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Gwar [14]
3 years ago
13

What is the value of the expression below when a =−3, b =2, and c = −4 ?∣a2−2ac+5c? l

Mathematics
1 answer:
olchik [2.2K]3 years ago
3 0

Answer:

<em>Value</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>expression</em><em> </em><em>is</em><em> </em><em> </em><em>-35</em>

Step-by-step explanation:

Given \: expression \: is \\ {a}^{2}  - 2ac + 5c \\ values \: are \: a =  - 3 \:  \ \:  \:  \:  b = 2 \:  \:  \:  \: c =  - 4 \\ on \: substituting \: the \: values \ \\ in \: the \: given \: expression \\  { - 3}^{2}  - 2( - 3)( - 4) + 5( - 4) \\  = 9 - 24 - 20 \\    =  - 35

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

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What is the volume of a box with a height of 3/2 inches, a length of 7/2 inches, and a width of 5/2 inches.
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Answer:

13.125 cubic inches

Step-by-step explanation:

Volume of box is 3/2 X 7/2 X 5/2 = 105/8 = 13 1/8 = 13.125 cubic inches  

4 0
3 years ago
The temperature when Spencer arrived at school was a very chilly
nekit [7.7K]

9 degrees. -4 + 13= 9.

6 0
2 years ago
Mr. Pham wrote the equation below on the board. 18 - 7x = -20.5 What is the value of x?
slavikrds [6]
Use the arithmetic operations to get the variable x on one side of the equation and everything else on the opposite side.

If something is being is being done to a variable, we undo that operation by using the inverse of that operation.

For example, if 10 is being added to x, we use the inverse of addition or subtraction.

18 - 7x = -20.5

We variable x is being multiplied by 7 and is subtracting 18. We need to undo all those operations.

18 - 7x = -20.5
-7x = -38.5

Now the variable is only being multiplied by -7. Reverse the operation.

-7x = -38.5
x = 5.5

So, x is equal to 5.5.
7 0
3 years ago
Read 2 more answers
A group of high school athletes has an average GPA of 2.7 with a standard deviation of 0.9. a)Find the percentage of athletes wh
mart [117]

Answer:

a) The percentage of athletes whose GPA more than 1.665 is 87.49%.

b) John's GPA is 3.645.

Step-by-step explanation:

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 = 2.7, \sigma = 0.9

a)Find the percentage of athletes whose GPA more than 1.665.

This is 1 subtracted by the pvalue of Z when X = 1.665. So

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

Z = \frac{1.665 - 2.7}{0.9}

Z = -1.15

Z = -1.15 has a pvalue of 0.1251

1 - 0.1251 = 0.8749

The percentage of athletes whose GPA more than 1.665 is 87.49%.

b) John's GPA is more than 85.31 percent of the athletes in the study. Compute his GPA.

His GPA is X when Z has a pvalue of 0.8531. So it is X when Z = 1.05.

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

1.05 = \frac{X - 2.7}{0.9}

X - 2.7 = 1.05*0.9

X = 3.645

John's GPA is 3.645.

8 0
3 years ago
In triangle ABC if angle a - angle b = 63 degree and angle b - angle c = 18 degree find angle b
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Angle B is 45, angle A is 108, angle C is 27

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