The table shows ordered pairs of the function y = 16 + 0.5x .

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 1, x, 10. The second column is labeled y with entries 14, 15, 16, 16.5, y, 21.
Which ordered pair could be the missing values represented by (x, y)?

(0, 18)
(5, 19.5)
(8, 20)
(10, 21.5)

Answer:

0.2666666667

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

9x^2 - 16

Comparing this with the standard form

ax^2 + bx + c

ac = 9*-16 = -144

b = 0

-12 and 12 multiply to get ac and add to get b.

Factored form is

(3x - 4)(3x + 4).

The value of ac is,

⇒ - 144

The value of b is,

⇒ b = 0

And, The factored form is,

⇒ (3x - 4) (3x + 4)

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The quadratic equation is,

⇒ 9x² - 16

Now, We know that;

General form of quadratic equation is,

⇒ ax² + bx + c

Here, The quadratic equation is,

⇒ 9x² - 16

Hence, By comparing,

⇒ a = 9

⇒ b = 0

⇒ c = - 16

Thus, The value of ac is,

⇒ ac = 9 × - 16

        = - 144

And, The factored form is,

⇒ 9x² - 16

⇒ (3x)² - 4²

⇒ (3x - 4) (3x + 4)

Thus, The value of ac is,

⇒ - 144

The value of b is,

⇒ b = 0

And, The factored form is,

⇒ (3x - 4) (3x + 4)

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Answer:

see below

Step-by-step explanation:

x² = 30

x = ±√30 (take the square root of both sides)

The value of X in the equation is:

√30 or 5.48

An algebraic equation is when two expressions are set equal to each other, and at least one variable is included.

If X to the second power equals 30 can be written as:

X² = 30

To find the value of X, take the square root of both sides of the equation. That is:

√X² = √30

X = √30

X = 5.48

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Answer:

$4

Step-by-step explanation:

Since for each of the 125 tickets there is an equal chance of winning the 500 dollars, for each ticket there is an expected payoff of 500/125=4 dollars. Hope this helps!

Answer:

[tex]\angle PRQ = 50^\circ[/tex]

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

We are given the following details:

[tex]\angle RPQ =99^\circ[/tex]

[tex]\angle PQR =31^\circ\\\text{Side QR} = 11\ units[/tex]

To find:

[tex]\angle PRQ =?\\Side\ PR = ?\\Side\ PQ = ?[/tex]

We know that the sum of all the angles of a triangle is equal to [tex]180^\circ[/tex]

i.e.

[tex]\angle PQR +\angle PRQ +\angle RPQ =180^\circ\\\Rightarrow 31^\circ +\angle PRQ +99^\circ =180^\circ\\\Rightarrow \angle PRQ = 180-130\\\Rightarrow \angle PRQ = 50^\circ[/tex]

To find the sides, we can use Sine rule:

As per Sine rule:

[tex]\dfrac{a}{sin A} =\dfrac{b}{sin B} =\dfrac{c}{sin C}[/tex]

Where a, b and c are the sides opposite to [tex]\angle A,\angle B,\angle C[/tex] respectively.

Using Sine rule in given triangle:

[tex]\dfrac{11}{sin 99} =\dfrac{b}{sin 31} =\dfrac{c}{sin 50}\\\\\text{Solving }\dfrac{11}{sin 99} =\dfrac{b}{sin 31} \\\Rightarrow b = \dfrac{11}{sin 99} \times sin31\\\Rightarrow b =5.74\ units\\\\\text{Now, Solving }\dfrac{11}{sin 99} =\dfrac{c}{sin 50} \\\Rightarrow c = \dfrac{11}{sin 99} \times sin50\\\Rightarrow c =8.53\ units[/tex]

So, sides are

PR = 5.74 units and

PQ = 8.53 units

Answer:

Answer:

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

We are given the following details:

To find:

We know that the sum of all the angles of a triangle is equal to

i.e.

To find the sides, we can use Sine rule:

As per Sine rule:

Where a, b and c are the sides opposite to  respectively.

Using Sine rule in given triangle:

So, sides are

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

Answer:

Since the figures are congruent, their areas must also be congruent so the answer is 28.

