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iragen [17]
2 years ago
14

-7n - 15 ≥ 21? n ≥ -4 n ≥ 7.2 n ≤ -4 n ≤ 4

Mathematics
1 answer:
ollegr [7]2 years ago
7 0

               - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

\diamond\large\textsf{\textbf{Question:-}}}}

-7n-15≤21. find n

\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}

 ❖ Add 15 to both sides:-

      -7n≤21+15

        -7n≤36

❖ Now divide by -7 on both sides:-

               n≥-5.14 or

                n≥-5

The inequality sign changed because we divided both sides by a negative number.

<h3>Good luck.</h3>

        - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - - - -

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(x - 1)2 = 4<br> how do i do this
Gnoma [55]

Answer:

x = 3

Step-by-step explanation:

(x - 1)2 = 4

how to get this solved is very simple.

first step to apply is the BODMAS RULE

B..................... bracket

O..................... of

D.....................Division

M.................... multiplication

A..................... addition

S.................... Subtraction

so (x - 1)2 = 4

we have,

2x - 2 = 4 ( by opening the bracket)

collect the like terms

2x = 4+2

divide both sides by 2

2x/2 = 6/2

x = 3

to check if your answer is correct put the value of x = 3 into the question and see if the right hand side will equal to the left handside

(x - 1)2 = 4

(3-1)2=4

2(2)=4

4=4.............................. proved

8 0
4 years ago
The blue dot is at what value on the number line?<br> -7<br> -3<br> ?
Rasek [7]

Answer:

The blue dot represents the absolute value of the number occupied by red dot.

7 0
3 years ago
Hi boys can you help me pls!!!!!!!
goblinko [34]

Answer: OPTION A.

Step-by-step explanation:

Given the following function:

h(x)=-\frac{1}{4}x^2+\frac{1}{2}x+\frac{1}{2}

You know that it represents the the height of the ball (in meters) when it is a distance "x" meters away from Rowan.

Since it is a Quadratic function its graph is parabola.

So, the maximum point of the graph modeling the height of the ball is the Vertex of the parabola.

You can find the x-coordinate of the Vertex with this formula:

x=\frac{-b}{2a}

In this case:

a=-\frac{1}{4}\\\\b=\frac{1}{2}

Then, substituting values, you get:

x=\frac{-\frac{1}{2}}{(2)(-\frac{1}{4}))}\\\\x=1

Finally, substitute the value of "x" into the function in order to get the y-coordinate of the Vertex:

h(1)=y=-\frac{1}{4}(1)^2+\frac{1}{2}(1)+\frac{1}{2}\\\\y=0.75

Therefore, you can conclude that:

<em> The maximum height of the ball is 0.75 of a meter, which occurs when it is approximately 1 meter away from Rowan.</em>

7 0
3 years ago
Can someone help me answer these two questions
andrew11 [14]

Answer:

C) 7=y=5x+11

B) m=-4/5, b=13/5

Step-by-step explanation:

<u>Problem 1:</u>

A function is linear if its slope is constant and/or its graph is straight (that means 1-degree polynomials only). Therefore, C is the only correct answer.

<u>Problem 2:</u>

Convert to slope-intercept form (y=mx+b):

4x+5y=13

5y=13-4x

y=13/5-4/5x

y=-4/5x+13/5

Now we can see that since the original equation is in slope-intercept form (y=mx+b), the slope, m, is -4/5, and the y-intercept, b, is 13/5, making option B the correct answer.

8 0
3 years ago
Is this true or false? The following graph represents a proportional relationship
Flauer [41]

Answer:

True

Step-by-step explanation:

6 0
3 years ago
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