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3 years ago

What is the product? (-2x - 3y ?) (-4x-3)

Mathematics

1 answer:

statuscvo [17]3 years ago

4 0

Answer:

8x²+6x+12xy+9y

Step-by-step explanation:

⇒(-2x - 3y)(-4x - 3)

⇒(-2x × -4x)+(-2x × -3)+(-3y × -4x)+(-3y × -3)

⇒8x²+6x+12xy+9y

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Select the correct answer.

joja [24]

Answer:

D. 21/2

Step-by-step explanation:

We simply have to evaluate the first three terms based on the progression's formula:

t= 1, the first term is 8, as we see:

$8(\frac{1}{4})^{t-1} = 8(\frac{1}{4})^{1-1} = 8 * 1 = 8$

t=2, the second term is 2, as we see:

$8(\frac{1}{4})^{t-1} = 8(\frac{1}{4})^{2-1} = 8 * \frac{1}{4} = 2$

t=3, the third term is 1/2, as we see:

$8(\frac{1}{4})^{t-1} = 8(\frac{1}{4})^{3-1} = 8 * \frac{1}{16} = \frac{1}{2}$

The sum of the first 3 terms is then: 8 + 2 + 1/2 = 10 1/2

Among the answer choices, D. 21/2, which is 10 1/2.

3 0

2 years ago

A General Motors buyer-incentive program offered a 5.5% rebate on the selling price of a new car. What rebate (in dollars) would

Mashcka [7]

Answer: he would receive a rebate of $1677.5

Step-by-step explanation:

A General Motors buyer-incentive program offered a 5.5% rebate on the selling price of a new car. This means that if the selling price of the new car is $x, the rebate (in dollars) that a customer would receive is

5.5/100 × x = 0.055 × x = 0.055x

Therefore, for a customer who purchased a $30,500 car under this program, the rebate that he would receive is

0.055 × 30500 = $1677.5

6 0

3 years ago

Using the quadratic formula to solve 2x2 = 4x – 7, what are the values of x? 2 plus-or-minus StartRoot 10 EndRoot i 1 plus-or-mi

ioda

Answer:

$x = 1 +/- \frac{i\sqrt{10} }{2}$

Step-by-step explanation:

The equation given is:

$2x^2 = 4x - 7\\\\2x^2 - 4x + 7 = 0$

Using quadratic formula:

$x = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a}$

From the question:

a = 2, b = -4, c = 7

Therefore:

$x = \frac{4 +/- \sqrt{(-4)^2 - 4 * 2 * 7} }{2 * 2}\\\\x = \frac{4 +/- \sqrt{(16 - 56)} }{4}\\\\x = \frac{4 +/- \sqrt{-40} }{4}\\$

=> $x = 1 +/- \frac{i\sqrt{10} }{2}$

7 0

2 years ago

Read 2 more answers

What is the volume of the prism? --- m3

Pachacha [2.7K]

Answer:

672

Step-by-step explanation:

Formula is length times width times height

14 x 8 = 112

112 x 6 = 672

7 0

2 years ago

Read 2 more answers

if trapezoid ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A’lie

maria [59]

Answer:

Answer: (second option) (-4,1)

Step-by-step explanation:

Transformations of Points and Shapes

The image shows a trapezoid ABCD where point A has coordinates (-4,1).

The following transformations are performed:

Reflection over the y-axis: If a point (x,y) is reflected over the y-axis, it becomes (-x,y). Thus point A becomes A'=(4,1)

Reflection over the x-axis: If a point (x,y) is reflected over the x-axis, it becomes (x,-y). Thus point A' becomes A''=(4,-1)

Rotation 180°: If a point (x,y) is rotated 180°, it becomes (-x,-y). Thus point A'' becomes A'''=(-4,1)

Answer: (second option) (-4,1)

5 0

2 years ago