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Lelu [443]
1 year ago
8

Im so confused please help!!

Mathematics
1 answer:
Feliz [49]1 year ago
4 0

The factored form of the expression is (2x-1)(2x+5) and the x-intercept of the function is 1/4 and -5/2 respectively

<h3>Solving quadratic equation</h3>

Quadratic equations are equations that has a leading degree of 2. Given the quadratic equation below;

y = 4x^2 + 8x -5

The x-intercept is the point where the value of y is zero.

Factorize the resulting expression

y = 4x^2 + 8x -5

y = 4x^2 - 2x + 10x -5

y = 2x(2x-1)+5(2x -1)

y = (2x-1)(2x+5)

The factored form of the expression is (2x-1)(2x+5)

Equate the given factors to zero

(2x-1)(2x+5) = 0

Equate the factors to zero

2x - 1 = 0

2x = 1

x = 1/4

Similarly

2x + 5 = 0

2x = -5

x = -5/2

Hence the x-intercept of the function is 1/4 and -5/2 respectively

C) For the end behavior, as the value of x tends to infinity, hence the y-values tends to infinity

D) In order to plot the graph, the x-intercepts of the will be plotted on the graph and then curve will be created.

Learn more on quadratic equation here: brainly.com/question/1214333

#SPJ1

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PLS HELP ASAP! GIVING BRAINLIST!
Rus_ich [418]

Answer:

I think it is 8, i did not learn this in school

Step-by-step explanation:

2(3x^2+5)

6x^2+10

7 0
3 years ago
How do i write 563.84 in expanded notation?
andriy [413]

Answer:

(5 × 10^3) + (3 × 10^2) + (2 × 10^1) + (5 × 10^0) = 5,325

Step-by-step explanation:

4 0
3 years ago
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Madisyn is planting crops in a triangular garden. She is trying to find the amount of fencing
MrRissso [65]

Answer:

Fencing needed = 20.8 units

Step-by-step explanation:

From the figure attached,

Given: Triangle ABC with vertices A(0, 6), B(6, 5) and C(5, -1).

We have to find the length of fence required to cover the triangular garden.

Amount of fencing required = Perimeter of the triangular garden

Perimeter of the garden = AB + BC + AC

Formula to get the distance between A and B,

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AB = \sqrt{(0-6)^2+(6-5)^2} = \sqrt{37}

BC = \sqrt{(6-5)^2+(5+1)^2} = \sqrt{37}

AC = \sqrt{(0-5)^2+(6+1)^2} = \sqrt{74}

Perimeter = \sqrt{37}+\sqrt{37}+\sqrt{74}

                = 6.08 + 6.08 + 8.60

                = 20.76

                ≈ 20.8 units

Therefore, amount of fencing required to cover the triangular park is 20.8 units.

3 0
3 years ago
HELP ME PLEASEEEEEEEEE
Nataliya [291]

Answer:

a)This solution matches with the original equation and its solution

b)This solution matches with the original equation and its solution

c)This solution <em><u>does not</u></em> match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

d)This solution <em><u>does not</u></em> match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

Step-by-step explanation:

i) Which scenarios can be solved by 1.5x +  2.25 = 12.75. Select all that apply and note the given solution.

therefore 1.5x = 10.5   therefore x  = 7

a) let the number be x

   therefore if \frac{3}{2} x + \frac{9}{4}  = \frac{51}{4}  \Rightarrow  1.5x + 2.25 = 12.75  then the number x = 7.

 This solution matches with the original equation and its solution

b.) If a taxi driver charges a flat fee of $2.25 and $1.5 per mile, where the

     number of mile = x, then the number of miles Juan can ride the taxi for

     $12.75 is x = 7.

This solution matches with the original equation and its solution

c)if nine quarters of a number, say x, increased by three halves is fifty one

   quarters, the number is x = 5,

   \frac{9}{4} x + \frac{3}{2}  = \frac{51}{4}  \Rightarrow  9x = 51 - 6 = 45 \therefore x = 5

This solution <em><u>does not</u></em> match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

d.)   If a taxi driver charges a flat fee of $1.5 and $2.25 per mile, where the

     number of mile = x, then the number of miles Juan can ride the taxi for

     $12.75 is x = 5.

2.25x + 1.5  = 12.75  \Rightarrow  9x = 51 - 6 = 45 \therefore x = 5

This solution <em><u>does not</u></em> match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

3 0
3 years ago
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atroni [7]

Answer:

Concept: Area

  1. area = \pi {r}^{2}
  2. We are given area hence 78.5 square meters
  3. We want the radius so we isolate
  4. 78.5 = \pi {r}^{2}
  5. Isolate for r to get r= 4.99 or 5 square units approximately
4 0
2 years ago
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