please solve this problem


if f(x) = 2x ^ 2 - x + 1 , g(x) = x ^ 2 + 3x - 3 and f(x) = g(x) , then find the possible value of x.​

Answer:

x = 10

Step-by-step explanation:

7(x+1+7)=6(x+5+6)

or, 7(x+8)=6(x+11)

or, 7x+56=6x+66

or, 7x-6x=66-56

or, x=10

Answered by GAUTHMATH

Answer:

Step-by-step explanation:

It's given in the question,

[tex]2^x=3^y=12^z[/tex]

[tex]2^x=12^z[/tex]

[tex]\text{log}2^x}=\text{log}12^z}[/tex]

[tex]x\text{log2}=z\text{log12}[/tex]

[tex]x=\frac{z\text{log}12}{\text{log2}}[/tex]

[tex]3^y=12^z[/tex]

[tex]\text{log}3^y}=\text{log}12^z}[/tex]

[tex]y\text{log}3}=z\text{log}12}[/tex]

[tex]y=\frac{z\text{log12}}{\text{log}3}[/tex]

Now substitute the values in the equation,

[tex]\frac{1}{y}+\frac{2}{y} =\frac{1}{\frac{z\text{log12}}{\text{log}3}}+\frac{2}{\frac{z\text{log}12}{\text{log2}}}[/tex]

         [tex]=\frac{\text{log}3}{z\text{log}12}+\frac{2\text{log}2}{z\text{log}12}[/tex]                    

         [tex]=\frac{\text{log}3+\text{log}2^2}{z\text{log}12}[/tex]

         [tex]=\frac{\text{log}(3\times 2^2)}{z\text{log}12}[/tex]

         [tex]=\frac{\text{log}(12)}{z\text{log}12}[/tex]

         [tex]=\frac{1}{z}[/tex]

Hence proved.

Answer:

A= 75°

Step-by-step explanation:

SinA = opposite÷hypoteneous

A = Sin^-1(32÷33). (inverse sin = sin^-1)

A = 75.85

A= 75°

Note: To calculate we use scientific calculater.

Angle A in triangle ABC is approximately 76 degrees. So, correct option is A.

In a right triangle, the side opposite the right angle is called the hypotenuse, and the other two sides are called the legs. Let's consider triangle ABC, where angle B is the right angle, AC is the hypotenuse, and BC is one of the legs.

We are given that AC = 33 and BC = 32. To find angle A, we can use trigonometric ratios. In this case, we can use the sine function.

The sine of angle A is defined as the ratio of the length of the side opposite angle A (BC) to the length of the hypotenuse (AC):

sin(A) = BC / AC

Substituting the given values, we have:

sin(A) = 32 / 33

Using the inverse sine function (sin⁻¹), we can find the value of angle A:

A = sin⁻¹(32 / 33)

Using a calculator, we find that angle A is approximately 75.85 degrees. Rounding off to the nearest angle we get 76 degrees.

Therefore, angle A in triangle ABC is approximately 76 degrees. So, correct option is A.

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Answer:

8,1,-6

Step-by-step explanation:

8 + (-7)

= 8-7 = 1

1 + (-7) = 1 - 7 = -6

The first three terms are 8, 1,-6

Answered by Gauthmath

Answer:

pnj hnu n

126

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Answer: Use employee identification numbers to randomly select 200 employees

Step-by-step explanation:

Random sampling refers to a sampling technique whereby each sample has an equal chance of being selected. It is an unbiased representation of the entire population and this is vital in drawing conclusion.

From the options given, the best way to randomly choose these 200 employees will be to use employee identification numbers to randomly select 200 employees.

Answer:

(x-6)^2+(y-14)^2=4

Step-by-step explanation:

Option A

We can prove this by a example

Take a pythagorean triplet 3, 4, 5

Now 5 is the hypotenuse

Area 1 = 3^2

= 9

Area 2 = 4^2

=16

Area 3 = 5^2

=25

So 9 + 16 = 5

25 = 25

Therefore its option A

Answered by Gauthmath must click thanks and mark brainliest

The correct relation between these rectangle is (Area of 1) + (Area of 2) = (Area of 3)

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

From the general formula of the area of the square,

Area of 1 = (side of 1st)²

Area of 2 = (side of 2nd)²

Area of 3 = (side of 3rd)²

From the Pythagorean theorem in the given triangle,

(side of 2nd)²+(side of 1st)² = (side of 3rd)²

Thus,

(Area of 1) + (Area of 2) = (Area of 3)

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Answer: a constant is a fixed number in an expression. For example x+5=9. The constants are 5 and 9 since it’s a fixed number. Since it says x is a constant it means it can only be one answer.

Answer:

Step-by-step explanation:

The reference angle is given as 63 degrees. The sides in question, x and 1, are adjacent to and opposite of this angle, respectively. The trig ratio that utilizes the sides adjacent to and opposite of angles is the tangent ratio; namely:

[tex]tan(63)=\frac{1}{x}[/tex] and rearrange algebraically to get

[tex]x=\frac{1}{tan(63)}[/tex] to get

x = .5

Answer: Option 4

CE/DE

Explanation:

Sin = Opposite/Hypotenuse

In triangle DCE the opposite ( angle D ) is CE and the hypotenuse is DE

so sinD = CE/DE

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Answer:

D and B

Step-by-step explanation:

2) (59.6)/180 * pi=1.04

The fractional amount of banana Mrs. Vacarro's toddler ate is 2/5.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Mrs. Vacarro sliced a banana into 5 pieces.

