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3 years ago

Solve the inequality. 5(a – 5) > 25 a < 30 a > 30 a > 5 a > 10

1 answer:

7 0

Divide both sides of the inequality by 5 to give an answer of a - 5 > 5. Group all the variables and constants to opposite sides of the inequality. For this given,
a > 5 + 5
which simplifies into a > 10. Thus, the answer is the fourth choice.

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What number gives a result of −5 when 9 is subtracted from the quotient of the number and 6?

My name is Ann [436]

Answer:

Step-by-step explanation:

If it gives a result of -4 then our equation will have .... = -4

If we subtract 9 from the quotient of a number and 5 we have x/5 - 9

Our equation is:

x/5 - 9 = -4 add 9 to both sides

x/5 = -4 + 9

x/5 = 5 multiply both sides by 5

x = 5(5)

x = 25

Check: 25/5 - 9 = 5-9 = -4

Answer checks as correct from information given

8 0

2 years ago

What is the vertex of y=-3x^2+6x+15? Help is much appreciated.

DENIUS [597]

Answer:

(1, 18)

Step-by-step explanation:

Rewrite the equation in vertex form by completing the square for -3x^2 + 6x + 15. This = -3(x - 1)^2 + 18.

Set y equal to the new right side.

y = -3(x - 1)

Use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.

a = -3

h = 1

k = 18

Vertex = (h, k) / (1, 18)

5 0

3 years ago

Can anyone please help me with this? i need a step by step explanation please! very appreciated:)

EastWind [94]

Answer:

Step-by-step explanation:

x and y are variables. That means they represent numbers that are unknown. When we solve for x or y, we are trying to find what number the variable represents.

Y is a number that equals both 5x-9 and 3x+7. If it is a number, it can only have one value, so we can say that 5x-9 and 3x+7 have the same value.

In other words, 5x-9 = 3x+7.

Another way of thinking about this step is substitution. y=3x+7, so in the equation y=5x-9, we can replace the y with 3x+7. It will give 3x+7 = 5x-9.

In either case, we have this new equation

5x-9 = 3x+7.

From here it's just simple algebra- subtract 3x from each side

2x -9 = 7

and add 9 to each side

2x = 16

and divide each side by 2.

x = 8.

All these steps work because if two things equal each other, when you do the same thing to both of them (such as add 9), the new values will still equal each other.

Now that we know that x = 8, we can take one of the original equations

y=5x-9

and put 8 in for x.

y=5*(8) -9.

If x represents the value 8, we can obviously switch out x for 8.

Now simplify

y=40 -9

y = 31

Now we know that x = 8 and y = 31.

5 0

2 years ago

Read 2 more answers

− 0.25(−8+12) PLS HELP I HAVE A TESTTTT

Semmy [17]

Answer: -1

Step-by-step explanation:

− 0.25(−8+12) = -0.25 x 4 =-1

3 0

3 years ago

On the grid, sketch a graph to represent

Greeley [361]

Answer:

Please find attached, the required graph created on MS Excel

Step-by-step explanation:

The distance between Sandy's house and the school = 200 m

The number of minutes Sandy talked to her friend for = 10 minutes

The time it took Sandy to return home to pick her homework = 5 minutes

Let x represent Sandy's location she stops to talk to her friend 10 minutes, we have;

The slope of the motion on the graph, m₁ = (x - 0)/(t - 0)

The slope of her motion running home to pick the up her homework, m₂ = (x - 0)/(5 - 0)

Given that t > 5, the slope on trip back home, m₁, is larger than are her initial slope, m₂

Therefore, where x = 125, we have;

The rate at which she returned home = m₂ = (125 m - 0)/(5 min - 0) = 25 m/min

Given that the same rate m₂ is what she used in heading back to school, we have;

The time it takes her to get to school = 200 m/(25 m/min) = 8 minutes

Therefore, whereby it took her 10 minutes to reach point x, we have the following coordinate points on the graph in a tabular form;

$\begin{array}{ccc} Time \ (minutes) \ x-axis&&Distance \ (meters) \ y-axis\\0&&0\\10&&25\\15&&0\\23&&200\end{array}$

The plot of the above point is completed using MS Excel as shown in the attached diagram.

7 0

2 years ago