S
T
R
U
What does R represent?
A. a line segment
B. a point
O c. a line
D. a ray

Your graph would be correct if the given equation was |x| = 5

This is because |x| describes the distance x is from zero, and asking |x| = 5 means we want to find which values are 5 units away from zero: those two values being 5 and -5.

--------------

However, your teacher gave you instead |x| = -5. The distance cannot be negative, so |x| is never negative. Therefore, |x| = -5 has no solutions

The graph will simply be an empty number line with no points plotted on it.

Answer:

The third option is the correct option

Answer:

0.0233

Step-by-step explanation:

We are told that 40% of students prefer to use pencils over pens for their assignments.

This means 40 out of 100 students prefer to use pencils over pens.

Thus, for the first draw, P(pencil over pens for first draw) = 40/100

Since person using pencil over pens is selected without replacement, then, we now have a sample space of 99;

Second draw; P(pencil over pens for 2nd draw) = 39/99

Similarly, for third draw; P(pencil over pens for 3rd draw) = 38/98

For fourth draw; P(pencil over pens for 4th draw) = 37/97

Thus;

probability that you randomly select four students and all four prefer to use pencils over pens is;

P(all four prefer pencils over pens) = (40/100) × (39/99) × (38/98) × (37/97) = 0.0233

Answer:

12 cm

Step-by-step explanation:

The area of a square is given by

A = s^2

144 = s^2

Taking the square root of each side

sqrt(144) = sqrt(s^2)

12 =s

Answer:

The length of one side of square is 12 cm.

Step by step explanation

Finding the length of one side of square

Using formula,

Area of square = ( side)²

substitute the value

144 cm² = side²

Taking square root of both side.

√144 cm ² = √side²

12 cm = side

Hence,

The length of one side of square is 12 cm.

Answer:

[tex]\dfrac{15}{2}[/tex]

Step-by-step explanation:

The average speed of the Erin is 120/16 mph

Here,

Numerator = 120

Denominator = 16

mph = miles per hour

We need to find an expression expressed as a decimal.

So,

[tex]\dfrac{120}{16}=\dfrac{2\times 3\times 2\times 2\times 5}{2\times 2\times 2\times 2}\\\\=\dfrac{15}{2}[/tex]

So, the final answer is [tex]\dfrac{15}{2}[/tex].

Answer:

y = -3/4x

Step-by-step explanation:

The answer is A.

Step-by-step explanation:

Domain = all possible values of x

From the graph, we can tell that x can be any value as the graph goes on forever.

Hence Df = {x: x <== All real numbers}

Step-by-step explanation:

f(x)=4x+5

f(-3)=-12+5=-7

Answer:

-7

Step-by-step explanation:

f(x) = 4x + 5

write - 3 inplace of x

f(-3) = 4*-3 + 5

=-12 + 5

=-7

Algebra

The answer to this problem is to simply simplify it.

[tex] \frac{1}{2} n + 3 < 5[/tex]

Subtract three from both sides.

[tex] \frac{1}{2} n < 2[/tex]

Multiply both sides by two.

[tex]n < 4[/tex]

Meaning, n is anything below four.

Answer:

1/2 or 50%

Step-by-step explanation:

good

Answer:

Step-by-step explanation:

This is a composite function, f(g(x)). This means, working from the inside function to the outside, we will take the function g and plug it in for x in the f function. g(x) = 2x + 4. We will plug that into f(x) and evaluate f(2x+4):

[tex]f(g(x))=(2x+4)^2+2(2x+4)-5[/tex] and I imagine your teacher has you simplify completely. We FOIL and distribute to get

[tex]f(g(x))=4x^2+16x+16+4x+8-5[/tex] which, by combining like terms, give us

[tex]f(g(x))=4x^2+20x+19[/tex]

Answer:

None

Step-by-step explanation:

The square root of something can not be negative, and -8 is negative.

Answer:

113.1

Step-by-step explanation:

Solution

A=

4

π

r

2

=

4

π

3

2

≈

113.09734

It is an irrational number.

Answer:

Thus, it is possible to erect a pole at a point p on the boundary of the park at distances 5m and 12m respectively from gates B and A.

Step-by-step explanation:

Let P be the required location of pole .

A and B are the two gates.

Let the distance of pole at p from gate be 'x' meters

i.e. PB = x m

•°• AP = (x + 7)m and AB = 13 m

•°• AP² + BP² = AB² => (x +7)² + x =13²

Rejecting x =-12, we get x = 5

•°• PB = 5m

and

AP = 12m

(I hope this helped :)

Answer:

456

Step-by-step explanation:...

