=180\\\\150+\angle 3= 180\\\\\angle 3=180-130\\\\\angle 3=30[/tex]

The measure of the value of angle x is;

[tex]\rm 30+x = 180\\\\x = 180-30\\\\x = 150[/tex]

Hence, the measure of the value of angle x is 150°, and the correct option is E.

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Answer:

170

Step-by-step explanation:

17/7

Multiply the top and bottom by 10

17*10/ 7*10  =170/70

The fraction with the indicated denominator 70 is [tex]\frac{170}{70}[/tex].

The given fraction is[tex]\frac{17}{7}[/tex].

Convert the fraction with a denominator of 70.

To do this, multiply the numerator and denominator by 10:

[tex]\frac{17}{7} \times \frac{10}{10}[/tex]

[tex]=\frac{17 \times 10}{7 \times 10}[/tex]

[tex]=\frac{170}{70}[/tex]

Hence, the fraction with the indicated denominator 70 is [tex]\frac{170}{70}[/tex].

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