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4 years ago

What is the value of the expression below when y = 8? Y^2 - y - 2

Mathematics

2 answers:

erik [133]4 years ago

6 0

Answer:

Step-by-step explanation:

y^2 - y- 2; y=8

8² - 8 - 2

64 - 10

BARSIC [14]4 years ago

5 0

Answer

Step-by-step explanation:

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Graph the point (−1, 5/2) on the coordinate plane.<br><br> PLEASE HELP ASAP

drek231 [11]

Answer: screenshot below

Step-by-step explanation:

-1 means 1 space left from 0 on the x axis

5/2 means 5/2 spaces above 0 on the y axis

i converted 5/2 to 2 1/2 to make it easier and plotted the point by drawing a line from -1 and 2 1/2 (this is not needed for the showing of the answer)

the point is where the lines connect, aka (-1, 5/2)

4 0

3 years ago

Point C is the midpoint of AB.point A has coordinates (2,4)and point C has coordinates (5,0) what are the coordinates of point B

devlian [24]

Answer:

The coordinates of point B is (8,-4)

Step-by-step explanation:

Midpoint of a line segment: It is the point on the line segment that divides the segment in two congruent segments.

Since it is given that C is the midpoint of Line segment AB.

Mid-point of a segment of end points $A(x_{1},y_{1})$ and $B(x_{2},y_{2})$ is, C= $(\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2})$ .

As, given the coordinates of A and C are (2,4) and (5,0)

then, we have $x_{1}=2$ , $y_{1}=4$ ; $\frac{x_{1}+x_{2}}{2}=5$ and $\frac{y_{1}+y_{2}}{2}=0$

to find the coordinates of $B(x_{2},y_{2})$ .

$\frac{2+x_{2}}{2}=5$

Simplify:

$2+x_{2}=10$

⇒ $x_{2}=8$

to solve for $y_{2}$ we have, $\frac{y_{1}+y_{2}}{2}=0$

or $y_{1}+y_{2}=0$

or $y_{2}= -y_{1}$ = -4

so, the values of $x_{2}=8$ and $y_{2}=-4$

Therefore, the coordinates of point B is (8,-4)

3 0

3 years ago

Question 3 of 10

iragen [17]

Answer:

Question 3 of 10 The answer should be 7

Step-by-step explanation:

The reason is because if it is out of 100 7/100 is still 7%

6 0

3 years ago

1. A student invests $500 in a savings account that earns 4% interest per

bixtya [17]

Answer:

The equation can be used to determine the amount of money S(t) that her savings account has after t years is $S(t)=500(1.04)^t$

Step-by-step explanation:

A student invests $500 in a savings account

Principal = $500

Rate of interest = 4% = 0.04

We are supposed to find equation can be used to determine the amount of money S(t) that her savings account has after t years

Formula : $A=P(1+r)^t$

Where A is the amount after t years =S(t)

t = time

r = rate of interest in decimals =0.04

P = Principal=500

Substitute the value in the formula :

So, $S(t)=500(1+0.04)^t$

$S(t)=500(1.04)^t$

Hence The equation can be used to determine the amount of money S(t) that her savings account has after t years is $S(t)=500(1.04)^t$

6 0

4 years ago

What function do you know from calculus is such that its first derivative is itself? Its first derivative is a constant multiple

marta [7]

Answer:

First Part:

exponential function $e^t$ is the one whose first order derivative is the function itself.

Second Part:

$y=ce^{At}\\y'=Ay$

Third Part:

$y=ce^t\\y'=ce^t\\y'=y$

Step-by-step explanation:

First Part:

In calculus exponential function $e^t$ is the one whose first order derivative is the function itself.

Where:

t is independent variable.

Derivative is represented as:

$y=ce^t\\y'=\frac{d(ce^t)}{dt} \\y'=ce^t\\y'=y$

Where:

c is any number.

Second Part:

Consider the constant A.

The function will become:

$y=ce^{At}\\y'=\frac{d(ce^{At})}{dt} \\y'=cAe^{At}\\y'=Ay$

Third Part:

Derivative is represented as:

$y=ce^t\\y'=\frac{d(ce^t)}{dt} \\y'=ce^t\\y'=y$

Where:

c is any number.

4 0

4 years ago