Answer:

C) -b > 0

Step-by-step explanation:

as per the graph

a<b<c and a<0, b<0

A) a>b

B) -b < -c

C) - b> 0

Answer:

Candle B: 36 minutes

Candle C: 12 minutes

Step-by-step explanation:

Since Candle A burns for 72, and Candle B burns twice as fast, we can divide the 72 by 2 in order to get the time it burns. We will then see that Candle B burns for 36 minutes.

Candle C burns 3 times as fast as candle B so we can divide the 36 minutes it takes for candle B to burn by 3 to get how long it takes Candle C to burn. We then see that it takes 12 minutes for candle C to burn.

Hope this helps!

Answer:

5.8 is what I think it is. I also got 4.6 on another calculator.

Step-by-step explanation:

I did it on math-way.

Answer:

The circumference of circle is 101 units.

Step-by-step explanation:

Given that the diameter of circle is 32 units so you have to find radius by dividing it by 2 :

[tex]radius = diameter \div 2[/tex]

[tex]radius = 32 \div 2[/tex]

[tex]radius = 16 \: units[/tex]

Next, we have to apply circumference formula, C = 2×π×r where r represents radius which is 16 units :

[tex]c = 2 \times \pi \times r[/tex]

Let π = 22/7,

Let r = 16,

[tex]c = 2 \times \frac{22}{7} \times 16[/tex]

[tex]c = 32 \times \frac{22}{7} [/tex]

[tex]c = \frac{704}{7} [/tex]

[tex]c = 101 \: units \: (3s.f)[/tex]

__________________________________

Hey!!

Solution,

Diameter=32

Radius=32/2=16

Circumference of circle=?

Now,

Circumference of circle=2 pi r

=2*22/7*16

=100.57

hope it helps...

Good luck on your assignment

_________________________________

Answer:

150=2x5x5x3, or 150=2x5^2x3

Step-by-step explanation:

150=50x3

50=5x10

10=2x5

150=2x5x5x3

Answer:

Step-by-step explanation:

Surface area of sphere = 125 sq.ft

4πr² = 125

4*3.14*r² = 125

[tex]\sqrt{x} r^{2}=\frac{125}{4*3.14}\\\\r^{2}=9.95\\\\r=\sqrt{9.95}\\\\[/tex]

r = 3.15 ft

Answer:

631 feet

Step-by-step explanation:

125 square feet = 4 • pi • radius sqaured. Dividing the surface area by 4 and pi, and then taking the square root of that result, gives the correct radius of 3.155 feet. Doubling the radius gives the correct diameter of 6.31 feet.

Answer:

I don't have an answer but I have a helpful example.

If a number is increased by 8, the result is 25 Find the number.

Step-by-step explanation:

Let x be the number.  Increasing x by 8 gives x + 8, which we are told is 25.  Therefore, x + 8 = 25.  Subtract 8 from both sides to find x = 17.  So, the number is 17.

Answer:

  the SSS similarity theorem

Step-by-step explanation:

The triangles are not indicated as being right triangles (even though we know they are), so we cannot use the HL theorem.

The ratios of corresponding sides are the same, so the applicable theorem is ...

  the SSS similarity theorem

__

3/(3+6) = 4/(4+8) = 5/15 = 1/3 . . . the ratio of shorter sides to corresponding longer sides.

_____

Additional comment

You recognize the smaller triangle as a 3-4-5 right triangle, and notice that the larger triangle is 3 times that size. If angle C were marked as the right angle it is, then the HL similarity theorem could also be used.

Answer:

Length of side AB = 5.6 cm

Step-by-step explanation:

From the figure attached.

In right triangle ABC,

m∠ABC = 62°

m(BC) = 12 cm

By applying Cosine rule in this triangle,

Cos62° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

Cos62°= [tex]\frac{AB}{BC}[/tex]

0.46947 = [tex]\frac{AB}{12}[/tex]

AB = 12 × 0.46947

AB = 5.63

     ≈ 5.6 cm  

Therefore, length of side AB = 5.6 cm

Length of side AB = 5.6 cm.

