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3 years ago

Solve the inequality. Graph the solution.

Mathematics

2 answers:

Umnica [9.8K]3 years ago

7 0

$-14(d+1)-\dfrac{8}{7}$

mr Goodwill [35]3 years ago

5 0

Answer:

d> -8/7

Step-by-step explanation:

−14(d+1)<2

Distribute

-14d -14 <2

Add 14 to each side

-14d -14+14 <2+14

-14d < 16

Divide by -14 Remember to flip the inequality since we are dividing by a negative

-14d/-14 >16/-14

Divide the top and bottom by 2

d> -8/7

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All of the middle school mathletes solve math problems at the same pace. Working together, six mathletes complete all of the sum

guapka [62]

Answer:

5 1/2 hours

Step-by-step explanation:

by a factor of 5 means times 4

6*4=24

22/4=5.5 hours

8 0

3 years ago

I am a factor of 16 but not a multiple of 4. Who am i?

swat32

1 & 2 are the only factors of 16 & not multiples of 4.

Hope this helps!!

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4 years ago

Alvin throws the football to a receiver who jumps up to catch the ball. The height of the ball over time can be represented by t

Mandarinka [93]

Answer:

The standard form of the equation is 49t² - 75t + 3 = 0

The solution of the equations are 1.49 and 0.041

Step-by-step explanation:

* Lets explain how to solve the problem

- The standard form of the quadratic equation is ax² + bx + c = 0,

where a , b , c are constant and a can not be 0

∵ The quadratic equation is -4.9t² + 7.5t + 1.8 = 2.1

- Lets make the left hand side equal to 0

∵ -4.9t² + 7.5t + 1.8 = 2.1 ⇒ subtract 2.1 from both sides

∴ -4.9t² + 7.5t - 0.3 = 0 ⇒ multiply each term by -10

∴ 49t² - 75t + 3 = 0

* The standard form of the equation is 49t² - 75t + 3 = 0

∵ ax² + bx + c = 0

∴ a = 49 , b = -75 , c = 3

- Lets use the formula $x=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}$ to solve

the equation

∴ $x=\frac{-(-75)+\sqrt{(-75)^{2}-4(49)(3)}}{2(49)}=1.49$

∴ $x=\frac{-(-75)-\sqrt{(-75)^{2}-4(49)(3)}}{2(49)}=0.041$

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6 0

3 years ago

What is the fourth term of the expansion of the binomial (2x+5)^5

larisa [96]

For a binomial expansion with exponent 5, the general equation is as follows
(x + y)⁵ = x⁵ + 5x⁴y + 10x³y² + 10x²y³ + 5xy⁴ + y⁵

when expanded from left to right the powers of x decrease from 5 to 0 and powers of y increase from 0 to 5

substitute x =2x and y = 5

(2x + 5)⁵ = (2x)⁵ + 5(2x)⁴5 + 10(2x)³5² + 10(2x)²5³ + 5(2x)5⁴ + 5⁵

<span>= 32x⁵ + 400x⁴ + 2000x³ + 5000x² + 6250x + 3125
</span>we use the pascals triangle to find the coefficient

we can use the binomial theorem to find the 4th term as well
exponent - 5
term - 4
5!/ (5-4)!4! * (2x)⁴5⁵⁻⁴
=120/24 *16x⁴*5
=400x⁴

7 0

3 years ago

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son4ous [18]

Answer:

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Step-by-step explanation:

i googled it

6 0

3 years ago