Find the value of x

Answer:

A

Step-by-step explanation:

[tex]\sqrt{(x+4)^2} = 2\\(x+4)^2 = 4\\[/tex]

x + 4 = ± 2

x = -2

x = -6

Given:

The function is:

[tex]f(x)=x^2[/tex]

This function is stretched by a factor of 9 to g(x).

To find:

The equation of function function g(x).

Solution:

The vertical stretch is defined as:

[tex]g(x)=kf(x)[/tex]           ...(i)

If [tex]0<k<1[/tex], then the function f(x) compressed vertically by factor k.

If [tex]k>1[/tex], then the function f(x) stretched vertically by factor k.

The given function f(x) is stretched by a factor of 9 to g(x).  So the value of k is 9.

Substituting [tex]k=9[/tex] in (i), we get

[tex]g(x)=9f(x)[/tex]

[tex]g(x)=9x^2[/tex]            [tex][\because f(x)=x^2][/tex]

Therefore, the required function is [tex]g(x)=9x^2[/tex].

Answer:

[tex]\sqrt{(y2-y1)^{2} +(x2-x1)^{2} }[/tex]

[tex]\sqrt{9+36}[/tex]

[tex]\sqrt{45}[/tex]

Step-by-step explanation:

Answer:

[tex]Apple \to 4[/tex]

[tex]Banana \to 4[/tex]

[tex]Cherry \to 5[/tex]

Step-by-step explanation:

Given

[tex]A \to Apple[/tex]

[tex]B \to Banana[/tex]

[tex]C \to Cherry[/tex]

From the rows, the equation is:

[tex]B + 2A =12[/tex] --- (1)

[tex]2B + C = 13[/tex] --- (2)

[tex]A + 2C = 14[/tex] --- (3)

Make A the subject in: [tex]A + 2C = 14[/tex]

[tex]A = 14 -2C[/tex]

Substitute [tex]A = 14 -2C[/tex] in [tex]B + 2A =12[/tex]

[tex]B + 2(14 - 2C ) = 12[/tex]

[tex]B + 28 - 4C = 12[/tex]

Make B the subject

[tex]B = 4C - 28 +12[/tex]

[tex]B = 4C -16[/tex]

Substitute [tex]B = 4C -16[/tex] in [tex]2B + C = 13[/tex]

[tex]2(4C - 16) + C = 13[/tex]

[tex]8C - 32 + C = 13[/tex]

Collect like terms

[tex]8C + C = 13+32[/tex]

[tex]9C = 45[/tex]

Divide by 9

[tex]C = 5[/tex]

Recall that:

[tex]B = 4C -16[/tex]

[tex]B =4*5-16[/tex]

[tex]B =20-16[/tex]

[tex]B =4[/tex]

Recall that:

[tex]A = 14 -2C[/tex]

[tex]A= 14 -2*5[/tex]

[tex]A= 14 -10[/tex]

[tex]A =4[/tex]

Hence:

[tex]Apple \to 4[/tex]

[tex]Banana \to 4[/tex]

[tex]Cherry \to 5[/tex]

Answer:hbwufvj6y

Step-by-step explanation:

Answer:

2:3

16:24

400:600

Step-by-step explanation:

divide 2 and you get 2:3

multiply 4 and get 16:24

multiply 100 and get 400:600

Answer:

tax is 11.50 tax and price is 147

Step-by-step explanation:

you would do 135.50 times 8.25% to find the tax which is estimated to $11.50 if you wanted to find the tax and the price you do $135.50 plus $11.50 which is $147

Answer:

27 -c

Step-by-step explanation:

less than means it comes after

27 -c

Answer:

27 - c

Step-by-step explanation:

If something is less by a number then it is that number minus whatever it is less by, thus 27 - c.

Answer: C.536.2

Step-by-step explanation:

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Length of each side of the square (s) = 8 cm

Area of the square (a) = ?

[tex]a = s {}^{2} \\ a = 8 {}^{2} \\ a = 8 \times 8 \\ a = 64 \: \: cm {}^{2} [/tex]

✐ Area of the square is 64 square centimetres.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

B. NO

Step-by-step explanation:

Figure B can only be a scale copy of Figure A if the ratio of their corresponding side lengths are equal.

Let's find out:

9/3 = 3

7.3/2.2 ≈ 3.3

Thus:

9/3 ≠ 7.3/2.2

Since the ratio of their corresponding side lengths are not equal, therefore Figure B is not a scale copy of Figure A.

The answer is NO.

Answer:

28.3 cm

Step-by-step explanation:

The formula to find the circumference is 2•π•radius. The diameter is 9 cm, so the radius is 9/2 = 4.5 cm. So, the circumference is:

2•4.5•3.14 = 28.26 ≈ 28.3 cm

Answer: 12x^ 3 + 22x^ 2 +26x + 9

Answer:

P(10) = 26237[1 + 0.024]^10

Step-by-step explanation:

From the information given :

Initial population, P0 = 26, 237

Annual growth rate, r = 2.4%

Number of Years, n = 10

The general exponential growth relation is give as :

P(x) = P0(1 + r)^n

Where ;

P(x) = population after x years

P0 = Initial population

r = growth rate

n = number of years

P(10) = 26237[1 + 0.024]^10

Answer:

Option A , should not be rejected

Step-by-step explanation:

From the question we are told that:

Sample 1 [tex]n=25[/tex]

Standard deviation 1 [tex]\sigma_1=30[/tex]

Sample 2 [tex]n=16[/tex]

Standard deviation 2 [tex]\sigma_2=20[/tex]

Level of  confidence [tex]\alpha=95\%=>0.95[/tex]

Generally The Hypothesis are given as

 [tex]H_0:\sigma_1^2=\sigma_1^2[/tex]

 [tex]H_1:\sigma_1^2\neq \sigma_1^2[/tex]

Generally the equation for test Statistics is mathematically given by

 [tex]T=\frac{\sigma_1^2}{\sigma_2^2}[/tex]

 [tex]T=\frac{30^2}{20^2}[/tex]

 [tex]T=2.25[/tex]

Therefore

Critical Value

 [tex]X=(\alpha,df_1)[/tex]

 [tex]X'=(\alpha,df_2)[/tex]

Where

 [tex]df=n-1[/tex]

Therefore

 [tex]X=(0.95,24)[/tex]

 [tex]X'=(0.95,15)[/tex]

From Table

 [tex]T_{Critical}=T_x,T_{x'}[/tex]

 [tex]T_{Critical}=0.41,2.701[/tex]

Therefore

 [tex]T_x<T<T_{x'}[/tex]

Hence,We fail to reject the Null Hypothesis [tex]H_0[/tex]

Option A , should not be rejected

Answer:

x = 4

x = 3

x = 10

x = 3

x = 16

x = 35

Step-by-step explanation:

[tex]\frac{x}{5} :\frac{8}{10}[/tex]

x · 10 = 5 · 8

10x = 40

10x ÷ 10 = 40 ÷ 10

x = 4

[tex]\frac{8}{12} :\frac{2}{x}[/tex]

x · 8 = 12 · 2

8x = 24

8x ÷ 8 = 24 ÷ 8

x = 3

[tex]\frac{15}{3} :\frac{x}{2}[/tex]

x · 3 = 15 · 2

3x = 30

3x ÷ 3 = 30 ÷ 3

x = 10

[tex]\frac{x}{6}:\frac{6}{12}[/tex]

x · 12 = 6 · 6

12x = 36

12x ÷ 12 = 36 ÷ 12

x = 3

[tex]\frac{x}{8} :\frac{4}{2}[/tex]

x · 2 = 8 · 4

2x = 32

2x ÷ 2 = 32 ÷ 2

x = 16

[tex]\frac{10}{2} :\frac{x}{7}[/tex]

x · 2 = 10 · 7

2x = 70

2x ÷ 2 = 70 ÷ 2

x = 35

Answer:

2:17 am

Step-by-step explanation:

3 hours after 10:46 would be 1:46

1:46 plus 31 minutes is 1:77 but there are only 60 minutes in an hour so 1:77 is 17 minutes after 2:00, or 2:17 am

Answer:

h(2x)=2x^0

therefore ans.1

Answer:

3

Step-by-step explanation:

The absolute value of a number is that number's distance from 0.

Therefore, |-3| = 3.

Answer:

the absolute value is the non-negative value of a real number without regard for its sign. so the absoulute value of -3  is 3 you just change the negative sign to a positive.

Step-by-step explanation:

3 is the answer

Answer:

-9 Degrees is warmer because that number is bigger than -12.

Step-by-step explanation:

Answer:

-9 is warmer

Step-by-step explanation:

Since this negative we want to get closer to zero to be warmer

-12 means you owe 12

-9 means you owe 9

The more you owe means  is further away from zero

-12 < -9 <0

Answer:

-104/41

Step-by-step explanation:

f(8) = -13

g(8) = 41/8

f/g(8) = -13/1 / 41/8 = -(13×8) / (41×1) = -104 / 41

f/g(x) = (3-2x) / (1/x + 5) = (3-2x)/1 / ((1+5x)/x) =

= x×(3-2x) / (1+5x) = (3x - 2x²) / (1 + 5x)

for x=8 this gives the same result.

Answer:

y-15=3x balakaksnzujsbhzbskndh

Answer:

x = - 6 , y = - 3

Step-by-step explanation:

y - 15 = 3x  => y = 3x + 15 ------- ( 1 )

-2x + 5y = - 3 --------- ( 2 )

Substitute ( 1 ) in ( 2 ) :

-2x + 5 ( 3x + 15) = - 3

-2x + 15x + 75 = - 3

 13x = - 3 - 75

 13x = - 78

   x = - 6

Substitute x in ( 1 ) :

         y = 3x + 15

            = 3 ( - 6 ) + 15

            = - 18 + 15

          y  = - 3

Answer:

2nd option

y > 6 and y < 2

Step-by-step explanation:

as the value of y can not be greater than 6 and less than 2 at the same time, the 2 inequalities have no common solutions

theefore no solution

A nurse read the incorrect unit of measurement and gave a patient 100 mg of the tablet.

The patient at risk and she should inform the doctor immediately.

Unitary method is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Given

Prescription requires 10 mg of tablet.

A nurse read the incorrect unit of measurement and gave a patient .1 g of the tablet.

We know

1 g = 1000 mg

0.1 g = [tex]x[/tex]

⇒ [tex]x[/tex] × 1 = 0.1 × 1000

⇒ [tex]x[/tex] = 100 mg

10 mg < 100 mg

By using unitary method we can say that

A nurse read the incorrect unit of measurement and gave a patient 100 mg of the tablet.

The patient at risk and she should inform the doctor immediately.

Learn more about unitary method here

https://brainly.com/question/22056199

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9514 1404 393

Answer:

  34.6 ft

Step-by-step explanation:

The distance can be found using the Pythagorean theorem. Where a, b, c are the sides of a right triangle with c as the hypotenuse, it tells you ...

  a² + b² = c²

  a = √(c² -b²)

  base-to-string = √(39² -18²) = √1197 ≈ 34.598

The distance from the base of the pole to the end of the string is about 34.6 feet.

Answer:

DC

Step-by-step explanation:

It has through multiply points, and angular turns, causing it to not be a straight line.

If my answer is incorrect, pls correct me!

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-Chetan K