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Diano4ka-milaya [45]
3 years ago
8

Solve the Absolute Value Equation below. 8lx+7l - 3 = 5

Mathematics
1 answer:
Eva8 [605]3 years ago
7 0
The answer is X= -6 , -8 I believe
You might be interested in
5
nika2105 [10]

Answer:

idk

Step-by-step explanation:

8 0
3 years ago
How do I answer this question pls help me
n200080 [17]

Answer:

  14.7 quarts

Step-by-step explanation:

Use the given equivalence figures to write a proportion. Solve the proportion for the unknown value.

__

  quarts/liters = x/14 = 1/0.95 . . . . . the conversion is given as 1 qt = 0.95 L

Multiply by 14 to find x.

  x = 14(1/0.95) ≈ 14.7

There are about 14.7 quarts in 14 liters.

_____

<em>Additional comment</em>

You are given a value in liters (14 liters) and asked for the equivalent in quarts. That means you want to change the units from liters to quarts. To do that, you can multiply the given value (14 liters) by a conversion factor that has quarts in the numerator and liters in the denominator. That is what the fraction 1/0.95 is in the above. You will note that units of liters cancel in this equation.

  (14\text{ liters})\times\dfrac{1\text{ quart}}{0.95\text{ liter}}=\dfrac{14}{0.95}\text{ quarts}\approx14.7\text{ quarts}

This rule, "use a conversion factor that divides by the units you don't want and multiplies by the units you do want" applies to any units conversion problem. The conversion factor you use should <em>always</em> have <em>equal quantities</em> in the numerator and denominator. (Here, the equal quantities are 1 quart and 0.95 liters.)

You will notice that we treat units just like any variable. They can be multiplied, divided, cancelled, raised to a power. Only terms with like units can be added or subtracted.

4 0
2 years ago
It takes Ivanna 3 minutes to complete 2 problems on her math homework . How long will it take Ivanna to complete 12 problems?
IRINA_888 [86]
18 minutes because 6*2 is 12 and 3*6 is 18. it will take 6 minutes to do 4 problems, 9 minutes to do 6 problems , 12 minutes to do 8 problems, 15 minutes to do 10 problems, and 18 minutes to do 12 problems
7 0
3 years ago
Read 2 more answers
The thumb length of fully grown females of a certain type of frog is normally distributed with a mean of 8.59 mm and a standard
PilotLPTM [1.2K]

Answer:

21.77% probability that a randomly selected frog of this type has thumb length longer than 9.08 mm.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 8.59, \sigma = 0.63

Calculate the probability that a randomly selected frog of this type has thumb length longer than 9.08 mm.

This is 1 subtracted by the pvalue of Z when X = 9.08. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{9.08 - 8.59}{0.63}

Z = 0.78

Z = 0.78 has a pvalue of 0.7823

1 - 0.7823 = 0.2177

21.77% probability that a randomly selected frog of this type has thumb length longer than 9.08 mm.

8 0
3 years ago
Which equations and/or functions represent the graphed line? Select four options. f(x) = 0.2x - 4
Vanyuwa [196]

Answer:

f(x) = 0.2x - 4  (incorrect)

f(x) = 0.5x + 2  (correct)

f(x) = 1/2x + 2      (correct)

y – 3 = 1/2(x – 2)     (correct)

y – 1 = 0.5(x + 2)

Step-by-step explanation:

<em>Step 1 : Find two coordinates</em>

(0, 2) (-4, 0)

<em>Step 2 : Find the slope</em>

Slope = m = Y2-Y1/X2-X1

m = 0-2/-4-0

m = -2/-4

m = 1/2 or 0.5

<em>Step 3 : Find the y-intercept</em>

Y-intercept is where the line intersects the y-axis

c = 2

<em>Step 4 : Form the equation y=mx + c</em>

<em>Given Equations and their slope intercept forms:</em>

1) f(x) = 0.2x - 4

This is incorrect because slope is 1/2 or 0.5 and y intercept is 2

2) f(x) = 1/2x + 2

y = 1/2x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

3) f(x) = 0.5x + 2

y= 0.5x + 2 (As m=0.5)

This is correct because slope is 1/2 or 0.5 and y intercept is 2

4) y – 3 = 1/2(x – 2)

Rearranging in slope intercept form:

y-3=1/2x - 1

y = 1/2x-1+3

y = 1/2x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

5) y – 1 = 0.5(x + 2)

y -1 = 0.5x+1

y = 0.5x +1+1

y = 0.5x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

!!

6 0
3 years ago
Read 2 more answers
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