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3 years ago

Write 4x2 + 16x - 9 in vertex form. Write 5x2 - 10x + 4 in vertex form.

Mathematics

1 answer:

Marizza181 [45]3 years ago

6 0

Hi king,

Write $4x^{2} + 16x - 9$ in vertex form:

f(x)= $4x^{2} + 16x - 9$

f(x)= $4(x+2)^{2} -25$

Write $5x^{2} - 10x + 4$ in vertex form:

g(x)= $5x^{2} - 10x + 4$

g(x)= $5(x-1)^{2} -1$

Have a great day.

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Help I really don’t understand this

MAXImum [283]

Let x=3.77777777...
10x=37.777777777...
9x=10x-x=34
9x=34 so x=34/9=3 7/9

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3 years ago

The sum of three numbers is 18. If every number is a prime number, what are the three numbers?

sleet_krkn [62]

The three numbers are 2, 5, and 11.

The sum of 3 numbers is 18. 2 + 5 + 11 = 18

Since the problem states that every number is a prime number, then the number must be a natural number greater than 1 that has no positive divisors other than 1 and itself.

2 / 1 = 2 OR 2 / 2 = 1 These numbers are prime numbers because their divisors
5 / 1 = 5 OR 5 / 5 = 1 are 1 and itself.
11/1 = 11 OR 11/11 = 1

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3 years ago

Read 2 more answers

Sloane kicked a soccer ball off the ground at a speed of 36 feet per second. the height of the ball can be represented by the fu

deff fn [24]

The total time in seconds the ball will take to travel before returning the ground is 2.25 seconds.

<h3>What is factorisation?</h3>

The breaking or breakdown of an entity (such as an integer, a matrices, or a polynomials) into a products of another unit, or factors, whose multiplication results in the original number, matrix, etc., is known as factorisation or factoring in mathematics.

Calculation for the time;

Let 't' be the time in second the ball will travel.

Let H(t) be the total height travelled by the ball.

The equation of the height is given as

$H(t)=-16 t^{2}+36 t$

As soon as the ball will return to the ground the total height will become zero.

So, put equation of height equal to zero.

$-16 t^{2}+36 t=0$

Factorise the above equation;

$-16 t\left(t-\frac{9}{4}\right)=0$

Put each value equals to zero to get the value of time.

$\begin{aligned}&t=0 \mathrm{sec} \\&t=9 / 4=2.25 \mathrm{sec}\end{aligned}$

As, time can not be zero

Therefore, the total time taken by the ball to return to the ground is 2.25 sec.

To know more about factorisation, here

brainly.com/question/25829061

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1 year ago

Josie saw a sign advertising 6 ears of sweet corn for $1.50. how much would 15 ears of corn cost?

Arlecino [84]

$1.50/6= $0.25
$0.25* 15= $3.75

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3 years ago

ABCD is a trapezium with AB parallel to CD. Find the value of x and the value of y.

Natasha2012 [34]

Answer:

x = 107 , y = 60

Step-by-step explanation:

Each lower base angle is supplementary to the upper base angle on the same side, then

x + 73 = 180 ( subtract 73 from both sides )

x = 107

and

y + 2y = 180

3y = 180 ( divide both sides by 3 )

y = 60

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3 years ago