Answer

V (-15,5)

S (-9,2)

T(-14,2)

U (-20,5)

your welcome:)

Answer:

Converted into Decimal Form : 0.47727272727

Step-by-step explanation:

To convert a fraction to a decimal you take the numerator (the number in the top of the fraction) and divide that by the denominator (the number in the bottom of the fraction.)

21 ÷ 44 = 0.47727272727

This is how you convert a fraction to a decimal. When you convert a decimal to a fraction it gets a little more complicated. Another way you could change a fraction could be by simplifying. Simplifying is when you make the fraction look more simple by decreasing the values of the numerator and denominator, dividing by the same number on both the top and bottom. If you are confused and want more detail, please comment down below.

Answer:

0.477272727........

Because 21÷44= 0.477272727..........

Step-by-step explanation:

porportional means they scale by the same ratio

L / W = L_1 / W_2 = 5.4 / 2.5 = 6.21 / x

solve for x

Answer:

Not sure but heres the proportional factor.

Step-by-step explanation:

The image is blurry and is hard to make out what the number for width is. However you can find the proportionality factor between the phones by dividing the large phone height by the small phone height. So 6.21in/5.4in, you get 1.15in, this means that the larger phone is 1.15in bigger than the smaller phone. Apply this number to the width and you will find the width of the larger phone since both phones are proportional. So you do width × 1.15 to get the width of the larger phone.

Answer:

[tex] { \tt{x + y + 2 = 0}} \\ y = - x - 2 \\ \\ { \tt{x + y - 2 = 0}} \\ y = - x + 2 \\ \\ { \tt{x - y - 2 = 0}} \\ - y = - x + 2 \\ y = x - 2[/tex]

Answer:

C. y=1/4x+4

Step-buy-step explanation:

y = -4x + 9

slope = m = -4

slope of perpendicular lines: m1 + m2 = -1

so the new slope will be 1/4

then use slope point equation again it does not matter which point you use

y - y1 = m ( x - x1 )

y - 5 = 1/4 ( x - 4)

y = 1/4x -1 +5

y = 1/4x +4

Answer: I’m sorry I need points for my test

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Angle in a triangle add up to 180

since this is an isosceles triangle two angles are the same

180-(47+47)=86

Opposite angles are equal

Angles around a point add up to 360

360-(86+86)=188

188/2=94

94 degrees

C

Answer:

94

Step-by-step explanation:

Answer:

6x²-19x-36

Step-by-step explanation:

im pretty sure this is correct

Answer:

72

Step-by-step explanation:

If x = 4 in 6(x+8) then the new expression is 6(4+8):

6*4&6*8

24+48

72

Answer:

   2/3

Step-by-step explanation:

Pick two points on the line

(-2,0) (1,2)

Using the slope formula

m = (y2-y1)/(x2-x1)

   = ( 2-0)/(1--2)

     (2-0)/(1+2)

   2/3

Answer:

slope = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (1, 2) ← 2 points on the line

m = [tex]\frac{2-0}{1-(-2)}[/tex] = [tex]\frac{2}{1+2}[/tex] = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

10x6s=60

100 divided by 60

=5/3 m/s  OR  1.6666666666666666666 m/s

Answer:

1) Using properties of the quadratic equation:

Here the height equation is:

h(t) = -16t^2 + 32t + 6

We can see that the leading coefficient is negative, this means that the arms of the graph will open downwards.

Then, the vertex of the quadratic equation will be the maximum.

Remember that for a general quadratic equation:

a*x^2 + b*x + c = y

the x-value of the vertex is:

x = -b/2a

Then in our case, the vertex is at:

t = -32/(2*-16) = 1

The maximum height will be the height equation evaluated in this time:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

2) Second method, using physics.

We know that an object reaches its maximum height when the velocity is equal to zero (the velocity equal to zero means that, at this point, the object stops going upwards).

If the height equation is:

h(t) = -16*t^2 + 32*t + 6

the velocity equation is the first derivation of h(t)

Remember that for a function f(x) = a*x^n

we have that:

df(x)/dx = n*a*x^(n-1)

Then:

v(t) = dh(t)/dt = 2*(-16)*t + 32 + 0

v(t) = -32*t + 32

Now we need to find the value of t such that the velocity is equal to zero:

v(t) = 0 = -32*t + 32

       32*t = 32

            t = 32/32 = 1

So the maximum height is at t = 1

(same as before)

Now we just need to evaluate the height equation in t = 1:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft