Can you use mechanical pencils on the PSAT?

X would be 10, and 2 because:

(10-10) = 0 and (2-2) = 0

The extraneous solution is correct because the equation does not hold true when x is 2 and only hold trues when it is 10.

Edit: the extraneous solution is 2 is because it doesn't hold true to the equation.

Answer:

Equation of Parallel Line:  y = -7x - 44

Equation of Perpendicular Line:  y = x/7 - 8/7

Step-by-step explanation:

1) Parallel

Substitute (-6, -2) to find C

-2 = -7(-6) + c

-2 = 42 + c

-2 - 42 = c

c = -44

y = -7x -44

2) Perpendicular

Negative reciprocal

Substitute (-6, -2) to find C

-2 = 1/7(-6) + c

-2 = -6/7 + c

-2 + 6/7 = c

c = -8/7

y = 1/7x - 8/7 or

y = x/7 - 8/7

Answer:

0.05/min or plus 0.25 every 5 minutes

Step-by-step explanation:

To find the unit rate divide 0.25 by 5:

0.25 ÷ 5= 0.05

OR

After every 5 minutes, Eric has traveled 0.25 miles.

Hope this helps!

Answer:

Step-by-step explanation:

an (the nth term ) = a1 + d(n - 1)

=  6 + 3(n - 1).

a17 = 6 + 3(17-1)

= 6 + 48

= 54.

Answer:

2

Step-by-step explanation:

F(3) means that we plug in 3 for the x value of the original equation, and F(4) means that we plug in 4 for the x value of the original equation

F(3) = -2(3) + 3

= -3

F(4) = -2(4) + 3

= -5

- 3 -(-5) = 2

Answer:

2

Step-by-step explanation:

Step 1: Solve for f(3)

Step 2: Solve for f(4)

Step 3: Subtract f(4) from f(3).

Therefore, the answer is 2.

Answer:

line L1 and line L2 passes L2.

The x-coordinate of the point where L2 meets the x-axis is (1, 4).

The equation of the straight line has its slope and given point.

The equation of the line L2, we will use the point-slope equation of a line expressed as y-y₀ = m(x-x₀)

m is the slope of the unknown line (x₀, y₀) is the given point.

First is to get the slope of the known line:

The standard equation of the line

y = mx+c, it can be seen that m = 2

Then we will calculate the slope of the required line.

Since L1 is perpendicular to L2, the product of their slope will be -1 so,

mm₁ = -1 where m₁ is the slope of the required line L2.

Given m =2

m₁ = -1/m

m₁ = -1/2

Now we will calculate the equation of line L2 by substituting the slope of line L2 and the point in the point slope equation above;

y-y₀ = m(x-x₀)

Given (x₀, y₀) = (2, 1) and m₁ = -1/2

y-2 = -1/2(x-1)

open the parenthesis;

y-2 = -x/2+1/2

multiply through by 2:

2y-4 = -x+1

2y+x = 1+4

2y+x = 5

Hence, the equation of the line L2 is 2y+x = 5

Therefore, the x-coordinate of the point where L2 meets the x-axis is (1, 4).

Learn more about slope here:

https://brainly.com/question/2503591

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Answer:

$1559.40

Step-by-step explanation:

1. Find the perimeter of the garden

[tex]14\frac{2}{3} + 14\frac{2}{3} + 10\frac{1}{3} + 10\frac{1}{3} = 50 yd[/tex]

2. Convert to feet

1 yd = 3ft

50 x 3 = 150

50 yd = 150 ft

3. Divide by 2.5 to find out how many sections are needed

150/2.5 = 60 sections

4.  Multiply by 25.99

60 x 25.99 = 1559.4

It will cost $1559.40

The graph of g(x) and f(x) are related by the given equation g(x) = f(x) + 12,

therefore, the ordered pair of the graph of g(x) is (f(x) + 12, x).

The choice that correctly describes how the graph of g(x) compares with f(x)

is the option; H. The graph of g(x) is translated unit(s) up compared to graph

of f(x).

Reasons:

The given function is f(x) = 5·x - 4

The function g(x) = f(x) + 12

Required:

To select the correct choice from the given options

Solution:

The difference between f(x) and the required function, g(x), is the addition

of a constant positive value of 12 to the function f(x).

Therefore, each f(x) output value is further increased by 12 to obtain the

graph of g(x), which gives;

The graph of g(x) is translated 12 units up compared to the graph of f(x),

which corresponds with the option H.

Learn more here:

https://brainly.com/question/15938361

Answer:

...

Step-by-step explanation:

Answer:

Step-by-step explanation:

A) ∠1 =  ∠2   {Alternate angles are equal}

6x + y - 4 = x - 9y  + 1

6x + y      = x - 9y + 1 + 4

6x + y      = x - 9y + 5

6x - x  + y + 9y = 5

  5x  + 10y = 5

Divide the entire equation by 5

  x  + 2y = 1 -------------(I)

∠2 + ∠3 = 180       {Linear pair}

x - 9y + 1 + 11x + 2 = 180

x + 11x - 9y   = 180 - 2 - 1

          12x - 9y = 177

Divide the whole equation by 3

       4x - 3y  = 59    -------------(II)

B) Multiply equation (I) by 3 and multiply equation (II) by 2. Thus y will be eliminated and we can find the value of x.

