Eight more than four times a certain number is
equal to 12 less than eight times the number. What
is the number?

Answer:

20:27

Step-by-step explanation:

Answer:

[tex]x=\pm \sqrt{3}[/tex]

Step-by-step explanation:

Consider the given polynomial is

[tex]P(x)=x^2-3[/tex]

We need to find the zeros of the given polynomial.

Now,

[tex]P(x)=0[/tex]

[tex]x^2-3=0[/tex]

Add 3 on both sides.

[tex]x^2=3[/tex]

Taking square root on both sides.

[tex]x=\pm \sqrt{3}[/tex]

Therefore, zeros of the polynomial P(x) are [tex]-\sqrt{3} \text{ and }\sqrt{3}[/tex].

To verify the relationship, put [tex]x=\sqrt{3}[/tex] in P(x).

[tex]P(\sqrt{3})=(\sqrt{3})^2-3=3-3=0[/tex]

Put [tex]x=-\sqrt{3}[/tex] in P(x).

[tex]P(-\sqrt{3})=(-\sqrt{3})^2-3=3-3=0[/tex]

Since P(x)=0 for both values, therefore relationship verified.

Answer:

0.07%

Step-by-step explanation:

This equation is solving for what percentage of 100 kg is 0.07 kg.

1. Set up the equation

[tex]\frac{0.07}{100}[/tex] = [tex]\frac{x}{100}[/tex]

0.07 kg out of 100 kg is equal to x out of 100 because x represents the percentage and percentages are out of 100.

2. Solve by cross multiplying

100x = 7

3. Solve for x by dividing both sides by 100

x = 0.07

The answer is 0.07%

Answer:

this difference indicates that the results are independent but not reliable.

Answer:

102.88 m

Step-by-step explanation:

Pythagorean Theorem:

a²+b²=c²

48²+91²=c²

2304+8281=10585

c²=10585

Square both sides

c= 102.88

How far the players ran:

102.88 m

Answer

A or B

Step-by-step explanation:

the lowest is 1/7 = 5/35 = 10/70

the highest is 1/5 = 7/35 = 14/70

so answer A and B are OK

C and D are out of range

Answer:

x can take any value and are viable in this situation if and only if it is a positive number

Step-by-step explanation:

We know that the area of a rectangle is given by:

A = x * y

So if we replace we have:

12 ≤ x * y ≤ 36

We divide by y, and we have:

12 / y ≤ x ≤ 36 / y

Which means that the value of x depends on y, that is to say if y is worth 1, the inequality would be:

 12 ≤ x ≤ 36

In the event that y is equal to 2:

 12/2 ≤ x ≤ 36/2

 6 ≤ x ≤ 18

Which means, that depending on y, x can take any value and are viable in this situation if and only if it is a positive number.

The image of the function is missing, you can see it at the end of the answer.

For a rectangle of length L and width W, the area is given by:

A = L*W

We will find that the solution is: 3/2 ≤ x ≤ 11/2

Here we have:

L = 3

W = 2x + 1

Then the area equation is:

A = 3*(2x + 1) = 6x + 3

And we also have the inequality:

12 ≤ A ≤ 36

Replacing A with the equation we get:

12 ≤ 6x + 3 ≤ 36

Now we solve this for x:

12 - 3 ≤ 6x ≤ 36 - 3

9  ≤ 6x  ≤ 33

Now we divide both sides by 6.

9/6 ≤ x ≤ 33/6

3/2 ≤ x ≤ 11/2

If you want to learn more, you can read:

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Answer:

x=70

z=20

y=30

Step-by-step explanation:

first find x: the sum of straight angle is 180

x+110=180

x=180-110=70

now find z: the sum of the angles of triangle is 180:

x=70, right angle=90

z+70+90=180

find y:

y+110+40=180

y=180-150=30

z=180-160=20

Answer:

x=70 degrees, y= 30 degrees, z=20 degrees

Step-by-step explanation:

110+x=180 => straight angle def.

180-110+40=y => def. of angles in triangle

x( 70 degrees) +90+z=180, z= 20 => angles in triangle

Answer:

No solution

Step-by-step explanation:

If you graph this system of equations, they do not intersect in any way and therefore there is no solution.

Answer:

Step-by-step explanation:

Feel pleasure to help u..

Answer:

A. 1,885 cm³

Step-by-step explanation:

[tex]V=\pi r^{2} \frac{h}{3}[/tex]

[tex]\pi 15^{2} \frac{8}{3}[/tex]

15²=225

[tex]\frac{8}{3} =2.67[/tex]

3.14 x 225 = 706.5

706.5 x 2.67 = 1884.96

Answer:

a). 3a² + 17a - 1

b). 4y (7y-6)

Step-by-step explanation:

in the second question, we find a number that can divide 28 and 24 without a remainder, which is 4

Hey there! :)

Answer:

SA = 144 cm².

Step-by-step explanation:

Find the surface area by calculating the areas of each of the lateral sides and bases:

In this instance, the bases are triangles, so the formula A = 1/2(bh) will be used:

Bases:

A = 1/2(bh)

A = 1/2(4·3)

A = 1/2(12)

A = 6 cm².

There are two bases, so:

6 × 2 = 12 cm²

Find the areas of the lateral sides using A = l × w:

5 × 11 = 55 cm²

4 × 11 = 44 cm²

3 × 11 = 33 cm²

Add up all of the areas:

12 + 55 + 44 + 33 = 144 cm².

