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katen-ka-za
2 months ago
6

Solve each equation for the indicated variable abc = 1/2; b

Mathematics
2 answers:
Zina [12.3K]2 months ago
6 0
Kindly rephrase your question so it is clear. Thank you and best wishes! :D
Zina [12.3K]2 months ago
0 0

First, divide both sides by b to get ac = \(\frac{1}{2b}\). Then multiply both sides by 2, leading to
2ac = \(\frac{1}{b}\).

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Evaluate. 58−(14)2=58-142= ________
Zina [12379]

In this scenario, we start with the following expression:

58- (14) ^ 2

The first step involves evaluating the quadratic component.

Next, we have:

58- (14) ^ 2 = 58-196

The following step is to subtract the two resultant values:

58- (14) ^ 2 = -138

It is clear that the outcome of this operation is a negative value.

Answer:

The expression results in:

58- (14) ^ 2 = -138

7 0
1 month ago
The graph of the function f(x) = (x – 4)(x + 1) is shown below. On a coordinate plane, a parabola opens up. It goes through (neg
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Answer:

The function decreases across all real numbers x where x < 1.5.

Step-by-step explanation:

We have

f(x)=(x-4)(x+1)

f(x)=x^2+x-4x-4

f(x)=x^2-3x-4

This represents an upward-opening vertical parabola

The vertex denotes a minimum point

The vertex is located at (1.5,-6.25)

We know that

The function is decreasing within the interval ----> (-∞, 1.5) x < 1.5

This means----> the function is continuously decreasing for all real x values under 1.5

Conversely, the function is increasing within the interval ----> (1.5, ∞) x> 1.5

Thus, for all real x values greater than 1.5, the function is increasing

Check the attached figure for further clarification

Therefore

The true statement is

The function decreases across all real numbers x where x < 1.5.

5 0
1 month ago
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A periscope is 5 feet above the surface of the ocean. Through it can be seen a ship that rises to 50 feet above the water. To th
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The maximum distance visible on Earth is calculated using the formula d=\sqrt{8,000h_1} + \sqrt{8,000h_2}

h_1= your initial height and h_2= your secondary height

In this case, h_1=5 represents the height of the periscope and h_2=50 denotes the height of the ship, leading us to a distance of 832.45553203368 feet. However, rounding to the nearest mile yields the answer as 11^a^0

If there are any discrepancies, please inform me and I will recalculate!

5 0
1 month ago
Wes and Libbie each surveyed groups of students to find whether they would prefer going to an art museum or to the zoo. Wes foun
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Answer:

A.

Step-by-step explanation:

7 0
1 month ago
In the figure, CD = EF and AB = CE. Complete the statements to prove that AB = DF.
Svet_ta [12734]

Answer:

1. Addition Property of Equality

2. Segment addition

3. Substitution Property of Equality.

4. Transitive Property of Equality.

Step-by-step explanation:

Given: CD = EF and AB = CE

To Show: AB = DF

Following the steps outlined:

1. CD + DE = EF + DE by the (addition) Property of Equality.

This shows that the same value has been added to both sides of the equation.

2. CE = CD + DE and DF = EF + DE through (segment addition).

This indicates that CE and DF are segments, and the length of any segment equals the total of its parts.

3. CE = DF according to the (Addition, subtraction, substitution, transitive) Property of Equality. Recognizing that CE = CD + DE and using the fact that CD = EF allows us to replace CD with EF.

So, CE = EF + ED = FD (via substitution) Property of Equality.

4. Since AB = CE and CE = DF, we can conclude AB = DF by the (transitive) Property of Equality.

This follows the rule that if x = y and y = z, then x = z.

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1 month ago
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