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3 years ago

5

Multiply and simplify: (2x - 5)(3x2 5x - 7).

2 answers:

Nady [450]3 years ago

5 0

After multiplication, the equation would be :

6x2 + 10x2 - 14x - 15x2 - 25x + 35

= x2 - 29x + 35

Nezavi [6.7K]3 years ago

5 0

Answer: 6x^3 - 5x^2 - 39x + 35

Step-by-step explanation: Multiply each term in the first set of parentheses by each term in the second set of parentheses. Multiply the coefficients and add the exponents. 2x(3x2) + 2x(5x) + 2x(-7) -5(3x2) - 5(5x) - 5(-7) = 6x3 + 10x2 - 14x - 15x2 - 25x + 35. Combine like terms. The correct answer is 6x^3 - 5x^2 - 39x + 35 .

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Caroline puts $400 into a savings account that earns 6% annually. Write a function that represents this situation, where t is th

DaniilM [7]

Answer: 19 years

Step-by-step explanation:

Given

Amount invested $\$400$

Rate of interest $R=6\%$

after 1-year amount becomes

$A=400\left (1+6\%\right)\\A=400\left (1+0.06\right)\\A=400\times 1.06\\A=\$424$

After n years it is

$A=400\left (1.06\right)^n$

Sum accumulated is $\$1200$

$\Rightarrow 1200=400\left(1.06\right)^n\\\Rightarrow 3=\left(1.06\right)^n\\\text{Taking log both sides}\\\Rightarrow n=\dfrac{\ln 3}{\ln 1.06}\\\\\Rightarrow n=18.85\approx 19\ \text{years}$

5 0

3 years ago

What is the ratio of 250 cm to 2 m

Ainat [17]

Answer:

250:2

Step-by-step explanation:

Hope it helps!

4 0

2 years ago

by selling a mobile set of rupees 4800 Ramesh gains 25% how much will have we gained by selling it at rupees 4080

Crank

Answer:

240

Step-by-step explanation:

Gain=25%

Gain=selling price - cost price

Gain = ((selling price - cost price )× 100)/ cost price

25c=(4800-c)100

25c=480000-100c

125c=480000

cost price = 3840

second statement

The selling price was 4080

Cost price 3840

therefore

Gain=selling price - cost price

Gain = 4080-3840

=240

5 0

3 years ago

How do you solve 42+2x=5.50x

tangare [24]

U can’t that’s ur answer bc u can’t add if there’s an x

7 0

2 years ago

Read 2 more answers

Match each circular flower bed on the left to its circumference and its area on the right. Some answer options on the right will

marin [14]

Answer:

Bed A --- Third Option

Bed B --- Fifth Option

Step-by-step explanation:

Flower Bed A)

The formula for circumference is:

$C=2\pi r$

The diameter of A is 10 feet. So, its radius is 5 feet.

Substitute 5 for r. So, the circumference of Bed A is:

$C=2\pi (5)=10\pi\text{ feet}$

The formula for the area of a circle is:

$A=\pi r^2$

Substitute 5 for r:

$A=\pi (5)^2$

Square and simplify:

$A=25\pi \text{ square feet}$

So, the circumference of Bed A is 10π feet and its area is 25π square feet.

Therefore, match Bed A to the third option.

Flower Bed B)

The radius of Bed B is 6 feet. Again, we can use the circumference and area formulas. Substitute 6 for r for circumference:

$C=2\pi (6)$

Multiply:

$C=12\pi\text{ feet}$

Substitute 6 for r for the area formula:

$A=\pi(6)^2$

Square and simplify:

$A=36\pi\text{ square feet}$

So, Bed B has a 12π feet circumference and a 36π square feet area.

Therefore, match Bed B to the fifth option.

And we're done!

8 0

3 years ago