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3 years ago

The solution set for -p^2 − 11p = 0 is

2 answers:

mihalych1998 [28]3 years ago

7 0

There are two solutions. If you factor a -p out of the equation, you can easily see this. (-p)(p + 11) = 0. The values of p that make this true are 0 and -11.

{0, -11}

alexdok [17]3 years ago

7 0

Answer:

the solution set is {0,-11}

Step-by-step explanation:

The equation is $-p^2-11p=0$

The GCF of the left hand side of the expression is -p. Hence, factored out the GCF

$-p(p+11)=0$

Now, apply the zero product property, we get

$-p=0,p+11=0$

Now, solve the equations for p

$p=0,p=-11$

Thus, the solution set is {0,-11}

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The midpoint of overline AB is M(-4, -7). If the coordinates of A are (−7,−6), what are the coordinates of B?

kumpel [21]

<h3>Answer:</h3>

$\boxed{\boxed{\pink{\bf \leadsto The \ co-ordinate\ of \ B \ is \ ( -1, -8) }}}$

<h3>Step-by-step explanation:</h3><h3 />

Given that, The midpoint of overline AB is M(-4, -7). If the coordinates of A are (−7,−6). And we need to find the coordinates of B. We know Midpoint formula is :-

$\large\boxed{\red{\bf Midpoint = \bigg( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2}\bigg) }}$

Let the co ordinates of B be (x , y ) .

Now , on substituting the respective values ,we have :-

$\bf\implies Midpoint = \bigg( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2}\bigg) \\\\\bf \implies (-4,-7) = \bigg( \dfrac{x -7}{2} , \dfrac{y-6}{2}\bigg) \\\\\bf \implies \dfrac{x -7}{2} = (-4) \\\\\bf \implies x - 7 = -8 \\\\\bf\implies x = -8+7 \\\\\boxed{\red{\bf \implies x = (-1) }}$

$\implies \bf \dfrac{y-6}{2} = -7 \\\\\bf\implies y-6=-14 \\\\\bf\implies y = 6 - 14 \\\\\boxed{\red{\bf\implies y = -8}}$

Hence the value of x coordinate is (-1) and y - coordinate is (-8) .

<h3>Hence the coordinate of B is (-1,-8) </h3>

5 0

3 years ago

mart [117]

-7.5,-6,-3,-1,1,2 is the answer

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4 years ago

Use Newton's method with initial approximation x1 = 1 to find x2, the second approximation to the root of the equation x4 − x −

drek231 [11]

Answer:

$x_{2} = 0.0000$

Step-by-step explanation:

The formula for the Newton's method is:

$x_{i+1} = x_{i} + \frac{f(x_{i})}{f'(x_{i})}$

Where $f' (x_{i})$ is the first derivative of the function evaluated in $x_{i}$ .

$x_{i+1} = x_{i} + \frac{x_{i}^{4}-x_{i}-3}{4\cdot x_{i}^{3}-1}$

Lastly, the value of $x_{2}$ is determined by replacing $x_{1}$ with its numerical value:

$x_{2} = x_{1} + \frac{x_{1}^{4}-x_{1}-3}{4\cdot x_{1}^{3}-1}$

$x_{2} = 1.0000 + \frac{1.0000^{4}-1.0000-3}{4\cdot (1.0000)^{3}-1}$

$x_{2} = 0.0000$

8 0

3 years ago

Mr. and Mrs. Jones plan on retiring on 70 percent of their pre-retirement earnings. If they earned $47,000 the last year before

kvasek [131]

32,900 is your answer so it's "A".

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3 years ago

At the time that a 55 foot tall tree casts a shadow that is 32 feet long, a nearby woman is 5.5 feet tall. Which measure is the

Tasya [4]

Answer:

3.2ft long shadow

Step-by-step explanation:

In this problem we are given a ratio between the tree/shadow and woman/shadow therefore we are given 3 values and 1 unknown then we can use the Rule of Three to calculate the length of the shadow which we will refer to as x. The Rule of Three simply multiplies the diagonal values and divides by the third value in order to get the missing unknown like so...

55ft tall <======> 32ft long shadow

5.5ft tall <======> x ft long shadow

(5.5 * 32) / 55 = 3.2ft long shadow

Finally, we can see that the woman's shadow would be a 3.2ft long shadow

8 0

3 years ago