Which of the following statements are correct?

Answer:

4 2/3

Step-by-step explanation:

[tex]x^4x^{2/3}= \\\\x^{4+2/3}= \\\\x^{4 \ 2/3}[/tex]

Therefore, a= 4 2/3.

Hope this helps!

Answer:  C

Step-by-step explanation:

Translating  A'B'C' to A''B''C'' doesn't change the position of the vertices  and to make it smaller you have dilate the figure because that is the only way to change the size of a shape.  

.Reflecting the figure  changes the position of the vertices so A and D can't be an answer choice.

Answer:

x = 2

y = 1

Step-by-step explanation:

3x - y = 5..............(1)× 1

2x + y = 5...….......(2)× 1

3x - y = 5..............(3)

2x + y = 5.............(4)

Cancel y

3x + 2x = 5 + 5

5x = 10

Divide both sides by 5

x = 2

Substitute for the value of y

3x - y = 5

3(2) - y = 5

6 - y = 5

6 - 5 = y

1 = y

y = 1

Answer:

rational

Step-by-step explanation:

Answer:

Rational Number

Step-by-step explanation:

A repeating decimal added to a fraction will result in a rational number.

Answer:

 The quotient is x² + 6x +3

       Remainder  = -1      

 Step-by-step explanation:

Explanation:-

Given Polynomial equation

   f(x) = x³+5x²−9x−7

By using synthetic division

  x = 2           1       5       -9      -7

                      0       1       12     6

                  1      6         3     -1          

 The quotient is x² + 6x +3

       Remainder  = -1      

Answer:B

Step-by-step explanation:

Answer:

The real correct answer is C

Step-by-step explanation:

Hey there! :)

Answer:

(2, -2)

Step-by-step explanation:

-2x + y = -6

4x + 3y = 2

We can begin by setting the first equation equal to y:

-2x + y = -6

Add 2x to both sides:

y = 2x - 6

Plug this equation for y into the second equation:

4x + 3(2x - 6) = 2

Distribute:

4x + 6x - 18 = 2

Combine like terms:

10x = 20

x = 2

Plug the value of 'x' into an equation to solve for 'y':

-2(2) + y = -6

-4 + y = -6

y = -2

Therefore, the solution is (2, -2)

Answer:

6.59 and 3.41

Step-by-step explanation:

To evaluate, substitute n for each of the given values.

So when n= 3:

0.53n + 5 = 1.59 + 5 = 6.59

And when n = -3

0.53 n + 5 = -1.59+5=3.41

Hope this helps

Answer:

Step-by-step explanation:

there is no soltion because it is not intersects

Answer:

No solution as it will not intersect.

Answer:

= 12.56 m

Step-by-step explanation:

The circumference is found by

C = 2* pi *r

C = 2 * 3.14 * (2)

   = 12.56 m

Answer:

12.56 meters

Step-by-step explanation:

The circumference of a circle can be found using the following formula.

c= d* pi

We are given the radius. First, we must find the diameter. The diameter is twice the radius.

d=2*r

We know the radius is 2 meters. Therefore, we can substitute 2 in for r.

d=2*2

Multiply 2 and 2

d=4

The diameter is 4 meters.

Now we know the diameter, and can substitute 4 in for d in the circumference formula.

c= d* pi

d= 4 m

c= 4 m* pi

We also know we are using 3.14 for pi, so we can plug 3.14 in for pi.

c= 4 m * 3.14

c=12.56 m

The circumference of the circle is 12.56 meters.

Answer:

Step-by-step explanation:

|7-10|=3

absolute value of any number is always positive

Answer:

-3

Step-by-step explanation:

As the equation is written, you will be subtracting 10 from 7.

Subtract 10 from 7 and you will go past 0.

Your answer will be negative.

Answer:

(D) [tex]\dfrac{f(9)-f(2)}{9-2}[/tex]

Step-by-step explanation:

To determine the average rate of change in f(x) over the interval [a,b], we use the formula:

[tex]\text{Average rate of change}=\dfrac{f(b)-f(a)}{b-a}[/tex]

Therefore, given a function f(x), the average rate of change in f(x) over the interval [2,9] is given as:

[tex]\text{Average rate of change}=\dfrac{f(9)-f(2)}{9-2}[/tex]

The correct option is D,

Answer:

D

Step-by-step explanation:

Answer:

they are 2 lines that look ;like this =

Step-by-step explanation: the 2 lines of the equal sign are parallel

Answer:

B.

