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3 years ago

The sum of a number times 9 and 30 is at least -28

Mathematics

1 answer:

Mars2501 [29]3 years ago

8 0

Answer:

9n + 30 ≥ -28

Step-by-step explanation:

Let the number be n. Then, symbolically, this statement is:

9n + 30 ≥ -28

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Please help me ASAP

stellarik [79]

Answer:

The Graph is shown below

Step-by-step explanation:

The Graph of a Function

Given the function:

$\displaystyle y=g(x)=-\frac{3}{2}(x-2)^2$

It's required to plot the graph of g(x). Let's give x some values:

x={-2,0,2,4,6}

And calculate the values of y:

$\displaystyle y=g(-2)=-\frac{3}{2}(-2-2)^2=-\frac{3}{2}(-4)^2==-\frac{3}{2}*16=-24$

Point (-2,-24)

$\displaystyle y=g(0)=-\frac{3}{2}(0-2)^2=-\frac{3}{2}(-2)^2=-\frac{3}{2}*4=-6$

Point (0,-6)

$\displaystyle y=g(2)=-\frac{3}{2}(2-2)^2=-\frac{3}{2}(0)^2=0$

Point (2,0)

$\displaystyle y=g(4)=-\frac{3}{2}(4-2)^2=-\frac{3}{2}(2)^2=-\frac{3}{2}*4=-6$

Point (4,-6)

$\displaystyle y=g(6)=-\frac{3}{2}(6-2)^2=-\frac{3}{2}(4)^2=-\frac{3}{2}*16=-24$

Point (6,-24)

The graph is shown in the image below

8 0

2 years ago

2(5x-7)=2x+10 what Is the distributive property

professor190 [17]

2(5x)2(-7)=2x+10

2(5x)= 10x
2(-7)=-14

10x-14=2x+10

Solve:
10x-2x=8x

8x-14=10

14+10=24

8x=24

24/8=3

X=3

4 0

3 years ago

F(x)=3 over x+2-x-3 squared what is f(7)

dimaraw [331]

Answer:

$f(7)=\frac{-5}{3}$ or $f(7)=-1.67$

Step-by-step explanation:

We are given the following function of x and we are to find the value of $f ( 7 )$ :

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

Substituting the given value (7) in the above function to get:

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

$f ( 7 )= \ frac{3}{7+2}-\sqrt{7-3}$

$f(7) = \frac { 3 } { 9 } - \sqrt { 4 }$

$f(7)=\frac{1}{3}-2$

$f(7)=\frac{1}{3}-\frac{6}{3}$

$f(7)=\frac{-5}{3}$ or $f(7)=-1.67$

7 0

3 years ago

If (x + 2) is a factor of x3 − 6x2 + kx + 10, k =

ch4aika [34]

Answer:

The value of k is -11

Step-by-step explanation:

If (x+2) is a factor of x3 − 6x2 + kx + 10:

Then,

f(x)=x3 − 6x2 + kx + 10

f(-2)=0

f(-2)=(-2)³-6(-2)²+k(-2)+10=0

f(-2)= -8-6(4)-2k+10=0

f(-2)= -8-24-2k+10=0

Solve the like terms:

f(-2)=-2k-22=0

f(-2)=-2k=0+22

-2k=22

k=22/-2

k=-11

Hence the value of k is -11....

5 0

3 years ago

Rashad walks 4 miles in 74 minutes. Express his rate as a simplified fraction

dem82 [27]

Answer:

2/37

Step-by-step explanation:

rate is 4/74 miles per minute, now both numerator and denominator can be divided by 2, so

4/74 = 2/37, which cannot be simplified further

4 0

3 years ago