Answer:

144 cm^2

Step-by-step explanation:

So, first find the area of the triangle. To find that you need to use the formula A = bh ÷ 2 (Area = base x height ÷ 2)

A = (4)(3) ÷ 2

A of triangle = 6

Since there are 2 triangles, you need to multiply the area by 2, which equals 12.

To find the area of the rectangles, you need to use the formula A = lw (Area = length x width)

For the first rectangle,

A = 11 x 5

A = 55

For the second rectangle,

A = 4 x 11

A = 44

For the third rectangle,

A = 3 x 11

A = 33

Now, you need to add the areas of the triangles and rectangles together to get your surface area.

12 + 55 + 44 + 33 = 144cm^2

So, the surface area of the triangular prism is 144 cm^2.

Answer:

Step-by-step explanation:

Given the expression  (x-5) and (x-4)

The product of the two factors can be expressed as follows

[tex]= (x-5) (x-4)\\=x(x-4)-5(x-5)\\[/tex]

Opening brackets we have

[tex]=x^2-4x-5x+25[/tex]

Collecting like terms we have

[tex]=x^2-9x+25[/tex]

Answer:

1) Formula for experimental probability:

Experimental Probability = [tex]\frac{No.OfFavourableOutcomes}{No.OfPossibleOutcomes}[/tex]

2) Any performance or a random experiment is called a trial.

Answer: The Y intercept is 2

Step-by-step explanation: Your Y axis is where the line crosses the graph vertically, or going up and down. If you see, your line crosses vertically at 2. Your X intercept is -2.

Answer:

m=3, n=5

Step-by-step explanation:

(3+√5)² = (3+√5)(3+√5) =

3² + 3√5 + 3√5 + √5·√5 = 9 + 6√5 + 5 = 14+6√5

Answer:

Hi!

The x-axis is the line that goes horizontal (from left to right) and the y-axis is the line that goes vertical (up and down). Intercepts are points that meet or intersect the axis. The x-intercept is (-40,0). The y-intercept is (0,15).

Hope this helps!

xx gloriouspurpose xx

Answer: (2,5)

Step-by-step explanation:

To find the x coordinate of the vertex, you will set  x-2=0 and solve for x

x-2=0

 +2  +2

x = 2  

Now since we know the vertex has an x coordinate of 2 we have to solve for y by plotting in the x value.

y= 1/2(2-2)^2 + 5

y = 0 +5

y =5

(2,5)

Answer:

Hello!

____________________

5+(−4)= 1

Step-by-step explanation: Simplify the expression.

Hope this helped you!

Answer:

5+(-4)=1

Step-by-step explanation:

Answer:

22m

Step-by-step explanation:

The computation is shown below:

Since it is a right-triangular garden so we use the pythagoreus theorem

As we know that

The C^2 refers to the longest side of the right-triangular garden

So,

a^2 + b^2 = c^2

a^2 + 14^2 = 26^2

a^2 + 196 = 676

a^2 = 480

So a = 22m

Hence, the other side of the garden is 22m

Using Sine rule,

[tex] \frac{\sin 96 \degree}{48}=\frac{\sin Z}{10}\\

\implies \sin Z=\frac{5\sin (96\degree)}{24}\\

\implies Z \approx 12\degree[/tex]

Answer:

About 24 months

Step-by-step explanation:

1000-20= 980

980/40= 24.5

Answer: about 24 months

Step-by-step explanation:

First subtract 20 from 1000 and then divide the awnser by 40

1000-20= 980

1000/ 40= 24.5

Answer:

162°

Step-by-step explanation:

This is a hexagon, so the sum of the angle measures will be 720°

Add up the measures

40x=720

Divide

X=18

Multiply by 9 to find angle of D

9*18=162

The measure of the interior angle at vertex D is 162°. Hence, option B. is the right choice.

Polygons are closed plane figures formed by the intersection of 3 or more non-collinear line segments.

The sum of interior angles of an n side polygon = (n-2)180°.

We are given a 6 side polygon ABCDEF.

∴ n = 2.

The sum of interior angles of polygon ABCDEF = (6-2)180° = 4*180° = 720°.

The angles are 2x, 9x, 2x, 9x, 9x, and 9x.

Their sum = 2x + 9x + 2x + 9x + 9x + 9x = 40x.

This sum = The obtained sum

or, 40x = 720°

or, x = 720°/40 = 18°.

∴ Interior angle at vertex D = 9x = 9*18° = 162°. Hence, option B. is the right choice.

Learn more about Polygons at

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Answer:

A

Step-by-step explanation:

When multiplying numbers with exponents, the exponents add together.  This means that the correct answer is letter A.

Answer:

Step-by-step explanation:

2/3(6y + 9)

2/3(6y) = 4y

2/3(9) = 6

=4y + 6 (A)

Answer:

David is 12 years old.

Step-by-step explanation:

Let r = Rebecca's age

Let d = David's age

let p = Dad's age

David is 3 times as younger than his dad:

d = [tex]\frac{p}{3}[/tex]

David is 2 times older than Rebecca:

d = 2r

Rebecca is 30 years younger than the dad:

r = p-30

All three equations can be solved by a system

2r = [tex]\frac{p}{3}[/tex]

r = p-30

multiplying r = p-30 by negative 2 and adding it to 2r = [tex]\frac{p}{3}[/tex]

0 = (-2p + p/3) + 60

multiplying new equation by 3

0 = (-6p + p) + 180

5p = 180

p = 36

d = 36/3 = 12

Answer:

0.79

Step-by-step explanation:

This value is the most opposite of the value above R, meaning that there is an association between the variables.

Answer:

.79

Step-by-step explanation:

Bc y not