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3 years ago

Factor completely, then place the answer in the proper location on the grid. 6х^2 - 3х - 30

Mathematics

1 answer:

Tems11 [23]3 years ago

7 0

Answer:

3(x + 2)(2x - 5)

Step-by-step explanation:

Given

6x² - 3x - 30 ← factor out 3 from each term

= 3(2x² - x - 10) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 10 = - 20 and sum = - 1

The factors are + 4 and - 5

Use these factors to split the x- term

2x² + 4x - 5x - 10 ( factor the first/second and third/fourth terms )

= 2x(x + 2) - 5(x + 2) ← factor out (x + 2) from each term

= (x + 2)(2x - 5), thus

2x² - x - 10 = (x + 2)(2x - 5) and

6x² - 3x - 30

= 3(x + 2)(2x - 5) ← in factored form

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your family went out to dinner to celebrate your grandmas 100th birthday. The total for the dinner was $208.60, so your parents

Allushta [10]

Answer:

$\%Tip = 13.04\%$

Step-by-step explanation:

Given

$Tip= \$31.29$

$Bill = \$208.60$

Required

Determine the percentage of the tip

First, we calculate the amount paid

$Amount = Tip + Bill$

$Amount = \$31.29 + \$208.60$

$Amount = \$239.89$

The percentage of the tip is then calculated using:

$\%Tip = \frac{Tip}{Amount} * 100\%$

$\%Tip = \frac{31.29}{239.89} * 100\%$

$\%Tip = \frac{31.29* 100}{239.89} \%$

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8 0

2 years ago

A light bulb consumes 2400 watt-hours per day. How long does it take to consume 13800 watt-hours?

olga55 [171]

It will take about 5.75 days. basicly 5 days and 18 hours.
divide hours by total, and then find out 75 percent of 24

4 0

3 years ago

Read 2 more answers

Given the following geometric sequence, find the common ratio: {16, 64, 256, ...}.

Anettt [7]

Answer:

The common ratio is 4

Step-by-step explanation:

We need to divide a term by the previous term to find the common ratio in a geometric sequence:

64 ÷ 16 = 4

256 ÷ 64 = 4

By doing it twice we can confirm that the common ratio is 4

8 0

3 years ago

Read 2 more answers

Find (a) the slope of the curve at the given point p, and (b) an equation of the tangent line at p. y=−2−9x2; p(2,−38)

Neporo4naja [7]

Answer:

a) -36

b) y = -36x +34

Step-by-step explanation:

a) The slope is found using the derivative of the function.

f'(x) = dy/dx = 0 -9(2x) = -18x

Then at x=2, the slope is ...

f'(2) = -18·2 = -36

___

b) The point-slope form of the equation can be written as ...

y = -36(x -2) -38

Simplifying to slope-intercept form, we get ...

y = -36x +34

6 0

3 years ago

Which of the following lists the angles from smallest to largest?

ioda

Here is your answer

The angle opposite of the larger side is greater and vice versa.

Here

smallest side= AC (8cm)< BC (9cm) <AB (10cm)

So,

angles opposite to these sides are

B <A <C

HOPE IT IS USEFUL

5 0

3 years ago