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Veseljchak [2.6K]
4 years ago
7

Use the quadratic function f(x) = 2x2 + 4x +3 to answer the following questions.

Mathematics
1 answer:
GuDViN [60]4 years ago
8 0
The vertex is (-1,1)

Explanation

The vertex formula to find the x coordinate of the formula is -b/2a

So we plug in the values into the formula which is

-4/2(2)

Simplify it

-4/4
=-1
-1 is now the x cord of the vertex.

So now we will plug in the x into the quadratic equation which is 2x^2+4x+3

2(-1)^2 + 4(-1) + 3 = 2 -4 +3

Simplify it

5 - 4= 1

Y=1
So the Coordinates of the vertex is (-1,1)
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9). Four friends earned $4.20 for washing a car. They decided to split the money equally. How much money did each friend get?​
V125BC [204]

Answer:

1.05

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
If ABCD is a parallelogram. BC=13 and AB=5, what is the perimeter of the parallelogram?
UkoKoshka [18]

Answer:

36

Step-by-step explanation:

In a Parallelogram , it is important to note that opposite sides are equal to each other.

We are given parallelogram ABCD.

We have sides: AB, BC, CD, AD.

Since opposite sides are equal then:

AB = CD

BC = AD

The perimeter of a parallelogram is the sum of all its sides.

In the question: BC=13 and AB=5

Hence,

AB = CD = 5

BC = AD = 13

Perimeter of Parallelogram ABCD = 5 + 5 + 13 + 13

= 36.

6 0
3 years ago
One month Pablo rented 12 movies and 2 video games for a total of $65. The next month he rented 3 movies and 5 video games for a
borishaifa [10]

The rent for one movie is $4.50 and rent for one video game is $5.50

Step-by-step explanation:

Let,

Rent for one movie = x

Rent for one video game = y

According to given statement;

12x+2y=65     Eqn 1

3x+5y=41        Eqn 2

Multiplying Eqn 2 by 4

4(3x+5y=41)\\12x+20y=164\ \ \ \ Eqn\ 3

Subtracting Eqn 1 from Eqn 3

(12x+20y)-(12x+2y)=164-65\\12x+20y-12x-2y=99\\18y=99\\

Dividing both sides by 18

\frac{18y}{18}=\frac{99}{18}\\y=5.50

Putting y=5.50 in Eqn 2

3x+5(5.50)=41\\3x+27.50=41\\3x=41-27.50\\3x=13.50

Dividing both sides by 3

\frac{3x}{3}=\frac{13.50}{3}\\x=4.50

The rent for one movie is $4.50 and rent for one video game is $5.50

Keywords: linear equation, elimination method

Learn more about linear equations at:

  • brainly.com/question/1284310
  • brainly.com/question/1286775

#LearnwithBrainly

7 0
3 years ago
PLS HELP ME I ONLY HAVE # HOURS TO COMPLETE I WILL MARK THE BRAINLIEST!!!
nata0808 [166]

triangle on right is the same as the triangle on the left

use pythagorean theorem

hypotenuse will give to the sides of the rectangle

a^2 + b^2 = hypotenuse squared

10.4^2 = 108.16

15.3^2 = 234.09

342.25 = hypotenuse squared

take the square root in both sides

hypotenuse = the square root of 342.25 =

18.5

add up the areas of the 2 triangles and rectangle

triangle area is 1/2 times 10.4 times 15.3 =

79.56

2 triangles areas are 159.12

rectangle area is 18.5 × 7 = 129.5

159.12 + 129.5 = 288.62

answer 1 = 288.62

second question:

to get 1 side take the

square root of 702.25 which is

26.5

to get the perimeter

multiply 26.5 by 4 which is

106

answer 2 is choice B 106

3 0
2 years ago
7. Find the measure of <1. Justify your answer
ANTONII [103]

Answer:

3rd option

Step-by-step explanation:

∠ 1 and 75° are corresponding angles and are congruent , so

∠ 1 = 75°

8 0
3 years ago
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