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2 years ago

What is the vertex of the graph of the function f(x) = x² + 8x - 2?

Mathematics

1 answer:

chubhunter [2.5K]2 years ago

6 0

Answer:

(4, -18)

Step-by-step explanation:

First Use this formula for the x -axis -b/2a

-8/2(1) is -4

Then plug in -4 to the equation

(-4)^2+8(-4)-2 = -18

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F(x) = -8x+20; 5-2 [ f(-1)]

ExtremeBDS [4]

Solve the equation.

m+34=m−6

Enter the correct answer in the box.

6 0

3 years ago

Need help with Geography #10 true or false and explain <1 and <2 are supplementary?

Slav-nsk [51]

False. Supplementary angles have to add up to 180 degrees, and that is clearly not a flat line lol

7 0

3 years ago

You bought 50 shares of stock at $55 per share and sold them for $61 per share. The sale involves a broker’s commission of $0.30

malfutka [58]

Answer:

The profit made is;

b) $285)

Step-by-step explanation:

The given parameters are;

The number of shares bought, n = 50

The price each share is bought, CP = $55

The amount at which each share is sold, SP = $61

The amount the broker received per share, E = $0.30

Therefore, the amount of profit, 'P', is given as follows;

P = n × (SP - CP - E)

By substituting the values for the variables, we have;

P = 50 × (61 - 55 - 0.3) = 285

The amount made as profit, P = $285.00.

6 0

3 years ago

Please help. Thanks <3

4vir4ik [10]

The answer would be A.
Deena is correct because that is not a rational number
Irrational numbers are numbers that are crazy and don’t have an end to them. Example would be pi because it goes on forever and ever. But it you have something that is straight to the point like 2.3 or -4/7 these are RATIONAL because they have an end and are “contained”, this goes for numbers that are repeating too.. if you have like 2.3repeating, then this is also rational because you know what the number is, and it is consistent.
I hope this helps explain rational and irrational a little better :)

6 0

3 years ago

Read 2 more answers

In a football tournament, the Bees scored 9 less than three times as many points as the Hornets. The Wasps scored 28 more points

Alinara [238K]

Answer:

The Bees scored 90 points.

Explanation:

First, let's prove that the equation is correct.

To create the equation, you translate the verbal statements into algebraic expressions.

Since, it is said that x respresents the number of points scored by the Hornets, that is your variable and all the verbal statements will be translated using x:

a) NUmber of points scored by the Hornets: x

b) The Bees scored 9 less than three times as many points as the Hornets ⇒v3x - 9

c) The Wasps scored 28 more points than the Hornets ⇒ x + 8

d) Together the three teams scored 184 points ⇒

x + (3x - 9) + (x + 28) = 184

Which indeed is the given equation: (3x – 9) + x + (x + 28) = 184

Now, complete the steps to show it, in the same order given:

1. Combine like terms.

Remove the parenthesis: x + 3x - 9 + x + 28 = 184

Combine the terms on x on the left: x + 3x + x = 5x

Combine the constants on the left: - 9 + 28 = 19

Write the result: 5x + 19 = 184

2. Use the subtraction property of equality.

Subtract 19 from both sides: 5x + 19 - 19 = 184 - 19

Due the operations: 5x = 165

3. Use the division property of equality. 4.

Divide both sides by 5: (5x / 5) = 165 / 5

Due the operations: x = 33

4. Use the variable to answer the question. How many points did the Bees score?

The expression for the points scored by the Bees is 3x - 9, so substitute x in that expression: 3 (33) - 9 = 99 - 9 = 90.

Answer: the Bees scored 90 points.

4 0

3 years ago

Read 2 more answers