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2 years ago

Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse.

Mathematics

1 answer:

Svet_ta [14]2 years ago

4 0

Answer:

1. Both forward and backward

2. Only forward

Step-by-step explanation:

The reason Statement 1 can be both forward and reverse is because is Bo and Mel are related then it will word forward and backward.

The reason Statement 2 can be only forward is because is the sprinklers are on then the grass is wet will work since it is saying ONLY the sprinklers are on. If it is reverse and the grass is wet if the sprinklers are ONLY on than that is false since if it rains than the grass can also be wet. So there are multiple ways that the grass can be wet hence the answers.

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Two of the steps in the derivation of the quadratic formula are shown below. Step 6: StartFraction b squared minus 4 a c Over 4

sergeinik [125]

Answer:

Step-by-step explanation:

From the step given step 6

(b² — 4ac) / 4a² = (x + b/2a)²

Mistake in question it is (x + b/2a)²

Step 7 given

±√(b² —4ac) /2a = x + b/2a

Mistake in question it is over 2a and not 1a.

1. The step taken from step 6 to step 7 is taking square roots of both sides

(b² — 4ac) / 4a² = (x + b/2a)²

Taking square of both sodes

√(b²—4ac) / √4a² = √(x + b/2a)²

√(b²—4ac) / 2a = x + b/2a

This is the required step 7.

Now, subtracting b/2a from both sides

√(b²—4ac) / 2a - b/2a= x + b/2a -b/2a

√(b²—4ac) / 2a — b/2a = x

(√(b²—4ac) — b)/2a = x

x = [—b ± √(b²—4ac)] / 2a

So, this is the required formula method

The discriminant is D = b²—4ac.

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2 years ago

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Lorena solved the equation 5k – 3(2k – ) – 9 = 0. Her steps are below. 5k – 6k + 2 – 9 = 0 –k – 7 = 0 –k = 7 k = Analyze Lorena’

Troyanec [42]

1 and 4 on edg

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2 years ago

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The pizza has an area of 78.5 in². What is the minimum width of a placemat that can be placed underneath it so that the pizza do

xz_007 [3.2K]

Answer:

The minimum width of the placemat is 10 inches.

Step-by-step explanation:

Let suppose that placemat has a square form, whose width must be at least equal to the diameter of the pizza, so that pizza does not touch the table. Hence, the following relationship is obtained:

$w = D$

Where:

$w$ - Width of the placemat, measured in inches.

$D$ - Diameter of pizza, measured in inches.

The area of the pizza, measured in square inches, is determined by this formula:

$A = \frac{\pi}{4} \cdot D^{2}$

The diameter is cleared afterwards:

$D = \sqrt{\frac{4\cdot A}{\pi} }$

If $A = 78.5\,in^{2}$ and $\pi = 3.14$ , then:

$D = \sqrt{\frac{4\cdot (78.5\,in^{2})}{3.14} }$

$D = 10\,in$

The minimum width of the placemat is 10 inches.

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2 years ago

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A water well is being drilled in the desert where soil is either rock, clay, or sand. Probability of rock P(R) = 0.42, probabili

andrezito [222]

We are asked to solve for:

P (sand | positive)

So, we solve this by:

P (sand | positive) = P (sand) x P (positive for sand)

P (sand | positive) = 0.26 (0.75)

P (sand | positive) = 0.195

The probability is 0.195 or 19.5%.

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2 years ago

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Which graph shows the solution to the system of linear inequalities?

ICE Princess25 [194]

Answer:

x = 6 ; Rewritten: 2x-3y-12=0 ; y=-4

Step-by-step explanation:

2x-3 multiply 0=12

x=6 ( that's the function)

Rewritten steps: 2x-3y=12 then move constant to the left by adding its opposite to both sides which gives you 2x-3y-12=12-12. After the sum of two opposites equals 0 which is 2x-3y-12=0

Y Intercept :

2x-3y=12 and to find y intercept, sub x = 0 ; to 2 multiply 0 -3y=12 and then you solve for the equation which is your answer.

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2 years ago

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