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4 years ago

Expand and simplify (4x+3)(2x-5)

Mathematics

1 answer:

larisa86 [58]4 years ago

5 0

By knowing $(a+b)(c-d)=ac-ad+bc-bd$ we can expand and simplify,

$(4x+3)(2x-5)=8x^2-20x+6x-15=8x^2-14x-15$ .

Hope this helps.

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A rectangular prism with a volume of 10 cubic units is filled with cubes with side lengths of 1/2

Katarina [22]

The answer is 5 Bc it’s half of ten

7 0

4 years ago

Please help! How on earth do I do this? In the year 2015, Anna bought a new car for $36,000. In 2017, she was told that the valu

Klio2033 [76]

Part A

Purchase Value of Anna's Car in 2015 = $36,000

Depreciated Value of Anna's Car in 2017 = $25,000

We know that the value of the car is depreciating linearly.

From the above data, we can see that the value of the car has reduced by $36,000-$25,000 = $11,000 over 2 years.

⇒ Per year the value has been depreciated by $\frac{11000}{2}$

⇒ Per year the value has been depreciated by $5,500

So if the value of a car in 2015 is V₀ then value of the car after t years can be determined by the below function:

V (t) = V₀ - (t*5,500), where t indicates the years passed since 2015

OR V (t) = 36,000 - (t*5,500), where t indicates the years passed since 2015

Part B

Suggested value of Anna's car for trade in option in 2018 = $15,000

In 2018, 3 years would have been passed since 2015. Using the value of t = 3 in the function determined in Part A:

V(3) = V₀ - (3*5,500)

⇒ V(3) = 36,000 - (16,500)

⇒ V(3) = $19,000

From the above calculations, we can see that the value of the car in 2018 should be $19,000, however the suggested value for trade in is indicated as $15,000 which is lower than what the value of the car should be. Hence, basis linear depreciation, the $15,000 value is not fair for the car in 2018.

3 0

3 years ago

Jenny and her friends are hungry for dessert. They buy $12.25 worth of cookies and ice cream sandwiches. The ice cream sandwiche

Phoenix [80]

If the number of ice cream sandwiches is x

And the number of cookies is y

Then

1.75x + 0.75y = 12.25

and

x + y = 11
y = 11 - x

1.75x + 0.75 (11 - x) = 12.25
1.75x + 8.25 - 0.75x = 12.25
x + 8.25 = 12.25
x = 12.25 - 8.25
x = 4

if x = 4

4 + y = 11
y = 11 - 4
y = 7

x = 4, y = 7

8 0

4 years ago

Find the percent using the percent proportion.<br> What percent of $396 is $49?

IRISSAK [1]

Answer:

Step-by-step explanation:

herefore, $49$49 is $12.37\%$12.37% of $396$396.

7 0

4 years ago

Read 2 more answers

Find an equation of the line such that the points (2/5,5) and (-2/5,4) are on the line.

JulsSmile [24]

The equation of the line is y = $\frac{5}{4}$ x + $\frac{9}{2}$

Step-by-step explanation:

The form of the linear equation is y = mx + b, where

m is the slope of the line, $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
b is the y-intercept, to find b substitute x and y in the equation by the coordinates of any point on the line