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3 years ago

Find the solution for the inequality

Mathematics

2 answers:

kicyunya [14]3 years ago

7 0

Answer:

y < 5 is the answer

Step-by-step explanation:

Fofino [41]3 years ago

3 0

Answer:

y < 5

Step-by-step explanation:

22-3y>7

1.) -3y > 7-22 subtract both sides by 22 so you get -3y > -15

2. ) y < -5 divide both sides by -3

then flip the inequality sign because you're dividing by a negative number.

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A picture inside a frame is 2 inches longer than it is wide. The picture is in a frame that has a width of 3 inches on each side

geniusboy [140]

Answer:

The dimensions of the frame are 15 in x 13 in

Step-by-step explanation:

Let

x ----> the length of the picture

y ----> the width of the picture

we know that

$x=2+y$ -----> equation A

The area of the picture, including the frame is

$A=(x+6)(y+6)$

$A=195\ in^2$

$195=(x+6)(y+6)$ ----> equation B

substitute equation A in equation B

$195=(2+y+6)(y+6)$

solve for y

$195=(y+8)(y+6)\\y^2+6y+8y+48=195\\\\y^2+14y-147=0$

solve the quadratic equation by graphing

The solution is y=7 in

see the attached figure

<em>Find the value of x</em>

$x=2+7=9\ in$

Find the dimensions of the frame

$x+6=9+6=15\ in$

$y+6=7+6=13\ in$

therefore

The dimensions of the frame are 15 in x 13 in

7 0

3 years ago

Which number has a value of 800,000,000

Ymorist [56]

The answer is B due to the greater value in the millions place, 9 million is greater than 8 million

4 0

4 years ago

when the product of six and the square of a number is increased by five times the number the result is four

Alenkinab [10]

Answer:

6n^2 + 5n = 4

Step-by-step explanation:

Represent the number by n. Then: 6n^2 + 5n = 4.

Next time, please include complete instructions. What were you supposed to do here?

6 0

3 years ago

Welp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Radda [10]

Answer:

First and last one

Step-by-step explanation:

You have to use Pythagoras. Square the first two numbers (smallest) and then add them together. Square root the answer and if it gives you the largest number in the set, it‘s right

Hope this helps!

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8 0

3 years ago

Find the derivative of the function <br> f(x) = √2^3 + ln(x^3) - 2x^3 - log_3(729) - 2/x^4

marysya [2.9K]

Applying the rules for the constant, logarithm and exponents, the derivative of the given function is of:

f'(x) = 3/x - 6x² - 8/(x^5).

<h3>What is the derivative of the function?</h3>

The function is given by:

f(x) = √2^3 + ln(x^3) - 2x^3 - log_3(729) - 2/x^4

The derivative of a sum is the sum of the derivatives, hence:

f'(x) = (√2^3)' + (ln(x^3))' - (2x^3)' - (log_3(729))' - (2/x^4)'

The derivative of a constant is of zero, hence:

(√2^3)' = 0.

(log_3(729))' = 0.

Hence:

f'(x) = (ln(x^3))' - (2x^3)' - (2/x^4)'.

The derivative of the logarithm is given by:

ln(h(x))' = (1/h(x)) x h'(x).

Hence:

(ln(x^3))' = 3x²/x³ = 3/x.

The derivative of the power of x is given by:

[x^n]' = nx^(n-1).

Hence:

(2x³)' = 6x².

(2/x^4)' = (2x^(-4))' = -8x^(-5) = -8/(x^5).

Hence the derivative of the function is given by:

f'(x) = 3/x - 6x² - 8/(x^5).

More can be learned about derivatives at brainly.com/question/23819325

#SPJ1

3 0

1 year ago