Number of slices she gave to her toddler = 4/5

Number of slices left after her toddler had finished eating = 2/5

Thus number of slices toddler ate,

⇒ [tex]\frac{4}{5} -\frac{2}{5}[/tex]

⇒ [tex]\frac{4-2}{5}[/tex]

⇒ [tex]\frac{2}{5}[/tex]

Hence we can conclude that the fractional amount of banana Mrs. Vacarro's toddler ate is 2/5.

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Answer:

m=4

Step-by-step explanation:

m = y2 - y1/x2 - x1

(y2=8, y1=0, x2= 2, x1=0)

m = y2 -y1/x2 - x1

= 8 - 0/2 - 0

= 8/2

=4

Answer:

0

Step-by-step explanation:

r=5

So

=5⁴-5(5)³-4(5)²+5(5)+75

=5⁴-5(125)-4(25)+5(5)+75

=625-625-100+25+75

=0

Step-by-step explanation:

I do hope that you understand through the steps in the attachment, if not kindly reach out!

Step-by-step explanation:

> 2n³+4²+6n-6n-21

2n³+4n²-21

> -4n²-3n-8+2n+18

-4n²-3n-8+2n+18

-4n²-n-8+18

-4n²-n+10

Answer:

Step-by-step explanation:

english only please

Answer:

Step-by-step explanation:

bearing is the angle which a line makes with the north.

Answer: 17/60

Step-by-step explanation:

Change all of the fractions to have a common denominator:

LCM of 10, 12, 15 is 60

You get 12/60, 25/60, and 54/60.

54/60 is what he had at the start, and so you can just subtract what he gave away

54/60-12/60=42/60

42/60-25/60=17/60

17 is a prime number so you cannot simplify the fraction

Answer:

17/60

Step-by-step explanation:

First we find the LCM of 10, 12, and 5, which is 60.

He started with 54/60.

He gave away 12/60, leaving 42/60.

He gave away another 25/60, leaving 17/60.

He had 17/60 of a pizza left over.

Answer:

answer for number a is 3/2

answer for number b is 6

answer for number c is 8

Answer:

40,65,75,40,105,35

Step-by-step explanation:

All the x variables form a straight line so

[tex]x + x+ 25 + x + 35 = 180[/tex]

[tex]3x + 60 = 180[/tex]

[tex]3x = 120[/tex]

[tex]x = 40[/tex]

Angle P is vertical to Angle X so

Angle P is equal to Angle X so

[tex]p = 40[/tex]

3q and q is supplementary to both Anlge P and X so this means they must equal 140.

[tex]3q + q = 140[/tex]

[tex]4q = 140[/tex]

[tex]q = 35[/tex]

Answer:

Step-by-step explanation:

x + y = −3

y = 2x + 2

Substitute the y value of the second equation into the top equation

x + 2x + 2 = - 3

3x + 2 = - 3

3x = -3 -2

3x = - 5

x = -5/3

x + y = - 3

-5/3 + y = - 3

y = -3 + 5/3

y = -1 1/3

Step-by-step explanation:

Maybe

(m²)(-3)

-3m²

hope it helps

Answer:

I don't know what inductive reasoning is but, the next two numbers in the pattern are -243 and +729

Step-by-step explanation:

each number is being multiplied by a factor of (-3).

Given:

Consider the below figure attached with this question.

To find:

The interpretation for x-intercept in this context.

Solution:

In the given graph x-axis represents the second since sending print job and y-axis represents the Pages printed.

At x-axis the y-coordinate is 0. It means the x-axis represents the number of seconds that passed before the printer started printing pages.

Therefore, the correct option is C.

Answer:

B. The number of seconds that passed before the printer started printing pages

Step-by-step explanation:

Answer:

[tex]\frac{\sqrt{3}}{6} a^{3}[/tex] và [tex]\frac{a^{3} }{6}[/tex]

Step-by-step explanation:

Câu 1: V = 1/3.2a.[tex]\frac{\sqrt{3}}{4}[/tex][tex]a^{2}[/tex] = [tex]\frac{\sqrt{3}}{6} a^{3}[/tex]

câu 2: Theo đề bài ta có SA là chiều cao và tam giác đáy SBC vuông tại S (hình chóp S.ABC đổi thành chóp A.SBC)

=> V = 1/3 SA.(diện tích tam giác SBC) = 1/3a.[tex]\frac{a^{2} }{2}[/tex] = [tex]\frac{a^{3} }{6}[/tex]

Answer:

-5x = 26 is 5.2

x/2 = 4 is -8

3/2x=6 is 4

x/-7.2=4 is 28.8

Answer:

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

(g•h)(x) = 2(x²+4)

(g•h)(3)=2(3²+4)

=2(9+4)

=2(13)

=26

Answer:

72/8=9 im not sure which it is asking for

Step-by-step explanation:

we know that Jenny has 72 stickers with 8 stickers on each page. so therefore the the 72 stickers have been divided by 8 to fit onto 9 pages.

Answer:

9 pages of stickers

Step-by-step explanation:

72 / 8 = 9 pages of stickers