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Lilit [14]
3 years ago
12

1. Evaluate each algebraic expression.

Mathematics
1 answer:
almond37 [142]3 years ago
7 0

Answer:

-11, 4, and 22

Step-by-step explanation:

Expression: 3b-5

when b=-2

Expression: 3(-2)-5=-11

When b=3

Expre; 3(3)-5=4

When b=9

Expre; 3(9)-5=22

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Find a number C such that the polynomial p(x)= -x+4x^2+Cx^3-8x^4
Ksenya-84 [330]

Answer:

C = 2

Step-by-step explanation:

p(x)= -x+4x^2+Cx^3-8x^4 \\  \\  \because \: given \: polynmial \: has \: zero \: at \: \\x =  \frac{1}{4}  \\  \\  \implies \: p\bigg(\frac{1}{4}  \bigg) = 0...(1) \\  \\ plug \: x = \frac{1}{4} \:  in \: p(x) \: we \: find \\  \\ p \bigg(\frac{1}{4}  \bigg)  =  - \frac{1}{4} + 4  {\bigg(\frac{1}{4} \bigg)}^{2}  + c  {\bigg(\frac{1}{4} \bigg)}^{3}  - 8  {\bigg(\frac{1}{4} \bigg)}^{4}  \\  \\ 0 = - \frac{1}{4} + \cancel 4 \times   {\frac{1}{\cancel{16} } }  + c  {\bigg(\frac{1}{64} \bigg)}  - \cancel 8  \times  \frac{1}{\cancel{256} }  \\  \\0 =\cancel{ - \frac{1}{4}} + \cancel  {{\frac{1}{4} }}  + c  {\bigg(\frac{1}{64} \bigg)}  -  \times  \frac{1}{32}  \\  \\0 =  c  {\bigg(\frac{1}{64} \bigg)}  -  \frac{1}{32}  \\  \\c  {\bigg(\frac{1}{64} \bigg)} = \frac{1}{32}   \\  \\ c = \frac{1}{32}   \times 64 \\  \\ c = 2

5 0
3 years ago
Help me please I need help!!!!
marta [7]

Answer:

Answer B (proportional)

Step-by-step explanation:

The variable y and x are related by the constant of proportionality "6" in the expression

y = 6 x

Such means that if x adopts whatever value, y is always proportional to that x-value, by the multiplicative factor 6.

y is proportional to x via the proportionality constant (it has to be always a multiplicative constant) "6"

6 0
3 years ago
If a histogram is right skewed, which will be greater the mean or the median? Type a single word answer in the space
Mandarinka [93]

Answer:

Mean is greater

Step-by-step explanation:

For a skewed distribution, then the tail is longer to one side from the center than to the other. In a right skewed distribution, the tail is longer to the right.

When a distribution is skewed, the mean will be closer to the tail Than the median. Therefore. For a right skewed histogram, the mean is closer to the tail of the histogram and hence closer to the right. Once this happens, values closer to the right of a distribution are higher (number line). Thus the mean will be greater than the median.

8 0
3 years ago
What is the equation for the line? enter your answer in the box
Igoryamba
To get the equation of the line, you need two points that belong to this line.
From the given graph, we can choose any two points: (0,-4) and (-2,0)

The general for of the linear straight line is:
y = mx + c where m is the slope and c is the y-intercept

First, we will calculate the slope using the following rule:
slope = (y2-y1) / (x2-x1)
slope (m) = (0--4) / (-2-0) = 4/-2 = -2
The equation of the line now is: y = -2x + c

Then, we will get the value of the c. To do so, we will choose any point and substitute in the equation. I will choose the point (0,-4)
y = -2x + c
-4 = -2(0) + c
c = -4

Based on the above calculations, the equation of the line is:
y = -2x - 4
7 0
3 years ago
Adam wrote a check for $38 to pay his monthly gas bill, but when balancing his checkbook, he accidentally recorded it as credit
andriy [413]

Answer: the balance in his check register will be $76 over the balance on his bank account

7 0
3 years ago
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