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2 years ago

Identify the property: 15(1) = 15

Mathematics

2 answers:

Ber [7]2 years ago

6 0

Multiplicative identity

anygoal [31]2 years ago

5 0

Multiplicative indentity

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Use technology to create an appropriate model of the data.

Citrus2011 [14]

Answer:

f(x) = 3x - 3

Step-by-step explanation:

Plug into TI-83/84 calculator.

Hit STAT

Hit EDIT

X-Values go in for L1

Y-Values go in for L2

Hit STAT

Scroll over to CALC

Hit #4 for LinReg (Finds line of best fit)

Enter all the way through

A is your slope

B is your y-intercept

7 0

2 years ago

Read 2 more answers

Some of the steps in the derivation of the quadratic formula are shown.

Leokris [45]

Answer:

(C)The square root of terms separated by addition and subtraction cannot be calculated individually.

Step-by-step explanation:

In Step 7:

$\dfrac{\pm\sqrt{b^2-4ac} }{2a} =x+\dfrac{b }{2a}$

The expression $\pm\sqrt{b^2-4ac}$ cannot be written as $b \pm\sqrt{4ac}$ . This is as a result of the fact that square roots of terms separated by addition and subtraction cannot be calculated individually.

Take these examples:

$\sqrt{9-4} =\sqrt{5} \\\sqrt{9}-\sqrt{4}=3-2=1\\ $Clearly \sqrt{5}\neq 1\\$Similarly\\\sqrt{9+4} =\sqrt{13} \\\sqrt{9}+\sqrt{4}=3+2=5\\ $Clearly \sqrt{13}\neq 5\\$

8 0

2 years ago

Read 2 more answers

Examine the diagram and information to answer the question. Square ABCD has vertices at A(−2,1), B(2,7), C(8,3), and D(4,−3). Ho

BigorU [14]

Answer:

Option (1)

Step-by-step explanation:

Coordinates of the vertices are A(-2, 1), B(2, 7), C(8, 3) and D(4, -3)

Since ABCD is a square,

Perimeter of a square = 4 × (length of a side)

= 4 × (AB)

Formula to calculate the distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ is,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Therefore, distance between two points A(-2, 1) and B(2, 7) will be,

AB = $\sqrt{(2+2)^2+(7-1)^2}$

AB = $\sqrt{4^2+6^2}$

AB = $\sqrt{52}$

AB = $2\sqrt{13}$

Now area of square ABCD = 4 × $2\sqrt{13}$

= $8\sqrt{13}$ unit

Therefore, option (1) will be the answer.

7 0

2 years ago

In Raphael's class there are 14 boys and 10 girls. Select whether each statement is true or false.

SpyIntel [72]

Answer:

TRUE

FALSE

BOZO WHAT ARE STOPPPIDDD LIKE ARE YOU FROM NEW YORK EVEN

Step-by-step explanation:

6 0

3 years ago

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Consider the function below. f(x)= x^3 + 2x^2 - x - 2 plot the x and y intercepts of the function

dimulka [17.4K]

In the Figure below is shown the graph of this function. We have the following function:

$f(x)=x^3+2x^2-x-2$

The $y-intercept$ occurs when $x=0$ , so:

$f(0)=(0)^3+2(0)^2-(0)-2=-2$

Therefore, the $y-intercept$ is the given by the point:

$\boxed{(0,-2)}$

From the figure we have three $x-intercepts$ :

$\boxed{P_{1}(-2,0)} \\ \boxed{P_{2}(-1,0)} \\ \boxed{P_{3}(1,0)}$

So, the $x-intercepts$ occur when $y=0$ . Thus, proving this:

$f(x)=x^3+2x^2-x-2 \\ \\ For \ P_{1}:\\ If \ x=-2, \ y=(-2)^3+2(-2)^2-(-2)-2=0 \\ \\ For \ P_{2}:\\ If \ x=-1, \ y=(-1)^3+2(-1)^2-(-1)-2=0 \\ \\ For \ P_{3}:\\ If \ x=1, \ y=(1)^3+2(1)^2-(1)-2=0$

7 0

3 years ago

Read 2 more answers