(I)* 3           3x + 6y = 3

(II)*2           8x - 6y =  118    {Now add}

                  11x        = 121

                            x = 121/11

x = 11

Plugin x = 11 in equation (I)

                            11 + 2y = 1

                                  2y = 1 -11

                                  2y = -10

                                   y = -10/2

y = -5

C) ∠1 = 6x + y - 4

         = 6*11  - 5 - 4

          = 66 - 5 - 4

           = 57

∠2  = x - 9y + 1

        = 11 -9*(-5) + 1

         = 11 + 45 + 1

          = 57

∠3 = 11x + 2

      = 11*11 + 2

      = 121 + 2

      = 123

1.d

2.d

hope it helps

...............

Answer:

Although it is a short-lived perennial, tomato plants can bear fruit for more than one year in parts of the world that never dip below 65 degrees Fahrenheit. If you have a greenhouse and can keep it heated during the cold months, consider placing an experimental beefsteak, plum or grape tomato plant among your tropical flowers.

Step-by-step explanation:

[tex] \red{\large\underline{\sf{Solution-i}}}[/tex]

Given that,

[tex] \rm \longmapsto\: p(x) = {x}^{4} - {x}^{3} - {x}^{2} - x - 2[/tex]

and

[tex]\rm \longmapsto\:g(x) = x - 2[/tex]

We know,

Factor theorem states that if g(x) = x - a is a factor of polynomial f(x), then remainder f(a) = 0.

So, using Factor theorem, Consider

[tex]\rm \longmapsto\:p(2)[/tex]

[tex]\rm \:  =  \: {2}^{4} - {2}^{3} - {2}^{2} - 2 - 2[/tex]

[tex]\rm \:  =  \: 16 - 8 - 4 - 4[/tex]

[tex]\rm \:  =  \: 16 - (8 + 4 + 4)[/tex]

[tex]\rm \:  =  \: 16 - 16[/tex]

[tex]\rm \:  =  \: 0[/tex]

[tex]\rm\implies \:p(2) \: = \: 0[/tex]

So,

[tex]\bf\implies \:g(x) \: is \: factor \: of \: p(x)[/tex]

[tex] \red{\large\underline{\sf{Solution-ii}}}[/tex]

[tex]\rm \longmapsto\: p(x) = 2{x}^{3} + {x}^{2} - 2x + 1[/tex]

and

[tex]\rm :\longmapsto\: g(x) = x + 1[/tex]

Now, By using Factor Theorem, Consider

[tex]\rm \longmapsto\:p( - 1)[/tex]

[tex]\rm \:  =  \: 2 {( - 1)}^{3} + {( - 1)}^{2} - 2( - 1) + 1[/tex]

[tex]\rm \:  =  \: - 2 + 1 + 2 + 1[/tex]

[tex]\rm \:  =  \: 2[/tex]

[tex]\rm\implies \:p( - 1) \: \ne \: 0[/tex]

So,

[tex]\bf\implies \:g(x) \: is \: not \: a\: factor \: of \: p(x)[/tex]

Answer:

B. 31.4

Step-by-step explanation:

To find x, the hypotenuse, we need to use sin because we have been given the opposite (the side opposite the angle 35°) and we need to work out the hypotenuse (the longest or slanted side):

SOH, CAH, TOA

sin(θ) = opposite ÷ hypotenuse

Sub in the values (we don't know the hypotenuse so i've called it x):

sin(35) = 18 ÷ x (multiply both sides by x)

x × sin(35) = 18 (divide both sides by sin(35))

x = 18 ÷ sin(35) = 31.38204...

x ≈ 31.4

Hope this helps!

Answer:

look at the photo....................

Answer:

-7/5

Step-by-step explanation:

(-3 - 4) / (2 - -3) = -7/5

Answer:

8.) Rational

10.) Irrational

Step-by-step explanation:

8.) This is rational because although it is a decimal, it is terminating, meaning it has an end.

10.) This is irrational because it is a repeating decimal with seemingly no pattern.

Answer:

x > 7

Step-by-step explanation:

Answer: The answer is A

Step-by-step explanation: 100% Right Hope This Helps

Answer:

Step-by-step explanation:

a=e= 90 b/c it is square

b= 45, it half of square

c base in rule of sin or cos, tan.

d=2,85

Answer:

3

Step-by-step explanation:

[tex]\sqrt{133225} =365[/tex]

Answer:

365

Step-by-step explanation:

√133225 = 365

(365 × 365 = 133225)

Hope this helps!

Answer:

c is the answer for this hope it helps

Answer:

Step-by-step explanation:

The first two options don't make sense as absolute value is always positive.

The third option requires the answer to be within one interval but our answer is the combination of two intervals.

Let's verify if the last option is correct:

So this option is matching the graph

Answer:

4^3 x 5^2

Step-by-step explanation:

Index notation just makes the numbers being multiplied by themselves easier to read.

Answer:

4³×5²

Step-by-step explanation:

chill bro it's basic

Answer:

The value of g(x) at x=-3 is -42

That is g(-3)=-42

Step-by-step explanation:

Given that the function g is defined by

To find the value of g(-3) :

That is to find the value of g(x) at x=-3 :

Put x=-3 in the above function we get

Therefore g(-3)=-42

The value of g(x) at x=-3 is -42

That is g(-3)=-42

Answer:

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

Step-by-step explanation:

slope = 2/3

point-slope form --> y - y1 = m(x - x1)

y - 3 = 2/3(x - -2)

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

point slope form of the line is y - 3 = 2/3(x + 2)

Answer:

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

Answer:

B

Step-by-step explanation:

1000mm=1m

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Answer:

$200

Step-by-step explanation:

Change 15% into decimal notation, that will give you 0.15

Divide $30 by 0.15

$30/0.15 = $200

Therefore, his paycheck was $200