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2 years ago

Solve the following inequality: -7d + 8 > 29

Mathematics

1 answer:

Angelina_Jolie [31]2 years ago

6 0

Answer:

d<-3

Step-by-step explanation:

-7d + 8 > 29

subtract 8 from each side

-7d>21

multiply both side by -1 and reverse the inequality sign

7d<-21

divide both sides by 7

d<-3

hope this helps :)

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Write a 3-digit number that is divisible by both 3 and 4. Explain how you know this number is divisible by 3 and 4.

Alexeev081 [22]

Answer:

let us assume the 3 digit number be 984

To check weather the number is divisible by 3 and 4 then when should know the divisibility rule of 3 and 4.

A number is said to be divisible by 3 when the sum of each digit of the number is divisible by 3. Example 9+8+4 = 21 is divisible by 3 hence the number is divisible by 3.

A number is said to be divisible by 4 when the last two digit is divisible by 4 like 84 is divisible by 4 hence 984 is divisible by 4.

5 0

3 years ago

Read 2 more answers

Which equation is the result of adding these two equations -2x+4y=17

Katyanochek1 [597]

The right answer is Option C.

Step-by-step explanation:

Given equations are;

-2x+4y=17 Eqn 1

3x-10y= -3 Eqn 2

Adding Eqn 1 and Eqn 2;

$(-2x+4y)+(3x-10y)=17+(-3)\\-2x+4y+3x-10y=17-3\\3x-2x-10y+4y=14\\x-6y=14$

The right answer is Option C.

Keywords: linear equations, addition

Learn more about linear equations at:

#LearnwithBrainly

4 0

2 years ago

Suppose a football player kicks a ball and gives it an initial upward velocity of 47 ft/s. Use the formula h(t)= -16t^2+47t+3 wh

statuscvo [17]

Answer:

Step-by-step explanation:

a. when t=0,h=3ft

$h(t)=-16 (t^2-\frac{47}{16}x+(\frac{47}{32} )^2)+\frac{47^2}{32^2} *16+3\\=-16(t-\frac{47}{32})^2+\frac{2209}{64}+3\\=-16(t-\frac{47}{32})^2+\frac{2209+192}{64}\\when~ t=\frac{47}{32}\\h=\frac{2301}{64}\\or~v^2-u^2=2gh\\\\0^2-47^2=2*(-32)h\\or h=\frac{47^2}{64}=\frac{2209}{64} \\height from the ground=\frac{2209}{64} +3=\frac{2301}{64}$

c.t=47/32 sec

time taken to fall 2301/64 ft=0*t+\frac{1}{2}*32*t^2

t^2=\frac{2301}{64*16}

t=\frac{\sqrt{2301}}{8*4}=\frac {47.97}{32}

total ~time=\frac{47+47.97}{32}=\frac{94.97}{32} sec

4 0

3 years ago

Help me please .....

Zielflug [23.3K]

Answer:

the transformed function will be: $\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}$

Step-by-step explanation:

We need to transform $f(x)=\sqrt{x}$ into g(x) using following translations

1) reflection in the x-axis

The reflection across x-axis will be:

$g(x)=-\sqrt{x}$

2) Horizontal shrink by a factor of 1/3

The horizontal shrink by a factor of 1/3 will make the function g(x)

$g(x)=-\sqrt{\frac{1}{3} x}$

3) Vertical translation up 2 units

The vertical translation up 2 units will make the function g(x)

$g(x)=-\sqrt{\frac{1}{3} x}+2$

So, the transformed function will be: $\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}$

8 0

2 years ago

HELP ME PLEASE!!!!!!!

MakcuM [25]

Given:

The graph of a line.

To find:

The equation of line and values of m and b. Check whether it is proportional or linear.

Solution:

From the given graph it is clear that, the line passes through (0,4) and (2,0). So, the equation of line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-4=\dfrac{0-4}{2-0}(x-0)$

$y-4=\dfrac{-4}{2}(x)$

$y-4=-2x$

Adding 4 on both sides, we get

$y=-2x+4$

On comparing this equation with slope intercept form, i.e., $y=mx+b$ , we get

$m=-2\text{ and }b=4$

All lines are linear. If a line passes through the origin then it is proportional.

From the given graph it is clear that the line is not passing through the origin, i.e., (0,0). So, it is linear not proportional.

Therefore, the value of m is -2 and the value of b is 4. The equation of line is $y=-2x+4$ . The line linear not proportional because it does not passing through the origin.

4 0

2 years ago