Since In right triangle ABC,

m∠ABC = 62°

m(BC) = 12 cm

Here we used the cosine rule

So, it is

[tex]Cos 62 = AB\div BC\\\\0.46974 = AB\div 12[/tex]

So, AB = 5.6 cm

hence, Length of side AB = 5.6 cm.

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Answer:

The length of AC is 2.33 units.

Step-by-step explanation:

You have to use Tangent Rule, tanθ = opposite/adjacent :

[tex] \tan(θ) = \frac{oppo.}{adj.} [/tex]

Let oppo. = AC,

Let adj. = BC = 5,

Let θ = 25°,

[tex] \tan(25) = \frac{ac}{5} [/tex]

[tex]ac = 5 \tan(25) [/tex]

[tex]ac = 2.33 \: units \: (near.hundredth)[/tex]

Answer:

Brainliest goes to me!

Step-by-step explanation:

367.5

50(1.05)7

50 x 1.05 x 7 = 367.5

or

50 x 1.05^7 = 70.3550211328125

Answer:

[tex]70.36[/tex]

Step-by-step explanation:

[tex]50(1+0.05)^7[/tex]

[tex]50 \times (1.05)^7[/tex]

[tex]=70.355021[/tex]

[tex]the \: right \: answer \: is \: of \: option \: d \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:  24

Step-by-step explanation:

You have 4 balloons to choose from.  

Once you have chosen a balloon, there are 3 remaining to choose from.  When you choose another balloon, there are only 2 remaining.

First pick   and    Second pick    and   Third pick

     4           x        3 remaining      x       2 remaining      =  24

Answer:

-8y = 6

Step-by-step explanation:

-6x+4y = -8

6x -12y = 14

Add the equations

-6x+4y = -8

6x -12y = 14

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

0x -8y = 6

Answer:

Negative 8 y = 6

Step-by-step explanation:

6x + 4y = - 8.... (1)

6x -12y = 14....... (2)

Adding (1) & (2)

- 6x + 4y = - 8

6x - 12y = 14

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

0x -8y = 6

= - 8y = 6

Hope this helps!

Answer:

$2000

Step-by-step explanation:

3,000,000/1500=$2000

Answer:

shorter base = 6 yd

longer base = 8 yd

area of playground = 42 yd^2

Step-by-step explanation:

The question tells you that the shorter side is equal to the width, which is 6 yds. The bases of the triangles on either side are 1 yd. Since there are two, add 1 twice to 6 (6+1+1). This gives you 8 yd for the longer base. You're right about the area, just use the trapezoid area formula: 1/2h(a+b).

Answer: x= -2

Step-by-step explanation: use pemdas

10x + 8 = 3(x - 2) distribuite parenthesis

10x + 8 = 3x - 6

10x + 8 = 3x - 6 add like terms

7x +8= -6 add like terms

7x= -14 divide to get x alone

x= -2

Answer:

x = - 2

Step-by-step explanation:

10x + 8 =3(x-2)

10x + 8 =3x - 6

10x - 3x = - 6 - 8

7x = - 14

7x/7 = -14/7

x = - 2

Answer:

perfect square number

Step-by-step explanation:

When simplifying square root expressions, look for any perfect square
that can be pulled out of the radical.

Given that,

When simplifying square root expressions, look for any ___________ that can be pulled out of the radical. blank space to be filled.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
When simplifying the square root we see the number that is perfect squares, because only a perfect square can be pulled out from the square root.

Thus, When simplifying square root expressions, look for any perfect square that can be pulled out of the radical.

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Answer:

-9

Step-by-step explanation:

for linear equations, the show off the line is the coefficient of x.

in this case, the slope would be -9

hi

if you mean   :   1/6 =    ... / 6   it's 3  as 3/6 = 1/2

Answer:

-a book

-a flash card

-the american flag

-post-it

-pencil case

-calculator

-phone

-dollar bill

-tv

-ruler

Step-by-step explanation:

________________________________

Hey!!

Ten examples of rectangles that I observed in my daily life are as follows:

________________________________

Answer:

2^2x3x5

Step-by-step explanation: