Finding Angles (Level 1)
Delta Math
#highschool

The quadratic equation which matches given solution is x² + 3x + 3 = 0. Then the correct option is C.

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

We know that the formula

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

The solutions are given below.

[tex]\rm x = \dfrac{-3 \pm \sqrt3 \iota }{2}[/tex]

Then

1)  2x² + 6x + 9 = 0, the zeroes of the equation will be

[tex]\rm x = \dfrac{-6\pm 6\iota}{4}\\\\x = \dfrac{-3\pm 3 \iota}{2}[/tex]

2)  x² + 3x + 12 = 0, the zeroes of the equation will be

[tex]\rm x = \dfrac{-3\pm \sqrt{39}\iota}{2}[/tex]

3)  x² + 3x + 3 = 0, the zeroes of the equation will be

[tex]\rm x = \dfrac{-3\pm \sqrt3\iota}{2}[/tex]

4)  2x² + 6x + 3 = 0, the zeroes of the equation will be

[tex]\rm x = \dfrac{-6\pm 2\sqrt{3}}{4}\\\\x = \dfrac{-3\pm \sqrt3 }{2}[/tex]

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

The numbers which should be placed in the boxes from left to right, when Juanita factor the expression, is 6 and 3 respectively.

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

Juanita begins to factor an expression as shown.

[tex]x^2+ 3x-18=(x+ \;\;)(x-\;\;)[/tex]

To find the value of blank, we have to factor the left-hand side expression using the split the middle term method as,

[tex]x^2+ 3x-18\\x^2+ 6x-3x-18\\x(x+6)-3(x+6)\\(x+6)(x-3)[/tex]

Hence, the numbers which should be placed in the boxes from left to right, when Juanita factor the expression is 6 and 3 respectively.

Learn more about factor of polynomial here;

https://brainly.com/question/24380382

Answer:

D. Neither A not B is true.

Step-by-step explanation:

The solutions of the equations are none among the given answers..So, it's neither a not b.

You have marked the right option:D

Hope it helps:)

The decimal equivalent of 7 half’s is the number in decimal form

The exact decimal equivalent of 7 half’s is 3.5

A decimal number is a number represented by an integer and a fractional part

The number is given as:

7 halves

Express as product

7 * 1/2

Evaluate the product

3.5

Hence, the exact decimal equivalent of 7 half’s is 3.5

Read more about decimals at:

https://brainly.com/question/1827193

Answer:

Domain:  { x ∈ R | x ≠ -2, 3 }

Step-by-step explanation:

[tex]f(x)=\dfrac{(x+2)(x-1)}{(x-3)(x+2)}[/tex]

The domain (x-values) of a rational function is all real numbers of x with the exception of those for which the denominator is 0.   Therefore, to find the values of x that need to be excluded from the domain, equate the denominator to zero and solve for x.

The denominator for the given function is [tex](x - 3)(x + 2)[/tex]

[tex]\implies (x - 3)(x + 2)=0[/tex]

[tex]\implies (x - 3)=0\implies x=3[/tex]

[tex]\implies (x + 2)=0 \implies x=-2[/tex]

There will be a hole at x = -2 and an asymptote at x = 3.

So the values of x that need to be excluded from the domain are:

x = 3 and x = -2

Therefore, the domain of the given rational function is:  { x ∈ R | x ≠ -2, 3 }

Answer: 2x+5y=50

Step-by-step explanation:

x=number of 2-ounce weights

y=number of 5-ounce weights

Because of this you will write the total weight (50) is equal to __. On the other end you will multiply the possible number of 2-ounce weights to 2 because this will give you the weight for the 2 ounce. The same is done for the 5-ounce weights. Once you combine both of them you would get the total weight. Which is why 2x+5y=50 is the answer.

Step by Step Explanation:

Here, to find the slope of line passing through two points x₁,x₁ and y₁,y₂ is given by:-

[tex]\sf m=\frac{y_2 - y_1}{x_2 - x_1} [/tex]

where,

x₁ = 2

x₂ = 9

y₁ = 5

y₂ = 8

Therefore putting the values , we get

[tex] \sf \: m=\frac{y_2 - y_1}{x_2 - x_1} \\ \\ : \longrightarrow \: \frac{8 - 5}{9 - 2} \\ \\ : \longrightarrow \: \frac{3}{7} [/tex]

Hence, the slope of line passes through the points (2, 5) and (9, 8) is 3/7.

Answer:

120 cm^2

Step-by-step explanation:

15*8; You can basiclly move the left edge to fill in the right part and it will become a normal rectangle. Then you can just do lenght*width

Answer:

120 Square centimeters

Step-by-step explanation:

A = bh = 15×8 = 120

The composite figure includes a rectangle and trapezoid

The area of the composite figure is 810.5cm².

From the complete question, we have the following parameters:

Shapes: Rectangle and trapezoid

The area of the rectangle is:

Area = Length × Width

So, we have:

Area = 15 × 23

Area  = 345cm²

The area of the trapezium

Area = 0.5 × (a + b) ×h

So, we have:

Area = 0.5 × (15 + 34) × 19

Area = 0.5 × 49 × 19

Area = 465.5cm²

Add both areas to calculate the area of the composite figure

Total area = 345cm² + 465.5cm²

Total area  = 810.5cm²

Hence, the area of the composite figure is 810.5cm².

Read more about area on:

https://brainly.com/question/27297875

Answer:

2.5h + 4 = 12 is your equation

2.5h = 12 - 4

2.5h = 8

h = 8 / 2.5

h = 3.2 hrs

Step-by-step explanation:

Answer:

2.5h + 4 = 12 is your equation

2.5h = 12 - 4

2.5h = 8

h = 8 / 2.5

h = 3.2 hrs

Answer:

500

Step-by-step explanation:

let's say charlie sends x messages per month

he spends $50 + 0.05 for each x (message), which comes out to less than or equal to $75.

as an equation, this is

50 + 0.05 x ≤ 75

subtract both sides by 50 to isolate the variable and its coefficient

0.05 x ≤ 25

multiply both sides by 1/0.05 to isolate x

x ≤ 500

the maximum is therefore x = 500 messages

Answer:

Geometric function deals with points, lines, varied-dimensional objects and shapes, surfaces, and solids in mathematics Whiles Algebra uses variables, in the forms of letters and symbols, to act as numbers or quantities in equations and formulas.

Answer:

Step-by-step explanation:

The bodybuilder gains 1.5 each week for 5 weeks.

If the bodybuilder gains 1.5 for 5 weeks, how many pounds did he gain?

1.5 * 5 = 7.5

Answer:

I cannot answer this question because it is not complete. Please use complete sentences and questions.

Answer:

The answer is given in the picture

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

The amount of each monthly installment is $1,294 and the hire purchase of the car​ is: $4,158.

a.  Monthly installment

2 1/2 years=30 months

First step

Amount payable=[49,500×(1-.30)] /30 months

Amount payable=(49,500×.70)/30 months

Amount payable=$34,650/30 months

Amount payable=$1,155

Second step

Amount of monthly installment=[$1,155×(1+0.12)

Amount of monthly installment=$1,155×1.12

Amount of monthly installment=$1,293.6

Amount of monthly installment=$1,294 (Approximately)

b. Hire purchase

Hire purchase=$1,155×.12×30 months

Hire purchase=$4,158

Therefore the amount of each monthly installment is $1,294 and the hire purchase of the car​ is: $4,158.

Learn more about monthly installment here:https://brainly.com/question/2151013

#SPJ1

Answer:

4

Step-by-step explanation:

Here we know that T is the midpoint of SU.

Therefore, we know ST and TU are equal.

Setting their values equal, we get:
x+3 = 4x

Then we isolate x by subracting x from both sides:

3=3x

Finally we divide by 3:

1=x

Now we can solve for TU:

4x= 4(1) = 4

Answer:

27 units

Step-by-step explanation:

To find the volume you do length x width x height. 3 x 3 x 3 is 27.

Answer:

3,295.4

Step-by-step explanation:

to the nearest tenth is 3,295.4

Answer:

484 meters squared

Step-by-step explanation:

Area is Length times Width.

You're dealing with a square meaning all sides are equal.

You simply need to do 22m x 22m = 484m squared

Answer:

A. 1/9

Step-by-step explanation:

In order to find probability, you need to add up the total number of cards Dana has.

14 + 10 + 8 + 4 = 36

Then set up a fraction representing probability.

4 hockey cards

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

36 total cards

Simplify

1

---

9

This means that Dana has a 1 out of 9 chance of getting a hockey card.

☆anvipatel77☆

•Expert•

Brainly Community Contributor

Answer:

okay so the answer is 70°

Step-by-step explanation:

the triangle has two sides equal meaning its a scalene triangle. now bases scalene triangles have two angles equal. hence sum of angles in the triangle sum up to 180° please. rate. me brainliest. if I'm. right

[tex]55 + 55 + x = 180 \\ 110 + x = 180 \\ x = 180 - 110 \\ x = 70degrees[/tex]

5 red, 4 yellow, 9 blue, 2 pink, 4 purple

5 + 4 + 9 + 2 + 4 = 24 people

Calculate persons of each color

Total:&

Lucas's car dealerships' expected revenue over the next 3 days is $6800

The expected revenue is calculated using the following formula of expected value

[tex]E(x) = \sum x * P(x)[/tex]

The data elements on the table are represented as:

Days        Revenue

0              3000

1               1800

2              1300

3               800

So, we have:

E(x) = 0 * 3000 + 1 * 1800 + 2 * 1300 + 3 * 800

Evaluate the sum of the products

E(x) = 6800

Hence, Lucas's expected revenue is $6800

Read more about expected values at:

https://brainly.com/question/15858152

#SPJ1

Answer:

For B it is A92B but for a

Step-by-step explanation:

I got it right on my test!

Answer: 44.85 in decimal and 44 Rem 52

Step-by-step explanation: Check my file for long calculation. You can stop when the remainder is 52 Or continue to divide further with decimal