Drag each equation to show if it could be a correct first step to solving the equation 3(6+x)=24 .

Answer:

B.

D.

Step-by-step explanation:

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:

Area of ΔXYZ = 35.499 cm²

Step-by-step explanation:

From the figure attached,

In triangle XOY,

Sin38° = [tex]\frac{\text{OX}}{\text{XY}}[/tex]

OX = (XY)Sin38°

OX = (9.3)Sin38°

      = 5.7257 cm

Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                             = [tex]\frac{1}{2}(\text{YZ})(\text{OX})[/tex]

                             = [tex]\frac{1}{2}(12.4)(5.7257)[/tex]

                             = 35.499 square cm

Therefore, area of the given triangle XYZ = 35.499 cm².

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

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Answer:

-1/3

Step-by-step explanation:

The negative sign can be moved:  2/-6 => -2/6 => -1/3

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: 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:

= 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:

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: 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%

Step-by-step explanation:

Graphing Linear Inequalities

This is a graph of a linear inequality:

linear inequality y <= x +2

The inequality y ≤ x + 2

You can see the y = x + 2 line, and the shaded area is where y is less than or equal to x + 2

Linear Inequality

A Linear Inequality is like a Linear Equation (such as y = 2x+1) ...

... but it will have an Inequality like <, >, ≤, or ≥ instead of an =.

How to Graph a Linear Inequality

First, graph the "equals" line, then shade in the correct area.

There are three steps:

Rearrange the equation so "y" is on the left and everything else on the right.

Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

Shade above the line for a "greater than" (y> or y≥)

or below the line for a "less than" (y< or y≤).

Let us try some examples:

Example: y≤2x-1

1. The inequality already has "y" on the left and everything else on the right, so no need to rearrange

2. Plot y=2x-1 (as a solid line because y≤ includes equal to)

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:

(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:

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:

X = 0

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

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.

hope it helps you tell me in the comment box

(•‿•)

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

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:

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:

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:

 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:  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:

they are 2 lines that look ;like this =

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

11111111111111111111

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:

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