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2 years ago

Does this equation have:

Mathematics

1 answer:

r-ruslan [8.4K]2 years ago

6 0

Answer: Two Postive solutions

Step-by-step explanation:

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Write g(x) = 4x2 + 88x in vertex form. The function written in vertex form is g(x) = (x +11)2 + .

romanna [79]

Answer:

y = 4(x + 11)² - 484

Step-by-step explanation:

y = 4x² + 88x

factor the expression

y = 4(x² + 22x)

complete the square

y + ? = 4(x² + 22x + ?)

y + ? = 4(x² + 22x + 121)

add 4 • 121 to the left side

y + 4 • 121 = 4(x² + 22x + 121)

multiply

y + 484 = 4(x² + 22x + 121)

y + 484 = 4(x + 11)²

subtract both sides by 484

y = 4(x + 11)² - 484

6 0

3 years ago

Read 2 more answers

A pole that is 2.5 m tall casts a shadow that is 1.47 m long. At the same time, a nearby tower casts a shadow that is 36.25 m lo

Roman55 [17]

The tower is 61.65 meters tall.

<u>SOLUTION: </u>

Given that, a pole that is 2.5 m tall casts a shadow that is 1.47 m long.

At the same time, a nearby tower casts a shadow that is 36.25 m long.

We have to find height of the tower.

Now, we know that,

$2.5 \mathrm{m} \text { tall } \rightarrow 1.47 \text { long shadow }$

Then, (let it be) n meter tall $\rightarrow$ 36.25 long shadow

So, by cross multiplication method,

$\Rightarrow \frac{2.5}{1.47}=\frac{n}{36.25}$

This can be written as,

$\Rightarrow 36.25 \times 2.5=1.47 \times n \rightarrow 1.47 n=90.625 \rightarrow n=61.649 \rightarrow n=61.65 \text{ m}$

Cross multiplications steps: (To find Single Variable)

Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction.
Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction.
Set the two products equal to each other.
Solve for the variable.

6 0

3 years ago

Consider the following system of two linear equations:

harkovskaia [24]

Hello,

Answer:

The last graph (2;3)

Step-by-step explanation:

2x + 3y = 12

2x – 3y = 0

2x + 3y = 12

2x = 3y

3y + 3y = 12 ⇔ 6y = 12 ⇔ y = 12/6 = 2

2x + 3 × 2 = 12 ⇔ 2x + 6 = 12 ⇔ 2x = 6 ⇔ x = 6/2 = 3

4 0

1 year ago

Determine the factors of the expression x^2 - 9

Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

The answer is B.

Use the sum-product pattern

2+3−3−9

Common factor from the two pairs

2+3−3−9x2+3x−3x−9

(+3)−3(+3)

Rewrite in factored form

(+3)−3(+3)

Solution:

(−3)(+3)

‘Hope it Helps!

5 0

2 years ago

What is the simplest form of the radical expression?

BaLLatris [955]

I believe the equation is
$4 \sqrt[4]{2x} + 6 \sqrt[4]{2x}$
In this case, you would simplify it by adding them together.
$4 \sqrt[4]{2x} + 6 \sqrt[4]{2x}$ = $10 \sqrt[4]{2x}$
And can even be changed to an exponential equation:
$10(2x)^{ \frac{1}{4} }$

7 0

2 years ago