D.

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

From the question we are given the first term 8,second term 11 and we are to find the third term.

Using the formula:Tn=a+(n-1)d

Where a=first term=8

n=number of terms =3

d= difference between terms( second term -first term)=11-8=3

T3=8+(3-1)3

=8+2(3)

=8+6

The next term =14

They are Parallel, Intersecting, and perpendicular, if it's helpful let me know

hope it helps you tell me in the comment box

(•‿•)

Answer:

27°

Step-by-step explanation:

Angle ABC is 90°

ACB is 63 because it is vertically opposite angle GCJ

Angle CAB is 27° (90-63)

angle x is 27° (vertically opposite CAB)

Answer:

Step-by-step explanation:

A) These are the squares of another number or we can say the prime numbers

B) THE NEXT NUMBER IN THE SEQUENCE IS 9 BECAUSE ALL THESE ARE SQUARES OF 8 7 6 5 4 AND THE LAST ONE WILL BE 9

Answer:

m∠1 = 90°

m∠2 = 55°

Step-by-step explanation:

1. m∠1 = 90° because by definition, the diagonals of a rhombus are perpendicular, or intersect at 90°.

2. Because of vertical angles, the angle opposite of ∠1 is also 90°. A triangle has a total of 180°.

m∠2 + 90 + 35 = 180

90 + 35 = 125

m∠2 + 125 = 180

subtract 125 from both sides to solve for m∠2

m∠2 = 55°

Answer:

It is E and F

Step-by-step explanation:

A quadratic equation is written in the form of ax²+bx+c. The two values of x that are the roots of the polynomial are E and F.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The roots of the quadratic equation are found as shown below,

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

If the given equation x²-11x+17 is compared with the general quadratic equation ax²+bx+c, then the value of a, b, and c is 1, -11, and 17, respectively.

The roots of the given polynomial x²-11x+17=0 can be found as shown below. Therefore, The roots of the polynomial are,

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\x = \dfrac{-(-11) \pm \sqrt{(-11)^2 - 4(1)(17)}}{2(1)}\\\\x = \dfrac{11 \pm \sqrt{121 - 68}}{2}\\\\x = \dfrac{11 \pm \sqrt{53}}{2}[/tex]

x= (11 + √53)/2 , (11 - √53)/2

Hence, the two values of x that are the roots of the polynomial are E and F.

Learn more about Quadratic Equations:

https://brainly.com/question/2263981

#SPJ5

Answer: 50%

Step-by-step explanation:

I'm converting 7kg to grams to make it easier. So £10 = 7000g

£1 = 7000÷10 = 700g

700g÷2 = 350g and if you follow the ratios on top, she payed 50p per 350g

She sells a bag of 350g for 75p.

Percentage profit=[tex]\frac{Change in cost}{original cost}[/tex] × 100

75p - 50p = 25p = change in cost

Percentage profit= [tex]\frac{25}{50}[/tex] × 100

= 50%

Answer: y=3

Step-by-step explanation:

6-y+3  

-3    -3

6-3=3 and 3-3 is 0

so the answey is y=3

hope this Helps :)

Answer:

x^2 +2x -5

Step-by-step explanation:

f(x) = 2x+3

g(x) = x^2 -8

f(x)+g(x) =  2x+3+ x^2 -8

Combine like terms

             = x^2 +2x -5

Answer:

3 3/4

Step-by-step explanation:

1 5/12 2 1/3

First, we must convert the fractions to have the same denominator.

We can turn 2 1/3 is equal to 2 4/12.

1 5/12 + 2 4/12 = 3 9/12

Now we simplify.

3 9/12 = 3 3/4

Answer:

Sorry your mouse is blocking the fx equation. Is it x squared? I can't help you if I can't see what the equation is I'm sorry

Step-by-step explanation:

Answer:

I think it is D

Step-by-step explanation:

Its saying that f of x is four times x. So if x was one it could be four. But if x was greater than one it would be higher than one. Therefore, I think that the answer should be all real numbers greater than or equal to four.

Hope this helped!!! Let me know if I was correct. Haven't done this in years.

Answer:

d

Step-by-step explanation:

Answer:  x=3.537715

Step-by-step explanation:

5x+3=300

5x+3+−3= 300+ −3

5x=297

Step 2: Solve Exponent.

5x=297

x=3.537715

Hope this helps :)

Answer:

X = 0

Step-by-step explanation: