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3 years ago

Can you help me in this question?

Mathematics

1 answer:

gregori [183]3 years ago

3 0

Answer: I think its B

Step-by-step explanation: My friend answered it.

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When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F

aleksandr82 [10.1K]

Let $x$ be the unknown number. So, three times that number means $3x$ , and the square of the number is $x^2$

We have to sum 528 and three times the number, so we have $528+3x$

Then, we have to subtract this number from $x^2$ , so we have

$x^2-(3x+528)$

The result is 120, so the equation is

$x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0$

This is a quadratic equation, i.e. an equation like $ax^2+bx+c=0$ . These equation can be solved - assuming they have a solution - with the following formula

$x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

If you plug the values from your equation, you have

$x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}$

So, the two solutions would be

$x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27$

$x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24$

But we know that x is positive, so we only accept the solution $x = 27$

6 0

3 years ago

What is the sequence of second differences for ax +b?

MAVERICK [17]

Answer:

ZERO

Step-by-step explanation

Write the given function as

F(x) = ax + b

i.e Y = ax + b

now differentiate Y with respect to X

dY/dX = d (ax + b)/ dx

dY/dX = a

now again differentiate this function with respect to x

so, d^2Y/dX^2 = d^2 (a)/dX^2

= 0 (ZERO)

note: differentiation of constant function is zero

4 0

3 years ago

Which percent equivalent to 2 5/6

Agata [3.3K]

Answer:

283.33333333%

Step-by-step explanation:

(2 5/6) × 100%

= 283.33333333%

= 2.8333333333

7 0

3 years ago

Read 2 more answers

An inground swimming pool contains 2.3 times 10 superscript 4 units of water. which unit of measure was used? teaspoons cubic ce

Katarina [22]

The measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.

<h3>What is the Unit conversion?</h3>

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm,

Though the real measurement is still the same the units and numerical values have been changed.

As it is given, the pool's volume or the amount of water in the pool is equal to 2.3×10⁴ units.

We know that an average swimming pool has a volume of water that is in gallons, therefore, the unit of water that will be filled in the swimming pool will be equal to 2.3×10⁴ gallons.

Hence, the measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.

Learn more about Units conversion:

brainly.com/question/4736731

7 0

1 year ago

Read 2 more answers

Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing i

ad-work [718]

Answer:

p-value: 1.000

There is enough evidence at the 1% level of significance to suggest that the proportions are not equal.

Step-by-step explanation:

We will be conducting a difference of 2 proportions hypothesis test

The hypothesis for this test is:

H0: p1 - p2=0

Ha: p1 - p2 ≠0

(p1 ) = 252/300 = 0.84

(p2) = 195/300 = 0.65

This is a 2 tailed test with a significance level of 1%. So our critical values are: z > 2.575 and z < -2.575

See the attached photo for the calculations for this test

5 0

2 years ago