Pls help. the options are a. -1.5 b. -2 c. 8 d. -21 e. 14 f. 6

For what value of x does 3 Superscript 2 x Baseline = 9 Superscript 3 x minus 4?

Natalka [10]

Answer: B
Hope this helps

8 0

3 years ago

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Find the length of one edge of the cube. Edge length = Answer inches

ycow [4]

Volume

V = l³

length (inverse formula)

l = ∛512

l = 8 in (your answer)

5 0

3 years ago

One zero of the polynomial function f(x) = x3 − 9x2 + 20x is x = 0. What are the zeros of the polynomial function? 0, −5, −4 0,

jeyben [28]

Answer:

Step-by-step explanation:

As x = 0 is a zero, (x + 0) is a factor.

Dividing the equation by (x + 0) leaves x² - 9x + 20.

Factoring this polynomial

x² - 9x + 20 = (x - 4)(x - 5)

x - 4 = 0

x = 4

x - 5 = 0

x = 5

The zeros are at 0, 4, and 5.

Which can be verified by using a plotting calculator.

3 0

2 years ago

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Kite EFGH is inscribed in a rectangle where F and H are midpoints of parallel sides. The area of EFGH is 35 square units. What i

sasho [114]

*see attachment for the figure described

Answer:

5 units

Step-by-step explanation:

==>Given the figure attached below, let where FH and EG intercepted be K.

Since FH are midpoints of parallel lines, KE = KG = x.

Given that the area of the kite EFGH = 35 square units, and we know the length of one of the diagonals = HF = KF + KH = 2 + 5 = 7, we can solve for x using the formula for the area of a kite.

Area of kite = ½ × d1 × d2

Where d1 = KH = 7

d2 = EG = KE + KG = x + x = 2x

Area of kite EFGH = 35

THUS:

35 = ½ × 7 × 2x

35 = 1 × 7 × x

35 = 7x

Divide both sides by 7

35/7 = x

x = 5

4 0

3 years ago

Researchers at a pharmaceutical company have found that the effective time duration of a safe dosage of pain relief drug is norm

FrozenT [24]

Answer:

a) $P(1$

b) $P(X$

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Part a

Let X the random variable that represent the duration of a safe dosage of pain relief drug, and for this case we know the distribution for X is given by:

$X \sim N(1.5,0.8)$